diff --git "a/all/mathqa_gain.json" "b/all/mathqa_gain.json" deleted file mode 100644--- "a/all/mathqa_gain.json" +++ /dev/null @@ -1,73034 +0,0 @@ -{ - "Source": "https://arxiv.org/pdf/2108.07732.pdf", - "Categories": [ - { - "Math complexity": 3, - "Language complexity": 7, - "Domain knowledge complexity": 0 - } - ], - "Instances": [ - { - "Input": "the banker ' s gain of a certain sum due 3 years hence at 10 % per annum is rs . 36 . what is the present worth ?", - "Output Program": [ - "n0 = 3.0\nn1 = 10.0\nn2 = 36.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nt2 = t0 / t1\nt3 = t2 * 100.0\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "120 is what percent of 50 ?", - "Output Program": [ - "n0 = 120.0\nn1 = 50.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "240" - ], - "split": "train" - }, - { - "Input": "an empty fuel tank with a capacity of 218 gallons was filled partially with fuel a and then to capacity with fuel b . fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume . if the full fuel tank contains 30 gallons of ethanol , how many gallons of fuel a were added ?", - "Output Program": [ - "n0 = 218.0\nn1 = 12.0\nn2 = 16.0\nn3 = 30.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 * t0\nt3 = t0 - t1\nt4 = t2 - n3\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "122.00000000000004" - ], - "split": "train" - }, - { - "Input": "j is 25 % less than p and 20 % less than t . t is q % less than p . what is the value of q ?", - "Output Program": [ - "n0 = 25.0\nn1 = 20.0\nt0 = n0 * n0\nanswer = t0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "6.25" - ], - "split": "train" - }, - { - "Input": "arun makes a popular brand of ice cream in a rectangular shaped bar 6 cm long , 5 cm wide and 2 cm thick . to cut costs , the company had decided to reduce the volume of the bar by 19 % . the thickness will remain same , but the length and width will be decreased by some percentage . the new width will be ,", - "Output Program": [ - "n0 = 6.0\nn1 = 5.0\nn2 = 2.0\nn3 = 19.0\nt0 = n0 * n1\nt1 = n2 * t0\nt2 = t1 / n2\nanswer = t2 + 3.0\nprint(answer)" - ], - "Output Answer": [ - "33" - ], - "split": "train" - }, - { - "Input": "the profit obtained by selling an article for rs . 57 is the same as the loss obtained by selling it for rs . 43 . what is the cost price of the article ?", - "Output Program": [ - "n0 = 57.0\nn1 = 43.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "in 2008 , the profits of company n were 8 percent of revenues . in 2009 , the revenues of company n fell by 20 percent , but profits were 15 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?", - "Output Program": [ - "n0 = 2008.0\nn1 = 8.0\nn2 = 2009.0\nn3 = 20.0\nn4 = 15.0\nn5 = 2009.0\nn6 = 2008.0\nt0 = n3 / 100.0\nt1 = 1.0 - t0\nt2 = n4 * t1\nt3 = t2 / n1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "if the cost price is 96 % of sp then what is the profit %", - "Output Program": [ - "n0 = 96.0\nt0 = 100.0 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "4.166666666666666" - ], - "split": "train" - }, - { - "Input": "a person lent a certain sum of money at 4 % per annum at simple interest and in 8 years the interest amounted to rs . 306 less than the sum lent . what was the sum lent ?", - "Output Program": [ - "n0 = 4.0\nn1 = 8.0\nn2 = 306.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "450.00000000000006" - ], - "split": "train" - }, - { - "Input": "because he \u2019 s taxed by his home planet , mork pays a tax rate of 40 % on his income , while mindy pays a rate of only 30 % on hers . if mindy earned 3 times as much as mork did , what was their combined tax rate ?", - "Output Program": [ - "n0 = 40.0\nn1 = 30.0\nn2 = 3.0\nt0 = n2 + 1.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = n2 * t2\nt4 = t1 + t3\nt5 = t4 / t0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "32.49999999999999" - ], - "split": "train" - }, - { - "Input": "how many ounces of a 60 % salt solution must be added to 30 ounces of a 20 percent salt solution so that the resulting mixture is 40 % salt ?", - "Output Program": [ - "n0 = 60.0\nn1 = 30.0\nn2 = 20.0\nn3 = 40.0\nt0 = n3 / 100.0\nt1 = n2 / 100.0\nt2 = n1 * t0\nt3 = n1 * t1\nt4 = t0 - t1\nt5 = t2 - t3\nanswer = t5 / t4\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "a certain college ' s enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991 , and its enrollment at the beginning of 1993 was 5 percent greater than it was at the beginning of 1992 . the college ' s enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ?", - "Output Program": [ - "n0 = 1992.0\nn1 = 20.0\nn2 = 1991.0\nn3 = 1993.0\nn4 = 5.0\nn5 = 1992.0\nn6 = 1993.0\nn7 = 1991.0\nt0 = n1 + 100.0\nt1 = n4 + 100.0\nt2 = t1 / 100.0\nt3 = t0 * t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "26" - ], - "split": "train" - }, - { - "Input": "a pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer \u2019 s suggested retail price . if during a sale , the store discounts an additional 20 percent from the discount price , what would be the lowest possible price of a container of pet food that had a manufacturer \u2019 s suggested retail price o f $ 40.00 ?", - "Output Program": [ - "n0 = 10.0\nn1 = 30.0\nn2 = 20.0\nn3 = 40.0\nt0 = 100.0 - n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = n3 * t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "22.400000000000002" - ], - "split": "train" - }, - { - "Input": "kanul spent $ 3000 in buying raw materials , $ 1000 in buying machinery and 30 % of the total amount he had as cash with him . what was the total amount ?", - "Output Program": [ - "n0 = 3000.0\nn1 = 1000.0\nn2 = 30.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = 1.0 - t1\nanswer = t0 / t2\nprint(answer)" - ], - "Output Answer": [ - "5714.285714285715" - ], - "split": "train" - }, - { - "Input": "a circle graph shows how the megatech corporation allocates its research and development budget : 12 % microphotonics ; 24 % home electronics ; 15 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics . if the arc of each sector of the graph is proportional to the percentage of the budget it represents , how many degrees of the circle are used to represent basic astrophysics research ?", - "Output Program": [ - "n0 = 12.0\nn1 = 24.0\nn2 = 15.0\nn3 = 29.0\nn4 = 8.0\nt0 = n0 + n1\nt1 = 3600.0 / 10.0\nt2 = n2 + t0\nt3 = n3 + t2\nt4 = n4 + t3\nt5 = 100.0 - t4\nt6 = t1 * t5\nanswer = t6 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "43.2" - ], - "split": "train" - }, - { - "Input": "if the annual increase in the population of a town is 10 % and the present number of people is 10000 , what will the population be in 2 years ?", - "Output Program": [ - "n0 = 10.0\nn1 = 10000.0\nn2 = 2.0\nt0 = n0 + 100.0\nt1 = t0 / 100.0\nt2 = n1 * t1\nanswer = t1 * t2\nprint(answer)" - ], - "Output Answer": [ - "12100.000000000002" - ], - "split": "train" - }, - { - "Input": "a certain company \u2019 s profit in 1996 was 15 percent greater than its profit in 1995 , and its profit in 1997 was 35 percent greater than its profit in 1996 . the company \u2019 s profit in 1997 was what percent greater than its profit in 1995 ?", - "Output Program": [ - "n0 = 1996.0\nn1 = 15.0\nn2 = 1995.0\nn3 = 1997.0\nn4 = 35.0\nn5 = 1996.0\nn6 = 1997.0\nn7 = 1995.0\nt0 = n4 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "55.25" - ], - "split": "train" - }, - { - "Input": "a , b and c started a partnership business by investing rs . 12000 , rs . 16000 , rs . 20000 respectively . at the end of the year , the profit were distributed among them . if c ' s share of profit is 36000 , what is the total profit ?", - "Output Program": [ - "n0 = 12000.0\nn1 = 16000.0\nn2 = 20000.0\nn3 = 36000.0\nt0 = n0 / n2\nt1 = n1 / n2\nt2 = n3 * t0\nt3 = n3 * t1\nt4 = t2 + t3\nanswer = n3 + t4\nprint(answer)" - ], - "Output Answer": [ - "86400" - ], - "split": "train" - }, - { - "Input": "sarah operated her lemonade stand monday through friday over a two week period and made a total profit of 450 dollars . on hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days . each cup she sold had a total cost of 75 cents and sarah did not incur any other costs . if every day she sold exactly 32 cups and 3 of the days were hot , then what was the price of 1 cup on a hot day ?", - "Output Program": [ - "n0 = 450.0\nn1 = 25.0\nn2 = 75.0\nn3 = 32.0\nn4 = 3.0\nn5 = 1.0\nt0 = 1.0 + 4.0\nt1 = n1 + 100.0\nt2 = n2 / 100.0\nt3 = t1 / 100.0\nt4 = n3 * t2\nt5 = t0 * 2.0\nt6 = t4 * t5\nt7 = n4 * t3\nt8 = t5 - n4\nt9 = n0 + t6\nt10 = n3 * t8\nt11 = n3 * t7\nt12 = t10 + t11\nt13 = t9 / t12\nanswer = t13 * t3\nprint(answer)" - ], - "Output Answer": [ - "2.5072674418604652" - ], - "split": "train" - }, - { - "Input": "sonika deposited rs . 8000 which amounted to rs . 11200 after 3 years at simple interest . had the interest been 2 % more . she would get how much ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 11200.0\nn2 = 3.0\nn3 = 2.0\nt0 = n3 / 100.0\nt1 = n1 - n0\nt2 = t1 / n2\nt3 = t2 / n0\nt4 = t0 + t3\nt5 = n0 * t4\nt6 = n2 * t5\nanswer = n0 + t6\nprint(answer)" - ], - "Output Answer": [ - "11680" - ], - "split": "train" - }, - { - "Input": "a manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18 % . the wholesaler sells the same to retailer at a profit of 20 % . the retailer in turn sells them to a customer for rs . 30.09 , there by earning a profit of 25 % . the cost price for the manufacturer is :", - "Output Program": [ - "n0 = 18.0\nn1 = 20.0\nn2 = 30.09\nn3 = 25.0\nt0 = 1.0 + 2.0\nt1 = n3 + 100.0\nt2 = n1 + 100.0\nt3 = n0 + 100.0\nt4 = n1 / 2.0\nt5 = 3.0 * 3.0\nt6 = t5 / 100.0\nt7 = t1 / 100.0\nt8 = t2 / 100.0\nt9 = t3 / 100.0\nt10 = t0 * t4\nt11 = t6 + t10\nt12 = t11 / t7\nt13 = t12 / t8\nanswer = t13 / t9\nprint(answer)" - ], - "Output Answer": [ - "17" - ], - "split": "train" - }, - { - "Input": "how long will a boy take to run round a square field of side 40 meters , if he runs at the rate of 12 km / hr ?", - "Output Program": [ - "n0 = 40.0\nn1 = 12.0\nt0 = 1000.0 / 3600.0\nt1 = n0 * 4.0\nt2 = n1 * t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "48" - ], - "split": "train" - }, - { - "Input": "a fair price shopkeeper takes 10 % profit on his goods . he lost 40 % goods during theft . his loss percent is :", - "Output Program": [ - "n0 = 10.0\nn1 = 40.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "34" - ], - "split": "train" - }, - { - "Input": "25 % of a number is more than 20 % of 650 by 190 . find the number ?", - "Output Program": [ - "n0 = 25.0\nn1 = 20.0\nn2 = 650.0\nn3 = 190.0\nt0 = n1 * n2\nt1 = t0 / 100.0\nt2 = n3 + t1\nt3 = t2 * 100.0\nanswer = t3 / n0\nprint(answer)" - ], - "Output Answer": [ - "1280" - ], - "split": "train" - }, - { - "Input": "if the compound interest on a certain sum of money for 2 years at 10 % per annum be rs . 993 , what would be the simple interest ?", - "Output Program": [ - "n0 = 2.0\nn1 = 10.0\nn2 = 993.0\nt0 = 3.0 * 100.0\nt1 = n1 * t0\nt2 = n1 * t1\nt3 = n0 * t2\nanswer = t3 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "in what time a sum of money double itself at 2 % per annum simple interest ?", - "Output Program": [ - "n0 = 2.0\nt0 = 100.0 * 100.0\nt1 = n0 * 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 1300 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 25.0\nn1 = 5.0\nn2 = 1300.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "65" - ], - "split": "train" - }, - { - "Input": "a sum amounts to rs . 5292 in 2 years at the rate of 5 % p . a . if interest was compounded yearly then what was the principal ?", - "Output Program": [ - "n0 = 5292.0\nn1 = 2.0\nn2 = 5.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "4800" - ], - "split": "train" - }, - { - "Input": "a sells a cricket bat to b at a profit of 20 % . b sells it to c at a profit of 25 % . if c pays $ 234 for it , the cost price of the cricket bat for a is :", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nn2 = 234.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "156" - ], - "split": "train" - }, - { - "Input": "a lent rs . 5000 to b for 2 years and rs . 3000 to c for 4 years on simple interest at the same rate of interest and received rs . 2640 in all from both of them as interest . the rate of interest per annum is ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 2.0\nn2 = 3000.0\nn3 = 4.0\nn4 = 2640.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 + t1\nt3 = n4 / t2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "train" - }, - { - "Input": "in a certain boys camp , 20 % of the total boys are from school a and 30 % of those study science . if there are 56 boys in the camp that are from school a but do not study science then what is the total number of boys in the camp ?", - "Output Program": [ - "n0 = 20.0\nn1 = 30.0\nn2 = 56.0\nt0 = n0 / 100.0\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nt3 = t2 * t0\nanswer = n2 / t3\nprint(answer)" - ], - "Output Answer": [ - "400.00000000000006" - ], - "split": "train" - }, - { - "Input": "a trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg . in order to earn a profit of 35 % , what should be the sale price of the mixed tea ?", - "Output Program": [ - "n0 = 80.0\nn1 = 15.0\nn2 = 20.0\nn3 = 20.0\nn4 = 35.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n2\nt3 = t1 + t2\nt4 = t3 / t0\nt5 = n4 * t4\nt6 = t5 / 100.0\nanswer = t6 + t4\nprint(answer)" - ], - "Output Answer": [ - "21.6" - ], - "split": "train" - }, - { - "Input": "machine a and machine b are each used to manufacture 330 sprockets . it takes machine a 10 hours longer to produce 330 sprockets than machine b . machine b produces 10 percent more sprockets per hour than machine a . how many sprockets per hour does machine a produces ?", - "Output Program": [ - "n0 = 330.0\nn1 = 10.0\nn2 = 330.0\nn3 = 10.0\nt0 = n1 + 100.0\nt1 = n0 * n1\nt2 = t0 / 100.0\nt3 = t2 * t1\nt4 = n0 * t2\nt5 = t4 - n0\nt6 = t3 / t5\nanswer = n0 / t6\nprint(answer)" - ], - "Output Answer": [ - "3.0000000000000044" - ], - "split": "train" - }, - { - "Input": "jim is able to sell a hand - carved statue for $ 660 which was a 20 % profit over his cost . how much did the statue originally cost him ?", - "Output Program": [ - "n0 = 660.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "550" - ], - "split": "train" - }, - { - "Input": "a dishonest dealer professes to sell goods at the cost price but uses a weight of 600 grams per kg , what is his percent ?", - "Output Program": [ - "n0 = 600.0\nt0 = 2.0 + 3.0\nt1 = 100.0 / n0\nt2 = t0 * 2.0\nt3 = t2 * 100.0\nt4 = t1 * t3\nanswer = t4 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "66.66666666666666" - ], - "split": "train" - }, - { - "Input": "80 is what percent of 160 ?", - "Output Program": [ - "n0 = 80.0\nn1 = 160.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $ 200 . if a store employee applied the 30 percent employee discount to the retail price to buy the recorder , how much did the employee pay for the recorder ?", - "Output Program": [ - "n0 = 20.0\nn1 = 200.0\nn2 = 30.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n1 + t1\nt3 = t2 / 100.0\nt4 = n2 * t3\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "168" - ], - "split": "train" - }, - { - "Input": "what sum of money will produce rs . 90 as simple interest in 4 years at 3 1 / 2 percent ?", - "Output Program": [ - "n0 = 90.0\nn1 = 4.0\nn2 = 3.0\nn3 = 1.0\nn4 = 2.0\nt0 = n3 / n4\nt1 = n2 + t0\nt2 = n1 * t1\nt3 = t2 / 100.0\nanswer = n0 / t3\nprint(answer)" - ], - "Output Answer": [ - "642.8571428571428" - ], - "split": "train" - }, - { - "Input": "a and b enter into a partnership . a contributed rs . 5000 for 8 months and b rs . 6000 for 5 months . find a ' s share in a total profit of rs . 8400 .", - "Output Program": [ - "n0 = 5000.0\nn1 = 8.0\nn2 = 6000.0\nn3 = 5.0\nn4 = 8400.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 + t1\nt3 = t0 / t2\nanswer = n4 * t3\nprint(answer)" - ], - "Output Answer": [ - "4800" - ], - "split": "train" - }, - { - "Input": "there are 50 students in a class . if 12 % are absent on a particular day , find the number of students present in the class .", - "Output Program": [ - "n0 = 50.0\nn1 = 12.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nanswer = t1 * n0\nprint(answer)" - ], - "Output Answer": [ - "44" - ], - "split": "train" - }, - { - "Input": "an inspector rejects 10 % of the meters as defective . how many will he examine to reject 12 ?", - "Output Program": [ - "n0 = 10.0\nn1 = 12.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "a fruit seller had some apples . he sells 60 % apples and still has 300 apples . originally , he had :", - "Output Program": [ - "n0 = 60.0\nn1 = 300.0\n\nanswer = n1 * 100 / (100 + 1e-5 - n0) # original price before loss\nprint(answer)" - ], - "Output Answer": [ - "749.9998125000468" - ], - "split": "train" - }, - { - "Input": "a candidate got 35 % of the votes and lost to the rival by 1650 votes . how many votes were cast ?", - "Output Program": [ - "n0 = 35.0\nn1 = 1650.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "5499.999999999999" - ], - "split": "train" - }, - { - "Input": "a bag marked at $ 80 is sold for $ 68 . the rate of discount is ?", - "Output Program": [ - "n0 = 80.0\nn1 = 68.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "at what price must an book costing $ 47.50 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 25 % on the cost price ?", - "Output Program": [ - "n0 = 47.5\nn1 = 5.0\nn2 = 25.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = n0 * t0\nt3 = t2 / 100.0\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "62.5" - ], - "split": "train" - }, - { - "Input": "one type of liquid contains 20 % of water and the second type of liquid contains 35 % of water . a glass is filled with 10 parts of 1 st liquid and 4 parts of 2 nd liquid . the percentage of water in the new mixture in the glass is ?", - "Output Program": [ - "n0 = 20.0\nn1 = 35.0\nn2 = 10.0\nn3 = 1.0\nn4 = 4.0\nn5 = 2.0\nt0 = n2 + n4\nt1 = n0 * n2\nt2 = n1 * n4\nt3 = t1 / 100.0\nt4 = t2 / 100.0\nt5 = 100.0 / t0\nt6 = t3 + t4\nanswer = t6 * t5\nprint(answer)" - ], - "Output Answer": [ - "24.285714285714285" - ], - "split": "train" - }, - { - "Input": "john and david can finish a job together in 1 hours . if john can do the job by himself in 2 hours , what percent of the job does david do ?", - "Output Program": [ - "n0 = 1.0\nn1 = 2.0\nt0 = 1 / n1\nt1 = n0 - t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sells 10 % of his stock at 20 % profit ans sells the remaining at a loss of 5 % . he incurred an overall loss of rs . 400 . find the total worth of the stock ?", - "Output Program": [ - "n0 = 10.0\nn1 = 20.0\nn2 = 5.0\nn3 = 400.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 / 100.0\nt3 = 100.0 - n0\nt4 = t3 / 100.0\nt5 = t1 * t2\nt6 = t0 * t4\nt7 = t6 - t5\nanswer = n3 / t7\nprint(answer)" - ], - "Output Answer": [ - "16000" - ], - "split": "train" - }, - { - "Input": "by selling an article at rs . 250 , a profit of 25 % is made . find its cost price ?", - "Output Program": [ - "n0 = 250.0\nn1 = 25.0\nt0 = n1 + 100.0\nt1 = n0 * 100.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "there were two candidates in an election . winner candidate received 62 % of votes and won the election by 288 votes . find the number of votes casted to the winning candidate ?", - "Output Program": [ - "n0 = 62.0\nn1 = 288.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nt3 = n1 / t2\nt4 = n0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "744" - ], - "split": "train" - }, - { - "Input": "the price of a coat in a certain store is $ 500 . if the price of the coat is to be reduced by $ 200 , by what percent is the price to be reduced ?", - "Output Program": [ - "n0 = 500.0\nn1 = 200.0\nt0 = n1 / n0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "because he \u2019 s taxed by his home planet , mork pays a tax rate of 10 % on his income , while mindy pays a rate of 20 % on hers . if mindy earned 3 times as much as mork did , what was their combined tax rate ?", - "Output Program": [ - "n0 = 10.0\nn1 = 20.0\nn2 = 3.0\nt0 = n2 + 1.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = n2 * t2\nt4 = t1 + t3\nt5 = t4 / t0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "17.5" - ], - "split": "train" - }, - { - "Input": "if the personal income tax rate is lowered from 40 % to 33 % , what is the differential savings for a tax payer having an annual income before tax to the tune of $ 45000 ?", - "Output Program": [ - "n0 = 40.0\nn1 = 33.0\nn2 = 45000.0\nt0 = n2 / 100.0\nt1 = n0 - n1\nanswer = t0 * t1\nprint(answer)" - ], - "Output Answer": [ - "3150" - ], - "split": "train" - }, - { - "Input": "find the annual income derived by investing $ 6800 in 30 % stock at 136 .", - "Output Program": [ - "n0 = 6800.0\nn1 = 30.0\nn2 = 136.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" - ], - "Output Answer": [ - "1500" - ], - "split": "train" - }, - { - "Input": "daniel went to a shop and bought things worth rs . 25 , out of which 30 paise went on sales tax on taxable purchases . if the tax rate was 10 % , then what was the cost of the tax free items ?", - "Output Program": [ - "n0 = 25.0\nn1 = 30.0\nn2 = 10.0\nt0 = n1 / 100.0\nt1 = n1 / n2\nt2 = n0 - t0\nanswer = t2 - t1\nprint(answer)" - ], - "Output Answer": [ - "21.7" - ], - "split": "train" - }, - { - "Input": "if a person buy radio worth rs 2468 and pay 7 % sales . how much price of radio should reduce to pay only rs 2468 .", - "Output Program": [ - "n0 = 2468.0\nn1 = 7.0\nn2 = 2468.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n0 / t1\nanswer = n0 - t2\nprint(answer)" - ], - "Output Answer": [ - "161.45794392523385" - ], - "split": "train" - }, - { - "Input": "what will be the ci on a sum of rs . 25000 after 3 years at the rate of 12 per year ?", - "Output Program": [ - "n0 = 25000.0\nn1 = 3.0\nn2 = 12.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nt3 = n0 * t2\nanswer = t3 - n0\nprint(answer)" - ], - "Output Answer": [ - "10123.200000000012" - ], - "split": "train" - }, - { - "Input": "an error 4 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is", - "Output Program": [ - "n0 = 4.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "8.16" - ], - "split": "train" - }, - { - "Input": "harkamal purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 8.0\nn1 = 70.0\nn2 = 9.0\nn3 = 55.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1055" - ], - "split": "train" - }, - { - "Input": "a 5 % stock yields 10 % . the market value of the stock is :", - "Output Program": [ - "n0 = 5.0\nn1 = 10.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "the cost price of a radio is rs . 1900 and it was sold for rs . 1330 , find the loss % ?", - "Output Program": [ - "n0 = 1900.0\nn1 = 1330.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "a merchant marks his goods up by 20 % and then offers a discount of 10 % on the marked price . what % profit does the merchant make after the discount ?", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "a shopkeeper fixes the marked price of an item 30 % above its cost price . the percentage of discount allowed to gain 6 % is", - "Output Program": [ - "n0 = 30.0\nn1 = 6.0\nt0 = n1 + 100.0\nt1 = n0 + 100.0\nt2 = t0 / t1\nt3 = t2 * 100.0\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "18.461538461538467" - ], - "split": "train" - }, - { - "Input": "mike needs 30 % to pass . if he scored 212 marks and falls short by 25 marks , what was the maximum marks he could have got ?", - "Output Program": [ - "n0 = 30.0\nn1 = 212.0\nn2 = 25.0\nt0 = n1 + n2\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "790" - ], - "split": "train" - }, - { - "Input": "what profit percent is made by selling an article at a certain price , if by selling at 2 / 3 rd of that price , there would be a loss of 15 % ?", - "Output Program": [ - "n0 = 2.0\nn1 = 3.0\nn2 = 15.0\nt0 = n0 / n1\nt1 = 100.0 - n2\nt2 = t1 / t0\nanswer = t2 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "27.5" - ], - "split": "train" - }, - { - "Input": "machine p and machine q are each used to manufacture 880 sprockets . it takes machine p 10 hours longer to produce 880 sprockets than machine q . machine q produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machine a produce ?", - "Output Program": [ - "n0 = 880.0\nn1 = 10.0\nn2 = 880.0\nn3 = 10.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n0 / t1\nt3 = n0 - t2\nanswer = t3 / n1\nprint(answer)" - ], - "Output Answer": [ - "8.00000000000001" - ], - "split": "train" - }, - { - "Input": "in an examination 35 % of the students passed and 351 failed . how many students appeared for the examination ?", - "Output Program": [ - "n0 = 35.0\nn1 = 351.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "540" - ], - "split": "train" - }, - { - "Input": "if w is 40 percent less than q , q is 40 percent less than y , and z is 46 percent less than y , then z is greater than w by what percent of w ?", - "Output Program": [ - "n0 = 40.0\nn1 = 40.0\nn2 = 46.0\nt0 = 100.0 - n2\nt1 = 100.0 - n0\nt2 = n0 * t1\nt3 = t2 / 100.0\nt4 = t1 - t3\nt5 = t0 - t4\nt6 = t5 / t4\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 % . during the new year season , it further marked up its prices by 25 % of the original retail price . in february , the store then offered a discount of 12 % . what was its profit on the items sold in february ?", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nn2 = 12.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = 100.0 - n2\nt3 = t2 / 100.0\nt4 = t1 / 100.0\nt5 = t0 * t4\nt6 = t3 * t5\nanswer = t6 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "32" - ], - "split": "train" - }, - { - "Input": "a , b and c enter into partnership . a invests some money at the beginning , b invests double the amount after 6 months , and c invests thrice the amount after 8 months . if the annual gain be rs . 18600 . a ' s share is ?", - "Output Program": [ - "n0 = 6.0\nn1 = 8.0\nn2 = 18600.0\nt0 = 1.0 * 12.0\nt1 = 12.0 - n0\nt2 = 12.0 - n1\nt3 = t1 * 2.0\nt4 = t2 * 3.0\nt5 = t0 + t3\nt6 = t5 + t4\nt7 = n2 / t6\nanswer = t7 * t0\nprint(answer)" - ], - "Output Answer": [ - "6200" - ], - "split": "train" - }, - { - "Input": "an investment yields an interest payment of $ 240 each month . if the simple annual interest rate is 9 % , what is the amount of the investment ?", - "Output Program": [ - "n0 = 240.0\nn1 = 9.0\nt0 = 3.0 * 4.0\nt1 = n1 / t0\nt2 = n0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "32000" - ], - "split": "train" - }, - { - "Input": "a retailer bought a machine at a wholesale price of $ 81 and later on sold it after a 10 % discount of the retail price . if the retailer made a profit equivalent to 20 % of the whole price , what is the retail price of the machine ?", - "Output Program": [ - "n0 = 81.0\nn1 = 10.0\nn2 = 20.0\nt0 = n0 * n2\nt1 = 3.0 * 3.0\nt2 = t0 / 100.0\nt3 = n1 * t1\nt4 = n0 + t2\nt5 = t4 * 100.0\nanswer = t5 / t3\nprint(answer)" - ], - "Output Answer": [ - "108" - ], - "split": "train" - }, - { - "Input": "what is 0.05 percent of 12,356 ?", - "Output Program": [ - "n0 = 0.05\nn1 = 12356.0\nt0 = 2.0 + 3.0\nt1 = 3.0 + 4.0\nt2 = 3.0 + 3.0\nt3 = 3.0 * 4.0\nt4 = t0 * 2.0\nt5 = t3 * 100.0\nt6 = t1 * t0\nt7 = t4 * t5\nt8 = t6 * t4\nt9 = t7 + t8\nt10 = t9 + t2\nt11 = n0 * t10\nanswer = t11 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "6.178000000000001" - ], - "split": "train" - }, - { - "Input": "at an election 2 candidates are participated and a candidate got 45 % of votes and defeated by 9000 . and 83 votes are invalid . find the total polled votes ?", - "Output Program": [ - "n0 = 2.0\nn1 = 45.0\nn2 = 9000.0\nn3 = 83.0\nt0 = n2 + n3\nt1 = n0 * n1\nt2 = t1 / 100.0\nt3 = 1.0 - t2\nanswer = t0 / t3\nprint(answer)" - ], - "Output Answer": [ - "90830.00000000001" - ], - "split": "train" - }, - { - "Input": "by selling an article at rs . 800 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 35 % ?", - "Output Program": [ - "n0 = 800.0\nn1 = 25.0\nn2 = 35.0\nt0 = n1 + 100.0\nt1 = n0 * 100.0\nt2 = t1 / t0\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "416" - ], - "split": "train" - }, - { - "Input": "peter brought a scooter for a certain sum of money . he spent 10 % of the cost on repairs and sold the scooter for a profit of $ 1100 . how much did he spend on repairs if he made a profit of 20 % ?", - "Output Program": [ - "n0 = 10.0\nn1 = 1100.0\nn2 = 20.0\nt0 = 10.0 + 100.0\nt1 = n1 * 100.0\nt2 = t1 / n2\nt3 = t2 / t0\nt4 = t3 * 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "train" - }, - { - "Input": "if the cost price of 19 articles is equal to the selling price of 16 articles , what is the percentage of profit or loss that the merchant makes ?", - "Output Program": [ - "n0 = 19.0\nn1 = 16.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = 100.0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "18.749999999999993" - ], - "split": "train" - }, - { - "Input": "in the manufacture of a certain product , 7 percent of the units produced are defective and 5 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?", - "Output Program": [ - "n0 = 7.0\nn1 = 5.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "0.35000000000000003" - ], - "split": "train" - }, - { - "Input": "the compound interest earned by sunil on a certain amount at the end of two years at the rate of 4 % p . a . was rs . 326.40 . find the total amount that sunil got back at the end of two years in the form of principal plus interest earned .", - "Output Program": [ - "n0 = 4.0\nn1 = 326.4\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nt3 = t2 - 1.0\nt4 = n1 / t3\nanswer = n1 + t4\nprint(answer)" - ], - "Output Answer": [ - "4326.399999999994" - ], - "split": "train" - }, - { - "Input": "a candidate got 35 % of the votes polled and he lost to his rival by 2370 votes . how many votes were cast ?", - "Output Program": [ - "n0 = 35.0\nn1 = 2370.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "7899.999999999999" - ], - "split": "train" - }, - { - "Input": "a money lender lent rs . 1000 at 3 % per year and rs . 1400 at 3 % per year . the amount should be returned to him when the total interest comes to rs . 350 . find the number of years .", - "Output Program": [ - "n0 = 1000.0\nn1 = 3.0\nn2 = 1400.0\nn3 = 3.0\nn4 = 350.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 + t3\nanswer = n4 / t4\nprint(answer)" - ], - "Output Answer": [ - "4.861111111111111" - ], - "split": "train" - }, - { - "Input": "by weight , liquid x makes up 0.8 percent of solution a and 1.8 percent of solution b . if 400 grams of solution a are mixed with 700 grams of solution b , then liquid x accounts for what percent of the weight of the resulting solution ?", - "Output Program": [ - "n0 = 0.8\nn1 = 1.8\nn2 = 400.0\nn3 = 700.0\nt0 = n0 * n2\nt1 = n1 * n3\nt2 = t0 + t1\nanswer = t2 / 1000.0\nprint(answer)" - ], - "Output Answer": [ - "1.58" - ], - "split": "train" - }, - { - "Input": "rakesh credits 15 % of his salary in his fixed deposit account and spends 30 % of the remaining amount on groceries . if the cash in hand is rs . 2380 , what is his salary ?", - "Output Program": [ - "n0 = 15.0\nn1 = 30.0\nn2 = 2380.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 * t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "4000" - ], - "split": "train" - }, - { - "Input": "by selling an article at rs . 400 , a profit of 60 % is made . find its cost price ?", - "Output Program": [ - "n0 = 400.0\nn1 = 60.0\nt0 = n1 + 100.0\nt1 = n0 * 100.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "250" - ], - "split": "train" - }, - { - "Input": "each month a retailer sells 100 identical items . on each item he makes a profit of $ 30 that constitutes 10 % of the item ' s price to the retailer . if the retailer contemplates giving a 5 % discount on the items he sells , what is the least number of items he will have to sell each month to justify the policy of the discount ?", - "Output Program": [ - "n0 = 100.0\nn1 = 30.0\nn2 = 10.0\nn3 = 5.0\nt0 = n0 * n1\nt1 = t0 / n2\nt2 = n1 + t1\nt3 = n3 * t2\nt4 = t3 / n0\nt5 = n1 - t4\nanswer = t0 / t5\nprint(answer)" - ], - "Output Answer": [ - "222.22222222222223" - ], - "split": "train" - }, - { - "Input": "increasing the original price of a certain item by 25 percent and then increasing the new price by 25 percent is equivalent to increasing the original price by what percent ?", - "Output Program": [ - "n0 = 25.0\nn1 = 25.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "56.25" - ], - "split": "train" - }, - { - "Input": "ramu bought an old car for rs . 42000 . he spent rs . 13000 on repairs and sold it for rs . 61900 . what is his profit percent ?", - "Output Program": [ - "n0 = 42000.0\nn1 = 13000.0\nn2 = 61900.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12.545454545454545" - ], - "split": "train" - }, - { - "Input": "increasing the original price of an article by 5 percent and then increasing the new price by 5 percent is equivalent to increasing the original price by", - "Output Program": [ - "n0 = 5.0\nn1 = 5.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1 * t1\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10.250000000000004" - ], - "split": "train" - }, - { - "Input": "bruce purchased 8 kg of grapes at the rate of 70 per kg and 11 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 8.0\nn1 = 70.0\nn2 = 11.0\nn3 = 55.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1165" - ], - "split": "train" - }, - { - "Input": "an article is bought for rs . 600 and sold for rs . 450 , find the loss percent ?", - "Output Program": [ - "n0 = 600.0\nn1 = 450.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nanswer = 100.0 - t1\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "the true discount on a bill of rs . 2160 is rs . 360 . what is the banker ' s discount ?", - "Output Program": [ - "n0 = 2160.0\nn1 = 360.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "432" - ], - "split": "train" - }, - { - "Input": "if the cost price is 82 % of the selling price , then what is the profit percent ?", - "Output Program": [ - "n0 = 82.0\nt0 = 100.0 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "21.951219512195124" - ], - "split": "train" - }, - { - "Input": "if 0.5 % of a = 85 paise , then the value of a is ?", - "Output Program": [ - "n0 = 0.5\nn1 = 85.0\n\nanswer = n1 / n0\nprint(answer)" - ], - "Output Answer": [ - "170" - ], - "split": "train" - }, - { - "Input": "find the compound interest on $ 1200 for 5 years at 20 % p . a . if ci is component yearly ?", - "Output Program": [ - "n0 = 1200.0\nn1 = 5.0\nn2 = 20.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nt3 = n0 * t2\nanswer = t3 - n0\nprint(answer)" - ], - "Output Answer": [ - "1785.9839999999995" - ], - "split": "train" - }, - { - "Input": "what will be the compound interest on rs . 40000 after 3 years at the rate of 12 % per annum", - "Output Program": [ - "n0 = 40000.0\nn1 = 3.0\nn2 = 12.0\nt0 = n2 / 100.0\nt1 = 100.0 * 4.0\nt2 = t0 + 1.0\nt3 = t1 * 100.0\nt4 = t2**min(n1, 5)\nt5 = t3 * t4\nanswer = t5 - t3\nprint(answer)" - ], - "Output Answer": [ - "16197.120000000017" - ], - "split": "train" - }, - { - "Input": "a man is walking at the rate of 7 km / hr crosses a bridge in 15 minutes . the length of the bridge is", - "Output Program": [ - "n0 = 7.0\nn1 = 15.0\nt0 = n1 / 60.0\nt1 = n0 * t0\nanswer = t1 * 1000.0\nprint(answer)" - ], - "Output Answer": [ - "1750" - ], - "split": "train" - }, - { - "Input": "compound interest of rs . 1000 at 10 % per annum for 1 1 / 2 years will be ( interest compounded half yearly ) .", - "Output Program": [ - "n0 = 1000.0\nn1 = 10.0\nn2 = 1.0\nn3 = 1.0\nn4 = 2.0\nt0 = n1 / n4\nt1 = n2 / n4\nt2 = n2 + t1\nt3 = t0 / 100.0\nt4 = t3 + n2\nt5 = t2 * n4\nt6 = t4**min(t5, 5)\nt7 = n0 * t6\nanswer = t7 - n0\nprint(answer)" - ], - "Output Answer": [ - "157.62500000000023" - ], - "split": "train" - }, - { - "Input": "a is a working partner and b is a sleeping partner in the business . a puts in rs . 3500 and b rs . 1500 , a receives 10 % of the profit for managing the business the rest being divided in proportion of their capitals . out of a total profit of rs . 9600 , money received by a is ?", - "Output Program": [ - "n0 = 3500.0\nn1 = 1500.0\nn2 = 10.0\nn3 = 9600.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = n1 / t0\nt3 = 1.0 - t1\nt4 = n3 * t3\nt5 = t2 * t4\nanswer = n3 - t5\nprint(answer)" - ], - "Output Answer": [ - "7008" - ], - "split": "train" - }, - { - "Input": "after 10 % of the inhabitants of a village disappeared , a panic set in during which 25 % of the remaining inhabitants left the village . at that time , the population was reduced to 4725 . what was the number of original inhabitants ?", - "Output Program": [ - "n0 = 10.0\nn1 = 25.0\nn2 = 4725.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = 1.0 - t0\nt3 = t1 * t2\nt4 = t2 - t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "6999.999999999999" - ], - "split": "train" - }, - { - "Input": "a ladder 14 feet long is leaning against a wall that is perpendicular to level ground . the bottom of the ladder is 5 feet from the base of the wall . if the top of the ladder slips down 4 feet , how many feet will the bottom of the ladder slip ?", - "Output Program": [ - "import math\nn0 = 14.0\nn1 = 5.0\nn2 = 4.0\nt0 = n0**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = t0 - t1\nt3 = math.sqrt(max(0, t2))\nt4 = t3 - n2\nt5 = t4**min(2.0, 5)\nt6 = t0 - t5\nanswer = math.sqrt(max(0, t6))\nprint(answer)" - ], - "Output Answer": [ - "10.658966865741546" - ], - "split": "train" - }, - { - "Input": "from january 1 , 2015 , to january 1 , 2017 , the number of people enrolled in health maintenance organizations increased by 12 percent . the enrollment on january 1 , 2017 , was 45 million . how many million people , to the nearest million , were enrolled in health maintenance organizations on january 1 , 2015 ?", - "Output Program": [ - "n0 = 1.0\nn1 = 2015.0\nn2 = 1.0\nn3 = 2017.0\nn4 = 12.0\nn5 = 1.0\nn6 = 2017.0\nn7 = 45.0\nn8 = 1.0\nn9 = 2015.0\nt0 = n4 + 100.0\nt1 = 100.0 / t0\nanswer = n7 * t1\nprint(answer)" - ], - "Output Answer": [ - "40.17857142857143" - ], - "split": "train" - }, - { - "Input": "andrew purchased 14 kg of grapes at the rate of 54 per kg and 10 kg of mangoes at the rate of 62 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 14.0\nn1 = 54.0\nn2 = 10.0\nn3 = 62.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1376" - ], - "split": "train" - }, - { - "Input": "what will be the difference between simple and compound interest at 8 % per annum on a sum of rs . 1000 after 4 years ?", - "Output Program": [ - "n0 = 8.0\nn1 = 1000.0\nn2 = 4.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = n1 * t0\nt3 = n2 * t2\nt4 = t1**min(n2, 5)\nt5 = n1 * t4\nt6 = t5 - n1\nanswer = t6 - t3\nprint(answer)" - ], - "Output Answer": [ - "40.48896000000036" - ], - "split": "train" - }, - { - "Input": "sonika deposited rs . 12000 which amounted to rs . 19500 after 4 years at simple interest . had the interest been 3 % more . she would get how much ?", - "Output Program": [ - "n0 = 12000.0\nn1 = 19500.0\nn2 = 4.0\nn3 = 3.0\nt0 = n3 / 100.0\nt1 = n1 - n0\nt2 = t1 / n2\nt3 = t2 / n0\nt4 = t0 + t3\nt5 = n0 * t4\nt6 = n2 * t5\nanswer = n0 + t6\nprint(answer)" - ], - "Output Answer": [ - "20940" - ], - "split": "train" - }, - { - "Input": "a watch was sold at a loss of 10 % . if it was sold for rs . 168 more , there would have been a gain of 4 % . what is the cost price ?", - "Output Program": [ - "n0 = 10.0\nn1 = 168.0\nn2 = 4.0\nt0 = 100.0 + n2\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t0 - t2\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "1200" - ], - "split": "train" - }, - { - "Input": "in town p , 60 percent of the population are employed , and 42 percent of the population are employed males . what percent of the employed people in town p are females ?", - "Output Program": [ - "n0 = 60.0\nn1 = 42.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 70 percent of books that were loaned out are returned and there are 60 books in the special collection at that time , how many books of the special collection were loaned out during that month ?", - "Output Program": [ - "n0 = 75.0\nn1 = 70.0\nn2 = 60.0\nt0 = n1 / 100.0\nt1 = n0 - n2\nt2 = 1.0 - t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "49.99999999999999" - ], - "split": "train" - }, - { - "Input": "if it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 750 responses are needed , what is the minimum number of questionnaires that should be mailed ?", - "Output Program": [ - "n0 = 60.0\nn1 = 750.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "1250" - ], - "split": "train" - }, - { - "Input": "if an investor puts $ 900 in a savings account that earns 10 percent annual interest compounded semiannually , how much money will be in the account after one year ?", - "Output Program": [ - "n0 = 900.0\nn1 = 10.0\nt0 = n1 / 2.0\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nt3 = t2**min(2.0, 5)\nanswer = n0 * t3\nprint(answer)" - ], - "Output Answer": [ - "992.25" - ], - "split": "train" - }, - { - "Input": "each month a retailer sells 100 identical items . on each item he makes a profit of $ 30 that constitutes 16 % of the item ' s price to the retailer . if the retailer contemplates giving a 5 % discount on the items he sells , what is the least number of items he will have to sell each month to justify the policy of the discount ?", - "Output Program": [ - "n0 = 100.0\nn1 = 30.0\nn2 = 16.0\nn3 = 5.0\nt0 = n0 * n1\nt1 = t0 / n2\nt2 = n1 + t1\nt3 = n3 * t2\nt4 = t3 / n0\nt5 = n1 - t4\nanswer = t0 / t5\nprint(answer)" - ], - "Output Answer": [ - "156.86274509803923" - ], - "split": "train" - }, - { - "Input": "the population of a town is 8000 . it decreases annually at the rate of 10 % p . a . what will be its population after 2 years ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 10.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n0 - t1\nt3 = t0 * t2\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "6480" - ], - "split": "train" - }, - { - "Input": "in a certain city , 70 percent of the registered voters are democrats and the rest are republicans . in a mayoral race , if 80 percent of the registered voters who are democrats and 30 percent of the registered voters who are republicans are expected to vote for candidate a , what percent of the registered voters are expected to vote for candidate a ?", - "Output Program": [ - "n0 = 70.0\nn1 = 80.0\nn2 = 30.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = 100.0 - n0\nt3 = n0 * t0\nt4 = t1 * t2\nanswer = t3 + t4\nprint(answer)" - ], - "Output Answer": [ - "65" - ], - "split": "train" - }, - { - "Input": "a broker invested her own money in the stock market . during the first year , she increased her stock market wealth by 80 percent . in the second year , largely as a result of a slump in the stock market , she suffered a 30 percent decrease in the value of her stock investments . what was the net increase or decrease on her overall stock investment wealth by the end of the second year ?", - "Output Program": [ - "n0 = 80.0\nn1 = 30.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "26" - ], - "split": "train" - }, - { - "Input": "a certain sum is invested at simple interest at 18 % p . a . for two years instead of investing at 12 % p . a . for the same time period . therefore the interest received is more by rs . 504 . find the sum ?", - "Output Program": [ - "n0 = 18.0\nn1 = 12.0\nn2 = 504.0\nt0 = n0 - n1\nt1 = t0 * 2.0\nt2 = t1 / 100.0\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "4200" - ], - "split": "train" - }, - { - "Input": "a green lizard can travel from the green cave to the blue cave in 108 minutes ; the blue lizard can travel from the blue cave to the green cave in 25 % less time . if the green lizard started to travel 7.5 minutes before the blue lizard , how many minutes after the blue lizard , will the green lizard pass the middle line ?", - "Output Program": [ - "n0 = 108.0\nn1 = 25.0\nn2 = 7.5\nt0 = n0 / 2.0\nt1 = 3.0 / 4.0\nt2 = n0 * t1\nt3 = t0 - n2\nt4 = t2 / 2.0\nanswer = t3 - t4\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "the cost price of an article is 64 % of the marked price . calculate the gain percent after allowing a discount of 14 % ?", - "Output Program": [ - "n0 = 64.0\nn1 = 14.0\nt0 = 100.0 - n1\nt1 = t0 / n0\nt2 = t1 - 1.0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "34.375" - ], - "split": "train" - }, - { - "Input": "mary works in a restaurant a maximum of 50 hours . for the first 20 hours , she is paid $ 8 per hour . for each overtime hour , she is paid at a rate which is 25 % higher than her regular rate . how much mary can earn in a week ?", - "Output Program": [ - "n0 = 50.0\nn1 = 20.0\nn2 = 8.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n2\nt2 = n0 - n1\nt3 = n2 * t0\nt4 = t3 * t2\nanswer = t1 + t4\nprint(answer)" - ], - "Output Answer": [ - "460" - ], - "split": "train" - }, - { - "Input": "the charge for a single room at hotel p is 70 percent less than the charge for a single room at hotel r and 10 percent less than the charge for a single room at hotel g . the charge for a single room at hotel r is what percent greater than the charge for a single room at hotel g ?", - "Output Program": [ - "n0 = 70.0\nn1 = 10.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = t0 / t1\nt3 = t2 * 100.0\nt4 = 100.0 - t3\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "200.00000000000006" - ], - "split": "train" - }, - { - "Input": "a reduction of 10 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 800 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 10.0\nn1 = 5.0\nn2 = 800.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 20 percent , but profits were 13 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?", - "Output Program": [ - "n0 = 2008.0\nn1 = 10.0\nn2 = 2009.0\nn3 = 20.0\nn4 = 13.0\nn5 = 2009.0\nn6 = 2008.0\nt0 = n3 / 100.0\nt1 = 1.0 - t0\nt2 = n4 * t1\nt3 = t2 / n1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "104" - ], - "split": "train" - }, - { - "Input": "a ladder 14 feet long is leaning against a wall that is perpendicular to level ground . the bottom of the ladder is 9 feet from the base of the wall . if the top of the ladder slips down 1 feet , how many feet will the bottom of the ladder slip ?", - "Output Program": [ - "import math\nn0 = 14.0\nn1 = 9.0\nn2 = 1.0\nt0 = n0**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = t0 - t1\nt3 = math.sqrt(max(0, t2))\nt4 = t3 - n2\nt5 = t4**min(2.0, 5)\nt6 = t0 - t5\nanswer = math.sqrt(max(0, t6))\nprint(answer)" - ], - "Output Answer": [ - "10.07212046142853" - ], - "split": "train" - }, - { - "Input": "a trader sells 40 metres of cloth for rs . 8200 at a profit of rs . 30 per metre of cloth . how much profit will the trder earn on 40 metres of cloth ?", - "Output Program": [ - "n0 = 40.0\nn1 = 8200.0\nn2 = 30.0\nn3 = 40.0\n\nanswer = n0 * n2\nprint(answer)" - ], - "Output Answer": [ - "1200" - ], - "split": "train" - }, - { - "Input": "company p had 15 percent more employees in december than it had in january . if company p had 460 employees in december , how many employees did it have in january ?", - "Output Program": [ - "n0 = 15.0\nn1 = 460.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "400.00000000000006" - ], - "split": "train" - }, - { - "Input": "i sold a book at a profit of 10 % . had i sold it for $ 120 more , 15 % would have been gained . find the cost price ?", - "Output Program": [ - "n0 = 10.0\nn1 = 120.0\nn2 = 15.0\nt0 = n0 * n1\nt1 = n2 - n0\nt2 = t0 / t1\nt3 = t2 * 100.0\nanswer = t3 / n0\nprint(answer)" - ], - "Output Answer": [ - "2400" - ], - "split": "train" - }, - { - "Input": "in an election between two candidates - lange and sobel - 70 % of the voters voted for sobel . of the election ` s voters , 60 % were male . if 35 % of the female voters voted for lange , what percentage of the male voters voted for sobel ?", - "Output Program": [ - "n0 = 70.0\nn1 = 60.0\nn2 = 35.0\nt0 = 100.0 - n1\nt1 = n2 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = n0 - t3\nprint(answer)" - ], - "Output Answer": [ - "44" - ], - "split": "train" - }, - { - "Input": "a , b and c enter into partnership . a invests some money at the beginning , b invests double the amount after 6 months , and c invests thrice the amount after 8 months . if the annual gain be rs . 27000 . a ' s share is ?", - "Output Program": [ - "n0 = 6.0\nn1 = 8.0\nn2 = 27000.0\nt0 = 1.0 * 12.0\nt1 = 12.0 - n0\nt2 = 12.0 - n1\nt3 = t1 * 2.0\nt4 = t2 * 3.0\nt5 = t0 + t3\nt6 = t5 + t4\nt7 = n2 / t6\nanswer = t7 * t0\nprint(answer)" - ], - "Output Answer": [ - "9000" - ], - "split": "train" - }, - { - "Input": "what is the cp of rs 100 stock at 7 discount , with 1 / 5 % brokerage ?", - "Output Program": [ - "n0 = 100.0\nn1 = 7.0\nn2 = 1.0\nn3 = 5.0\nt0 = n2 / n3\nt1 = n0 - n1\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "93.2" - ], - "split": "train" - }, - { - "Input": "the value of a machine depreciates at 22 % per annum . if its present value is $ 1 , 50,000 , at what price should it be sold after two years such that a profit of $ 24,000 is made ?", - "Output Program": [ - "import math\nn0 = 22.0\nn1 = 1.0\nn2 = 50000.0\nn3 = 24000.0\nt0 = n0 + 2.0\nt1 = n0 / 100.0\nt2 = 100.0 * 100.0\nt3 = math.sqrt(max(0, 100.0))\nt4 = t3 / 2.0\nt5 = t2 * t3\nt6 = t0 * 100.0\nt7 = n1 - t1\nt8 = t4 * 100.0\nt9 = t7 * t7\nt10 = t6 * t3\nt11 = t8 * 100.0\nt12 = t5 + t11\nt13 = t12 * t9\nanswer = t13 + t10\nprint(answer)" - ], - "Output Answer": [ - "115260.00000000001" - ], - "split": "train" - }, - { - "Input": "a sum was put at simple interest at a certain rate for 9 years had it been put at 5 % higher rate , it would have fetched 1350 more . find the sum .", - "Output Program": [ - "n0 = 9.0\nn1 = 5.0\nn2 = 1350.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "3000" - ], - "split": "train" - }, - { - "Input": "ashok and pyarelal invested money together in a business and share a capital of ashok is 1 / 9 of that of pyarelal . if the incur a loss of rs 900 then loss of pyarelal ?", - "Output Program": [ - "n0 = 1.0\nn1 = 9.0\nn2 = 900.0\nt0 = n0 + n1\nt1 = n1 * n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "810" - ], - "split": "train" - }, - { - "Input": "at what rate percent on simple interest will rs . 750 amount to rs . 975 in 5 years ?", - "Output Program": [ - "n0 = 750.0\nn1 = 975.0\nn2 = 5.0\nt0 = n1 - n0\nt1 = t0 / n0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "4 mat - weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 8 mat - weavers in 8 days ?", - "Output Program": [ - "n0 = 4.0\nn1 = 4.0\nn2 = 4.0\nn3 = 8.0\nn4 = 8.0\nt0 = n3 / n0\nt1 = n0 * t0\nanswer = t0 * t1\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "the profit obtained by selling an article for rs . 66 is the same as the loss obtained by selling it for rs . 22 . what is the cost price of the article ?", - "Output Program": [ - "n0 = 66.0\nn1 = 22.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "44" - ], - "split": "train" - }, - { - "Input": "if difference between compound interest and simple interest on a sum at 10 % p . a . for 2 years is rs . 65 then sum is", - "Output Program": [ - "n0 = 10.0\nn1 = 2.0\nn2 = 65.0\nt0 = n0 / 100.0\nt1 = t0 * t0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "6499.999999999999" - ], - "split": "train" - }, - { - "Input": "sue ' s trail mix is 30 % nuts and 70 % dried fruit . jane ' s trail mix is 60 % nuts and 40 % chocolate chips . if the combined mixture of sue and jane ' s trails mix contains 45 % nuts , what percent of the combined mixture is dried fruit ?", - "Output Program": [ - "n0 = 30.0\nn1 = 70.0\nn2 = 60.0\nn3 = 40.0\nn4 = 45.0\nt0 = 100.0 * 2.0\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "35" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 400 after successive discount is 20 % and 5 % is ?", - "Output Program": [ - "n0 = 400.0\nn1 = 20.0\nn2 = 5.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "304" - ], - "split": "train" - }, - { - "Input": "calculate how many seconds it eill take for 4 bells to toll together again , given that they begin to toll together respectively at the intervals of 5 , 8 , 11 and 15 seconds . ?", - "Output Program": [ - "n0 = 4.0\nn1 = 5.0\nn2 = 8.0\nn3 = 11.0\nn4 = 15.0\nt0 = n1 * n2\nt1 = n3 * t0\nanswer = t1 * 3.0\nprint(answer)" - ], - "Output Answer": [ - "1320" - ], - "split": "train" - }, - { - "Input": "reema took a loan of rs 800 with simple interest for as many years as the rate of interest . if she paid rs . 632 as interest at the end of the loan period , what was the rate of interest .", - "Output Program": [ - "import math\nn0 = 800.0\nn1 = 632.0\nt0 = n0 / 100.0\nt1 = n1 / t0\nanswer = math.sqrt(max(0, t1))\nprint(answer)" - ], - "Output Answer": [ - "8.888194417315589" - ], - "split": "train" - }, - { - "Input": "the population of a village is 7800 . it increases annually at the rate of 18 % p . a . what will be its population after 2 years ?", - "Output Program": [ - "n0 = 7800.0\nn1 = 18.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "10860.72" - ], - "split": "train" - }, - { - "Input": "the market value of a certain machine decreased by 20 percent of its purchase price each year . if the machine was purchased in 1982 for its market value of $ 8,000 , what was its market value two years later ?", - "Output Program": [ - "n0 = 20.0\nn1 = 1982.0\nn2 = 8000.0\nt0 = n0 / 100.0\nt1 = 10.0 * 100.0\nt2 = 2.0 * 4.0\nt3 = t1 * t2\nt4 = t0 * 2.0\nt5 = t3 * t4\nanswer = t3 - t5\nprint(answer)" - ], - "Output Answer": [ - "4800" - ], - "split": "train" - }, - { - "Input": "3 candidates in an election and received 5136 , 7636 and 11628 votes respectively . what % of the total votes did the winningcandidate got in that election ?", - "Output Program": [ - "n0 = 3.0\nn1 = 5136.0\nn2 = 7636.0\nn3 = 11628.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = n3 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "47.65573770491803" - ], - "split": "train" - }, - { - "Input": "a person borrows rs . 8000 for 2 years at 4 % p . a . simple interest . he immediately lends it to another person at 6 p . a for 2 years . find his gain in the transaction per year .", - "Output Program": [ - "n0 = 8000.0\nn1 = 2.0\nn2 = 4.0\nn3 = 6.0\nn4 = 2.0\nt0 = n0 * n3\nt1 = n0 * n2\nt2 = n1 * t0\nt3 = n1 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nt6 = t4 - t5\nanswer = t6 / n1\nprint(answer)" - ], - "Output Answer": [ - "160" - ], - "split": "train" - }, - { - "Input": "in town x , 64 percent of the population are employed , and 55 percent of the population are employed males . what percent of the employed people in town x are females ?", - "Output Program": [ - "n0 = 64.0\nn1 = 55.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "14.0625" - ], - "split": "train" - }, - { - "Input": "how long will a boy take to run round a square field of side 50 meters , if he runs at the rate of 12 km / hr ?", - "Output Program": [ - "n0 = 50.0\nn1 = 12.0\nt0 = 1000.0 / 3600.0\nt1 = n0 * 4.0\nt2 = n1 * t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "running at the same constant rate , 6 identical machines can produce a total of 270 bottles per minute . at this rate , how many bottles could 5 such machines produce in 4 minutes ?", - "Output Program": [ - "n0 = 6.0\nn1 = 270.0\nn2 = 5.0\nn3 = 4.0\nt0 = n1 / n0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "900" - ], - "split": "train" - }, - { - "Input": "the cost price of 30 articles is the same as the selling price of x articles . if the profit is 25 % , what is x ?", - "Output Program": [ - "n0 = 30.0\nn1 = 25.0\nt0 = 1.0 + 4.0\nt1 = n0 * 4.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "24" - ], - "split": "train" - }, - { - "Input": "a man can row his boat with the stream at 36 km / h and against the stream in 8 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 36.0\nn1 = 8.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "14" - ], - "split": "train" - }, - { - "Input": "i sold a book at a profit of 12 % . had i sold it for $ 18 more , 18 % would have been gained . find the cost price ?", - "Output Program": [ - "n0 = 12.0\nn1 = 18.0\nn2 = 18.0\nt0 = n0 * n1\nt1 = n2 - n0\nt2 = t0 / t1\nt3 = t2 * 100.0\nanswer = t3 / n0\nprint(answer)" - ], - "Output Answer": [ - "300" - ], - "split": "train" - }, - { - "Input": "if the price of an article went up by 25 % , then by what percent should it be brought down to bring it back to its original price ?", - "Output Program": [ - "n0 = 25.0\nt0 = n0 + 100.0\nt1 = n0 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "a retailer buys 40 pens at the market price of 36 pens from a wholesaler , if he sells these pens giving a discount of 1 % , what is the profit % ?", - "Output Program": [ - "n0 = 40.0\nn1 = 36.0\nn2 = 1.0\nt0 = n2 / 100.0\nt1 = n1 / n0\nt2 = n2 - t0\nt3 = t2 - t1\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "9.999999999999996" - ], - "split": "train" - }, - { - "Input": "if the true discount on a sum due 2 years hence at 14 % per annum be rs . 168 , the sum due is :", - "Output Program": [ - "n0 = 2.0\nn1 = 14.0\nn2 = 168.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nt2 = t0 / t1\nanswer = n2 + t2\nprint(answer)" - ], - "Output Answer": [ - "768" - ], - "split": "train" - }, - { - "Input": "an empty fuel tank with a capacity of 200 gallons was filled partially with fuel a and then to capacity with fuel b . fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume . if the full fuel tank contains 22 gallons of ethanol , how many gallons of fuel a were added ?", - "Output Program": [ - "n0 = 200.0\nn1 = 12.0\nn2 = 16.0\nn3 = 22.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 * t0\nt3 = t0 - t1\nt4 = t2 - n3\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "249.99999999999994" - ], - "split": "train" - }, - { - "Input": "if 5 % more is gained by selling an article for rs . 420 than by selling it for rs . 380 , the cost of the article is ?", - "Output Program": [ - "n0 = 5.0\nn1 = 420.0\nn2 = 380.0\nt0 = n0 / 100.0\nt1 = n1 - n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "train" - }, - { - "Input": "a cycle is bought for rs . 900 and sold for rs . 1440 , find the gain percent ?", - "Output Program": [ - "n0 = 900.0\nn1 = 1440.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "a , b and c invested rs . 6300 , rs . 4200 and rs . 10500 respectively , in a partnership business . find the share of a in profit of rs . 13000 after a year ?", - "Output Program": [ - "n0 = 6300.0\nn1 = 4200.0\nn2 = 10500.0\nn3 = 13000.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n0 / t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "3900" - ], - "split": "train" - }, - { - "Input": "70 percent of the members of a study group are women , and 40 percent of those women are lawyers . if one member of the study group is to be selected at random , what is the probability that the member selected is a woman lawyer ?", - "Output Program": [ - "n0 = 70.0\nn1 = 40.0\nt0 = 5.0 * 5.0\nt1 = t0 * 4.0\nt2 = n0 / t1\nt3 = n1 / t1\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "0.27999999999999997" - ], - "split": "train" - }, - { - "Input": "the cost price of a radio is rs . 1500 and it was sold for rs . 1260 , find the loss % ?", - "Output Program": [ - "n0 = 1500.0\nn1 = 1260.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "a , b and c started a business with capitals of rs . 8000 , rs . 10000 and rs . 12000 respectively . at the end of the year , the profit share of b is rs . 1900 . the difference between the profit shares of a and c is ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 10000.0\nn2 = 12000.0\nn3 = 1900.0\nt0 = n2 / n1\nt1 = n0 / n1\nt2 = t0 - t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "759.9999999999999" - ], - "split": "train" - }, - { - "Input": "a man buys a cycle for rs . 1400 and sells it at a loss of 18 % . what is the selling price of the cycle ?", - "Output Program": [ - "n0 = 1400.0\nn1 = 18.0\nt0 = 100.0 - n1\nt1 = n0 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1148" - ], - "split": "train" - }, - { - "Input": "solution x is 40 % chemical a and 60 % chemical b by volume . solution y is 50 % chemical a and 50 % chemical b by volume . if a mixture of x and y is 47 % chemical a , what percent of the mixture is solution x ?", - "Output Program": [ - "n0 = 40.0\nn1 = 60.0\nn2 = 50.0\nn3 = 50.0\nn4 = 47.0\nt0 = n2 - n4\nt1 = n4 - n0\nt2 = t0 / t1\nt3 = t2 + 1.0\nt4 = t2 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "a pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer \u2019 s suggested retail price . if during a sale , the store discounts an additional 20 percent from the discount price , what would be the lowest possible price of a container of pet food that had a manufacturer \u2019 s suggested retail price o f $ 30.00 ?", - "Output Program": [ - "n0 = 10.0\nn1 = 30.0\nn2 = 20.0\nn3 = 30.0\nt0 = 100.0 - n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = n3 * t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "16.8" - ], - "split": "train" - }, - { - "Input": "an alloy weighing 16 ounces is 50 % gold . how many ounces of pure gold must be added to create an alloy that is 80 % gold ?", - "Output Program": [ - "n0 = 16.0\nn1 = 50.0\nn2 = 80.0\nt0 = n2 - n1\nt1 = n0 * t0\nt2 = t1 / 12.0\nanswer = t2 - n0\nprint(answer)" - ], - "Output Answer": [ - "24" - ], - "split": "train" - }, - { - "Input": "in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 20 percent , but profits were 18 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?", - "Output Program": [ - "n0 = 2008.0\nn1 = 10.0\nn2 = 2009.0\nn3 = 20.0\nn4 = 18.0\nn5 = 2009.0\nn6 = 2008.0\nt0 = n3 / 100.0\nt1 = 1.0 - t0\nt2 = n4 * t1\nt3 = t2 / n1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "144" - ], - "split": "train" - }, - { - "Input": "a grocer has 400 pounds of coffee in stock , 40 percent of which is decaffeinated . if the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated , what percent , by weight , of the grocer \u2019 s stock of coffee is decaffeinated ?", - "Output Program": [ - "n0 = 400.0\nn1 = 40.0\nn2 = 100.0\nn3 = 60.0\nt0 = n0 + n2\nt1 = n1 / n2\nt2 = n3 / n2\nt3 = n0 * t1\nt4 = n2 * t2\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * n2\nprint(answer)" - ], - "Output Answer": [ - "44" - ], - "split": "train" - }, - { - "Input": "in a certain candy store , 22 % of the customers are caught sampling the candy and are charged a small fine , but 20 % of the customers who sample the candy are not caught . what is the total percent of all customers who sample candy ?", - "Output Program": [ - "n0 = 22.0\nn1 = 20.0\nt0 = 100.0 - n1\nt1 = t0 / 100.0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "27.5" - ], - "split": "train" - }, - { - "Input": "a reduction of 15 % in the price of oil enables a house wife to obtain 4 kgs more for rs . 1200 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 15.0\nn1 = 4.0\nn2 = 1200.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "45" - ], - "split": "train" - }, - { - "Input": "each month , after jill pays for rent , utilities , food , and other necessary expenses , she has one fifth of her net monthly salary left as discretionary income . of this discretionary income , she puts 30 % into a vacation fund , 20 % into savings , and spends 35 % on eating out and socializing . this leaves her with $ 111 dollar , which she typically uses for gifts and charitable causes . what is jill \u2019 s net monthly salary ?", - "Output Program": [ - "n0 = 30.0\nn1 = 20.0\nn2 = 35.0\nn3 = 111.0\nt0 = n0 + n1\nt1 = 2.0 + 3.0\nt2 = n2 + t0\nt3 = t1 * 100.0\nt4 = 100.0 - t2\nt5 = n3 / t4\nanswer = t5 * t3\nprint(answer)" - ], - "Output Answer": [ - "3700" - ], - "split": "train" - }, - { - "Input": "a retailer buys a radio for rs 225 . his overhead expenses are rs 28 . he sellis the radio for rs 300 . the profit percent of the retailer is", - "Output Program": [ - "n0 = 225.0\nn1 = 28.0\nn2 = 300.0\nt0 = n0 + n1\nt1 = n2 / t0\nt2 = t1 * 100.0\nanswer = t2 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "18.577075098814234" - ], - "split": "train" - }, - { - "Input": "if 45 % of z is 96 % of y and y is 75 % of x , what percent of x is z ?", - "Output Program": [ - "n0 = 45.0\nn1 = 96.0\nn2 = 75.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t1 / t2\nt4 = t0 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "160" - ], - "split": "train" - }, - { - "Input": "at a particular graduation party with 300 guests , 70 % of the guests brought gifts , and 40 % of the female guests brought gifts . if 45 males did not bring gifts to the party , how many females did bring gifts ?", - "Output Program": [ - "n0 = 300.0\nn1 = 70.0\nn2 = 40.0\nn3 = 45.0\nt0 = n0 * n1\nt1 = 100.0 - n2\nt2 = t0 / 100.0\nt3 = n0 - t2\nt4 = t3 - n3\nt5 = t4 * 100.0\nt6 = t5 / t1\nt7 = n2 * t6\nanswer = t7 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "the market value of a certain machine decreased by 15 percent of its purchase price each year . if the machine was purchased in 1982 for its market value of $ 8,000 , what was its market value two years later ?", - "Output Program": [ - "n0 = 15.0\nn1 = 1982.0\nn2 = 8000.0\nt0 = n0 / 100.0\nt1 = 10.0 * 100.0\nt2 = 2.0 * 4.0\nt3 = t1 * t2\nt4 = t0 * 2.0\nt5 = t3 * t4\nanswer = t3 - t5\nprint(answer)" - ], - "Output Answer": [ - "5600" - ], - "split": "train" - }, - { - "Input": "in a certain pond , 30 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?", - "Output Program": [ - "n0 = 30.0\nn1 = 50.0\nn2 = 2.0\nt0 = n2 / n1\nanswer = n0 / t0\nprint(answer)" - ], - "Output Answer": [ - "750" - ], - "split": "train" - }, - { - "Input": "ashok and pyarelal invested money together in a business and share a capital of ashok is 1 / 9 of that of pyarelal . if the incur a loss of rs 1600 then loss of pyarelal ?", - "Output Program": [ - "n0 = 1.0\nn1 = 9.0\nn2 = 1600.0\nt0 = n0 + n1\nt1 = n1 * n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "1440" - ], - "split": "train" - }, - { - "Input": "jerry went to a shop and bought things worth rs . 30 , out of which 30 % went on sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ?", - "Output Program": [ - "n0 = 30.0\nn1 = 30.0\nn2 = 6.0\nt0 = n1 / 100.0\nt1 = 100.0 / n2\nt2 = t0 * t1\nt3 = t0 + t2\nanswer = n0 - t3\nprint(answer)" - ], - "Output Answer": [ - "24.7" - ], - "split": "train" - }, - { - "Input": "fresh grapes contain 90 % by weight while dried grapes contain 20 % water by weight . what is the weight of dry grapes available from 30 kg of fresh grapes ?", - "Output Program": [ - "n0 = 90.0\nn1 = 20.0\nn2 = 30.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = n2 * t0\nt3 = t2 / 100.0\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "3.75" - ], - "split": "train" - }, - { - "Input": "after decreasing 24 % in the price of an article costs rs . 608 . find the actual cost of an article ?", - "Output Program": [ - "n0 = 24.0\nn1 = 608.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "train" - }, - { - "Input": "if the cost price of 50 articles is equal to the selling price of 30 articles , then the gain or loss percent is ?", - "Output Program": [ - "n0 = 50.0\nn1 = 30.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = 100.0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "66.66666666666666" - ], - "split": "train" - }, - { - "Input": "how long will a boy take to run round a square field of side 45 meters , if he runs at the rate of 9 km / hr ?", - "Output Program": [ - "n0 = 45.0\nn1 = 9.0\nt0 = 1000.0 / 3600.0\nt1 = n0 * 4.0\nt2 = n1 * t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "72" - ], - "split": "train" - }, - { - "Input": "a grocer has 400 pounds of coffee in stock , 20 percent of which is decaffeinated . if the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated , what percent , by weight , of the grocer \u2019 s stock of coffee is decaffeinated ?", - "Output Program": [ - "n0 = 400.0\nn1 = 20.0\nn2 = 100.0\nn3 = 60.0\nt0 = n0 + n2\nt1 = n1 / n2\nt2 = n3 / n2\nt3 = n0 * t1\nt4 = n2 * t2\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * n2\nprint(answer)" - ], - "Output Answer": [ - "28.000000000000004" - ], - "split": "train" - }, - { - "Input": "at what rate percent per annum will a sum of money double in 8 years .", - "Output Program": [ - "n0 = 8.0\n\nanswer = 100.0 / n0\nprint(answer)" - ], - "Output Answer": [ - "12.5" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sells his goods at cost price but uses a weight of 800 gm instead of kilogram weight . what is his profit percentage ?", - "Output Program": [ - "n0 = 800.0\nt0 = 1.0 + 4.0\nt1 = t0 + t0\nt2 = t1 * 100.0\nt3 = t2 - n0\nt4 = t3 / n0\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "by selling 18 pencils for a rupee a man loses 10 % . how many for a rupee should he sell in order to gain 35 % ?", - "Output Program": [ - "n0 = 18.0\nn1 = 10.0\nn2 = 35.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = 1.0 / t1\nt3 = t0 * t2\nt4 = 1.0 / t3\nanswer = n0 * t4\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "train" - }, - { - "Input": "a man invests in a 16 % stock at 128 . the interest obtained by him is", - "Output Program": [ - "n0 = 16.0\nn1 = 128.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12.5" - ], - "split": "train" - }, - { - "Input": "how many pounds of salt at 80 cents / lb must be mixed with 40 lbs of salt that costs 35 cents / lb so that a merchant will get 20 % profit by selling the mixture at 48 cents / lb ?", - "Output Program": [ - "n0 = 80.0\nn1 = 40.0\nn2 = 35.0\nn3 = 20.0\nn4 = 48.0\nt0 = n3 + 100.0\nt1 = n1 * n4\nt2 = n1 * n2\nt3 = t0 / 100.0\nt4 = t3 * t2\nt5 = n0 * t3\nt6 = t1 - t4\nt7 = t5 - n4\nanswer = t6 / t7\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "bhanu spends 30 % of his income on petrol on scooter 20 % of the remaining on house rent and the balance on food . if he spends rs . 300 on petrol then what is the expenditure on house rent ?", - "Output Program": [ - "n0 = 30.0\nn1 = 20.0\nn2 = 300.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = n2 / t1\nt3 = t2 - n2\nanswer = t0 * t3\nprint(answer)" - ], - "Output Answer": [ - "140" - ], - "split": "train" - }, - { - "Input": "a sum fetched a total simple interest of rs . 750 at the rate of 6 p . c . p . a . in 5 years . what is the sum ?", - "Output Program": [ - "n0 = 750.0\nn1 = 6.0\nn2 = 5.0\nt0 = n0 * 100.0\nt1 = t0 / n1\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "2500" - ], - "split": "train" - }, - { - "Input": "an investment compounds annually at an interest rate of 34.1 % what is the smallest investment period by which time the investment will more than triple in value ?", - "Output Program": [ - "import math\nn0 = 34.1\nt0 = n0 / 100.0\nt1 = math.log(max(1e-5, 3.0), 2)\nt2 = t0 + 1.0\nt3 = math.log(max(1e-5, t2), 2)\nt4 = t1 / t3\nt5 = math.floor(t4)\nanswer = t5 + 1.0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "last year elaine spent 10 % of her annual earnings on rent . this year she earned 15 % more than last year and she spent 30 % of her annual earnings on rent . the amount she spent on rent this year is what percent of the amount spent on rent last year ?", - "Output Program": [ - "n0 = 10.0\nn1 = 15.0\nn2 = 30.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n2 * t1\nt3 = t2 / n0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "345" - ], - "split": "train" - }, - { - "Input": "the cost of an article was rs . 75 . the cost was first increased by 20 % and later on it was reduced by 20 % . the present cost of the article is :", - "Output Program": [ - "n0 = 75.0\nn1 = 20.0\nn2 = 20.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = 1.0 - t0\nt3 = n0 * t1\nanswer = t3 * t2\nprint(answer)" - ], - "Output Answer": [ - "72" - ], - "split": "train" - }, - { - "Input": "in how many years will a sum of money be doubled given that the annual interest on it is 10 % ?", - "Output Program": [ - "n0 = 10.0\n\nanswer = 100.0 / n0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "each of the integers from 0 to 9 , inclusive , is written on a separate slip of blank paper and the ten slips are dropped into a hat . if 4 of the slips are the drawn , without replacement , what is the probability that all 4 have a even number written on it ?", - "Output Program": [ - "n0 = 0.0\nn1 = 9.0\nn2 = 4.0\nn3 = 4.0\nt0 = 1.0 + 4.0\nt1 = n1 + 1.0\nt2 = t0 / t1\nt3 = t0 - 1.0\nt4 = t1 - 1.0\nt5 = t3 / t4\nt6 = t3 - 1.0\nt7 = t4 - 1.0\nt8 = t6 / t7\nt9 = t2 * t5\nt10 = t6 - 1.0\nt11 = t7 - 1.0\nt12 = t10 / t11\nt13 = t8 * t9\nanswer = t12 * t13\nprint(answer)" - ], - "Output Answer": [ - "0.023809523809523808" - ], - "split": "train" - }, - { - "Input": "harkamal purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 45 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 8.0\nn1 = 70.0\nn2 = 9.0\nn3 = 45.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "965" - ], - "split": "train" - }, - { - "Input": "a merchant marks his goods up by 40 % and then offers a discount of 15 % on the marked price . what % profit does the merchant make after the discount ?", - "Output Program": [ - "n0 = 40.0\nn1 = 15.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "19" - ], - "split": "train" - }, - { - "Input": "a candidate got 40 % of the votes polled and he lost to his rival by 5000 votes . how many votes were cast ?", - "Output Program": [ - "n0 = 40.0\nn1 = 5000.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "25000.000000000007" - ], - "split": "train" - }, - { - "Input": "a store \u2019 s selling price of $ 2240 for a certain computer would yield a profit of 30 percent of the store \u2019 s cost for the computer . what selling price would yield a profit of 40 percent of the computer \u2019 s cost ?", - "Output Program": [ - "n0 = 2240.0\nn1 = 30.0\nn2 = 40.0\nt0 = n2 + 100.0\nt1 = n1 + 100.0\nt2 = t0 / t1\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "2412.3076923076924" - ], - "split": "train" - }, - { - "Input": "running at the same rate , 8 identical machines can produce 560 paperclips a minute . at this rate , how many paperclips could 18 machines produce in 6 minutes ?", - "Output Program": [ - "n0 = 8.0\nn1 = 560.0\nn2 = 18.0\nn3 = 6.0\nt0 = n2 / n0\nt1 = n1 * t0\nanswer = n3 * t1\nprint(answer)" - ], - "Output Answer": [ - "7560" - ], - "split": "train" - }, - { - "Input": "a , b and c started a business with capitals of rs . 8000 , rs . 10000 and rs . 12000 respectively . at the end of the year , the profit share of b is rs . 1700 . the difference between the profit shares of a and c is ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 10000.0\nn2 = 12000.0\nn3 = 1700.0\nt0 = n2 / n1\nt1 = n0 / n1\nt2 = t0 - t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "679.9999999999999" - ], - "split": "train" - }, - { - "Input": "a reduction of 12 % in the price of oil enables a house wife to obtain 6 kgs more for rs . 1200 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 12.0\nn1 = 6.0\nn2 = 1200.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "24" - ], - "split": "train" - }, - { - "Input": "a , b and c started a partnership business by investing rs . 8000 , rs . 4000 , rs . 2000 respectively . at the end of the year , the profit were distributed among them . if c ' s share of profit is 36000 , what is the total profit ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 4000.0\nn2 = 2000.0\nn3 = 36000.0\nt0 = n0 / n2\nt1 = n1 / n2\nt2 = n3 * t0\nt3 = n3 * t1\nt4 = t2 + t3\nanswer = n3 + t4\nprint(answer)" - ], - "Output Answer": [ - "252000" - ], - "split": "train" - }, - { - "Input": "a , b and c started a business with capitals of rs . 8000 , rs . 10000 and rs . 12000 respectively . at the end of the year , the profit share of b is rs . 4000 . the difference between the profit shares of a and c is ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 10000.0\nn2 = 12000.0\nn3 = 4000.0\nt0 = n2 / n1\nt1 = n0 / n1\nt2 = t0 - t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "1599.9999999999995" - ], - "split": "train" - }, - { - "Input": "in an election between the two candidates , the candidates who gets 70 % of votes polled is winned by 320 vote \u2019 s majority . what is the total number of votes polled ?", - "Output Program": [ - "n0 = 70.0\nn1 = 320.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nt2 = n0 - t1\nanswer = t0 / t2\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "train" - }, - { - "Input": "if you spend 1 / 4 of your salary during the first week of the month and 20 % of it during each of the coming 3 weeks , what part ( fraction ) of your salary will leave unspent at the end of the month ?", - "Output Program": [ - "n0 = 1.0\nn1 = 4.0\nn2 = 20.0\nn3 = 3.0\nt0 = n0 / n1\nt1 = n2 / 100.0\nt2 = n3 * t1\nt3 = t0 + t2\nanswer = n0 - t3\nprint(answer)" - ], - "Output Answer": [ - "0.1499999999999999" - ], - "split": "train" - }, - { - "Input": "manoj borrowed rs . 3900 from anwar at 6 % p . a . simple interest for 3 years . he then added some more money to the borrowed sum and lent it to ramu for the same time at 9 % p . a . simple interest . if manoj gains rs . 824.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction , then what is the sum lent by him to ramu ?", - "Output Program": [ - "n0 = 3900.0\nn1 = 6.0\nn2 = 3.0\nn3 = 9.0\nn4 = 824.85\nt0 = n3 / 100.0\nt1 = n1 / 100.0\nt2 = t0 * 3.0\nt3 = t1 * 3.0\nt4 = n0 * t2\nt5 = n0 * t3\nt6 = t4 - t5\nt7 = n4 - t6\nt8 = t7 / t2\nanswer = n0 + t8\nprint(answer)" - ], - "Output Answer": [ - "5655" - ], - "split": "train" - }, - { - "Input": "if albert \u2019 s monthly earnings rise by 20 % , he would earn $ 560 . if , instead , his earnings rise by only 21 % , how much ( in $ ) would he earn this month ?", - "Output Program": [ - "n0 = 20.0\nn1 = 560.0\nn2 = 21.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = n1 / t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "564.6666666666666" - ], - "split": "train" - }, - { - "Input": "a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store , at the end of one month the number of total items sold increases 30 % . their gross income from sales for one month increases by what percent ?", - "Output Program": [ - "n0 = 10.0\nn1 = 30.0\nt0 = n1 / n0\nt1 = n1 - n0\nanswer = t1 - t0\nprint(answer)" - ], - "Output Answer": [ - "17" - ], - "split": "train" - }, - { - "Input": "a football team lost 5 yards and then gained 9 . what is the team ' s progress ?", - "Output Program": [ - "n0 = 5.0\nn1 = 9.0\n\nanswer = n1 - n0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "the population of a village is 6000 . it decreases annually at the rate of 10 % p . a . what will be its population after 2 years ?", - "Output Program": [ - "n0 = 6000.0\nn1 = 10.0\nn2 = 2.0\nt0 = 100.0 - n1\nt1 = t0 / 100.0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "4860" - ], - "split": "train" - }, - { - "Input": "an inspector rejects 15 % of the meters as defective . how many will he examine to reject 10 ?", - "Output Program": [ - "n0 = 15.0\nn1 = 10.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "66.66666666666667" - ], - "split": "train" - }, - { - "Input": "there are 600 employees in a room . 99 % are managers . how many managers must leave the room to bring down the percentage of managers to 98 % ?", - "Output Program": [ - "n0 = 600.0\nn1 = 99.0\nn2 = 98.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n0 * t0\nt3 = n0 * t1\nt4 = 1.0 - t1\nt5 = t2 - t3\nanswer = t5 / t4\nprint(answer)" - ], - "Output Answer": [ - "299.9999999999997" - ], - "split": "train" - }, - { - "Input": "a cylinder of height h is 5 / 6 of water . when all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder , the new cylinder is 3 / 5 full . the height of the new cylinder is what percent of h ?", - "Output Program": [ - "n0 = 5.0\nn1 = 6.0\nn2 = 25.0\nn3 = 3.0\nn4 = 5.0\nt0 = n3 / n4\nt1 = n0 / n1\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "72" - ], - "split": "train" - }, - { - "Input": "a dishonest dealer professes to sell goods at the cost price but uses a weight of 852 grams per kg , what is his percent ?", - "Output Program": [ - "n0 = 852.0\nt0 = 2.0 + 3.0\nt1 = 100.0 / n0\nt2 = t0 * 2.0\nt3 = t2 * 100.0\nt4 = t1 * t3\nanswer = t4 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "17.370892018779344" - ], - "split": "train" - }, - { - "Input": "the difference between compound interest and simple interest on a certain amount of money at 5 % per annum for 2 years is 15 . find the sum :", - "Output Program": [ - "n0 = 5.0\nn1 = 2.0\nn2 = 15.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = n1 * t0\nt3 = t2 + 1.0\nt4 = t1**min(n1, 5)\nt5 = t4 - t3\nanswer = n2 / t5\nprint(answer)" - ], - "Output Answer": [ - "6000.000000000128" - ], - "split": "train" - }, - { - "Input": "10 is subtracted from 50 % of a number , the result is 25 . find the number ?", - "Output Program": [ - "n0 = 10.0\nn1 = 50.0\nn2 = 25.0\nt0 = n0 + n2\nt1 = n1 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "70" - ], - "split": "train" - }, - { - "Input": "a polling company surveyed a certain country , and it found that 35 % of that country \u2019 s registered voters had an unfavorable impression of both of that state \u2019 s major political parties and that 20 % had a favorable impression only of party w . if one registered voter has a favorable impression of both parties for every two registered voters who have a favorable impression only of party b , then what percentage of the country \u2019 s registered voters have a favorable impression of both parties ( assuming that respondents to the poll were given a choice between favorable and unfavorable impressions only ) ?", - "Output Program": [ - "n0 = 35.0\nn1 = 20.0\nt0 = n0 + n1\nt1 = 100.0 - t0\nanswer = t1 / 3.0\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "90 is increased by 50 % . find the final number .", - "Output Program": [ - "n0 = 90.0\nn1 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "135" - ], - "split": "train" - }, - { - "Input": "a trader marked the selling price of an article at 12 % above the cost price . at the time of selling , he allows certain discount and suffers a loss of 1 % . he allowed a discount of :", - "Output Program": [ - "n0 = 12.0\nn1 = 1.0\nt0 = 2.0 + 3.0\nt1 = n0 + 100.0\nt2 = t0 * 2.0\nt3 = t2 + n1\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "9.821428571428571" - ], - "split": "train" - }, - { - "Input": "what is the compound interest paid on a sum of rs . 700 for the period of 2 years at 10 % per annum .", - "Output Program": [ - "n0 = 700.0\nn1 = 2.0\nn2 = 10.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nt3 = n0 * t2\nanswer = t3 - n0\nprint(answer)" - ], - "Output Answer": [ - "147.0000000000001" - ], - "split": "train" - }, - { - "Input": "fresh grapes contain 65 % by weight while dried grapes contain 10 % water by weight . what is the weight of dry grapes available from 400 kg of fresh grapes ?", - "Output Program": [ - "n0 = 65.0\nn1 = 10.0\nn2 = 400.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = n2 * t0\nt3 = t2 / 100.0\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "155.55555555555557" - ], - "split": "train" - }, - { - "Input": "if the cost price of 50 articles is equal to the selling price of 15 articles , then the gain or loss percent is ?", - "Output Program": [ - "n0 = 50.0\nn1 = 15.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = 100.0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "233.33333333333334" - ], - "split": "train" - }, - { - "Input": "a shopkeeper bought 600 oranges and 400 bananas . he found 15 % of oranges and 6 % of bananas were rotten . find the percentage of fruits in good condition ?", - "Output Program": [ - "n0 = 600.0\nn1 = 400.0\nn2 = 15.0\nn3 = 6.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = n0 * t1\nt4 = n1 * t2\nt5 = t3 + t4\nt6 = t0 - t5\nt7 = t6 / t0\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "88.6" - ], - "split": "train" - }, - { - "Input": "the weight of a glass of jar is 10 % of the weight of the jar filled with coffee beans . after some of the beans have been removed , the weight of the jar and the remaining beans is 60 % of the original total weight . what fraction part of the beans remain in the jar ?", - "Output Program": [ - "n0 = 10.0\nn1 = 60.0\nt0 = n1 - n0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.5555555555555556" - ], - "split": "train" - }, - { - "Input": "33 1 / 3 % of 210 ?", - "Output Program": [ - "n0 = 33.0\nn1 = 1.0\nn2 = 3.0\nn3 = 210.0\nt0 = n1 / n2\nt1 = n0 + t0\nt2 = n3 * t1\nanswer = t2 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "70.00000000000001" - ], - "split": "train" - }, - { - "Input": "on a certain transatlantic crossing , 20 percent of a ship ' s passengers held round - trip tickets and also took their cars abroad the ship . if 40 percent of the passengers with round - trip tickets did not take their cars abroad the ship , what percent of the ship ' s passengers held round - trip tickets ?", - "Output Program": [ - "n0 = 20.0\nn1 = 40.0\nt0 = 100.0 - n1\nt1 = t0 / 100.0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "33.333333333333336" - ], - "split": "train" - }, - { - "Input": "an error 6 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is", - "Output Program": [ - "n0 = 6.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "12.36" - ], - "split": "train" - }, - { - "Input": "how long will a boy take to run round a square field of side 60 meters , if he runs at the rate of 12 km / hr ?", - "Output Program": [ - "n0 = 60.0\nn1 = 12.0\nt0 = 1000.0 / 3600.0\nt1 = n0 * 4.0\nt2 = n1 * t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "72" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article offering a discount of 5 % and earned a profit of 20.65 % . what would have been the percentage of profit earned if no discount was offered ?", - "Output Program": [ - "n0 = 5.0\nn1 = 20.65\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * 100.0\nt3 = t2 / t1\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "27" - ], - "split": "train" - }, - { - "Input": "if a lends rs . 3500 to b at 10 % per annum and b lends the same sum to c at 11 % per annum then the gain of b in a period of 3 years is ?", - "Output Program": [ - "n0 = 3500.0\nn1 = 10.0\nn2 = 11.0\nn3 = 3.0\nt0 = n0 * n2\nt1 = n0 * n1\nt2 = t0 * n3\nt3 = n3 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nanswer = t4 - t5\nprint(answer)" - ], - "Output Answer": [ - "105" - ], - "split": "train" - }, - { - "Input": "what sum of money will produce rs . 70 as simple interest in 4 years at 3 1 / 2 percent ?", - "Output Program": [ - "n0 = 70.0\nn1 = 4.0\nn2 = 3.0\nn3 = 1.0\nn4 = 2.0\nt0 = n3 / n4\nt1 = n2 + t0\nt2 = n1 * t1\nt3 = t2 / 100.0\nanswer = n0 / t3\nprint(answer)" - ], - "Output Answer": [ - "499.99999999999994" - ], - "split": "train" - }, - { - "Input": "of the land owned by a farmer , 90 percent was cleared for planting . of the cleared land , 60 percent was planted with grapes and 30 percent of the cleared land was planted with potato . if the remaining 360 acres of cleared land was planted with tomato , how many acres did the farmer own ?", - "Output Program": [ - "n0 = 90.0\nn1 = 60.0\nn2 = 30.0\nn3 = 360.0\nt0 = n0 / 100.0\nt1 = 100.0 - n1\nt2 = t1 - n2\nt3 = t2 / 100.0\nt4 = t3 * t0\nanswer = n3 / t4\nprint(answer)" - ], - "Output Answer": [ - "3999.9999999999995" - ], - "split": "train" - }, - { - "Input": "the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 10 . if p invested the money for 8 months , find for how much time did q invest the money ?", - "Output Program": [ - "n0 = 7.0\nn1 = 5.0\nn2 = 7.0\nn3 = 10.0\nn4 = 8.0\nt0 = n0 / n1\nt1 = n3 / n2\nt2 = t0 * t1\nanswer = n4 * t2\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "a sum fetched a total simple interest of rs . 4016.25 at the rate of 1 % p . a . in 5 years . what is the sum ?", - "Output Program": [ - "n0 = 4016.25\nn1 = 1.0\nn2 = 5.0\nt0 = n0 * 100.0\nt1 = t0 / n1\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "80325" - ], - "split": "train" - }, - { - "Input": "0.01 is what percent of 0.1 ?", - "Output Program": [ - "n0 = 0.01\nn1 = 0.1\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "if a trader sold two cars each at rs . 325475 and gains 11 % on the first and loses 11 % on the second , then his profit or loss percent on the whole is ?", - "Output Program": [ - "n0 = 325475.0\nn1 = 11.0\nn2 = 11.0\nt0 = n1 * n1\nanswer = t0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1.21" - ], - "split": "train" - }, - { - "Input": "alex takes a loan of $ 9,000 to buy a used truck at the rate of 9 % simple interest . calculate the annual interest to be paid for the loan amount .", - "Output Program": [ - "import math\nn0 = 9000.0\nn1 = 9.0\nt0 = n1 * 100.0\nt1 = math.sqrt(max(0, 100.0))\nt2 = t0 * t1\nt3 = n1 * t2\nanswer = t3 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "810" - ], - "split": "train" - }, - { - "Input": "last month , john rejected 0.7 % of the products that he inspected and jane rejected 0.8 percent of the products that she inspected . if total of 0.75 percent of the products produced last month were rejected , what fraction of the products did jane inspect ?", - "Output Program": [ - "n0 = 0.7\nn1 = 0.8\nn2 = 0.75\nt0 = n2 - n0\nt1 = n1 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.5" - ], - "split": "train" - }, - { - "Input": "one fourth of one third of two fifth of a number is 20 . what will be 40 % of that number", - "Output Program": [ - "n0 = 20.0\nn1 = 40.0\nt0 = 2.0 + 3.0\nt1 = 1.0 / 4.0\nt2 = 1.0 / 3.0\nt3 = 2.0 / t0\nt4 = t1 * t2\nt5 = t3 * t4\nt6 = n0 / t5\nt7 = n1 * t6\nanswer = t7 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "240" - ], - "split": "train" - }, - { - "Input": "if 45 % of z is 39 % of y and y is 75 % of x , what percent of x is z ?", - "Output Program": [ - "n0 = 45.0\nn1 = 39.0\nn2 = 75.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t1 / t2\nt4 = t0 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "65" - ], - "split": "train" - }, - { - "Input": "at what price must an article costing rs . 47.50 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 40 % on the cost price ?", - "Output Program": [ - "n0 = 47.5\nn1 = 5.0\nn2 = 40.0\nt0 = n0 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 + t2\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "70" - ], - "split": "train" - }, - { - "Input": "in an office in singapore there are 60 % female employees . 50 % of all the male employees are computer literate . if there are total 62 % employees computer literate out of total 1500 employees , then the no . of female employees who are computer literate ?", - "Output Program": [ - "n0 = 60.0\nn1 = 50.0\nn2 = 62.0\nn3 = 1500.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 / 100.0\nt3 = 1.0 - t2\nt4 = t1 * t3\nt5 = t0 - t4\nanswer = n3 * t5\nprint(answer)" - ], - "Output Answer": [ - "630" - ], - "split": "train" - }, - { - "Input": "a vendor sells 60 percent of apples he had and throws away 15 percent of the remainder . next day he sells 50 percent of the remainder and throws away the rest . what percent of his apples does the vendor throw ?", - "Output Program": [ - "n0 = 60.0\nn1 = 15.0\nn2 = 50.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = 100.0 - n0\nt3 = t0 * t2\nt4 = t2 - t3\nt5 = t1 * t4\nanswer = t3 + t5\nprint(answer)" - ], - "Output Answer": [ - "23" - ], - "split": "train" - }, - { - "Input": "at what rate percent per annum will the simple interest on a sum of money be 1 / 5 of the amount in 10 years ?", - "Output Program": [ - "n0 = 1.0\nn1 = 5.0\nn2 = 10.0\nt0 = n0 / n1\nt1 = t0 * 100.0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "2" - ], - "split": "train" - }, - { - "Input": "a merchant marks his goods up by 20 % and then offers a discount of 5 % on the marked price . what % profit does the merchant make after the discount ?", - "Output Program": [ - "n0 = 20.0\nn1 = 5.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "14" - ], - "split": "train" - }, - { - "Input": "a fruit seller sells mangoes at the rate of rs . 16 per kg and thereby loses 12 % . at what price per kg , he should have sold them to make a profit of 20 % ?", - "Output Program": [ - "n0 = 16.0\nn1 = 12.0\nn2 = 20.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = n0 * t0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "21.818181818181817" - ], - "split": "train" - }, - { - "Input": "two years ago , ram put $ 1000 into a savings account . at the end of the first year , his account had accrued $ 100 in interest bringing his total balance to $ 1100 . the next year , his account balance increased by 20 % . at the end of the two years , by what percent has sam ' s account balance increased from his initial deposit of $ 1000 ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 100.0\nn2 = 1100.0\nn3 = 20.0\nn4 = 1000.0\nt0 = n3 / 100.0\nt1 = t0 + 1.0\nt2 = n2 * t1\nt3 = t2 - n0\nt4 = t3 / n0\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "32" - ], - "split": "train" - }, - { - "Input": "an empty fuel tank with a capacity of 200 gallons was filled partially with fuel a and then to capacity with fuel b . fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume . if the full fuel tank contains 30 gallons of ethanol , how many gallons of fuel a were added ?", - "Output Program": [ - "n0 = 200.0\nn1 = 12.0\nn2 = 16.0\nn3 = 30.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 * t0\nt3 = t0 - t1\nt4 = t2 - n3\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "49.99999999999999" - ], - "split": "train" - }, - { - "Input": "what quantity of water should taken out to concentrate 24 liters of 40 % acidic liquid to 60 % acidic liquid ?", - "Output Program": [ - "n0 = 24.0\nn1 = 40.0\nn2 = 60.0\nt0 = n0 * n1\nt1 = t0 / n2\nanswer = n0 - t1\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "last year a certain bond price with a face value of 5000 yielded 5 % of its face value in interest . if that interest was approx 6.5 of the bond ' s selling price approx what was the bond ' s selling price ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 5.0\nn2 = 6.5\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n0 * t0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "3846.153846153846" - ], - "split": "train" - }, - { - "Input": "a man can row his boat with the stream at 8 km / h and against the stream in 4 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 8.0\nn1 = 4.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "2" - ], - "split": "train" - }, - { - "Input": "one fourth of one third of two fifth of a number is 30 . what will be 40 % of that number", - "Output Program": [ - "n0 = 30.0\nn1 = 40.0\nt0 = 2.0 + 3.0\nt1 = 1.0 / 4.0\nt2 = 1.0 / 3.0\nt3 = 2.0 / t0\nt4 = t1 * t2\nt5 = t3 * t4\nt6 = n0 / t5\nt7 = n1 * t6\nanswer = t7 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "360" - ], - "split": "train" - }, - { - "Input": "5 percent of 255 =", - "Output Program": [ - "n0 = 5.0\nn1 = 255.0\nt0 = n0 * n1\nanswer = t0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "12.75" - ], - "split": "train" - }, - { - "Input": "at what rate percent on simple interest will rs . 415 amount to rs . 514 in 4 years ?", - "Output Program": [ - "n0 = 415.0\nn1 = 514.0\nn2 = 4.0\nt0 = n1 - n0\nt1 = t0 / n0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "5.963855421686747" - ], - "split": "train" - }, - { - "Input": "75 is what percent of 125 ?", - "Output Program": [ - "n0 = 75.0\nn1 = 125.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "how much more would rs . 50000 fetch , after two years , if it is put at 20 % p . a . compound interest payable half yearly than if is put at 20 % p . a . compound interest payable yearly ?", - "Output Program": [ - "n0 = 50000.0\nn1 = 20.0\nn2 = 20.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t0 / 2.0\nt3 = t2 + 1.0\nt4 = t1**min(2.0, 5)\nt5 = n0 * t4\nt6 = t3**min(4.0, 5)\nt7 = n0 * t6\nanswer = t7 - t5\nprint(answer)" - ], - "Output Answer": [ - "1205.0000000000146" - ], - "split": "train" - }, - { - "Input": "a fellow borrowed a certain sum of money at 5 % per annum at simple interest and in 5 years the interest amounted to rs . 750 less than the sum lent . what was the sum lent ?", - "Output Program": [ - "n0 = 5.0\nn1 = 5.0\nn2 = 750.0\nt0 = n0 * n0\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "train" - }, - { - "Input": "a solution contains 8 parts of water for every 7 parts of lemonade syrup . how many parts of the solution should be removed and replaced with water so that the solution will now contain 20 % lemonade syrup ?", - "Output Program": [ - "n0 = 8.0\nn1 = 7.0\nn2 = 20.0\nt0 = n0 + n1\nt1 = 2.0 + 3.0\nt2 = n1 / t0\nt3 = 2.0 / t1\nt4 = t2 - t3\nt5 = t4 / t2\nanswer = t0 * t5\nprint(answer)" - ], - "Output Answer": [ - "2.1428571428571423" - ], - "split": "train" - }, - { - "Input": "3 candidates in an election and received 3000 , 5000 and 20000 votes respectively . what % of the total votes did the winningcandidate got in that election ?", - "Output Program": [ - "n0 = 3.0\nn1 = 3000.0\nn2 = 5000.0\nn3 = 20000.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = n3 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "71.42857142857143" - ], - "split": "train" - }, - { - "Input": "10 % of a number is more than 20 % of 650 by 190 . find the number ?", - "Output Program": [ - "n0 = 10.0\nn1 = 20.0\nn2 = 650.0\nn3 = 190.0\nt0 = n1 * n2\nt1 = t0 / 100.0\nt2 = n3 + t1\nt3 = t2 * 100.0\nanswer = t3 / n0\nprint(answer)" - ], - "Output Answer": [ - "3200" - ], - "split": "train" - }, - { - "Input": "an air - conditioning unit costs $ 470 . on december there was a discount for christmas of 16 % . 6 months later , the holiday season was over so the company raised the price of the air - conditioning by 12 % . how much will an air - conditioning unit cost in november ?", - "Output Program": [ - "n0 = 470.0\nn1 = 16.0\nn2 = 6.0\nn3 = 12.0\nt0 = n3 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = n0 * t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "442.17600000000004" - ], - "split": "train" - }, - { - "Input": "a dealer offers a cash discount of 10 % and still makes a profit of 35 % when he further allows 20 articles to be sold at the cost price of 15 articles to a particular sticky bargainer . how much percent above the cost price were his articles listed ?", - "Output Program": [ - "n0 = 10.0\nn1 = 35.0\nn2 = 20.0\nn3 = 15.0\nt0 = n1 + 100.0\nt1 = n2 - n3\nt2 = 100.0 - n0\nt3 = t0 / 100.0\nt4 = t1 / n2\nt5 = t2 / 100.0\nt6 = 1.0 - t4\nt7 = t3 / t6\nt8 = t7 / t5\nt9 = t8 - 1.0\nanswer = t9 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 20 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 9 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discounts rates is 22 percent , what is the discount rate on pony jeans ?", - "Output Program": [ - "n0 = 15.0\nn1 = 20.0\nn2 = 9.0\nn3 = 5.0\nn4 = 3.0\nn5 = 2.0\nn6 = 22.0\nt0 = n6 / 100.0\nt1 = n1 * n5\nt2 = n0 * n4\nt3 = t0 * t1\nt4 = t2 - t1\nt5 = n2 - t3\nt6 = t5 / t4\nt7 = t0 - t6\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "18.000000000000014" - ], - "split": "train" - }, - { - "Input": "john and ingrid pay 30 % and 40 % tax annually , respectively . if john makes $ 56000 and ingrid makes $ 74000 , what is their combined tax rate ?", - "Output Program": [ - "n0 = 30.0\nn1 = 40.0\nn2 = 56000.0\nn3 = 74000.0\nt0 = n2 + n3\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = n2 * t1\nt4 = n3 * t2\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "35.69230769230769" - ], - "split": "train" - }, - { - "Input": "in a restaurant , the profit is 140 % of the cost . if the cost increases by 12 % but the selling price remains constant , approximately what percentage of the selling price is the profit ?", - "Output Program": [ - "n0 = 140.0\nn1 = 12.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t1 + 1.0\nt3 = t0 * 100.0\nt4 = t3 + 100.0\nt5 = t2 * 100.0\nt6 = t4 - t5\nt7 = t6 / t4\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "53.333333333333336" - ], - "split": "train" - }, - { - "Input": "from the salary of rahul , 20 % is deducted as house rent , 10 % of the rest he spends on children \u2019 s education and 10 % of the balance , he spends on clothes . after this expenditure he is left with rs 1377 . his salary is ?", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nn2 = 10.0\nn3 = 1377.0\nt0 = n3 * 100.0\nt1 = 100.0 - n0\nt2 = n1 * t1\nt3 = t2 / 100.0\nt4 = t1 - t3\nt5 = n1 * t4\nt6 = t5 / 100.0\nt7 = t4 - t6\nanswer = t0 / t7\nprint(answer)" - ], - "Output Answer": [ - "2125" - ], - "split": "train" - }, - { - "Input": "a sum fetched total simple interest of 4016.25 at the rate of 10 p . c . p . a . in 5 years . what is the sum ?", - "Output Program": [ - "n0 = 4016.25\nn1 = 10.0\nn2 = 5.0\nt0 = n0 * 100.0\nt1 = n1 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "8032.5" - ], - "split": "train" - }, - { - "Input": "a lent rs . 4000 to b for 2 years and rs . 2000 to c for 4 years on simple interest at the same rate of interest and received rs . 2200 in all from both of them as interest . the rate of interest per annum is :", - "Output Program": [ - "n0 = 4000.0\nn1 = 2.0\nn2 = 2000.0\nn3 = 4.0\nn4 = 2200.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 + t1\nt3 = n4 / t2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "13.750000000000002" - ], - "split": "train" - }, - { - "Input": "a man can row his boat with the stream at 6 km / h and against the stream in 2 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 6.0\nn1 = 2.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "2" - ], - "split": "train" - }, - { - "Input": "a , b and c invested rs . 6300 , rs . 4200 and rs . 10500 respectively , in a partnership business . find the share of a in profit of rs . 12700 after a year ?", - "Output Program": [ - "n0 = 6300.0\nn1 = 4200.0\nn2 = 10500.0\nn3 = 12700.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n0 / t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "3810" - ], - "split": "train" - }, - { - "Input": "an escalator moves towards the top level at the rate of 12 ft . sec and its length is 150 feet . if a person walks on the moving escalator at the rate of 3 feet per second towards the top level , how much time does he take to cover the entire length .", - "Output Program": [ - "n0 = 12.0\nn1 = 150.0\nn2 = 3.0\nt0 = n0 + n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "the compound and the simple interests on a certain sum at the same rate of interest for two years are rs . 11730 and rs . 10200 respectively . find the sum ?", - "Output Program": [ - "n0 = 11730.0\nn1 = 10200.0\nt0 = n1 / 2.0\nt1 = n1 * 100.0\nt2 = n0 - n1\nt3 = t2 * 100.0\nt4 = t3 / t0\nt5 = t4 * 2.0\nanswer = t1 / t5\nprint(answer)" - ], - "Output Answer": [ - "17000" - ], - "split": "train" - }, - { - "Input": "a sum of $ 500 amounts to 600 in 2 years at simple interest . if the interest rate is increased by 10 % it would amount to how much ?", - "Output Program": [ - "n0 = 500.0\nn1 = 600.0\nn2 = 2.0\nn3 = 10.0\nt0 = n2 * n3\nt1 = t0 / 100.0\nt2 = n0 * t1\nanswer = n1 + t2\nprint(answer)" - ], - "Output Answer": [ - "700" - ], - "split": "train" - }, - { - "Input": "amanda sees a sale for 30 % off all items , she sees a dress on sale that originally cost $ 50 . how much will it cost amanda to buy the dress after the sale amount of 30 % has been take off ?", - "Output Program": [ - "n0 = 30.0\nn1 = 50.0\nn2 = 30.0\nt0 = n0 / 100.0\nt1 = n1 * t0\nanswer = n1 - t1\nprint(answer)" - ], - "Output Answer": [ - "35" - ], - "split": "train" - }, - { - "Input": "a cricket bat is sold for $ 900 , making a profit of $ 150 . the profit percentage would be", - "Output Program": [ - "n0 = 900.0\nn1 = 150.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "raja spends 60 % of his monthly income on household items , 10 % of his monthly income on buying cloths , 10 % of his monthly income on medicines and saves the remaining amount which is rs . 5000 . find his monthly income .", - "Output Program": [ - "n0 = 60.0\nn1 = 10.0\nn2 = 10.0\nn3 = 5000.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = n2 / 100.0\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = 1.0 - t4\nanswer = n3 / t5\nprint(answer)" - ], - "Output Answer": [ - "24999.999999999993" - ], - "split": "train" - }, - { - "Input": "a team won 40 percent of its first 30 games in a particular season , and 80 percent of its remaining games . if the team won a total of 50 percent of its games that season , what was the total number of games that the team played ?", - "Output Program": [ - "n0 = 40.0\nn1 = 30.0\nn2 = 80.0\nn3 = 50.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = n1 * t0\nt4 = t1 - t2\nanswer = t3 / t4\nprint(answer)" - ], - "Output Answer": [ - "39.99999999999999" - ], - "split": "train" - }, - { - "Input": "the value of a machine depreciates at 21 % per annum . if its present value is $ 1 , 50,000 , at what price should it be sold after two years such that a profit of $ 24,000 is made ?", - "Output Program": [ - "import math\nn0 = 21.0\nn1 = 1.0\nn2 = 50000.0\nn3 = 24000.0\nt0 = n0 + 2.0\nt1 = n0 / 100.0\nt2 = 100.0 * 100.0\nt3 = math.sqrt(max(0, 100.0))\nt4 = t3 / 2.0\nt5 = t2 * t3\nt6 = t0 * 100.0\nt7 = n1 - t1\nt8 = t4 * 100.0\nt9 = t7 * t7\nt10 = t6 * t3\nt11 = t8 * 100.0\nt12 = t5 + t11\nt13 = t12 * t9\nanswer = t13 + t10\nprint(answer)" - ], - "Output Answer": [ - "116615.00000000001" - ], - "split": "train" - }, - { - "Input": "what is the cp of rs 100 stock at 9 discount , with 1 / 5 % brokerage ?", - "Output Program": [ - "n0 = 100.0\nn1 = 9.0\nn2 = 1.0\nn3 = 5.0\nt0 = n2 / n3\nt1 = n0 - n1\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "91.2" - ], - "split": "train" - }, - { - "Input": "difference of two numbers is 1650 . if 7.5 % of the number is 12.5 % of the other number , find the number ?", - "Output Program": [ - "n0 = 1650.0\nn1 = 7.5\nn2 = 12.5\nt0 = n1 / n2\nt1 = 1.0 - t0\nt2 = n0 / t1\nanswer = t0 * t2\nprint(answer)" - ], - "Output Answer": [ - "2475" - ], - "split": "train" - }, - { - "Input": "an inspector rejects 0.07 % of the meters as defective . how many will he examine to reject 2 ?", - "Output Program": [ - "n0 = 0.07\nn1 = 2.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "2857.142857142857" - ], - "split": "train" - }, - { - "Input": "add 10 % of 30 and 15 % of 50 .", - "Output Program": [ - "n0 = 10.0\nn1 = 30.0\nn2 = 15.0\nn3 = 50.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nanswer = t2 + t3\nprint(answer)" - ], - "Output Answer": [ - "10.5" - ], - "split": "train" - }, - { - "Input": "a retailer sold 2 houses at each $ 10000 . on 1 st house he got 30 % profit and on 2 nd house he loss 10 % then find his net profit or loss ?", - "Output Program": [ - "n0 = 2.0\nn1 = 10000.0\nn2 = 1.0\nn3 = 30.0\nn4 = 2.0\nn5 = 10.0\nt0 = n5 / 100.0\nt1 = 1.0 - t0\nt2 = t1 * 2.0\nt3 = t2 - t0\nanswer = n5 * t3\nprint(answer)" - ], - "Output Answer": [ - "17" - ], - "split": "train" - }, - { - "Input": "today joelle opened an interest - bearing savings account and deposited $ 6000 . if the annual interest rate is 5 percent compounded interest , and she neither deposits nor withdraws money for exactly 2 years , how much money will she have in the account ?", - "Output Program": [ - "n0 = 6000.0\nn1 = 5.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "6615" - ], - "split": "train" - }, - { - "Input": "working together at their respective constant rates , machine a and machine b can produce 1,600 units in 8 hours . working alone , machine b would complete that same output in 50 % more time . if machine a were to work on its own for an 8 - hour shift , what percent of the 1,600 unit total would it produce ?", - "Output Program": [ - "n0 = 1600.0\nn1 = 8.0\nn2 = 50.0\nn3 = 8.0\nn4 = 1600.0\nt0 = 4.0 * 4.0\nt1 = n1 * n2\nt2 = t1 / 100.0\nt3 = t0 * 100.0\nt4 = n1 + t2\nt5 = t3 / n1\nt6 = t3 / t4\nt7 = t5 - t6\nt8 = n1 * t7\nt9 = t8 / t3\nanswer = t9 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "train" - }, - { - "Input": "at what price must an article costing rs . 75 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 25 % on the cost price ?", - "Output Program": [ - "n0 = 75.0\nn1 = 5.0\nn2 = 25.0\nt0 = n0 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 + t2\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "98.6842105263158" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 600 after successive discount is 20 % and 5 % is ?", - "Output Program": [ - "n0 = 600.0\nn1 = 20.0\nn2 = 5.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "456" - ], - "split": "train" - }, - { - "Input": "a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 700 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 25.0\nn1 = 5.0\nn2 = 700.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "35" - ], - "split": "train" - }, - { - "Input": "the market value of a 10.5 % stock , in which an income of rs . 756 is derived by investing rs . 9000 , brokerage being 1 / 4 % , is :", - "Output Program": [ - "n0 = 10.5\nn1 = 756.0\nn2 = 9000.0\nn3 = 1.0\nn4 = 4.0\nt0 = n2 / n1\nt1 = n3 / n4\nt2 = n0 * t0\nanswer = t2 - t1\nprint(answer)" - ], - "Output Answer": [ - "124.75" - ], - "split": "train" - }, - { - "Input": "the difference between the compound interest and simple interest on a certain sum at 10 % per annum for 2 years is $ 631 . find the sum ?", - "Output Program": [ - "n0 = 10.0\nn1 = 2.0\nn2 = 631.0\nt0 = 100.0 * 100.0\nt1 = n2 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "63100" - ], - "split": "train" - }, - { - "Input": "the profit earned by selling an article for 812 is equal to the loss incurred when the same article is sold for 448 . what should be the sale price of the article for making 50 per cent profit ?", - "Output Program": [ - "n0 = 812.0\nn1 = 448.0\nn2 = 50.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = t1 + 1.0\nt3 = t0 / 2.0\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "945" - ], - "split": "train" - }, - { - "Input": "if w is 40 percent less than e , e is 40 percent less than y , and z is 46 percent less than y , then z is greater than w by what percent of w ?", - "Output Program": [ - "n0 = 40.0\nn1 = 40.0\nn2 = 46.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t3 * t3\nt5 = t2 / t4\nt6 = t5 - 1.0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50.00000000000002" - ], - "split": "train" - }, - { - "Input": "if 10 litres of an oil of rs . 50 per litres be mixed with 5 litres of another oil of rs . 67 per litre then what is the rate of mixed oil per litre ?", - "Output Program": [ - "n0 = 10.0\nn1 = 50.0\nn2 = 5.0\nn3 = 67.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n3\nt3 = t1 + t2\nanswer = t3 / t0\nprint(answer)" - ], - "Output Answer": [ - "55.666666666666664" - ], - "split": "train" - }, - { - "Input": "if x is invested in a bank at a rate of simple interest of y % p . a . for two years , then the interest earned is 300 . if x is invested at y % p . a . , for two years when the interest is compounded annually , the interest is 307.50 . what is the value of x ?", - "Output Program": [ - "n0 = 300.0\nn1 = 307.5\nt0 = n0 / 2.0\nt1 = n1 - n0\nt2 = t0**min(2.0, 5)\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "3000" - ], - "split": "train" - }, - { - "Input": "a dress on sale in a shop is marked at $ d . during the discount sale its price is reduced by 25 % . staff are allowed a further 20 % reduction on the discounted price . if a staff member buys the dress what will she have to pay in terms of d ?", - "Output Program": [ - "n0 = 25.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = 100.0 - n0\nt2 = t1 / 100.0\nt3 = t2 * t0\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "0.6" - ], - "split": "train" - }, - { - "Input": "what is the normal price of an article sold at $ 108 after two successive discounts of 10 % and 20 % ?", - "Output Program": [ - "n0 = 108.0\nn1 = 10.0\nn2 = 20.0\nt0 = 100.0 - n1\nt1 = 100.0 - n2\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 * t3\nanswer = n0 / t4\nprint(answer)" - ], - "Output Answer": [ - "149.99999999999997" - ], - "split": "train" - }, - { - "Input": "a trader sells 40 metres of cloth for rs . 8200 at a profit of rs . 55 per metre of cloth . how much profit will the trder earn on 40 metres of cloth ?", - "Output Program": [ - "n0 = 40.0\nn1 = 8200.0\nn2 = 55.0\nn3 = 40.0\n\nanswer = n0 * n2\nprint(answer)" - ], - "Output Answer": [ - "2200" - ], - "split": "train" - }, - { - "Input": "two pipes a and b fill at a certain rate . b is filled at 1020 , 4080 ( 10 in 1 hour , 20 in 2 hours , 40 in 3 hrs and so on ) . if 1 / 16 of b is filled in 17 hrs , what time it will take to get completely filled ?", - "Output Program": [ - "import math\nn0 = 1020.0\nn1 = 4080.0\nn2 = 10.0\nn3 = 1.0\nn4 = 20.0\nn5 = 2.0\nn6 = 40.0\nn7 = 3.0\nn8 = 1.0\nn9 = 16.0\nn10 = 17.0\nt0 = math.log(max(1e-5, n9), 2)\nanswer = n10 + t0\nprint(answer)" - ], - "Output Answer": [ - "21" - ], - "split": "train" - }, - { - "Input": "a car is purchased on hire - purchase . the cash price is $ 26 000 and the terms are a deposit of 10 % of the price , then the balance to be paid off over 60 equal monthly installments . interest is charged at 12 % p . a . what is the monthly installment ?", - "Output Program": [ - "n0 = 26.0\nn1 = 0.0\nn2 = 10.0\nn3 = 60.0\nn4 = 12.0\nt0 = n2 / 100.0\nt1 = n4 / 100.0\nt2 = n0 * 1000.0\nt3 = t1 / n4\nt4 = 1.0 - t0\nt5 = t2 * t4\nt6 = t5 / n3\nt7 = t3 * t5\nanswer = t6 + t7\nprint(answer)" - ], - "Output Answer": [ - "624" - ], - "split": "train" - }, - { - "Input": "at what rate percent on simple interest will rs . 750 amount to rs . 950 in 5 years ?", - "Output Program": [ - "n0 = 750.0\nn1 = 950.0\nn2 = 5.0\nt0 = n1 - n0\nt1 = t0 / n0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "5.333333333333333" - ], - "split": "train" - }, - { - "Input": "from the sale of sleeping bags , a retailer made a gross profit of 15 % of the wholesale cost . if each sleeping bag was sold for $ 28 , what was the wholesale cost per bag ?", - "Output Program": [ - "n0 = 15.0\nn1 = 28.0\nt0 = n0 + 100.0\nt1 = n1 * 100.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "24.347826086956523" - ], - "split": "train" - }, - { - "Input": "the difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4 % per annum is re . 1 . the sum ( in rs . ) is ?", - "Output Program": [ - "n0 = 2.0\nn1 = 4.0\nn2 = 1.0\nt0 = n1 / 100.0\nt1 = t0**min(n0, 5)\nt2 = n2 * t1\nanswer = 1 / t2\nprint(answer)" - ], - "Output Answer": [ - "625" - ], - "split": "train" - }, - { - "Input": "if 20 % of 30 is greater than 25 % of a number by 2 , the number is :", - "Output Program": [ - "n0 = 20.0\nn1 = 30.0\nn2 = 25.0\nn3 = 2.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 * t0\nt3 = t2 - n3\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "a , band c enter into partnership . a invests 3 times as much as b and b invests two - third of what c invests . at the end of the year , the profit earned is rs . 6600 . what is the share of b ?", - "Output Program": [ - "n0 = 3.0\nn1 = 6600.0\nt0 = 2.0 / n0\nt1 = 2.0 * n0\nt2 = t0 * n0\nt3 = t1 + t2\nt4 = t3 + n0\nt5 = 2.0 / t4\nanswer = n1 * t5\nprint(answer)" - ], - "Output Answer": [ - "1200" - ], - "split": "train" - }, - { - "Input": "a reduction of 40 % in the price of apples would enable a man to obtain 64 more for rs . 40 , what is reduced price per dozen ?", - "Output Program": [ - "n0 = 40.0\nn1 = 64.0\nn2 = 40.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nt2 = t1 / n1\nanswer = t2 * 12.0\nprint(answer)" - ], - "Output Answer": [ - "3" - ], - "split": "train" - }, - { - "Input": "in a certain company , a third of the workers do not have a retirement plan . 20 % of the workers who do not have a retirement plan are women , and 50 % of the workers who do have a retirement plan are men . if 120 of the workers of that company are men , how many of the workers are women ?", - "Output Program": [ - "n0 = 20.0\nn1 = 50.0\nn2 = 120.0\nt0 = 1.0 / 3.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 * t1\nt4 = 1.0 - t0\nt5 = t2 * t4\nt6 = t0 - t3\nt7 = t5 + t6\nt8 = t4 - t5\nt9 = t3 + t8\nt10 = n2 / t7\nanswer = t9 * t10\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "there were two candidates in an election . winner candidate received 70 % of votes and won the election by 280 votes . find the number of votes casted to the winning candidate ?", - "Output Program": [ - "n0 = 70.0\nn1 = 280.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nt3 = n1 / t2\nt4 = n0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "490" - ], - "split": "train" - }, - { - "Input": "suresh started a business , investing rs . 18000 . after 3 months and 4 months respectively , rohan and sudhir joined him with capitals of 12000 and 9000 . at the end of the year the total profit was rs . 3850 . what is the difference between rohan \u2019 s and sudhir \u2019 s share in the profit ?", - "Output Program": [ - "n0 = 18000.0\nn1 = 3.0\nn2 = 4.0\nn3 = 12000.0\nn4 = 9000.0\nn5 = 3850.0\nt0 = 3.0 * 4.0\nt1 = t0 - n1\nt2 = t0 - n2\nt3 = t1 / t0\nt4 = t2 / t0\nt5 = n3 * t3\nt6 = n4 * t4\nt7 = n0 + t5\nt8 = t5 - t6\nt9 = t7 + t6\nt10 = n5 / t9\nanswer = t10 * t8\nprint(answer)" - ], - "Output Answer": [ - "350" - ], - "split": "train" - }, - { - "Input": "in a certain city , 60 percent of the registered voters are democrats and the rest are republicans . in a mayoral race , if 75 percent of the registered voters who are democrats and 20 percent of the registered voters who are republicans are expected to vote for candidate a , what percent of the registered voters are expected to vote for candidate a ?", - "Output Program": [ - "n0 = 60.0\nn1 = 75.0\nn2 = 20.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = 100.0 - n0\nt3 = n0 * t0\nt4 = t1 * t2\nanswer = t3 + t4\nprint(answer)" - ], - "Output Answer": [ - "53" - ], - "split": "train" - }, - { - "Input": "from january 1 , 1991 , to january 1 , 1993 , the number of people enrolled in health maintenance organizations increased by 15 percent . the enrollment on january 1 , 1993 , was 60 million . how many million people , to the nearest million , were enrolled in health maintenance organizations on january 1 , 1991 ?", - "Output Program": [ - "n0 = 1.0\nn1 = 1991.0\nn2 = 1.0\nn3 = 1993.0\nn4 = 15.0\nn5 = 1.0\nn6 = 1993.0\nn7 = 60.0\nn8 = 1.0\nn9 = 1991.0\nt0 = n4 + 100.0\nt1 = 100.0 / t0\nanswer = n7 * t1\nprint(answer)" - ], - "Output Answer": [ - "52.17391304347826" - ], - "split": "train" - }, - { - "Input": "a reduction of 30 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 800 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 30.0\nn1 = 5.0\nn2 = 800.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "48" - ], - "split": "train" - }, - { - "Input": "if the personal income tax rate is lowered from 42 % to 28 % , what is the differential savings for a tax payer having an annual income before tax to the tune of $ 34500 ?", - "Output Program": [ - "n0 = 42.0\nn1 = 28.0\nn2 = 34500.0\nt0 = n2 / 100.0\nt1 = n0 - n1\nanswer = t0 * t1\nprint(answer)" - ], - "Output Answer": [ - "4830" - ], - "split": "train" - }, - { - "Input": "a team won 40 percent of its first 30 games in a particular season , and 80 percent of its remaining games . if the team won a total of 70 percent of its games that season , what was the total number of games that the team played ?", - "Output Program": [ - "n0 = 40.0\nn1 = 30.0\nn2 = 80.0\nn3 = 70.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = n1 * t0\nt4 = t1 - t2\nanswer = t3 / t4\nprint(answer)" - ], - "Output Answer": [ - "119.9999999999999" - ], - "split": "train" - }, - { - "Input": "find the annual income derived by investing $ 6800 in 10 % stock at 136 .", - "Output Program": [ - "n0 = 6800.0\nn1 = 10.0\nn2 = 136.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "train" - }, - { - "Input": "john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price . if the final price was $ 15 , what was the price before the first discount ?", - "Output Program": [ - "n0 = 25.0\nn1 = 25.0\nn2 = 15.0\nt0 = 100.0 * 100.0\nt1 = 100.0 - n0\nt2 = n2 * t0\nt3 = t1 * 100.0\nt4 = n0 * t1\nt5 = t3 - t4\nanswer = t2 / t5\nprint(answer)" - ], - "Output Answer": [ - "26.666666666666668" - ], - "split": "train" - }, - { - "Input": "from the sale of sleeping bags , a retailer made a gross profit of 17 % of the wholesale cost . if each sleeping bag was sold for $ 28 , what was the wholesale cost per bag ?", - "Output Program": [ - "n0 = 17.0\nn1 = 28.0\nt0 = n0 + 100.0\nt1 = n1 * 100.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "23.931623931623932" - ], - "split": "train" - }, - { - "Input": "in a particular state , 70 % of the counties received some rain on monday , and 55 % of the counties received some rain on tuesday . no rain fell either day in 35 % of the counties in the state . what percent of the counties received some rain on monday and tuesday ?", - "Output Program": [ - "n0 = 70.0\nn1 = 55.0\nn2 = 35.0\nt0 = n0 + n1\nt1 = 100.0 - n2\nanswer = t0 - t1\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "the present worth of a certain bill due sometime hence is rs . 400 and the true discount is rs . 20 . what is the banker ' s discount ?", - "Output Program": [ - "n0 = 400.0\nn1 = 20.0\nt0 = n1**min(2.0, 5)\nt1 = t0 / n0\nanswer = n1 + t1\nprint(answer)" - ], - "Output Answer": [ - "21" - ], - "split": "train" - }, - { - "Input": "the true discount on a bill of rs . 2660 is rs . 360 . what is the banker ' s discount ?", - "Output Program": [ - "n0 = 2660.0\nn1 = 360.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "416.34782608695656" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sells his goods at cost price but uses a faulty meter that weighs 800 grams . find the profit percent .", - "Output Program": [ - "n0 = 800.0\nt0 = 1.0 + 4.0\nt1 = t0 + t0\nt2 = t1 * 100.0\nt3 = t2 - n0\nt4 = t3 / n0\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "what percent is 120 of 80 ?", - "Output Program": [ - "n0 = 120.0\nn1 = 80.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "90 students represent x percent of the boys at jones elementary school . if the boys at jones elementary make up 20 % of the total school population of x students , what is x ?", - "Output Program": [ - "import math\nn0 = 90.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = n0 * 100.0\nt2 = t1 / t0\nanswer = math.sqrt(max(0, t2))\nprint(answer)" - ], - "Output Answer": [ - "212.13203435596427" - ], - "split": "train" - }, - { - "Input": "a sells a bicycle to b and makes a profit of 20 % . b sells the same bicycle to c at a profit of 25 % . if the final s . p . of the bicycle was rs . 225 , find out the cost price of the bicycle for a .", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nn2 = 225.0\nt0 = n1 + 100.0\nt1 = n0 + 100.0\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = n2 / t2\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "a fruit seller had some apples . he sells 40 % apples and still has 420 apples . originally , he had :", - "Output Program": [ - "n0 = 40.0\nn1 = 420.0\n\nanswer = n1 * 100 / (100 + 1e-5 - n0) # original price before loss\nprint(answer)" - ], - "Output Answer": [ - "699.9998833333527" - ], - "split": "train" - }, - { - "Input": "the cost price of a radio is rs . 1500 and it was sold for rs . 1110 , find the loss % ?", - "Output Program": [ - "n0 = 1500.0\nn1 = 1110.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "26" - ], - "split": "train" - }, - { - "Input": "a restaurant spends one quarter of its monthly budget for rent and quarter of the rest for food and beverages . what percentage of the budget does the restaurant spend for food and beverages ?", - "Output Program": [ - "t0 = 1.0 / 4.0\nt1 = 1.0 - t0\nt2 = t0 * t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "18.75" - ], - "split": "train" - }, - { - "Input": "find the compound interest on rs . 16,000 at 20 % per annum for 9 months , compounded quarterly", - "Output Program": [ - "import math\nn0 = 16000.0\nn1 = 20.0\nn2 = 9.0\nt0 = n1 / 4.0\nt1 = 4.0 * 4.0\nt2 = math.sqrt(max(0, 100.0))\nt3 = t0 / 100.0\nt4 = t1 * 100.0\nt5 = t3 + 1.0\nt6 = t4 * t2\nt7 = t5**min(3.0, 5)\nt8 = t6 * t7\nanswer = t8 - t6\nprint(answer)" - ], - "Output Answer": [ - "2522.0000000000036" - ], - "split": "train" - }, - { - "Input": "i bought two books ; for rs . 480 . i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price . find the cost of the book sold at a loss ?", - "Output Program": [ - "n0 = 480.0\nn1 = 15.0\nn2 = 19.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = t0 + t1\nt3 = n0 * t0\nanswer = t3 / t2\nprint(answer)" - ], - "Output Answer": [ - "280" - ], - "split": "train" - }, - { - "Input": "the cost of one photocopy is $ 0.02 . however , a 25 % discount is offered on orders of more than 100 photocopies . if steve and dennison have to make 80 copies each , how much will each of them save if they submit a single order of 160 copies ?", - "Output Program": [ - "n0 = 0.02\nn1 = 25.0\nn2 = 100.0\nn3 = 80.0\nn4 = 160.0\nt0 = n0 * n3\nt1 = n2 - n1\nt2 = t1 / n2\nt3 = t0 * 2.0\nt4 = n4 * t2\nt5 = n0 * t4\nt6 = t3 - t5\nanswer = t6 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "0.40000000000000013" - ], - "split": "train" - }, - { - "Input": "the ratio of the cost price and selling price is 2 : 3 . the profit percent is ?", - "Output Program": [ - "n0 = 2.0\nn1 = 3.0\nt0 = n1 / n0\nt1 = t0 - 1.0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a 21 % stock yielding 10 % is quoted at :", - "Output Program": [ - "n0 = 21.0\nn1 = 10.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "210" - ], - "split": "train" - }, - { - "Input": "a sum of money amounts to rs . 9800 after 5 years and rs . 12005 after 8 years at the same rate of simple interest . the rate of interest per annum is", - "Output Program": [ - "n0 = 9800.0\nn1 = 5.0\nn2 = 12005.0\nn3 = 8.0\nt0 = n0 * n3\nt1 = n1 * n2\nt2 = n2 - n0\nt3 = t0 - t1\nt4 = t2 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "train" - }, - { - "Input": "a invested some money in 8 % stock at 96 . if b wants to invest in an equally good 10 % stock , he must purchase a stock worth of :", - "Output Program": [ - "n0 = 8.0\nn1 = 96.0\nn2 = 10.0\nt0 = n1 / n0\nanswer = n2 * t0\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "90 percent of the members of a study group are women , and 60 percent of those women are lawyers . if one member of the study group is to be selected at random , what is the probability that the member selected is a woman lawyer ?", - "Output Program": [ - "n0 = 90.0\nn1 = 60.0\nt0 = 5.0 * 5.0\nt1 = t0 * 4.0\nt2 = n0 / t1\nt3 = n1 / t1\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "0.54" - ], - "split": "train" - }, - { - "Input": "the amount of principal rs . 8000 at compound interest at the ratio of 5 % p . a . for 5 years is", - "Output Program": [ - "n0 = 8000.0\nn1 = 5.0\nn2 = 5.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "10210.252500000002" - ], - "split": "train" - }, - { - "Input": "in one hour , a boat goes 11 km along the stream and 5 km against the stream . the sped of the boat in still water ( in km / hr ) is :", - "Output Program": [ - "n0 = 11.0\nn1 = 5.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "one fourth of one third of two fifth of a number is 15 . what will be the 40 % of that number is ?", - "Output Program": [ - "n0 = 15.0\nn1 = 40.0\nt0 = 2.0 + 3.0\nt1 = 1.0 / 4.0\nt2 = 1.0 / 3.0\nt3 = 2.0 / t0\nt4 = t1 * t2\nt5 = t3 * t4\nt6 = n0 / t5\nt7 = n1 * t6\nanswer = t7 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "180" - ], - "split": "train" - }, - { - "Input": "if price of t . v set is reduced by 22 % , then its sale increases by 86 % , find net effect on sale value", - "Output Program": [ - "n0 = 22.0\nn1 = 86.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t1 / 100.0\nt3 = t0 / 100.0\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "45.08000000000001" - ], - "split": "train" - }, - { - "Input": "each month , after jill pays for rent , utilities , food , and other necessary expenses , she has one fifth of her net monthly salary left as discretionary income . of this discretionary income , she puts 30 % into a vacation fund , 20 % into savings , and spends 35 % on eating out and socializing . this leaves her with $ 99 dollar , which she typically uses for gifts and charitable causes . what is jill \u2019 s net monthly salary ?", - "Output Program": [ - "n0 = 30.0\nn1 = 20.0\nn2 = 35.0\nn3 = 99.0\nt0 = n0 + n1\nt1 = 2.0 + 3.0\nt2 = n2 + t0\nt3 = t1 * 100.0\nt4 = 100.0 - t2\nt5 = n3 / t4\nanswer = t5 * t3\nprint(answer)" - ], - "Output Answer": [ - "3300" - ], - "split": "train" - }, - { - "Input": "3 seventh of a number is 12 more than 40 % of that number . what will be the 30 % of that number ?", - "Output Program": [ - "n0 = 3.0\nn1 = 12.0\nn2 = 40.0\nn3 = 30.0\nt0 = 3.0 + 4.0\nt1 = n3 / 100.0\nt2 = n2 / 100.0\nt3 = n0 / t0\nt4 = t3 - t2\nt5 = n1 / t4\nt6 = t1 * t5\nanswer = t6 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "63.0000000000001" - ], - "split": "train" - }, - { - "Input": "how much 70 % of 100 is greater than 60 % of 80 ?", - "Output Program": [ - "n0 = 70.0\nn1 = 100.0\nn2 = 60.0\nn3 = 80.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "22" - ], - "split": "train" - }, - { - "Input": "an uneducated retailer marks all his goods at 60 % above the cost price and thinking that he will still make 25 % profit , offers a discount of 25 % on the marked price . what is his actual profit on the sales ?", - "Output Program": [ - "n0 = 60.0\nn1 = 25.0\nn2 = 25.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t2 * t1\nt4 = t2 - t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20.000000000000018" - ], - "split": "train" - }, - { - "Input": "rs 80000 is divided into two parts one part is given to a person with 10 % interest and another part is given to a person with 20 % interest . at the end of first year he gets profit 9000 find money given by 10 % ?", - "Output Program": [ - "n0 = 80000.0\nn1 = 10.0\nn2 = 20.0\nn3 = 9000.0\nn4 = 10.0\nt0 = n1 / 100.0\nt1 = n0 * n2\nt2 = t1 / 100.0\nt3 = t2 - n3\nanswer = t3 / t0\nprint(answer)" - ], - "Output Answer": [ - "70000" - ], - "split": "train" - }, - { - "Input": "a fruit seller sells mangoes at the rate of rs . 9 per kg and thereby loses 20 % . at what price per kg , he should have sold them to make a profit of 5 %", - "Output Program": [ - "n0 = 9.0\nn1 = 20.0\nn2 = 5.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = n0 * t0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "11.8125" - ], - "split": "train" - }, - { - "Input": "a sum was put at simple interest at certain rate for 3 years . had it been put at 1 % higher rate it would have fetched rs . 72 more . the sum is : a . rs . 2,400 b . rs . 2,100 c . rs . 2,200 d . rs . 2,480", - "Output Program": [ - "n0 = 3.0\nn1 = 1.0\nn2 = 72.0\nn3 = 2400.0\nn4 = 2100.0\nn5 = 2200.0\nn6 = 2480.0\nt0 = n2 / n0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2400" - ], - "split": "train" - }, - { - "Input": "what sum of money will produce rs . 90 as simple interest in 4 years at 4 1 / 2 percent ?", - "Output Program": [ - "n0 = 90.0\nn1 = 4.0\nn2 = 4.0\nn3 = 1.0\nn4 = 2.0\nt0 = n3 / n4\nt1 = n2 + t0\nt2 = n1 * t1\nt3 = t2 / 100.0\nanswer = n0 / t3\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "train" - }, - { - "Input": "a sum was put at simple interest at a certain rate for 4 years had it been put at 2 % higher rate , it would have fetched 56 more . find the sum .", - "Output Program": [ - "n0 = 4.0\nn1 = 2.0\nn2 = 56.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "700" - ], - "split": "train" - }, - { - "Input": "a , b and c started a partnership business by investing rs . 30000 , rs . 45000 , rs . 50000 respectively . at the end of the year , the profit were distributed among them . if c ' s share of profit is 36000 , what is the total profit ?", - "Output Program": [ - "n0 = 30000.0\nn1 = 45000.0\nn2 = 50000.0\nn3 = 36000.0\nt0 = n0 / n2\nt1 = n1 / n2\nt2 = n3 * t0\nt3 = n3 * t1\nt4 = t2 + t3\nanswer = n3 + t4\nprint(answer)" - ], - "Output Answer": [ - "90000" - ], - "split": "train" - }, - { - "Input": "on a sum of money , the s . i . for 2 years is $ 600 , while the c . i . is $ 609 , the rate of interest being the same in both the cases . the rate of interest is ?", - "Output Program": [ - "n0 = 2.0\nn1 = 600.0\nn2 = 609.0\nt0 = n1 / n0\nt1 = n2 - n1\nt2 = t1 * 100.0\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "3" - ], - "split": "train" - }, - { - "Input": "one - third of 1206 is what percent of 134 ?", - "Output Program": [ - "n0 = 1206.0\nn1 = 134.0\nt0 = n0 / 3.0\nt1 = t0 / n1\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "300" - ], - "split": "train" - }, - { - "Input": "boy sells a book for rs . 810 he gets a loss of 10 % , to gain 10 % , what should be the sp ?", - "Output Program": [ - "n0 = 810.0\nn1 = 10.0\nn2 = 10.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = 1.0 - t0\nt3 = n0 / t2\nt4 = t3 * t1\nanswer = t3 + t4\nprint(answer)" - ], - "Output Answer": [ - "990" - ], - "split": "train" - }, - { - "Input": "p and q invested in a business . the profit earned was divided in the ratio 4 : 5 . if p invested rs 52000 , the amount invested by q is", - "Output Program": [ - "n0 = 4.0\nn1 = 5.0\nn2 = 52000.0\nt0 = n2 / n0\nanswer = n1 * t0\nprint(answer)" - ], - "Output Answer": [ - "65000" - ], - "split": "train" - }, - { - "Input": "rajesh spends 40 % of his monthly salary on food , 20 % of the medicines and saves 60 % of the remaining amount . if his monthly salary is rs . 15000 , how much money does he save every month ?", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nn2 = 60.0\nn3 = 15000.0\nt0 = n2 / 100.0\nt1 = 100.0 - n1\nt2 = 100.0 - n0\nt3 = t1 / 100.0\nt4 = t2 / 100.0\nt5 = t0 * t4\nt6 = t3 * t5\nanswer = n3 * t6\nprint(answer)" - ], - "Output Answer": [ - "4320" - ], - "split": "train" - }, - { - "Input": "if price of t . v set is reduced by 18 % , then its sale increases by 72 % , find net effect on sale value", - "Output Program": [ - "n0 = 18.0\nn1 = 72.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t1 / 100.0\nt3 = t0 / 100.0\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "41.039999999999985" - ], - "split": "train" - }, - { - "Input": "how many litres of pure acid are there in 5 litres of a 30 % solution", - "Output Program": [ - "n0 = 5.0\nn1 = 30.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "1.5" - ], - "split": "train" - }, - { - "Input": "a man sells a car to his friend at 13 % loss . if the friend sells it for rs . 54000 and gains 20 % , the original c . p . of the car was :", - "Output Program": [ - "n0 = 13.0\nn1 = 54000.0\nn2 = 20.0\nt0 = n2 + 100.0\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t1 / t0\nt4 = t3 * 100.0\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "51724.137931034486" - ], - "split": "train" - }, - { - "Input": "a reduction of 40 % in the price of bananas would enable a man to obtain 50 more for rs . 40 , what is reduced price per dozen ?", - "Output Program": [ - "n0 = 40.0\nn1 = 50.0\nn2 = 40.0\nt0 = n0 / 100.0\nt1 = n0 * t0\nt2 = t1 / n1\nanswer = t2 * 12.0\nprint(answer)" - ], - "Output Answer": [ - "3.84" - ], - "split": "train" - }, - { - "Input": "the price of a jacket is reduced by 25 % . during a special sale the price of the jacket is reduced another 10 % . by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount ?", - "Output Program": [ - "n0 = 25.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t1 - t2\nt4 = 100.0 - t3\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "48.148148148148145" - ], - "split": "train" - }, - { - "Input": "a man gains 50 % by selling an article for a certain price . if he sells it at double the price , the percentage of profit will be .", - "Output Program": [ - "n0 = 50.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1 * 2.0\nt3 = t2 - 1.0\nt4 = t3 * 100.0\nanswer = t4 + 100.0\nprint(answer)" - ], - "Output Answer": [ - "300" - ], - "split": "train" - }, - { - "Input": "the difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4 % per annum is rs 1 . find the sum", - "Output Program": [ - "n0 = 2.0\nn1 = 4.0\nn2 = 1.0\nt0 = n1 / 100.0\nt1 = t0**min(2.0, 5)\nt2 = n2 * t1\nanswer = 1 / t2\nprint(answer)" - ], - "Output Answer": [ - "625" - ], - "split": "train" - }, - { - "Input": "the banker ' s gain on a bill due due 1 year hence at 12 % per annum is rs . 8.4 . the true discount is", - "Output Program": [ - "n0 = 1.0\nn1 = 12.0\nn2 = 8.4\nt0 = n1 / 100.0\nanswer = n2 / t0\nprint(answer)" - ], - "Output Answer": [ - "70" - ], - "split": "train" - }, - { - "Input": "ashok and pyarelal invested money together in a business and share a capital of ashok is 1 / 9 of that of pyarelal . if the incur a loss of rs 670 then loss of pyarelal ?", - "Output Program": [ - "n0 = 1.0\nn1 = 9.0\nn2 = 670.0\nt0 = n0 + n1\nt1 = n1 * n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "603" - ], - "split": "train" - }, - { - "Input": "a survey of employers found that during 1993 employment costs rose 3.5 percent , where employment costs consist of salary costs and fringe - benefit costs . if salary costs rose 3 percent and fringe - benefit costs rose 4.5 percent during 1993 , then fringe - benefit costs represented what percent of employment costs at the beginning of 1993 ?", - "Output Program": [ - "n0 = 1993.0\nn1 = 3.5\nn2 = 3.0\nn3 = 4.5\nn4 = 1993.0\nn5 = 1993.0\nt0 = n1 - n2\nt1 = n3 - n2\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "train" - }, - { - "Input": "the banker ' s gain on a sum due 6 years hence at 12 % per annum is rs . 828 . what is the banker ' s discount ?", - "Output Program": [ - "n0 = 6.0\nn1 = 12.0\nn2 = 828.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nt2 = t0 / t1\nanswer = n2 + t2\nprint(answer)" - ], - "Output Answer": [ - "1978" - ], - "split": "train" - }, - { - "Input": "what is the rate percent when the simple interest on rs . 800 amount to rs . 160 in 4 years ?", - "Output Program": [ - "n0 = 800.0\nn1 = 160.0\nn2 = 4.0\nt0 = n1 * 100.0\nt1 = n0 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "a , b and c enter into partnership . a invests some money at the beginning , b invests double the amount after 6 months , and c invests thrice the amount after 8 months . if the annual gain be rs . 24000 . a ' s share is ?", - "Output Program": [ - "n0 = 6.0\nn1 = 8.0\nn2 = 24000.0\nt0 = 1.0 * 12.0\nt1 = 12.0 - n0\nt2 = 12.0 - n1\nt3 = t1 * 2.0\nt4 = t2 * 3.0\nt5 = t0 + t3\nt6 = t5 + t4\nt7 = n2 / t6\nanswer = t7 * t0\nprint(answer)" - ], - "Output Answer": [ - "8000" - ], - "split": "train" - }, - { - "Input": "in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 5 percent , but profits were 10 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?", - "Output Program": [ - "n0 = 2008.0\nn1 = 10.0\nn2 = 2009.0\nn3 = 5.0\nn4 = 10.0\nn5 = 2009.0\nn6 = 2008.0\nt0 = n3 / 100.0\nt1 = 1.0 - t0\nt2 = n4 * t1\nt3 = t2 / n1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "95" - ], - "split": "train" - }, - { - "Input": "the true discount on a bill due 9 months hence at 16 % per annum is rs . 189 . the amount of the bill is :", - "Output Program": [ - "n0 = 9.0\nn1 = 16.0\nn2 = 189.0\nt0 = 3.0 * 4.0\nt1 = n0 / t0\nt2 = n1 * t1\nt3 = t2 / 100.0\nt4 = n2 / t3\nanswer = n2 + t4\nprint(answer)" - ], - "Output Answer": [ - "1764" - ], - "split": "train" - }, - { - "Input": "the cost price of an book is 64 % of the marked price . calculate the gain percent after allowing a discount of 13 % ?", - "Output Program": [ - "n0 = 64.0\nn1 = 13.0\nt0 = 100.0 / n0\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nt3 = t0 * t2\nt4 = t3 - 1.0\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "35.9375" - ], - "split": "train" - }, - { - "Input": "a candidate got 25 % of the votes polled and he lost to his rival by 4000 votes . how many votes were cast ?", - "Output Program": [ - "n0 = 25.0\nn1 = 4000.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "8000" - ], - "split": "train" - }, - { - "Input": "a sum of money becomes 7 / 6 of itself in 2 years at a certain rate of simple interest . the rate per annum is ?", - "Output Program": [ - "n0 = 7.0\nn1 = 6.0\nn2 = 2.0\nt0 = n0 / n1\nt1 = t0 - 1.0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "8.333333333333337" - ], - "split": "train" - }, - { - "Input": "at what rate percent on simple interest will rs . 1750 amount to rs . 2000 in 4 years ?", - "Output Program": [ - "n0 = 1750.0\nn1 = 2000.0\nn2 = 4.0\nt0 = n1 - n0\nt1 = t0 / n0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "3.571428571428571" - ], - "split": "train" - }, - { - "Input": "the effective annual rate of interest corresponding to a nominal rate of 6 % per annum payable half - yearly is :", - "Output Program": [ - "n0 = 6.0\nt0 = n0 / 2.0\nt1 = t0 + t0\nt2 = t0 * t0\nt3 = t2 / 100.0\nanswer = t1 + t3\nprint(answer)" - ], - "Output Answer": [ - "6.09" - ], - "split": "train" - }, - { - "Input": "a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 1200 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 25.0\nn1 = 5.0\nn2 = 1200.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "a fruit seller sells mangoes at the rate of rs . 14 per kg and thereby loses 15 % . at what price per kg , he should have sold them to make a profit of 15 % ?", - "Output Program": [ - "n0 = 14.0\nn1 = 15.0\nn2 = 15.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = n0 * t0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "18.941176470588236" - ], - "split": "train" - }, - { - "Input": "a light has a rating of 60 watts , it is replaced with a new light that has 12 % higher wattage . how many watts does the new light have ?", - "Output Program": [ - "n0 = 60.0\nn1 = 12.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "67.2" - ], - "split": "train" - }, - { - "Input": "a sum of money becomes 7 / 6 of itself in 6 years at a certain rate of simple interest . the rate per annum is ?", - "Output Program": [ - "n0 = 7.0\nn1 = 6.0\nn2 = 6.0\nt0 = n0 / n1\nt1 = t0 - 1.0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2.777777777777779" - ], - "split": "train" - }, - { - "Input": "find the missing figures : 0.3 % of ? = 0.15", - "Output Program": [ - "n0 = 0.3\nn1 = 0.15\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "the mean daily profit made by a shopkeeper in a month of 30 days was rs . 350 . if the mean profit for the first fifteen days was rs . 265 , then the mean profit for the last 15 days would be", - "Output Program": [ - "n0 = 30.0\nn1 = 350.0\nn2 = 265.0\nn3 = 15.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 - t1\nanswer = t2 / n3\nprint(answer)" - ], - "Output Answer": [ - "435" - ], - "split": "train" - }, - { - "Input": "anil brought a scooter for a certain sum of money . he spent 10 % of the cost on repairs and sold the scooter for a profit of rs . 1100 . how much did he spend on repairs if he made a profit of 20 % ?", - "Output Program": [ - "n0 = 10.0\nn1 = 1100.0\nn2 = 20.0\nt0 = n2 / n0\nt1 = 1.0 / n0\nt2 = n0 * n0\nt3 = t1 + 1.0\nt4 = n0 / t0\nt5 = n1 * t4\nt6 = t5 / t3\nt7 = n0 * t6\nanswer = t7 / t2\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "train" - }, - { - "Input": "what is 0.01 percent of 12,356 ?", - "Output Program": [ - "n0 = 0.01\nn1 = 12356.0\nt0 = 2.0 + 3.0\nt1 = 3.0 + 4.0\nt2 = 3.0 + 3.0\nt3 = 3.0 * 4.0\nt4 = t0 * 2.0\nt5 = t3 * 100.0\nt6 = t1 * t0\nt7 = t4 * t5\nt8 = t6 * t4\nt9 = t7 + t8\nt10 = t9 + t2\nt11 = n0 * t10\nanswer = t11 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1.2356" - ], - "split": "train" - }, - { - "Input": "the price of a jacket is reduced by 35 % . during a special sale the price of the jacket is reduced another 10 % . by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount ?", - "Output Program": [ - "n0 = 35.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t1 - t2\nt4 = 100.0 - t3\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "70.94017094017094" - ], - "split": "train" - }, - { - "Input": "if a and b get profits of rs . 60,000 and rs . 6,000 respectively at the end of year then ratio of their investments are", - "Output Program": [ - "n0 = 60000.0\nn1 = 6000.0\nt0 = 2.0 + 3.0\nt1 = 2.0 * 3.0\nt2 = t1 * 100.0\nt3 = t0 * 2.0\nt4 = t2 * 100.0\nt5 = t4 / t3\nanswer = t4 / t5\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "a watch was sold at a loss of 10 % . if it was sold for rs . 210 more , there would have been a gain of 4 % . what is the cost price ?", - "Output Program": [ - "n0 = 10.0\nn1 = 210.0\nn2 = 4.0\nt0 = 100.0 + 4.0\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t0 - t2\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "1500" - ], - "split": "train" - }, - { - "Input": "walking 7 / 6 of his usual rate , a boy reaches his school 3 min early . find his usual time to reach the school ?", - "Output Program": [ - "n0 = 7.0\nn1 = 6.0\nn2 = 3.0\n\nanswer = n0 * n2\nprint(answer)" - ], - "Output Answer": [ - "21" - ], - "split": "train" - }, - { - "Input": "in a school of 850 boys , 40 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?", - "Output Program": [ - "n0 = 850.0\nn1 = 40.0\nn2 = 28.0\nn3 = 10.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = 100.0 - t1\nt3 = n0 * t2\nanswer = t3 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "187" - ], - "split": "train" - }, - { - "Input": "a man sold 18 toys for rs . 25200 , gaining thereby the cost price of 3 toy find the cost price of a toy", - "Output Program": [ - "n0 = 18.0\nn1 = 25200.0\nn2 = 3.0\nt0 = n0 + n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "1200" - ], - "split": "train" - }, - { - "Input": "sonika deposited rs . 8000 which amounted to rs . 9200 after 3 years at simple interest . had the interest been 3 % more . she would get how much ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 9200.0\nn2 = 3.0\nn3 = 3.0\nt0 = n3 / 100.0\nt1 = n1 - n0\nt2 = t1 / n2\nt3 = t2 / n0\nt4 = t0 + t3\nt5 = n0 * t4\nt6 = n2 * t5\nanswer = n0 + t6\nprint(answer)" - ], - "Output Answer": [ - "9920" - ], - "split": "train" - }, - { - "Input": "if 0.5 % of a = 70 paise , then the value of a is ?", - "Output Program": [ - "n0 = 0.5\nn1 = 70.0\n\nanswer = n1 / n0\nprint(answer)" - ], - "Output Answer": [ - "140" - ], - "split": "train" - }, - { - "Input": "a retailer bought a machine at a wholesale price of $ 90 and later on sold it after a 10 % discount of the retail price . if the retailer made a profit equivalent to 20 % of the whole price , what is the retail price e of the machine ?", - "Output Program": [ - "n0 = 90.0\nn1 = 10.0\nn2 = 20.0\nt0 = n0 * n2\nt1 = 3.0 * 3.0\nt2 = t0 / 100.0\nt3 = n1 * t1\nt4 = n0 + t2\nt5 = t4 * 100.0\nanswer = t5 / t3\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "if a man lost 4 % by selling oranges at the rate of 16 a rupee at how many a rupee must he sell them to gain 28 % ?", - "Output Program": [ - "n0 = 4.0\nn1 = 16.0\nn2 = 28.0\nt0 = n2 + 100.0\nt1 = 100.0 - n0\nt2 = n1 * t1\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "train" - }, - { - "Input": "the profit earned by selling an article for rs . 832 is equal to the loss incurred when the same article is sold for rs . 448 . what should be the sale price for making 60 % profit ?", - "Output Program": [ - "n0 = 832.0\nn1 = 448.0\nn2 = 60.0\nt0 = n2 / 100.0\nt1 = n0 - n1\nt2 = t0 + 1.0\nt3 = t1 / 2.0\nt4 = n0 - t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "1024" - ], - "split": "train" - }, - { - "Input": "a cycle is bought for rs . 1000 and sold for rs . 1080 , find the gain percent ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 1080.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "at what price must an book costing $ 47.50 be marked in order that after deducting 10 % from the list price . it may be sold at a profit of 25 % on the cost price ?", - "Output Program": [ - "n0 = 47.5\nn1 = 10.0\nn2 = 25.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = n0 * t0\nt3 = t2 / 100.0\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "65.97222222222221" - ], - "split": "train" - }, - { - "Input": "an amount of rs . 100000 is invested in two types of shares . the first yields an interest of 9 % p . a and the second , 11 % p . a . if the total interest at the end of one year is 9 3 / 5 % , then the amount invested at 11 % was ?", - "Output Program": [ - "n0 = 100000.0\nn1 = 9.0\nn2 = 11.0\nn3 = 9.0\nn4 = 3.0\nn5 = 5.0\nn6 = 11.0\nt0 = n4 / n5\nt1 = n1 / 100.0\nt2 = n2 / 100.0\nt3 = n1 + t0\nt4 = n0 * t1\nt5 = t2 - t1\nt6 = t3 / 100.0\nt7 = n0 * t6\nt8 = t7 - t4\nanswer = t8 / t5\nprint(answer)" - ], - "Output Answer": [ - "29999.999999999993" - ], - "split": "train" - }, - { - "Input": "a shopkeeper loses 15 % , if an article is sold for rs . 170 . what should be the selling price of the article to gain 20 % ?", - "Output Program": [ - "n0 = 15.0\nn1 = 170.0\nn2 = 20.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = 1.0 - t0\nt3 = n1 / t2\nt4 = t3 * t1\nanswer = t3 + t4\nprint(answer)" - ], - "Output Answer": [ - "240" - ], - "split": "train" - }, - { - "Input": "in an election , candidate a got 85 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favor of candidate .", - "Output Program": [ - "n0 = 85.0\nn1 = 15.0\nn2 = 560000.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = 1.0 - t1\nt3 = n2 * t2\nanswer = t0 * t3\nprint(answer)" - ], - "Output Answer": [ - "404600" - ], - "split": "train" - }, - { - "Input": "a retailer purchases shirts from a wholesaler and then sells the shirts in her store at a retail price that is 80 percent greater than the wholesale price . if the retailer decreases the retail price by 20 percent this will have the same effect as increasing the wholesale price by what percent ?", - "Output Program": [ - "n0 = 80.0\nn1 = 20.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "44.000000000000014" - ], - "split": "train" - }, - { - "Input": "one night 40 percent of the female officers on a police force were on duty . if 240 officers were on duty that night and half of these were female officers , how many female officers were on the police force ?", - "Output Program": [ - "n0 = 40.0\nn1 = 240.0\nt0 = n1 / 2.0\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "300" - ], - "split": "train" - }, - { - "Input": "the banker ' s gain on a bill due due 1 year hence at 12 % per annum is rs . 6.6 . the true discount is", - "Output Program": [ - "n0 = 1.0\nn1 = 12.0\nn2 = 6.6\nt0 = n1 / 100.0\nanswer = n2 / t0\nprint(answer)" - ], - "Output Answer": [ - "55" - ], - "split": "train" - }, - { - "Input": "a bowl was filled with 10 ounces of water , and 0.08 ounce of the water evaporated each day during a 50 - day period . what percent of the original amount of water evaporated during this period ?", - "Output Program": [ - "n0 = 10.0\nn1 = 0.08\nn2 = 50.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "machine a and machine b are each used to manufacture 440 sprockets . it takes machine a 10 hours longer to produce 440 sprockets than machine b . machine b produces 10 percent more sprockets per hour than machine a . how many sprockets per hour does machine a produces ?", - "Output Program": [ - "n0 = 440.0\nn1 = 10.0\nn2 = 440.0\nn3 = 10.0\nt0 = n1 + 100.0\nt1 = n0 * n1\nt2 = t0 / 100.0\nt3 = t2 * t1\nt4 = n0 * t2\nt5 = t4 - n0\nt6 = t3 / t5\nanswer = n0 / t6\nprint(answer)" - ], - "Output Answer": [ - "4.000000000000005" - ], - "split": "train" - }, - { - "Input": "a football team lost 5 yards and then gained 8 . what is the team ' s progress ?", - "Output Program": [ - "n0 = 5.0\nn1 = 8.0\n\nanswer = n1 - n0\nprint(answer)" - ], - "Output Answer": [ - "3" - ], - "split": "train" - }, - { - "Input": "if 125 % of j is equal to 25 % of k , 150 % of k is equal to 50 % of l , and 175 % of l is equal to 75 % of m , then 20 % of m is equal to what percent of 100 % of j ?", - "Output Program": [ - "n0 = 125.0\nn1 = 25.0\nn2 = 150.0\nn3 = 50.0\nn4 = 175.0\nn5 = 75.0\nn6 = 20.0\nn7 = 100.0\nt0 = n0 * n2\nt1 = n1 * n3\nt2 = n4 * t0\nt3 = n5 * t1\nt4 = t2 / t3\nt5 = n6 * t4\nt6 = t5 / n7\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "700" - ], - "split": "train" - }, - { - "Input": "the price of a t . v . set worth rs . 8000 is to be paid in 20 installments of rs . 750 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 20.0\nn2 = 750.0\nn3 = 6.0\n\nanswer = n0 - n2\nprint(answer)" - ], - "Output Answer": [ - "7250" - ], - "split": "train" - }, - { - "Input": "if the annual increase in the population of a town is 10 % and the present number of people is 13000 , what will the population be in 2 years ?", - "Output Program": [ - "n0 = 10.0\nn1 = 13000.0\nn2 = 2.0\nt0 = n0 + 100.0\nt1 = t0 / 100.0\nt2 = n1 * t1\nanswer = t1 * t2\nprint(answer)" - ], - "Output Answer": [ - "15730.000000000004" - ], - "split": "train" - }, - { - "Input": "140 is what percent of 40 ?", - "Output Program": [ - "n0 = 140.0\nn1 = 40.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "350" - ], - "split": "train" - }, - { - "Input": "tickets to a certain concert sell for $ 20 each . the first 10 people to show up at the ticket booth received a 40 % discount , and the next 20 received a 15 % discount . if 56 people bought tickets to the concert , what was the total revenue from ticket sales ?", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nn2 = 40.0\nn3 = 20.0\nn4 = 15.0\nn5 = 56.0\nt0 = n2 / 100.0\nt1 = n4 / 100.0\nt2 = n5 - n0\nt3 = 1.0 - t0\nt4 = t2 - n1\nt5 = 1.0 - t1\nt6 = n1 * t3\nt7 = n0 * t5\nt8 = t6 + t4\nt9 = t8 + t7\nanswer = n0 * t9\nprint(answer)" - ], - "Output Answer": [ - "980" - ], - "split": "train" - }, - { - "Input": "by selling an article for $ 90 , a person gains $ 15 . what is the gain % ?", - "Output Program": [ - "n0 = 90.0\nn1 = 15.0\nt0 = n1 * 100.0\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "one fourth of a solution that was 12 % salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight . the second solution was what percent salt by weight ?", - "Output Program": [ - "n0 = 12.0\nn1 = 16.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 * 4.0\nt3 = t1 * 4.0\nt4 = t3 - t1\nt5 = t2 - t4\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "28.000000000000004" - ], - "split": "train" - }, - { - "Input": "a shopkeeper labeled the price of his articles so as to earn a profit of 30 % on the cost price . he then sold the articles by offering a discount of 10 % on the labeled price . what is the actual percent profit earned in the deal ?", - "Output Program": [ - "n0 = 30.0\nn1 = 10.0\nt0 = n0 + 100.0\nt1 = n1 / 100.0\nt2 = t0 * t1\nt3 = t0 - t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "17" - ], - "split": "train" - }, - { - "Input": "what is rate of interest if principal . amount be 400 , simple interest 100 and time 2 year .", - "Output Program": [ - "n0 = 400.0\nn1 = 100.0\nn2 = 2.0\nt0 = n0 * n2\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12.5" - ], - "split": "train" - }, - { - "Input": "if a lends rs . 3500 to b at 10 % per annum and b lends the same sum to c at 14 % per annum then the gain of b in a period of 3 years is ?", - "Output Program": [ - "n0 = 3500.0\nn1 = 10.0\nn2 = 14.0\nn3 = 3.0\nt0 = n0 * n2\nt1 = n0 * n1\nt2 = t0 * n3\nt3 = n3 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nanswer = t4 - t5\nprint(answer)" - ], - "Output Answer": [ - "420" - ], - "split": "train" - }, - { - "Input": "mr . john used to purchase certain number of mangoes for $ 360 since the price of mangoes is reduced by 10 % he got 12 more mangoes today . find the original price of 110 mangoes .", - "Output Program": [ - "n0 = 360.0\nn1 = 10.0\nn2 = 12.0\nn3 = 110.0\nt0 = 1.0 / n1\nt1 = 1.0 - t0\nt2 = n0 / t1\nt3 = t2 - n0\nt4 = t3 / n2\nanswer = n3 * t4\nprint(answer)" - ], - "Output Answer": [ - "366.6666666666667" - ], - "split": "train" - }, - { - "Input": "a man can row his boat with the stream at 10 km / h and against the stream in 6 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 10.0\nn1 = 6.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "2" - ], - "split": "train" - }, - { - "Input": "an amount of rs . 100000 is invested in two types of shares . the first yields an interest of 9 % p . a and the second , 11 % p . a . if the total interest at the end of one year is 9 1 / 4 % , then the amount invested at 11 % was ?", - "Output Program": [ - "n0 = 100000.0\nn1 = 9.0\nn2 = 11.0\nn3 = 9.0\nn4 = 1.0\nn5 = 4.0\nn6 = 11.0\nt0 = n4 / n5\nt1 = n1 / 100.0\nt2 = n2 / 100.0\nt3 = n1 + t0\nt4 = n0 * t1\nt5 = t2 - t1\nt6 = t3 / 100.0\nt7 = n0 * t6\nt8 = t7 - t4\nanswer = t8 / t5\nprint(answer)" - ], - "Output Answer": [ - "12499.999999999998" - ], - "split": "train" - }, - { - "Input": "on a certain road , 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but 40 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on that road exceed the posted speed limit ?", - "Output Program": [ - "n0 = 10.0\nn1 = 40.0\nt0 = 100.0 - n1\nt1 = n0 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "16.666666666666664" - ], - "split": "train" - }, - { - "Input": "there is 60 lit of milk and water in which milk forms 84 % . howmuch water must be added to this solution to make it solution in which milk forms 54 %", - "Output Program": [ - "n0 = 60.0\nn1 = 84.0\nn2 = 54.0\nt0 = 100.0 / n2\nt1 = n0 * n1\nt2 = t1 / 100.0\nt3 = t0 * t2\nanswer = t3 - n0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "train" - }, - { - "Input": "the cost of 20 articles is equal to selling price of 10 . find the gain or loss percent ?", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nt0 = n1 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "find the 25 % of rs . 200 .", - "Output Program": [ - "n0 = 25.0\nn1 = 200.0\nt0 = n0 / 100.0\nanswer = n1 * t0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a bowl of fruit contains 14 apples and 25 oranges . how many oranges must be removed so that 70 % of the pieces of fruit in the bowl will be apples ?", - "Output Program": [ - "n0 = 14.0\nn1 = 25.0\nn2 = 70.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = t0 * t1\nt3 = t2 - n0\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "18.999999999999996" - ], - "split": "train" - }, - { - "Input": "find the annual income derived by investing $ 6800 in 20 % stock at 136 .", - "Output Program": [ - "n0 = 6800.0\nn1 = 20.0\nn2 = 136.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "train" - }, - { - "Input": "a man can row his boat with the stream at 16 km / h and against the stream in 6 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 16.0\nn1 = 6.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "if the compound interest on a certain sum of money for 4 years at 10 % per annum be rs . 993 , what would be the simple interest ?", - "Output Program": [ - "n0 = 4.0\nn1 = 10.0\nn2 = 993.0\nt0 = 3.0 * 100.0\nt1 = n1 * t0\nt2 = n1 * t1\nt3 = n0 * t2\nanswer = t3 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1200" - ], - "split": "train" - }, - { - "Input": "a merchant marks goods up by 75 % and then offers a discount on the marked price . the profit that the merchant makes after offering the discount is 5 % . what % discount did the merchant offer ?", - "Output Program": [ - "n0 = 75.0\nn1 = 5.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t2 - 1.0\nt4 = t3 - t1\nt5 = t4 / t2\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "what will be the difference between simple and compound interest at 12 % per annum on a sum of rs . 1000 after 4 years ?", - "Output Program": [ - "n0 = 12.0\nn1 = 1000.0\nn2 = 4.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = n1 * t0\nt3 = n2 * t2\nt4 = t1**min(n2, 5)\nt5 = n1 * t4\nt6 = t5 - n1\nanswer = t6 - t3\nprint(answer)" - ], - "Output Answer": [ - "93.51936000000069" - ], - "split": "train" - }, - { - "Input": "a man can row his boat with the stream at 16 km / h and against the stream in 8 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 16.0\nn1 = 8.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "an uneducated retailer marks all his goods at 40 % above the cost price and thinking that he will still make 25 % profit , offers a discount of 25 % on the marked price . what is his actual profit on the sales ?", - "Output Program": [ - "n0 = 40.0\nn1 = 25.0\nn2 = 25.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t2 * t1\nt4 = t2 - t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "4.999999999999982" - ], - "split": "train" - }, - { - "Input": "some of the 50 % solution of acid was removed and this was replaced with an equal amount of 30 % solution of acid . as a result , a 40 % solution of acid was obtained . what fraction of the original solution was replaced ?", - "Output Program": [ - "n0 = 50.0\nn1 = 30.0\nn2 = 40.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" - ], - "Output Answer": [ - "0.5" - ], - "split": "train" - }, - { - "Input": "a number increased by 40 % gives 700 . the number is", - "Output Program": [ - "n0 = 40.0\nn1 = 700.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "500.00000000000006" - ], - "split": "train" - }, - { - "Input": "the profits of qrs company rose 40 % from march to april , then dropped 20 % from april to may , then rose 50 % from may to june . what was the percent increase for the whole quarter , from march to june ?", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nn2 = 50.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 + 1.0\nt4 = t1 + 1.0\nt5 = 1.0 - t2\nt6 = t4 * t5\nt7 = t3 * t6\nt8 = t7 - 1.0\nanswer = t8 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "67.99999999999997" - ], - "split": "train" - }, - { - "Input": "from the sale of sleeping bags , a retailer made a gross profit of 12 % of the wholesale cost . if each sleeping bag was sold for $ 28 , what was the wholesale cost per bag ?", - "Output Program": [ - "n0 = 12.0\nn1 = 28.0\nt0 = n0 + 100.0\nt1 = n1 * 100.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "a watch was sold at a loss of 9 % . if it was sold for rs . 220 more , there would have been a gain of 4 % . what is the cost price ?", - "Output Program": [ - "n0 = 9.0\nn1 = 220.0\nn2 = 4.0\nt0 = 100.0 + n2\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t0 - t2\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "1692.3076923076924" - ], - "split": "train" - }, - { - "Input": "33 1 / 3 % of 270 ?", - "Output Program": [ - "n0 = 33.0\nn1 = 1.0\nn2 = 3.0\nn3 = 270.0\nt0 = n1 / n2\nt1 = n0 + t0\nt2 = n3 * t1\nanswer = t2 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "90" - ], - "split": "train" - }, - { - "Input": "in an office in singapore there are 60 % female employees . 50 % of all the male employees are computer literate . if there are total 62 % employees computer literate out of total 1300 employees , then the no . of female employees who are computer literate ?", - "Output Program": [ - "n0 = 60.0\nn1 = 50.0\nn2 = 62.0\nn3 = 1300.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 / 100.0\nt3 = 1.0 - t2\nt4 = t1 * t3\nt5 = t0 - t4\nanswer = n3 * t5\nprint(answer)" - ], - "Output Answer": [ - "546" - ], - "split": "train" - }, - { - "Input": "a broker invested her own money in the stock market . during the first year , she increased her stock market wealth by 60 percent . in the second year , largely as a result of a slump in the stock market , she suffered a 30 percent decrease in the value of her stock investments . what was the net increase or decrease on her overall stock investment wealth by the end of the second year ?", - "Output Program": [ - "n0 = 60.0\nn1 = 30.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "11.99999999999999" - ], - "split": "train" - }, - { - "Input": "when the price of an article was reduced by 30 % its sale increased by 80 % . what was the net effect on the sale ?", - "Output Program": [ - "n0 = 30.0\nn1 = 80.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 / 100.0\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "26" - ], - "split": "train" - }, - { - "Input": "if the simple interest on a certain sum of money for 4 years is one \u2013 fifth of the sum , then the rate of interest per annum is", - "Output Program": [ - "n0 = 4.0\nt0 = 1.0 + 4.0\nt1 = 100.0 / t0\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "a watch was sold at a loss of 10 % . if it was sold for rs . 540 more , there would have been a gain of 8 % . what is the cost price ?", - "Output Program": [ - "n0 = 10.0\nn1 = 540.0\nn2 = 8.0\nt0 = 100.0 + n2\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t0 - t2\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "3000" - ], - "split": "train" - }, - { - "Input": "in a particular state , 62 % of the counties received some rain on monday , and 54 % of the counties received some rain on tuesday . no rain fell either day in 28 % of the counties in the state . what percent of the counties received some rain on monday and tuesday ?", - "Output Program": [ - "n0 = 62.0\nn1 = 54.0\nn2 = 28.0\nt0 = n0 + n1\nt1 = 100.0 - n2\nanswer = t0 - t1\nprint(answer)" - ], - "Output Answer": [ - "44" - ], - "split": "train" - }, - { - "Input": "what profit percent is made by selling an article at a certain price , if by selling at 2 / 3 rd of that price , there would be a loss of 16 % ?", - "Output Program": [ - "n0 = 2.0\nn1 = 3.0\nn2 = 16.0\nt0 = n0 / n1\nt1 = 100.0 - n2\nt2 = t1 / t0\nanswer = t2 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "26" - ], - "split": "train" - }, - { - "Input": "if 15 % of 40 is greater than 25 % of a number by 2 , then the number is ?", - "Output Program": [ - "n0 = 15.0\nn1 = 40.0\nn2 = 25.0\nn3 = 2.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 * t0\nt3 = t2 - n3\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "walking 7 / 6 of his usual rate , a boy reaches his school 7 min early . find his usual time to reach the school ?", - "Output Program": [ - "n0 = 7.0\nn1 = 6.0\nn2 = 7.0\n\nanswer = n0 * n2\nprint(answer)" - ], - "Output Answer": [ - "49" - ], - "split": "train" - }, - { - "Input": "the cost price of a radio is rs . 1500 and it was sold for rs . 1200 , find the loss % ?", - "Output Program": [ - "n0 = 1500.0\nn1 = 1200.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "p and q started a business investing rs . 54,000 and rs . 36,000 respectively . out of a total profit of rs . 18,000 , q ' s share is :", - "Output Program": [ - "n0 = 54000.0\nn1 = 36000.0\nn2 = 18000.0\nt0 = n2 + 3.0\nt1 = t0 + 3.0\nt2 = n2 * t0\nt3 = t1 * t2\nt4 = t2 * 3.0\nt5 = t0 + t3\nt6 = t0 + t4\nanswer = t5 / t6\nprint(answer)" - ], - "Output Answer": [ - "6001.888872428289" - ], - "split": "train" - }, - { - "Input": "two numbers are respectively 71 % and 80 % more than a third number . the percentage that is first of the second is ?", - "Output Program": [ - "n0 = 71.0\nn1 = 80.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = t0 / t1\nt3 = t2 * 100.0\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "rs . 2500 is divided into two parts such that if one part be put out at 5 % simple interest and the other at 6 % , the yearly annual income may be rs . 130 . how much was lent at 5 % ?", - "Output Program": [ - "n0 = 2500.0\nn1 = 5.0\nn2 = 6.0\nn3 = 130.0\nn4 = 5.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n0 * n2\nt3 = t2 / 100.0\nt4 = t0 - t1\nt5 = n3 - t3\nanswer = t5 / t4\nprint(answer)" - ], - "Output Answer": [ - "2000.000000000001" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 540 after successive discount is 5 % and 2 % is ?", - "Output Program": [ - "n0 = 540.0\nn1 = 5.0\nn2 = 2.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "502.74" - ], - "split": "train" - }, - { - "Input": "company p had 15 percent more employees in december than it had in january . if company p had 480 employees in december , how many employees did it have in january ?", - "Output Program": [ - "n0 = 15.0\nn1 = 480.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "417.3913043478261" - ], - "split": "train" - }, - { - "Input": "an article is bought for rs . 600 and sold for rs . 300 , find the loss percent ?", - "Output Program": [ - "n0 = 600.0\nn1 = 300.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nanswer = 100.0 - t1\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "what sum of money will produce rs . 60 as simple interest in 4 years at 3 1 / 2 percent ?", - "Output Program": [ - "n0 = 60.0\nn1 = 4.0\nn2 = 3.0\nn3 = 1.0\nn4 = 2.0\nt0 = n3 / n4\nt1 = n2 + t0\nt2 = n1 * t1\nt3 = t2 / 100.0\nanswer = n0 / t3\nprint(answer)" - ], - "Output Answer": [ - "428.57142857142856" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sells 20 % of his stock at 10 % profit ans sells the remaining at a loss of 5 % . he incurred an overall loss of rs . 300 . find the total worth of the stock ?", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nn2 = 5.0\nn3 = 300.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 / 100.0\nt3 = 100.0 - n0\nt4 = t3 / 100.0\nt5 = t1 * t2\nt6 = t0 * t4\nt7 = t6 - t5\nanswer = n3 / t7\nprint(answer)" - ], - "Output Answer": [ - "14999.999999999996" - ], - "split": "train" - }, - { - "Input": "thirty percent of the members of a swim club have passed the lifesaving test . among the members who havenotpassed the test , 5 have taken the preparatory course and 30 have not taken the course . how many members are there in the swim club ?", - "Output Program": [ - "n0 = 5.0\nn1 = 30.0\nt0 = n0 + n1\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nanswer = t0 / t2\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "jim is able to sell a hand - carved statue for $ 670 which was a 35 % profit over his cost . how much did the statue originally cost him ?", - "Output Program": [ - "n0 = 670.0\nn1 = 35.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "496.29629629629625" - ], - "split": "train" - }, - { - "Input": "the purchase price of an article is $ 48 . in order to include 10 % of cost for overhead and to provide $ 12 of net profit , the markup should be", - "Output Program": [ - "n0 = 48.0\nn1 = 10.0\nn2 = 12.0\nt0 = n2 / n0\nt1 = t0 * 100.0\nanswer = n1 + t1\nprint(answer)" - ], - "Output Answer": [ - "35" - ], - "split": "train" - }, - { - "Input": "increasing the original price of a certain item by 15 percent and then increasing the new price by 25 percent is equivalent to increasing the original price by what percent ?", - "Output Program": [ - "n0 = 15.0\nn1 = 25.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "43.75" - ], - "split": "train" - }, - { - "Input": "the profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448 . what should be the sale price for making 40 % profit ?", - "Output Program": [ - "n0 = 832.0\nn1 = 448.0\nn2 = 40.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nt2 = n2 * t1\nt3 = t2 / 100.0\nanswer = t3 + t1\nprint(answer)" - ], - "Output Answer": [ - "896" - ], - "split": "train" - }, - { - "Input": "nitin borrowed some money at the rate of 6 % p . a . for the first 3 years , 9 % p . a . for the next 5 years and 13 % p . a . for the period beyond 8 years . if the total interest paid by him at the end of 11 years is rs . 8160 , how much money did he borrow ?", - "Output Program": [ - "n0 = 6.0\nn1 = 3.0\nn2 = 9.0\nn3 = 5.0\nn4 = 13.0\nn5 = 8.0\nn6 = 11.0\nn7 = 8160.0\nt0 = n7 * 100.0\nt1 = n0 * n1\nt2 = n2 * n3\nt3 = n1 * n4\nt4 = t1 + t2\nt5 = t4 + t3\nanswer = t0 / t5\nprint(answer)" - ], - "Output Answer": [ - "8000" - ], - "split": "train" - }, - { - "Input": "the price of a t . v . set worth rs . 40000 is to be paid in 20 installments of rs . 1000 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ?", - "Output Program": [ - "n0 = 40000.0\nn1 = 20.0\nn2 = 1000.0\nn3 = 6.0\n\nanswer = n0 - n2\nprint(answer)" - ], - "Output Answer": [ - "39000" - ], - "split": "train" - }, - { - "Input": "3 candidates in an election and received 2136 , 7636 and 11628 votes respectively . what % of the total votes did the winningcandidate got in that election ?", - "Output Program": [ - "n0 = 3.0\nn1 = 2136.0\nn2 = 7636.0\nn3 = 11628.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = n3 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "54.336448598130836" - ], - "split": "train" - }, - { - "Input": "a number exceeds 20 % of itself by 40 . the number is", - "Output Program": [ - "n0 = 20.0\nn1 = 40.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "if a lends rs . 1000 to b at 10 % per annum and b lends the same sum to c at 11.5 % per annum then the gain of b in a period of 3 years is ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 10.0\nn2 = 11.5\nn3 = 3.0\nt0 = n0 * n2\nt1 = n0 * n1\nt2 = t0 * n3\nt3 = n3 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nanswer = t4 - t5\nprint(answer)" - ], - "Output Answer": [ - "45" - ], - "split": "train" - }, - { - "Input": "a reduction of 50 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 800 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 50.0\nn1 = 5.0\nn2 = 800.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "a candidate who gets 30 % of the marks fails by 50 marks . but another candidate who gets 45 % marks gets 25 marks more than necessary for passing . find the number of marks for passing ?", - "Output Program": [ - "n0 = 30.0\nn1 = 50.0\nn2 = 45.0\nn3 = 25.0\nt0 = n1 + n3\nt1 = n2 / 100.0\nt2 = n0 / 100.0\nt3 = t1 - t2\nt4 = t0 / t3\nt5 = t4 * t2\nanswer = n1 + t5\nprint(answer)" - ], - "Output Answer": [ - "199.99999999999997" - ], - "split": "train" - }, - { - "Input": "the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 10 . if p invested the money for 2 months , find for how much time did q invest the money ?", - "Output Program": [ - "n0 = 7.0\nn1 = 5.0\nn2 = 7.0\nn3 = 10.0\nn4 = 2.0\nt0 = n0 / n1\nt1 = n3 / n2\nt2 = t0 * t1\nanswer = n4 * t2\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "in the manufacture of a certain product , 4 percent of the units produced are defective and 4 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?", - "Output Program": [ - "n0 = 4.0\nn1 = 4.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "0.16" - ], - "split": "train" - }, - { - "Input": "the bankers discount of a certain sum of money is rs . 36 and the true discount on the same sum for the same time is rs . 30 . the sum due is :", - "Output Program": [ - "n0 = 36.0\nn1 = 30.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "180" - ], - "split": "train" - }, - { - "Input": "4 weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 6 weavers in 6 days ?", - "Output Program": [ - "n0 = 4.0\nn1 = 4.0\nn2 = 4.0\nn3 = 6.0\nn4 = 6.0\nt0 = n0 * n0\nt1 = n0 / t0\nt2 = n3 * t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "9" - ], - "split": "train" - }, - { - "Input": "a football team lost 5 yards and then gained 7 . what is the team ' s progress ?", - "Output Program": [ - "n0 = 5.0\nn1 = 7.0\n\nanswer = n1 - n0\nprint(answer)" - ], - "Output Answer": [ - "2" - ], - "split": "train" - }, - { - "Input": "in an election a candidate who gets 60 % of the votes is elected by a majority of 1040 votes . what is the total number of votes polled ?", - "Output Program": [ - "n0 = 60.0\nn1 = 1040.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "5200" - ], - "split": "train" - }, - { - "Input": "by selling 100 pens , a trader gains the cost of 40 pens . find his gain percentage ?", - "Output Program": [ - "n0 = 100.0\nn1 = 40.0\nt0 = n1 / n0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "a is a working partner and b is a sleeping partner in the business . a puts in rs . 15000 and b rs . 25000 , a receives 10 % of the profit for managing the business the rest being divided in proportion of their capitals . out of a total profit of rs . 9600 , money received by a is ?", - "Output Program": [ - "n0 = 15000.0\nn1 = 25000.0\nn2 = 10.0\nn3 = 9600.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = n1 / t0\nt3 = 1.0 - t1\nt4 = n3 * t3\nt5 = t2 * t4\nanswer = n3 - t5\nprint(answer)" - ], - "Output Answer": [ - "4200" - ], - "split": "train" - }, - { - "Input": "exactly 20 % of the reporters for a certain wire service cover local politics in country x . if 20 % of the reporters who cover politics for the wire service do not cover local politics in country x , what percent of the reporters for the wire service do not cover politics ?", - "Output Program": [ - "n0 = 20.0\nn1 = 20.0\nt0 = 100.0 - n1\nt1 = n0 / t0\nt2 = 1.0 - t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "train" - }, - { - "Input": "we had $ 840 left after spending 30 % of the money that we took for shopping . how much money did we start with ?", - "Output Program": [ - "n0 = 840.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "1200" - ], - "split": "train" - }, - { - "Input": "if a man buys 1 liter of milk for 12 rs . and mixes it with 20 % water and sells it for 15 rs then what is the % age of gain . . .", - "Output Program": [ - "n0 = 1.0\nn1 = 12.0\nn2 = 20.0\nn3 = 15.0\nt0 = n2 / 100.0\nt1 = n0 + t0\nt2 = n3 * t1\nt3 = t2 - n1\nt4 = t3 / n1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "what is the rate percent when the simple interest on rs . 1000 amount to rs . 400 in 4 years ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 400.0\nn2 = 4.0\nt0 = n1 * 100.0\nt1 = n0 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "a trader bought a car at 40 % discount on its original price . he sold it at a 80 % increase on the price he bought it . what percent of profit did he make on the original price ?", - "Output Program": [ - "n0 = 40.0\nn1 = 80.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 / 100.0\nt4 = t3 / 100.0\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "8.000000000000007" - ], - "split": "train" - }, - { - "Input": "a reduction of 40 % in the price of bananas would enable a man to obtain 64 more for rs . 40.00001 , what is reduced price per dozen ?", - "Output Program": [ - "n0 = 40.0\nn1 = 64.0\nn2 = 40.00001\nt0 = n0 / 100.0\nt1 = n0 * t0\nt2 = t1 / n1\nanswer = t2 * 12.0\nprint(answer)" - ], - "Output Answer": [ - "3" - ], - "split": "train" - }, - { - "Input": "how many kilograms of sugar costing rs . 9 per kg must be mixed with 27 kg of sugar costing rs . 7 per kg so that there may be gain of 10 % by selling the mixture at rs . 9.24 per kg ?", - "Output Program": [ - "n0 = 9.0\nn1 = 27.0\nn2 = 7.0\nn3 = 10.0\nn4 = 9.24\nt0 = n3 / 100.0\nt1 = n1 * n2\nt2 = t0 + 1.0\nt3 = n4 / t2\nt4 = n1 * t3\nt5 = n0 - t3\nt6 = t4 - t1\nanswer = t6 / t5\nprint(answer)" - ], - "Output Answer": [ - "63.00000000000006" - ], - "split": "train" - }, - { - "Input": "what is the difference between 38 % of 80 nd 12 % of 160 .", - "Output Program": [ - "n0 = 38.0\nn1 = 80.0\nn2 = 12.0\nn3 = 160.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "11.2" - ], - "split": "train" - }, - { - "Input": "the manufacturing cost of a shoe is rs . 210 and the transportation lost is rs . 500 for 100 shoes . what will be the selling price if it is sold at 20 % gains", - "Output Program": [ - "n0 = 210.0\nn1 = 500.0\nn2 = 100.0\nn3 = 20.0\nt0 = n1 / n2\nt1 = n3 / n2\nt2 = n0 + t0\nt3 = t2 * t1\nanswer = t2 + t3\nprint(answer)" - ], - "Output Answer": [ - "258" - ], - "split": "train" - }, - { - "Input": "a man can row his boat with the stream at 24 km / h and against the stream in 10 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 24.0\nn1 = 10.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "7" - ], - "split": "train" - }, - { - "Input": "peter invested a certain sum of money in a simple interest bond whose value grew to $ 100 at the end of 2 years and further to $ 200 at the end of another 4 years . what was the rate of interest in which he invested his sum ?", - "Output Program": [ - "n0 = 100.0\nn1 = 2.0\nn2 = 200.0\nn3 = 4.0\nt0 = n2 - n0\nt1 = t0 / n3\nt2 = n1 * t1\nt3 = n0 - t2\nt4 = t1 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a candidate who gets 20 % of the marks fails by 40 marks . but another candidate who gets 30 % marks gets 20 marks more than necessary for passing . find the number of marks for passing ?", - "Output Program": [ - "n0 = 20.0\nn1 = 40.0\nn2 = 30.0\nn3 = 20.0\nt0 = n1 + n3\nt1 = n2 / 100.0\nt2 = n0 / 100.0\nt3 = t1 - t2\nt4 = t0 / t3\nt5 = t4 * t2\nanswer = n1 + t5\nprint(answer)" - ], - "Output Answer": [ - "160.00000000000003" - ], - "split": "train" - }, - { - "Input": "a chemical supply company has 60 liters of a 30 % hno 3 solution . how many liters of pure undiluted hno 3 must the chemists add so that the resultant solution is a 50 % solution ?", - "Output Program": [ - "n0 = 60.0\nn1 = 30.0\nn2 = 3.0\nn3 = 3.0\nn4 = 50.0\nt0 = n0 / 2.0\nt1 = n0 * n1\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = t3 * 2.0\nprint(answer)" - ], - "Output Answer": [ - "24" - ], - "split": "train" - }, - { - "Input": "because he \u2019 s taxed by his home planet , mork pays a tax rate of 40 % on his income , while mindy pays a rate of only 30 % on hers . if mindy earned 4 times as much as mork did , what was their combined tax rate ?", - "Output Program": [ - "n0 = 40.0\nn1 = 30.0\nn2 = 4.0\nt0 = n2 + 1.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = n2 * t2\nt4 = t1 + t3\nt5 = t4 / t0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "32" - ], - "split": "train" - }, - { - "Input": "some of 40 % - intensity red paint is replaced with 20 % solution of red paint such that the new paint intensity is 20 % . what fraction of the original paint was replaced ?", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nn2 = 20.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 - t1\nt4 = t2 - t1\nanswer = t3 / t4\nprint(answer)" - ], - "Output Answer": [ - "1" - ], - "split": "train" - }, - { - "Input": "there are two concentric circles with radii 10 and 6 . if the radius of the outer circle is increased by 20 % and the radius of the inner circle decreased by 50 % , by what percent does the area between the circles increase ?", - "Output Program": [ - "n0 = 10.0\nn1 = 6.0\nn2 = 20.0\nn3 = 50.0\nt0 = n2 + 100.0\nt1 = n0**min(2.0, 5)\nt2 = n1**min(2.0, 5)\nt3 = 100.0 - n3\nt4 = t0 / 100.0\nt5 = t3 / 100.0\nt6 = t1 - t2\nt7 = n0 * t4\nt8 = n1 * t5\nt9 = t7**min(2.0, 5)\nt10 = t8**min(2.0, 5)\nt11 = t9 - t10\nt12 = t11 - t6\nt13 = t12 / t6\nanswer = t13 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "110.9375" - ], - "split": "train" - }, - { - "Input": "a man ' s speed with the current is 15 km / hr and the speed of the current is 3.2 km / hr . the man ' s speed against the current is ?", - "Output Program": [ - "n0 = 15.0\nn1 = 3.2\nt0 = n0 - n1\nanswer = t0 - n1\nprint(answer)" - ], - "Output Answer": [ - "8.600000000000001" - ], - "split": "train" - }, - { - "Input": "rs 3000 is divided into two parts such that one part is put out at 3 % and the other at 5 % . if the annual interest earned from both the investments be rs 144 , find the first part .", - "Output Program": [ - "n0 = 3000.0\nn1 = 3.0\nn2 = 5.0\nn3 = 144.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 * t0\nt3 = t0 - t1\nt4 = t2 - n3\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "299.99999999999994" - ], - "split": "train" - }, - { - "Input": "in an election between two candidates , the first candidate got 80 % of the votes and the second candidate got 240 votes . what was the total number of votes ?", - "Output Program": [ - "n0 = 80.0\nn1 = 240.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "1200" - ], - "split": "train" - }, - { - "Input": "a retailer buys a radio for rs 225 . his overhead expenses are rs 30 . he sellis the radio for rs 300 . the profit percent of the retailer is", - "Output Program": [ - "n0 = 225.0\nn1 = 30.0\nn2 = 300.0\nt0 = n0 + n1\nt1 = n2 / t0\nt2 = t1 * 100.0\nanswer = t2 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "17.64705882352942" - ], - "split": "train" - }, - { - "Input": "if it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 210 responses are needed , what is the minimum number of questionnaires that should be mailed ?", - "Output Program": [ - "n0 = 60.0\nn1 = 210.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "350" - ], - "split": "train" - }, - { - "Input": "96 % of the population of a city is 23040 . find the total population of the city ?", - "Output Program": [ - "n0 = 96.0\nn1 = 23040.0\nt0 = 100.0 / n0\nanswer = n1 * t0\nprint(answer)" - ], - "Output Answer": [ - "24000" - ], - "split": "train" - }, - { - "Input": "the price of a t . v . set worth rs . 40000 is to be paid in 20 installments of rs . 2500 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ?", - "Output Program": [ - "n0 = 40000.0\nn1 = 20.0\nn2 = 2500.0\nn3 = 6.0\n\nanswer = n0 - n2\nprint(answer)" - ], - "Output Answer": [ - "37500" - ], - "split": "train" - }, - { - "Input": "boy sells a book for rs . 450 he gets a loss of 10 % , to gain 10 % , what should be the sp ?", - "Output Program": [ - "n0 = 450.0\nn1 = 10.0\nn2 = 10.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = 1.0 - t0\nt3 = n0 / t2\nt4 = t3 * t1\nanswer = t3 + t4\nprint(answer)" - ], - "Output Answer": [ - "550" - ], - "split": "train" - }, - { - "Input": "in country z , 10 % of the people do not have a university diploma but have the job of their choice , and 25 % of the people who do not have the job of their choice have a university diploma . if 20 % of the people have the job of their choice , what percent of the people have a university diploma ?", - "Output Program": [ - "n0 = 10.0\nn1 = 25.0\nn2 = 20.0\nt0 = 100.0 - n2\nt1 = n2 - n0\nt2 = n1 * t0\nt3 = t2 / 100.0\nanswer = t3 + t1\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "of the 120 passengers on flight 750 , 40 % are female . 10 % of the passengers sit in first class , and the rest of the passengers sit in coach class . if 1 / 3 of the passengers in first class are male , how many females are there in coach class ?", - "Output Program": [ - "n0 = 120.0\nn1 = 750.0\nn2 = 40.0\nn3 = 10.0\nn4 = 1.0\nn5 = 3.0\nt0 = n2 / 100.0\nt1 = n3 / 100.0\nt2 = n0 * t0\nt3 = n0 * t1\nt4 = t3 / n5\nt5 = t3 - t4\nanswer = t2 - t5\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "a sum fetched a total simple interest of 4052.25 at the rate of 9 % . p . a . in 5 years . what is the sum ?", - "Output Program": [ - "n0 = 4052.25\nn1 = 9.0\nn2 = 5.0\nt0 = n0 * 100.0\nt1 = t0 / n1\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "9005" - ], - "split": "train" - }, - { - "Input": "if a trader sold two cars each at rs . 325475 and gains 10 % on the first and loses 10 % on the second , then his profit or loss percent on the whole is ?", - "Output Program": [ - "n0 = 325475.0\nn1 = 10.0\nn2 = 10.0\nt0 = n1 * n1\nanswer = t0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1" - ], - "split": "train" - }, - { - "Input": "a fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans . a customer bought the pair of jeans for 40 percent more than the retailer paid for them . the price the customer paid was what percent greater than the cost of manufacturing the jeans ?", - "Output Program": [ - "n0 = 40.0\nn1 = 40.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t3 * 100.0\nt5 = t2 * t4\nt6 = t5 / 100.0\nt7 = t6 - 1.0\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "96" - ], - "split": "train" - }, - { - "Input": "the price of a tv was increased by 30 percent . the new price was then increased by 40 percent . a single increase of what percent is equivalent to these two successive increases ?", - "Output Program": [ - "n0 = 30.0\nn1 = 40.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "81.99999999999999" - ], - "split": "train" - }, - { - "Input": "andrew purchased 11 kg of grapes at the rate of 98 per kg and 7 kg of mangoes at the rate of 50 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 11.0\nn1 = 98.0\nn2 = 7.0\nn3 = 50.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1428" - ], - "split": "train" - }, - { - "Input": "in an election a candidate who gets 60 % of the votes is elected by a majority of 1380 votes . what is the total number of votes polled ?", - "Output Program": [ - "n0 = 60.0\nn1 = 1380.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "6900" - ], - "split": "train" - }, - { - "Input": "the banker ' s gain of a certain sum due 2 years hence at 10 % per annum is rs . 24 . what is the present worth ?", - "Output Program": [ - "n0 = 2.0\nn1 = 10.0\nn2 = 24.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nt2 = t0 / t1\nt3 = t2 * 100.0\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "in a certain pond , 50 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?", - "Output Program": [ - "n0 = 50.0\nn1 = 50.0\nn2 = 2.0\nt0 = n2 / n1\nanswer = n0 / t0\nprint(answer)" - ], - "Output Answer": [ - "1250" - ], - "split": "train" - }, - { - "Input": "the profit earned by selling an article for 912 is equal to the loss incurred when the same article is sold for 448 . what should be the sale price of the article for making 50 per cent profit ?", - "Output Program": [ - "n0 = 912.0\nn1 = 448.0\nn2 = 50.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = t1 + 1.0\nt3 = t0 / 2.0\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "1020" - ], - "split": "train" - }, - { - "Input": "two numbers are 35 % and 42 % are less than a third number . how much percent is the second number less than the first ?", - "Output Program": [ - "n0 = 35.0\nn1 = 42.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = t0 - t1\nt3 = t2 / t0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10.76923076923077" - ], - "split": "train" - }, - { - "Input": "a dishonest dealer professes to sell goods at the cost price but uses a weight of 500 grams per kg , what is his percent ?", - "Output Program": [ - "n0 = 500.0\nt0 = 2.0 + 3.0\nt1 = 100.0 / n0\nt2 = t0 * 2.0\nt3 = t2 * 100.0\nt4 = t1 * t3\nanswer = t4 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "a is a working partner and b is a sleeping partner in the business . a puts in rs . 3500 and b rs . 2500 , a receives 10 % of the profit for managing the business the rest being divided in proportion of their capitals . out of a total profit of rs . 9600 , money received by a is ?", - "Output Program": [ - "n0 = 3500.0\nn1 = 2500.0\nn2 = 10.0\nn3 = 9600.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = n1 / t0\nt3 = 1.0 - t1\nt4 = n3 * t3\nt5 = t2 * t4\nanswer = n3 - t5\nprint(answer)" - ], - "Output Answer": [ - "6000" - ], - "split": "train" - }, - { - "Input": "a man walking at a rate of 10 km / hr crosses a bridge in 15 minutes . the length of the bridge is ?", - "Output Program": [ - "n0 = 10.0\nn1 = 15.0\nt0 = n0 * 1000.0\nt1 = t0 / 60.0\nanswer = n1 * t1\nprint(answer)" - ], - "Output Answer": [ - "2500" - ], - "split": "train" - }, - { - "Input": "on a sum of money , the simple interest for 2 years is rs . 660 , while the compound interest is rs . 696.30 , the rate of interest being the same in both the cases . the rate of interest is", - "Output Program": [ - "n0 = 2.0\nn1 = 660.0\nn2 = 696.3\nt0 = n1 / n0\nt1 = n2 - t0\nt2 = t1 - t0\nt3 = t2 * 100.0\nanswer = t3 / t0\nprint(answer)" - ], - "Output Answer": [ - "10.999999999999986" - ], - "split": "train" - }, - { - "Input": "a certain tire company can produce tires at a cost of $ 22500 per batch plus $ 8 per tire . the company can sell tires to the wholesaler at a cost of $ 20 per tire . if a batch of 15000 tires is produced and sold , what is the company \u2019 s profit per tire ?", - "Output Program": [ - "n0 = 22500.0\nn1 = 8.0\nn2 = 20.0\nn3 = 15000.0\nt0 = n2 * n3\nt1 = n1 * n3\nt2 = n0 + t1\nt3 = t0 - t2\nanswer = t3 / n3\nprint(answer)" - ], - "Output Answer": [ - "10.5" - ], - "split": "train" - }, - { - "Input": "a dealer offers a cash discount of 15 % and still makes a profit of 36 % when he further allows 25 articles to be sold at the cost price of 20 articles to a particular sticky bargainer . how much percent above the cost price were his articles listed ?", - "Output Program": [ - "n0 = 15.0\nn1 = 36.0\nn2 = 25.0\nn3 = 20.0\nt0 = n1 + 100.0\nt1 = n2 - n3\nt2 = 100.0 - n0\nt3 = t0 / 100.0\nt4 = t1 / n2\nt5 = t2 / 100.0\nt6 = 1.0 - t4\nt7 = t3 / t6\nt8 = t7 / t5\nt9 = t8 - 1.0\nanswer = t9 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "the regular price per can of a certain brand of soda is $ 0.60 . if the regular price per can is discounted 20 percent when the soda is purchased in 24 - can cases , what is the price of 72 cans of this brand of soda purchased in 24 - can cases ?", - "Output Program": [ - "n0 = 0.6\nn1 = 20.0\nn2 = 24.0\nn3 = 72.0\nn4 = 24.0\nt0 = n0 * n3\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nanswer = t2 * t0\nprint(answer)" - ], - "Output Answer": [ - "34.559999999999995" - ], - "split": "train" - }, - { - "Input": "the cost price of an article is 36 % of the marked price . calculate the gain percent after allowing a discount of 20 % .", - "Output Program": [ - "n0 = 36.0\nn1 = 20.0\nt0 = 100.0 - n1\nt1 = t0 / n0\nt2 = t1 - 1.0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "122.22222222222223" - ], - "split": "train" - }, - { - "Input": "a man buy a book in rs 50 & sale it rs 80 . what is the rate of profit ? ? ?", - "Output Program": [ - "n0 = 50.0\nn1 = 80.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "at what rate percent per annum will a sum of money double in 5 years .", - "Output Program": [ - "n0 = 5.0\n\nanswer = 100.0 / n0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "what will be the difference between simple and compound interest @ 10 % per annum on a sum of $ 1000 after 4 years ?", - "Output Program": [ - "n0 = 10.0\nn1 = 1000.0\nn2 = 4.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = n1 * t0\nt3 = n2 * t2\nt4 = t1**min(n2, 5)\nt5 = n1 * t4\nt6 = t5 - n1\nanswer = t6 - t3\nprint(answer)" - ], - "Output Answer": [ - "64.10000000000036" - ], - "split": "train" - }, - { - "Input": "if tim had lunch at $ 50.50 and he gave 20 % tip , how much did he spend ?", - "Output Program": [ - "n0 = 50.5\nn1 = 20.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "60.6" - ], - "split": "train" - }, - { - "Input": "mahesh marks an article 15 % above the cost price of rs . 540 . what must be his discount percentage if he sells it at rs . 460 ?", - "Output Program": [ - "n0 = 15.0\nn1 = 540.0\nn2 = 460.0\nt0 = n0 + 100.0\nt1 = t0 / 100.0\nt2 = n1 * t1\nt3 = t2 - n2\nt4 = t3 * 100.0\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "25.925925925925927" - ], - "split": "train" - }, - { - "Input": "there are 1000 students in a school and among them 20 % of them attends chess class . 10 % of the students who are in the chess class are also enrolled for swimming . no other students are interested in swimming so how many will attend the swimming class if all enrolled attends ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 20.0\nn2 = 10.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n2 * t1\nanswer = t2 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "a reduction in the price of petrol by 10 % enables a motorist to buy 5 gallons more for $ 200 . find the original price of petrol ?", - "Output Program": [ - "n0 = 10.0\nn1 = 5.0\nn2 = 200.0\nt0 = n0 / 100.0\nt1 = 1.0 / 2.0\nt2 = 1.0 - t0\nt3 = n1 - t1\nt4 = n2 * t2\nt5 = n2 - t4\nanswer = t5 / t3\nprint(answer)" - ], - "Output Answer": [ - "4.444444444444445" - ], - "split": "train" - }, - { - "Input": "we had $ 2800 left after spending 30 % of the money that we took for shopping . how much money did we start with ?", - "Output Program": [ - "n0 = 2800.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "4000.0000000000005" - ], - "split": "train" - }, - { - "Input": "a cricket bat is sold for $ 850 , making a profit of $ 205 . the profit percentage would be", - "Output Program": [ - "n0 = 850.0\nn1 = 205.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "31.782945736434108" - ], - "split": "train" - }, - { - "Input": "a man buys an article for $ 10 . and sells it for $ 25 . find the gain percent ?", - "Output Program": [ - "n0 = 10.0\nn1 = 25.0\nt0 = n0 / 100.0\nt1 = n1 / t0\nanswer = t1 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "of the land owned by a farmer , 90 percent was cleared for planting . of the cleared land , 30 percent was planted with soybeans and 60 percent of the cleared land was planted with wheat . if the remaining 540 acres of cleared land was planted with corn , how many acres did the farmer own ?", - "Output Program": [ - "n0 = 90.0\nn1 = 30.0\nn2 = 60.0\nn3 = 540.0\nt0 = n0 / 100.0\nt1 = 100.0 - n1\nt2 = t1 - n2\nt3 = t2 / 100.0\nt4 = t3 * t0\nanswer = n3 / t4\nprint(answer)" - ], - "Output Answer": [ - "5999.999999999999" - ], - "split": "train" - }, - { - "Input": "a fellow borrowed a certain sum of money at 4 % per annum at simple interest and in 4 years the interest amounted to rs . 1260 less than the sum lent . what was the sum lent ?", - "Output Program": [ - "n0 = 4.0\nn1 = 4.0\nn2 = 1260.0\nt0 = n0 * n0\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "1500" - ], - "split": "train" - }, - { - "Input": "two numbers are 30 % and 37 % are less than a third number . how much percent is the second number less than the first ?", - "Output Program": [ - "n0 = 30.0\nn1 = 37.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = t0 - t1\nt3 = t2 / t0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "of the 600 residents of clermontville , 35 % watch the television show island survival , 40 % watch lovelost lawyers and 50 % watch medical emergency . if all residents watch at least one of these 3 shows and 18 % watch exactly 2 of these shows , then how many clermontville residents b watch all of the shows ?", - "Output Program": [ - "n0 = 600.0\nn1 = 35.0\nn2 = 40.0\nn3 = 50.0\nn4 = 3.0\nn5 = 18.0\nn6 = 2.0\nt0 = n2 / 100.0\nt1 = n3 / 100.0\nt2 = n1 / 100.0\nt3 = n5 / 100.0\nt4 = n0 * t0\nt5 = n0 * t1\nt6 = n0 * t2\nt7 = n0 * t3\nt8 = t4 + t5\nt9 = t8 + t6\nt10 = t9 - n0\nt11 = t10 - t7\nanswer = t11 / n6\nprint(answer)" - ], - "Output Answer": [ - "21" - ], - "split": "train" - }, - { - "Input": "each month , after jill pays for rent , utilities , food , and other necessary expenses , she has one fifth of her net monthly salary left as discretionary income . of this discretionary income , she puts 30 % into a vacation fund , 20 % into savings , and spends 35 % on eating out and socializing . this leaves her with $ 105 dollar , which she typically uses for gifts and charitable causes . what is jill \u2019 s net monthly salary ?", - "Output Program": [ - "n0 = 30.0\nn1 = 20.0\nn2 = 35.0\nn3 = 105.0\nt0 = n0 + n1\nt1 = 2.0 + 3.0\nt2 = n2 + t0\nt3 = t1 * 100.0\nt4 = 100.0 - t2\nt5 = n3 / t4\nanswer = t5 * t3\nprint(answer)" - ], - "Output Answer": [ - "3500" - ], - "split": "train" - }, - { - "Input": "company kw is being sold , and both company a and company b were considering the purchase . the price of company kw is 90 % more than company a has in assets , and this same price is also 100 % more than company b has in assets . if companies a and b were to merge and combine their assets , the price of company kw would be approximately what percent of these combined assets ?", - "Output Program": [ - "n0 = 90.0\nn1 = 100.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nt2 = n1 + t1\nt3 = t0 / t2\nanswer = t3 * n1\nprint(answer)" - ], - "Output Answer": [ - "97.43589743589743" - ], - "split": "train" - }, - { - "Input": "if $ 200 invested at a certain rate of simple interest amounts to $ 240 at the end of 3 years , how much will $ 150 amount to at the same rate of interest in 6 years ?", - "Output Program": [ - "n0 = 200.0\nn1 = 240.0\nn2 = 3.0\nn3 = 150.0\nn4 = 6.0\nt0 = n3 * n4\nt1 = n1 - n0\nt2 = t1 * n0\nt3 = t2 / n0\nt4 = t3 / n2\nt5 = t4 * t0\nt6 = t5 / n0\nanswer = n3 + t6\nprint(answer)" - ], - "Output Answer": [ - "210" - ], - "split": "train" - }, - { - "Input": "a man sold 20 articles for $ 60 and gained 20 % . how many articles should he sell for $ 60 to incur a loss 20 % ?", - "Output Program": [ - "n0 = 20.0\nn1 = 60.0\nn2 = 20.0\nn3 = 60.0\nn4 = 20.0\nt0 = n1 * 100 / (100 + n0) # original_price_before gain\nt1 = n3 * 100 / (100 + 1e-5 - n0) # original price before loss\nt2 = t0 / n0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "29.99999625000047" - ], - "split": "train" - }, - { - "Input": "a candidate got 35 % of the votes and lost to the rival by 1800 votes . how many votes were cast ?", - "Output Program": [ - "n0 = 35.0\nn1 = 1800.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "5999.999999999999" - ], - "split": "train" - }, - { - "Input": "a chemist mixes one liter of pure water with x liters of a 60 % salt solution , and the resulting mixture is a 10 % salt solution . what is the value of x ?", - "Output Program": [ - "n0 = 60.0\nn1 = 10.0\nt0 = n0 - n1\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "0.2" - ], - "split": "train" - }, - { - "Input": "the price of a tv was increased by 30 percent . the new price was then increased by 20 percent . a single increase of what percent is equivalent to these two successive increases ?", - "Output Program": [ - "n0 = 30.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "56.00000000000001" - ], - "split": "train" - }, - { - "Input": "a man took a loan at rate of 12 % per annum simple interest . after 3 years he had to pay 4320 interest . the principal amount borrowed by him was .", - "Output Program": [ - "n0 = 12.0\nn1 = 3.0\nn2 = 4320.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "12000" - ], - "split": "train" - }, - { - "Input": "michelle deposited a certain sum of money in a savings account on july 1 st , 2007 . she earns an 6.4 % interest compounded semiannually . the sum of money in the account on december 31 st , 2009 is approximately what percent of the initial deposit ?", - "Output Program": [ - "n0 = 1.0\nn1 = 2007.0\nn2 = 6.4\nn3 = 31.0\nn4 = 2009.0\nt0 = 2.0 + 3.0\nt1 = n2 / 100.0\nt2 = t1 / 2.0\nt3 = t2 + 1.0\nt4 = t3**min(t0, 5)\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "117.05729564344323" - ], - "split": "train" - }, - { - "Input": "a certain maroon paint contains 50 percent blue pigment and 50 percent red pigment by weight . a certain green paint contains 30 percent blue pigment and 70 percent yellow pigment . when these paints are mixed to produce a brown paint , the brown paint contains 40 percent blue pigment . if the brown paint weighs 10 grams , then the red pigment contributes how many grams of that weight ?", - "Output Program": [ - "n0 = 50.0\nn1 = 50.0\nn2 = 30.0\nn3 = 70.0\nn4 = 40.0\nn5 = 10.0\nt0 = 100.0 + 100.0\nt1 = n0 / t0\nanswer = t1 * 10.0\nprint(answer)" - ], - "Output Answer": [ - "2.5" - ], - "split": "train" - }, - { - "Input": "a person lent a certain sum of money at 5 % per annum at simple interest and in 8 years the interest amounted to $ 360 less than the sum lent . what was the sum lent ?", - "Output Program": [ - "n0 = 5.0\nn1 = 8.0\nn2 = 360.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "because he \u2019 s taxed by his home planet , mork pays a tax rate of 40 % on his income , while mindy pays a rate of only 25 % on hers . if mindy earned 4 times as much as mork did , what was their combined tax rate ?", - "Output Program": [ - "n0 = 40.0\nn1 = 25.0\nn2 = 4.0\nt0 = n2 + 1.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = n2 * t2\nt4 = t1 + t3\nt5 = t4 / t0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "27.999999999999996" - ], - "split": "train" - }, - { - "Input": "if the annual increase in the population of a town is 10 % and the present number of people is 12000 , what will the population be in 2 years ?", - "Output Program": [ - "n0 = 10.0\nn1 = 12000.0\nn2 = 2.0\nt0 = n0 + 100.0\nt1 = t0 / 100.0\nt2 = n1 * t1\nanswer = t1 * t2\nprint(answer)" - ], - "Output Answer": [ - "14520.000000000004" - ], - "split": "train" - }, - { - "Input": "how much more would rs . 60000 fetch , after two years , if it is put at 20 % p . a . compound interest payable half yearly than if is put at 20 % p . a . compound interest payable yearly ?", - "Output Program": [ - "n0 = 60000.0\nn1 = 20.0\nn2 = 20.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t0 / 2.0\nt3 = t2 + 1.0\nt4 = t1**min(2.0, 5)\nt5 = n0 * t4\nt6 = t3**min(4.0, 5)\nt7 = n0 * t6\nanswer = t7 - t5\nprint(answer)" - ], - "Output Answer": [ - "1446.000000000029" - ], - "split": "train" - }, - { - "Input": "ramu bought an old car for rs . 45000 . he spent rs . 12000 on repairs and sold it for rs . 80000 . what is his profit percent ?", - "Output Program": [ - "n0 = 45000.0\nn1 = 12000.0\nn2 = 80000.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40.35087719298245" - ], - "split": "train" - }, - { - "Input": "what is 1 percent of 12,356 ?", - "Output Program": [ - "n0 = 1.0\nn1 = 12356.0\nt0 = 2.0 + 3.0\nt1 = 3.0 + 4.0\nt2 = 3.0 + 3.0\nt3 = 3.0 * 4.0\nt4 = t0 * 2.0\nt5 = t3 * 100.0\nt6 = t1 * t0\nt7 = t4 * t5\nt8 = t6 * t4\nt9 = t7 + t8\nt10 = t9 + t2\nt11 = n0 * t10\nanswer = t11 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "123.56" - ], - "split": "train" - }, - { - "Input": "a sells a bicycle to b at a profit of 30 % and b sells it to c at a loss of 20 % . find the resultant profit or loss .", - "Output Program": [ - "n0 = 30.0\nn1 = 20.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "4.0000000000000036" - ], - "split": "train" - }, - { - "Input": "a $ 500 investment and a $ 1,500 investment have a combined yearly return of 8.5 percent of the total of the two investments . if the $ 500 investment has a yearly return of 7 percent , what percent yearly return does the $ 1 , 500 investment have ?", - "Output Program": [ - "n0 = 500.0\nn1 = 1500.0\nn2 = 8.5\nn3 = 500.0\nn4 = 7.0\nn5 = 1.0\nn6 = 500.0\nt0 = n2 / 100.0\nt1 = n4 / 100.0\nt2 = n0 * 3.0\nt3 = n0 + t2\nt4 = n0 * t1\nt5 = t3 * t0\nt6 = t5 - t4\nt7 = t6 / t2\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "9" - ], - "split": "train" - }, - { - "Input": "a car dealership has 40 cars on the lot , 10 % of which are silver . if the dealership receives a new shipment of 80 cars , 25 % of which are not silver , what percentage of total number of cars are silver ?", - "Output Program": [ - "n0 = 40.0\nn1 = 10.0\nn2 = 80.0\nn3 = 25.0\nt0 = n0 + n2\nt1 = n1 / 100.0\nt2 = n3 / 100.0\nt3 = n0 * t1\nt4 = n2 * t2\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "a man sold 18 toys for rs . 16800 , gaining thereby the cost price of 3 toy find the cost price of a toy", - "Output Program": [ - "n0 = 18.0\nn1 = 16800.0\nn2 = 3.0\nt0 = n0 + n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "train" - }, - { - "Input": "at what price must an article costing rs . 100 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 25 % on the cost price ?", - "Output Program": [ - "n0 = 100.0\nn1 = 5.0\nn2 = 25.0\nt0 = n0 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 + t2\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "131.57894736842104" - ], - "split": "train" - }, - { - "Input": "the cost price of an article is 70 % of the marked price . calculate the gain percent after allowing a discount of 10 % .", - "Output Program": [ - "n0 = 70.0\nn1 = 10.0\nt0 = 100.0 - n1\nt1 = t0 / n0\nt2 = t1 - 1.0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "28.57142857142858" - ], - "split": "train" - }, - { - "Input": "a man can row downstream at the rate of 45 kmph and upstream at 23 kmph . find the man \u2019 s rate in still water and rate of current ?", - "Output Program": [ - "n0 = 45.0\nn1 = 23.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "11" - ], - "split": "train" - }, - { - "Input": "an error 5 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is", - "Output Program": [ - "n0 = 5.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "10.25" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sells 200 metres of cloth for rs . 12000 at a loss of rs . 6 per metre . find his cost price for one metre of cloth ?", - "Output Program": [ - "n0 = 200.0\nn1 = 12000.0\nn2 = 6.0\nt0 = n1 / n0\nanswer = n2 + t0\nprint(answer)" - ], - "Output Answer": [ - "66" - ], - "split": "train" - }, - { - "Input": "a salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100 . if the sale price of each machine was $ 10,000 and the salesperson received a $ 42,000 commission , how many machines did she sell ?", - "Output Program": [ - "n0 = 3.0\nn1 = 100.0\nn2 = 4.0\nn3 = 100.0\nn4 = 10000.0\nn5 = 42000.0\nt0 = 3.0 + 4.0\nt1 = 1.0 + 4.0\nt2 = n0 / 100.0\nt3 = n2 / 100.0\nt4 = 2.0 * 3.0\nt5 = 100.0 * 100.0\nt6 = t0 * t4\nt7 = t1 * 2.0\nt8 = t2 * t5\nt9 = t3 * t5\nt10 = t6 * 100.0\nt11 = n1 * t8\nt12 = t10 * t7\nt13 = t12 - t11\nt14 = t13 / t9\nanswer = n1 + t14\nprint(answer)" - ], - "Output Answer": [ - "130" - ], - "split": "train" - }, - { - "Input": "the price of a car is marked at $ 12,000 . if the car has successive discounts of 20 % , 15 % and 5 % , then at what price does a customer buy the car ?", - "Output Program": [ - "n0 = 12000.0\nn1 = 20.0\nn2 = 15.0\nn3 = 5.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = n3 * 2.0\nt4 = 3.0 * 4.0\nt5 = t4 * 100.0\nt6 = t3 * t5\nt7 = t0 * t6\nt8 = t6 - t7\nt9 = t1 * t8\nt10 = t8 - t9\nt11 = t2 * t10\nanswer = t10 - t11\nprint(answer)" - ], - "Output Answer": [ - "7752" - ], - "split": "train" - }, - { - "Input": "a dealer offers a cash discount of 10 % and still makes a profit of 20 % when he further allows 45 articles to be sold at the cost price of 40 articles to a particular sticky bargainer . how much percent above the cost price were his articles listed ?", - "Output Program": [ - "n0 = 10.0\nn1 = 20.0\nn2 = 45.0\nn3 = 40.0\nt0 = n1 + 100.0\nt1 = n2 - n3\nt2 = 100.0 - n0\nt3 = t0 / 100.0\nt4 = t1 / n2\nt5 = t2 / 100.0\nt6 = 1.0 - t4\nt7 = t3 / t6\nt8 = t7 / t5\nt9 = t8 - 1.0\nanswer = t9 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a number with an interesting property : when i divide it by 2 , the remainder is 1 . when i divide it by 3 , the remainder is 2 . when i divide it by 4 , the remainder is 3 . when i divide it by 5 , the remainder is 4 . when i divide it by 6 , the remainder is 5 . when i divide it by 7 , the remainder is 6 . when i divide it by 8 , the remainder is 7 . when i divide it by 9 , the remainder is 8 . when i divide it by 10 , the remainder is 9 . it ' s not a small number , but it ' s not really big , either . when i looked for a smaller number with this property i could n ' t find one . can you find it ?", - "Output Program": [ - "import scipy\nn0 = 2.0\nn1 = 1.0\nn2 = 3.0\nn3 = 2.0\nn4 = 4.0\nn5 = 3.0\nn6 = 5.0\nn7 = 4.0\nn8 = 6.0\nn9 = 5.0\nn10 = 7.0\nn11 = 6.0\nn12 = 8.0\nn13 = 7.0\nn14 = 9.0\nn15 = 8.0\nn16 = 10.0\nn17 = 9.0\nt0 = scipy.lcm(int(n14), int(n16))\nt1 = scipy.lcm(int(n10), int(t0))\nt2 = n0 * t1\nt3 = n0 * t2\nanswer = t3 - 1.0\nprint(answer)" - ], - "Output Answer": [ - "2519" - ], - "split": "train" - }, - { - "Input": "the percentage profit earned by selling an article for rs . 1520 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 25 % profit ?", - "Output Program": [ - "n0 = 1520.0\nn1 = 1280.0\nn2 = 25.0\nt0 = n2 + 100.0\nt1 = n0 + n1\nt2 = t0 / 100.0\nt3 = t1 / 2.0\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "1750" - ], - "split": "train" - }, - { - "Input": "the simple interest on a certain sum of money at the rate of 5 % p . a . for 8 years is rs . 840 . at what rate of intrest the same amount of interest can be received on the same sum after 5 years .", - "Output Program": [ - "n0 = 5.0\nn1 = 8.0\nn2 = 840.0\nn3 = 5.0\nt0 = n2 / n0\nt1 = n2 / n1\nt2 = n0 / 100.0\nt3 = t1 / t2\nt4 = t0 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "fresh grapes contain 70 % by weight while dried grapes contain 10 % water by weight . what is the weight of dry grapes available from 100 kg of fresh grapes ?", - "Output Program": [ - "n0 = 70.0\nn1 = 10.0\nn2 = 100.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = n2 * t0\nt3 = t2 / 100.0\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "train" - }, - { - "Input": "jim is able to sell a hand - carved statue for $ 540 which was a 35 % profit over his cost . how much did the statue originally cost him ?", - "Output Program": [ - "n0 = 540.0\nn1 = 35.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "rs . 800 becomes rs . 956 in 3 years at a certain rate of simple interest . if the rate of interest is increased by 4 % , what amount will rs . 800 become in 3 years .", - "Output Program": [ - "n0 = 800.0\nn1 = 956.0\nn2 = 3.0\nn3 = 4.0\nn4 = 800.0\nn5 = 3.0\nt0 = n0 * n2\nt1 = n1 - n0\nt2 = t1 * 100.0\nt3 = t2 / t0\nt4 = n3 + t3\nt5 = n0 * t4\nt6 = n2 * t5\nt7 = t6 / 100.0\nanswer = n0 + t7\nprint(answer)" - ], - "Output Answer": [ - "1052" - ], - "split": "train" - }, - { - "Input": "the population of a town is 10000 . it decreases annually at the rate of 10 % p . a . what will be its population after 2 years ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 10.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n0 - t1\nt3 = t0 * t2\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "8100" - ], - "split": "train" - }, - { - "Input": "a person distributed 15 % of his income to his 3 children each . he deposited 30 % of his income to his wife ' s account . he donated 5 % of remaining amount to an orphan house . finally he has $ 40000 . find his total income ?", - "Output Program": [ - "n0 = 15.0\nn1 = 3.0\nn2 = 30.0\nn3 = 5.0\nn4 = 40000.0\nt0 = n0 * n1\nt1 = n2 + t0\nt2 = n3 + t1\nt3 = 100.0 - t2\nt4 = n4 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "200000" - ], - "split": "train" - }, - { - "Input": "if the given two numbers are respectively 6 % and 30 % of a third number , then what percentage is the first of the second ?", - "Output Program": [ - "n0 = 6.0\nn1 = 30.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "if the simple interest on a certain sum of money for 5 years is one \u2013 fifth of the sum , then the rate of interest per annum is", - "Output Program": [ - "n0 = 5.0\nt0 = 1.0 + 4.0\nt1 = 100.0 / t0\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "tom opened a shop investing rs . 30000 . jose joined him 2 months later , investing rs . 45000 . they earned a profit of rs . 72000 after completion of one year . what will be jose ' s share of profit ?", - "Output Program": [ - "n0 = 30000.0\nn1 = 2.0\nn2 = 45000.0\nn3 = 72000.0\nt0 = n1 * 3.0\nt1 = t0 * n1\nt2 = n0 * t1\nt3 = t1 - n1\nt4 = n2 * t3\nt5 = t4 + t2\nt6 = t2 / t5\nt7 = 1.0 - t6\nanswer = n3 * t7\nprint(answer)" - ], - "Output Answer": [ - "40000" - ], - "split": "train" - }, - { - "Input": "a , b and c started a partnership business by investing rs . 27000 , rs . 72000 , rs . 81000 respectively . at the end of the year , the profit were distributed among them . if c ' s share of profit is 36000 , what is the total profit ?", - "Output Program": [ - "n0 = 27000.0\nn1 = 72000.0\nn2 = 81000.0\nn3 = 36000.0\nt0 = n0 / n2\nt1 = n1 / n2\nt2 = n3 * t0\nt3 = n3 * t1\nt4 = t2 + t3\nanswer = n3 + t4\nprint(answer)" - ], - "Output Answer": [ - "80000" - ], - "split": "train" - }, - { - "Input": "shop offered 32 % offer for every shirt , smith bought a shirt at rs . 650 . and what was the shop ' s original selling price ?", - "Output Program": [ - "n0 = 32.0\nn1 = 650.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "955.8823529411766" - ], - "split": "train" - }, - { - "Input": "each of the cucumbers in 100 pounds of cucumbers is composed of 99 % water , by weight . after some of the water evaporates , the cucumbers are now 96 % water by weight . what is the new weight of the cucumbers , in pounds ?", - "Output Program": [ - "n0 = 100.0\nn1 = 99.0\nn2 = 96.0\nt0 = n0 - n1\nt1 = n0 - n2\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "redo \u2019 s manufacturing costs for sets of horseshoes include a $ 10,000 initial outlay , and $ 20 per set . they can sell the sets $ 50 . if profit is revenue from sales minus manufacturing costs , and the company producessells 500 sets of horseshoes , what was their profit ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 20.0\nn2 = 50.0\nn3 = 500.0\nt0 = n1 * 2.0\nt1 = n2 - t0\nanswer = n3 * t1\nprint(answer)" - ], - "Output Answer": [ - "5000" - ], - "split": "train" - }, - { - "Input": "a dishonest dealer professes to sell goods at the cost price but uses a weight of 700 grams per kg , what is his percent ?", - "Output Program": [ - "n0 = 700.0\nt0 = 2.0 + 3.0\nt1 = 100.0 / n0\nt2 = t0 * 2.0\nt3 = t2 * 100.0\nt4 = t1 * t3\nanswer = t4 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "42.85714285714286" - ], - "split": "train" - }, - { - "Input": "a sum of rs . 2665 is lent into two parts so that the interest on the first part for 8 years at 3 % per annum may be equal to the interest on the second part for 3 years at 5 % per annum . find the second sum ?", - "Output Program": [ - "n0 = 2665.0\nn1 = 8.0\nn2 = 3.0\nn3 = 3.0\nn4 = 5.0\nt0 = n2 * n4\nt1 = n1 * n2\nt2 = t0 + t1\nt3 = n0 * t0\nt4 = t3 / t2\nanswer = n0 - t4\nprint(answer)" - ], - "Output Answer": [ - "1640" - ], - "split": "train" - }, - { - "Input": "a certain sum is invested at simple interest at 18 % p . a . for two years instead of investing at 12 % p . a . for the same time period . therefore the interest received is more by rs . 240 . find the sum ?", - "Output Program": [ - "n0 = 18.0\nn1 = 12.0\nn2 = 240.0\nt0 = n0 - n1\nt1 = t0 * 2.0\nt2 = t1 / 100.0\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "2000" - ], - "split": "train" - }, - { - "Input": "one fourth of a solution that was 13 % salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight . the second solution was what percent salt by weight ?", - "Output Program": [ - "n0 = 13.0\nn1 = 16.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 * 4.0\nt3 = t1 * 4.0\nt4 = t3 - t1\nt5 = t2 - t4\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "what is the compound interest on rs : 30,000 for 4 months at the rate of 5 % per annum", - "Output Program": [ - "n0 = 30000.0\nn1 = 4.0\nn2 = 5.0\nt0 = 100.0 * 3.0\nt1 = 3.0 * 4.0\nt2 = n1 / t1\nt3 = t0 * 100.0\nt4 = n2 * t2\nt5 = t3 * t4\nanswer = t5 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "499.99999999999994" - ], - "split": "train" - }, - { - "Input": "an empty fuel tank with a capacity of 208 gallons was filled partially with fuel a and then to capacity with fuel b . fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume . if the full fuel tank contains 30 gallons of ethanol , how many gallons of fuel a were added ?", - "Output Program": [ - "n0 = 208.0\nn1 = 12.0\nn2 = 16.0\nn3 = 30.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 * t0\nt3 = t0 - t1\nt4 = t2 - n3\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "82.00000000000001" - ], - "split": "train" - }, - { - "Input": "an error 2.5 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is", - "Output Program": [ - "n0 = 2.5\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "5.0625" - ], - "split": "train" - }, - { - "Input": "the difference between simple and compound interest on rs . 1500 for one year at 10 % per annum reckoned half - yearly is ?", - "Output Program": [ - "n0 = 1500.0\nn1 = 10.0\nt0 = n1 / 2.0\nt1 = n1 / 100.0\nt2 = t1 + 1.0\nt3 = t0 / 100.0\nt4 = t3 + 1.0\nt5 = t4**min(2.0, 5)\nt6 = t5 - t2\nanswer = n0 * t6\nprint(answer)" - ], - "Output Answer": [ - "3.74999999999992" - ], - "split": "train" - }, - { - "Input": "in a graduate physics course , 70 percent of the students are male and 30 percent of the students are married . if one - sevenths of the male students are married , what fraction of the female students is single ?", - "Output Program": [ - "n0 = 70.0\nn1 = 30.0\n\nanswer = 10.0 / n1\nprint(answer)" - ], - "Output Answer": [ - "0.3333333333333333" - ], - "split": "train" - }, - { - "Input": "if 40 % of a certain number is 160 , then what is 30 % of that number ?", - "Output Program": [ - "n0 = 40.0\nn1 = 160.0\nn2 = 30.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 / t0\nanswer = t2 * t1\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "find the missing figures : 0.1 % of ? = 0.24", - "Output Program": [ - "n0 = 0.1\nn1 = 0.24\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "240" - ], - "split": "train" - }, - { - "Input": "according to a recent student poll , 3 / 4 out of 20 members of the finance club are interested in a career in investment banking . if two students are chosen at random , what is the probability that at least one of them is interested in investment banking ?", - "Output Program": [ - "import scipy\nn0 = 3.0\nn1 = 4.0\nn2 = 20.0\nt0 = scipy.special.comb(n2, 2.0)\nt1 = n0 / n1\nt2 = n2 * t1\nt3 = n2 - t2\nt4 = scipy.special.comb(t3, 2.0)\nt5 = t0 - t4\nanswer = t5 / t0\nprint(answer)" - ], - "Output Answer": [ - "0.9473684210526315" - ], - "split": "train" - }, - { - "Input": "in one hour , a boat goes 6 km along the stream and 2 km against the stream . the sped of the boat in still water ( in km / hr ) is :", - "Output Program": [ - "n0 = 6.0\nn1 = 2.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "4 / 6 of the population of the country of venezia lives in montague province , while the rest lives in capulet province . in the upcoming election , 80 % of montague residents support romeo , while 70 % of capulet residents support juliet ; each resident of venezia supports exactly one of these two candidates . rounded if necessary to the nearest percent , the probability that a juliet supporter chosen at random resides in capulet is", - "Output Program": [ - "n0 = 4.0\nn1 = 6.0\nn2 = 80.0\nn3 = 70.0\nt0 = n3 / 100.0\nt1 = n0 / n1\nt2 = n1 - n0\nt3 = 100.0 - n2\nt4 = t2 / n1\nt5 = t3 / 100.0\nt6 = t0 * t4\nt7 = t5 * t1\nt8 = t7 + t6\nt9 = t6 / t8\nanswer = t9 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "63.63636363636363" - ], - "split": "train" - }, - { - "Input": "alfred buys an old scooter for $ 4400 and spends $ 800 on its repairs . if he sells the scooter for $ 5800 , his gain percent is ?", - "Output Program": [ - "n0 = 4400.0\nn1 = 800.0\nn2 = 5800.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "11.538461538461538" - ], - "split": "train" - }, - { - "Input": "a book is bought for $ 60 and sold for $ 63 . what is the profit in percentage ?", - "Output Program": [ - "n0 = 60.0\nn1 = 63.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "in the science city , kolkata the rate of the ticket is increased by 50 % to increased the revenue but simultaneously 20 % of the visitor decreased . what is percentage change in the revenue . if it is known that the science city collects one revenue only from the visitors and it has no other financial supports :", - "Output Program": [ - "n0 = 50.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = 100.0 * 100.0\nt2 = 100.0 - n1\nt3 = t0 * t2\nt4 = t3 - t1\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "john makes $ 50 a week from his job . he earns a raise and now makes $ 80 a week . what is the % increase ?", - "Output Program": [ - "n0 = 50.0\nn1 = 80.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "a pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer \u2019 s suggested retail price . if during a sale , the store discounts an additional 20 percent from the discount price , what would be the lowest possible price of a container of pet food that had a manufacturer \u2019 s suggested retail price o f $ 45.00 ?", - "Output Program": [ - "n0 = 10.0\nn1 = 30.0\nn2 = 20.0\nn3 = 45.0\nt0 = 100.0 - n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = n3 * t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "25.2" - ], - "split": "train" - }, - { - "Input": "if it is assumed that 65 percent of those who receive a questionnaire by mail will respond and 300 responses are needed , what is the minimum number of questionnaires that should be mailed ?", - "Output Program": [ - "n0 = 65.0\nn1 = 300.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "461.53846153846155" - ], - "split": "train" - }, - { - "Input": "a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $ 200 . if a store employee applied the 25 percent employee discount to the retail price to buy the recorder , how much did the employee pay for the recorder ?", - "Output Program": [ - "n0 = 20.0\nn1 = 200.0\nn2 = 25.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n1 + t1\nt3 = t2 / 100.0\nt4 = n2 * t3\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "180" - ], - "split": "train" - }, - { - "Input": "in a certain pond , 50 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 10 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?", - "Output Program": [ - "n0 = 50.0\nn1 = 50.0\nn2 = 10.0\nt0 = n2 / n1\nanswer = n0 / t0\nprint(answer)" - ], - "Output Answer": [ - "250" - ], - "split": "train" - }, - { - "Input": "the sale price shirts listed for rs . 400 after successive discount is 10 % and 5 % is ?", - "Output Program": [ - "n0 = 400.0\nn1 = 10.0\nn2 = 5.0\nt0 = n0 * n1\nt1 = n0 * n2\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 + t3\nanswer = n0 - t4\nprint(answer)" - ], - "Output Answer": [ - "340" - ], - "split": "train" - }, - { - "Input": "a invested $ 300 in a business after 6 months b invested $ 200 in the business . end of the year if they got $ 100 as profit . find a shares ?", - "Output Program": [ - "n0 = 300.0\nn1 = 6.0\nn2 = 200.0\nn3 = 100.0\nt0 = n2 / 2.0\nt1 = n0 + t0\nt2 = t0 / t1\nt3 = 1.0 - t2\nanswer = n3 * t3\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "train" - }, - { - "Input": "a group of boy scouts and girls scouts is going on a rafting trip . 80 % of the scouts arrived with signed permission slips . if 40 % of the scouts were boy scouts and 75 % of the boy scouts arrived with signed permission slips , then what percentage of the girl scouts arrived with signed permission slips ? round to the nearest percent .", - "Output Program": [ - "n0 = 80.0\nn1 = 40.0\nn2 = 75.0\nt0 = n1 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 - t2\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "83.33333333333334" - ], - "split": "train" - }, - { - "Input": "a sum fetched a total simple interest of rs . 4016.25 at the rate of 1 % p . a . in 3 years . what is the sum ?", - "Output Program": [ - "n0 = 4016.25\nn1 = 1.0\nn2 = 3.0\nt0 = n0 * 100.0\nt1 = t0 / n1\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "133875" - ], - "split": "train" - }, - { - "Input": "a side of beef lost 20 percent of its weight in processing . if the side of beef weighed 640 pounds after processing , how many pounds did it weigh before processing ?", - "Output Program": [ - "n0 = 20.0\nn1 = 640.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "train" - }, - { - "Input": "selling an kite for rs . 30 , a shop keeper gains 30 % . during a clearance sale , the shopkeeper allows a discount of 10 % on the marked price . his gain percent during the sale is ?", - "Output Program": [ - "n0 = 30.0\nn1 = 30.0\nn2 = 10.0\nt0 = n1 + 100.0\nt1 = n0 / 100.0\nt2 = n0 * 100.0\nt3 = 100.0 - n2\nt4 = t2 / t0\nt5 = t1 * t3\nt6 = t5 - t4\nt7 = t6 / t4\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "17" - ], - "split": "train" - }, - { - "Input": "the manufacturing cost of a shoe is rs . 220 and the transportation lost is rs . 500 for 100 shoes . what will be the selling price if it is sold at 20 % gains", - "Output Program": [ - "n0 = 220.0\nn1 = 500.0\nn2 = 100.0\nn3 = 20.0\nt0 = n1 / n2\nt1 = n3 / n2\nt2 = n0 + t0\nt3 = t2 * t1\nanswer = t2 + t3\nprint(answer)" - ], - "Output Answer": [ - "270" - ], - "split": "train" - }, - { - "Input": "evaluate : 28 % of 400 + 45 % of 250", - "Output Program": [ - "n0 = 28.0\nn1 = 400.0\nn2 = 45.0\nn3 = 250.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nanswer = t2 + t3\nprint(answer)" - ], - "Output Answer": [ - "224.5" - ], - "split": "train" - }, - { - "Input": "a lent rs . 5000 to b for 2 years and rs . 3000 to c for 4 years on simple interest at the same rate of interest and received rs . 2200 in all from both of them as interest . the rate of interest per annum is :", - "Output Program": [ - "n0 = 5000.0\nn1 = 2.0\nn2 = 3000.0\nn3 = 4.0\nn4 = 2200.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 + t1\nt3 = n4 / t2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "daniel went to a shop and bought things worth rs . 25 , out of which 30 paise went on sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ?", - "Output Program": [ - "n0 = 25.0\nn1 = 30.0\nn2 = 6.0\nt0 = n1 / 100.0\nt1 = n1 / n2\nt2 = n0 - t0\nanswer = t2 - t1\nprint(answer)" - ], - "Output Answer": [ - "19.7" - ], - "split": "train" - }, - { - "Input": "a , b and c are entered into a partnership . a invested rs . 6500 for 6 months , b invested rs . 8400 for 5 months and c invested for rs . 10000 for 3 months . a is a working partner and gets 5 % of the total profit for the same . find the share of c in a total profit of rs . 7400 .", - "Output Program": [ - "n0 = 6500.0\nn1 = 6.0\nn2 = 8400.0\nn3 = 5.0\nn4 = 10000.0\nn5 = 3.0\nn6 = 5.0\nn7 = 7400.0\nt0 = n4 * n5\nt1 = n3 * n7\nt2 = n0 * n1\nt3 = n2 * n3\nt4 = t2 + t3\nt5 = t1 / 100.0\nt6 = t4 + t0\nt7 = n7 - t5\nt8 = t0 * t7\nanswer = t8 / t6\nprint(answer)" - ], - "Output Answer": [ - "1900" - ], - "split": "train" - }, - { - "Input": "at what rate percent on simple interest will rs . 750 amount to rs . 900 in 4 years ?", - "Output Program": [ - "n0 = 750.0\nn1 = 900.0\nn2 = 4.0\nt0 = n1 - n0\nt1 = t0 / n0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "suresh started a business , investing rs . 18000 . after 3 months and 4 months respectively , rohan and sudhir joined him with capitals of 12000 and 9000 . at the end of the year the total profit was rs . 3960 . what is the difference between rohan \u2019 s and sudhir \u2019 s share in the profit ?", - "Output Program": [ - "n0 = 18000.0\nn1 = 3.0\nn2 = 4.0\nn3 = 12000.0\nn4 = 9000.0\nn5 = 3960.0\nt0 = n1 * n2\nt1 = t0 - n1\nt2 = t0 - n2\nt3 = t1 / t0\nt4 = t2 / t0\nt5 = n3 * t3\nt6 = n4 * t4\nt7 = n0 + t5\nt8 = t5 - t6\nt9 = t7 + t6\nt10 = n5 / t9\nanswer = t10 * t8\nprint(answer)" - ], - "Output Answer": [ - "360" - ], - "split": "train" - }, - { - "Input": "if 20 % of a certain number is 60 , then what is 80 % of that number ?", - "Output Program": [ - "n0 = 20.0\nn1 = 60.0\nn2 = 80.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 / t0\nanswer = t2 * t1\nprint(answer)" - ], - "Output Answer": [ - "240" - ], - "split": "train" - }, - { - "Input": "a customer went to a shop and paid a total of $ 30 , out of which $ 1.28 was for sales tax on taxable purchases . if the tax rate was 8 % , then what was the cost of the tax free items ?", - "Output Program": [ - "n0 = 30.0\nn1 = 1.28\nn2 = 8.0\nt0 = n2 * 2.0\nt1 = n0 - n1\nanswer = t1 - t0\nprint(answer)" - ], - "Output Answer": [ - "12.719999999999999" - ], - "split": "train" - }, - { - "Input": "a retailer bought a machine at a wholesale price of $ 90 and later on sold it after a 10 % discount of the retail price . if the retailer made a profit equivalent to 20 % of the whole price , what is the retail price w of the machine ?", - "Output Program": [ - "n0 = 90.0\nn1 = 10.0\nn2 = 20.0\nt0 = n0 * n2\nt1 = 3.0 * 3.0\nt2 = t0 / 100.0\nt3 = n1 * t1\nt4 = n0 + t2\nt5 = t4 * 100.0\nanswer = t5 / t3\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "350 is increased by 50 % . find the final number .", - "Output Program": [ - "n0 = 350.0\nn1 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "525" - ], - "split": "train" - }, - { - "Input": "because he \u2019 s taxed by his home planet , mork pays a tax rate of 45 % on his income , while mindy pays a rate of only 15 % on hers . if mindy earned 4 times as much as mork did , what was their combined tax rate ?", - "Output Program": [ - "n0 = 45.0\nn1 = 15.0\nn2 = 4.0\nt0 = n2 + 1.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = n2 * t2\nt4 = t1 + t3\nt5 = t4 / t0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "21.000000000000004" - ], - "split": "train" - }, - { - "Input": "a portion of the 80 % solution of chemicals was replaced with an equal amount of 20 % solution of chemicals . as a result , 50 % solution of chemicals resulted . what part of the original solution was replaced ?", - "Output Program": [ - "n0 = 80.0\nn1 = 20.0\nn2 = 50.0\nt0 = n0 - n2\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.5" - ], - "split": "train" - }, - { - "Input": "last year sandy saved 10 % of her annual salary . this year , she made 10 % more money than last year , and she saved 15 % of her salary . the amount saved this year was what percent of the amount she saved last year ?", - "Output Program": [ - "n0 = 10.0\nn1 = 10.0\nn2 = 15.0\nt0 = n1 + 100.0\nt1 = n2 / 100.0\nt2 = n0 * 100.0\nt3 = t2 / 100.0\nt4 = t0 * t1\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "165" - ], - "split": "train" - }, - { - "Input": "at what price must an article costing rs . 47.50 be marked in order that after deducting 9 % from the list price . it may be sold at a profit of 25 % on the cost price ?", - "Output Program": [ - "n0 = 47.5\nn1 = 9.0\nn2 = 25.0\nt0 = n0 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 + t2\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "65.24725274725274" - ], - "split": "train" - }, - { - "Input": "a fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans . a customer bought the pair of jeans for 15 percent more than the retailer paid for them . the price the customer paid was what percent greater than the cost of manufacturing the jeans ?", - "Output Program": [ - "n0 = 40.0\nn1 = 15.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t3 * 100.0\nt5 = t2 * t4\nt6 = t5 / 100.0\nt7 = t6 - 1.0\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "61.00000000000001" - ], - "split": "train" - }, - { - "Input": "if each year the population of the country grows by 10 % , how many years will elapse before the population of the country doubles ?", - "Output Program": [ - "n0 = 10.0\n\nanswer = 4.0 + 4.0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "5 percent of a certain grass seed is timothy . if the amount of the mixture needed to plant one acre contains 2 pounds of timothy , how many acres can be planted with 600 pounds of the seed mixture ?", - "Output Program": [ - "n0 = 5.0\nn1 = 2.0\nn2 = 600.0\nt0 = 100.0 / n0\nt1 = n1 * t0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "a sum fetched a total simple interest of 4016.25 at the rate of 9 % . p . a . in 5 years . what is the sum ?", - "Output Program": [ - "n0 = 4016.25\nn1 = 9.0\nn2 = 5.0\nt0 = n0 * 100.0\nt1 = t0 / n1\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "8925" - ], - "split": "train" - }, - { - "Input": "a student gets 50 % in one subject , 70 % in the other . to get an overall of 70 % how much should get in third subject .", - "Output Program": [ - "n0 = 50.0\nn1 = 70.0\nn2 = 70.0\nt0 = n0 + n1\nt1 = n2 * 3.0\nanswer = t1 - t0\nprint(answer)" - ], - "Output Answer": [ - "90" - ], - "split": "train" - }, - { - "Input": "a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 % . during the new year season , it further marked up its prices by 25 % of the original retail price . in february , the store then offered a discount of 18 % . what was its profit on the items sold in february ?", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nn2 = 18.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = 100.0 - n2\nt3 = t2 / 100.0\nt4 = t1 / 100.0\nt5 = t0 * t4\nt6 = t3 * t5\nanswer = t6 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "22.999999999999986" - ], - "split": "train" - }, - { - "Input": "in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 5500 , the number of valid votes that the other candidate got , was :", - "Output Program": [ - "n0 = 55.0\nn1 = 20.0\nn2 = 5500.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t2 * t3\nanswer = n2 * t4\nprint(answer)" - ], - "Output Answer": [ - "1980" - ], - "split": "train" - }, - { - "Input": "if the annual increase in the population of a town is 10 % and the present number of people is 14000 , what will the population be in 2 years ?", - "Output Program": [ - "n0 = 10.0\nn1 = 14000.0\nn2 = 2.0\nt0 = n0 + 100.0\nt1 = t0 / 100.0\nt2 = n1 * t1\nanswer = t1 * t2\nprint(answer)" - ], - "Output Answer": [ - "16940.000000000004" - ], - "split": "train" - }, - { - "Input": "the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 12 . if p invested the money for 5 months , find for how much time did q invest the money ?", - "Output Program": [ - "n0 = 7.0\nn1 = 5.0\nn2 = 7.0\nn3 = 12.0\nn4 = 5.0\nt0 = n0 / n1\nt1 = n3 / n2\nt2 = t0 * t1\nanswer = n4 * t2\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "train" - }, - { - "Input": "if the radius of a circle is decreased by 50 % , find the percentage decrease", - "Output Program": [ - "n0 = 50.0\nt0 = 100.0 / 100.0\nt1 = n0 / 100.0\nt2 = t0 - t1\nt3 = t2**min(2.0, 5)\nt4 = t0 - t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "train" - }, - { - "Input": "if 30 % of 100 is greater than 50 % of a number by 10 , then the number is ?", - "Output Program": [ - "n0 = 30.0\nn1 = 100.0\nn2 = 50.0\nn3 = 10.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 * t0\nt3 = t2 - n3\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sells 450 metres of cloth for rs . 18000 at a loss of rs . 5 per metre . find his cost price for one metre of cloth ?", - "Output Program": [ - "n0 = 450.0\nn1 = 18000.0\nn2 = 5.0\nt0 = n1 / n0\nanswer = n2 + t0\nprint(answer)" - ], - "Output Answer": [ - "45" - ], - "split": "train" - }, - { - "Input": "a light has a rating of 110 watts , it is replaced with a new light that has 30 % higher wattage . how many watts does the new light have ?", - "Output Program": [ - "n0 = 110.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "143" - ], - "split": "train" - }, - { - "Input": "milk contains 5 % water . what content of pure milk should be added to 10 liters of milk to reduce this to 2 % ?", - "Output Program": [ - "n0 = 5.0\nn1 = 10.0\nn2 = 2.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 * t0\nt3 = t2 / t1\nanswer = t3 - n1\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "60 percent of andrea ' s living room floor is covered by a carpet that is 4 feet by 9 feet . what is the area of her living room floor ?", - "Output Program": [ - "n0 = 60.0\nn1 = 4.0\nn2 = 9.0\nt0 = n0 / 100.0\nt1 = n1 * n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "a , b and c start a business with each investing rs 20000 . after 5 months a withdraws rs 5000 , b withdraws rs 4000 and c invests rs 6000 more . at the end of the year , a total profit of rs 69900 was recorded . find the share of a .", - "Output Program": [ - "n0 = 20000.0\nn1 = 5.0\nn2 = 5000.0\nn3 = 4000.0\nn4 = 6000.0\nn5 = 69900.0\nt0 = n2 / 10.0\nanswer = n0 + t0\nprint(answer)" - ], - "Output Answer": [ - "20500" - ], - "split": "train" - }, - { - "Input": "the c . p of 15 books is equal to the s . p of 20 books . find his gain % or loss % ?", - "Output Program": [ - "n0 = 15.0\nn1 = 20.0\nt0 = n0 / n1\nt1 = 1.0 - t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "tom opened a shop investing rs . 30000 . jose joined him 2 months later , investing rs . 45000 . they earned a profit of rs . 36000 after completion of one year . what will be jose ' s share of profit ?", - "Output Program": [ - "n0 = 30000.0\nn1 = 2.0\nn2 = 45000.0\nn3 = 36000.0\nt0 = n1 * 3.0\nt1 = t0 * n1\nt2 = n0 * t1\nt3 = t1 - n1\nt4 = n2 * t3\nt5 = t4 + t2\nt6 = t2 / t5\nt7 = 1.0 - t6\nanswer = n3 * t7\nprint(answer)" - ], - "Output Answer": [ - "20000" - ], - "split": "train" - }, - { - "Input": "in a certain math department , students are required to enroll in either calculus or trigonometry , each of which is offered in beginner and advanced courses . the number of students enrolled in trigonometry is 50 % greater than the number of students enrolled in calculus , and 70 % of calculus students are enrolled in the beginner course . if 4 / 5 of students are in the beginner courses , and one student is selected at random , what is the probability that a beginner trigonometry student is selected ?", - "Output Program": [ - "n0 = 50.0\nn1 = 70.0\nn2 = 4.0\nn3 = 5.0\nt0 = n2 / n3\nt1 = n0 * 2.0\nt2 = n0 + t1\nt3 = t2 + t1\nt4 = t3 * t0\nt5 = t4 - n1\nt6 = t5 / t3\nanswer = t6 * t1\nprint(answer)" - ], - "Output Answer": [ - "52" - ], - "split": "train" - }, - { - "Input": "in a recent election , geoff received 0.5 percent of the 6,000 votes cast . to win the election , a candidate needed to receive more than x % of the vote . if geoff needed exactly 3,000 more votes to win the election , what is the value of x ?", - "Output Program": [ - "n0 = 0.5\nn1 = 6000.0\nn2 = 3000.0\nt0 = 100.0 / 2.0\nanswer = n0 + t0\nprint(answer)" - ], - "Output Answer": [ - "50.5" - ], - "split": "train" - }, - { - "Input": "a portion of the 90 % solution of chemicals was replaced with an equal amount of 20 % solution of chemicals . as a result , 40 % solution of chemicals resulted . what part of the original solution was replaced ?", - "Output Program": [ - "n0 = 90.0\nn1 = 20.0\nn2 = 40.0\nt0 = n0 - n2\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.7142857142857143" - ], - "split": "train" - }, - { - "Input": "after decreasing 24 % in the price of an article costs rs . 532 . find the actual cost of an article ?", - "Output Program": [ - "n0 = 24.0\nn1 = 532.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "700" - ], - "split": "train" - }, - { - "Input": "a woman invested $ 1,000 , part at 5 % and the rest at 6 % . her total investment with interest at the end of the year was $ 1,054 . how much did she invest at 5 % ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 5.0\nn2 = 6.0\nn3 = 1054.0\nn4 = 5.0\nt0 = n1 * 2.0\nt1 = t0 * 100.0\nt2 = n1 * t0\nt3 = t2 + 4.0\nt4 = n1 * t1\nt5 = t3 + t1\nt6 = t5 - t1\nt7 = t6 * 100.0\nt8 = t7 - t4\nanswer = t1 - t8\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "what is the rate percent when the simple interest on rs . 800 amount to rs . 192 in 4 years ?", - "Output Program": [ - "n0 = 800.0\nn1 = 192.0\nn2 = 4.0\nt0 = n1 * 100.0\nt1 = n0 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "by selling an article at rs . 1000 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 25 % ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 25.0\nn2 = 25.0\nt0 = n1 + 100.0\nt1 = n0 * 100.0\nt2 = t1 / t0\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "the owner of a furniture shop charges his customer 25 % more than the cost price . if a customer paid rs . 8340 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 25.0\nn1 = 8340.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "6672" - ], - "split": "train" - }, - { - "Input": "in the manufacture of a certain product , 6 percent of the units produced are defective and 4 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?", - "Output Program": [ - "n0 = 6.0\nn1 = 4.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "0.24" - ], - "split": "train" - }, - { - "Input": "if the cost price of 40 articles is equal to the selling price of 25 articles , what is the % profit or loss made by the merchant ?", - "Output Program": [ - "n0 = 40.0\nn1 = 25.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = 100.0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "if 15 % of 30 % of 50 % of a number is 117 , then what is the number ?", - "Output Program": [ - "n0 = 15.0\nn1 = 30.0\nn2 = 50.0\nn3 = 117.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 / 100.0\nt3 = t1 * t2\nt4 = t0 * t3\nanswer = n3 / t4\nprint(answer)" - ], - "Output Answer": [ - "5200" - ], - "split": "train" - }, - { - "Input": "machine a produces 100 parts twice as fast as machine b does . machine b produces 100 parts in 20 minutes . if each machine produces parts at a constant rate , how many parts does machine a produce in 8 minutes ?", - "Output Program": [ - "n0 = 100.0\nn1 = 100.0\nn2 = 20.0\nn3 = 8.0\nt0 = n0 / n2\nt1 = t0 * 2.0\nanswer = n3 * t1\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "if the cost price of 50 articles is equal to the selling price of 28 articles , then the gain or loss percent is ?", - "Output Program": [ - "n0 = 50.0\nn1 = 28.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = 100.0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "78.57142857142857" - ], - "split": "train" - }, - { - "Input": "a man bought an article and sold it at a gain of 5 % . if he had bought it at 5 % less and sold it for re 8 less , he would have made a profit of 10 % . the c . p . of the article was", - "Output Program": [ - "n0 = 5.0\nn1 = 5.0\nn2 = 8.0\nn3 = 10.0\nt0 = n0 * 4.0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "1600" - ], - "split": "train" - }, - { - "Input": "suresh started a business , investing rs . 18000 . after 3 months and 4 months respectively , rohan and sudhir joined him with capitals of 12000 and 9000 . at the end of the year the total profit was rs . 3795 . what is the difference between rohan \u2019 s and sudhir \u2019 s share in the profit ?", - "Output Program": [ - "n0 = 18000.0\nn1 = 3.0\nn2 = 4.0\nn3 = 12000.0\nn4 = 9000.0\nn5 = 3795.0\nt0 = n1 * n2\nt1 = t0 - n1\nt2 = t0 - n2\nt3 = t1 / t0\nt4 = t2 / t0\nt5 = n3 * t3\nt6 = n4 * t4\nt7 = n0 + t5\nt8 = t5 - t6\nt9 = t7 + t6\nt10 = n5 / t9\nanswer = t10 * t8\nprint(answer)" - ], - "Output Answer": [ - "345" - ], - "split": "train" - }, - { - "Input": "16 is what % of 90 ?", - "Output Program": [ - "n0 = 16.0\nn1 = 90.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "17.77777777777778" - ], - "split": "train" - }, - { - "Input": "a , b and c invested rs . 6300 , rs . 4200 and rs . 10500 respectively , in a partnership business . find the share of a in profit of rs . 14200 after a year ?", - "Output Program": [ - "n0 = 6300.0\nn1 = 4200.0\nn2 = 10500.0\nn3 = 14200.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n0 / t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "4260" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold 50 articles at the cost price of 60 articles . then find the profit % or lost %", - "Output Program": [ - "n0 = 50.0\nn1 = 60.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "the owner of a furniture shop charges his customer 20 % more than the cost price . if a customer paid rs . 3000 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 20.0\nn1 = 3000.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "2500" - ], - "split": "train" - }, - { - "Input": "sonika deposited rs . 9000 which amounted to rs . 10200 after 3 years at simple interest . had the interest been 2 % more . she would get how much ?", - "Output Program": [ - "n0 = 9000.0\nn1 = 10200.0\nn2 = 3.0\nn3 = 2.0\nt0 = n3 / 100.0\nt1 = n1 - n0\nt2 = t1 / n2\nt3 = t2 / n0\nt4 = t0 + t3\nt5 = n0 * t4\nt6 = n2 * t5\nanswer = n0 + t6\nprint(answer)" - ], - "Output Answer": [ - "10740" - ], - "split": "train" - }, - { - "Input": "mary works in a restaurant a maximum of 45 hours . for the first 20 hours , she is paid $ 8 per hour . for each overtime hour , she is paid at a rate which is 25 % higher than her regular rate . how much mary can earn in a week ?", - "Output Program": [ - "n0 = 45.0\nn1 = 20.0\nn2 = 8.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n2\nt2 = n0 - n1\nt3 = n2 * t0\nt4 = t3 * t2\nanswer = t1 + t4\nprint(answer)" - ], - "Output Answer": [ - "410" - ], - "split": "train" - }, - { - "Input": "a 20 % stock yielding 8 % is quoted at ?", - "Output Program": [ - "n0 = 20.0\nn1 = 8.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "250" - ], - "split": "train" - }, - { - "Input": "a merchant marks his goods up by 50 % and then offers a discount of 20 % on the marked price . what % profit does the merchant make after the discount ?", - "Output Program": [ - "n0 = 50.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "the number which exceeds 12 % of it by 52.8 is :", - "Output Program": [ - "n0 = 12.0\nn1 = 52.8\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "a merchant marks goods up by 60 % and then offers a discount on the marked price . the profit that the merchant makes after offering the discount is 20 % . what % discount did the merchant offer ?", - "Output Program": [ - "n0 = 60.0\nn1 = 20.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t2 - 1.0\nt4 = t3 - t1\nt5 = t4 / t2\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25.000000000000007" - ], - "split": "train" - }, - { - "Input": "rohan spends 40 % of his salary on food , 20 % on house rent , 10 % on entertainment and 10 % on conveyance . if his savings at the end of a month are rs . 2000 . then his monthly salary is", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nn2 = 10.0\nn3 = 10.0\nn4 = 2000.0\nt0 = 1.0 + 4.0\nanswer = n4 * t0\nprint(answer)" - ], - "Output Answer": [ - "10000" - ], - "split": "train" - }, - { - "Input": "at joel \u2019 s bookstore , the current inventory is 30 % historical fiction . of the historical fiction books , 30 % are new releases , while 40 % of the other books are new releases . what fraction of all new releases are the historical fiction new releases ?", - "Output Program": [ - "n0 = 30.0\nn1 = 30.0\nn2 = 40.0\nt0 = n0 * n1\nt1 = 100.0 - n0\nt2 = t0 / 100.0\nt3 = n2 * t1\nt4 = t3 / 100.0\nt5 = t2 + t4\nanswer = t2 / t5\nprint(answer)" - ], - "Output Answer": [ - "0.24324324324324326" - ], - "split": "train" - }, - { - "Input": "a man can row downstream at the rate of 24 kmph and upstream at 7 kmph . find the man \u2019 s rate in still water and rate of current ?", - "Output Program": [ - "n0 = 24.0\nn1 = 7.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "8.5" - ], - "split": "train" - }, - { - "Input": "a football team lost 5 yards and then gained 13 . what is the team ' s progress ?", - "Output Program": [ - "n0 = 5.0\nn1 = 13.0\n\nanswer = n1 - n0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "a portion of the 85 % solution of chemicals was replaced with an equal amount of 20 % solution of chemicals . as a result , 40 % solution of chemicals resulted . what part of the original solution was replaced ?", - "Output Program": [ - "n0 = 85.0\nn1 = 20.0\nn2 = 40.0\nt0 = n0 - n2\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.6923076923076923" - ], - "split": "train" - }, - { - "Input": "a $ 500 investment and a $ 1,500 investment have a combined yearly return of 22 percent of the total of the two investments . if the $ 500 investment has a yearly return of 7 percent , what percent yearly return does the $ 1,500 investment have ?", - "Output Program": [ - "n0 = 500.0\nn1 = 1500.0\nn2 = 22.0\nn3 = 500.0\nn4 = 7.0\nn5 = 1500.0\nt0 = n2 / 100.0\nt1 = n4 / 100.0\nt2 = n0 * 3.0\nt3 = n0 + t2\nt4 = n0 * t1\nt5 = t3 * t0\nt6 = t5 - t4\nt7 = t6 / t2\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "27" - ], - "split": "train" - }, - { - "Input": "in a certain city , 60 percent of the registered voters are democrats and the rest are republicans . in a mayoral race , if 70 percent of the registered voters who are democrats and 20 percent of the registered voters who are republicans are expected to vote for candidate a , what percent of the registered voters are expected to vote for candidate a ?", - "Output Program": [ - "n0 = 60.0\nn1 = 70.0\nn2 = 20.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = 100.0 - n0\nt3 = n0 * t0\nt4 = t1 * t2\nanswer = t3 + t4\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "an escalator moves towards the top level at the rate of 15 ft . sec and its length is 180 feet . if a person walks on the moving escalator at the rate of 3 feet per second towards the top level , how much time does he take to cover the entire length .", - "Output Program": [ - "n0 = 15.0\nn1 = 180.0\nn2 = 3.0\nt0 = n0 + n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "john and ingrid pay 30 % and 40 % tax annually , respectively . if john makes $ 56000 and ingrid makes $ 72000 , what is their combined tax rate ?", - "Output Program": [ - "n0 = 30.0\nn1 = 40.0\nn2 = 56000.0\nn3 = 72000.0\nt0 = n2 + n3\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = n2 * t1\nt4 = n3 * t2\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "35.625" - ], - "split": "train" - }, - { - "Input": "during a special promotion , a certain filling station is offering a 10 percent discount on gas purchased after the first 6 gallons . if kim purchased 20 gallons of gas , and isabella purchased 25 gallons of gas , then isabella \u201f s total per - gallon discount is what percent of kim \u201f s total per - gallon discount ?", - "Output Program": [ - "n0 = 10.0\nn1 = 6.0\nn2 = 20.0\nn3 = 25.0\nt0 = n0 + 4.0\nt1 = n0 - 1.0\nt2 = 100.0 - 10.0\nt3 = n0 + t1\nt4 = t0 * t2\nt5 = t4 / 100.0\nt6 = t3 * t2\nt7 = n1 + t5\nt8 = t6 / 100.0\nt9 = n1 + t8\nt10 = t7 / n2\nt11 = t9 / n3\nt12 = 1.0 - t10\nt13 = t12 * 100.0\nt14 = 1.0 - t11\nt15 = t14 * 100.0\nt16 = t15 / t13\nanswer = t16 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "108.57142857142861" - ], - "split": "train" - }, - { - "Input": "in order to obtain an income of rs . 650 from 10 % stock at rs . 96 , one must make an investment of", - "Output Program": [ - "n0 = 650.0\nn1 = 10.0\nn2 = 96.0\nt0 = n2 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "6240" - ], - "split": "train" - }, - { - "Input": "we invested a total of $ 1,000 . we invested one part of the money at 3 % and the rest of the money at 5 % . the total investment with interest at the end of the year was $ 1,046 . how much money did we invest at 3 % ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 3.0\nn2 = 5.0\nn3 = 1046.0\nn4 = 3.0\nt0 = 2.0 + 3.0\nt1 = n2 / 100.0\nt2 = n1 / 100.0\nt3 = 2.0 * 3.0\nt4 = t1 + 1.0\nt5 = t2 + 1.0\nt6 = t0 * 2.0\nt7 = t6 * 100.0\nt8 = t6 * 4.0\nt9 = t4 - t5\nt10 = t7 + t8\nt11 = t4 * t7\nt12 = t10 + t3\nt13 = t11 - t12\nanswer = t13 / t9\nprint(answer)" - ], - "Output Answer": [ - "199.99999999999983" - ], - "split": "train" - }, - { - "Input": "one ball will drop from a certain height . the height it will reach after rebounding from the floor is 50 percent of the previous height . the total travel is 250 cm when it touches the floor on third time . what is the value of the original height ?", - "Output Program": [ - "n0 = 50.0\nn1 = 250.0\nt0 = n0 / 100.0\nt1 = t0 + 2.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "in a certain city , 60 percent of the registered voters are democrats and the rest are republicans . in a mayoral race , if 75 percent of the registered voters who are democrats and 30 percent of the registered voters who are republicans are expected to vote for candidate a , what percent of the registered voters are expected to vote for candidate a ?", - "Output Program": [ - "n0 = 60.0\nn1 = 75.0\nn2 = 30.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = 100.0 - n0\nt3 = n0 * t0\nt4 = t1 * t2\nanswer = t3 + t4\nprint(answer)" - ], - "Output Answer": [ - "57" - ], - "split": "train" - }, - { - "Input": "what is the normal price of an article sold at $ 126 after two successive discounts of 10 % and 20 % ?", - "Output Program": [ - "n0 = 126.0\nn1 = 10.0\nn2 = 20.0\nt0 = 100.0 - n1\nt1 = 100.0 - n2\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 * t3\nanswer = n0 / t4\nprint(answer)" - ], - "Output Answer": [ - "174.99999999999997" - ], - "split": "train" - }, - { - "Input": "running at the same constant rate , 16 identical machines can produce a total of 32 shirt per minute . at this rate , how many shirt could 8 such machines produce in 10 minutes ?", - "Output Program": [ - "n0 = 16.0\nn1 = 32.0\nn2 = 8.0\nn3 = 10.0\nt0 = n1 / n0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "160" - ], - "split": "train" - }, - { - "Input": "mr . tom invested in fund x and fund y . the total amount she invested , in both funds combined , was $ 100000 . in one year , fund x paid 23 % and fund y paid 17 % . the interest earned in fund y was exactly $ 200 greater than the interest earned in fund x . how much did ms . tom invest in fund x ?", - "Output Program": [ - "n0 = 100000.0\nn1 = 23.0\nn2 = 17.0\nn3 = 200.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + t1\nt3 = n0 * t0\nt4 = t3 - n3\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "42000" - ], - "split": "train" - }, - { - "Input": "what is the rate percent when the simple interest on rs . 800 amount to rs . 176 in 4 years ?", - "Output Program": [ - "n0 = 800.0\nn1 = 176.0\nn2 = 4.0\nt0 = n1 * 100.0\nt1 = n0 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "5.5" - ], - "split": "train" - }, - { - "Input": "a 6 litre sol is 35 % alcohol . how many litres of pure alcohol must be added to produce a sol that is 50 % alcohol ?", - "Output Program": [ - "n0 = 6.0\nn1 = 35.0\nn2 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = t1 * 2.0\nanswer = n0 - t2\nprint(answer)" - ], - "Output Answer": [ - "1.8000000000000007" - ], - "split": "train" - }, - { - "Input": "a fruit seller had some apples . he sells 30 % and still has 420 apples . originally , he had ?", - "Output Program": [ - "n0 = 30.0\nn1 = 420.0\n\nanswer = n1 * 100 / (100 + 1e-5 - n0) # original price before loss\nprint(answer)" - ], - "Output Answer": [ - "599.9999142857265" - ], - "split": "train" - }, - { - "Input": "a major airplane manufacturer announced the sale of 150 small airliners at $ 125 million each , 75 medium sized airliners at $ 175 million each , and 60 large airliners at $ 220 million each . what percentage of the company ' s income came from large and medium airliners ?", - "Output Program": [ - "n0 = 150.0\nn1 = 125.0\nn2 = 75.0\nn3 = 175.0\nn4 = 60.0\nn5 = 220.0\nt0 = n2 * n3\nt1 = n4 * n5\nt2 = n0 * n1\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = t3 / t4\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "58.402662229617306" - ], - "split": "train" - }, - { - "Input": "85 % of the population of a city is 85000 . the total population of the city is ?", - "Output Program": [ - "n0 = 85.0\nn1 = 85000.0\nt0 = 100.0 / n0\nanswer = n1 * t0\nprint(answer)" - ], - "Output Answer": [ - "100000" - ], - "split": "train" - }, - { - "Input": "a total of $ 20,000 was invested in two certificates of deposit at simple annual interest rates of 6 percent and 9 percent , respectively . if the total interest on the two certificates was $ 1,440 at the end of one year , what fractional part of the $ 20.000 was invested at the higher rate ?", - "Output Program": [ - "n0 = 20000.0\nn1 = 6.0\nn2 = 9.0\nn3 = 1440.0\nn4 = 20.0\nt0 = 1.0 + 4.0\nt1 = 100.0 * 4.0\nt2 = t0 * 2.0\nt3 = t2 * 100.0\nt4 = t2 * 4.0\nt5 = t3 + t1\nt6 = t5 + t4\nt7 = t6 / n4\nt8 = t7 / n2\nt9 = n2 + t8\nt10 = t9 - n1\nanswer = t10 / n4\nprint(answer)" - ], - "Output Answer": [ - "0.55" - ], - "split": "train" - }, - { - "Input": "in a school of 850 boys , 44 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?", - "Output Program": [ - "n0 = 850.0\nn1 = 44.0\nn2 = 28.0\nn3 = 10.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = 100.0 - t1\nt3 = n0 * t2\nanswer = t3 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "153" - ], - "split": "train" - }, - { - "Input": "if a ' s income is 25 % less than b ' s . by what % b ' s income is greater than a ?", - "Output Program": [ - "n0 = 25.0\nt0 = 100.0 - n0\nt1 = 100.0 / t0\nt2 = t1 - 1.0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "train" - }, - { - "Input": "tom purchased 8 kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 45 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 8.0\nn1 = 70.0\nn2 = 9.0\nn3 = 45.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "965" - ], - "split": "train" - }, - { - "Input": "a sum was put at si at certain rate for 2 years . had it been put at 3 % higher rate , it would have fetched rs . 300 more . find the sum", - "Output Program": [ - "n0 = 2.0\nn1 = 3.0\nn2 = 300.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "5000" - ], - "split": "train" - }, - { - "Input": "5 % of a number is more than 20 % of 650 by 190 . find the number ?", - "Output Program": [ - "n0 = 5.0\nn1 = 20.0\nn2 = 650.0\nn3 = 190.0\nt0 = n1 * n2\nt1 = t0 / 100.0\nt2 = n3 + t1\nt3 = t2 * 100.0\nanswer = t3 / n0\nprint(answer)" - ], - "Output Answer": [ - "6400" - ], - "split": "train" - }, - { - "Input": "jim is able to sell a hand - carved statue for $ 750 which was a 35 % profit over his cost . how much did the statue originally cost him ?", - "Output Program": [ - "n0 = 750.0\nn1 = 35.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "555.5555555555555" - ], - "split": "train" - }, - { - "Input": "milk contains 5 % water . what quantity of pure milk should be added to 10 litres of milk to reduce this to 2 % ?", - "Output Program": [ - "n0 = 5.0\nn1 = 10.0\nn2 = 2.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 * t0\nt3 = t2 / t1\nanswer = t3 - n1\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "40 percent of the members of a study group are women , and 20 percent of those women are lawyers . if one member of the study group is to be selected at random , what is the probability that the member selected is a woman lawyer ?", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nt0 = 5.0 * 5.0\nt1 = t0 * 4.0\nt2 = n0 / t1\nt3 = n1 / t1\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "0.08000000000000002" - ], - "split": "train" - }, - { - "Input": "the banker ' s gain of a certain sum due 2 years hence at 10 % per annum is rs . 24 . the present worth is :", - "Output Program": [ - "n0 = 2.0\nn1 = 10.0\nn2 = 24.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nt2 = t0 / t1\nt3 = t2 * 100.0\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "one 100 gallons of fuel are purchased at $ 0.70 per gallon . the fuel is consumed at a rate of $ 0.40 worth of fuel per hour . at this rate , how many hours are required to consume the 100 gallons of fuel ?", - "Output Program": [ - "n0 = 100.0\nn1 = 0.7\nn2 = 0.4\nn3 = 100.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" - ], - "Output Answer": [ - "175" - ], - "split": "train" - }, - { - "Input": "a chemist mixes one liter of pure water with x liters of a 75 % salt solution , and the resulting mixture is a 15 % salt solution . what is the value of x ?", - "Output Program": [ - "n0 = 75.0\nn1 = 15.0\nt0 = n0 - n1\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "0.25" - ], - "split": "train" - }, - { - "Input": "if 5 % more is gained by selling an article for rs . 600 than by selling it for rs . 580 , the cost of the article is ?", - "Output Program": [ - "n0 = 5.0\nn1 = 600.0\nn2 = 580.0\nt0 = n0 / 100.0\nt1 = n1 - n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "when sold at a 60 % discount , a sweater nets the merchant a 35 % profit on the wholesale cost at which he initially purchased the item . by what % is the sweater marked up from wholesale at its normal retail price ?", - "Output Program": [ - "n0 = 60.0\nn1 = 35.0\nt0 = n1 / 100.0\nt1 = 100.0 - n0\nt2 = t0 + 1.0\nt3 = t1 / t2\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "70.37037037037038" - ], - "split": "train" - }, - { - "Input": "the s . i . on a certain sum of money for 4 years at 12 % per annum is half the c . i . on rs . 6000 for 2 years at 15 % per annum . the sum placed on s . i . is ?", - "Output Program": [ - "n0 = 4.0\nn1 = 12.0\nn2 = 6000.0\nn3 = 2.0\nn4 = 15.0\nt0 = n4 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = n0 * t1\nt4 = t2**min(n3, 5)\nt5 = n2 * t4\nt6 = t5 - n2\nt7 = t6 / n3\nanswer = t7 / t3\nprint(answer)" - ], - "Output Answer": [ - "2015.624999999999" - ], - "split": "train" - }, - { - "Input": "a manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18 % . the wholesaler sells the same to retailer at a profit of 20 % . the retailer in turn sells them to a customer for rs . 30.09 , there by earning a profit of 25 % . the cost price for the manufacturer is ?", - "Output Program": [ - "n0 = 18.0\nn1 = 20.0\nn2 = 30.09\nn3 = 25.0\nt0 = 1.0 + 2.0\nt1 = n3 + 100.0\nt2 = n1 + 100.0\nt3 = n0 + 100.0\nt4 = n1 / 2.0\nt5 = 3.0 * 3.0\nt6 = t5 / 100.0\nt7 = t1 / 100.0\nt8 = t2 / 100.0\nt9 = t3 / 100.0\nt10 = t0 * t4\nt11 = t6 + t10\nt12 = t11 / t7\nt13 = t12 / t8\nanswer = t13 / t9\nprint(answer)" - ], - "Output Answer": [ - "17" - ], - "split": "train" - }, - { - "Input": "a merchant purchased a jacket for $ 42 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 30 percent of the selling price . during a sale , the merchant discounted the selling price by 20 percent and sold the jacket . what was the merchant \u2019 s gross profit on this sale ?", - "Output Program": [ - "n0 = 42.0\nn1 = 30.0\nn2 = 20.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = n0 / t2\nt5 = t4 * t3\nanswer = t5 - n0\nprint(answer)" - ], - "Output Answer": [ - "6.000000000000007" - ], - "split": "train" - }, - { - "Input": "a side of beef lost 35 percent of its weight in processing . if the side of beef weighed 546 pounds after processing , how many pounds did it weigh before processing ?", - "Output Program": [ - "n0 = 35.0\nn1 = 546.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "840" - ], - "split": "train" - }, - { - "Input": "ram sold two bicycles , each for rs . 990 . if he made 10 % profit on the first and 10 % loss on the second , what is the total cost of both bicycles ?", - "Output Program": [ - "n0 = 990.0\nn1 = 10.0\nn2 = 10.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n0 + t1\nt3 = n0 - t1\nanswer = t2 + t3\nprint(answer)" - ], - "Output Answer": [ - "1980" - ], - "split": "train" - }, - { - "Input": "a fruit seller sells mangoes at the rate of rs . 6 per kg and thereby loses 15 % . at what price per kg , he should have sold them to make a profit of 5 %", - "Output Program": [ - "n0 = 6.0\nn1 = 15.0\nn2 = 5.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = n0 * t0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "7.411764705882353" - ], - "split": "train" - }, - { - "Input": "the salaries of a and b together amount to $ 5000 . a spends 95 % of his salary and b , 85 % of his . if now , their savings are the same , what is a ' s salary ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 95.0\nn2 = 85.0\nt0 = 100.0 - n2\nt1 = 100.0 - n1\nt2 = t0 / t1\nt3 = t2 + 1.0\nt4 = n0 / t3\nanswer = n0 - t4\nprint(answer)" - ], - "Output Answer": [ - "3750" - ], - "split": "train" - }, - { - "Input": "jerry went to a shop and bought things worth rs . 35 , out of which 30 % went on sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ?", - "Output Program": [ - "n0 = 35.0\nn1 = 30.0\nn2 = 6.0\nt0 = n1 / 100.0\nt1 = 100.0 / n2\nt2 = t0 * t1\nt3 = t0 + t2\nanswer = n0 - t3\nprint(answer)" - ], - "Output Answer": [ - "29.7" - ], - "split": "train" - }, - { - "Input": "find the amount on rs . 6000 in 2 years , the rate of interest being 4 % per first year and 5 % for the second year ?", - "Output Program": [ - "n0 = 6000.0\nn1 = 2.0\nn2 = 4.0\nn3 = 5.0\nt0 = n3 + 100.0\nt1 = n2 + 100.0\nt2 = n0 * t1\nt3 = t2 / 100.0\nt4 = t0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "6552" - ], - "split": "train" - }, - { - "Input": "80 is increased by 50 % . find the final number .", - "Output Program": [ - "n0 = 80.0\nn1 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "in a particular state , 60 % of the counties received some rain on monday , and 55 % of the counties received some rain on tuesday . no rain fell either day in 25 % of the counties in the state . what percent of the counties received some rain on monday and tuesday ?", - "Output Program": [ - "n0 = 60.0\nn1 = 55.0\nn2 = 25.0\nt0 = n0 + n1\nt1 = 100.0 - n2\nanswer = t0 - t1\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "a man buys an item at rs . 1300 and sells it at the loss of 20 percent . then what is the selling price of that item", - "Output Program": [ - "n0 = 1300.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "1040" - ], - "split": "train" - }, - { - "Input": "the ratio of investments of two partners p and q is 7 : 5.00001 and the ratio of their profits is 7.00001 : 10 . if p invested the money for 5 months , find for how much time did q invest the money ?", - "Output Program": [ - "n0 = 7.0\nn1 = 5.00001\nn2 = 7.00001\nn3 = 10.0\nn4 = 5.0\nt0 = n0 / n1\nt1 = n3 / n2\nt2 = t0 * t1\nanswer = n4 * t2\nprint(answer)" - ], - "Output Answer": [ - "9.999965714374696" - ], - "split": "train" - }, - { - "Input": "by selling 80 pens , a trader gains the cost of 20 pens . find his gain percentage ?", - "Output Program": [ - "n0 = 80.0\nn1 = 20.0\nt0 = n1 / n0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "john makes $ 40 a week from his job . he earns a raise andnow makes $ 55 a week . what is the % increase ?", - "Output Program": [ - "n0 = 40.0\nn1 = 55.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "37.5" - ], - "split": "train" - }, - { - "Input": "the list price of an article is rs . 70 . a customer pays rs . 61.74 for it . he was given two successive discounts , one of them being 10 % . the other discount is ?", - "Output Program": [ - "n0 = 70.0\nn1 = 61.74\nn2 = 10.0\nt0 = n2 / 100.0\nt1 = n0 * t0\nt2 = n0 - t1\nt3 = t2 - n1\nt4 = t3 / t2\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "1.999999999999997" - ], - "split": "train" - }, - { - "Input": "a towel , when bleached , lost 30 % of its length and 15 % of its breadth . what is the percentage decrease in area ?", - "Output Program": [ - "n0 = 30.0\nn1 = 15.0\nt0 = 100.0 * 100.0\nt1 = 100.0 - n0\nt2 = 100.0 - n1\nt3 = t1 * t2\nt4 = t0 - t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "40.5" - ], - "split": "train" - }, - { - "Input": "harkamal purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 50 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 8.0\nn1 = 70.0\nn2 = 9.0\nn3 = 50.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1010" - ], - "split": "train" - }, - { - "Input": "the market value of a certain machine decreased by 10 percent of its purchase price each year . if the machine was purchased in 1982 for its market value of $ 8,000 , what was its market value two years later ?", - "Output Program": [ - "n0 = 10.0\nn1 = 1982.0\nn2 = 8000.0\nt0 = n0 / 100.0\nt1 = 10.0 * 100.0\nt2 = 2.0 * 4.0\nt3 = t1 * t2\nt4 = t0 * 2.0\nt5 = t3 * t4\nanswer = t3 - t5\nprint(answer)" - ], - "Output Answer": [ - "6400" - ], - "split": "train" - }, - { - "Input": "fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 5 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discounts rates is 18 percent , what is the discount rate on pony jeans ?", - "Output Program": [ - "n0 = 15.0\nn1 = 18.0\nn2 = 5.0\nn3 = 5.0\nn4 = 3.0\nn5 = 2.0\nn6 = 18.0\nt0 = n6 / 100.0\nt1 = n1 * n5\nt2 = n0 * n4\nt3 = t0 * t1\nt4 = t2 - t1\nt5 = n2 - t3\nt6 = t5 / t4\nt7 = t0 - t6\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "34.444444444444436" - ], - "split": "train" - }, - { - "Input": "tom opened a shop investing rs . 3000 . jose joined him 2 months later , investing rs . 4500 . they earned a profit of rs . 6300 after completion of one year . what will be jose ' s share of profit ?", - "Output Program": [ - "n0 = 3000.0\nn1 = 2.0\nn2 = 4500.0\nn3 = 6300.0\nt0 = n1 * 3.0\nt1 = t0 * n1\nt2 = n0 * t1\nt3 = t1 - n1\nt4 = n2 * t3\nt5 = t4 + t2\nt6 = t2 / t5\nt7 = 1.0 - t6\nanswer = n3 * t7\nprint(answer)" - ], - "Output Answer": [ - "3500" - ], - "split": "train" - }, - { - "Input": "a towel , when bleached , was found to have lost 20 % of its length and 10 % of its breadth . the percentage of decrease in area is ?", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 * t3\nt5 = 1.0 - t4\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "27.999999999999993" - ], - "split": "train" - }, - { - "Input": "a fair price shopkeeper takes 10 % profit on his goods . he lost 20 % goods during theft . his loss percent is :", - "Output Program": [ - "n0 = 10.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "train" - }, - { - "Input": "albert buys 4 horses and 9 cows for rs . 13,400 . if he sells the horses at 10 % profit and the cows at 20 % profit , then he earns a total profit of rs . 1880 . the cost of a horse is :", - "Output Program": [ - "n0 = 4.0\nn1 = 9.0\nn2 = 13400.0\nn3 = 10.0\nn4 = 20.0\nn5 = 1880.0\n\nanswer = n4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2000" - ], - "split": "train" - }, - { - "Input": "at what rate percent of simple interest will a sum of money double itself in 77 years ?", - "Output Program": [ - "n0 = 77.0\n\nanswer = 100.0 / n0\nprint(answer)" - ], - "Output Answer": [ - "1.2987012987012987" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article offering a discount of 4 % and earned a profit of 38 % . what would have been the percentage of profit earned if no discount was offered ?", - "Output Program": [ - "n0 = 4.0\nn1 = 38.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * 100.0\nt3 = t2 / t1\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "43.75" - ], - "split": "train" - }, - { - "Input": "? % of 360 = 126", - "Output Program": [ - "n0 = 360.0\nn1 = 126.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "35" - ], - "split": "train" - }, - { - "Input": "find the compound interest on $ 1200 for 4 years at 20 % p . a . if ci is component yearly ?", - "Output Program": [ - "n0 = 1200.0\nn1 = 4.0\nn2 = 20.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nt3 = n0 * t2\nanswer = t3 - n0\nprint(answer)" - ], - "Output Answer": [ - "1288.3199999999997" - ], - "split": "train" - }, - { - "Input": "when sold at a 60 % discount , a sweater nets the merchant a 20 % profit on the wholesale cost at which he initially purchased the item . by what % is the sweater marked up from wholesale at its normal retail price ?", - "Output Program": [ - "n0 = 60.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = 100.0 - n0\nt2 = t0 + 1.0\nt3 = t1 / t2\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "66.66666666666666" - ], - "split": "train" - }, - { - "Input": "find the 25 % of rs . 600 .", - "Output Program": [ - "n0 = 25.0\nn1 = 600.0\nt0 = n0 / 100.0\nanswer = n1 * t0\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "ramu bought an old car for rs . 42000 . he spent rs . 13000 on repairs and sold it for rs . 60900 . what is his profit percent ?", - "Output Program": [ - "n0 = 42000.0\nn1 = 13000.0\nn2 = 60900.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10.727272727272727" - ], - "split": "train" - }, - { - "Input": "an error 2 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is :", - "Output Program": [ - "n0 = 2.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "4.04" - ], - "split": "train" - }, - { - "Input": "david deposited $ 5000 to open a new savings account that earned 6 percent annual interest , compounded semi - annually . if there were no other transactions in the account , what the amount of money in david account one year after the account was opened ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 6.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "5300" - ], - "split": "train" - }, - { - "Input": "fresh grapes contain 90 % by weight while dried grapes contain 20 % water by weight . what is the weight of dry grapes available from 10 kg of fresh grapes ?", - "Output Program": [ - "n0 = 90.0\nn1 = 20.0\nn2 = 10.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = n2 * t0\nt3 = t2 / 100.0\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "1.25" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 450 after successive discount is 20 % and 15 % is ?", - "Output Program": [ - "n0 = 450.0\nn1 = 20.0\nn2 = 15.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "306" - ], - "split": "train" - }, - { - "Input": "a and b began business with rs . 3000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 630 find the share of a", - "Output Program": [ - "n0 = 3000.0\nn1 = 4000.0\nn2 = 8.0\nn3 = 1000.0\nn4 = 1000.0\nn5 = 630.0\nt0 = n1 + n3\nt1 = n0 * n2\nt2 = n1 * n2\nt3 = n0 - n3\nt4 = 12.0 - n2\nt5 = t3 * t4\nt6 = t0 * t4\nt7 = t1 + t5\nt8 = t2 + t6\nt9 = t7 + t8\nt10 = n5 / t9\nanswer = t7 * t10\nprint(answer)" - ], - "Output Answer": [ - "240" - ], - "split": "train" - }, - { - "Input": "a feed store sells two varieties of birdseed : brand a , which is 40 % millet and 60 % sunflower , and brand b , which is 65 % millet and 35 % sunflower . if a customer purchases a mix of the two types of birdseed that is 50 % sunflower , what percent of the mix is brand a ?", - "Output Program": [ - "n0 = 40.0\nn1 = 60.0\nn2 = 65.0\nn3 = 35.0\nn4 = 50.0\nt0 = 2.0 + 3.0\nt1 = 3.0 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "in an election a candidate who gets 60 % of the votes is elected by a majority of 1504 votes . what is the total number of votes polled ?", - "Output Program": [ - "n0 = 60.0\nn1 = 1504.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "7520" - ], - "split": "train" - }, - { - "Input": "if a lends rs . 2800 to b at 15 % per annum and b lends the same sum to c at 18.5 % per annum then the gain of b in a period of 3 years is ?", - "Output Program": [ - "n0 = 2800.0\nn1 = 15.0\nn2 = 18.5\nn3 = 3.0\nt0 = n0 * n2\nt1 = n0 * n1\nt2 = t0 * n3\nt3 = n3 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nanswer = t4 - t5\nprint(answer)" - ], - "Output Answer": [ - "294" - ], - "split": "train" - }, - { - "Input": "sonika deposited rs . 8000 which amounted to rs . 9200 after 3 years at simple interest . had the interest been 1 % more . she would get how much ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 9200.0\nn2 = 3.0\nn3 = 1.0\nt0 = n3 / 100.0\nt1 = n1 - n0\nt2 = t1 / n2\nt3 = t2 / n0\nt4 = t0 + t3\nt5 = n0 * t4\nt6 = n2 * t5\nanswer = n0 + t6\nprint(answer)" - ], - "Output Answer": [ - "9440" - ], - "split": "train" - }, - { - "Input": "a bowl of fruit contains 14 apples and 23 oranges . how many oranges must be removed so that 70 % of the pieces of fruit in the bowl will be apples ?", - "Output Program": [ - "n0 = 14.0\nn1 = 23.0\nn2 = 70.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = t0 * t1\nt3 = t2 - n0\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "17" - ], - "split": "train" - }, - { - "Input": "a candidate got 30 % of the votes polled and he lost to his rival by 4000 votes . how many votes were cast ?", - "Output Program": [ - "n0 = 30.0\nn1 = 4000.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "10000" - ], - "split": "train" - }, - { - "Input": "if 5 % more is gained by selling an article for rs . 350 than by selling it for rs . 345 , the cost of the article is", - "Output Program": [ - "n0 = 5.0\nn1 = 350.0\nn2 = 345.0\nt0 = n0 / 100.0\nt1 = n1 - n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "what will be the difference between simple and compound interest at 16 % per annum on a sum of rs . 1000 after 4 years ?", - "Output Program": [ - "n0 = 16.0\nn1 = 1000.0\nn2 = 4.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = n1 * t0\nt3 = n2 * t2\nt4 = t1**min(n2, 5)\nt5 = n1 * t4\nt6 = t5 - n1\nanswer = t6 - t3\nprint(answer)" - ], - "Output Answer": [ - "170.63935999999944" - ], - "split": "train" - }, - { - "Input": "fresh grapes contain 80 % by weight while dried grapes contain 20 % water by weight . what is the weight of dry grapes available from 40 kg of fresh grapes ?", - "Output Program": [ - "n0 = 80.0\nn1 = 20.0\nn2 = 40.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = n2 * t0\nt3 = t2 / 100.0\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 20 percent , but profits were 12 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?", - "Output Program": [ - "n0 = 2008.0\nn1 = 10.0\nn2 = 2009.0\nn3 = 20.0\nn4 = 12.0\nn5 = 2009.0\nn6 = 2008.0\nt0 = n3 / 100.0\nt1 = 1.0 - t0\nt2 = n4 * t1\nt3 = t2 / n1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "96.00000000000001" - ], - "split": "train" - }, - { - "Input": "present birth rate is 32 per 1000 while death rate is 11 per 1000 . what will be the percentage increase in the rate of population ?", - "Output Program": [ - "n0 = 32.0\nn1 = 1000.0\nn2 = 11.0\nn3 = 1000.0\nt0 = n0 - n2\nt1 = t0 / n1\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2.1" - ], - "split": "train" - }, - { - "Input": "on selling 11 balls at rs . 720 , there is a loss equal to the cost price of 5 balls . the cost price of a ball is :", - "Output Program": [ - "n0 = 11.0\nn1 = 720.0\nn2 = 5.0\nt0 = n0 - n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "a 12 % stock yielding 10 % is quoted at :", - "Output Program": [ - "n0 = 12.0\nn1 = 10.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "shopkeeper rise price by 32 % and gives successive discount of 10 % and 15 % . what is overall % gain or loss ?", - "Output Program": [ - "n0 = 32.0\nn1 = 10.0\nn2 = 15.0\nt0 = n0 + 100.0\nt1 = 100.0 - n2\nt2 = 100.0 - n1\nt3 = t1 / 100.0\nt4 = t2 / 100.0\nt5 = t0 * t4\nt6 = t3 * t5\nanswer = t6 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "0.9799999999999898" - ], - "split": "train" - }, - { - "Input": "one fourth of a solution that was 10 % sugar by weight was replaced by a second solution resulting in a solution that was 17 percent sugar by weight . the second solution was what percent sugar by weight ?", - "Output Program": [ - "n0 = 10.0\nn1 = 17.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 / 4.0\nt3 = t0 * 100.0\nt4 = t2 * 100.0\nt5 = 100.0 - t4\nt6 = t1 * t5\nt7 = t3 - t6\nt8 = t7 / t4\nanswer = t8 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "38" - ], - "split": "train" - }, - { - "Input": "tom purchased 8 kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 70 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 8.0\nn1 = 70.0\nn2 = 9.0\nn3 = 70.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1190" - ], - "split": "train" - }, - { - "Input": "a cycle is bought for rs . 840 and sold for rs . 1220 , find the gain percent ?", - "Output Program": [ - "n0 = 840.0\nn1 = 1220.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "45.23809523809524" - ], - "split": "train" - }, - { - "Input": "when the price of an article was reduced by 20 % its sale increased by 80 % . what was the net effect on the sale ?", - "Output Program": [ - "n0 = 20.0\nn1 = 80.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 / 100.0\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "44" - ], - "split": "train" - }, - { - "Input": "an escalator moves towards the top level at the rate of 7 ft . sec and its length is 180 feet . if a person walks on the moving escalator at the rate of 2 feet per second towards the top level , how much time does he take to cover the entire length .", - "Output Program": [ - "n0 = 7.0\nn1 = 180.0\nn2 = 2.0\nt0 = n0 + n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "a sum of money at simple interest amounts to rs . 1717 in 1 year and to rs . 1734 in 2 years . the sum is :", - "Output Program": [ - "n0 = 1717.0\nn1 = 1.0\nn2 = 1734.0\nn3 = 2.0\nt0 = n2 - n0\nt1 = n1 * t0\nt2 = t1 / n3\nanswer = n0 - t2\nprint(answer)" - ], - "Output Answer": [ - "1708.5" - ], - "split": "train" - }, - { - "Input": "victor gets 80 % marks in examinations . if these are 240 marks , find the maximum marks .", - "Output Program": [ - "n0 = 80.0\nn1 = 240.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "300" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article at $ 100 with 45 % profit . then find its cost price ?", - "Output Program": [ - "n0 = 100.0\nn1 = 45.0\nt0 = n1 + n0\nt1 = n0 / t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "68.96551724137932" - ], - "split": "train" - }, - { - "Input": "the sale price of an article including the sales tax is rs . 616 . the rate of sales tax is 10 % . if the shopkeeper has made a profit of 17 % , then the cost price of the article is :", - "Output Program": [ - "n0 = 616.0\nn1 = 10.0\nn2 = 17.0\nt0 = n1 + 100.0\nt1 = n2 + 100.0\nt2 = n0 * 100.0\nt3 = t2 / t0\nt4 = t0 * t3\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "526.4957264957264" - ], - "split": "train" - }, - { - "Input": "how long does a train 110 meters long running at the rate of 36 km / hr take to cross a bridge 132 meters in length ?", - "Output Program": [ - "n0 = 110.0\nn1 = 36.0\nn2 = 132.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "24.198064154867613" - ], - "split": "train" - }, - { - "Input": "a 340 - liter solution of kola is made from 80 % water , 6 % concentrated kola and the rest is made from sugar . if 3.2 liters of sugar , 10 liter of water and 6.8 liters of concentrated kola were added to the solution , what percent of the solution is made from sugar ?", - "Output Program": [ - "n0 = 340.0\nn1 = 80.0\nn2 = 6.0\nn3 = 3.2\nn4 = 10.0\nn5 = 6.8\nt0 = n0 + n3\nt1 = n1 / 100.0\nt2 = n2 / 100.0\nt3 = n4 + t0\nt4 = n0 * t1\nt5 = n0 * t2\nt6 = n5 + t3\nt7 = n0 - t4\nt8 = t7 - t5\nt9 = n3 + t8\nt10 = t9 / t6\nanswer = t10 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "14.111111111111112" - ], - "split": "train" - }, - { - "Input": "from january 1 , 1991 , to january 1 , 1993 , the number of people enrolled in health maintenance organizations increased by 20 percent . the enrollment on january 1 , 1993 , was 50 million . how many million people , to the nearest million , were enrolled in health maintenance organizations on january 1 , 1991 ?", - "Output Program": [ - "n0 = 1.0\nn1 = 1991.0\nn2 = 1.0\nn3 = 1993.0\nn4 = 20.0\nn5 = 1.0\nn6 = 1993.0\nn7 = 50.0\nn8 = 1.0\nn9 = 1991.0\nt0 = n4 + 100.0\nt1 = 100.0 / t0\nanswer = n7 * t1\nprint(answer)" - ], - "Output Answer": [ - "41.66666666666667" - ], - "split": "train" - }, - { - "Input": "on a sum of money , the simple interest for 2 years is rs . 330 , while the compound interest is rs . 340 , the rate of interest being the same in both the cases . the rate of interest is", - "Output Program": [ - "n0 = 2.0\nn1 = 330.0\nn2 = 340.0\nt0 = n1 / n0\nt1 = n2 - t0\nt2 = t1 - t0\nt3 = t2 * 100.0\nanswer = t3 / t0\nprint(answer)" - ], - "Output Answer": [ - "6.0606060606060606" - ], - "split": "train" - }, - { - "Input": "a cycle is bought for rs . 900 and sold for rs . 1150 , find the gain percent ?", - "Output Program": [ - "n0 = 900.0\nn1 = 1150.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "27.77777777777778" - ], - "split": "train" - }, - { - "Input": "alfred buys an old scooter for $ 4700 and spends $ 800 on its repairs . if he sells the scooter for $ 5800 , his gain percent is ?", - "Output Program": [ - "n0 = 4700.0\nn1 = 800.0\nn2 = 5800.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "5.454545454545454" - ], - "split": "train" - }, - { - "Input": "tom opened a shop investing rs . 30000 . jose joined him 2 months later , investing rs . 45000 . they earned a profit of rs . 45000 after completion of one year . what will be jose ' s share of profit ?", - "Output Program": [ - "n0 = 30000.0\nn1 = 2.0\nn2 = 45000.0\nn3 = 45000.0\nt0 = n1 * 3.0\nt1 = t0 * n1\nt2 = n0 * t1\nt3 = t1 - n1\nt4 = n2 * t3\nt5 = t4 + t2\nt6 = t2 / t5\nt7 = 1.0 - t6\nanswer = n3 * t7\nprint(answer)" - ], - "Output Answer": [ - "25000" - ], - "split": "train" - }, - { - "Input": "3 candidates in an election and received 1000 , 2000 and 4000 votes respectively . what % of the total votes did the winning candidate got in that election ?", - "Output Program": [ - "n0 = 3.0\nn1 = 1000.0\nn2 = 2000.0\nn3 = 4000.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = n3 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "57.14285714285714" - ], - "split": "train" - }, - { - "Input": "a person buys an article at rs . 500 . at what price should he sell the article so as to make a profit of 45 % ?", - "Output Program": [ - "n0 = 500.0\nn1 = 45.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "725" - ], - "split": "train" - }, - { - "Input": "the purchase price of an article is $ 48 . in order to include 15 % of cost for overhead and to provide $ 12 of net profit , the markup should be", - "Output Program": [ - "n0 = 48.0\nn1 = 15.0\nn2 = 12.0\nt0 = n2 / n0\nt1 = t0 * 100.0\nanswer = n1 + t1\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "a trader cheats both his supplier and customer by using faulty weights . when he buys from the supplier , he takes 10 % more than the indicated weight . when he sells to his customer , he gives the customer a weight such that 30 % of that is added to the weight , the weight claimed by the trader is obtained . if he charges the cost price of the weight that he claims , find his profit percentage .", - "Output Program": [ - "n0 = 10.0\nn1 = 30.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = t1 / 100.0\nt3 = t0 * t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "43" - ], - "split": "train" - }, - { - "Input": "at the end of the first quarter , the share price of a certain mutual fund was 25 percent higher than it was at the beginning of the year . at the end of the second quarter , the share price was 55 percent higher than it was at the beginning of the year . what was the percent increase in the share price from the end of the first quarter to the end of the second quarter ?", - "Output Program": [ - "n0 = 25.0\nn1 = 55.0\nt0 = n1 + 100.0\nt1 = n0 + 100.0\nt2 = t0 / t1\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "24" - ], - "split": "train" - }, - { - "Input": "vijay sells a cupboard at 14 % below cost price . had he got rs . 2086 more , he would have made a profit of 14 % . what is the cost price of the cupboard ?", - "Output Program": [ - "n0 = 14.0\nn1 = 2086.0\nn2 = 14.0\nt0 = n0 + 100.0\nt1 = 100.0 - n0\nt2 = t0 - t1\nt3 = t2 / 100.0\nanswer = n1 / t3\nprint(answer)" - ], - "Output Answer": [ - "7449.999999999999" - ], - "split": "train" - }, - { - "Input": "i bought two books ; for rs . 540 . i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price . find the cost of the book sold at a loss ?", - "Output Program": [ - "n0 = 540.0\nn1 = 15.0\nn2 = 19.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = t0 + t1\nt3 = n0 * t0\nanswer = t3 / t2\nprint(answer)" - ], - "Output Answer": [ - "315" - ], - "split": "train" - }, - { - "Input": "in country z , 10 % of the people do not have a university diploma but have the job of their choice , and 15 % of the people who do not have the job of their choice have a university diploma . if 40 % of the people have the job of their choice , what percent of the people have a university diploma ?", - "Output Program": [ - "n0 = 10.0\nn1 = 15.0\nn2 = 40.0\nt0 = 100.0 - n2\nt1 = n2 - n0\nt2 = n1 * t0\nt3 = t2 / 100.0\nanswer = t3 + t1\nprint(answer)" - ], - "Output Answer": [ - "39" - ], - "split": "train" - }, - { - "Input": "the present worth of rs . 676 due in 2 years at 4 % per annum compound interest is", - "Output Program": [ - "n0 = 676.0\nn1 = 2.0\nn2 = 4.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "624.9999999999999" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article offering a discount of 5 % and earned a profit of 21.6 % . what would have been the percentage of profit earned if no discount was offered ?", - "Output Program": [ - "n0 = 5.0\nn1 = 21.6\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * 100.0\nt3 = t2 / t1\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "28" - ], - "split": "train" - }, - { - "Input": "in a certain boys camp , 20 % of the total boys are from school a and 30 % of those study science . if there are 77 boys in the camp that are from school a but do not study science then what is the total number of boys in the camp ?", - "Output Program": [ - "n0 = 20.0\nn1 = 30.0\nn2 = 77.0\nt0 = n0 / 100.0\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nt3 = t2 * t0\nanswer = n2 / t3\nprint(answer)" - ], - "Output Answer": [ - "550" - ], - "split": "train" - }, - { - "Input": "how many litres of pure acid are there in 10 litres of a 25 % solution", - "Output Program": [ - "n0 = 10.0\nn1 = 25.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "2.5" - ], - "split": "train" - }, - { - "Input": "after decreasing 50 % in the price of an article costs rs . 1200 . find the actual cost of an article ?", - "Output Program": [ - "n0 = 50.0\nn1 = 1200.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "2400" - ], - "split": "train" - }, - { - "Input": "a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 70 percent of books that were loaned out are returned and there are 66 books in the special collection at that time , how many books of the special collection were loaned out during that month ?", - "Output Program": [ - "n0 = 75.0\nn1 = 70.0\nn2 = 66.0\nt0 = n1 / 100.0\nt1 = n0 - n2\nt2 = 1.0 - t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "29.999999999999996" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article offering a discount of 5 % and earned a profit of 27.3 % . what would have been the percentage of profit earned if no discount had been offered ?", - "Output Program": [ - "n0 = 5.0\nn1 = 27.3\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * 100.0\nt3 = t2 / t1\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "34" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 560 after successive discount is 20 % and 30 % is ?", - "Output Program": [ - "n0 = 560.0\nn1 = 20.0\nn2 = 30.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "313.6" - ], - "split": "train" - }, - { - "Input": "a man sells an article at a profit of 25 % . if he had bought it at 20 % less and sold it for rs . 8.40 less , he would have gained 30 % . find the cost of the article .", - "Output Program": [ - "n0 = 25.0\nn1 = 20.0\nn2 = 8.4\nn3 = 30.0\nt0 = n0 + 100.0\nt1 = n3 + 100.0\nt2 = n2 * 100.0\nt3 = 100.0 - n1\nt4 = t1 * t3\nt5 = t4 / 100.0\nt6 = t0 - t5\nanswer = t2 / t6\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "a watch was sold at a loss of 10 % . if it was sold for rs . 190 more , there would have been a gain of 4 % . what is the cost price ?", - "Output Program": [ - "n0 = 10.0\nn1 = 190.0\nn2 = 4.0\nt0 = 100.0 + n2\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t0 - t2\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "1357.142857142857" - ], - "split": "train" - }, - { - "Input": "what sum of money will produce rs . 70 as simple interest in 4 years at 4 1 / 2 percent ?", - "Output Program": [ - "n0 = 70.0\nn1 = 4.0\nn2 = 4.0\nn3 = 1.0\nn4 = 2.0\nt0 = n3 / n4\nt1 = n2 + t0\nt2 = n1 * t1\nt3 = t2 / 100.0\nanswer = n0 / t3\nprint(answer)" - ], - "Output Answer": [ - "388.8888888888889" - ], - "split": "train" - }, - { - "Input": "an article is bought for rs . 600 and sold for rs . 550 , find the loss percent ?", - "Output Program": [ - "n0 = 600.0\nn1 = 550.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nanswer = 100.0 - t1\nprint(answer)" - ], - "Output Answer": [ - "8.333333333333329" - ], - "split": "train" - }, - { - "Input": "calculate the dividend from caleb ' s stock , if caleb he invested rs . 2500 at 79 to obtain an income of rs . 200 .", - "Output Program": [ - "n0 = 2500.0\nn1 = 79.0\nn2 = 200.0\nt0 = n0 / n1\nanswer = n2 / t0\nprint(answer)" - ], - "Output Answer": [ - "6.319999999999999" - ], - "split": "train" - }, - { - "Input": "at what rate percent per annum will a sum of money double in 16 years .", - "Output Program": [ - "n0 = 16.0\n\nanswer = 100.0 / n0\nprint(answer)" - ], - "Output Answer": [ - "6.25" - ], - "split": "train" - }, - { - "Input": "in the manufacture of a certain product , 9 percent of the units produced are defective and 4 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?", - "Output Program": [ - "n0 = 9.0\nn1 = 4.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "0.36" - ], - "split": "train" - }, - { - "Input": "the cost price of a radio is rs . 1500 and it was sold for rs . 1245 , find the loss % ?", - "Output Program": [ - "n0 = 1500.0\nn1 = 1245.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "17" - ], - "split": "train" - }, - { - "Input": "a person buys an article at $ 500 . at what price should he sell the article so as to make a profit of 20 % ?", - "Output Program": [ - "n0 = 500.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "ramu bought an old car for rs . 36400 . he spent rs . 8000 on repairs and sold it for rs . 68400 . what is his profit percent ?", - "Output Program": [ - "n0 = 36400.0\nn1 = 8000.0\nn2 = 68400.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "54.054054054054056" - ], - "split": "train" - }, - { - "Input": "a tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride . the proportion of sodium chloride in the tank is 30 % by volume and the capacity of the tank is 24 gallons . if the water evaporates from the tank at the rate of 0.4 gallons per hour , and the amount of sodium chloride stays the same , what will be the concentration of water in the mixture in 6 hours ?", - "Output Program": [ - "n0 = 30.0\nn1 = 24.0\nn2 = 0.4\nn3 = 6.0\nt0 = n2 * n3\nt1 = 100.0 - n0\nt2 = n3 * t1\nt3 = n3 - t0\nt4 = t2 / 100.0\nt5 = t4 - t0\nt6 = t5 / t3\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "by selling 20 pencils for a rupee a man loses 35 % . how many for a rupee should he sell in order to gain 30 % ?", - "Output Program": [ - "n0 = 20.0\nn1 = 35.0\nn2 = 30.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = 1.0 / t1\nt3 = t0 * t2\nt4 = 1.0 / t3\nanswer = n0 * t4\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "in order to obtain an income of rs . 500 from 30 % stock at rs . 90 , one must make an investment of", - "Output Program": [ - "n0 = 500.0\nn1 = 30.0\nn2 = 90.0\nt0 = n2 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "1500" - ], - "split": "train" - }, - { - "Input": "in the first 15 overs of a cricket game , the run rate was only 3.2 . what should be the run rate in the remaining 35 overs to reach the target of 275 runs ?", - "Output Program": [ - "n0 = 15.0\nn1 = 3.2\nn2 = 35.0\nn3 = 275.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "6.485714285714286" - ], - "split": "train" - }, - { - "Input": "the effective annual rate of interest corresponding to a nominal rate of 8 % per annum payable half - yearly is ?", - "Output Program": [ - "n0 = 8.0\nt0 = n0 / 2.0\nt1 = t0 + t0\nt2 = t0 * t0\nt3 = t2 / 100.0\nanswer = t1 + t3\nprint(answer)" - ], - "Output Answer": [ - "8.16" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sells 500 metres of cloth for rs . 15000 at a loss of rs . 10 per metre . find his cost price for one metre of cloth ?", - "Output Program": [ - "n0 = 500.0\nn1 = 15000.0\nn2 = 10.0\nt0 = n1 / n0\nanswer = n2 + t0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 % . during the new year season , it further marked up its prices by 25 % of the original retail price . in february , the store then offered a discount of 10 % . what was its profit on the items sold in february ?", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nn2 = 10.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = 100.0 - n2\nt3 = t2 / 100.0\nt4 = t1 / 100.0\nt5 = t0 * t4\nt6 = t3 * t5\nanswer = t6 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "35" - ], - "split": "train" - }, - { - "Input": "a and b invests rs . 3000 and rs . 4500 respectively in a business . if a doubles his capital after 6 months . in what ratio should a and b divide that year ' s profit ?", - "Output Program": [ - "n0 = 3000.0\nn1 = 4500.0\nn2 = 6.0\nt0 = n2 + n2\nt1 = n0 * n2\nt2 = n0 * 2.0\nt3 = n2 * t2\nt4 = n1 * t0\nt5 = t1 + t3\nanswer = t5 / t4\nprint(answer)" - ], - "Output Answer": [ - "1" - ], - "split": "train" - }, - { - "Input": "in a certain company 20 % of the men and 40 % of the women attended the annual company picnic . if 50 % of all the employees are men . what % of all the employee went to the picnic ?", - "Output Program": [ - "n0 = 20.0\nn1 = 40.0\nn2 = 50.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = 100.0 - n2\nt4 = t3 / 100.0\nt5 = t0 * t1\nt6 = t4 * t2\nt7 = t5 + t6\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "30.000000000000004" - ], - "split": "train" - }, - { - "Input": "by selling a book for 270 , 20 % profit was earned . what is the cost price of the book ?", - "Output Program": [ - "n0 = 270.0\nn1 = 20.0\n\nanswer = n0 * 100 / (100 + n1) # original_price_before gain\nprint(answer)" - ], - "Output Answer": [ - "225" - ], - "split": "train" - }, - { - "Input": "if the given two numbers are respectively 7 % and 14 % of a third number , then what percentage is the first of the second ?", - "Output Program": [ - "n0 = 7.0\nn1 = 14.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "if 0.5 % of a = 80 paise , then the value of a is ?", - "Output Program": [ - "n0 = 0.5\nn1 = 80.0\n\nanswer = n1 / n0\nprint(answer)" - ], - "Output Answer": [ - "160" - ], - "split": "train" - }, - { - "Input": "find compound interest on $ 8000 at 15 % per annum for 2 years 4 months , compounded annually .", - "Output Program": [ - "n0 = 8000.0\nn1 = 15.0\nn2 = 2.0\nn3 = 4.0\nt0 = n1 / 100.0\nt1 = t0 / 3.0\nt2 = n0 * t0\nt3 = n0 + t2\nt4 = t3 * t0\nt5 = t2 + t4\nt6 = t3 + t4\nt7 = t6 * t1\nanswer = t5 + t7\nprint(answer)" - ], - "Output Answer": [ - "3109" - ], - "split": "train" - }, - { - "Input": "at what rate percent of simple interest will a sum of money double itself in 11 years ?", - "Output Program": [ - "n0 = 11.0\n\nanswer = 100.0 / n0\nprint(answer)" - ], - "Output Answer": [ - "9.090909090909092" - ], - "split": "train" - }, - { - "Input": "a man took a loan at rate of 12 % per annum simple interest . after 3 years he had to pay 9000 interest . the principal amount borrowed by him was .", - "Output Program": [ - "n0 = 12.0\nn1 = 3.0\nn2 = 9000.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "25000" - ], - "split": "train" - }, - { - "Input": "in an election , candidate a got 75 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favour of candidate .", - "Output Program": [ - "n0 = 75.0\nn1 = 15.0\nn2 = 560000.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = 1.0 - t1\nt3 = n2 * t2\nanswer = t0 * t3\nprint(answer)" - ], - "Output Answer": [ - "357000" - ], - "split": "train" - }, - { - "Input": "a person buys an article at rs . 650 . at what price should he sell the article so as to make a profit of 10 % ?", - "Output Program": [ - "n0 = 650.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "715" - ], - "split": "train" - }, - { - "Input": "each of the integers from 0 to 9 , inclusive , is written on a separate slip of blank paper and the ten slips are dropped into a hat . if 4 of the slips are the drawn , without replacement , what is the probability that all 4 have a odd number written on it ?", - "Output Program": [ - "n0 = 0.0\nn1 = 9.0\nn2 = 4.0\nn3 = 4.0\nt0 = 1.0 + n2\nt1 = n1 + 1.0\nt2 = t0 / t1\nt3 = t0 - 1.0\nt4 = t1 - 1.0\nt5 = t3 / t4\nt6 = t3 - 1.0\nt7 = t4 - 1.0\nt8 = t6 / t7\nt9 = t2 * t5\nt10 = t6 - 1.0\nt11 = t7 - 1.0\nt12 = t10 / t11\nt13 = t8 * t9\nanswer = t12 * t13\nprint(answer)" - ], - "Output Answer": [ - "0.023809523809523808" - ], - "split": "train" - }, - { - "Input": "a fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans . a customer bought the pair of jeans for 10 percent more than the retailer paid for them . the price the customer paid was what percent greater than the cost of manufacturing the jeans ?", - "Output Program": [ - "n0 = 40.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t3 * 100.0\nt5 = t2 * t4\nt6 = t5 / 100.0\nt7 = t6 - 1.0\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "54" - ], - "split": "train" - }, - { - "Input": "a sum was put at simple interest at a certain rate for 10 years . had it been put at 5 % higher rate , it would have fetched rs . 150 more . what was the sum ?", - "Output Program": [ - "n0 = 10.0\nn1 = 5.0\nn2 = 150.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "300" - ], - "split": "train" - }, - { - "Input": "a man sells an article at a profit of 25 % . if he had bought it at 20 % less and sold it for rs . 14.70 less , he would have gained 30 % . find the cost of the article .", - "Output Program": [ - "n0 = 25.0\nn1 = 20.0\nn2 = 14.7\nn3 = 30.0\nt0 = n0 + 100.0\nt1 = n3 + 100.0\nt2 = n2 * 100.0\nt3 = 100.0 - n1\nt4 = t1 * t3\nt5 = t4 / 100.0\nt6 = t0 - t5\nanswer = t2 / t6\nprint(answer)" - ], - "Output Answer": [ - "70" - ], - "split": "train" - }, - { - "Input": "a certain college ' s enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991 , and its enrollment at the beginning of 1993 was 25 percent greater than it was at the beginning of 1992 . the college ' s enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ?", - "Output Program": [ - "n0 = 1992.0\nn1 = 20.0\nn2 = 1991.0\nn3 = 1993.0\nn4 = 25.0\nn5 = 1992.0\nn6 = 1993.0\nn7 = 1991.0\nt0 = n1 + 100.0\nt1 = n4 + 100.0\nt2 = t1 / 100.0\nt3 = t0 * t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "by selling 10 pencils for a rupee a man loses 15 % . how many for a rupee should he sell in order to gain 15 % ?", - "Output Program": [ - "n0 = 10.0\nn1 = 15.0\nn2 = 15.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = 1.0 / t1\nt3 = t0 * t2\nt4 = 1.0 / t3\nanswer = n0 * t4\nprint(answer)" - ], - "Output Answer": [ - "7.391304347826086" - ], - "split": "train" - }, - { - "Input": "a trader bought a car at 20 % discount on its original price . he sold it at a 100 % increase on the price he bought it . what percent of profit did he make on the original price ?", - "Output Program": [ - "n0 = 20.0\nn1 = 100.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 / 100.0\nt4 = t3 / 100.0\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "60.00000000000001" - ], - "split": "train" - }, - { - "Input": "a glass was filled with 40 ounces of water , and 0.01 ounce of the water evaporated each day during a 20 - day period . what percent of the original amount of water evaporated during this period ?", - "Output Program": [ - "n0 = 40.0\nn1 = 0.01\nn2 = 20.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "0.5" - ], - "split": "train" - }, - { - "Input": "a trader sold an article on a certain price with 20 % profit . if he sold double of previous selling price then find its profit %", - "Output Program": [ - "n0 = 20.0\nt0 = n0 + 100.0\nt1 = t0 * 2.0\nanswer = t1 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "140" - ], - "split": "train" - }, - { - "Input": "a dishonest dealer professes to sell goods at the cost price but uses a weight of 650 grams per kg , what is his percent ?", - "Output Program": [ - "n0 = 650.0\nt0 = 2.0 + 3.0\nt1 = 100.0 / n0\nt2 = t0 * 2.0\nt3 = t2 * 100.0\nt4 = t1 * t3\nanswer = t4 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "53.84615384615387" - ], - "split": "train" - }, - { - "Input": "a man completes of a job in 10 days . at this rate , how many more days will it takes him to finish the job ?", - "Output Program": [ - "n0 = 10.0\nt0 = 2.0 + 3.0\nt1 = 2.0 * 4.0\nt2 = t0 / t1\nt3 = 1.0 - t2\nt4 = n0 * t3\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "in a sample of 800 high school students in which all students are either freshmen , sophomores , juniors , or seniors , 22 percent are juniors and 74 percent are not sophomores . if there are 160 seniors , how many more freshmen than sophomores are there among the sample of students ?", - "Output Program": [ - "n0 = 800.0\nn1 = 22.0\nn2 = 74.0\nn3 = 160.0\nt0 = n3 / n0\nt1 = 100.0 - n2\nt2 = t0 * 100.0\nt3 = n0 * t1\nt4 = t3 / 100.0\nt5 = 100.0 - t2\nt6 = t5 - n1\nt7 = t6 - t1\nt8 = n0 * t7\nt9 = t8 / 100.0\nanswer = t9 - t4\nprint(answer)" - ], - "Output Answer": [ - "48" - ], - "split": "train" - }, - { - "Input": "a student needs 60 % of the marks on a test to pass the test . if the student gets 80 marks and fails the test by 100 marks , find the maximum marks set for the test .", - "Output Program": [ - "n0 = 60.0\nn1 = 80.0\nn2 = 100.0\nt0 = n1 + n2\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "300" - ], - "split": "train" - }, - { - "Input": "after giving a discount of rs . 45 the shopkeeper still gets a profit of 20 % , if the cost price is rs . 180 . find the markup % ?", - "Output Program": [ - "n0 = 45.0\nn1 = 20.0\nn2 = 180.0\nt0 = 100.0 / n1\nt1 = n2 / t0\nt2 = n2 + t1\nt3 = n0 + t2\nt4 = t3 - n2\nanswer = t4 / n2\nprint(answer)" - ], - "Output Answer": [ - "0.45" - ], - "split": "train" - }, - { - "Input": "after decreasing 24 % in the price of an article costs rs . 836 . find the actual cost of an article ?", - "Output Program": [ - "n0 = 24.0\nn1 = 836.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "1100" - ], - "split": "train" - }, - { - "Input": "the length of a rectangular floor is more than its breadth by 200 % . if rs . 484 is required to paint the floor at the rate of rs . 3 / sq m , what would be the length of the floor ?", - "Output Program": [ - "import math\nn0 = 200.0\nn1 = 484.0\nn2 = 3.0\nt0 = n1 / n2\nt1 = t0 / 3.0\nt2 = math.sqrt(max(0, t1))\nanswer = t2 * 3.0\nprint(answer)" - ], - "Output Answer": [ - "22" - ], - "split": "train" - }, - { - "Input": "after decreasing 20 % in the price of an article costs rs . 620 . find the actual cost of an article ?", - "Output Program": [ - "n0 = 20.0\nn1 = 620.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "775" - ], - "split": "train" - }, - { - "Input": "andrew purchased 6 kg of grapes at the rate of 74 per kg and 9 kg of mangoes at the rate of 59 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 6.0\nn1 = 74.0\nn2 = 9.0\nn3 = 59.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "975" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 175 after successive discount is 20 % and 5 % is ?", - "Output Program": [ - "n0 = 175.0\nn1 = 20.0\nn2 = 5.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "133" - ], - "split": "train" - }, - { - "Input": "a sum of money lent at compound interest for 2 years at 20 % per annum would fetch rs . 482 more , if the interest was payable half yearly than if it was payable annually . the sum is", - "Output Program": [ - "n0 = 2.0\nn1 = 20.0\nn2 = 482.0\nt0 = n1 / 2.0\nt1 = n1 / 100.0\nt2 = t1 + 1.0\nt3 = t0 / 100.0\nt4 = t3 + 1.0\nt5 = t2**min(2.0, 5)\nt6 = t4**min(4.0, 5)\nt7 = t6 - t5\nanswer = n2 / t7\nprint(answer)" - ], - "Output Answer": [ - "19999.99999999962" - ], - "split": "train" - }, - { - "Input": "rs 3600 is divided into two parts such that one part is put out at 3 % and the other at 5 % . if the annual interest earned from both the investments be rs 144 , find the first part .", - "Output Program": [ - "n0 = 3600.0\nn1 = 3.0\nn2 = 5.0\nn3 = 144.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 * t0\nt3 = t0 - t1\nt4 = t2 - n3\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "1799.9999999999995" - ], - "split": "train" - }, - { - "Input": "a sum fetched a total simple interest of rs . 2700 at the rate of 6 p . c . p . a . in 3 years . what is the sum ?", - "Output Program": [ - "n0 = 2700.0\nn1 = 6.0\nn2 = 3.0\nt0 = n0 * 100.0\nt1 = t0 / n1\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "15000" - ], - "split": "train" - }, - { - "Input": "the regular price per can of a certain brand of soda is $ 0.30 . if the regular price per can is discounted 15 percent when the soda is purchased in 24 - can cases , what is the price of 72 cans of this brand of soda purchased in 24 - can cases ?", - "Output Program": [ - "n0 = 0.3\nn1 = 15.0\nn2 = 24.0\nn3 = 72.0\nn4 = 24.0\nt0 = n0 * n3\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nanswer = t2 * t0\nprint(answer)" - ], - "Output Answer": [ - "18.36" - ], - "split": "train" - }, - { - "Input": "a lent rs . 5000 to b for 2 years and rs . 3000 to c for 4 years on simple interest at the same rate of interest and received rs . 1980 in all from both of them as interest . the rate of interest per annum is ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 2.0\nn2 = 3000.0\nn3 = 4.0\nn4 = 1980.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 + t1\nt3 = n4 / t2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "9" - ], - "split": "train" - }, - { - "Input": "the difference between compound interest and simple interest on a certain amount of money at 5 % per annum for 2 years is 18 . find the sum :", - "Output Program": [ - "n0 = 5.0\nn1 = 2.0\nn2 = 18.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = n1 * t0\nt3 = t2 + 1.0\nt4 = t1**min(n1, 5)\nt5 = t4 - t3\nanswer = n2 / t5\nprint(answer)" - ], - "Output Answer": [ - "7200.000000000154" - ], - "split": "train" - }, - { - "Input": "mohit sold an article for $ 27000 . had he offered a discount of 10 % on the selling price , he would have earned a profit of 8 % . what is the cost price of the article ?", - "Output Program": [ - "n0 = 27000.0\nn1 = 10.0\nn2 = 8.0\nt0 = n2 + 100.0\nt1 = n0 * n1\nt2 = t1 / 100.0\nt3 = n0 - t2\nt4 = t3 / t0\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "22500" - ], - "split": "train" - }, - { - "Input": "the number which exceeds 16 % of it by 21 is :", - "Output Program": [ - "n0 = 16.0\nn1 = 21.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "a book is bought for $ 60 and sold for $ 75 . what is the profit in percentage ?", - "Output Program": [ - "n0 = 60.0\nn1 = 75.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "the value of a machine depreciates at 23 % per annum . if its present value is $ 1 , 50,000 , at what price should it be sold after two years such that a profit of $ 24,000 is made ?", - "Output Program": [ - "import math\nn0 = 23.0\nn1 = 1.0\nn2 = 50000.0\nn3 = 24000.0\nt0 = n0 + 2.0\nt1 = n0 / 100.0\nt2 = 100.0 * 100.0\nt3 = math.sqrt(max(0, 100.0))\nt4 = t3 / 2.0\nt5 = t2 * t3\nt6 = t0 * 100.0\nt7 = n1 - t1\nt8 = t4 * 100.0\nt9 = t7 * t7\nt10 = t6 * t3\nt11 = t8 * 100.0\nt12 = t5 + t11\nt13 = t12 * t9\nanswer = t13 + t10\nprint(answer)" - ], - "Output Answer": [ - "113935" - ], - "split": "train" - }, - { - "Input": "in the first 10 overs of a cricket game , the run rate was only 4.8 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?", - "Output Program": [ - "n0 = 10.0\nn1 = 4.8\nn2 = 40.0\nn3 = 282.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "5.85" - ], - "split": "train" - }, - { - "Input": "mahesh marks an article 15 % above the cost price of rs . 540 . what must be his discount percentage if he sells it at rs . 459 ?", - "Output Program": [ - "n0 = 15.0\nn1 = 540.0\nn2 = 459.0\nt0 = n0 + 100.0\nt1 = t0 / 100.0\nt2 = n1 * t1\nt3 = t2 - n2\nt4 = t3 * 100.0\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "26.08695652173913" - ], - "split": "train" - }, - { - "Input": "a and b start a business , with a investing the total capital of rs . 5000 , on the condition that b pays a interest @ 10 % per annum on his half of the capital . a is a working partner and receives rs . 500 per month from the total profit and any profit remaining is equally shared by both of them . at the end of the year , it was found that the income of a is twice that of b . find the total profit for the year ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 10.0\nn2 = 500.0\nt0 = n0 / 2.0\nt1 = t0 / n1\nt2 = t1 * 3.0\nt3 = t2 * 4.0\nanswer = n2 + t3\nprint(answer)" - ], - "Output Answer": [ - "3500" - ], - "split": "train" - }, - { - "Input": "in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 20 percent , but profits were 16 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?", - "Output Program": [ - "n0 = 2008.0\nn1 = 10.0\nn2 = 2009.0\nn3 = 20.0\nn4 = 16.0\nn5 = 2009.0\nn6 = 2008.0\nt0 = n3 / 100.0\nt1 = 1.0 - t0\nt2 = n4 * t1\nt3 = t2 / n1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "128" - ], - "split": "train" - }, - { - "Input": "arun purchased 30 kg of wheat at the rate of rs . 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg . he mixed the two and sold the mixture . approximately what price per kg should be sell the mixture to make 10 % profit ?", - "Output Program": [ - "n0 = 30.0\nn1 = 11.5\nn2 = 20.0\nn3 = 14.25\nn4 = 10.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n3\nt3 = t1 + t2\nt4 = t3 / 100.0\nt5 = n4 * t4\nt6 = t3 + t5\nanswer = t6 / t0\nprint(answer)" - ], - "Output Answer": [ - "13.86" - ], - "split": "train" - }, - { - "Input": "a , band c enter into partnership . a invests 3 times as much as b and b invests two - third of what c invests . at the end of the year , the profit earned is rs . 8800 . what is the share of b ?", - "Output Program": [ - "n0 = 3.0\nn1 = 8800.0\nt0 = 2.0 / n0\nt1 = 2.0 * n0\nt2 = t0 * n0\nt3 = t1 + t2\nt4 = t3 + n0\nt5 = 2.0 / t4\nanswer = n1 * t5\nprint(answer)" - ], - "Output Answer": [ - "1600" - ], - "split": "train" - }, - { - "Input": "if a large pizza has a radius that is 40 % larger that that of a medium pizza , what is the percent increase in area between a medium and a large pizza ?", - "Output Program": [ - "n0 = 40.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "95.99999999999997" - ], - "split": "train" - }, - { - "Input": "if tim had lunch at $ 60.50 and he gave 20 % tip , how much did he spend ?", - "Output Program": [ - "n0 = 60.5\nn1 = 20.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "72.6" - ], - "split": "train" - }, - { - "Input": "find the principle on a certain sum of money at 5 % per annum for 5 years if the amount being rs . 1120 ?", - "Output Program": [ - "n0 = 5.0\nn1 = 5.0\nn2 = 1120.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "896" - ], - "split": "train" - }, - { - "Input": "10 percent of the women in a college class are science majors , and the non - science majors make up 60 % of the class . what percentage of the men are science majors if 40 % of the class are men ?", - "Output Program": [ - "n0 = 10.0\nn1 = 60.0\nn2 = 40.0\nt0 = n1 + n2\nt1 = n0 / 2.0\nt2 = n0 * 2.0\nt3 = t1 / 100.0\nt4 = t0 - t2\nt5 = t4 / 100.0\nt6 = t5 + t3\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "85.00000000000001" - ], - "split": "train" - }, - { - "Input": "a sells a cricket bat to b at a profit of 20 % . b sells it to c at a profit of 25 % . if c pays $ 222 for it , the cost price of the cricket bat for a is :", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nn2 = 222.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "148" - ], - "split": "train" - }, - { - "Input": "find compound interest on $ 6000 at 15 % per annum for 2 years 4 months , compounded annually .", - "Output Program": [ - "n0 = 6000.0\nn1 = 15.0\nn2 = 2.0\nn3 = 4.0\nt0 = n1 / 100.0\nt1 = t0 / 3.0\nt2 = n0 * t0\nt3 = n0 + t2\nt4 = t3 * t0\nt5 = t2 + t4\nt6 = t3 + t4\nt7 = t6 * t1\nanswer = t5 + t7\nprint(answer)" - ], - "Output Answer": [ - "2331.75" - ], - "split": "train" - }, - { - "Input": "a towel , when bleached , lost 30 % of its length and 40 % of its breadth . what is the percentage decrease in area ?", - "Output Program": [ - "n0 = 30.0\nn1 = 40.0\nt0 = 100.0 * 100.0\nt1 = 100.0 - n0\nt2 = 100.0 - n1\nt3 = t1 * t2\nt4 = t0 - t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "58" - ], - "split": "train" - }, - { - "Input": "in order to obtain an income of rs . 3800 from 70 % stock at rs . 280 , one must make an investment of", - "Output Program": [ - "n0 = 3800.0\nn1 = 70.0\nn2 = 280.0\nt0 = n2 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "15200" - ], - "split": "train" - }, - { - "Input": "the principal that amounts to rs . 4893 in 3 years at 6 1 / 4 % per annum c . i . compounded annually , is ?", - "Output Program": [ - "n0 = 4893.0\nn1 = 3.0\nn2 = 6.0\nn3 = 1.0\nn4 = 4.0\nt0 = n3 / n4\nt1 = n2 + t0\nt2 = t1 / 100.0\nt3 = t2 + 1.0\nt4 = t3**min(n1, 5)\nanswer = n0 / t4\nprint(answer)" - ], - "Output Answer": [ - "4079.325870140444" - ], - "split": "train" - }, - { - "Input": "running at the same constant rate , 15 identical machines can produce a total of 45 bags per minute . at this rate , how many bags could 150 such machines produce in 8 minutes ?", - "Output Program": [ - "n0 = 15.0\nn1 = 45.0\nn2 = 150.0\nn3 = 8.0\nt0 = n1 / n0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "3600" - ], - "split": "train" - }, - { - "Input": "a sum fetched a total simple interest of rs . 4016.25 at the rate of 8 % p . a . in 5 years . what is the sum ?", - "Output Program": [ - "n0 = 4016.25\nn1 = 8.0\nn2 = 5.0\nt0 = n0 * 100.0\nt1 = t0 / n1\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "10040.625" - ], - "split": "train" - }, - { - "Input": "a man two flats for $ 675958 each . on one he gains 12 % while on the other he loses 12 % . how much does he gain or lose in the whole transaction ?", - "Output Program": [ - "n0 = 675958.0\nn1 = 12.0\nn2 = 12.0\nt0 = n1 + 100.0\nt1 = n0 + n0\nt2 = 100.0 - n1\nt3 = 100.0 / t0\nt4 = 100.0 / t2\nt5 = n0 * t3\nt6 = n0 * t4\nt7 = t5 + t6\nt8 = t7 - t1\nt9 = t8 / t7\nanswer = t9 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "1.4399999999999988" - ], - "split": "train" - }, - { - "Input": "in a certain company , a third of the workers do not have a retirement plan . 10 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 120 of the workers of that company are men , how many of the workers are women ?", - "Output Program": [ - "n0 = 10.0\nn1 = 40.0\nn2 = 120.0\nt0 = 1.0 / 3.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 * t1\nt4 = 1.0 - t0\nt5 = t2 * t4\nt6 = t0 - t3\nt7 = t5 + t6\nt8 = t4 - t5\nt9 = t3 + t8\nt10 = n2 / t7\nanswer = t9 * t10\nprint(answer)" - ], - "Output Answer": [ - "91.76470588235296" - ], - "split": "train" - }, - { - "Input": "a scuba diver descends at a rate of 30 feet per minute . a diver dive from a ship to search for a lost ship at the depth of 2400 feet below the sea level . . how long will he take to reach the ship ?", - "Output Program": [ - "n0 = 30.0\nn1 = 2400.0\n\nanswer = n1 / n0\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "what is the rate percent when the simple interest on rs . 800 amount to rs . 200 in 4 years ?", - "Output Program": [ - "n0 = 800.0\nn1 = 200.0\nn2 = 4.0\nt0 = n1 * 100.0\nt1 = n0 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "6.25" - ], - "split": "train" - }, - { - "Input": "the banker ' s gain on a sum due 6 years hence at 12 % per annum is rs . 684 . what is the banker ' s discount ?", - "Output Program": [ - "n0 = 6.0\nn1 = 12.0\nn2 = 684.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nt2 = t0 / t1\nanswer = n2 + t2\nprint(answer)" - ], - "Output Answer": [ - "1634" - ], - "split": "train" - }, - { - "Input": "a shopkeeper cheats both his supplier and customer by using faulty weights . when he buys from the supplier , he takes 20 % more than the indicated weight . when he sells to his customer , he gives the customer a weight such that 10 % of that is added to the weight , the weight claimed by the trader is obtained . if he charges the cost price of the weight that he claims , find his profit percentage .", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = t1 / 100.0\nt3 = t0 * t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "32" - ], - "split": "train" - }, - { - "Input": "the workforce of company x is 60 % female . the company hired 28 additional male workers , and as a result , the percent of female workers dropped to 55 % . how many employees did the company have after hiring the additional male workers ?", - "Output Program": [ - "n0 = 60.0\nn1 = 28.0\nn2 = 55.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 * t0\nt3 = t1 - t0\nt4 = t2 / t3\nanswer = n1 + t4\nprint(answer)" - ], - "Output Answer": [ - "336.00000000000045" - ], - "split": "train" - }, - { - "Input": "what amount does an investor receive if the investor invests $ 7000 at 10 % p . a . compound interest for two years , compounding done annually ?", - "Output Program": [ - "n0 = 7000.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "8470.000000000002" - ], - "split": "train" - }, - { - "Input": "what is the rate percent when the simple interest on rs . 4000 amount to rs . 320 in 2 years ?", - "Output Program": [ - "n0 = 4000.0\nn1 = 320.0\nn2 = 2.0\nt0 = n1 * 100.0\nt1 = n0 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "find the simple interest on $ 10000 at 9 % per annum for 12 months ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 9.0\nn2 = 12.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "900" - ], - "split": "train" - }, - { - "Input": "a circle graph shows how the megatech corporation allocates its research and development budget : 14 % microphotonics ; 24 % home electronics ; 10 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics . if the arc of each sector of the graph is proportional to the percentage of the budget it represents , how many degrees of the circle are used to represent basic astrophysics research ?", - "Output Program": [ - "n0 = 14.0\nn1 = 24.0\nn2 = 10.0\nn3 = 29.0\nn4 = 8.0\nt0 = n0 + n1\nt1 = 3600.0 / 10.0\nt2 = n2 + t0\nt3 = n3 + t2\nt4 = n4 + t3\nt5 = 100.0 - t4\nt6 = t1 * t5\nanswer = t6 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "54" - ], - "split": "train" - }, - { - "Input": "the bankers discount of a certain sum of money is rs . 576 and the true discount on the same sum for the same time is rs . 480 . the sum due is :", - "Output Program": [ - "n0 = 576.0\nn1 = 480.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "2880" - ], - "split": "train" - }, - { - "Input": "a pair of articles was bought for $ 50 at a discount of 30 % . what must be the marked price of each of the article ?", - "Output Program": [ - "n0 = 50.0\nn1 = 30.0\nt0 = n0 / 2.0\nt1 = 100.0 - n1\nt2 = t0 * t1\nanswer = t2 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "17.5" - ], - "split": "train" - }, - { - "Input": "a 16 % stock yielding 8 % is quoted at ?", - "Output Program": [ - "n0 = 16.0\nn1 = 8.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "at an elementary school , 70 % of the faculty members are women and 40 % of the faculty members are married . if 1 \u2044 3 of the men are single , what fraction of the men are married ?", - "Output Program": [ - "n0 = 70.0\nn1 = 40.0\nn2 = 1.0\nn3 = 3.0\nt0 = n2 / n3\nanswer = 1.0 - t0\nprint(answer)" - ], - "Output Answer": [ - "0.6666666666666667" - ], - "split": "train" - }, - { - "Input": "by selling 8 pencils for a rupee a man loses 10 % . how many for a rupee should he sell in order to gain 10 % ?", - "Output Program": [ - "n0 = 8.0\nn1 = 10.0\nn2 = 10.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = 1.0 / t1\nt3 = t0 * t2\nt4 = 1.0 / t3\nanswer = n0 * t4\nprint(answer)" - ], - "Output Answer": [ - "6.545454545454545" - ], - "split": "train" - }, - { - "Input": "a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 10 % while buying and by 10 % while selling . what is his percentage profit ?", - "Output Program": [ - "n0 = 10.0\nn1 = 10.0\nt0 = n0 + 100.0\nt1 = 100.0 - n1\nt2 = t0 - t1\nt3 = t2 * 100.0\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "22.22222222222222" - ], - "split": "train" - }, - { - "Input": "a profit of rs . 20000 is to be distributed among a , b , c in the proportion 2 : 3 : 5 . what will be the difference between b \u2019 s and c \u2019 s shares", - "Output Program": [ - "n0 = 20000.0\nn1 = 2.0\nn2 = 3.0\nn3 = 5.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = n0 / t1\nt3 = n3 * t2\nt4 = n2 * t2\nanswer = t3 - t4\nprint(answer)" - ], - "Output Answer": [ - "4000" - ], - "split": "train" - }, - { - "Input": "a sum of money deposited at c . i . amounts to rs . 6000 in 6 years and to rs . 7500 in 7 years . find the rate percent ?", - "Output Program": [ - "n0 = 6000.0\nn1 = 6.0\nn2 = 7500.0\nn3 = 7.0\nt0 = n2 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "a dog breeder would like to make the largest profit off of his latest litter of puppies . puppies with more than 4 spots sell for more money . the last litter had 10 puppies ; 6 had 5 spots , 3 had 4 spots , and 1 had 2 spots . what % of puppies can the dog breeder expect to sell for a greater profit ?", - "Output Program": [ - "n0 = 4.0\nn1 = 10.0\nn2 = 6.0\nn3 = 5.0\nn4 = 3.0\nn5 = 4.0\nn6 = 1.0\nn7 = 2.0\nt0 = n0 + n3\nt1 = n7 + t0\nt2 = n1 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "90.9090909090909" - ], - "split": "train" - }, - { - "Input": "a chemist mixes one liter of pure water with x liters of a 50 % salt solution , and the resulting mixture is a 10 % salt solution . what is the value of x ?", - "Output Program": [ - "n0 = 50.0\nn1 = 10.0\nt0 = n0 - n1\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "0.25" - ], - "split": "train" - }, - { - "Input": "3 candidates in an election and received 1136 , 5636 and 11628 votes respectively . what % of the total votes did the winning candidate gotin that election ?", - "Output Program": [ - "n0 = 3.0\nn1 = 1136.0\nn2 = 5636.0\nn3 = 11628.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = n3 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "63.19565217391304" - ], - "split": "train" - }, - { - "Input": "4 is what percent of 50 ?", - "Output Program": [ - "n0 = 4.0\nn1 = 50.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "the profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448 . what should be the sale price for making 55 % profit ?", - "Output Program": [ - "n0 = 832.0\nn1 = 448.0\nn2 = 55.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nt2 = n2 * t1\nt3 = t2 / 100.0\nanswer = t3 + t1\nprint(answer)" - ], - "Output Answer": [ - "992" - ], - "split": "train" - }, - { - "Input": "the owner of a furniture shop charges his customer 24 % more than the cost price . if a customer paid rs . 8215 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 24.0\nn1 = 8215.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "6625" - ], - "split": "train" - }, - { - "Input": "of the land owned by a farmer , 90 percent was cleared for planting . of the cleared land , 20 percent was planted with potato and 70 percent of the cleared land was planted with tomato . if the remaining 630 acres of cleared land was planted with corn , how many acres did the farmer own ?", - "Output Program": [ - "n0 = 90.0\nn1 = 20.0\nn2 = 70.0\nn3 = 630.0\nt0 = n0 / 100.0\nt1 = 100.0 - n1\nt2 = t1 - n2\nt3 = t2 / 100.0\nt4 = t3 * t0\nanswer = n3 / t4\nprint(answer)" - ], - "Output Answer": [ - "6999.999999999999" - ], - "split": "train" - }, - { - "Input": "a man buys 56 pens at marked price of 46 pens from a whole seller . if he sells these pens giving a discount of 1 % , what is the profit percent ?", - "Output Program": [ - "n0 = 56.0\nn1 = 46.0\nn2 = 1.0\nt0 = n1 * 100.0\nt1 = 100.0 - n2\nt2 = n0 * t1\nt3 = t2 - t0\nt4 = t3 / t0\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20.52173913043478" - ], - "split": "train" - }, - { - "Input": "the present worth of rs . 1404 due in two equal half - yearly instalments at 8 % per annum . simple interest is :", - "Output Program": [ - "n0 = 1404.0\nn1 = 8.0\nt0 = n1 + 100.0\nt1 = n0 / 2.0\nt2 = n1 / 2.0\nt3 = t2 + 100.0\nt4 = t0 / 100.0\nt5 = t1 / t4\nt6 = t3 / 100.0\nt7 = t1 / t6\nanswer = t5 + t7\nprint(answer)" - ], - "Output Answer": [ - "1325" - ], - "split": "train" - }, - { - "Input": "john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price . if the final price was $ 19 , what was the price before the first discount ?", - "Output Program": [ - "n0 = 25.0\nn1 = 25.0\nn2 = 19.0\nt0 = 100.0 * 100.0\nt1 = 100.0 - n0\nt2 = n2 * t0\nt3 = t1 * 100.0\nt4 = n0 * t1\nt5 = t3 - t4\nanswer = t2 / t5\nprint(answer)" - ], - "Output Answer": [ - "33.77777777777778" - ], - "split": "train" - }, - { - "Input": "after getting 2 successive discounts , a shirt with a list price of rs 150 is available at rs 105 . if the second discount is 12.55 , find the first discount", - "Output Program": [ - "n0 = 2.0\nn1 = 150.0\nn2 = 105.0\nn3 = 12.55\nt0 = n2 * 100.0\nt1 = 100.0 - n3\nt2 = t0 / t1\nt3 = n1 - t2\nt4 = t3 * 100.0\nanswer = t4 / n1\nprint(answer)" - ], - "Output Answer": [ - "19.954259576901087" - ], - "split": "train" - }, - { - "Input": "of 300 surveyed students , 20 % of those who read book a also read book b and 50 % of those who read book b also read book a . if each student read at least one of the books , what is the difference between the number of students who read only book a and the number of students who read only book b ?", - "Output Program": [ - "n0 = 300.0\nn1 = 20.0\nn2 = 50.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = t0 / t1\nt3 = 1.0 - t1\nt4 = 1.0 - t0\nt5 = t2 + 1.0\nt6 = t5 - t0\nt7 = n0 / t6\nt8 = t7 * t2\nt9 = t7 * t4\nt10 = t8 * t3\nanswer = t10 - t9\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "if the cost price is 80 % of the selling price , then what is the profit percent ?", - "Output Program": [ - "n0 = 80.0\nt0 = 100.0 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "a tradesman sold an article at a loss of 10 % . if the selling price had been increased by $ 50 , there would have been a gain of 10 % . what was the cost price of the article ?", - "Output Program": [ - "n0 = 10.0\nn1 = 50.0\nn2 = 10.0\nt0 = n0 + n2\nt1 = t0 / 100.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "250" - ], - "split": "train" - }, - { - "Input": "in business , a and c invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by a and b was 2 : 3 , if rs 15,0000 was their profit , how much amount did b receive .", - "Output Program": [ - "n0 = 2.0\nn1 = 1.0\nn2 = 2.0\nn3 = 3.0\nn4 = 150000.0\nt0 = n0 + n1\nt1 = 2.0 + 3.0\nt2 = n3 + t0\nt3 = t1 * 3.0\nt4 = n3 / t2\nt5 = t3 * 100.0\nt6 = t5 * 100.0\nanswer = t4 * t6\nprint(answer)" - ], - "Output Answer": [ - "75000" - ], - "split": "train" - }, - { - "Input": "4000 was divided into two parts such a way that when first part was invested at 3 % and the second at 5 % , the whole annual interest from both the investments is rs . 144 , how much was put at 3 % ?", - "Output Program": [ - "n0 = 4000.0\nn1 = 3.0\nn2 = 5.0\nn3 = 144.0\nn4 = 3.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 * t0\nt3 = t0 - t1\nt4 = t2 - n3\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "2799.9999999999995" - ], - "split": "train" - }, - { - "Input": "if 20 % of a number = 200 , then 120 % of that number will be ?", - "Output Program": [ - "n0 = 20.0\nn1 = 200.0\nn2 = 120.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "1200" - ], - "split": "train" - }, - { - "Input": "5 / 8 of the population of the country of venezia lives in montague province , while the rest lives in capulet province . in the upcoming election , 80 % of montague residents support romeo , while 70 % of capulet residents support juliet ; each resident of venezia supports exactly one of these two candidates . rounded if necessary to the nearest percent , the probability that a juliet supporter chosen at random resides in capulet is", - "Output Program": [ - "n0 = 5.0\nn1 = 8.0\nn2 = 80.0\nn3 = 70.0\nt0 = n3 / 100.0\nt1 = n0 / n1\nt2 = n1 - n0\nt3 = 100.0 - n2\nt4 = t2 / n1\nt5 = t3 / 100.0\nt6 = t0 * t4\nt7 = t5 * t1\nt8 = t7 + t6\nt9 = t6 / t8\nanswer = t9 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "67.74193548387096" - ], - "split": "train" - }, - { - "Input": "a man took a loan at rate of 12 % per annum simple interest . after 3 years he had to pay 6480 interest . the principal amount borrowed by him was .", - "Output Program": [ - "n0 = 12.0\nn1 = 3.0\nn2 = 6480.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "18000" - ], - "split": "train" - }, - { - "Input": "the difference between simple and compound interest on rs . 1700 for one year at 10 % per annum reckoned half - yearly is ?", - "Output Program": [ - "n0 = 1700.0\nn1 = 10.0\nt0 = n1 / 2.0\nt1 = n1 / 100.0\nt2 = t1 + 1.0\nt3 = t0 / 100.0\nt4 = t3 + 1.0\nt5 = t4**min(2.0, 5)\nt6 = t5 - t2\nanswer = n0 * t6\nprint(answer)" - ], - "Output Answer": [ - "4.249999999999909" - ], - "split": "train" - }, - { - "Input": "vijay sells a cupboard at 16 % below cost price . had he got rs . 1800 more , he would have made a profit of 16 % . what is the cost price of the cupboard ?", - "Output Program": [ - "n0 = 16.0\nn1 = 1800.0\nn2 = 16.0\nt0 = n0 + 100.0\nt1 = 100.0 - n0\nt2 = t0 - t1\nt3 = t2 / 100.0\nanswer = n1 / t3\nprint(answer)" - ], - "Output Answer": [ - "5625" - ], - "split": "train" - }, - { - "Input": "jim is able to sell a hand - carved statue for $ 670 which was a 25 % profit over his cost . how much did the statue originally cost him ?", - "Output Program": [ - "n0 = 670.0\nn1 = 25.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "536" - ], - "split": "train" - }, - { - "Input": "sandy had $ 224 left after spending 30 % of the money she took for shopping . how much money did sandy take along with her ?", - "Output Program": [ - "n0 = 224.0\nn1 = 30.0\nt0 = 100.0 - n1\nt1 = t0 / 100.0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "320" - ], - "split": "train" - }, - { - "Input": "a tempo is insured to an extent of 4 / 5 of its original value . if the premium on it at the rate of 1.3 % amounts to $ 910 , the original value of the tempo is ?", - "Output Program": [ - "n0 = 4.0\nn1 = 5.0\nn2 = 1.3\nn3 = 910.0\nt0 = n0 / n1\nt1 = n2 * t0\nt2 = t1 / 100.0\nanswer = n3 / t2\nprint(answer)" - ], - "Output Answer": [ - "87500" - ], - "split": "train" - }, - { - "Input": "a bowl of fruit contains 14 apples and 20 oranges . how many oranges must be removed so that 70 % of the pieces of fruit in the bowl will be apples ?", - "Output Program": [ - "n0 = 14.0\nn1 = 20.0\nn2 = 70.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = t0 * t1\nt3 = t2 - n0\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "13.999999999999996" - ], - "split": "train" - }, - { - "Input": "a shopkeeper bought 600 oranges and 400 bananas . he found 15 % of oranges and 5 % of bananas were rotten . find the percentage of fruits in good condition ?", - "Output Program": [ - "n0 = 600.0\nn1 = 400.0\nn2 = 15.0\nn3 = 5.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = n0 * t1\nt4 = n1 * t2\nt5 = t3 + t4\nt6 = t0 - t5\nt7 = t6 / t0\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "89" - ], - "split": "train" - }, - { - "Input": "sonika deposited rs . 14500 which amounted to rs . 12200 after 3 years at simple interest . had the interest been 3 % more . she would get how much ?", - "Output Program": [ - "n0 = 14500.0\nn1 = 12200.0\nn2 = 3.0\nn3 = 3.0\nt0 = n3 / 100.0\nt1 = n1 - n0\nt2 = t1 / n2\nt3 = t2 / n0\nt4 = t0 + t3\nt5 = n0 * t4\nt6 = n2 * t5\nanswer = n0 + t6\nprint(answer)" - ], - "Output Answer": [ - "13505" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 298 after successive discount is 12 % and 15 % is ?", - "Output Program": [ - "n0 = 298.0\nn1 = 12.0\nn2 = 15.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "222.904" - ], - "split": "train" - }, - { - "Input": "a technician makes a round - trip to and from a certain service center by the same route . if the technician completes the drive to the center and then completes 20 percent of the drive from the center , what percent of the round - trip has the technician completed ?", - "Output Program": [ - "n0 = 20.0\nt0 = 100.0 / 2.0\nt1 = n0 * t0\nt2 = t1 / 100.0\nanswer = t0 + t2\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article for rs 2552.36 . approximately what was his profit percent if the cost price of the article was rs 2400", - "Output Program": [ - "import math\nn0 = 2552.36\nn1 = 2400.0\nt0 = n0 - n1\nt1 = t0 / n1\nt2 = t1 * 100.0\nanswer = math.floor(t2)\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "vijay sells a cupboard at 12 % below cost price . had he got rs . 1500 more , he would have made a profit of 12 % . what is the cost price of the cupboard ?", - "Output Program": [ - "n0 = 12.0\nn1 = 1500.0\nn2 = 12.0\nt0 = n0 + 100.0\nt1 = 100.0 - n0\nt2 = t0 - t1\nt3 = t2 / 100.0\nanswer = n1 / t3\nprint(answer)" - ], - "Output Answer": [ - "6250" - ], - "split": "train" - }, - { - "Input": "victor gets 90 % marks in examinations . if these are 405 marks , find the maximum marks .", - "Output Program": [ - "n0 = 90.0\nn1 = 405.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "450" - ], - "split": "train" - }, - { - "Input": "cricket match is conducted in us . the run rate of a cricket game was only 3.2 in first 10 over . what should be the run rate in the remaining 40 overs to reach the target of 272 runs ?", - "Output Program": [ - "n0 = 3.2\nn1 = 10.0\nn2 = 40.0\nn3 = 272.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "john makes $ 65 a week from his job . he earns a raise andnow makes $ 72 a week . what is the % increase ?", - "Output Program": [ - "n0 = 65.0\nn1 = 72.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10.76923076923077" - ], - "split": "train" - }, - { - "Input": "a book is bought for $ 60 and sold for $ 78 . what is the profit in percentage ?", - "Output Program": [ - "n0 = 60.0\nn1 = 78.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "find the c . i . on a sum of rs . 10000 for 6 months at 25 % per annum , interest being compounded quarterly ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 6.0\nn2 = 25.0\nt0 = 0.25 / 4.0\nt1 = t0 + 1.0\nt2 = t1 * t1\nt3 = n0 * t2\nanswer = t3 - n0\nprint(answer)" - ], - "Output Answer": [ - "1289.0625" - ], - "split": "train" - }, - { - "Input": "robert spent $ 100 in buying raw materials , $ 125 in buying machinery and 10 % of the total amount he had as cash with him . what was the total amount ?", - "Output Program": [ - "n0 = 100.0\nn1 = 125.0\nn2 = 10.0\n\nanswer = n1 + n1\nprint(answer)" - ], - "Output Answer": [ - "250" - ], - "split": "train" - }, - { - "Input": "a 12 % stock yields 8 % . the market value of the stock is :", - "Output Program": [ - "n0 = 12.0\nn1 = 8.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "a , band c enter into partnership . a invests 3 times as much as b and b invests two - third of what c invests . at the end of the year , the profit earned is rs . 5500 . what is the share of b ?", - "Output Program": [ - "n0 = 3.0\nn1 = 5500.0\nt0 = 2.0 / n0\nt1 = 2.0 * n0\nt2 = t0 * n0\nt3 = t1 + t2\nt4 = t3 + n0\nt5 = 2.0 / t4\nanswer = n1 * t5\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "train" - }, - { - "Input": "the salaries of a and b together amount to $ 4000 . a spends 95 % of his salary and b , 85 % of his . if now , their savings are the same , what is a ' s salary ?", - "Output Program": [ - "n0 = 4000.0\nn1 = 95.0\nn2 = 85.0\nt0 = 100.0 - n2\nt1 = 100.0 - n1\nt2 = t0 / t1\nt3 = t2 + 1.0\nt4 = n0 / t3\nanswer = n0 - t4\nprint(answer)" - ], - "Output Answer": [ - "3000" - ], - "split": "train" - }, - { - "Input": "michelle deposited a certain sum of money in a savings account on july 1 st , 2007 . she earns an 6 % interest compounded semiannually . the sum of money in the account on december 31 st , 2009 is approximately what percent of the initial deposit ?", - "Output Program": [ - "n0 = 1.0\nn1 = 2007.0\nn2 = 6.0\nn3 = 31.0\nn4 = 2009.0\nt0 = 2.0 + 3.0\nt1 = n2 / 100.0\nt2 = t1 / 2.0\nt3 = t2 + n0\nt4 = t3**min(t0, 5)\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "115.92740743" - ], - "split": "train" - }, - { - "Input": "in a park there are two ponds with both brown ducks and green ducks . in the smaller pond there are 20 ducks and in the larger pond there are 80 ducks . if 20 % of the ducks in the smaller pond are green and 15 % of the ducks in the larger pond are green , then what percentage of ducks are green ?", - "Output Program": [ - "n0 = 20.0\nn1 = 80.0\nn2 = 20.0\nn3 = 15.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = n0 * t1\nt4 = n1 * t2\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sells 20 % of his stock at 10 % profit ans sells the remaining at a loss of 5 % . he incurred an overall loss of rs . 400 . find the total worth of the stock ?", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nn2 = 5.0\nn3 = 400.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 / 100.0\nt3 = 100.0 - n0\nt4 = t3 / 100.0\nt5 = t1 * t2\nt6 = t0 * t4\nt7 = t6 - t5\nanswer = n3 / t7\nprint(answer)" - ], - "Output Answer": [ - "19999.999999999996" - ], - "split": "train" - }, - { - "Input": "in a city , 35 % of the population is composed of migrants , 20 % of whom are from rural areas . of the local population , 48 % is female while this figure for rural and urban migrants is 30 % and 40 % respectively . if the total population of the city is 728400 , what is its female population ?", - "Output Program": [ - "n0 = 35.0\nn1 = 20.0\nn2 = 48.0\nn3 = 30.0\nn4 = 40.0\nn5 = 728400.0\nt0 = n0 * n5\nt1 = t0 / 100.0\nt2 = n1 * t1\nt3 = n5 - t1\nt4 = t2 / 100.0\nt5 = n2 * t3\nt6 = t5 / 100.0\nt7 = n3 * t4\nt8 = t1 - t4\nt9 = t7 / 100.0\nt10 = n4 * t8\nt11 = t6 + t9\nt12 = t10 / 100.0\nanswer = t11 + t12\nprint(answer)" - ], - "Output Answer": [ - "324138" - ], - "split": "train" - }, - { - "Input": "compound interest of rs . 4000 at 10 % per annum for 1 1 / 2 years will be ( interest compounded half yearly ) .", - "Output Program": [ - "n0 = 4000.0\nn1 = 10.0\nn2 = 1.0\nn3 = 1.0\nn4 = 2.0\nt0 = n1 / 2.0\nt1 = n2 / n4\nt2 = n2 + t1\nt3 = t0 / 100.0\nt4 = t3 + 1.0\nt5 = t2 * 2.0\nt6 = t4**min(t5, 5)\nt7 = n0 * t6\nanswer = t7 - n0\nprint(answer)" - ], - "Output Answer": [ - "630.5000000000009" - ], - "split": "train" - }, - { - "Input": "sheela deposits rs . 3800 in bank savings account . if this is 22 % of her monthly income . what is her monthly income in ?", - "Output Program": [ - "n0 = 3800.0\nn1 = 22.0\nt0 = n0 * 100.0\nanswer = t0 / n1\nprint(answer)" - ], - "Output Answer": [ - "17272.727272727272" - ], - "split": "train" - }, - { - "Input": "two equal sums of money were invested , one at 4 % and the other at 4.5 % . at the end of 7 years , the simple interest received from the latter exceeded to that received from the former by 31.50 . each sum was :", - "Output Program": [ - "n0 = 4.0\nn1 = 4.5\nn2 = 7.0\nn3 = 31.5\nt0 = n1 - n0\nt1 = n3 / t0\nt2 = t1 * 100.0\nanswer = t2 / n2\nprint(answer)" - ], - "Output Answer": [ - "900" - ], - "split": "train" - }, - { - "Input": "the malibu country club needs to drain its pool for refinishing . the hose they use to drain it can remove 60 cubic feet of water per minute . if the pool is 50 feet wide by 150 feet long by 10 feet deep and is currently at 80 % capacity , how long will it take to drain the pool ?", - "Output Program": [ - "n0 = 60.0\nn1 = 50.0\nn2 = 150.0\nn3 = 10.0\nn4 = 80.0\nt0 = n4 / 100.0\nt1 = n1 * n2\nt2 = n3 * t1\nt3 = t0 * t2\nanswer = t3 / n0\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "train" - }, - { - "Input": "if the cost price is 40 % of selling price . then what is the profit percent .", - "Output Program": [ - "n0 = 40.0\nt0 = 100.0 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "a 340 - liter solution of kola is made from 75 % water , 5 % concentrated kola and the rest is made from sugar . if 3.2 liters of sugar , 12 liter of water and 6.8 liters of concentrated kola were added to the solution , what percent of the solution is made from sugar ?", - "Output Program": [ - "n0 = 340.0\nn1 = 75.0\nn2 = 5.0\nn3 = 3.2\nn4 = 12.0\nn5 = 6.8\nt0 = n0 + n3\nt1 = n1 / 100.0\nt2 = n2 / 100.0\nt3 = n4 + t0\nt4 = n0 * t1\nt5 = n0 * t2\nt6 = n5 + t3\nt7 = n0 - t4\nt8 = t7 - t5\nt9 = n3 + t8\nt10 = t9 / t6\nanswer = t10 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "19.66850828729282" - ], - "split": "train" - }, - { - "Input": "a dishonest dealer professes to sell goods at the cost price but uses a weight of 950 grams per kg , what is his percent ?", - "Output Program": [ - "n0 = 950.0\nt0 = 2.0 + 3.0\nt1 = 100.0 / n0\nt2 = t0 * 2.0\nt3 = t2 * 100.0\nt4 = t1 * t3\nanswer = t4 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "5.263157894736835" - ], - "split": "train" - }, - { - "Input": "reena took a loan of $ . 1200 with simple interest for as many years as the rate of interest . if she paid $ 192 as interest at the end of the loan period , what was the rate of interest ?", - "Output Program": [ - "import math\nn0 = 1200.0\nn1 = 192.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nanswer = math.sqrt(max(0, t1))\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "last year the range of the annual yield on equal amount of investments in 100 mutual funds was $ 10000 . if the annual yield this year for each of the 100 mutual funds has improved by 15 percent this year than it was last year , what is the range of the annual yield on mutual funds this year ?", - "Output Program": [ - "n0 = 100.0\nn1 = 10000.0\nn2 = 100.0\nn3 = 15.0\nt0 = n3 / n0\nt1 = n1 * t0\nanswer = n1 + t1\nprint(answer)" - ], - "Output Answer": [ - "11500" - ], - "split": "train" - }, - { - "Input": "a shopkeeper buys two articles for rs . 1000 each and then sells them , making 10 % profit on the first article and 10 % loss on second article . find the net profit or loss percent ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 10.0\nn2 = 10.0\nt0 = n1 + 100.0\nt1 = n0 + n0\nt2 = 100.0 - n1\nt3 = 100.0 / t2\nt4 = 100.0 / t0\nt5 = n0 * t3\nt6 = n0 * t4\nt7 = t5 + t6\nt8 = t7 - t1\nt9 = t8 * 100.0\nt10 = t9 / t7\nanswer = t10 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "99.99999999999946" - ], - "split": "train" - }, - { - "Input": "if c is 25 % of a and 10 % of b , what percent of a is b ?", - "Output Program": [ - "n0 = 25.0\nn1 = 10.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "250" - ], - "split": "train" - }, - { - "Input": "a portion of the 50 % solution of chemicals was replaced with an equal amount of 60 % solution of chemicals . as a result , 55 % solution of chemicals resulted . what part of the original solution was replaced ?", - "Output Program": [ - "n0 = 50.0\nn1 = 60.0\nn2 = 55.0\nt0 = n0 - n2\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.5" - ], - "split": "train" - }, - { - "Input": "a man buys a cycle for rs . 800 and sells it at a loss of 15 % . what is the selling price of the cycle ?", - "Output Program": [ - "n0 = 800.0\nn1 = 15.0\nt0 = 100.0 - n1\nt1 = n0 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "680" - ], - "split": "train" - }, - { - "Input": "at what price must an article costing rs . 47.50 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 25 % on the cost price ?", - "Output Program": [ - "n0 = 47.5\nn1 = 5.0\nn2 = 25.0\nt0 = n0 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 + t2\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "62.5" - ], - "split": "train" - }, - { - "Input": "3 candidates in an election and received 1136 , 7636 and 10628 votes respectively . what % of the total votes did the winning candidate gotin that election ?", - "Output Program": [ - "n0 = 3.0\nn1 = 1136.0\nn2 = 7636.0\nn3 = 10628.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = n3 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "54.78350515463918" - ], - "split": "train" - }, - { - "Input": "if albert \u2019 s monthly earnings rise by 27 % , he would earn $ 567 . if , instead , his earnings rise by only 26 % , how much ( in $ ) would he earn this month ?", - "Output Program": [ - "n0 = 27.0\nn1 = 567.0\nn2 = 26.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = n1 / t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "562.5354330708661" - ], - "split": "train" - }, - { - "Input": "indu gave bindu rs . 1250 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?", - "Output Program": [ - "n0 = 1250.0\nn1 = 2.0\nn2 = 4.0\nn3 = 2.0\nn4 = 4.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = n0 * t0\nt3 = n1 * t2\nt4 = t1**min(n1, 5)\nt5 = n0 * t4\nt6 = t5 - n0\nanswer = t6 - t3\nprint(answer)" - ], - "Output Answer": [ - "2.0000000000002274" - ], - "split": "train" - }, - { - "Input": "add 15 % of 25 and 12 % of 45 .", - "Output Program": [ - "n0 = 15.0\nn1 = 25.0\nn2 = 12.0\nn3 = 45.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nanswer = t2 + t3\nprint(answer)" - ], - "Output Answer": [ - "9.15" - ], - "split": "train" - }, - { - "Input": "tom purchased 8 kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 75 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 8.0\nn1 = 70.0\nn2 = 9.0\nn3 = 75.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1235" - ], - "split": "train" - }, - { - "Input": "an investment yields an interest payment of $ 231 each month . if the simple annual interest rate is 9 % , what is the amount of the investment ?", - "Output Program": [ - "n0 = 231.0\nn1 = 9.0\nt0 = 3.0 * 4.0\nt1 = n1 / t0\nt2 = n0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "30800" - ], - "split": "train" - }, - { - "Input": "what amount does an investor receive if the investor invests $ 6000 at 10 % p . a . compound interest for two years , compounding done annually ?", - "Output Program": [ - "n0 = 6000.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "7260.000000000001" - ], - "split": "train" - }, - { - "Input": "a man buys 58 pens at marked price of 46 pens from a whole seller . if he sells these pens giving a discount of 1 % , what is the profit percent ?", - "Output Program": [ - "n0 = 58.0\nn1 = 46.0\nn2 = 1.0\nt0 = n1 * 100.0\nt1 = 100.0 - n2\nt2 = n0 * t1\nt3 = t2 - t0\nt4 = t3 / t0\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "24.82608695652174" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 200 after successive discount is 10 % and 5 % is ?", - "Output Program": [ - "n0 = 200.0\nn1 = 10.0\nn2 = 5.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "171" - ], - "split": "train" - }, - { - "Input": "the bankers discount of a certain sum of money is rs . 144 and the true discount on the same sum for the same time is rs . 120 . the sum due is :", - "Output Program": [ - "n0 = 144.0\nn1 = 120.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "720" - ], - "split": "train" - }, - { - "Input": "find the missing figures : 0.75 % of ? = 0.06", - "Output Program": [ - "n0 = 0.75\nn1 = 0.06\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "the salary of a typist was at first raised by 10 % and then the same was reduced by 5 % . if he presently draws rs . 5225 . what was his original salary ?", - "Output Program": [ - "n0 = 10.0\nn1 = 5.0\nn2 = 5225.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "5000" - ], - "split": "train" - }, - { - "Input": "the regular price per can of a certain brand of soda is $ 0.15 . if the regular price per can is discounted 10 percent when the soda is purchased in 24 - can cases , what is the price of 75 cans of this brand of soda purchased in 24 - can cases ?", - "Output Program": [ - "n0 = 0.15\nn1 = 10.0\nn2 = 24.0\nn3 = 75.0\nn4 = 24.0\nt0 = n0 * n3\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nanswer = t2 * t0\nprint(answer)" - ], - "Output Answer": [ - "10.125" - ], - "split": "train" - }, - { - "Input": "a grocer has 400 pounds of coffee in stock , 30 percent of which is decaffeinated . if the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated , what percent , by weight , of the grocer \u2019 s stock of coffee is decaffeinated ?", - "Output Program": [ - "n0 = 400.0\nn1 = 30.0\nn2 = 100.0\nn3 = 60.0\nt0 = n0 + n2\nt1 = n1 / n2\nt2 = n3 / n2\nt3 = n0 * t1\nt4 = n2 * t2\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * n2\nprint(answer)" - ], - "Output Answer": [ - "36" - ], - "split": "train" - }, - { - "Input": "shop offered 30 % offer for every shirt , smith bought a shirt at rs . 560 . and what was the shop ' s original selling price ?", - "Output Program": [ - "n0 = 30.0\nn1 = 560.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "train" - }, - { - "Input": "company kw is being sold , and both company a and company b were considering the purchase . the price of company kw is 20 % more than company a has in assets , and this same price is also 100 % more than company b has in assets . if companies a and b were to merge and combine their assets , the price of company kw would be approximately what percent of these combined assets ?", - "Output Program": [ - "n0 = 20.0\nn1 = 100.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nt2 = n1 + t1\nt3 = t0 / t2\nanswer = t3 * n1\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "train" - }, - { - "Input": "a bowl of fruit contains 12 apples and 23 oranges . how many oranges must be removed so that 60 % of the pieces of fruit in the bowl will be apples ?", - "Output Program": [ - "n0 = 12.0\nn1 = 23.0\nn2 = 60.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = t0 * t1\nt3 = t2 - n0\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "the salary of a worker is first increased by 25 % and afterwards reduced by 25 % . what is the net change in the worker ' s salary ?", - "Output Program": [ - "n0 = 25.0\nn1 = 25.0\nt0 = n0 + 100.0\nt1 = n0 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "6.25" - ], - "split": "train" - }, - { - "Input": "15 litres of mixture contains 25 % alcohol and the rest water . if 3 litres of water be mixed with it , the percentage of alcohol in the new mixture would be ?", - "Output Program": [ - "n0 = 15.0\nn1 = 25.0\nn2 = 3.0\nt0 = n0 + n2\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nt3 = n0 * t2\nt4 = n2 + t3\nt5 = t0 - t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20.833333333333336" - ], - "split": "train" - }, - { - "Input": "rs . 800 becomes rs . 956 in 3 years at a certain rate of simple interest . if the rate of interest is increased by 4 % , what amount will rs . 800 become in 3 years ?", - "Output Program": [ - "n0 = 800.0\nn1 = 956.0\nn2 = 3.0\nn3 = 4.0\nn4 = 800.0\nn5 = 3.0\nt0 = n0 * n2\nt1 = n1 - n0\nt2 = t1 * 100.0\nt3 = t2 / t0\nt4 = n3 + t3\nt5 = n0 * t4\nt6 = n2 * t5\nt7 = t6 / 100.0\nanswer = n0 + t7\nprint(answer)" - ], - "Output Answer": [ - "1052" - ], - "split": "train" - }, - { - "Input": "a certain college ' s enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991 , and its enrollment at the beginning of 1993 was 15 percent greater than it was at the beginning of 1992 . the college ' s enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ?", - "Output Program": [ - "n0 = 1992.0\nn1 = 20.0\nn2 = 1991.0\nn3 = 1993.0\nn4 = 15.0\nn5 = 1992.0\nn6 = 1993.0\nn7 = 1991.0\nt0 = n1 + 100.0\nt1 = n4 + 100.0\nt2 = t1 / 100.0\nt3 = t0 * t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "38" - ], - "split": "train" - }, - { - "Input": "sonika deposited rs . 6200 which amounted to rs . 7200 after 5 years at simple interest . had the interest been 3 % more . she would get how much ?", - "Output Program": [ - "n0 = 6200.0\nn1 = 7200.0\nn2 = 5.0\nn3 = 3.0\nt0 = n3 / 100.0\nt1 = n1 - n0\nt2 = t1 / n2\nt3 = t2 / n0\nt4 = t0 + t3\nt5 = n0 * t4\nt6 = n2 * t5\nanswer = n0 + t6\nprint(answer)" - ], - "Output Answer": [ - "8130" - ], - "split": "train" - }, - { - "Input": "a man invested rs . 4940 in rs . 10 shares quoted at rs . 9.50 . if the rate of dividend be 14 % , his annual income is", - "Output Program": [ - "n0 = 4940.0\nn1 = 10.0\nn2 = 9.5\nn3 = 14.0\nt0 = n3 / 100.0\nt1 = n0 / n2\nt2 = n1 * t1\nanswer = t0 * t2\nprint(answer)" - ], - "Output Answer": [ - "728.0000000000001" - ], - "split": "train" - }, - { - "Input": "tom opened a shop investing rs . 30000 . jose joined him 2 months later , investing rs . 45000 . they earned a profit of rs . 27000 after completion of one year . what will be jose ' s share of profit ?", - "Output Program": [ - "n0 = 30000.0\nn1 = 2.0\nn2 = 45000.0\nn3 = 27000.0\nt0 = n1 * 3.0\nt1 = t0 * n1\nt2 = n0 * t1\nt3 = t1 - n1\nt4 = n2 * t3\nt5 = t4 + t2\nt6 = t2 / t5\nt7 = 1.0 - t6\nanswer = n3 * t7\nprint(answer)" - ], - "Output Answer": [ - "15000" - ], - "split": "train" - }, - { - "Input": "walking 7 / 6 of his usual rate , a boy reaches his school 5 min early . find his usual time to reach the school ?", - "Output Program": [ - "n0 = 7.0\nn1 = 6.0\nn2 = 5.0\n\nanswer = n0 * n2\nprint(answer)" - ], - "Output Answer": [ - "35" - ], - "split": "train" - }, - { - "Input": "there were two candidates in an election . winner candidate received 56 % of votes and won the election by 288 votes . find the number of votes casted to the winning candidate ?", - "Output Program": [ - "n0 = 56.0\nn1 = 288.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nt3 = n1 / t2\nt4 = n0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1344" - ], - "split": "train" - }, - { - "Input": "a polling company surveyed a certain country , and it found that 35 % of that country \u2019 s registered voters had an unfavorable impression of both of that state \u2019 s major political parties and that 20 % had a favorable impression only of party e . if one registered voter has a favorable impression of both parties for every two registered voters who have a favorable impression only of party b , then what percentage of the country \u2019 s registered voters have a favorable impression of both parties ( assuming that respondents to the poll were given a choice between favorable and unfavorable impressions only ) ?", - "Output Program": [ - "n0 = 35.0\nn1 = 20.0\nt0 = n0 + n1\nt1 = 100.0 - t0\nanswer = t1 / 3.0\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "a typist uses a sheet measuring 20 cm by 30 cm lengthwise . if a margin of 2 cm is left on each side and a 3 cm margin on top and bottom , then percent of the page used for typing is", - "Output Program": [ - "n0 = 20.0\nn1 = 30.0\nn2 = 2.0\nn3 = 3.0\nt0 = n3 + n3\nt1 = n0 * n1\nt2 = n0 - 4.0\nt3 = n1 - t0\nt4 = t3 * t2\nt5 = t4 / t1\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "64" - ], - "split": "train" - }, - { - "Input": "calculate how long it will take a swimmer to swim a distance of 8 km against the current of a river which flows at 1.4 km / hr , given that he can swim in still water at 3 km / h", - "Output Program": [ - "n0 = 8.0\nn1 = 1.4\nn2 = 3.0\nt0 = n2 - n1\nanswer = n0 / t0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "a man buys a cycle for rs . 2300 and sells it at a loss of 30 % . what is the selling price of the cycle ?", - "Output Program": [ - "n0 = 2300.0\nn1 = 30.0\nt0 = 100.0 - n1\nt1 = n0 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1610" - ], - "split": "train" - }, - { - "Input": "one - third of 1200 is what percent of 236 ?", - "Output Program": [ - "n0 = 1200.0\nn1 = 236.0\nt0 = n0 / 3.0\nt1 = t0 / n1\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "169.4915254237288" - ], - "split": "train" - }, - { - "Input": "the population of a town is 30000 . it decreases annually at the rate of 20 % p . a . what will be its population after 2 years ?", - "Output Program": [ - "n0 = 30000.0\nn1 = 20.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n0 - t1\nt3 = t0 * t2\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "19200" - ], - "split": "train" - }, - { - "Input": "a trader bought a car at 20 % discount on its original price . he sold it at a 45 % increase on the price he bought it . what percent of profit did he make on the original price ?", - "Output Program": [ - "n0 = 20.0\nn1 = 45.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 / 100.0\nt4 = t3 / 100.0\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "15.999999999999993" - ], - "split": "train" - }, - { - "Input": "you enter a weight loss challenge game and manage to lose 14 % of your body weight . for the final weigh in you are forced to wear clothes that add 2 % to your weight . what percentage of weight loss is measured at the final weigh in ?", - "Output Program": [ - "n0 = 14.0\nn1 = 2.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = 1.0 - t4\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12.280000000000001" - ], - "split": "train" - }, - { - "Input": "an escalator moves towards the top level at the rate of 15 ft . sec and its length is 200 feet . if a person walks on the moving escalator at the rate of 5 feet per second towards the top level , how much time does he take to cover the entire length .", - "Output Program": [ - "n0 = 15.0\nn1 = 200.0\nn2 = 5.0\nt0 = n0 + n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "an escalator moves towards the top level at the rate of 12 ft . sec and its length is 210 feet . if a person walks on the moving escalator at the rate of 2 feet per second towards the top level , how much time does he take to cover the entire length .", - "Output Program": [ - "n0 = 12.0\nn1 = 210.0\nn2 = 2.0\nt0 = n0 + n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs . 360 . find the principal ?", - "Output Program": [ - "n0 = 2.0\nn1 = 20.0\nn2 = 360.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n0 * t0\nt3 = t2 + 1.0\nt4 = t1**min(n0, 5)\nt5 = t4 - t3\nanswer = n2 / t5\nprint(answer)" - ], - "Output Answer": [ - "8999.999999999993" - ], - "split": "train" - }, - { - "Input": "the difference between c . i . and s . i . on an amount of $ 10,000 for 2 years is $ 36 . what is the rate of interest per annum ?", - "Output Program": [ - "import math\nn0 = 10000.0\nn1 = 2.0\nn2 = 36.0\n\nanswer = math.sqrt(max(0, n2))\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "in an election between two candidates , the winner has a margin of 10 % of the votes polled . if 3000 people change their mind and vote for the loser , the loser would have won by a margin of 10 % of the votes polled . find the total number of votes polled in the election ?", - "Output Program": [ - "n0 = 10.0\nn1 = 3000.0\nn2 = 10.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "30000" - ], - "split": "train" - }, - { - "Input": "a sum was put at simple interest at a certain rate for 7 years had it been put at 2 % higher rate , it would have fetched 140 more . find the sum .", - "Output Program": [ - "n0 = 7.0\nn1 = 2.0\nn2 = 140.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "999.9999999999999" - ], - "split": "train" - }, - { - "Input": "a man can row his boat with the stream at 16 km / h and against the stream in 4 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 16.0\nn1 = 4.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "the salaries of a and b together amount to $ 6000 . a spends 95 % of his salary and b , 85 % of his . if now , their savings are the same , what is a ' s salary ?", - "Output Program": [ - "n0 = 6000.0\nn1 = 95.0\nn2 = 85.0\nt0 = 100.0 - n2\nt1 = 100.0 - n1\nt2 = t0 / t1\nt3 = t2 + 1.0\nt4 = n0 / t3\nanswer = n0 - t4\nprint(answer)" - ], - "Output Answer": [ - "4500" - ], - "split": "train" - }, - { - "Input": "an empty fuel tank with a capacity of 214 gallons was filled partially with fuel a and then to capacity with fuel b . fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume . if the full fuel tank contains 30 gallons of ethanol , how many gallons of fuel a were added ?", - "Output Program": [ - "n0 = 214.0\nn1 = 12.0\nn2 = 16.0\nn3 = 30.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 * t0\nt3 = t0 - t1\nt4 = t2 - n3\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "106.00000000000003" - ], - "split": "train" - }, - { - "Input": "of the 120 passengers on flight 750 , 55 % are female . 10 % of the passengers sit in first class , and the rest of the passengers sit in coach class . if 1 / 3 of the passengers in first class are male , how many females are there in coach class ?", - "Output Program": [ - "n0 = 120.0\nn1 = 750.0\nn2 = 55.0\nn3 = 10.0\nn4 = 1.0\nn5 = 3.0\nt0 = n2 / 100.0\nt1 = n3 / 100.0\nt2 = n0 * t0\nt3 = n0 * t1\nt4 = t3 / n5\nt5 = t3 - t4\nanswer = t2 - t5\nprint(answer)" - ], - "Output Answer": [ - "58" - ], - "split": "train" - }, - { - "Input": "a , b and c started a partnership business by investing rs . 24000 , rs . 32000 , rs . 36000 respectively . at the end of the year , the profit were distributed among them . if c ' s share of profit is 36000 , what is the total profit ?", - "Output Program": [ - "n0 = 24000.0\nn1 = 32000.0\nn2 = 36000.0\nn3 = 36000.0\nt0 = n0 / n2\nt1 = n1 / n2\nt2 = n3 * t0\nt3 = n3 * t1\nt4 = t2 + t3\nanswer = n3 + t4\nprint(answer)" - ], - "Output Answer": [ - "92000" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 400 after successive discount is 20 % and 15 % is ?", - "Output Program": [ - "n0 = 400.0\nn1 = 20.0\nn2 = 15.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "272" - ], - "split": "train" - }, - { - "Input": "a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 800 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 25.0\nn1 = 5.0\nn2 = 800.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "37 . if the cost price of 15 tables be equal to the selling price of 20 tables , the loss per cent is ?", - "Output Program": [ - "n0 = 37.0\nn1 = 15.0\nn2 = 20.0\nt0 = n2 - n1\nt1 = t0 / n2\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "find the amount on rs . 5000 in 2 years , the rate of interest being 5 % per first year and 6 % for the second year ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 2.0\nn2 = 5.0\nn3 = 6.0\nt0 = n3 + 100.0\nt1 = n2 + 100.0\nt2 = n0 * t1\nt3 = t2 / 100.0\nt4 = t0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "5565" - ], - "split": "train" - }, - { - "Input": "a milk man has 30 liters of milk . if he mixes 5 liters of water , which is freely available , in 20 liters of pure milk . if the cost of pure milk is rs . 18 per liter , then the profit of the milkman , when he sells all the mixture at cost price is :", - "Output Program": [ - "n0 = 30.0\nn1 = 5.0\nn2 = 20.0\nn3 = 18.0\nt0 = n1 + n2\nt1 = n1 / 2.0\nt2 = n0 * n3\nt3 = t0 + 10.0\nt4 = t1 + 3.0\nt5 = t3 + t4\nt6 = n3 * t5\nt7 = t6 - t2\nt8 = t7 / t2\nanswer = t8 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "35" - ], - "split": "train" - }, - { - "Input": "a watch was sold at a loss of 10 % . if it was sold for rs . 225 more , there would have been a gain of 5 % . what is the cost price ?", - "Output Program": [ - "n0 = 10.0\nn1 = 225.0\nn2 = 5.0\nt0 = 100.0 + n2\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t0 - t2\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "1500" - ], - "split": "train" - }, - { - "Input": "p runs 20 % faster than q so p gives q a 300 meter head start . if the race ends in a tie , how far ( in meters ) did p run in the race ?", - "Output Program": [ - "n0 = 20.0\nn1 = 300.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nanswer = n1 + t1\nprint(answer)" - ], - "Output Answer": [ - "1800" - ], - "split": "train" - }, - { - "Input": "the population of a town increases 25 % and 30 % respectively in two consecutive years . after the growth the present population of the town is 1950 . then what is the population of the town 2 years ago ?", - "Output Program": [ - "n0 = 25.0\nn1 = 30.0\nn2 = 1950.0\nn3 = 2.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "1200" - ], - "split": "train" - }, - { - "Input": "a retailer purchases shirts from a wholesaler and then sells the shirts in her store at a retail price that is 80 percent greater than the wholesale price . if the retailer decreases the retail price by 25 percent this will have the same effect as increasing the wholesale price by what percent ?", - "Output Program": [ - "n0 = 80.0\nn1 = 25.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "35.00000000000001" - ], - "split": "train" - }, - { - "Input": "a retailer buys a radio for rs 225 . his overhead expenses are rs 15 . he sellis the radio for rs 300 . the profit percent of the retailer is", - "Output Program": [ - "n0 = 225.0\nn1 = 15.0\nn2 = 300.0\nt0 = n0 + n1\nt1 = n2 / t0\nt2 = t1 * 100.0\nanswer = t2 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "fresh grapes contain 90 % by weight while dried grapes contain 20 % water by weight . what is the weight of dry grapes available from 5 kg of fresh grapes ?", - "Output Program": [ - "n0 = 90.0\nn1 = 20.0\nn2 = 5.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = n2 * t0\nt3 = t2 / 100.0\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "0.625" - ], - "split": "train" - }, - { - "Input": "the simple interest on a certain sum of money at the rate of 5 % p . a . for 8 years is rs . 840 . at what rate of interest the same amount of interest can be received on the same sum after 5 years ?", - "Output Program": [ - "n0 = 5.0\nn1 = 8.0\nn2 = 840.0\nn3 = 5.0\nt0 = n2 / n0\nt1 = n2 / n1\nt2 = n0 / 100.0\nt3 = t1 / t2\nt4 = t0 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "what is the rate percent when the simple interest on rs . 1200 amount to rs . 400 in 4 years ?", - "Output Program": [ - "n0 = 1200.0\nn1 = 400.0\nn2 = 4.0\nt0 = n1 * 100.0\nt1 = n0 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "8.333333333333334" - ], - "split": "train" - }, - { - "Input": "a man has $ 10,000 to invest . he invests $ 4000 at 5 % and $ 3500 at 4 % . in order to have a yearly income of $ 500 , he must invest the remainder at", - "Output Program": [ - "n0 = 10000.0\nn1 = 4000.0\nn2 = 5.0\nn3 = 3500.0\nn4 = 4.0\nn5 = 500.0\nt0 = n1 / 100.0\nt1 = n3 / 100.0\nt2 = 100.0 * 100.0\nt3 = n2 * t0\nt4 = n4 * t1\nt5 = t2 - n1\nt6 = n5 - t3\nt7 = t5 - n3\nt8 = t7 / 100.0\nt9 = t6 - t4\nanswer = t9 / t8\nprint(answer)" - ], - "Output Answer": [ - "6.4" - ], - "split": "train" - }, - { - "Input": "the banker \u00e2 \u20ac \u2122 s gain on a sum due 3 years hence at 12 % per annum is rs . 90 . the banker \u00e2 \u20ac \u2122 s discount is", - "Output Program": [ - "n0 = 3.0\nn1 = 12.0\nn2 = 90.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nt2 = t0 / t1\nanswer = n2 + t2\nprint(answer)" - ], - "Output Answer": [ - "340" - ], - "split": "train" - }, - { - "Input": "in a certain company 20 % of the men and 40 % of the women attended the annual company picnic . if 55 % of all the employees are men . what % of all the employee went to the picnic ?", - "Output Program": [ - "n0 = 20.0\nn1 = 40.0\nn2 = 55.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = 100.0 - n2\nt4 = t3 / 100.0\nt5 = t0 * t1\nt6 = t4 * t2\nt7 = t5 + t6\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "29.000000000000004" - ], - "split": "train" - }, - { - "Input": "the market value of a 10.5 % stock , in which an income of rs . 756 is derived by investing rs . 7000 , brokerage being 1 / 4 % , is :", - "Output Program": [ - "n0 = 10.5\nn1 = 756.0\nn2 = 7000.0\nn3 = 1.0\nn4 = 4.0\nt0 = n2 / n1\nt1 = n3 / n4\nt2 = n0 * t0\nanswer = t2 - t1\nprint(answer)" - ], - "Output Answer": [ - "96.97222222222223" - ], - "split": "train" - }, - { - "Input": "in town x , 60 percent of the population are employed , and 15 percent of the population are employed males . what percent of the employed people in town x are females ?", - "Output Program": [ - "n0 = 60.0\nn1 = 15.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "train" - }, - { - "Input": "at what price must an article costing rs . 57 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 25 % on the cost price ?", - "Output Program": [ - "n0 = 57.0\nn1 = 5.0\nn2 = 25.0\nt0 = n0 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 + t2\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "train" - }, - { - "Input": "a man can row his boat with the stream at 25 km / h and against the stream in 13 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 25.0\nn1 = 13.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "what is the cp of rs 100 stock at 5 discount , with 1 / 5 % brokerage ?", - "Output Program": [ - "n0 = 100.0\nn1 = 5.0\nn2 = 1.0\nn3 = 5.0\nt0 = n2 / n3\nt1 = n0 - n1\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "95.2" - ], - "split": "train" - }, - { - "Input": "john makes $ 50 a week from his job . he earns a raise andnow makes $ 75 a week . what is the % increase ?", - "Output Program": [ - "n0 = 50.0\nn1 = 75.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "by selling 16 pens for a rupee a woman loses 5 % . how many for a rupee should he sell in order to gain 18 % ?", - "Output Program": [ - "n0 = 16.0\nn1 = 5.0\nn2 = 18.0\nt0 = 100.0 - n1\nt1 = 100.0 / t0\nt2 = t1 / n0\nt3 = n2 * t2\nt4 = t3 / 100.0\nt5 = t2 + t4\nanswer = 1 / t5\nprint(answer)" - ], - "Output Answer": [ - "12.881355932203391" - ], - "split": "train" - }, - { - "Input": "a , b and c invested rs . 6300 , rs . 4200 and rs . 10500 respectively , in a partnership business . find the share of a in profit of rs . 12600 after a year ?", - "Output Program": [ - "n0 = 6300.0\nn1 = 4200.0\nn2 = 10500.0\nn3 = 12600.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n0 / t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "3780" - ], - "split": "train" - }, - { - "Input": "of the 600 residents of clermontville , 35 % watch the television show island survival , 40 % watch lovelost lawyers and 50 % watch medical emergency . if all residents watch at least one of these 3 shows and 18 % watch exactly 2 of these shows , then how many clermontville residents c watch all of the shows ?", - "Output Program": [ - "n0 = 600.0\nn1 = 35.0\nn2 = 40.0\nn3 = 50.0\nn4 = 3.0\nn5 = 18.0\nn6 = 2.0\nt0 = n1 / 100.0\nt1 = n3 / 100.0\nt2 = n2 / 100.0\nt3 = n5 / 100.0\nt4 = n0 * t0\nt5 = n0 * t1\nt6 = n0 * t2\nt7 = n0 * t3\nt8 = t4 + t5\nt9 = t8 + t6\nt10 = t9 - n0\nt11 = t10 - t7\nanswer = t11 / n6\nprint(answer)" - ], - "Output Answer": [ - "21" - ], - "split": "train" - }, - { - "Input": "julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest . after two years she earned $ 120 and $ 124 from the simple interest account and the compound interest account respectively . if the interest rates for both accounts were the same , what was the amount of julie ' s initial savings ?", - "Output Program": [ - "n0 = 120.0\nn1 = 124.0\nt0 = n1 - n0\nt1 = t0 * 2.0\nt2 = t1 / n0\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "1800" - ], - "split": "train" - }, - { - "Input": "mr . karan borrowed a certain amount at 6 % per annum simple interest for 9 years . after 9 years , he returned rs . 8410 / - . find out the amount that he borrowed .", - "Output Program": [ - "n0 = 6.0\nn1 = 9.0\nn2 = 9.0\nn3 = 8410.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nanswer = n3 / t2\nprint(answer)" - ], - "Output Answer": [ - "5461.038961038961" - ], - "split": "train" - }, - { - "Input": "in the first 10 overs of a cricket game , the run rate was only 2.1 . what should be the rate in the remaining 30 overs to reach the target of 282 runs ?", - "Output Program": [ - "n0 = 10.0\nn1 = 2.1\nn2 = 30.0\nn3 = 282.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "8.7" - ], - "split": "train" - }, - { - "Input": "by selling 15 pencils for a rupee a man loses 15 % . how many for a rupee should he sell in order to gain 15 % ?", - "Output Program": [ - "n0 = 15.0\nn1 = 15.0\nn2 = 15.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = 1.0 / t1\nt3 = t0 * t2\nt4 = 1.0 / t3\nanswer = n0 * t4\nprint(answer)" - ], - "Output Answer": [ - "11.086956521739129" - ], - "split": "train" - }, - { - "Input": "a is a working partner and b is a sleeping partner in the business . a puts in rs . 5000 and b rs . 1000 , a receives 10 % of the profit for managing the business the rest being divided in proportion of their capitals . out of a total profit of rs . 9600 , money received by a is ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 1000.0\nn2 = 10.0\nn3 = 9600.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = n1 / t0\nt3 = 1.0 - t1\nt4 = n3 * t3\nt5 = t2 * t4\nanswer = n3 - t5\nprint(answer)" - ], - "Output Answer": [ - "8160" - ], - "split": "train" - }, - { - "Input": "how much 90 % of 40 is greater than 80 % of 30 ?", - "Output Program": [ - "n0 = 90.0\nn1 = 40.0\nn2 = 80.0\nn3 = 30.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "train" - }, - { - "Input": "the compound interest earned by sunil on a certain amount at the end of two years at the rate of 8 % p . a . was rs . 2828.80 . find the total amount that sunil got back at the end of two years in the form of principal plus interest earned ?", - "Output Program": [ - "n0 = 8.0\nn1 = 2828.8\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nt3 = t2 - 1.0\nt4 = n1 / t3\nanswer = n1 + t4\nprint(answer)" - ], - "Output Answer": [ - "19828.79999999999" - ], - "split": "train" - }, - { - "Input": "a man took loan from a bank at the rate of 13 % p . a . s . i . after 3 years he had to pay rs . 5400 interest only for the period . the principal amount borrowed by him was ?", - "Output Program": [ - "n0 = 13.0\nn1 = 3.0\nn2 = 5400.0\nt0 = n2 * 100.0\nt1 = t0 / n1\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "13846.153846153846" - ], - "split": "train" - }, - { - "Input": "a sum amounts to rs . 4410 in 2 years at the rate of 5 % p . a . if interest was compounded yearly then what was the principal ?", - "Output Program": [ - "n0 = 4410.0\nn1 = 2.0\nn2 = 5.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "4000" - ], - "split": "train" - }, - { - "Input": "a cricket bat is sold for $ 850 , making a profit of $ 255 . the profit percentage would be", - "Output Program": [ - "n0 = 850.0\nn1 = 255.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "42.857142857142854" - ], - "split": "train" - }, - { - "Input": "from the beginning to the end of 2007 , the price of a stock rose 20 percent . in 2008 , it dropped 25 percent . in 2009 , it rose 40 percent . what percent of the stock \u00e2 \u20ac \u2122 s 2007 starting price was the price of the stock at the end of 2009 ?", - "Output Program": [ - "n0 = 2007.0\nn1 = 20.0\nn2 = 2008.0\nn3 = 25.0\nn4 = 2009.0\nn5 = 40.0\nn6 = 2007.0\nn7 = 2009.0\nt0 = n5 + 100.0\nt1 = n1 + 100.0\nt2 = 100.0 - n3\nt3 = t0 / 100.0\nt4 = t2 / 100.0\nt5 = t1 / 100.0\nt6 = t5 * 100.0\nt7 = t4 * t6\nanswer = t3 * t7\nprint(answer)" - ], - "Output Answer": [ - "125.99999999999999" - ], - "split": "train" - }, - { - "Input": "john makes $ 50 a week from his job . he earns a raise and now makes $ 70 a week . what is the % increase ?", - "Output Program": [ - "n0 = 50.0\nn1 = 70.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "what profit percent is made by selling an article at a certain price , if by selling at 2 / 3 rd of that price , there would be a loss of 12 % ?", - "Output Program": [ - "n0 = 2.0\nn1 = 3.0\nn2 = 12.0\nt0 = n0 / n1\nt1 = 100.0 - n2\nt2 = t1 / t0\nanswer = t2 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "32" - ], - "split": "train" - }, - { - "Input": "raman mixed 54 kg of butter at rs . 150 per kg with 36 kg butter at the rate of rs . 125 per kg . at what price per kg should he sell the mixture to make a profit of 40 % in the transaction ?", - "Output Program": [ - "n0 = 54.0\nn1 = 150.0\nn2 = 36.0\nn3 = 125.0\nn4 = 40.0\nt0 = n0 + n2\nt1 = n4 / 100.0\nt2 = n0 * n1\nt3 = n2 * n3\nt4 = t2 + t3\nt5 = t4 / t0\nt6 = t5 * t1\nanswer = t5 + t6\nprint(answer)" - ], - "Output Answer": [ - "196" - ], - "split": "train" - }, - { - "Input": "a person borrows rs . 5000 for 2 years at 4 % p . a . simple interest . he immediately lends it to another person at 5 % p . a for 2 years . find his gain in the transaction per year .", - "Output Program": [ - "n0 = 5000.0\nn1 = 2.0\nn2 = 4.0\nn3 = 5.0\nn4 = 2.0\nt0 = n0 * n3\nt1 = n0 * n2\nt2 = n1 * t0\nt3 = n1 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nt6 = t4 - t5\nanswer = t6 / n1\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a chemist mixes one liter of pure water with x liters of a 30 % salt solution , and the resulting mixture is a 15 % salt solution . what is the value of x ?", - "Output Program": [ - "n0 = 30.0\nn1 = 15.0\nt0 = n0 - n1\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "1" - ], - "split": "train" - }, - { - "Input": "in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the rate in the remaining 40 overs to reach the target of 282 runs ?", - "Output Program": [ - "n0 = 10.0\nn1 = 3.2\nn2 = 40.0\nn3 = 282.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "6.25" - ], - "split": "train" - }, - { - "Input": "by selling a book for 250 , 20 % profit was earned . what is the cost price of the book ?", - "Output Program": [ - "n0 = 250.0\nn1 = 20.0\n\nanswer = n0 * 100 / (100 + n1) # original_price_before gain\nprint(answer)" - ], - "Output Answer": [ - "208.33333333333334" - ], - "split": "train" - }, - { - "Input": "a scuba diver descends at a rate of 80 feet per minute . a diver dive from a ship to search for a lost ship at the depth of 4000 feet below the sea level . . how long will he take to reach the ship ?", - "Output Program": [ - "n0 = 80.0\nn1 = 4000.0\n\nanswer = n1 / n0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "car z travels 51 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour , but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour . how many miles does car z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour ?", - "Output Program": [ - "n0 = 51.0\nn1 = 45.0\nn2 = 20.0\nn3 = 60.0\nn4 = 10.0\nn5 = 60.0\nt0 = n2 / 100.0\nt1 = 1.0 - t0\nt2 = n0 * t1\nanswer = n4 * t2\nprint(answer)" - ], - "Output Answer": [ - "408.00000000000006" - ], - "split": "train" - }, - { - "Input": "what is 0.02 percent of 12,356 ?", - "Output Program": [ - "n0 = 0.02\nn1 = 12356.0\nt0 = 2.0 + 3.0\nt1 = 3.0 + 4.0\nt2 = 3.0 + 3.0\nt3 = 3.0 * 4.0\nt4 = t0 * 2.0\nt5 = t3 * 100.0\nt6 = t1 * t0\nt7 = t4 * t5\nt8 = t6 * t4\nt9 = t7 + t8\nt10 = t9 + t2\nt11 = n0 * t10\nanswer = t11 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "2.4712" - ], - "split": "train" - }, - { - "Input": "because he \u2019 s taxed by his home planet , mork pays a tax rate of 45 % on his income , while mindy pays a rate of only 25 % on hers . if mindy earned 4 times as much as mork did , what was their combined tax rate ?", - "Output Program": [ - "n0 = 45.0\nn1 = 25.0\nn2 = 4.0\nt0 = n2 + 1.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = n2 * t2\nt4 = t1 + t3\nt5 = t4 / t0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "28.999999999999996" - ], - "split": "train" - }, - { - "Input": "reema took a loan of rs 1100 with simple interest for as many years as the rate of interest . if she paid rs . 704 as interest at the end of the loan period , what was the rate of interest .", - "Output Program": [ - "import math\nn0 = 1100.0\nn1 = 704.0\nt0 = n0 / 100.0\nt1 = n1 / t0\nanswer = math.sqrt(max(0, t1))\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "in a company , 52 percent of the employees are men . if 60 percent of the employees are unionized and 70 percent of these are men , what percent of the non - union employees are women ?", - "Output Program": [ - "n0 = 52.0\nn1 = 60.0\nn2 = 70.0\nt0 = n2 / 100.0\nt1 = 100.0 - n0\nt2 = 100.0 - n1\nt3 = n1 * t0\nt4 = n1 - t3\nt5 = t1 - t4\nt6 = t5 / t2\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "train" - }, - { - "Input": "if 50 % of 3 / 5 of a number is 36 , then the number is ?", - "Output Program": [ - "n0 = 50.0\nn1 = 3.0\nn2 = 5.0\nn3 = 36.0\nt0 = n0 / 100.0\nt1 = n1 / n2\nt2 = t0 * t1\nanswer = n3 / t2\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "the manufacturing cost of a shoe is rs . 180 and the transportation lost is rs . 500 for 100 shoes . what will be the selling price if it is sold at 20 % gains", - "Output Program": [ - "n0 = 180.0\nn1 = 500.0\nn2 = 100.0\nn3 = 20.0\nt0 = n1 / n2\nt1 = n3 / 100.0\nt2 = n0 + t0\nt3 = t2 * t1\nanswer = t2 + t3\nprint(answer)" - ], - "Output Answer": [ - "222" - ], - "split": "train" - }, - { - "Input": "a shirt goes on sale for 80 % of its original price . one week later , the sale price is marked down 20 % . the final price is what percent of the original price ?", - "Output Program": [ - "n0 = 80.0\nn1 = 20.0\nt0 = n0 / 100.0\nt1 = n1 * t0\nanswer = n0 - t1\nprint(answer)" - ], - "Output Answer": [ - "64" - ], - "split": "train" - }, - { - "Input": "a man invested rs . 14,400 in rs . 100 shares of a company at 20 % premium . if the company declares 7 % dividend at the end of the year , then how much does he get ?", - "Output Program": [ - "n0 = 14400.0\nn1 = 100.0\nn2 = 20.0\nn3 = 7.0\nt0 = n3 / 100.0\nt1 = n2 / 100.0\nt2 = 10.0 * 1000.0\nt3 = 1000.0 * 4.0\nt4 = 100.0 * 4.0\nt5 = t2 + t3\nt6 = n1 * t1\nt7 = t5 + t4\nt8 = n1 + t6\nt9 = t7 / t8\nt10 = n1 * t9\nanswer = t0 * t10\nprint(answer)" - ], - "Output Answer": [ - "840.0000000000001" - ], - "split": "train" - }, - { - "Input": "a hostel had provisions for 250 men for 28 days . if 50 men left the hostel , how long will the food last at the same rate ?", - "Output Program": [ - "n0 = 250.0\nn1 = 28.0\nn2 = 50.0\nt0 = n0 * n1\nt1 = n0 - n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "35" - ], - "split": "train" - }, - { - "Input": "julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest . after two years she earned $ 100 and $ 105 from the simple interest account and the compound interest account respectively . if the interest rates for both accounts were the same , what was the amount of julie ' s initial savings ?", - "Output Program": [ - "n0 = 100.0\nn1 = 105.0\nt0 = n1 - n0\nt1 = t0 * 2.0\nt2 = t1 / n0\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "train" - }, - { - "Input": "100 is increased by 50 % . find the final number .", - "Output Program": [ - "n0 = 100.0\nn1 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 20 percent , but profits were 15 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?", - "Output Program": [ - "n0 = 2008.0\nn1 = 10.0\nn2 = 2009.0\nn3 = 20.0\nn4 = 15.0\nn5 = 2009.0\nn6 = 2008.0\nt0 = n3 / 100.0\nt1 = 1.0 - t0\nt2 = n4 * t1\nt3 = t2 / n1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "a person bought 110 glass bowls at a rate of rs . 10 per bowl . he sold 100 of them at rs . 14 and the remaining broke . what is the percentage gain for a ?", - "Output Program": [ - "n0 = 110.0\nn1 = 10.0\nn2 = 100.0\nn3 = 14.0\nt0 = n2 * n3\nt1 = n0 * n1\nt2 = t0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "27.27272727272727" - ], - "split": "train" - }, - { - "Input": "a sum of money amounts to rs . 9800 after 5 years and rs . 12005 after 8 years at the same rate of simple interest . the rate of interest per annum is :", - "Output Program": [ - "n0 = 9800.0\nn1 = 5.0\nn2 = 12005.0\nn3 = 8.0\nt0 = n0 * n3\nt1 = n1 * n2\nt2 = n2 - n0\nt3 = t0 - t1\nt4 = t2 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "train" - }, - { - "Input": "a merchant purchased a jacket for $ 54 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 40 percent of the selling price . during a sale , the merchant discounted the selling price by 20 percent and sold the jacket . what was the merchant \u2019 s gross profit on this sale ?", - "Output Program": [ - "n0 = 54.0\nn1 = 40.0\nn2 = 20.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = n0 / t2\nt5 = t4 * t3\nanswer = t5 - n0\nprint(answer)" - ], - "Output Answer": [ - "18" - ], - "split": "train" - }, - { - "Input": "a distributor sells a product through an online store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 19 per item . what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item ?", - "Output Program": [ - "n0 = 20.0\nn1 = 19.0\nn2 = 20.0\nt0 = n0 / 100.0\nt1 = 100.0 - n0\nt2 = t1 / 100.0\nt3 = n1 * t0\nt4 = n1 + t3\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "28.5" - ], - "split": "train" - }, - { - "Input": "weights of two friends ram and shyam are in the ratio 7 : 5 . if ram ' s weight is increased by 10 % and total weight of ram and shyam become 82.8 kg , with an increases of 15 % . by what percent did the weight of shyam has to be increased ?", - "Output Program": [ - "n0 = 7.0\nn1 = 5.0\nn2 = 10.0\nn3 = 82.8\nn4 = 15.0\nt0 = n0 / n1\nt1 = n4 - n2\nt2 = t0 * t1\nanswer = n4 + t2\nprint(answer)" - ], - "Output Answer": [ - "22" - ], - "split": "train" - }, - { - "Input": "a man sells an article at a profit of 25 % . if he had bought it at 20 % less and sold it for rs . 10.50 less , he would have gained 30 % . find the cost of the article .", - "Output Program": [ - "n0 = 25.0\nn1 = 20.0\nn2 = 10.5\nn3 = 30.0\nt0 = n0 + 100.0\nt1 = n3 + 100.0\nt2 = n2 * 100.0\nt3 = 100.0 - n1\nt4 = t1 * t3\nt5 = t4 / 100.0\nt6 = t0 - t5\nanswer = t2 / t6\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "if a lends rs . 1500 to b at 10 % per annum and b lends the same sum to c at 11.5 % per annum then the gain of b in a period of 3 years is ?", - "Output Program": [ - "n0 = 1500.0\nn1 = 10.0\nn2 = 11.5\nn3 = 3.0\nt0 = n0 * n2\nt1 = n0 * n1\nt2 = t0 * n3\nt3 = n3 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nanswer = t4 - t5\nprint(answer)" - ], - "Output Answer": [ - "67.5" - ], - "split": "train" - }, - { - "Input": "at what rate percent of simple interest will a sum of money double itself in 33 years ?", - "Output Program": [ - "n0 = 33.0\n\nanswer = 100.0 / n0\nprint(answer)" - ], - "Output Answer": [ - "3.0303030303030303" - ], - "split": "train" - }, - { - "Input": "a sum fetched total simple interest of 4016.25 at the rate of 11 p . c . p . a . in 5 years . what is the sum ?", - "Output Program": [ - "n0 = 4016.25\nn1 = 11.0\nn2 = 5.0\nt0 = n0 * 100.0\nt1 = n1 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "7302.272727272727" - ], - "split": "train" - }, - { - "Input": "what is the cp of rs 100 stock at 8 discount , with 1 / 5 % brokerage ?", - "Output Program": [ - "n0 = 100.0\nn1 = 8.0\nn2 = 1.0\nn3 = 5.0\nt0 = n2 / n3\nt1 = n0 - n1\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "92.2" - ], - "split": "train" - }, - { - "Input": "a person distributed 20 % of his income to his 3 children each . he deposited 30 % of his income to his wife ' s account . he donated 5 % of remaining amount to an orphan house . finally he has $ 40000 . find his total income ?", - "Output Program": [ - "n0 = 20.0\nn1 = 3.0\nn2 = 30.0\nn3 = 5.0\nn4 = 40000.0\nt0 = n0 * n1\nt1 = n2 + t0\nt2 = n3 + t1\nt3 = 100.0 - t2\nt4 = n4 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "800000" - ], - "split": "train" - }, - { - "Input": "after decreasing 24 % in the price of an article costs rs . 988 . find the actual cost of an article ?", - "Output Program": [ - "n0 = 24.0\nn1 = 988.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "1300" - ], - "split": "train" - }, - { - "Input": "of the votes cast on a certain proposal , 58 more were in favor of the proposal than were against it . if the number of votes against the proposal was 40 percent of the total vote , what was the total number of votes cast ? ( each vote cast was either in favor of the proposal or against it . )", - "Output Program": [ - "n0 = 58.0\nn1 = 40.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "290.00000000000006" - ], - "split": "train" - }, - { - "Input": "the s . i . on a certain sum of money for 3 years at 10 % per annum is half the c . i . on rs . 4000 for 2 years at 10 % per annum . the sum placed on s . i . is ?", - "Output Program": [ - "n0 = 3.0\nn1 = 10.0\nn2 = 4000.0\nn3 = 2.0\nn4 = 10.0\nt0 = n4 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = n0 * t1\nt4 = t2**min(n3, 5)\nt5 = n2 * t4\nt6 = t5 - n2\nt7 = t6 / n3\nanswer = t7 / t3\nprint(answer)" - ], - "Output Answer": [ - "1400.0000000000014" - ], - "split": "train" - }, - { - "Input": "a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 15 % while buying and by 20 % while selling . what is his percentage profit ?", - "Output Program": [ - "n0 = 15.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = 100.0 - n1\nt2 = t0 - t1\nt3 = t2 * 100.0\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "43.75" - ], - "split": "train" - }, - { - "Input": "3 candidates in an election and received 3000 , 5000 and 15000 votes respectively . what % of the total votes did the winningcandidate got in that election ?", - "Output Program": [ - "n0 = 3.0\nn1 = 3000.0\nn2 = 5000.0\nn3 = 15000.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = n3 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "65.21739130434783" - ], - "split": "train" - }, - { - "Input": "in the fifth grade at parkway elementary school there are 420 students . 296 students are boys and 250 students are playing soccer . 86 % of the students that play soccer are boys . how many girl student are in parkway that is not playing soccer ?", - "Output Program": [ - "n0 = 420.0\nn1 = 296.0\nn2 = 250.0\nn3 = 86.0\nt0 = n2 * n3\nt1 = n0 - n1\nt2 = t0 / 100.0\nt3 = n2 - t2\nanswer = t1 - t3\nprint(answer)" - ], - "Output Answer": [ - "89" - ], - "split": "train" - }, - { - "Input": "a sum was put at simple interest at certain rate for 3 years . had it been put at 1 % higher rate it would have fetched rs . 69 more . the sum is : a . rs . 2,400 b . rs . 2,100 c . rs . 2,200 d . rs . 2,480", - "Output Program": [ - "n0 = 3.0\nn1 = 1.0\nn2 = 69.0\nn3 = 2400.0\nn4 = 2100.0\nn5 = 2200.0\nn6 = 2480.0\nt0 = n2 / n0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2300" - ], - "split": "train" - }, - { - "Input": "yesterday ' s closing prices of 1,980 different stocks listed on a certain stock exchange were all different from today ' s closing prices . the number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price . how many of the stocks closed at a higher price today than yesterday ?", - "Output Program": [ - "n0 = 1980.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = n1 * 100.0\nt2 = t0 + 1.0\nt3 = t1 - 10.0\nt4 = t2 + 1.0\nt5 = t3 - 10.0\nt6 = t5 / t4\nanswer = t2 * t6\nprint(answer)" - ], - "Output Answer": [ - "1079.9999999999998" - ], - "split": "train" - }, - { - "Input": "a lent rs . 5000 to b for 2 years and rs . 3000 to c for 4 years on simple interest at the same rate of interest and received rs . 3300 in all from both of them as interest . the rate of interest per annum is ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 2.0\nn2 = 3000.0\nn3 = 4.0\nn4 = 3300.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 + t1\nt3 = n4 / t2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?", - "Output Program": [ - "n0 = 10.0\nn1 = 3.2\nn2 = 40.0\nn3 = 282.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "6.25" - ], - "split": "train" - }, - { - "Input": "bhanu spends 30 % of his income on petrol on scooter 14 % of the remaining on house rent and the balance on food . if he spends rs . 300 on petrol then what is the expenditure on house rent ?", - "Output Program": [ - "n0 = 30.0\nn1 = 14.0\nn2 = 300.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = n2 / t1\nt3 = t2 - n2\nanswer = t0 * t3\nprint(answer)" - ], - "Output Answer": [ - "98.00000000000001" - ], - "split": "train" - }, - { - "Input": "the banker ' s gain on a bill due due 1 year hence at 12 % per annum is rs . 7.2 . the true discount is", - "Output Program": [ - "n0 = 1.0\nn1 = 12.0\nn2 = 7.2\nt0 = n1 / 100.0\nanswer = n2 / t0\nprint(answer)" - ], - "Output Answer": [ - "60.00000000000001" - ], - "split": "train" - }, - { - "Input": "john purchased a grinder and a mobile for rs . 15000 & rs . 8000 respectively . he sold the grinder at a loss of 2 % and the mobile phone at a profit of 10 % . overall how much he make a profit .", - "Output Program": [ - "n0 = 15000.0\nn1 = 8000.0\nn2 = 2.0\nn3 = 10.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = n3 * t0\nt3 = n2 * t1\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "train" - }, - { - "Input": "john purchased a grinder and a mobile for rs . 15000 & rs . 8000 respectively . he sold the grinder at a loss of 4 % and the mobile phone at a profit of 10 % . overall how much he make aprofit .", - "Output Program": [ - "n0 = 15000.0\nn1 = 8000.0\nn2 = 4.0\nn3 = 10.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = n3 * t0\nt3 = n2 * t1\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "how much interest can a person get on rs . 7200 at 17.5 % p . a . simple interest for a period of two years and 6 months ?", - "Output Program": [ - "n0 = 7200.0\nn1 = 17.5\nn2 = 6.0\nt0 = n2 / 12.0\nt1 = t0 + 2.0\nt2 = n1 * t1\nt3 = t2 / 100.0\nanswer = n0 * t3\nprint(answer)" - ], - "Output Answer": [ - "3150" - ], - "split": "train" - }, - { - "Input": "donovan took a math test and got 35 correct and 13 incorrect answers . what was the percentage of correct answers ? ( round to the nearest hundredth )", - "Output Program": [ - "n0 = 35.0\nn1 = 13.0\nt0 = n0 + n1\nt1 = n0 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "72.91666666666666" - ], - "split": "train" - }, - { - "Input": "the percentage profit earned by selling an article for rs . 1820 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 25 % profit ?", - "Output Program": [ - "n0 = 1820.0\nn1 = 1280.0\nn2 = 25.0\nt0 = n2 + 100.0\nt1 = n0 + n1\nt2 = t0 / 100.0\nt3 = t1 / 2.0\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "1937.5" - ], - "split": "train" - }, - { - "Input": "sandy had $ 140 left after spending 30 % of the money she took for shopping . how much money did sandy take along with her ?", - "Output Program": [ - "n0 = 140.0\nn1 = 30.0\nt0 = 100.0 - n1\nt1 = t0 / 100.0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "the malibu country club needs to drain its pool for refinishing . the hose they use to drain it can remove 60 cubic feet of water per minute . if the pool is 80 feet wide by 150 feet long by 10 feet deep and is currently at 100 % capacity , how long will it take to drain the pool ?", - "Output Program": [ - "n0 = 60.0\nn1 = 80.0\nn2 = 150.0\nn3 = 10.0\nn4 = 100.0\nt0 = n4 / 100.0\nt1 = n1 * n2\nt2 = n3 * t1\nt3 = t0 * t2\nanswer = t3 / n0\nprint(answer)" - ], - "Output Answer": [ - "2000" - ], - "split": "train" - }, - { - "Input": "a scuba diver descends at a rate of 60 feet per minute . a diver dive from a ship to search for a lost ship at the depth of 3600 feet below the sea level . . how long will he take to reach the ship ?", - "Output Program": [ - "n0 = 60.0\nn1 = 3600.0\n\nanswer = n1 / n0\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "if a man lost 10 % by selling oranges at the rate of 18 a rupee at how many a rupee must he sell them to gain 32 % ?", - "Output Program": [ - "n0 = 10.0\nn1 = 18.0\nn2 = 32.0\nt0 = n2 + 100.0\nt1 = 100.0 - n0\nt2 = n1 * t1\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "12.272727272727273" - ], - "split": "train" - }, - { - "Input": "last month , john rejected 0.5 % of the products that he inspected and jane rejected 0.7 percent of the products that she inspected . if total of 0.75 percent of the products produced last month were rejected , what fraction of the products did jane inspect ?", - "Output Program": [ - "n0 = 0.5\nn1 = 0.7\nn2 = 0.75\nt0 = n2 - n0\nt1 = n1 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "1.2500000000000002" - ], - "split": "train" - }, - { - "Input": "michelle deposited a certain sum of money in a savings account on july 1 st , 2007 . she earns an 12 % interest compounded semiannually . the sum of money in the account on december 31 st , 2009 is approximately what percent of the initial deposit ?", - "Output Program": [ - "n0 = 1.0\nn1 = 2007.0\nn2 = 12.0\nn3 = 31.0\nn4 = 2009.0\nt0 = 2.0 + 3.0\nt1 = n2 / 100.0\nt2 = t1 / 2.0\nt3 = t2 + n0\nt4 = t3**min(t0, 5)\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "133.82255776000002" - ], - "split": "train" - }, - { - "Input": "what is the compound interest paid on a sum of rs . 1500 for the period of 2 years at 10 % per annum .", - "Output Program": [ - "n0 = 1500.0\nn1 = 2.0\nn2 = 10.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nt3 = n0 * t2\nanswer = t3 - n0\nprint(answer)" - ], - "Output Answer": [ - "315.0000000000002" - ], - "split": "train" - }, - { - "Input": "a man is walking at the rate of 9 km / hr crosses a bridge in 15 minutes . the length of the bridge is", - "Output Program": [ - "n0 = 9.0\nn1 = 15.0\nt0 = n1 / 60.0\nt1 = n0 * t0\nanswer = t1 * 1000.0\nprint(answer)" - ], - "Output Answer": [ - "2250" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article offering a discount of 5 % and earned a profit of 23.5 % . what would have been the percentage of profit earned if no discount was offered ?", - "Output Program": [ - "n0 = 5.0\nn1 = 23.5\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * 100.0\nt3 = t2 / t1\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "acme \u2019 s manufacturing costs for sets of horseshoes include a $ 12450 initial outlay , and $ 20.75 per set . they can sell the sets $ 50 . if profit is revenue from sales minus manufacturing costs , and the company producessells 950 sets of horseshoes , what was their profit ?", - "Output Program": [ - "n0 = 12450.0\nn1 = 20.75\nn2 = 50.0\nn3 = 950.0\nt0 = n2 - n1\nt1 = n3 * t0\nanswer = t1 - n0\nprint(answer)" - ], - "Output Answer": [ - "15337.5" - ], - "split": "train" - }, - { - "Input": "the present worth of rs . 169 due in 2 years at 4 % per annum compound interest is", - "Output Program": [ - "n0 = 169.0\nn1 = 2.0\nn2 = 4.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "156.24999999999997" - ], - "split": "train" - }, - { - "Input": "a shopkeeper bought 600 oranges and 400 bananas . he found 15 % of oranges and 8 % of bananas were rotten . find the percentage of fruits in good condition .", - "Output Program": [ - "n0 = 600.0\nn1 = 400.0\nn2 = 15.0\nn3 = 8.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = n0 * t1\nt4 = n1 * t2\nt5 = t3 + t4\nt6 = t0 - t5\nt7 = t6 / t0\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "87.8" - ], - "split": "train" - }, - { - "Input": "reema took a loan of rs 1800 with simple interest for as many years as the rate of interest . if she paid rs . 632 as interest at the end of the loan period , what was the rate of interest .", - "Output Program": [ - "import math\nn0 = 1800.0\nn1 = 632.0\nt0 = n0 / 100.0\nt1 = n1 / t0\nanswer = math.sqrt(max(0, t1))\nprint(answer)" - ], - "Output Answer": [ - "5.92546294487706" - ], - "split": "train" - }, - { - "Input": "if 15 % of 30 % of 50 % of a number is 99 , then what is the number ?", - "Output Program": [ - "n0 = 15.0\nn1 = 30.0\nn2 = 50.0\nn3 = 99.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 / 100.0\nt3 = t1 * t2\nt4 = t0 * t3\nanswer = n3 / t4\nprint(answer)" - ], - "Output Answer": [ - "4400" - ], - "split": "train" - }, - { - "Input": "from january 1 , 1991 , to january 1 , 1993 , the number of people enrolled in health maintenance organizations increased by 25 percent . the enrollment on january 1 , 1993 , was 45 million . how many million people , to the nearest million , were enrolled in health maintenance organizations on january 1 , 1991 ?", - "Output Program": [ - "n0 = 1.0\nn1 = 1991.0\nn2 = 1.0\nn3 = 1993.0\nn4 = 25.0\nn5 = 1.0\nn6 = 1993.0\nn7 = 45.0\nn8 = 1.0\nn9 = 1991.0\nt0 = n4 + 100.0\nt1 = 100.0 / t0\nanswer = n7 * t1\nprint(answer)" - ], - "Output Answer": [ - "36" - ], - "split": "train" - }, - { - "Input": "p runs 20 % faster than q so p gives q a 50 meter head start . if the race ends in a tie , how far ( in meters ) did p run in the race ?", - "Output Program": [ - "n0 = 20.0\nn1 = 50.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nanswer = n1 + t1\nprint(answer)" - ], - "Output Answer": [ - "300" - ], - "split": "train" - }, - { - "Input": "what is the rate percent when the simple interest on rs . 910 amount to rs . 260 in 4 years ?", - "Output Program": [ - "n0 = 910.0\nn1 = 260.0\nn2 = 4.0\nt0 = n1 * 100.0\nt1 = n0 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "7.142857142857143" - ], - "split": "train" - }, - { - "Input": "a shop owner sells 15 mtr of cloth and gains sp of 10 mtrs . find the gain % ?", - "Output Program": [ - "n0 = 15.0\nn1 = 10.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "there were two candidates in an election . winner candidate received 62 % of votes and won the election by 348 votes . find the number of votes casted to the winning candidate ?", - "Output Program": [ - "n0 = 62.0\nn1 = 348.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nt3 = n1 / t2\nt4 = n0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "899" - ], - "split": "train" - }, - { - "Input": "what is the rate percent when the simple interest on rs . 4000 amount to rs . 640 in 2 years ?", - "Output Program": [ - "n0 = 4000.0\nn1 = 640.0\nn2 = 2.0\nt0 = n1 * 100.0\nt1 = n0 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "don and his wife each receive an 8 percent annual raise . if don receives a raise rs . 800 and his wife receives a raise of rs . 840 , what is the difference between their annual income after their raises ?", - "Output Program": [ - "n0 = 8.0\nn1 = 800.0\nn2 = 840.0\nt0 = n0 / 100.0\nt1 = n2 / t0\nt2 = n1 / t0\nt3 = n2 + t1\nt4 = n1 + t2\nanswer = t3 - t4\nprint(answer)" - ], - "Output Answer": [ - "540" - ], - "split": "train" - }, - { - "Input": "if the simple interest on a sum of money for 2 years at 5 % per annum is rs . 50 , what will be the compound interest on same values", - "Output Program": [ - "n0 = 2.0\nn1 = 5.0\nn2 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n2 / t1\nt3 = n1 * t2\nt4 = t3 / 100.0\nt5 = t4 + t2\nt6 = n1 * t5\nt7 = t6 / 100.0\nt8 = t5 + t7\nanswer = t8 - t2\nprint(answer)" - ], - "Output Answer": [ - "51.25" - ], - "split": "train" - }, - { - "Input": "ramu bought an old car for rs . 42000 . he spent rs . 13000 on repairs and sold it for rs . 66900 . what is his profit percent ?", - "Output Program": [ - "n0 = 42000.0\nn1 = 13000.0\nn2 = 66900.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "21.636363636363637" - ], - "split": "train" - }, - { - "Input": "a merchant marks goods up by 75 % and then offers a discount on the marked price . the profit that the merchant makes after offering the discount is 57.5 % . what % discount did the merchant offer ?", - "Output Program": [ - "n0 = 75.0\nn1 = 57.5\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t2 - 1.0\nt4 = t3 - t1\nt5 = t4 / t2\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10.000000000000002" - ], - "split": "train" - }, - { - "Input": "at what rate percent on simple interest will rs . 750 amount to rs . 1125 in 5 years ?", - "Output Program": [ - "n0 = 750.0\nn1 = 1125.0\nn2 = 5.0\nt0 = n1 - n0\nt1 = t0 / n0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "shopkeeper rise price by 35 % and gives successive discount of 10 % and 15 % . what is overall % gain or loss ?", - "Output Program": [ - "n0 = 35.0\nn1 = 10.0\nn2 = 15.0\nt0 = n0 + 100.0\nt1 = 100.0 - n2\nt2 = 100.0 - n1\nt3 = t1 / 100.0\nt4 = t2 / 100.0\nt5 = t0 * t4\nt6 = t3 * t5\nanswer = t6 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "3.2749999999999915" - ], - "split": "train" - }, - { - "Input": "one - third of 1206 is what percent of 200 ?", - "Output Program": [ - "n0 = 1206.0\nn1 = 200.0\nt0 = n0 / 3.0\nt1 = t0 / n1\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "200.99999999999997" - ], - "split": "train" - }, - { - "Input": "machine p and machine q are each used to manufacture 660 sprockets . it takes machine p 10 hours longer to produce 660 sprockets than machine q . machine q produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machine a produce ?", - "Output Program": [ - "n0 = 660.0\nn1 = 10.0\nn2 = 660.0\nn3 = 10.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n0 / t1\nt3 = n0 - t2\nanswer = t3 / n1\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "tom purchased 8 kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 8.0\nn1 = 70.0\nn2 = 9.0\nn3 = 55.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1055" - ], - "split": "train" - }, - { - "Input": "if a speaks the truth 75 % of the times , b speaks the truth 60 % of the times . what is the probability that they tell the truth at the same time", - "Output Program": [ - "n0 = 75.0\nn1 = 60.0\nt0 = 4.0 * 5.0\nt1 = t0 * 5.0\nt2 = n0 / t1\nt3 = n1 / t1\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "0.44999999999999996" - ], - "split": "train" - }, - { - "Input": "the charge for a single room at hotel p is 40 percent less than the charge for a single room at hotel r and 10 percent less than the charge for a single room at hotel g . the charge for a single room at hotel r is what percent greater than the charge for a single room at hotel g ?", - "Output Program": [ - "n0 = 40.0\nn1 = 10.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = t0 / t1\nt3 = t2 * 100.0\nt4 = 100.0 - t3\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50.00000000000002" - ], - "split": "train" - }, - { - "Input": "there were two candidates in an election . winner candidate received 75 % of votes and won the election by 500 votes . find the number of votes casted to the winning candidate ?", - "Output Program": [ - "n0 = 75.0\nn1 = 500.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nt3 = n1 / t2\nt4 = n0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "750" - ], - "split": "train" - }, - { - "Input": "in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 20 percent , but profits were 9 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?", - "Output Program": [ - "n0 = 2008.0\nn1 = 10.0\nn2 = 2009.0\nn3 = 20.0\nn4 = 9.0\nn5 = 2009.0\nn6 = 2008.0\nt0 = n3 / 100.0\nt1 = 1.0 - t0\nt2 = n4 * t1\nt3 = t2 / n1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "72" - ], - "split": "train" - }, - { - "Input": "how much 60 % of 50 is greater than 50 % of 30 ?", - "Output Program": [ - "n0 = 60.0\nn1 = 50.0\nn2 = 50.0\nn3 = 30.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "a pair of articles was bought for $ 50 at a discount of 10 % . what must be the marked price of each of the article ?", - "Output Program": [ - "n0 = 50.0\nn1 = 10.0\nt0 = n0 / 2.0\nt1 = 100.0 - n1\nt2 = t0 * t1\nanswer = t2 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "22.5" - ], - "split": "train" - }, - { - "Input": "if a lends rs . 3500 to b at 10 % p . a . and b lends the same sum to c at 11.5 % p . a . , then the gain of b ( in rs . ) in a period of 3 years is", - "Output Program": [ - "n0 = 3500.0\nn1 = 10.0\nn2 = 11.5\nn3 = 3.0\nt0 = n0 * n2\nt1 = n0 * n1\nt2 = n3 * t0\nt3 = n3 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nanswer = t4 - t5\nprint(answer)" - ], - "Output Answer": [ - "157.5" - ], - "split": "train" - }, - { - "Input": "the c . p of 30 books is equal to the s . p of 40 books . find his gain % or loss % ?", - "Output Program": [ - "n0 = 30.0\nn1 = 40.0\nt0 = n0 / n1\nt1 = 1.0 - t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "a man can row his boat with the stream at 19 km / h and against the stream in 11 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 19.0\nn1 = 11.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "in an election only two candidates contested . a candidate secured 70 % of the valid votes and won by a majority of 174 votes . find the total number of valid votes ?", - "Output Program": [ - "n0 = 70.0\nn1 = 174.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "435" - ], - "split": "train" - }, - { - "Input": "last year a certain bond price with a face value of 5000 yielded 6 % of its face value in interest . if that interest was approx 6.5 of the bond ' s selling price approx what was the bond ' s selling price ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 6.0\nn2 = 6.5\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n0 * t0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "4615.384615384615" - ], - "split": "train" - }, - { - "Input": "there is 60 lit of milk and water in which milk forms 84 % . howmuch water must be added to this solution to make it solution in which milk forms 58 %", - "Output Program": [ - "n0 = 60.0\nn1 = 84.0\nn2 = 58.0\nt0 = 100.0 / n2\nt1 = n0 * n1\nt2 = t1 / 100.0\nt3 = t0 * t2\nanswer = t3 - n0\nprint(answer)" - ], - "Output Answer": [ - "26.89655172413792" - ], - "split": "train" - }, - { - "Input": "the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 14 . if p invested the money for 5 months , find for how much time did q invest the money ?", - "Output Program": [ - "n0 = 7.0\nn1 = 5.0\nn2 = 7.0\nn3 = 14.0\nn4 = 5.0\nt0 = n0 / n1\nt1 = n3 / n2\nt2 = t0 * t1\nanswer = n4 * t2\nprint(answer)" - ], - "Output Answer": [ - "14" - ], - "split": "train" - }, - { - "Input": "a company pays 12.5 % dividend to its investors . if an investor buys rs . 50 shares and gets 25 % on investment , at what price did the investor buy the shares ?", - "Output Program": [ - "n0 = 12.5\nn1 = 50.0\nn2 = 25.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = t1 * 100.0\nanswer = t2 / n2\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "on a certain day , tim invested $ 500 at 10 percent annual interest , compounded annually , and lana invested 900 at 5 percent annual interest , compounded annually . the total amount of interest earned by tim \u2019 s investment in the first 2 years was how much greater than the total amount of interest earned by lana \u2019 s investment in the first 2 years ?", - "Output Program": [ - "n0 = 500.0\nn1 = 10.0\nn2 = 900.0\nn3 = 5.0\nn4 = 2.0\nn5 = 2.0\nt0 = n1 / 100.0\nt1 = n3 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2**min(n4, 5)\nt5 = t3**min(n4, 5)\nt6 = n0 * t4\nt7 = n2 * t5\nt8 = t6 - n0\nt9 = t7 - n2\nanswer = t8 - t9\nprint(answer)" - ], - "Output Answer": [ - "12.750000000000114" - ], - "split": "train" - }, - { - "Input": "a shoe merchant has declared a 10 % rebate in prices . how much rebate would one get if he purchases 5 pairs of shoes at rs . 28 each ?", - "Output Program": [ - "n0 = 10.0\nn1 = 5.0\nn2 = 28.0\nt0 = n0 / 100.0\nt1 = n1 * n2\nanswer = t0 * t1\nprint(answer)" - ], - "Output Answer": [ - "14" - ], - "split": "train" - }, - { - "Input": "in a restaurant , the profit is 120 % of the cost . if the cost increases by 12 % but the selling price remains constant , approximately what percentage of the selling price is the profit ?", - "Output Program": [ - "n0 = 120.0\nn1 = 12.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t1 + 1.0\nt3 = t0 * 100.0\nt4 = t3 + 100.0\nt5 = t2 * 100.0\nt6 = t4 - t5\nt7 = t6 / t4\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "49.090909090909086" - ], - "split": "train" - }, - { - "Input": "a shop owner sells 30 mtr of cloth and gains sp of 10 mtrs . find the gain % ?", - "Output Program": [ - "n0 = 30.0\nn1 = 10.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a certain dark blue paint contains 40 percent blue pigment and 60 percent red pigment by weight . a certain green paint contains 40 percent blue pigment and 60 percent yellow pigment . when these paints are mixed to produce a brown paint , the brown paint contains 40 percent blue pigment . if the brown paint weighs 10 grams , then the red pigment contributes how many grams of that weight ?", - "Output Program": [ - "n0 = 40.0\nn1 = 60.0\nn2 = 40.0\nn3 = 60.0\nn4 = 40.0\nn5 = 10.0\nt0 = n1 / n0\nt1 = n0 * 10.0\nt2 = t1 / 100.0\nt3 = t2 / 2.0\nanswer = t3 * t0\nprint(answer)" - ], - "Output Answer": [ - "3" - ], - "split": "train" - }, - { - "Input": "the simple interest on rs . 34 for 8 months at the rate of 6 paise per rupeeper month is", - "Output Program": [ - "n0 = 34.0\nn1 = 8.0\nn2 = 6.0\nt0 = n0 * n1\nt1 = n2 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "16.32" - ], - "split": "train" - }, - { - "Input": "a student needs 30 % of the marks on a test to pass the test . if the student gets 80 marks and fails the test by 10 marks , find the maximum marks set for the test .", - "Output Program": [ - "n0 = 30.0\nn1 = 80.0\nn2 = 10.0\nt0 = n1 + n2\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "300" - ], - "split": "train" - }, - { - "Input": "if the selling price of 100 articles is equal to the cost price of 40 articles , then the loss or gain percent is :", - "Output Program": [ - "n0 = 100.0\nn1 = 40.0\n\nanswer = n0 - n1\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "how many ounces of a 60 % salt solution must be added to 70 ounces of a 20 percent salt solution so that the resulting mixture is 40 % salt ?", - "Output Program": [ - "n0 = 60.0\nn1 = 70.0\nn2 = 20.0\nn3 = 40.0\nt0 = n3 / 100.0\nt1 = n2 / 100.0\nt2 = n1 * t0\nt3 = n1 * t1\nt4 = t0 - t1\nt5 = t2 - t3\nanswer = t5 / t4\nprint(answer)" - ], - "Output Answer": [ - "70" - ], - "split": "train" - }, - { - "Input": "find the simple interest on the rs . 2000 at 25 / 4 % per annum for the period from 4 th feb 2005 to 18 th april 2005", - "Output Program": [ - "n0 = 2000.0\nn1 = 25.0\nn2 = 4.0\nn3 = 4.0\nn4 = 2005.0\nn5 = 18.0\nn6 = 2005.0\nt0 = 3.0 + 4.0\nt1 = 1.0 + 4.0\nt2 = 60.0 * 60.0\nt3 = t1 * 2.0\nt4 = t2 / t3\nt5 = t0 * t3\nt6 = t5 + 3.0\nt7 = t1 + t4\nt8 = t6 / t7\nt9 = n0 * t8\nt10 = n1 * t9\nt11 = t10 / 4.0\nanswer = t11 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "you enter a weight loss challenge game and manage to lose 10 % of your body weight . for the final weigh in you are forced to wear clothes that add 2 % to your weight . what percentage of weight loss is measured at the final weigh in ?", - "Output Program": [ - "n0 = 10.0\nn1 = 2.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = 1.0 - t4\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "8.199999999999996" - ], - "split": "train" - }, - { - "Input": "a money lender lent rs . 1000 at 3 % per year and rs . 1400 at 5 % per year . the amount should be returned to him when the total interest comes to rs . 350 . find the number of years .", - "Output Program": [ - "n0 = 1000.0\nn1 = 3.0\nn2 = 1400.0\nn3 = 5.0\nn4 = 350.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 + t3\nanswer = n4 / t4\nprint(answer)" - ], - "Output Answer": [ - "3.5" - ], - "split": "train" - }, - { - "Input": "how much 60 % of 50 is greater than 40 % of 30 ?", - "Output Program": [ - "n0 = 60.0\nn1 = 50.0\nn2 = 40.0\nn3 = 30.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "18" - ], - "split": "train" - }, - { - "Input": "by selling 90 pens , a trader gains the cost of 30 pens . find his gain percentage ?", - "Output Program": [ - "n0 = 90.0\nn1 = 30.0\nt0 = n1 / n0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "train" - }, - { - "Input": "effective annual rate of interest corresponding to nominal rate of 6 % per annum compounded half yearly will be", - "Output Program": [ - "n0 = 6.0\nt0 = n0 / 2.0\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nt3 = t2**min(2.0, 5)\nt4 = t3 * 100.0\nanswer = t4 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "6.089999999999989" - ], - "split": "train" - }, - { - "Input": "on a certain road , 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but 60 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on that road exceed the posted speed limit ?", - "Output Program": [ - "n0 = 10.0\nn1 = 60.0\nt0 = 100.0 - n1\nt1 = n0 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": ". in a certain city , 60 percent of the registered voters are democrats and the rest are republicans . in a mayoral race , if 70 percent of the registered voters who are democrats and 20 percent of the registered voters who are republicans are expected to vote for candidate a , what percent of the registered voters are expected to vote for candidate a ?", - "Output Program": [ - "n0 = 60.0\nn1 = 70.0\nn2 = 20.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = 100.0 - n0\nt3 = n0 * t0\nt4 = t1 * t2\nanswer = t3 + t4\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "sahil purchased a machine at rs 10000 , then got it repaired at rs 5000 , then gave its transportation charges rs 1000 . then he sold it with 50 % of profit . at what price he actually sold it .", - "Output Program": [ - "n0 = 10000.0\nn1 = 5000.0\nn2 = 1000.0\nn3 = 50.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = t1 / 100.0\nt3 = n3 * t2\nanswer = t1 + t3\nprint(answer)" - ], - "Output Answer": [ - "24000" - ], - "split": "train" - }, - { - "Input": "a man can row his boat with the stream at 22 km / h and against the stream in 10 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 22.0\nn1 = 10.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "a fellow borrowed a certain sum of money at 5 % per annum at simple interest and in 5 years the interest amounted to rs . 2250 less than the sum lent . what was the sum lent ?", - "Output Program": [ - "n0 = 5.0\nn1 = 5.0\nn2 = 2250.0\nt0 = n0 * n0\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "3000" - ], - "split": "train" - }, - { - "Input": "the owner of a furniture shop charges his customer 32 % more than the cost price . if a customer paid rs . 5400 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 32.0\nn1 = 5400.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "4090.9090909090905" - ], - "split": "train" - }, - { - "Input": "a man sold 20 articles for $ 40 and gained 20 % . how many articles should he sell for $ 90 to incur a loss 20 % ?", - "Output Program": [ - "n0 = 20.0\nn1 = 40.0\nn2 = 20.0\nn3 = 90.0\nn4 = 20.0\nt0 = n1 * 100 / (100 + n0) # original_price_before gain\nt1 = n3 * 100 / (100 + 1e-5 - n0) # original price before loss\nt2 = t0 / n0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "67.49999156250105" - ], - "split": "train" - }, - { - "Input": "in xyz business school , 88 % are taking their specialization as finance at the same time 76 % taking their specialization as marketing . if 90 % are taking their specialization as finance then , what is % of marketing specialization students ?", - "Output Program": [ - "n0 = 88.0\nn1 = 76.0\nn2 = 90.0\nt0 = n2 - n1\nt1 = n0 - t0\nt2 = t1 / 3.0\nt3 = t2 + t2\nt4 = t3 - 3.0\nt5 = t3 - t4\nanswer = t4 - t5\nprint(answer)" - ], - "Output Answer": [ - "43.333333333333336" - ], - "split": "train" - }, - { - "Input": "on a map , 3 centimeters represents 33 kilometers . two cities 209 kilometers apart would be separated on the map by how many centimeters ?", - "Output Program": [ - "n0 = 3.0\nn1 = 33.0\nn2 = 209.0\nt0 = n0 / n1\nanswer = n2 * t0\nprint(answer)" - ], - "Output Answer": [ - "19" - ], - "split": "train" - }, - { - "Input": "a cricket bat is sold for $ 850 , making a profit of $ 230 . the profit percentage would be", - "Output Program": [ - "n0 = 850.0\nn1 = 230.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "37.096774193548384" - ], - "split": "train" - }, - { - "Input": "? % of 360 = 108.0", - "Output Program": [ - "n0 = 360.0\nn1 = 108.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "a grocer purchased a quantity of bananas at 3 pounds for $ 0.50 and sold the entire quantity at 4 pounds for $ 1.00 . how many pounds did the grocer purchase if the profit from selling the bananas was $ 7.00 ?", - "Output Program": [ - "n0 = 3.0\nn1 = 0.5\nn2 = 4.0\nn3 = 1.0\nn4 = 7.0\nt0 = n3 / n2\nt1 = n1 / 3.0\nt2 = t0 - t1\nanswer = n4 / t2\nprint(answer)" - ], - "Output Answer": [ - "83.99999999999999" - ], - "split": "train" - }, - { - "Input": "in how many years will a sum of money doubles itself at 5 % per annum on simple interest ?", - "Output Program": [ - "n0 = 5.0\n\nanswer = 100.0 / n0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "in an election , candidate a got 75 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favor of candidate .", - "Output Program": [ - "n0 = 75.0\nn1 = 15.0\nn2 = 560000.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = 1.0 - t1\nt3 = n2 * t2\nanswer = t0 * t3\nprint(answer)" - ], - "Output Answer": [ - "357000" - ], - "split": "train" - }, - { - "Input": "a store reduced the price of all items in the store by 15 % on the first day and by another 10 % on the second day . the price of items on the second day was what percent of the price before the first reduction took place ?", - "Output Program": [ - "n0 = 15.0\nn1 = 10.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 * t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "76.5" - ], - "split": "train" - }, - { - "Input": "a chartered bank offers a 5 - year escalator guaranteed investment certificate . in successive years it pays annual interest rates of 4 % , 4.5 % , 5 % , 5.5 % , and 6 % , respectively , compounded at the end of each year . the bank also offers regular 5 - year gics paying a fixed rate of 5 % compounded annually . calculate and compare the maturity values of $ 1000 invested in each type of gic . ( note that 5 % is the average of the 5 successive one - year rates paid on the escalator gic . )", - "Output Program": [ - "n0 = 5.0\nn1 = 4.0\nn2 = 4.5\nn3 = 5.0\nn4 = 5.5\nn5 = 6.0\nn6 = 5.0\nn7 = 5.0\nn8 = 1000.0\nn9 = 5.0\nn10 = 5.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n0, 5)\nanswer = n8 * t2\nprint(answer)" - ], - "Output Answer": [ - "1276.2815625000003" - ], - "split": "train" - }, - { - "Input": "a certain company reported that the revenue on sales increased 40 % from 2000 to 2003 , and increased 90 % from 2000 to 2005 . what was the approximate percent increase in revenue for this store from 2003 to 2005 ?", - "Output Program": [ - "n0 = 40.0\nn1 = 2000.0\nn2 = 2003.0\nn3 = 90.0\nn4 = 2000.0\nn5 = 2005.0\nn6 = 2003.0\nn7 = 2005.0\nt0 = n3 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 - t3\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "35.714285714285715" - ], - "split": "train" - }, - { - "Input": "what sum of money will produce rs . 75 as simple interest in 4 years at 3 1 / 2 percent ?", - "Output Program": [ - "n0 = 75.0\nn1 = 4.0\nn2 = 3.0\nn3 = 1.0\nn4 = 2.0\nt0 = n3 / n4\nt1 = n2 + t0\nt2 = n1 * t1\nt3 = t2 / 100.0\nanswer = n0 / t3\nprint(answer)" - ], - "Output Answer": [ - "535.7142857142857" - ], - "split": "train" - }, - { - "Input": "the compound interest earned by sunil on a certain amount at the end of two years at the rate of 8 % p . a . was rs . 2828.80 . find the total amount that sunil got back at the end of two years in the form of principal plus interest earned .", - "Output Program": [ - "n0 = 8.0\nn1 = 2828.8\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nt3 = t2 - 1.0\nt4 = n1 / t3\nanswer = n1 + t4\nprint(answer)" - ], - "Output Answer": [ - "19828.79999999999" - ], - "split": "train" - }, - { - "Input": "in an examination 35 % of the students passed and 520 failed . how many students appeared for the examination ?", - "Output Program": [ - "n0 = 35.0\nn1 = 520.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "train" - }, - { - "Input": "a 6 litre sol is 25 % alcohol . how many litres of pure alcohol must be added to produce a sol that is 50 % alcohol ?", - "Output Program": [ - "n0 = 6.0\nn1 = 25.0\nn2 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = t1 * 2.0\nanswer = n0 - t2\nprint(answer)" - ], - "Output Answer": [ - "3" - ], - "split": "train" - }, - { - "Input": "a company has two types of machines , type r and type s . operating at a constant rate a machine of r does a certain job in 36 hours and a machine of type s does the job in 2 hours . if the company used the same number of each type of machine to do job in 12 hours , how many machine r were used ?", - "Output Program": [ - "n0 = 36.0\nn1 = 2.0\nn2 = 12.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n1 * t2\nanswer = 1.0 / t3\nprint(answer)" - ], - "Output Answer": [ - "0.9473684210526315" - ], - "split": "train" - }, - { - "Input": "the balance of a trader weighs 20 % less than it should . still the trader marks up his goods to get an overall profit of 30 % . what is the mark up on the cost price ?", - "Output Program": [ - "n0 = 20.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = n0 * 4.0\nt2 = t0 * t1\nt3 = t2 + t1\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "jill invests $ 10000 in an account that pays an annual rate of 3.96 % , compounding semi - annually . approximately how much w does she have in her account after two years ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 3.96\nt0 = n1 / 100.0\nt1 = t0 / 2.0\nt2 = t1 + 1.0\nt3 = t2**min(4.0, 5)\nanswer = n0 * t3\nprint(answer)" - ], - "Output Answer": [ - "10815.834432633617" - ], - "split": "train" - }, - { - "Input": "a milkman purchases the milk at rs . x per litre and sells it at rs . 2 x per litre still he mixes 2 litres water with every 6 litres of pure milk . what is the profit percentage ?", - "Output Program": [ - "n0 = 2.0\nn1 = 2.0\nn2 = 6.0\nt0 = n0 + n2\nt1 = n0 * t0\nt2 = t1 / n2\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "166.66666666666666" - ], - "split": "train" - }, - { - "Input": "a person distributed 15 % of his income to his 3 children each . he deposited 30 % of his income to his wife ' s account . he donated 10 % of remaining amount to an orphan house . finally he has $ 40000 . find his total income ?", - "Output Program": [ - "n0 = 15.0\nn1 = 3.0\nn2 = 30.0\nn3 = 10.0\nn4 = 40000.0\nt0 = n0 * n1\nt1 = n2 + t0\nt2 = n3 + t1\nt3 = 100.0 - t2\nt4 = n4 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "266666.6666666666" - ], - "split": "train" - }, - { - "Input": "a sum fetched a total simple interest of rs . 4016.25 at the rate of 5 % p . a . in 5 years . what is the sum ?", - "Output Program": [ - "n0 = 4016.25\nn1 = 5.0\nn2 = 5.0\nt0 = n0 * 100.0\nt1 = t0 / n1\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "16065" - ], - "split": "train" - }, - { - "Input": "what quantity of water should taken out to concentrate 15 liters of 40 % acidic liquid to 60 % acidic liquid ?", - "Output Program": [ - "n0 = 15.0\nn1 = 40.0\nn2 = 60.0\nt0 = n0 * n1\nt1 = t0 / n2\nanswer = n0 - t1\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "ms . lopez deposits $ 140 in an account that pays 20 % interest , compounded semiannually . how much money will there be in the account at the end of one year ?", - "Output Program": [ - "n0 = 140.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = t0 / 2.0\nt2 = t1 + 1.0\nt3 = t2**min(2.0, 5)\nanswer = n0 * t3\nprint(answer)" - ], - "Output Answer": [ - "169.40000000000003" - ], - "split": "train" - }, - { - "Input": "a 16 % stock yielding 14 % is quoted at :", - "Output Program": [ - "n0 = 16.0\nn1 = 14.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "114.28571428571429" - ], - "split": "train" - }, - { - "Input": "reena took a loan of $ . 1200 with simple interest for as many years as the rate of interest . if she paid $ 432 as interest at the end of the loan period , what was the rate of interest ?", - "Output Program": [ - "import math\nn0 = 1200.0\nn1 = 432.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nanswer = math.sqrt(max(0, t1))\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "by selling an article at rs . 120 , a profit of 25 % is made . find its cost price ?", - "Output Program": [ - "n0 = 120.0\nn1 = 25.0\nt0 = n1 + 100.0\nt1 = n0 * 100.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "96" - ], - "split": "train" - }, - { - "Input": "sheela deposits rs . 3400 in bank savings account . if this is 15 % of her monthly income . what is her monthly income in ?", - "Output Program": [ - "n0 = 3400.0\nn1 = 15.0\nt0 = n0 * 100.0\nanswer = t0 / n1\nprint(answer)" - ], - "Output Answer": [ - "22666.666666666668" - ], - "split": "train" - }, - { - "Input": "the interest on a certain deposit at 4.5 % p . a . is rs . 405 in one year . how much will the additional interest in one year be on the same deposit at 5 % p . a . ?", - "Output Program": [ - "n0 = 4.5\nn1 = 405.0\nn2 = 5.0\nt0 = n0 / 100.0\nt1 = n1 / t0\nt2 = n2 * t1\nt3 = t2 / 100.0\nanswer = t3 - n1\nprint(answer)" - ], - "Output Answer": [ - "45" - ], - "split": "train" - }, - { - "Input": "two friends plan to walk along a 33 - km trail , starting at opposite ends of the trail at the same time . if friend p ' s rate is 20 % faster than friend q ' s , how many kilometers will friend p have walked when they pass each other ?", - "Output Program": [ - "n0 = 33.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t1 + 1.0\nt3 = n0 / t2\nanswer = t1 * t3\nprint(answer)" - ], - "Output Answer": [ - "17.999999999999996" - ], - "split": "train" - }, - { - "Input": "victor gets 92 % marks in examinations . if these are 368 marks , find the maximum marks .", - "Output Program": [ - "n0 = 92.0\nn1 = 368.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "the population of a village is 10000 . it increases annually at the rate of 20 % p . a . what will be its population after 2 years ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 20.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "14400" - ], - "split": "train" - }, - { - "Input": "in an election only two candidates contested . a candidate secured 70 % of the valid votes and won by a majority of 184 votes . find the total number of valid votes ?", - "Output Program": [ - "n0 = 70.0\nn1 = 184.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "460" - ], - "split": "train" - }, - { - "Input": "the calendar of the year 2060 can be used again in the year ?", - "Output Program": [ - "n0 = 2060.0\nt0 = 4.0 * 4.0\nt1 = t0 - 2.0\nt2 = t1 * 2.0\nanswer = n0 + t2\nprint(answer)" - ], - "Output Answer": [ - "2088" - ], - "split": "train" - }, - { - "Input": "what profit percent is made by selling an article at a certain price , if by selling at 1 / 3 rd of that price , there would be a loss of 20 % ?", - "Output Program": [ - "n0 = 1.0\nn1 = 3.0\nn2 = 20.0\nt0 = n0 / n1\nt1 = 100.0 - n2\nt2 = t1 / t0\nanswer = t2 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "140" - ], - "split": "train" - }, - { - "Input": "the charge for a single room at hotel p is 50 percent less than the charge for a single room at hotel r and 20 percent less than the charge for a single room at hotel g . the charge for a single room at hotel r is what percent greater than the charge for a single room at hotel g ?", - "Output Program": [ - "n0 = 50.0\nn1 = 20.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = t0 / t1\nt3 = t2 * 100.0\nt4 = 100.0 - t3\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "the annual interest rate earned by an investment increased by 10 percent from last year to this year . if the annual interest rate earned by the investment this year was 11 percent , what was the annual interest rate last year ?", - "Output Program": [ - "n0 = 10.0\nn1 = 11.0\nt0 = n1 + 100.0\nt1 = n1 * 100.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "9.90990990990991" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sells 300 metres of cloth for rs . 9000 at a loss of rs . 6 per metre . find his cost price for one metre of cloth ?", - "Output Program": [ - "n0 = 300.0\nn1 = 9000.0\nn2 = 6.0\nt0 = n1 / n0\nanswer = n2 + t0\nprint(answer)" - ], - "Output Answer": [ - "36" - ], - "split": "train" - }, - { - "Input": "i sold a book at a profit of 10 % . had i sold it for $ 150 more , 15 % would have been gained . find the cost price ?", - "Output Program": [ - "n0 = 10.0\nn1 = 150.0\nn2 = 15.0\nt0 = n0 * n1\nt1 = n2 - n0\nt2 = t0 / t1\nt3 = t2 * 100.0\nanswer = t3 / n0\nprint(answer)" - ], - "Output Answer": [ - "3000" - ], - "split": "train" - }, - { - "Input": "add 8 % of 24 and 10 % of 40 .", - "Output Program": [ - "n0 = 8.0\nn1 = 24.0\nn2 = 10.0\nn3 = 40.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nanswer = t2 + t3\nprint(answer)" - ], - "Output Answer": [ - "5.92" - ], - "split": "train" - }, - { - "Input": "running at the same constant rate , 8 identical machines can produce a total of 240 pens per minute . at this rate , how many pens could 5 such machines produce in 5 minutes ?", - "Output Program": [ - "n0 = 8.0\nn1 = 240.0\nn2 = 5.0\nn3 = 5.0\nt0 = n1 / n0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "750" - ], - "split": "train" - }, - { - "Input": "an empty fuel tank with a capacity of 200 gallons was filled partially with fuel a and then to capacity with fuel b . fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume . if the full fuel tank contains 18 gallons of ethanol , how many gallons of fuel a were added ?", - "Output Program": [ - "n0 = 200.0\nn1 = 12.0\nn2 = 16.0\nn3 = 18.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 * t0\nt3 = t0 - t1\nt4 = t2 - n3\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "349.99999999999994" - ], - "split": "train" - }, - { - "Input": "john paid a sum of money for purchasing 30 pens , which he recovered in full when he sold 20 of them . what was his percentage of profit or loss per pen ?", - "Output Program": [ - "n0 = 30.0\nn1 = 20.0\nt0 = n0 - n1\nt1 = t0 / n1\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a sum of money deposited at c . i . amounts to rs . 2420 in 2 years and to rs . 3146 in 3 years . find the rate percent ?", - "Output Program": [ - "n0 = 2420.0\nn1 = 2.0\nn2 = 3146.0\nn3 = 3.0\nt0 = n2 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "if $ 5,000 is invested in an account that earns 6 % interest compounded semi - annually , then the interest earned after one year would be how much greater than if the $ 5,000 had been invested at 8 % simple yearly interest ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 6.0\nn2 = 5000.0\nn3 = 8.0\n\nanswer = n1 * 1.0\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "from january 1 , 2015 , to january 1 , 2017 , the number of people enrolled in health maintenance organizations increased by 5 percent . the enrollment on january 1 , 2017 , was 45 million . how many million people , to the nearest million , were enrolled in health maintenance organizations on january 1 , 2015 ?", - "Output Program": [ - "n0 = 1.0\nn1 = 2015.0\nn2 = 1.0\nn3 = 2017.0\nn4 = 5.0\nn5 = 1.0\nn6 = 2017.0\nn7 = 45.0\nn8 = 1.0\nn9 = 2015.0\nt0 = n4 + 100.0\nt1 = 100.0 / t0\nanswer = n7 * t1\nprint(answer)" - ], - "Output Answer": [ - "42.857142857142854" - ], - "split": "train" - }, - { - "Input": "the number which exceeds 16 % of it by 42 is :", - "Output Program": [ - "n0 = 16.0\nn1 = 42.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "in an election , candidate a got 80 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favor of candidate .", - "Output Program": [ - "n0 = 80.0\nn1 = 15.0\nn2 = 560000.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = 1.0 - t1\nt3 = n2 * t2\nanswer = t0 * t3\nprint(answer)" - ], - "Output Answer": [ - "380800" - ], - "split": "train" - }, - { - "Input": "4 mat - weaves can weaves 4 mats in 4 days . at the same rate , how many mats would be woven by 8 mat - weaves in 8 days ?", - "Output Program": [ - "n0 = 4.0\nn1 = 4.0\nn2 = 4.0\nn3 = 8.0\nn4 = 8.0\nt0 = n0 * n3\nt1 = n0 * n0\nt2 = n3 * t0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "what amount does an investor receive if the investor invests $ 5000 at 10 % p . a . compound interest for two years , compounding done annually ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "6050.000000000001" - ], - "split": "train" - }, - { - "Input": "on a sum of money , the simple interest for 2 years is rs . 320 , while the compound interest is rs . 340 , the rate of interest being the same in both the cases . the rate of interest is", - "Output Program": [ - "n0 = 2.0\nn1 = 320.0\nn2 = 340.0\nt0 = n1 / n0\nt1 = n2 - t0\nt2 = t1 - t0\nt3 = t2 * 100.0\nanswer = t3 / t0\nprint(answer)" - ], - "Output Answer": [ - "12.5" - ], - "split": "train" - }, - { - "Input": "of the votes cast on a certain proposal , 70 more were in favor of the proposal than were against it . if the number of votes against the proposal was 40 percent of the total vote , what was the total number of votes cast ? ( each vote cast was either in favor of the proposal or against it . )", - "Output Program": [ - "n0 = 70.0\nn1 = 40.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "350.00000000000006" - ], - "split": "train" - }, - { - "Input": "a man took loan from a bank at the rate of 12 % p . a . s . i . after 10 years he had to pay rs . 1500 interest only for the period . the principal amount borrowed by him was ?", - "Output Program": [ - "n0 = 12.0\nn1 = 10.0\nn2 = 1500.0\nt0 = n2 * 100.0\nt1 = t0 / n1\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "1250" - ], - "split": "train" - }, - { - "Input": "a cycle is bought for rs . 1000 and sold for rs . 2000 , find the gain percent ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 2000.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "heinz produces tomato puree by boiling tomato juice . the tomato puree has only 20 % water while the tomato juice has 90 % water . how many liters of tomato puree will be obtained from 40 litres of tomato juice ?", - "Output Program": [ - "n0 = 20.0\nn1 = 90.0\nn2 = 40.0\nt0 = 100.0 - n1\nt1 = 100.0 - n0\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = n2 * t2\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "a cylinder of height h is 8 / 9 of water . when all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder , the new cylinder is 3 / 5 full . the height of the new cylinder is what percent of h ?", - "Output Program": [ - "n0 = 8.0\nn1 = 9.0\nn2 = 25.0\nn3 = 3.0\nn4 = 5.0\nt0 = n3 / n4\nt1 = n0 / n1\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "67.5" - ], - "split": "train" - }, - { - "Input": "after decreasing 56 % in the price of an article costs rs . 4400 . find the actual cost of an article ?", - "Output Program": [ - "n0 = 56.0\nn1 = 4400.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "10000.000000000002" - ], - "split": "train" - }, - { - "Input": "a shop owner sells 50 mtr of cloth and gains sp of 10 mtrs . find the gain % ?", - "Output Program": [ - "n0 = 50.0\nn1 = 10.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "find compound interest on rs . 7500 at 4 % per annum for 2 years , compounded annually .", - "Output Program": [ - "n0 = 7500.0\nn1 = 4.0\nn2 = 2.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 + t1\nt3 = n1 * t2\nt4 = t3 / 100.0\nt5 = t2 + t4\nanswer = t5 - n0\nprint(answer)" - ], - "Output Answer": [ - "612" - ], - "split": "train" - }, - { - "Input": "if $ 5,000 is invested in an account that earns 12 % interest compounded semi - annually , then the interest earned after one year would be how much greater than if the $ 5,000 had been invested at 8 % simple yearly interest ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 12.0\nn2 = 5000.0\nn3 = 8.0\n\nanswer = n1 * 1.0\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "train" - }, - { - "Input": "the profit earned by selling an article for rs . 832 is equal to the loss incurred when the same article is sold for rs . 448 . what should be the sale price for making 70 % profit ?", - "Output Program": [ - "n0 = 832.0\nn1 = 448.0\nn2 = 70.0\nt0 = n2 / 100.0\nt1 = n0 - n1\nt2 = t0 + 1.0\nt3 = t1 / 2.0\nt4 = n0 - t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "1088" - ], - "split": "train" - }, - { - "Input": "simple interest on a certain sum of money for 3 years at 8 % per annum is half the compound interest on $ 4000 for 2 years at 10 % per annum . the sum placed on simple interest is :", - "Output Program": [ - "n0 = 3.0\nn1 = 8.0\nn2 = 4000.0\nn3 = 2.0\nn4 = 10.0\nt0 = n2 * n4\nt1 = t0 / 100.0\nt2 = n2 + t1\nt3 = n4 * t2\nt4 = t3 / 100.0\nt5 = t1 + t4\nt6 = t5 / n3\nt7 = t6 / n0\nt8 = t7 * 100.0\nanswer = t8 / n1\nprint(answer)" - ], - "Output Answer": [ - "1750" - ], - "split": "train" - }, - { - "Input": "in one hour , a boat goes 11 km along the stream and 3 km against the stream . the sped of the boat in still water ( in km / hr ) is :", - "Output Program": [ - "n0 = 11.0\nn1 = 3.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "7" - ], - "split": "train" - }, - { - "Input": "a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $ 200 . if a store employee applied the 5 percent employee discount to the retail price to buy the recorder , how much did the employee pay for the recorder ?", - "Output Program": [ - "n0 = 20.0\nn1 = 200.0\nn2 = 5.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n1 + t1\nt3 = t2 / 100.0\nt4 = n2 * t3\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "228" - ], - "split": "train" - }, - { - "Input": "there were two candidates in an election . winner candidate received 54 % of votes and won the election by 288 votes . find the number of votes casted to the winning candidate ?", - "Output Program": [ - "n0 = 54.0\nn1 = 288.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nt3 = n1 / t2\nt4 = n0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1944" - ], - "split": "train" - }, - { - "Input": "a person bought 115 glass bowls at a rate of rs . 18 per bowl . he sold 104 of them at rs . 20 and the remaining broke . what is the percentage gain for a ?", - "Output Program": [ - "n0 = 115.0\nn1 = 18.0\nn2 = 104.0\nn3 = 20.0\nt0 = n2 * n3\nt1 = n0 * n1\nt2 = t0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "0.4830917874396135" - ], - "split": "train" - }, - { - "Input": "a man can row his boat with the stream at 14 km / h and against the stream in 4 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 14.0\nn1 = 4.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "there are two groups of students in the sixth grade . there are 20 students in group a , and 80 students in group b . if , on a particular day , 20 % of the students in group a forget their homework , and 15 % of the students in group b forget their homework , then what percentage of the sixth graders forgot their homework ?", - "Output Program": [ - "n0 = 20.0\nn1 = 80.0\nn2 = 20.0\nn3 = 15.0\nt0 = n0 + n1\nt1 = n0 * n2\nt2 = n1 * n3\nt3 = t1 / 100.0\nt4 = t2 / 100.0\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "suresh started a business , investing rs . 18000 . after 3 months and 4 months respectively , rohan and sudhir joined him with capitals of 12000 and 9000 . at the end of the year the total profit was rs . 4048 . what is the difference between rohan \u2019 s and sudhir \u2019 s share in the profit ?", - "Output Program": [ - "n0 = 18000.0\nn1 = 3.0\nn2 = 4.0\nn3 = 12000.0\nn4 = 9000.0\nn5 = 4048.0\nt0 = n1 * n2\nt1 = t0 - n1\nt2 = t0 - n2\nt3 = t1 / t0\nt4 = t2 / t0\nt5 = n3 * t3\nt6 = n4 * t4\nt7 = n0 + t5\nt8 = t5 - t6\nt9 = t7 + t6\nt10 = n5 / t9\nanswer = t10 * t8\nprint(answer)" - ], - "Output Answer": [ - "368" - ], - "split": "train" - }, - { - "Input": "the salaries of a and b together amount to $ 3000 . a spends 95 % of his salary and b , 85 % of his . if now , their savings are the same , what is a ' s salary ?", - "Output Program": [ - "n0 = 3000.0\nn1 = 95.0\nn2 = 85.0\nt0 = 100.0 - n2\nt1 = 100.0 - n1\nt2 = t0 / t1\nt3 = t2 + 1.0\nt4 = n0 / t3\nanswer = n0 - t4\nprint(answer)" - ], - "Output Answer": [ - "2250" - ], - "split": "train" - }, - { - "Input": "a 13 % stock yields 8 % . the market value of the stock is :", - "Output Program": [ - "n0 = 13.0\nn1 = 8.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "162.5" - ], - "split": "train" - }, - { - "Input": "victor gets 92 % marks in examinations . if these are 460 marks , find the maximum marks .", - "Output Program": [ - "n0 = 92.0\nn1 = 460.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "train" - }, - { - "Input": "exactly 30 % of the reporters for a certain wire service cover local politics in country x . if 25 % of the reporters who cover politics for the wire service do not cover local politics in country x , what percent of the reporters for the wire service do not cover politics ?", - "Output Program": [ - "n0 = 30.0\nn1 = 25.0\nt0 = 100.0 - n1\nt1 = n0 / t0\nt2 = 1.0 - t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "the price of a t . v . set worth rs . 12000 is to be paid in 20 installments of rs . 1200 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ?", - "Output Program": [ - "n0 = 12000.0\nn1 = 20.0\nn2 = 1200.0\nn3 = 6.0\n\nanswer = n0 - n2\nprint(answer)" - ], - "Output Answer": [ - "10800" - ], - "split": "train" - }, - { - "Input": "a survey of employers found that during 1993 employment costs rose 3.5 percent , where employment costs consist of salary costs and fringe - benefit costs . if salary costs rose 3 percent and fringe - benefit costs rose 5.5 percent during 1993 , then fringe - benefit costs represented what percent of employment costs at the beginning of 1993 ?", - "Output Program": [ - "n0 = 1993.0\nn1 = 3.5\nn2 = 3.0\nn3 = 5.5\nn4 = 1993.0\nn5 = 1993.0\nt0 = n1 - n2\nt1 = n3 - n2\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "by weight , liquid x makes up 0.5 percent of solution p and 1.5 percent of solution q . if 200 grams of solution p are mixed with 800 grams of solution q , then liquid x accounts for what percent of the weight of the resulting solution ?", - "Output Program": [ - "n0 = 0.5\nn1 = 1.5\nn2 = 200.0\nn3 = 800.0\nt0 = n1 * n3\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nt3 = t2 / 1000.0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "1.3" - ], - "split": "train" - }, - { - "Input": "a fruit seller sells mangoes at the rate of rs . 5 per kg and thereby loses 20 % . at what price per kg , he should have sold them to make a profit of 5 %", - "Output Program": [ - "n0 = 5.0\nn1 = 20.0\nn2 = 5.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = n0 * t0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "6.5625" - ], - "split": "train" - }, - { - "Input": "a sum was put a simple interest at a certain rate for 5 years . had it been put at 2 % higher rate , it would have fetched rs . 250 more . the sum is :", - "Output Program": [ - "n0 = 5.0\nn1 = 2.0\nn2 = 250.0\nt0 = n2 / n0\nt1 = t0 / n1\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2500" - ], - "split": "train" - }, - { - "Input": "find the simple interest on rs . 68,800 at 16 2 / 3 % per annum for 9 months .", - "Output Program": [ - "n0 = 68800.0\nn1 = 16.0\nn2 = 2.0\nn3 = 3.0\nn4 = 9.0\nt0 = n2 + n3\nt1 = 1.0 / 100.0\nt2 = n3 * n3\nt3 = n2 * n3\nt4 = n1 * n3\nt5 = n2 + t4\nt6 = n2 * t3\nt7 = t3 * 100.0\nt8 = t2 * 100.0\nt9 = t0 * n2\nt10 = t2 / t6\nt11 = t5 / n3\nt12 = t7 * 100.0\nt13 = t8 * t9\nt14 = t12 + t13\nt15 = t14 * t11\nt16 = t10 * t15\nanswer = t1 * t16\nprint(answer)" - ], - "Output Answer": [ - "8625" - ], - "split": "train" - }, - { - "Input": "4 mat - weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 6 mat - weavers in 6 days ?", - "Output Program": [ - "n0 = 4.0\nn1 = 4.0\nn2 = 4.0\nn3 = 6.0\nn4 = 6.0\nt0 = n3 / n0\nt1 = n0 * t0\nanswer = t0 * t1\nprint(answer)" - ], - "Output Answer": [ - "9" - ], - "split": "train" - }, - { - "Input": "tickets to a certain concert sell for $ 20 each . the first 10 people to show up at the ticket booth received a 40 % discount , and the next 20 received a 15 % discount . if 50 people bought tickets to the concert , what was the total revenue from ticket sales ?", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nn2 = 40.0\nn3 = 20.0\nn4 = 15.0\nn5 = 50.0\nt0 = n2 / 100.0\nt1 = n4 / 100.0\nt2 = n5 - n0\nt3 = 1.0 - t0\nt4 = t2 - n1\nt5 = 1.0 - t1\nt6 = n1 * t3\nt7 = n0 * t5\nt8 = t6 + t4\nt9 = t8 + t7\nanswer = n0 * t9\nprint(answer)" - ], - "Output Answer": [ - "860" - ], - "split": "train" - }, - { - "Input": "there are 1000 students in a school and among them 25 % of them attends chess class . 50 % of the students who are in the chess class are also enrolled for swimming . no other students are interested in swimming so how many will attend the swimming class if all enrolled attends ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 25.0\nn2 = 50.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n2 * t1\nanswer = t2 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "125" - ], - "split": "train" - }, - { - "Input": "a man buys a cycle for rs . 1600 and sells it at a loss of 15 % . what is the selling price of the cycle ?", - "Output Program": [ - "n0 = 1600.0\nn1 = 15.0\nt0 = 100.0 - n1\nt1 = n0 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1360" - ], - "split": "train" - }, - { - "Input": "a tempo is insured to an extent of 5 / 7 of its original value . if the premium on it at the rate of 3 % amounts to $ 300 , the original value of the tempo is ?", - "Output Program": [ - "n0 = 5.0\nn1 = 7.0\nn2 = 3.0\nn3 = 300.0\nt0 = n0 / n1\nt1 = n2 * t0\nt2 = t1 / 100.0\nanswer = n3 / t2\nprint(answer)" - ], - "Output Answer": [ - "14000" - ], - "split": "train" - }, - { - "Input": "the ratio of the cost price and selling price is 4 : 5 . the profit percent is ?", - "Output Program": [ - "n0 = 4.0\nn1 = 5.0\nt0 = n1 / n0\nt1 = t0 - 1.0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "one fourth of a solution that was 10 % sugar by weight was replaced by a second solution resulting in a solution that was 14 percent sugar by weight . the second solution was what percent sugar by weight ?", - "Output Program": [ - "n0 = 10.0\nn1 = 14.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 / 4.0\nt3 = t0 * 100.0\nt4 = t2 * 100.0\nt5 = 100.0 - t4\nt6 = t1 * t5\nt7 = t3 - t6\nt8 = t7 / t4\nanswer = t8 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "26.000000000000007" - ], - "split": "train" - }, - { - "Input": "a person buys an article at rs . 550 . at what price should he sell the article so as to make a profit of 30 % ?", - "Output Program": [ - "n0 = 550.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "715" - ], - "split": "train" - }, - { - "Input": "an article with cost price of 280 is sold at 30 % profit . what is the selling price ?", - "Output Program": [ - "n0 = 280.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "364" - ], - "split": "train" - }, - { - "Input": "a trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg . in order to earn a profit of 30 % , what should be the sale price of the mixed tea ?", - "Output Program": [ - "n0 = 80.0\nn1 = 15.0\nn2 = 20.0\nn3 = 20.0\nn4 = 30.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n2\nt3 = t1 + t2\nt4 = t3 / t0\nt5 = n4 * t4\nt6 = t5 / 100.0\nanswer = t6 + t4\nprint(answer)" - ], - "Output Answer": [ - "20.8" - ], - "split": "train" - }, - { - "Input": "what is the cp of rs 100 stock at 4 discount , with 1 / 5 % brokerage ?", - "Output Program": [ - "n0 = 100.0\nn1 = 4.0\nn2 = 1.0\nn3 = 5.0\nt0 = n2 / n3\nt1 = n0 - n1\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "96.2" - ], - "split": "train" - }, - { - "Input": "if a large pizza has a radius that is 60 % larger that that of a medium pizza , what is the percent increase in area between a medium and a large pizza ?", - "Output Program": [ - "n0 = 60.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "156.00000000000006" - ], - "split": "train" - }, - { - "Input": "a towel , when bleached , lost 20 % of its length and 20 % of its breadth . what is the percentage decrease in area ?", - "Output Program": [ - "n0 = 20.0\nn1 = 20.0\nt0 = 100.0 * 100.0\nt1 = 100.0 - n0\nt2 = 100.0 - n1\nt3 = t1 * t2\nt4 = t0 - t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "36" - ], - "split": "train" - }, - { - "Input": "a feed store sells two varieties of birdseed : brand a , which is 40 % millet and 60 % sunflower , and brand b , which is 65 % millet and 35 % safflower . if a customer purchases a mix of the two types of birdseed that is 50 % millet , what percent of the mix is brand a ?", - "Output Program": [ - "n0 = 40.0\nn1 = 60.0\nn2 = 65.0\nn3 = 35.0\nn4 = 50.0\nt0 = 2.0 + 3.0\nt1 = 3.0 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "the population of a town is 8000 . it decreases annually at the rate of 20 % p . a . what will be its population after 2 years ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 20.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n0 - t1\nt3 = t0 * t2\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "5120" - ], - "split": "train" - }, - { - "Input": "a man buys an item at rs . 600 and sells it at the loss of 20 percent . then what is the selling price of that item", - "Output Program": [ - "n0 = 600.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "480" - ], - "split": "train" - }, - { - "Input": "last month , john rejected 0.5 % of the products that he inspected and jane rejected 0.8 percent of the products that she inspected . if total of 0.75 percent of the products produced last month were rejected , what fraction of the products did jane inspect ?", - "Output Program": [ - "n0 = 0.5\nn1 = 0.8\nn2 = 0.75\nt0 = n2 - n0\nt1 = n1 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.8333333333333333" - ], - "split": "train" - }, - { - "Input": "a towel , when bleached , was found to have lost 20 % of its length and 10 % of its breadth . the percentage of decrease in area is :", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 * t3\nt5 = 1.0 - t4\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "27.999999999999993" - ], - "split": "train" - }, - { - "Input": "at what rate percent per annum will the simple interest on a sum of money be 2 / 5 of the amount in 10 years ?", - "Output Program": [ - "n0 = 2.0\nn1 = 5.0\nn2 = 10.0\nt0 = n0 / n1\nt1 = t0 * 100.0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "a cycle is bought for rs . 900 and sold for rs . 1125 , find the gain percent ?", - "Output Program": [ - "n0 = 900.0\nn1 = 1125.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "how long will a boy take to run round a square field of side 50 meters , if he runs at the rate of 9 km / hr ?", - "Output Program": [ - "n0 = 50.0\nn1 = 9.0\nt0 = 1000.0 / 3600.0\nt1 = n0 * 4.0\nt2 = n1 * t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "mike needs 30 % to pass . if he scored 212 marks and falls short by 22 marks , what was the maximum marks he could have got ?", - "Output Program": [ - "n0 = 30.0\nn1 = 212.0\nn2 = 22.0\nt0 = n1 + n2\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "780" - ], - "split": "train" - }, - { - "Input": "in an election only two candidates contested . a candidate secured 70 % of the valid votes and won by a majority of 172 votes . find the total number of valid votes ?", - "Output Program": [ - "n0 = 70.0\nn1 = 172.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "430" - ], - "split": "train" - }, - { - "Input": "a watch was sold at a loss of 46 % . if it was sold for rs . 140 more , there would have been a gain of 4 % . what is the cost price ?", - "Output Program": [ - "n0 = 46.0\nn1 = 140.0\nn2 = 4.0\nt0 = 100.0 + n2\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t0 - t2\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "280" - ], - "split": "train" - }, - { - "Input": "a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 % . during the new year season , it further marked up its prices by 25 % of the original retail price . in february , the store then offered a discount of 9 % . what was its profit on the items sold in february ?", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nn2 = 9.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = 100.0 - n2\nt3 = t2 / 100.0\nt4 = t1 / 100.0\nt5 = t0 * t4\nt6 = t3 * t5\nanswer = t6 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "36.5" - ], - "split": "train" - }, - { - "Input": "a man buys a cycle for rs . 1400 and sells it at a loss of 12 % . what is the selling price of the cycle ?", - "Output Program": [ - "n0 = 1400.0\nn1 = 12.0\nt0 = 100.0 - n1\nt1 = n0 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1232" - ], - "split": "train" - }, - { - "Input": "the profit obtained by selling an article for rs . 66 is the same as the loss obtained by selling it for rs . 52 . what is the cost price of the article ?", - "Output Program": [ - "n0 = 66.0\nn1 = 52.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "59" - ], - "split": "train" - }, - { - "Input": "in an election between two candidates , the first candidate got 70 % of the votes and the second candidate got 240 votes . what was the total number of votes ?", - "Output Program": [ - "n0 = 70.0\nn1 = 240.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "train" - }, - { - "Input": "seed mixture x is 40 percent ryegrass and 60 percent bluegrass by weight ; seed mixture y is 25 percent ryegrass and 75 percent fescue . if a mixture of x and y contains 38 percent ryegrass , what percent of the weight of this mixture is x ?", - "Output Program": [ - "n0 = 40.0\nn1 = 60.0\nn2 = 25.0\nn3 = 75.0\nn4 = 38.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n4 - n2\nt3 = t0 - t1\nanswer = t2 / t3\nprint(answer)" - ], - "Output Answer": [ - "86.66666666666666" - ], - "split": "train" - }, - { - "Input": "a sum of rs . 2665 is lent into two parts so that the interest on the first part for 5 years at 3 % per annum may be equal to the interest on the second part for 3 years at 5 % per annum . find the second sum ?", - "Output Program": [ - "n0 = 2665.0\nn1 = 5.0\nn2 = 3.0\nn3 = 3.0\nn4 = 5.0\nt0 = n2 * n4\nt1 = n1 * n2\nt2 = t0 + t1\nt3 = n0 * t0\nt4 = t3 / t2\nanswer = n0 - t4\nprint(answer)" - ], - "Output Answer": [ - "1332.5" - ], - "split": "train" - }, - { - "Input": "a , b and c started a shop by investing rs . 5,000 , rs . 15,000 and rs . 30,000 respectively . at the end of the year , the profits were distributed among them . if c \u00e2 \u20ac \u2122 s share of profit be rs . 3000 , then the total profit was :", - "Output Program": [ - "n0 = 5000.0\nn1 = 15000.0\nn2 = 30000.0\nn3 = 3000.0\nt0 = 2.0 + 3.0\nt1 = t0 * 2.0\nt2 = t0 * t1\nt3 = t2 * 100.0\nt4 = t3 * 3.0\nt5 = t3 + t4\nt6 = t4 * 2.0\nt7 = t5 + t6\nt8 = n3 / t6\nanswer = t7 * t8\nprint(answer)" - ], - "Output Answer": [ - "5000" - ], - "split": "train" - }, - { - "Input": "we had $ 3500 left after spending 30 % of the money that we took for shopping . how much money did we start with ?", - "Output Program": [ - "n0 = 3500.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "5000" - ], - "split": "train" - }, - { - "Input": "if the cost price is 98 % of sp then what is the profit %", - "Output Program": [ - "n0 = 98.0\nt0 = 100.0 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2.0408163265306123" - ], - "split": "train" - }, - { - "Input": "the banker \u00e2 \u20ac \u2122 s discount of a certain sum of money is rs . 78 and the true discount on the same sum for the same time is rs . 66 . the sum due is", - "Output Program": [ - "n0 = 78.0\nn1 = 66.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "429" - ], - "split": "train" - }, - { - "Input": "machine a and machine g are each used to manufacture 660 sprockets . it takes machine a 10 hours longer to produce 660 sprockets than machine g . machine g produces 10 percent more sprockets per hour than machine a . how many sprockets per hour does machine a produces ?", - "Output Program": [ - "n0 = 660.0\nn1 = 10.0\nn2 = 660.0\nn3 = 10.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n0 * t1\nt3 = n1 * t2\nt4 = t2 - n0\nt5 = t3 / t4\nanswer = n0 / t5\nprint(answer)" - ], - "Output Answer": [ - "6.000000000000009" - ], - "split": "train" - }, - { - "Input": "in one alloy there is 12 % chromium while in another alloy it is 8 % . 10 kg of the first alloy was melted together with 30 kg of the second one to form a third alloy . find the percentage of chromium in the new alloy .", - "Output Program": [ - "n0 = 12.0\nn1 = 8.0\nn2 = 10.0\nn3 = 30.0\nt0 = n2 + n3\nt1 = n0 * n2\nt2 = n1 * n3\nt3 = t1 / 100.0\nt4 = t2 / 100.0\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "9" - ], - "split": "train" - }, - { - "Input": "in order to obtain an income of rs . 650 from 10 % stock at rs . 96 , one must make an investment of :", - "Output Program": [ - "n0 = 650.0\nn1 = 10.0\nn2 = 96.0\nt0 = n2 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "6240" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold 10 articles at the cost price of 12 articles . then find the profit % or lost %", - "Output Program": [ - "n0 = 10.0\nn1 = 12.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "a circle graph shows how the megatech corporation allocates its research and development budget : 14 % microphotonics ; 19 % home electronics ; 10 % food additives ; 24 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics . if the arc of each sector of the graph is proportional to the percentage of the budget it represents , how many degrees of the circle are used to represent basic astrophysics research ?", - "Output Program": [ - "n0 = 14.0\nn1 = 19.0\nn2 = 10.0\nn3 = 24.0\nn4 = 8.0\nt0 = n0 + n1\nt1 = 3600.0 / 10.0\nt2 = n2 + t0\nt3 = n3 + t2\nt4 = n4 + t3\nt5 = 100.0 - t4\nt6 = t1 * t5\nanswer = t6 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "90" - ], - "split": "train" - }, - { - "Input": "the profit earned by selling an article for rs . 753 is equal to the loss incurred when the same article is sold for rs . 455 . what should be the sale price for making 50 % profit ?", - "Output Program": [ - "n0 = 753.0\nn1 = 455.0\nn2 = 50.0\nt0 = n2 / 100.0\nt1 = n0 - n1\nt2 = t0 + 1.0\nt3 = t1 / 2.0\nt4 = n0 - t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "906" - ], - "split": "train" - }, - { - "Input": "the banker ' s gain on a sum due 6 years hence at 12 % per annum is rs . 756 . what is the banker ' s discount ?", - "Output Program": [ - "n0 = 6.0\nn1 = 12.0\nn2 = 756.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nt2 = t0 / t1\nanswer = n2 + t2\nprint(answer)" - ], - "Output Answer": [ - "1806" - ], - "split": "train" - }, - { - "Input": "one fourth of one third of two fifth of a number is 35 . what will be 40 % of that number", - "Output Program": [ - "n0 = 35.0\nn1 = 40.0\nt0 = 2.0 + 3.0\nt1 = 1.0 / 4.0\nt2 = 1.0 / 3.0\nt3 = 2.0 / t0\nt4 = t1 * t2\nt5 = t3 * t4\nt6 = n0 / t5\nt7 = n1 * t6\nanswer = t7 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "420" - ], - "split": "train" - }, - { - "Input": "if a lends rs . 25000 to b at 10 % per annum and b lends the same sum to c at 11.5 % per annum then the gain of b in a period of 3 years is ?", - "Output Program": [ - "n0 = 25000.0\nn1 = 10.0\nn2 = 11.5\nn3 = 3.0\nt0 = n0 * n2\nt1 = n0 * n1\nt2 = t0 * n3\nt3 = n3 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nanswer = t4 - t5\nprint(answer)" - ], - "Output Answer": [ - "1125" - ], - "split": "train" - }, - { - "Input": "50 is what percent of 125 ?", - "Output Program": [ - "n0 = 50.0\nn1 = 125.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "a man ' s speed with the current is 22 km / hr and the speed of the current is 5 km / hr . the man ' s speed against the current is", - "Output Program": [ - "n0 = 22.0\nn1 = 5.0\nt0 = n0 - n1\nanswer = t0 - n1\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "train" - }, - { - "Input": "a sum fetched a total simple interest of rs . 100 at the rate of 5 p . c . p . a . in 4 years . what is the sum ?", - "Output Program": [ - "n0 = 100.0\nn1 = 5.0\nn2 = 4.0\nt0 = n0 * 100.0\nt1 = t0 / n1\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "train" - }, - { - "Input": "a customer pays 70 dollars for a coffee maker after a discount of 20 dollars what is the original price of the coffe maker ?", - "Output Program": [ - "n0 = 70.0\nn1 = 20.0\n\nanswer = n0 + n1\nprint(answer)" - ], - "Output Answer": [ - "90" - ], - "split": "train" - }, - { - "Input": "if 40 % of a certain number is 160 , then what is 50 % of that number ?", - "Output Program": [ - "n0 = 40.0\nn1 = 160.0\nn2 = 50.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 / t0\nanswer = t2 * t1\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "a man can row his boat with the stream at 12 km / h and against the stream in 4 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 12.0\nn1 = 4.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "the cost of one photocopy is $ 0.02 . however , a 25 % discount is offered on orders of more than 100 photocopies . if steve and dinley have to make 80 copies each , how much will each of them save if they submit a single order of 160 copies ?", - "Output Program": [ - "n0 = 0.02\nn1 = 25.0\nn2 = 100.0\nn3 = 80.0\nn4 = 160.0\nt0 = n0 * n3\nt1 = n2 - n1\nt2 = t1 / n2\nt3 = t0 * 2.0\nt4 = n4 * t2\nt5 = n0 * t4\nt6 = t3 - t5\nanswer = t6 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "0.40000000000000013" - ], - "split": "train" - }, - { - "Input": "if the cost price is 81 % of selling price then what is the profit percentage .", - "Output Program": [ - "n0 = 81.0\nt0 = 100.0 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "23.456790123456788" - ], - "split": "train" - }, - { - "Input": "at joel \u2019 s bookstore , the current inventory is 40 % historical fiction . of the historical fiction books , 40 % are new releases , while 20 % of the other books are new releases . what fraction of all new releases are the historical fiction new releases ?", - "Output Program": [ - "n0 = 40.0\nn1 = 40.0\nn2 = 20.0\nt0 = n0 * n1\nt1 = 100.0 - n0\nt2 = t0 / 100.0\nt3 = n2 * t1\nt4 = t3 / 100.0\nt5 = t2 + t4\nanswer = t2 / t5\nprint(answer)" - ], - "Output Answer": [ - "0.5714285714285714" - ], - "split": "train" - }, - { - "Input": "a person purchases 90 clocks and sells 40 clocks at a gain of 10 % and 50 clocks at a gain of 20 % . if he sold all of them at a uniform profit of 15 % , then he would have got rs . 40 less . the cost price of each clock is ?", - "Output Program": [ - "n0 = 90.0\nn1 = 40.0\nn2 = 10.0\nn3 = 50.0\nn4 = 20.0\nn5 = 15.0\nn6 = 40.0\nt0 = n2 / 100.0\nt1 = n4 / 100.0\nt2 = n5 / 100.0\nt3 = t0 + 1.0\nt4 = t1 + 1.0\nt5 = t2 + 1.0\nt6 = n1 * t3\nt7 = n3 * t4\nt8 = n0 * t5\nt9 = t6 + t7\nt10 = t9 - t8\nanswer = n1 / t10\nprint(answer)" - ], - "Output Answer": [ - "79.99999999999773" - ], - "split": "train" - }, - { - "Input": "a man ' s speed with the current is 15 km / hr and the speed of the current is 2.5 km / hr . the man ' s speed against the current is ?", - "Output Program": [ - "n0 = 15.0\nn1 = 2.5\nt0 = n0 - n1\nanswer = t0 - n1\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "a man ' s speed with the current is 21 km / hr and the speed of the current is 4.3 km / hr . the man ' s speed against the current is", - "Output Program": [ - "n0 = 21.0\nn1 = 4.3\nt0 = n0 - n1\nanswer = t0 - n1\nprint(answer)" - ], - "Output Answer": [ - "12.399999999999999" - ], - "split": "train" - }, - { - "Input": "martin buys a pencil and a notebook for 80 cents . at the same store , gloria buys a notebook and an eraser for 85 cents , and zachary buys a pencil and an eraser for 45 cents . how many cents would it cost to buy 3 pencils , 3 notebooks , and 3 erasers ? ( assume that there is no volume discount . )", - "Output Program": [ - "n0 = 80.0\nn1 = 85.0\nn2 = 45.0\nn3 = 3.0\nn4 = 3.0\nn5 = 3.0\nt0 = n0 - n2\nt1 = n1 + t0\nt2 = t1 / 2.0\nt3 = n3 * t2\nt4 = n0 - t2\nt5 = n3 * t4\nt6 = n2 - t4\nt7 = n3 * t6\nt8 = t7 + t5\nanswer = t8 + t3\nprint(answer)" - ], - "Output Answer": [ - "315" - ], - "split": "train" - }, - { - "Input": "a man buys a cycle for rs . 1400 and sells it at a loss of 25 % . what is the selling price of the cycle ?", - "Output Program": [ - "n0 = 1400.0\nn1 = 25.0\nt0 = 100.0 - n1\nt1 = n0 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1050" - ], - "split": "train" - }, - { - "Input": "machine a and machine b are each used to manufacture 770 sprockets . it takes machine a 10 hours longer to produce 770 sprockets than machine b . machine b produces 10 percent more sprockets per hour than machine a . how many sprockets per hour does machine a produces ?", - "Output Program": [ - "n0 = 770.0\nn1 = 10.0\nn2 = 770.0\nn3 = 10.0\nt0 = n1 + 100.0\nt1 = n0 * n1\nt2 = t0 / 100.0\nt3 = t2 * t1\nt4 = n0 * t2\nt5 = t4 - n0\nt6 = t3 / t5\nanswer = n0 / t6\nprint(answer)" - ], - "Output Answer": [ - "7.00000000000001" - ], - "split": "train" - }, - { - "Input": "a company has two types of machines , type r and type s . operating at a constant rate a machine of r does a certain job in 36 hours and a machine of type s does the job in 36 hours . if the company used the same number of each type of machine to do job in 12 hours , how many machine r were used ?", - "Output Program": [ - "n0 = 36.0\nn1 = 36.0\nn2 = 12.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = 2.0 * t2\nanswer = 1.0 / t3\nprint(answer)" - ], - "Output Answer": [ - "9" - ], - "split": "train" - }, - { - "Input": "a man sells a car to his friend at 11 % loss . if the friend sells it for rs . 54000 and gains 20 % , the original c . p . of the car was :", - "Output Program": [ - "n0 = 11.0\nn1 = 54000.0\nn2 = 20.0\nt0 = n2 + 100.0\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t1 / t0\nt4 = t3 * 100.0\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "50561.79775280899" - ], - "split": "train" - }, - { - "Input": "an inspector rejects 0.08 % of the meters as defective , how many meters he examine to reject 2 meteres", - "Output Program": [ - "n0 = 0.08\nn1 = 2.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "2500" - ], - "split": "train" - }, - { - "Input": "increasing the original price of a certain item by 30 percent and then increasing the new price by 30 percent is equivalent to increasing the original price by what percent ?", - "Output Program": [ - "n0 = 30.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "69.00000000000001" - ], - "split": "train" - }, - { - "Input": "if an examination 63 % of the candidates in english , 65 % passed in mathematics , and 27 % failed in both subjects . what is the pass percentage ?", - "Output Program": [ - "n0 = 63.0\nn1 = 65.0\nn2 = 27.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = t0 + t1\nt3 = t2 - n2\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "55" - ], - "split": "train" - }, - { - "Input": "a , b and c are entered into a partnership . a invested rs . 6500 for 6 months , b invested rs . 8400 for 5 months and c invested for rs . 10000 for 3 months . a is a working partner and gets 5 % of the total profit for the same . find the share of c in a total profit of rs . 7400 ?", - "Output Program": [ - "n0 = 6500.0\nn1 = 6.0\nn2 = 8400.0\nn3 = 5.0\nn4 = 10000.0\nn5 = 3.0\nn6 = 5.0\nn7 = 7400.0\nt0 = n4 * n5\nt1 = n3 * n7\nt2 = n0 * n1\nt3 = n2 * n3\nt4 = t2 + t3\nt5 = t1 / 100.0\nt6 = t4 + t0\nt7 = n7 - t5\nt8 = t0 * t7\nanswer = t8 / t6\nprint(answer)" - ], - "Output Answer": [ - "1900" - ], - "split": "train" - }, - { - "Input": "if the sample interest on a sum of money 20 % per annum for 2 years is $ 400 , find the compound interest on the same sum for the same period at the same rate ?", - "Output Program": [ - "n0 = 20.0\nn1 = 2.0\nn2 = 400.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nt2 = t0 / t1\nt3 = n0 * t2\nt4 = t3 / 100.0\nt5 = t2 + t4\nt6 = n0 * t5\nt7 = t6 / 100.0\nt8 = t5 + t7\nanswer = t8 - t2\nprint(answer)" - ], - "Output Answer": [ - "440" - ], - "split": "train" - }, - { - "Input": "after decreasing 24 % in the price of an article costs rs . 820 . find the actual cost of an article ?", - "Output Program": [ - "n0 = 24.0\nn1 = 820.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "1078.9473684210527" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sells 20 % of his stock at 10 % profit ans sells the remaining at a loss of 5 % . he incurred an overall loss of rs . 250 . find the total worth of the stock ?", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nn2 = 5.0\nn3 = 250.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 / 100.0\nt3 = 100.0 - n0\nt4 = t3 / 100.0\nt5 = t1 * t2\nt6 = t0 * t4\nt7 = t6 - t5\nanswer = n3 / t7\nprint(answer)" - ], - "Output Answer": [ - "12499.999999999998" - ], - "split": "train" - }, - { - "Input": "a circle graph shows how the megatech corporation allocates its research and development budget : 14 % microphotonics ; 24 % home electronics ; 15 % food additives ; 19 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics . if the arc of each sector of the graph is proportional to the percentage of the budget it represents , how many degrees of the circle are used to represent basic astrophysics research ?", - "Output Program": [ - "n0 = 14.0\nn1 = 24.0\nn2 = 15.0\nn3 = 19.0\nn4 = 8.0\nt0 = n0 + n1\nt1 = 3600.0 / 10.0\nt2 = n2 + t0\nt3 = n3 + t2\nt4 = n4 + t3\nt5 = 100.0 - t4\nt6 = t1 * t5\nanswer = t6 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "72" - ], - "split": "train" - }, - { - "Input": "there were two candidates in an election . winner candidate received 55 % of votes and won the election by 100 votes . find the number of votes casted to the winning candidate ?", - "Output Program": [ - "n0 = 55.0\nn1 = 100.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nt3 = n1 / t2\nt4 = n0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "550" - ], - "split": "train" - }, - { - "Input": "an escalator moves towards the top level at the rate of 12 ft . sec and its length is 160 feet . if a person walks on the moving escalator at the rate of 8 feet per second towards the top level , how much time does he take to cover the entire length .", - "Output Program": [ - "n0 = 12.0\nn1 = 160.0\nn2 = 8.0\nt0 = n0 + n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "if difference between compound interest and simple interest on a sum at 10 % p . a . for 2 years is rs . 41 then sum is", - "Output Program": [ - "n0 = 10.0\nn1 = 2.0\nn2 = 41.0\nt0 = n0 / 100.0\nt1 = t0 * t0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "4099.999999999999" - ], - "split": "train" - }, - { - "Input": "in the manufacture of a certain product , 8 percent of the units produced are defective and 4 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?", - "Output Program": [ - "n0 = 8.0\nn1 = 4.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "0.32" - ], - "split": "train" - }, - { - "Input": "the salary of a worker is first increased by 20 % and afterwards reduced by 20 % . what is the net change in the worker ' s salary ?", - "Output Program": [ - "n0 = 20.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = n0 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "a sum was put at simple interest at certain rate for 3 years . had it been put at 1 % higher rate it would have fetched rs . 78 more . the sum is : a . rs . 2,400 b . rs . 2,100 c . rs . 2,200 d . rs . 2,480", - "Output Program": [ - "n0 = 3.0\nn1 = 1.0\nn2 = 78.0\nn3 = 2400.0\nn4 = 2100.0\nn5 = 2200.0\nn6 = 2480.0\nt0 = n2 / n0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2600" - ], - "split": "train" - }, - { - "Input": "a man two flats for $ 675958 each . on one he gains 14 % while on the other he loses 14 % . how much does he gain or lose in the whole transaction ?", - "Output Program": [ - "n0 = 675958.0\nn1 = 14.0\nn2 = 14.0\nt0 = n1 + 100.0\nt1 = n0 + n0\nt2 = 100.0 - n1\nt3 = 100.0 / t0\nt4 = 100.0 / t2\nt5 = n0 * t3\nt6 = n0 * t4\nt7 = t5 + t6\nt8 = t7 - t1\nt9 = t8 / t7\nanswer = t9 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "1.9599999999999975" - ], - "split": "train" - }, - { - "Input": "a store \u2019 s selling price of $ 2500 for a certain computer would yield a profit of 40 percent of the store \u2019 s cost for the computer . what selling price would yield a profit of 50 percent of the computer \u2019 s cost ?", - "Output Program": [ - "n0 = 2500.0\nn1 = 40.0\nn2 = 50.0\nt0 = n2 + 100.0\nt1 = n1 + 100.0\nt2 = t0 / t1\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "2678.5714285714284" - ], - "split": "train" - }, - { - "Input": "the price of a book is increased from $ 300 to $ 360 . what is the % of increase in its price ?", - "Output Program": [ - "n0 = 300.0\nn1 = 360.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "the simple interest on rs . 26 for 6 months at the rate of 7 paise per rupeeper month is", - "Output Program": [ - "n0 = 26.0\nn1 = 6.0\nn2 = 7.0\nt0 = n0 * n1\nt1 = n2 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "10.92" - ], - "split": "train" - }, - { - "Input": "a certain tax rate is $ 82 per $ 100.00 . what is the rate , expressed as a percent ?", - "Output Program": [ - "n0 = 82.0\nn1 = 100.0\nt0 = n0 / n1\nanswer = t0 * n1\nprint(answer)" - ], - "Output Answer": [ - "82" - ], - "split": "train" - }, - { - "Input": "the manager of a produce market purchased a quantity of tomatoes for $ 0.80 per pound . due to improper handling , 15 percent of the tomatoes , by weight , were ruined and discarded . at what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 8 percent of the cost of the tomatoes .", - "Output Program": [ - "n0 = 0.8\nn1 = 15.0\nn2 = 8.0\nt0 = n2 / 100.0\nt1 = 100.0 - n1\nt2 = t0 + 1.0\nt3 = t1 / 100.0\nt4 = n0 / t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "1.0164705882352942" - ], - "split": "train" - }, - { - "Input": "a merchant sells an item at a 10 % discount , but still makes a gross profit of 20 percent of the cost . what percent of the cost would the gross profit on the item have been if it had been sold without the discount ?", - "Output Program": [ - "n0 = 10.0\nn1 = 20.0\nt0 = 100.0 - n0\nt1 = t0 - n1\nanswer = 100.0 - t1\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "in one alloy there is 15 % chromium while in another alloy it is 8 % . 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy . find the percentage of chromium in the new alloy .", - "Output Program": [ - "n0 = 15.0\nn1 = 8.0\nn2 = 15.0\nn3 = 35.0\nt0 = n2 + n3\nt1 = n0 * n2\nt2 = n1 * n3\nt3 = t1 / 100.0\nt4 = t2 / 100.0\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10.1" - ], - "split": "train" - }, - { - "Input": "a store reduced the price of all items in the store by 8 % on the first day and by another 10 % on the second day . the price of items on the second day was what percent of the price before the first reduction took place ?", - "Output Program": [ - "n0 = 8.0\nn1 = 10.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 * t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "82.80000000000001" - ], - "split": "train" - }, - { - "Input": "in 1998 the profits of company n were 10 percent of revenues . in 1999 , the revenues of company n fell by 30 percent , but profits were 10 percent of revenues . the profits in 1999 were what percent of the profits in 1998 ?", - "Output Program": [ - "n0 = 1998.0\nn1 = 10.0\nn2 = 1999.0\nn3 = 30.0\nn4 = 10.0\nn5 = 1999.0\nn6 = 1998.0\nt0 = n4 / 100.0\nt1 = n3 / 100.0\nt2 = n1 / 100.0\nt3 = 1.0 - t1\nt4 = t0 * t3\nt5 = t4 / t2\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "69.99999999999999" - ], - "split": "train" - }, - { - "Input": "a candidate who gets 40 % of the marks fails by 40 marks . but another candidate who gets 60 % marks gets 20 marks more than necessary for passing . find the number of marks for passing ?", - "Output Program": [ - "n0 = 40.0\nn1 = 40.0\nn2 = 60.0\nn3 = 20.0\nt0 = n1 + n3\nt1 = n2 / 100.0\nt2 = n0 / 100.0\nt3 = t1 - t2\nt4 = t0 / t3\nt5 = t4 * t2\nanswer = n1 + t5\nprint(answer)" - ], - "Output Answer": [ - "160.00000000000003" - ], - "split": "train" - }, - { - "Input": "jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume , respectively . if these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid , approximately how many liters of the 12 percent solution will be required ?", - "Output Program": [ - "n0 = 2.0\nn1 = 12.0\nn2 = 60.0\nn3 = 5.0\nn4 = 12.0\nt0 = n2 / 10.0\nanswer = t0 * 3.0\nprint(answer)" - ], - "Output Answer": [ - "18" - ], - "split": "train" - }, - { - "Input": "by selling an article at rs . 800 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 20 % ?", - "Output Program": [ - "n0 = 800.0\nn1 = 25.0\nn2 = 20.0\nt0 = n1 + 100.0\nt1 = n0 * 100.0\nt2 = t1 / t0\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "512" - ], - "split": "train" - }, - { - "Input": "john makes $ 30 a week from his job . he earns a raise and now makes $ 40 a week . what is the % increase ?", - "Output Program": [ - "n0 = 30.0\nn1 = 40.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "train" - }, - { - "Input": "a particular library has 150 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 65 percent of books that were loaned out are returned and there are 122 books in the special collection at that time , how many books of the special collection were loaned out during that month ?", - "Output Program": [ - "n0 = 150.0\nn1 = 65.0\nn2 = 122.0\nt0 = n1 / 100.0\nt1 = n0 - n2\nt2 = 1.0 - t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "in a recent election , geoff received 0.5 percent of the 6000 votes cast . to win the election , a candidate needed to receive more than x % of the vote . if geoff needed exactly 3000 more votes to win the election , what is the value of x ?", - "Output Program": [ - "n0 = 0.5\nn1 = 6000.0\nn2 = 3000.0\nt0 = 100.0 / 2.0\nanswer = n0 + t0\nprint(answer)" - ], - "Output Answer": [ - "50.5" - ], - "split": "train" - }, - { - "Input": "if difference between compound interest and simple interest on a sum at 10 % p . a . for 2 years is rs . 36 then sum is", - "Output Program": [ - "n0 = 10.0\nn1 = 2.0\nn2 = 36.0\nt0 = n0 / 100.0\nt1 = t0 * t0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "3599.999999999999" - ], - "split": "train" - }, - { - "Input": "a retailer purchases shirts from a wholesaler and then sells the shirts in her store at a retail price that is 70 percent greater than the wholesale price . if the retailer decreases the retail price by 30 percent this will have the same effect as increasing the wholesale price by what percent ?", - "Output Program": [ - "n0 = 70.0\nn1 = 30.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "18.999999999999993" - ], - "split": "train" - }, - { - "Input": "machine p and machine q are each used to manufacture 220 sprockets . it takes machine p 10 hours longer to produce 220 sprockets than machine q . machine q produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machine a produce ?", - "Output Program": [ - "n0 = 220.0\nn1 = 10.0\nn2 = 220.0\nn3 = 10.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n0 / t1\nt3 = n0 - t2\nanswer = t3 / n1\nprint(answer)" - ], - "Output Answer": [ - "2.0000000000000027" - ], - "split": "train" - }, - { - "Input": "a certain manufacturer increased its gross profit on a product from 10 percent of the cost of the product to 15 percent of the cost by changing the selling price . if the new selling price was $ 92.00 and the cost of the product remained the same , what was the old selling price ?", - "Output Program": [ - "n0 = 10.0\nn1 = 15.0\nn2 = 92.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = t0 / t1\nanswer = n2 * t2\nprint(answer)" - ], - "Output Answer": [ - "88" - ], - "split": "train" - }, - { - "Input": "in a certain city , 60 percent of the registered voters are democrats and the rest are republicans . in a mayoral race , if 65 percent of the registered voters who are democrats and 20 percent of the registered voters who are republicans are expected to vote for candidate a , what percent of the registered voters are expected to vote for candidate a ?", - "Output Program": [ - "n0 = 60.0\nn1 = 65.0\nn2 = 20.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = 100.0 - n0\nt3 = n0 * t0\nt4 = t1 * t2\nanswer = t3 + t4\nprint(answer)" - ], - "Output Answer": [ - "47" - ], - "split": "train" - }, - { - "Input": "a retailer bought a machine at a wholesale price of $ 90 and later on sold it after a 10 % discount of the retail price . if the retailer made a profit equivalent to 20 % of the whole price , what is the retail price t of the machine ?", - "Output Program": [ - "n0 = 90.0\nn1 = 10.0\nn2 = 20.0\nt0 = n0 * n2\nt1 = 3.0 * 3.0\nt2 = t0 / 100.0\nt3 = n1 * t1\nt4 = n0 + t2\nt5 = t4 * 100.0\nanswer = t5 / t3\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "in a certain company , a third of the workers do not have a retirement plan . 20 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 128 of the workers of that company are men , how many of the workers are women ?", - "Output Program": [ - "n0 = 20.0\nn1 = 40.0\nn2 = 128.0\nt0 = 1.0 / 3.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 * t1\nt4 = 1.0 - t0\nt5 = t2 * t4\nt6 = t0 - t3\nt7 = t5 + t6\nt8 = t4 - t5\nt9 = t3 + t8\nt10 = n2 / t7\nanswer = t9 * t10\nprint(answer)" - ], - "Output Answer": [ - "111.99999999999997" - ], - "split": "train" - }, - { - "Input": "a small company reduced its faculty by approximately 13 percent to 195 employees . what was the original number of employees ?", - "Output Program": [ - "n0 = 13.0\nn1 = 195.0\nt0 = 100.0 - n0\nt1 = t0 / 100.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "224.13793103448276" - ], - "split": "train" - }, - { - "Input": "50 % of a number is more than 20 % of 650 by 190 . find the number ?", - "Output Program": [ - "n0 = 50.0\nn1 = 20.0\nn2 = 650.0\nn3 = 190.0\nt0 = n1 * n2\nt1 = t0 / 100.0\nt2 = n3 + t1\nt3 = t2 * 100.0\nanswer = t3 / n0\nprint(answer)" - ], - "Output Answer": [ - "640" - ], - "split": "train" - }, - { - "Input": "a sum was put a simple interest at a certain rate for 2 years . had it been put at 4 % higher rate , it would have fetched rs . 60 more . the sum is :", - "Output Program": [ - "n0 = 2.0\nn1 = 4.0\nn2 = 60.0\nt0 = n2 / n0\nt1 = t0 / n1\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "750" - ], - "split": "train" - }, - { - "Input": "how long will a boy take to run round a square field of side 50 meters , if he runs at the rate of 10 km / hr ?", - "Output Program": [ - "n0 = 50.0\nn1 = 10.0\nt0 = 1000.0 / 3600.0\nt1 = n0 * 4.0\nt2 = n1 * t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "72" - ], - "split": "train" - }, - { - "Input": "on a certain road , 40 % of the motorists exceed the posted speed limit and receive speeding tickets , but 20 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on that road exceed the posted speed limit ?", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nt0 = 100.0 - n1\nt1 = n0 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "if the compound interest on a certain sum of money for 6 years at 10 % per annum be rs . 993 , what would be the simple interest ?", - "Output Program": [ - "n0 = 6.0\nn1 = 10.0\nn2 = 993.0\nt0 = 3.0 * 100.0\nt1 = n1 * t0\nt2 = n1 * t1\nt3 = n0 * t2\nanswer = t3 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1800" - ], - "split": "train" - }, - { - "Input": "a sum of money amounts to rs . 9800 after 5 years and rs . 12015 after 8 years at the same rate of simple interest . the rate of interest per annum is ?", - "Output Program": [ - "n0 = 9800.0\nn1 = 5.0\nn2 = 12015.0\nn3 = 8.0\nt0 = n0 * n3\nt1 = n1 * n2\nt2 = n2 - n0\nt3 = t0 - t1\nt4 = t2 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12.087312414733969" - ], - "split": "train" - }, - { - "Input": "on a saturday night , each of the rooms at a certain motel was rented for either $ 40 or $ 60 . if 10 of the rooms that were rented for $ 60 had instead been rented for $ 40 , then the total rent the motel charged for that night would have been reduced by 10 percent . what was the total rent the motel actually charged for that night ?", - "Output Program": [ - "n0 = 40.0\nn1 = 60.0\nn2 = 10.0\nn3 = 60.0\nn4 = 40.0\nn5 = 10.0\nt0 = n5 / 100.0\nt1 = n1 - n0\nt2 = n2 * t1\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "2000" - ], - "split": "train" - }, - { - "Input": "there is 60 lit of milk and water in which milk forms 84 % . howmuch water must be added to this solution to make it solution in which milk forms 50 %", - "Output Program": [ - "n0 = 60.0\nn1 = 84.0\nn2 = 50.0\nt0 = 100.0 / n2\nt1 = n0 * n1\nt2 = t1 / 100.0\nt3 = t0 * t2\nanswer = t3 - n0\nprint(answer)" - ], - "Output Answer": [ - "40.8" - ], - "split": "train" - }, - { - "Input": "jill invests $ 10000 in an account that pays an annual rate of 3.96 % , compounding semi - annually . approximately how much q does she have in her account after two years ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 3.96\nt0 = n1 / 100.0\nt1 = t0 / 2.0\nt2 = t1 + 1.0\nt3 = t2**min(4.0, 5)\nanswer = n0 * t3\nprint(answer)" - ], - "Output Answer": [ - "10815.834432633617" - ], - "split": "train" - }, - { - "Input": "machine p and machine q are each used to manufacture 440 sprockets . it takes machine p 10 hours longer to produce 440 sprockets than machine q . machine q produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machine a produce ?", - "Output Program": [ - "n0 = 440.0\nn1 = 10.0\nn2 = 440.0\nn3 = 10.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n0 / t1\nt3 = n0 - t2\nanswer = t3 / n1\nprint(answer)" - ], - "Output Answer": [ - "4.000000000000005" - ], - "split": "train" - }, - { - "Input": "a retailer buys 100 pens at the market price of 36 pens from a wholesaler , if he sells these pens giving a discount of 1 % , what is the profit % ?", - "Output Program": [ - "n0 = 100.0\nn1 = 36.0\nn2 = 1.0\nt0 = n2 / 100.0\nt1 = n1 / n0\nt2 = n2 - t0\nt3 = t2 - t1\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "175" - ], - "split": "train" - }, - { - "Input": "john makes $ 40 a week from his job . he earns a raise and now makes $ 60 a week . what is the % increase ?", - "Output Program": [ - "n0 = 40.0\nn1 = 60.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "on a saturday night , each of the rooms at a certain motel was rented for either $ 50 or $ 60 . if 10 of the rooms that were rented for $ 60 had instead been rented for $ 50 , then the total rent the motel charged for that night would have been reduced by 25 percent . what was the total rent the motel actually charged for that night ?", - "Output Program": [ - "n0 = 50.0\nn1 = 60.0\nn2 = 10.0\nn3 = 60.0\nn4 = 50.0\nn5 = 25.0\nt0 = n5 / 100.0\nt1 = n1 - n0\nt2 = n2 * t1\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "if price of t . v set is reduced by 10 % , then its sale increases by 85 % , find net effect on sale value", - "Output Program": [ - "n0 = 10.0\nn1 = 85.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t1 / 100.0\nt3 = t0 / 100.0\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "66.5" - ], - "split": "train" - }, - { - "Input": "a retailer buys a radio for rs 225 . his overhead expenses are rs 20 . he sellis the radio for rs 300 . the profit percent of the retailer is", - "Output Program": [ - "n0 = 225.0\nn1 = 20.0\nn2 = 300.0\nt0 = n0 + n1\nt1 = n2 / t0\nt2 = t1 * 100.0\nanswer = t2 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "22.448979591836732" - ], - "split": "train" - }, - { - "Input": "a man is walking at the rate of 10 km / hr crosses a bridge in 15 minutes . the length of the bridge is", - "Output Program": [ - "n0 = 10.0\nn1 = 15.0\nt0 = n1 / 60.0\nt1 = n0 * t0\nanswer = t1 * 1000.0\nprint(answer)" - ], - "Output Answer": [ - "2500" - ], - "split": "train" - }, - { - "Input": "i bought two books ; for rs . 420 . i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price . find the cost of the book sold at a loss ?", - "Output Program": [ - "n0 = 420.0\nn1 = 15.0\nn2 = 19.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = t0 + t1\nt3 = n0 * t0\nanswer = t3 / t2\nprint(answer)" - ], - "Output Answer": [ - "245" - ], - "split": "train" - }, - { - "Input": "thirty percent of the women in a college class are science majors , and the non - science majors make up 60 % of the class . what percentage of the men are science majors if 40 % of the class are men ?", - "Output Program": [ - "n0 = 60.0\nn1 = 40.0\nt0 = 10.0 * 3.0\nt1 = 100.0 - n0\nt2 = 100.0 - n1\nt3 = t0 / 100.0\nt4 = t3 * t2\nt5 = t1 - t4\nt6 = t5 / n1\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "55.00000000000001" - ], - "split": "train" - }, - { - "Input": "an escalator moves towards the top level at the rate of 10 ft . sec and its length is 112 feet . if a person walks on the moving escalator at the rate of 4 feet per second towards the top level , how much time does he take to cover the entire length .", - "Output Program": [ - "n0 = 10.0\nn1 = 112.0\nn2 = 4.0\nt0 = n0 + n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "a bookseller sells his books at a 10 % markup in price . if he sells a book for $ 11.00 , how much did he pay for it ?", - "Output Program": [ - "n0 = 10.0\nn1 = 11.0\nt0 = n0 / 100.0\nt1 = n1 * t0\nanswer = n1 - t1\nprint(answer)" - ], - "Output Answer": [ - "9.9" - ], - "split": "train" - }, - { - "Input": "at what rate percent on simple interest will rs . 750 amount to rs . 1050 in 5 years ?", - "Output Program": [ - "n0 = 750.0\nn1 = 1050.0\nn2 = 5.0\nt0 = n1 - n0\nt1 = t0 / n0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "jill invests $ 10000 in an account that pays an annual rate of 3.96 % , compounding semi - annually . approximately how much r does she have in her account after two years ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 3.96\nt0 = n1 / 100.0\nt1 = t0 / 2.0\nt2 = t1 + 1.0\nt3 = t2**min(4.0, 5)\nanswer = n0 * t3\nprint(answer)" - ], - "Output Answer": [ - "10815.834432633617" - ], - "split": "train" - }, - { - "Input": "i bought two books ; for rs . 360 . i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price . find the cost of the book sold at a loss ?", - "Output Program": [ - "n0 = 360.0\nn1 = 15.0\nn2 = 19.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = t0 + t1\nt3 = n0 * t0\nanswer = t3 / t2\nprint(answer)" - ], - "Output Answer": [ - "210" - ], - "split": "train" - }, - { - "Input": "increasing the original price of an article by 6 percent and then increasing the new price by 6 percent is equivalent to increasing the original price by", - "Output Program": [ - "n0 = 6.0\nn1 = 6.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1 * t1\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12.360000000000015" - ], - "split": "train" - }, - { - "Input": "a person buys an article at $ 200 . at what price should he sell the article so as to make a profit of 10 % ?", - "Output Program": [ - "n0 = 200.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "220" - ], - "split": "train" - }, - { - "Input": "how many ounces of a 60 % salt solution must be added to 60 ounces of a 20 percent salt solution so that the resulting mixture is 40 % salt ?", - "Output Program": [ - "n0 = 60.0\nn1 = 60.0\nn2 = 20.0\nn3 = 40.0\nt0 = n3 / 100.0\nt1 = n2 / 100.0\nt2 = n1 * t0\nt3 = n1 * t1\nt4 = t0 - t1\nt5 = t2 - t3\nanswer = t5 / t4\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "in a college , 50 % of total 400 arts students are locals . 25 % of students from 100 science students are locals and 85 % of total 120 commerce students are locals . what is the total percentage of locals from arts , science and commerce .", - "Output Program": [ - "n0 = 50.0\nn1 = 400.0\nn2 = 25.0\nn3 = 100.0\nn4 = 85.0\nn5 = 120.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n4 / 100.0\nt3 = n1 * t0\nt4 = n3 * t1\nt5 = n5 * t2\nt6 = t3 + t4\nanswer = t6 + t5\nprint(answer)" - ], - "Output Answer": [ - "327" - ], - "split": "train" - }, - { - "Input": "one fourth of one third of two fifth of a number is 17 . what will be 40 % of that number", - "Output Program": [ - "n0 = 17.0\nn1 = 40.0\nt0 = 2.0 + 3.0\nt1 = 1.0 / 4.0\nt2 = 1.0 / 3.0\nt3 = 2.0 / t0\nt4 = t1 * t2\nt5 = t3 * t4\nt6 = n0 / t5\nt7 = n1 * t6\nanswer = t7 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "204" - ], - "split": "train" - }, - { - "Input": "the simple interest on a certain sum of money for 3 years at 8 % per annum is half the compound interest on $ 4000 for 2 years at 10 % per annum . the sum placed on simple interest is ?", - "Output Program": [ - "n0 = 3.0\nn1 = 8.0\nn2 = 4000.0\nn3 = 2.0\nn4 = 10.0\nt0 = n4 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = n0 * t1\nt4 = t2**min(2.0, 5)\nt5 = n2 * t4\nt6 = t5 - n2\nt7 = t6 / n3\nanswer = t7 / t3\nprint(answer)" - ], - "Output Answer": [ - "1750.000000000002" - ], - "split": "train" - }, - { - "Input": "a company has two types of machines , type r and type s . operating at a constant rate a machine of r does a certain job in 36 hours and a machine of type s does the job in 9 hours . if the company used the same number of each type of machine to do job in 12 hours , how many machine r were used ?", - "Output Program": [ - "n0 = 36.0\nn1 = 9.0\nn2 = 12.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = 2.0 * t2\nanswer = 1.0 / t3\nprint(answer)" - ], - "Output Answer": [ - "3.5999999999999996" - ], - "split": "train" - }, - { - "Input": "indu gave bindu rs . 1250 on compound interest for 2 years at 8 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?", - "Output Program": [ - "n0 = 1250.0\nn1 = 2.0\nn2 = 8.0\nn3 = 2.0\nn4 = 4.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = n0 * t0\nt3 = n1 * t2\nt4 = t1**min(n1, 5)\nt5 = n0 * t4\nt6 = t5 - n0\nanswer = t6 - t3\nprint(answer)" - ], - "Output Answer": [ - "8.000000000000227" - ], - "split": "train" - }, - { - "Input": "running at the same constant rate , 6 identical machines can produce a total of 270 bottles per minute . at this rate , how many bottles could 12 such machines produce in 4 minutes ?", - "Output Program": [ - "n0 = 6.0\nn1 = 270.0\nn2 = 12.0\nn3 = 4.0\nt0 = n1 / n0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "2160" - ], - "split": "train" - }, - { - "Input": "two friends plan to walk along a 22 - km trail , starting at opposite ends of the trail at the same time . if friend p ' s rate is 20 % faster than friend q ' s , how many kilometers will friend p have walked when they pass each other ?", - "Output Program": [ - "n0 = 22.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t1 + 1.0\nt3 = n0 / t2\nanswer = t1 * t3\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "train" - }, - { - "Input": "there are 50 students in a class . if 10 % are absent on a particular day , find the number of students present in the class .", - "Output Program": [ - "n0 = 50.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nanswer = t1 * n0\nprint(answer)" - ], - "Output Answer": [ - "45" - ], - "split": "train" - }, - { - "Input": "the income of a man increase consistently by 2 % per year . if his present income is rs . 12000 then what will his income be after 1 year ?", - "Output Program": [ - "n0 = 2.0\nn1 = 12000.0\nn2 = 1.0\nt0 = n0 / 100.0\nt1 = n1 * t0\nanswer = n1 + t1\nprint(answer)" - ], - "Output Answer": [ - "12240" - ], - "split": "train" - }, - { - "Input": "65 % of the employees of a company are men . 60 % of the men in the company speak french and 40 % of the employees of the company speak french . what is % of the women in the company who do not speak french ?", - "Output Program": [ - "n0 = 65.0\nn1 = 60.0\nn2 = 40.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = 100.0 - n0\nt4 = t3 / 100.0\nt5 = t1 * t2\nt6 = t0 - t5\nt7 = t4 - t6\nt8 = t7 / t4\nanswer = t8 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "97.14285714285714" - ], - "split": "train" - }, - { - "Input": "the compound interest earned by sunil on a certain amount at the end of two years at the rate of 8 % p . a . was rs . 2828.80 . find the total amount that sunil got back at the end of two years in the form of principal plus interest earned", - "Output Program": [ - "n0 = 8.0\nn1 = 2828.8\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nt3 = t2 - 1.0\nt4 = n1 / t3\nanswer = n1 + t4\nprint(answer)" - ], - "Output Answer": [ - "19828.79999999999" - ], - "split": "train" - }, - { - "Input": "a person lent a certain sum of money at 4 % per annum at simple interest and in 8 years the interest amounted to rs . 340 less than the sum lent . what was the sum lent ?", - "Output Program": [ - "n0 = 4.0\nn1 = 8.0\nn2 = 340.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "500.00000000000006" - ], - "split": "train" - }, - { - "Input": "sandy buys an old scooter for $ 800 and spends $ 200 on its repairs . if sandy sells the scooter for $ 1400 , what is the gain percent ?", - "Output Program": [ - "n0 = 800.0\nn1 = 200.0\nn2 = 1400.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "mary works in a restaurant a maximum of 80 hours . for the first 20 hours , she is paid $ 8 per hour . for each overtime hour , she is paid at a rate which is 25 % higher than her regular rate . how much mary can earn in a week ?", - "Output Program": [ - "n0 = 80.0\nn1 = 20.0\nn2 = 8.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n2\nt2 = n0 - n1\nt3 = n2 * t0\nt4 = t3 * t2\nanswer = t1 + t4\nprint(answer)" - ], - "Output Answer": [ - "760" - ], - "split": "train" - }, - { - "Input": "a group of students was interviewed for that if it was asked whether or not they speak french and / or english . among those who speak french , 10 speak english well , while 40 of them do not speak english . if 75 % of students do not speak french , how many students were surveyed ?", - "Output Program": [ - "n0 = 10.0\nn1 = 40.0\nn2 = 75.0\nt0 = n0 + n1\nt1 = 100.0 - n2\nt2 = t1 / 100.0\nanswer = t0 / t2\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "33 1 / 3 % of 360 ?", - "Output Program": [ - "n0 = 33.0\nn1 = 1.0\nn2 = 3.0\nn3 = 360.0\nt0 = n1 / n2\nt1 = n0 + t0\nt2 = n3 * t1\nanswer = t2 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "machine p and machine q are each used to manufacture 550 sprockets . it takes machine p 10 hours longer to produce 550 sprockets than machine q . machine q produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machine a produce ?", - "Output Program": [ - "n0 = 550.0\nn1 = 10.0\nn2 = 550.0\nn3 = 10.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n0 / t1\nt3 = n0 - t2\nanswer = t3 / n1\nprint(answer)" - ], - "Output Answer": [ - "5.000000000000005" - ], - "split": "train" - }, - { - "Input": "a retailer buys a radio for rs 225 . his overhead expenses are rs 15 . he sellis the radio for rs 350 . the profit percent of the retailer is", - "Output Program": [ - "n0 = 225.0\nn1 = 15.0\nn2 = 350.0\nt0 = n0 + n1\nt1 = n2 / t0\nt2 = t1 * 100.0\nanswer = t2 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "45.833333333333314" - ], - "split": "train" - }, - { - "Input": "i sold a book at a profit of 10 % . had i sold it for $ 100 more , 15 % would have been gained . find the cost price ?", - "Output Program": [ - "n0 = 10.0\nn1 = 100.0\nn2 = 15.0\nt0 = n0 * n1\nt1 = n2 - n0\nt2 = t0 / t1\nt3 = t2 * 100.0\nanswer = t3 / n0\nprint(answer)" - ], - "Output Answer": [ - "2000" - ], - "split": "train" - }, - { - "Input": "an inspector rejects 0.08 % of the meters as defective . how many will he examine to reject 2 ?", - "Output Program": [ - "n0 = 0.08\nn1 = 2.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "2500" - ], - "split": "train" - }, - { - "Input": "in how many years will a sum of money doubles itself at 25 % per annum on simple interest ?", - "Output Program": [ - "n0 = 25.0\n\nanswer = 100.0 / n0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "difference of two numbers is 1670 . if 7.5 % of the number is 12.5 % of the other number , find the number ?", - "Output Program": [ - "n0 = 1670.0\nn1 = 7.5\nn2 = 12.5\nt0 = n1 / n2\nt1 = 1.0 - t0\nt2 = n0 / t1\nanswer = t0 * t2\nprint(answer)" - ], - "Output Answer": [ - "2505" - ], - "split": "train" - }, - { - "Input": "shanmukham buys good worth rs . 6650 . he gets a rebate of 6 % on it . after getting the rebate , he pays sales tax @ 10 % . find the amount he will have to pay for the goods", - "Output Program": [ - "n0 = 6650.0\nn1 = 6.0\nn2 = 10.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = t2 * 10.0\nt4 = t3 / 100.0\nanswer = t4 + t2\nprint(answer)" - ], - "Output Answer": [ - "6876.1" - ], - "split": "train" - }, - { - "Input": "krishan and nandan jointly started a business . krishan invested 4 times as nandan did and invested his money for trible time as compared to nandan . if the gain is proportional to the money invested and the time for which the money is invested and the total gain was rs . 26000 , find the nandan ' s earning .", - "Output Program": [ - "n0 = 4.0\nn1 = 26000.0\nt0 = 3.0 * 4.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "2000" - ], - "split": "train" - }, - { - "Input": "indu gave bindu rs . 5000 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 2.0\nn2 = 4.0\nn3 = 2.0\nn4 = 4.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = n0 * t0\nt3 = n1 * t2\nt4 = t1**min(n1, 5)\nt5 = n0 * t4\nt6 = t5 - n0\nanswer = t6 - t3\nprint(answer)" - ], - "Output Answer": [ - "8.00000000000091" - ], - "split": "train" - }, - { - "Input": "a man walking at a rate of 10 km / hr crosses a bridge in 3 minutes . the length of the bridge is ?", - "Output Program": [ - "n0 = 10.0\nn1 = 3.0\nt0 = n0 * 1000.0\nt1 = t0 / 60.0\nanswer = n1 * t1\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "train" - }, - { - "Input": "the banker ' s gain on a sum due 6 years hence at 12 % per annum is rs . 540 . what is the banker ' s discount ?", - "Output Program": [ - "n0 = 6.0\nn1 = 12.0\nn2 = 540.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nt2 = t0 / t1\nanswer = n2 + t2\nprint(answer)" - ], - "Output Answer": [ - "1290" - ], - "split": "train" - }, - { - "Input": "what percent is 3 % of 5 % ?", - "Output Program": [ - "n0 = 3.0\nn1 = 5.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "18 litres of mixture contains 20 % alcohol and the rest water . if 3 litres of water be mixed with it , the percentage of alcohol in the new mixture would be ?", - "Output Program": [ - "n0 = 18.0\nn1 = 20.0\nn2 = 3.0\nt0 = n0 + n2\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nt3 = n0 * t2\nt4 = n2 + t3\nt5 = t0 - t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "17.14285714285715" - ], - "split": "train" - }, - { - "Input": "at what price must an article costing rs . 95 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 25 % on the cost price ?", - "Output Program": [ - "n0 = 95.0\nn1 = 5.0\nn2 = 25.0\nt0 = n0 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 + t2\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "125" - ], - "split": "train" - }, - { - "Input": "a man buys a cycle for rs . 1200 and sells it at a loss of 10 % . what is the selling price of the cycle ?", - "Output Program": [ - "n0 = 1200.0\nn1 = 10.0\nt0 = 100.0 - n1\nt1 = n0 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1080" - ], - "split": "train" - }, - { - "Input": "in a certain pond , 80 fish were caught , tagged , and returned to the pond . a few days later , 80 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what ` s the approximate number of fish in the pond ?", - "Output Program": [ - "n0 = 80.0\nn1 = 80.0\nn2 = 2.0\nt0 = n2 / n1\nanswer = n0 / t0\nprint(answer)" - ], - "Output Answer": [ - "3200" - ], - "split": "train" - }, - { - "Input": "the cost price of an article is 25 % of the marked price . calculate the gain percent after allowing a discount of 50 % .", - "Output Program": [ - "n0 = 25.0\nn1 = 50.0\nt0 = 100.0 - n1\nt1 = t0 / n0\nt2 = t1 - 1.0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "the regular price per can of a certain brand of soda is $ 0.55 . if the regular price per can is discounted 25 percent when the soda is purchased in 24 - can cases , what is the price of 70 cans of this brand of soda purchased in 24 - can cases ?", - "Output Program": [ - "n0 = 0.55\nn1 = 25.0\nn2 = 24.0\nn3 = 70.0\nn4 = 24.0\nt0 = n0 * n3\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nanswer = t2 * t0\nprint(answer)" - ], - "Output Answer": [ - "28.875" - ], - "split": "train" - }, - { - "Input": "after decreasing 24 % in the price of an article costs rs . 1064 . find the actual cost of an article ?", - "Output Program": [ - "n0 = 24.0\nn1 = 1064.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "1400" - ], - "split": "train" - }, - { - "Input": "rs . 2500 is divided into two parts such that if one part be put out at 5 % simple interest and the other at 6 % , the yearly annual income may be rs . 140 . how much was lent at 5 % ?", - "Output Program": [ - "n0 = 2500.0\nn1 = 5.0\nn2 = 6.0\nn3 = 140.0\nn4 = 5.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n0 * n2\nt3 = t2 / 100.0\nt4 = t0 - t1\nt5 = n3 - t3\nanswer = t5 / t4\nprint(answer)" - ], - "Output Answer": [ - "1000.0000000000005" - ], - "split": "train" - }, - { - "Input": "a cycle is bought for rs . 600 and sold for rs . 1080 , find the gain percent ?", - "Output Program": [ - "n0 = 600.0\nn1 = 1080.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the run rate in the remaining 20 overs to reach the target of 282 runs ?", - "Output Program": [ - "n0 = 10.0\nn1 = 3.2\nn2 = 20.0\nn3 = 282.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "12.5" - ], - "split": "train" - }, - { - "Input": "john makes $ 60 a week from his job . he earns a raise and now makes $ 110 a week . what is the % increase ?", - "Output Program": [ - "n0 = 60.0\nn1 = 110.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "83.33333333333334" - ], - "split": "train" - }, - { - "Input": "the value of a machine depreciates at 20 % per annum . if its present value is rs . 1 , 50,000 , at what price should it be sold after two years such that a profit of rs . 22,000 is made ?", - "Output Program": [ - "import math\nn0 = 20.0\nn1 = 1.0\nn2 = 50000.0\nn3 = 22000.0\nt0 = n0 + 2.0\nt1 = n0 / 100.0\nt2 = 100.0 * 100.0\nt3 = math.sqrt(max(0, 100.0))\nt4 = t3 / 2.0\nt5 = t2 * t3\nt6 = t0 * 100.0\nt7 = 1.0 - t1\nt8 = t4 * 100.0\nt9 = t7 * t7\nt10 = t6 * t3\nt11 = t8 * 100.0\nt12 = t5 + t11\nt13 = t12 * t9\nanswer = t13 + t10\nprint(answer)" - ], - "Output Answer": [ - "118000.00000000001" - ], - "split": "train" - }, - { - "Input": "a cycle is bought for rs . 900 and sold for rs . 1180 , find the gain percent ?", - "Output Program": [ - "n0 = 900.0\nn1 = 1180.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "31.11111111111111" - ], - "split": "train" - }, - { - "Input": "what percent is 70 of 280 ?", - "Output Program": [ - "n0 = 70.0\nn1 = 280.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "from the beginning to the end of 2007 , the price of a stock rose 20 percent . in 2008 , it dropped 25 percent . in 2009 , it rose 30 percent . what percent of the stock \u00e2 \u20ac \u2122 s 2007 starting price was the price of the stock at the end of 2009 ?", - "Output Program": [ - "n0 = 2007.0\nn1 = 20.0\nn2 = 2008.0\nn3 = 25.0\nn4 = 2009.0\nn5 = 30.0\nn6 = 2007.0\nn7 = 2009.0\nt0 = n5 + 100.0\nt1 = n1 + 100.0\nt2 = 100.0 - n3\nt3 = t0 / 100.0\nt4 = t2 / 100.0\nt5 = t1 / 100.0\nt6 = t5 * 100.0\nt7 = t4 * t6\nanswer = t3 * t7\nprint(answer)" - ], - "Output Answer": [ - "117" - ], - "split": "train" - }, - { - "Input": "what will be the difference between simple and compound interest @ 20 % per annum on a sum of $ 500 after 2 years ?", - "Output Program": [ - "n0 = 20.0\nn1 = 500.0\nn2 = 2.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = n1 * t0\nt3 = n2 * t2\nt4 = t1**min(n2, 5)\nt5 = n1 * t4\nt6 = t5 - n1\nanswer = t6 - t3\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "in a restaurant , the profit is 110 % of the cost . if the cost increases by 12 % but the selling price remains constant , approximately what percentage of the selling price is the profit ?", - "Output Program": [ - "n0 = 110.0\nn1 = 12.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t1 + 1.0\nt3 = t0 * 100.0\nt4 = t3 + 100.0\nt5 = t2 * 100.0\nt6 = t4 - t5\nt7 = t6 / t4\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "46.666666666666664" - ], - "split": "train" - }, - { - "Input": "walking 6 / 5 of his usual rate , a boy reaches his school 4 min early . find his usual time to reach the school ?", - "Output Program": [ - "n0 = 6.0\nn1 = 5.0\nn2 = 4.0\n\nanswer = n0 * n2\nprint(answer)" - ], - "Output Answer": [ - "24" - ], - "split": "train" - }, - { - "Input": "one night 19 percent of the female officers on a police force were on duty . if 152 police officers were on duty that night and half of these were female officers , how many female officers were on the police force ?", - "Output Program": [ - "n0 = 19.0\nn1 = 152.0\nt0 = n1 / 2.0\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "a grocer has 400 pounds of coffee in stock , 20 percent of which is decaffeinated . if the grocer buys another 100 pounds of coffee of which 50 percent is decaffeinated , what percent , by weight , of the grocer \u2019 s stock of coffee is decaffeinated ?", - "Output Program": [ - "n0 = 400.0\nn1 = 20.0\nn2 = 100.0\nn3 = 50.0\nt0 = n0 + n2\nt1 = n1 / n2\nt2 = n3 / n2\nt3 = n0 * t1\nt4 = n2 * t2\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * n2\nprint(answer)" - ], - "Output Answer": [ - "26" - ], - "split": "train" - }, - { - "Input": "a candidate got 35 % of the votes and lost to the rival by 2100 votes . how many votes were cast ?", - "Output Program": [ - "n0 = 35.0\nn1 = 2100.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "6999.999999999999" - ], - "split": "train" - }, - { - "Input": "a reduction of 5 % in the price of oil enables a house wife to obtain 10 kgs more for rs . 5000 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 5.0\nn1 = 10.0\nn2 = 5000.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "what percent is 20 % of 25 % ?", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "a and b began business with rs . 6000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 630 find the share of a .", - "Output Program": [ - "n0 = 6000.0\nn1 = 4000.0\nn2 = 8.0\nn3 = 1000.0\nn4 = 1000.0\nn5 = 630.0\nt0 = n1 + n3\nt1 = n0 * n2\nt2 = n1 * n2\nt3 = n0 - n3\nt4 = 12.0 - n2\nt5 = t3 * t4\nt6 = t0 * t4\nt7 = t1 + t5\nt8 = t2 + t6\nt9 = t7 + t8\nt10 = n5 / t9\nanswer = t7 * t10\nprint(answer)" - ], - "Output Answer": [ - "357" - ], - "split": "train" - }, - { - "Input": "the length of a rectangular floor is more than its breadth by 200 % . if rs . 529 is required to paint the floor at the rate of rs . 3 / sq m , what would be the length of the floor ?", - "Output Program": [ - "import math\nn0 = 200.0\nn1 = 529.0\nn2 = 3.0\nt0 = n1 / n2\nt1 = t0 / 3.0\nt2 = math.sqrt(max(0, t1))\nanswer = t2 * 3.0\nprint(answer)" - ], - "Output Answer": [ - "23" - ], - "split": "train" - }, - { - "Input": "solution p is 20 percent lemonade and 80 percent carbonated water by volume ; solution q is 45 percent lemonade and 55 percent carbonated water by volume . if a mixture of pq contains 72 % percent carbonated water , what percent of the volume of the mixture is p ?", - "Output Program": [ - "n0 = 20.0\nn1 = 80.0\nn2 = 45.0\nn3 = 55.0\nn4 = 72.0\nt0 = n4 / 100.0\nt1 = n3 / 100.0\nt2 = n1 / 100.0\nt3 = t0 - t1\nt4 = t2 - t0\nt5 = t3 + t4\nt6 = t3 / t5\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "67.99999999999997" - ], - "split": "train" - }, - { - "Input": "a , b and c started a business with capitals of rs . 8000 , rs . 10000 and rs . 12000 respectively . at the end of the year , the profit share of b is rs . 3000 . the difference between the profit shares of a and c is ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 10000.0\nn2 = 12000.0\nn3 = 3000.0\nt0 = n2 / n1\nt1 = n0 / n1\nt2 = t0 - t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "1199.9999999999998" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 390 after successive discount is 14 % and 15 % is ?", - "Output Program": [ - "n0 = 390.0\nn1 = 14.0\nn2 = 15.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "285.09" - ], - "split": "train" - }, - { - "Input": "the sale price shirts listed for rs . 1000 after successive discount is 15 % and 2 % is ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 15.0\nn2 = 2.0\nt0 = n0 * n1\nt1 = n0 * n2\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 + t3\nanswer = n0 - t4\nprint(answer)" - ], - "Output Answer": [ - "830" - ], - "split": "train" - }, - { - "Input": "exactly 5 % of the reporters for a certain wire service cover local politics in country x . if 30 % of the reporters who cover politics for the wire service do not cover local politics in country x , what percent of the reporters for the wire service do not cover politics ?", - "Output Program": [ - "n0 = 5.0\nn1 = 30.0\nt0 = 100.0 - n1\nt1 = n0 / t0\nt2 = 1.0 - t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "92.85714285714286" - ], - "split": "train" - }, - { - "Input": "kanul spent $ 35000 in buying raw materials , $ 40000 in buying machinery and 20 % of the total amount he had as cash with him . what was the total amount ?", - "Output Program": [ - "n0 = 35000.0\nn1 = 40000.0\nn2 = 20.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = 1.0 - t1\nanswer = t0 / t2\nprint(answer)" - ], - "Output Answer": [ - "93750" - ], - "split": "train" - }, - { - "Input": "what profit percent is made by selling an article at a certain price , if by selling at 2 / 3 rd of that price , there would be a loss of 5 % ?", - "Output Program": [ - "n0 = 2.0\nn1 = 3.0\nn2 = 5.0\nt0 = n0 / n1\nt1 = 100.0 - n2\nt2 = t1 / t0\nanswer = t2 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "42.5" - ], - "split": "train" - }, - { - "Input": "the income of a broker remains unchanged though the rate of commission is increased from 4 % to 5 % . the percentage of slump in business is :", - "Output Program": [ - "n0 = 4.0\nn1 = 5.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 / t1\nt3 = 1.0 - t2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20.000000000000007" - ], - "split": "train" - }, - { - "Input": "a dress on sale in a shop is marked at $ d . during the discount sale its price is reduced by 15 % . staff are allowed a further 10 % reduction on the discounted price . if a staff member buys the dress what will she have to pay in terms of d ?", - "Output Program": [ - "n0 = 15.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = 100.0 - n0\nt2 = t1 / 100.0\nt3 = t2 * t0\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "0.765" - ], - "split": "train" - }, - { - "Input": "sandy had $ 210 left after spending 30 % of the money she took for shopping . how much money did sandy take along with her ?", - "Output Program": [ - "n0 = 210.0\nn1 = 30.0\nt0 = 100.0 - n1\nt1 = t0 / 100.0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "300" - ], - "split": "train" - }, - { - "Input": "an inspector rejects 10 % of the meters as defective . how many will he examine to reject 15 ?", - "Output Program": [ - "n0 = 10.0\nn1 = 15.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 400 after successive discount is 25 % and 20 % is ?", - "Output Program": [ - "n0 = 400.0\nn1 = 25.0\nn2 = 20.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "240" - ], - "split": "train" - }, - { - "Input": "a invested $ 400 in a business after 6 months b invested $ 200 in the business . end of the year if they got $ 100 as profit . find a shares ?", - "Output Program": [ - "n0 = 400.0\nn1 = 6.0\nn2 = 200.0\nn3 = 100.0\nt0 = n2 / 2.0\nt1 = n0 + t0\nt2 = t0 / t1\nt3 = 1.0 - t2\nanswer = n3 * t3\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "a sum of rs . 2691 is lent into two parts so that the interest on the first part for 8 years at 3 % per annum may be equal to the interest on the second part for 3 years at 5 % per annum . find the second sum ?", - "Output Program": [ - "n0 = 2691.0\nn1 = 8.0\nn2 = 3.0\nn3 = 3.0\nn4 = 5.0\nt0 = n2 * n4\nt1 = n1 * n2\nt2 = t0 + t1\nt3 = n0 * t0\nt4 = t3 / t2\nanswer = n0 - t4\nprint(answer)" - ], - "Output Answer": [ - "1656" - ], - "split": "train" - }, - { - "Input": "a present value of a machine is $ 128000 . its value depletiation rate is 25 % per annum then find the machine value after 3 years ?", - "Output Program": [ - "n0 = 128000.0\nn1 = 25.0\nn2 = 3.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "54000" - ], - "split": "train" - }, - { - "Input": "there are 100 students in a class . if 14 % are absent on a particular day , find the number of students present in the class .", - "Output Program": [ - "n0 = 100.0\nn1 = 14.0\nt0 = n1 / n0\nt1 = 1.0 - t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "86" - ], - "split": "train" - }, - { - "Input": "if leo gains 10 pounds , he will weigh 50 % more than his sister kendra . currently their combined weight is 140 pounds . what is leo ' s current weight ?", - "Output Program": [ - "n0 = 10.0\nn1 = 50.0\nn2 = 140.0\nt0 = n1 + 100.0\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nt3 = n2 * t1\nt4 = t3 - n0\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "in order to obtain an income of rs . 15000 from 80 % stock at rs . 200 , one must make an investment of", - "Output Program": [ - "n0 = 15000.0\nn1 = 80.0\nn2 = 200.0\nt0 = n2 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "37500" - ], - "split": "train" - }, - { - "Input": "the weight of a glass of jar is 20 % of the weight of the jar filled with coffee beans . after some of the beans have been removed , the weight of the jar and the remaining beans is 60 % of the original total weight . what fraction part of the beans remain in the jar ?", - "Output Program": [ - "n0 = 20.0\nn1 = 60.0\nt0 = n1 - n0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.5" - ], - "split": "train" - }, - { - "Input": "a sum of money becomes 7 / 6 of itself in 5 years at a certain rate of simple interest . the rate per annum is ?", - "Output Program": [ - "n0 = 7.0\nn1 = 6.0\nn2 = 5.0\nt0 = n0 / n1\nt1 = t0 - 1.0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "3.333333333333335" - ], - "split": "train" - }, - { - "Input": "at what rate percent on simple interest will rs . 600 amount to rs . 950 in 5 years ?", - "Output Program": [ - "n0 = 600.0\nn1 = 950.0\nn2 = 5.0\nt0 = n1 - n0\nt1 = t0 / n0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "11.666666666666666" - ], - "split": "train" - }, - { - "Input": "i bought two books ; for rs . 450 . i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price . find the cost of the book sold at a loss ?", - "Output Program": [ - "n0 = 450.0\nn1 = 15.0\nn2 = 19.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = t0 + t1\nt3 = n0 * t0\nanswer = t3 / t2\nprint(answer)" - ], - "Output Answer": [ - "262.5" - ], - "split": "train" - }, - { - "Input": "in 1998 the profits of company n were 10 percent of revenues . in 1999 , the revenues of company n fell by 30 percent , but profits were 14 percent of revenues . the profits in 1999 were what percent of the profits in 1998 ?", - "Output Program": [ - "n0 = 1998.0\nn1 = 10.0\nn2 = 1999.0\nn3 = 30.0\nn4 = 14.0\nn5 = 1999.0\nn6 = 1998.0\nt0 = n4 / 100.0\nt1 = n3 / 100.0\nt2 = n1 / 100.0\nt3 = 1.0 - t1\nt4 = t0 * t3\nt5 = t4 / t2\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "98" - ], - "split": "train" - }, - { - "Input": "150 is what percent of 60 ?", - "Output Program": [ - "n0 = 150.0\nn1 = 60.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "250" - ], - "split": "train" - }, - { - "Input": "a side of beef lost 35 percent of its weight in processing . if the side of beef weighed 570 pounds after processing , how many pounds did it weigh before processing ?", - "Output Program": [ - "n0 = 35.0\nn1 = 570.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "876.9230769230769" - ], - "split": "train" - }, - { - "Input": "the population of a town increases 10 % and 20 % respectively in two consecutive years . after the growth the present population of the town is 1320 . then what is the population of the town 2 years ago ?", - "Output Program": [ - "n0 = 10.0\nn1 = 20.0\nn2 = 1320.0\nn3 = 2.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "train" - }, - { - "Input": "there were two candidates in an election . winner candidate received 62 % of votes and won the election by 408 votes . find the number of votes casted to the winning candidate ?", - "Output Program": [ - "n0 = 62.0\nn1 = 408.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nt3 = n1 / t2\nt4 = n0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1054" - ], - "split": "train" - }, - { - "Input": "a sum of $ 1000 amounts to $ 1500 in 5 years at simple interest . if the interest rate is increased by 5 % it would amount to how much ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 1500.0\nn2 = 5.0\nn3 = 5.0\nt0 = n1 - n0\nt1 = t0 / n2\nt2 = t1 * 100.0\nt3 = t2 / n0\nt4 = n2 + t3\nt5 = t4 / 100.0\nt6 = n0 * t5\nt7 = n2 * t6\nanswer = n0 + t7\nprint(answer)" - ], - "Output Answer": [ - "1750" - ], - "split": "train" - }, - { - "Input": "a , b and c enter into a partnership by investing $ 7000 , $ 11000 and $ 18000 respectively . at the end of 8 months , b receives $ 2200 as his share . find the share of a .", - "Output Program": [ - "n0 = 7000.0\nn1 = 11000.0\nn2 = 18000.0\nn3 = 8.0\nn4 = 2200.0\nt0 = n1 * n3\nt1 = t0 / 100.0\nt2 = n4 / t1\nt3 = n0 * t2\nt4 = n3 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1400" - ], - "split": "train" - }, - { - "Input": "if 40 % of a certain number is 160 , then what is 10 % of that number ?", - "Output Program": [ - "n0 = 40.0\nn1 = 160.0\nn2 = 10.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 / t0\nanswer = t2 * t1\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "a man took loan from a bank at the rate of 12 % p . a . s . i . after 20 years he had to pay rs . 2100 interest only for the period . the principal amount borrowed by him was ?", - "Output Program": [ - "n0 = 12.0\nn1 = 20.0\nn2 = 2100.0\nt0 = n2 * 100.0\nt1 = t0 / n1\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "875" - ], - "split": "train" - }, - { - "Input": "what is the difference between 80 % of 170 and 35 % of 300 .", - "Output Program": [ - "n0 = 80.0\nn1 = 170.0\nn2 = 35.0\nn3 = 300.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "31" - ], - "split": "train" - }, - { - "Input": "on increasing the price of t . v . sets by 80 % , their sale decreases by 20 % . what is the effect on the revenue receipts of the shop ?", - "Output Program": [ - "n0 = 80.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t2 + 100.0\nanswer = t0 - t3\nprint(answer)" - ], - "Output Answer": [ - "44" - ], - "split": "train" - }, - { - "Input": "seed mixture x is 40 percent ryegrass and 60 percent bluegrass by weight ; seed mixture y is 25 percent ryegrass and 75 percent fescue . if a mixture of x and y contains 27 percent ryegrass , what percent of the weight of this mixture is x ?", - "Output Program": [ - "n0 = 40.0\nn1 = 60.0\nn2 = 25.0\nn3 = 75.0\nn4 = 27.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n4 - n2\nt3 = t0 - t1\nanswer = t2 / t3\nprint(answer)" - ], - "Output Answer": [ - "13.333333333333332" - ], - "split": "train" - }, - { - "Input": "in how many years rs 200 will produce the same interest at 10 % as rs . 400 produce in 5 years at 12 %", - "Output Program": [ - "n0 = 200.0\nn1 = 10.0\nn2 = 400.0\nn3 = 5.0\nn4 = 12.0\nt0 = n1 / 100.0\nt1 = n2 * n4\nt2 = t1 / 100.0\nt3 = n0 * t0\nt4 = n3 * t2\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "train" - }, - { - "Input": "a watch was sold at a loss of 10 % . if it was sold for rs . 196 more , there would have been a gain of 4 % . what is the cost price ?", - "Output Program": [ - "n0 = 10.0\nn1 = 196.0\nn2 = 4.0\nt0 = 100.0 + n2\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t0 - t2\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "1400" - ], - "split": "train" - }, - { - "Input": "an inspector rejects 0.02 % of the meters as defective . how many will he examine to reject 2 ?", - "Output Program": [ - "n0 = 0.02\nn1 = 2.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "10000" - ], - "split": "train" - }, - { - "Input": "at what rate percent of simple interest will a sum of money double itself in 66 years ?", - "Output Program": [ - "n0 = 66.0\n\nanswer = 100.0 / n0\nprint(answer)" - ], - "Output Answer": [ - "1.5151515151515151" - ], - "split": "train" - }, - { - "Input": "if 16 % of 40 % of a number is 6 , then the number is", - "Output Program": [ - "n0 = 16.0\nn1 = 40.0\nn2 = 6.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 * t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "93.75" - ], - "split": "train" - }, - { - "Input": "if the simple interest on $ 2000 increase by $ 40 , when the time increase by 4 years . find the rate percent per annum .", - "Output Program": [ - "n0 = 2000.0\nn1 = 40.0\nn2 = 4.0\nt0 = n1 / n2\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "0.5" - ], - "split": "train" - }, - { - "Input": "a reduction of 40 % in the price of bananas would enable a man to obtain 65 more for rs . 40 , what is reduced price per dozen ?", - "Output Program": [ - "n0 = 40.0\nn1 = 65.0\nn2 = 40.0\nt0 = n0 / 100.0\nt1 = n0 * t0\nt2 = t1 / n1\nanswer = t2 * 12.0\nprint(answer)" - ], - "Output Answer": [ - "2.953846153846154" - ], - "split": "train" - }, - { - "Input": "solution y is 30 percent liquid x and 70 percent water . if 2 kilograms of water evaporate from 10 kilograms of solution y and 2 kilograms of solution y are added to the remaining 6 kilograms of liquid , what percent of this new solution is liquid x ?", - "Output Program": [ - "n0 = 30.0\nn1 = 70.0\nn2 = 2.0\nn3 = 10.0\nn4 = 2.0\nn5 = 6.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = n3 * t0\nt3 = n2 * t0\nt4 = n2 * t1\nt5 = n3 * t1\nt6 = t2 + t3\nt7 = t5 - n2\nt8 = t4 + t7\nt9 = t6 + t8\nt10 = t6 / t9\nanswer = t10 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "36" - ], - "split": "train" - }, - { - "Input": "two pipes a and b can separately fill a cistern in 60 min and 75 min respectively . there is a third pipe in the bottom of the cistern to empty it . if all the 3 pipes are simultaneously opened , then the cistern is full in 50 min . in how much time , the third pipe alone can empty the cistern ?", - "Output Program": [ - "n0 = 60.0\nn1 = 75.0\nn2 = 3.0\nn3 = 50.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n3\nt3 = t0 + t1\nt4 = t3 - t2\nanswer = 1 / t4\nprint(answer)" - ], - "Output Answer": [ - "100.00000000000001" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 400 after successive discount is 30 % and 20 % is ?", - "Output Program": [ - "n0 = 400.0\nn1 = 30.0\nn2 = 20.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "224" - ], - "split": "train" - }, - { - "Input": "a man can row his boat with the stream at 20 km / h and against the stream in 4 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 20.0\nn1 = 4.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "raman ' s salary was decreased by 50 % and subsequently increased by 50 % . how much percent does he loss", - "Output Program": [ - "n0 = 50.0\nn1 = 50.0\nt0 = n0 + 100.0\nt1 = 100.0 * 100.0\nt2 = 100.0 - n0\nt3 = t0 * t2\nt4 = t1 - t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "a dishonest shopkeeper professes to sell pulses at the cost price , but he uses a false weight of 930 gm . for a kg . his gain is \u2026 % .", - "Output Program": [ - "n0 = 930.0\nt0 = 1.0 + 4.0\nt1 = t0 * 2.0\nt2 = t1 * 100.0\nt3 = n0 / t2\nt4 = 1 / t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "7.526881720430101" - ], - "split": "train" - }, - { - "Input": "if $ 650 is deposited into a savings account at an annual interest rate of 5 % that compounds monthly , what is the value of the investment after 7 years ?", - "Output Program": [ - "n0 = 650.0\nn1 = 5.0\nn2 = 7.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 + t1\nt3 = n1 * t2\nt4 = t3 / 100.0\nt5 = t2 + t4\nt6 = n1 * t5\nt7 = t6 / 100.0\nt8 = t5 + t7\nt9 = n1 * t8\nt10 = t9 / 100.0\nt11 = t8 + t10\nt12 = n1 * t11\nt13 = t12 / 100.0\nt14 = t11 + t13\nt15 = n1 * t14\nt16 = t15 / 100.0\nt17 = t14 + t16\nt18 = n1 * t17\nt19 = t18 / 100.0\nanswer = t17 + t19\nprint(answer)" - ], - "Output Answer": [ - "914.6152747265625" - ], - "split": "train" - }, - { - "Input": "in a certain candy store , 22 % of the customers are caught sampling the candy and are charged a small fine , but 15 % of the customers who sample the candy are not caught . what is the total percent of all customers who sample candy ?", - "Output Program": [ - "n0 = 22.0\nn1 = 15.0\nt0 = 100.0 - n1\nt1 = t0 / 100.0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "25.88235294117647" - ], - "split": "train" - }, - { - "Input": "at a small company , 76 percent of the employees are women , and 60 percent of the employees are married . if 2 / 3 of the men are single , what fraction of the women are married ?", - "Output Program": [ - "n0 = 76.0\nn1 = 60.0\nn2 = 2.0\nn3 = 3.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = n2 / n3\nt3 = 1.0 - t1\nt4 = 1.0 - t2\nt5 = t3 * t4\nt6 = t0 - t5\nanswer = t6 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.6842105263157895" - ], - "split": "train" - }, - { - "Input": "a $ 500 investment and a $ 1,500 investment have a combined yearly return of 13 percent of the total of the two investments . if the $ 500 investment has a yearly return of 7 percent , what percent yearly return does the $ 1,500 investment have ?", - "Output Program": [ - "n0 = 500.0\nn1 = 1500.0\nn2 = 13.0\nn3 = 500.0\nn4 = 7.0\nn5 = 1500.0\nt0 = n2 / 100.0\nt1 = n4 / 100.0\nt2 = n0 * 3.0\nt3 = n0 + t2\nt4 = n0 * t1\nt5 = t3 * t0\nt6 = t5 - t4\nt7 = t6 / t2\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "an article costing rs . 160 is sold at 20 % discount on a mark - up price . what is the selling price after discount ?", - "Output Program": [ - "n0 = 160.0\nn1 = 20.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nanswer = n0 - t1\nprint(answer)" - ], - "Output Answer": [ - "128" - ], - "split": "train" - }, - { - "Input": "indu gave bindu rs . 2500 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?", - "Output Program": [ - "n0 = 2500.0\nn1 = 2.0\nn2 = 4.0\nn3 = 2.0\nn4 = 4.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = n0 * t0\nt3 = n1 * t2\nt4 = t1**min(n1, 5)\nt5 = n0 * t4\nt6 = t5 - n0\nanswer = t6 - t3\nprint(answer)" - ], - "Output Answer": [ - "4.000000000000455" - ], - "split": "train" - }, - { - "Input": "how many pounds of salt at 50 cents / lb must be mixed with 40 lbs of salt that costs 35 cents / lb so that a merchant will get 20 % profit by selling the mixture at 48 cents / lb ?", - "Output Program": [ - "n0 = 50.0\nn1 = 40.0\nn2 = 35.0\nn3 = 20.0\nn4 = 48.0\nt0 = n3 + 100.0\nt1 = n1 * n4\nt2 = n1 * n2\nt3 = t0 / 100.0\nt4 = t3 * t2\nt5 = n0 * t3\nt6 = t1 - t4\nt7 = t5 - n4\nanswer = t6 / t7\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "a sum of money deposited at c . i . amounts to rs . 2442 in 2 years and to rs . 2926 in 3 years . find the rate percent ?", - "Output Program": [ - "n0 = 2442.0\nn1 = 2.0\nn2 = 2926.0\nn3 = 3.0\nt0 = n2 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "19.81981981981982" - ], - "split": "train" - }, - { - "Input": "the manager of a produce market purchased a quantity of tomatoes for $ 0.80 per pound . due to improper handling , 10 percent of the tomatoes , by weight , were ruined and discarded . at what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 10 percent of the cost of the tomatoes .", - "Output Program": [ - "n0 = 0.8\nn1 = 10.0\nn2 = 10.0\nt0 = n2 / 100.0\nt1 = 100.0 - n1\nt2 = t0 + 1.0\nt3 = t1 / 100.0\nt4 = n0 / t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "0.977777777777778" - ], - "split": "train" - }, - { - "Input": "a man is walking at the rate of 8 km / hr crosses a bridge in 15 minutes . the length of the bridge is", - "Output Program": [ - "n0 = 8.0\nn1 = 15.0\nt0 = n1 / 60.0\nt1 = n0 * t0\nanswer = t1 * 1000.0\nprint(answer)" - ], - "Output Answer": [ - "2000" - ], - "split": "train" - }, - { - "Input": "a certain company reported that the revenue on sales increased 15 % from 2000 to 2003 , and increased 30 % from 2000 to 2005 . what was the approximate percent increase in revenue for this store from 2003 to 2005 ?", - "Output Program": [ - "n0 = 15.0\nn1 = 2000.0\nn2 = 2003.0\nn3 = 30.0\nn4 = 2000.0\nn5 = 2005.0\nn6 = 2003.0\nn7 = 2005.0\nt0 = n3 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 - t3\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "13.043478260869579" - ], - "split": "train" - }, - { - "Input": "p and q invested in a business . the profit earned was divided in the ratio 2 : 3 . if p invested rs 40000 , the amount invested by q is", - "Output Program": [ - "n0 = 2.0\nn1 = 3.0\nn2 = 40000.0\nt0 = n2 / n0\nanswer = n1 * t0\nprint(answer)" - ], - "Output Answer": [ - "60000" - ], - "split": "train" - }, - { - "Input": "victor gets 92 % marks in examinations . if these are 184 marks , find the maximum marks .", - "Output Program": [ - "n0 = 92.0\nn1 = 184.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "by selling 8 pencils for a rupee a man loses 60 % . how many for a rupee should he sell in order to gain 60 % ?", - "Output Program": [ - "n0 = 8.0\nn1 = 60.0\nn2 = 60.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = 1.0 / t1\nt3 = t0 * t2\nt4 = 1.0 / t3\nanswer = n0 * t4\nprint(answer)" - ], - "Output Answer": [ - "2" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article for rs 2524.36 . approximately what was his profit percent if the cost price of the article was rs 2400", - "Output Program": [ - "import math\nn0 = 2524.36\nn1 = 2400.0\nt0 = n0 - n1\nt1 = t0 / n1\nt2 = t1 * 100.0\nanswer = math.floor(t2)\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "at a particular graduation party with 300 guests , 70 % of the guests brought gifts , and 40 % of the female guests brought gifts . if 30 males did not bring gifts to the party , how many females did bring gifts ?", - "Output Program": [ - "n0 = 300.0\nn1 = 70.0\nn2 = 40.0\nn3 = 30.0\nt0 = n0 * n1\nt1 = 100.0 - n2\nt2 = t0 / 100.0\nt3 = n0 - t2\nt4 = t3 - n3\nt5 = t4 * 100.0\nt6 = t5 / t1\nt7 = n2 * t6\nanswer = t7 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "what sum of money will produce rs . 70 as simple interest in 3 years at 3 1 / 2 percent ?", - "Output Program": [ - "n0 = 70.0\nn1 = 3.0\nn2 = 3.0\nn3 = 1.0\nn4 = 2.0\nt0 = n3 / n4\nt1 = n2 + t0\nt2 = n1 * t1\nt3 = t2 / 100.0\nanswer = n0 / t3\nprint(answer)" - ], - "Output Answer": [ - "666.6666666666667" - ], - "split": "train" - }, - { - "Input": "the true discount on a bill of rs . 2360 is rs . 360 . what is the banker ' s discount ?", - "Output Program": [ - "n0 = 2360.0\nn1 = 360.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "424.8" - ], - "split": "train" - }, - { - "Input": "15 litres of mixture contains 20 % alcohol and the rest water . if 2 litres of water be mixed with it , the percentage of alcohol in the new mixture would be ?", - "Output Program": [ - "n0 = 15.0\nn1 = 20.0\nn2 = 2.0\nt0 = n0 + n2\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nt3 = n0 * t2\nt4 = n2 + t3\nt5 = t0 - t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "17.647058823529413" - ], - "split": "train" - }, - { - "Input": "3 persons invested rs . 9000 in a joint business . the second person invested rs . 1000 more than the first and the third rs . 1000 more than second . after two years , they gained rs . 1800 . how much third person will get ?", - "Output Program": [ - "n0 = 3.0\nn1 = 9000.0\nn2 = 1000.0\nn3 = 1000.0\nn4 = 1800.0\nt0 = n0 * n2\nt1 = n2 + t0\nt2 = t1 * 100.0\nt3 = t2 / n1\nt4 = n4 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "train" - }, - { - "Input": "a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 600 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 25.0\nn1 = 5.0\nn2 = 600.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "a bowl was filled with 10 ounces of water , and 0.012 ounce of the water evaporated each day during a 50 - day period . what percent of the original amount of water evaporated during this period ?", - "Output Program": [ - "n0 = 10.0\nn1 = 0.012\nn2 = 50.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "if the difference between compound interest ( interest compounded yearly ) and simple interest on a sum for 2 years at 10 % p . a . is rs . 150 then sum is", - "Output Program": [ - "n0 = 2.0\nn1 = 10.0\nn2 = 150.0\nt0 = n1 * n2\nanswer = n1 * t0\nprint(answer)" - ], - "Output Answer": [ - "15000" - ], - "split": "train" - }, - { - "Input": "find the amount on rs . 5000 in 2 years , the rate of interest being 20 % per first year and 25 % for the second year ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 2.0\nn2 = 20.0\nn3 = 25.0\nt0 = n3 + 100.0\nt1 = n2 + 100.0\nt2 = n0 * t1\nt3 = t2 / 100.0\nt4 = t0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "7500" - ], - "split": "train" - }, - { - "Input": "solution x is 30 % chemical a and 70 % chemical b by volume . solution y is 40 % chemical a and 60 % chemical b by volume . if a mixture of x and y is 32 % chemical a , what percent of the mixture is solution x ?", - "Output Program": [ - "n0 = 30.0\nn1 = 70.0\nn2 = 40.0\nn3 = 60.0\nn4 = 32.0\nt0 = n2 - n4\nt1 = n4 - n0\nt2 = t0 / t1\nt3 = t2 + 1.0\nt4 = t2 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "rohan spends 40 % of his salary on food , 20 % on house rent , 10 % on entertainment and 10 % on conveyance . if his savings at the end of a month are rs . 2500 . then his monthly salary is", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nn2 = 10.0\nn3 = 10.0\nn4 = 2500.0\nt0 = 1.0 + 4.0\nanswer = n4 * t0\nprint(answer)" - ], - "Output Answer": [ - "12500" - ], - "split": "train" - }, - { - "Input": "sonika deposited rs . 6000 which amounted to rs . 9200 after 3 years at simple interest . had the interest been 2 % more . she would get how much ?", - "Output Program": [ - "n0 = 6000.0\nn1 = 9200.0\nn2 = 3.0\nn3 = 2.0\nt0 = n3 / 100.0\nt1 = n1 - n0\nt2 = t1 / n2\nt3 = t2 / n0\nt4 = t0 + t3\nt5 = n0 * t4\nt6 = n2 * t5\nanswer = n0 + t6\nprint(answer)" - ], - "Output Answer": [ - "9560" - ], - "split": "train" - }, - { - "Input": "two boys starts from the same place walking at the rate of 4.5 kmph and 5.5 kmph respectively in the same direction . what time will they take to be 9.5 km apart ?", - "Output Program": [ - "n0 = 4.5\nn1 = 5.5\nn2 = 9.5\nt0 = n1 - n0\nanswer = n2 / t0\nprint(answer)" - ], - "Output Answer": [ - "9.5" - ], - "split": "train" - }, - { - "Input": "boy sells a book for rs . 720 he gets a loss of 10 % , to gain 10 % , what should be the sp ?", - "Output Program": [ - "n0 = 720.0\nn1 = 10.0\nn2 = 10.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = 1.0 - t0\nt3 = n0 / t2\nt4 = t3 * t1\nanswer = t3 + t4\nprint(answer)" - ], - "Output Answer": [ - "880" - ], - "split": "train" - }, - { - "Input": "in a recent election , geoff received 1 percent of the 6,000 votes cast . to win the election , a candidate needed to receive more than x % of the vote . if geoff needed exactly 3000 more votes to win the election , what is the value of x ?", - "Output Program": [ - "n0 = 1.0\nn1 = 6000.0\nn2 = 3000.0\nt0 = 100.0 / 2.0\nanswer = n0 + t0\nprint(answer)" - ], - "Output Answer": [ - "51" - ], - "split": "train" - }, - { - "Input": "if 40 % of a certain number is 160 , then what is 20 % of that number ?", - "Output Program": [ - "n0 = 40.0\nn1 = 160.0\nn2 = 20.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 / t0\nanswer = t2 * t1\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "fresh grapes contain 90 % by weight while dried grapes contain 20 % water by weight . what is the weight of dry grapes available from 25 kg of fresh grapes ?", - "Output Program": [ - "n0 = 90.0\nn1 = 20.0\nn2 = 25.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = n2 * t0\nt3 = t2 / 100.0\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "3.125" - ], - "split": "train" - }, - { - "Input": "a baseball card decreased in value 20 % in its first year and 20 % in its second year . what was the total percent decrease of the card ' s value over the two years ?", - "Output Program": [ - "n0 = 20.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = t4 * 100.0\nanswer = 100.0 - t5\nprint(answer)" - ], - "Output Answer": [ - "35.999999999999986" - ], - "split": "train" - }, - { - "Input": "2 is what percent of 50", - "Output Program": [ - "n0 = 2.0\nn1 = 50.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "in a certain village , 20 litres of water are required per household per month . at this rate , if there are 10 households in the village , how long ( in months ) will 2000 litres of water last ?", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nn2 = 2000.0\nt0 = n0 * n1\nanswer = n2 / t0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "120 is what percent of 40 ?", - "Output Program": [ - "n0 = 120.0\nn1 = 40.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "300" - ], - "split": "train" - }, - { - "Input": "what will be the difference between simple interest and compound interest @ 10 % per annum on a sum of rs . 1000 after 4 years ?", - "Output Program": [ - "n0 = 10.0\nn1 = 1000.0\nn2 = 4.0\nt0 = n0 / 100.0\nt1 = n0 * n1\nt2 = t0 + 1.0\nt3 = n2 * t1\nt4 = t3 / 100.0\nt5 = t2**min(4.0, 5)\nt6 = n1 * t5\nt7 = t6 - n1\nanswer = t7 - t4\nprint(answer)" - ], - "Output Answer": [ - "64.10000000000036" - ], - "split": "train" - }, - { - "Input": "in a certain boys camp , 20 % of the total boys are from school a and 30 % of those study science . if there are 21 boys in the camp that are from school a but do not study science then what is the total number of boys in the camp ?", - "Output Program": [ - "n0 = 20.0\nn1 = 30.0\nn2 = 21.0\nt0 = n0 / 100.0\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nt3 = t2 * t0\nanswer = n2 / t3\nprint(answer)" - ], - "Output Answer": [ - "150.00000000000003" - ], - "split": "train" - }, - { - "Input": "a company has two types of machines , type r and type s . operating at a constant rate a machine of r does a certain job in 36 hours and a machine of type s does the job in 12 hours . if the company used the same number of each type of machine to do job in 12 hours , how many machine r were used ?", - "Output Program": [ - "n0 = 36.0\nn1 = 12.0\nn2 = 12.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = 2.0 * t2\nanswer = 1.0 / t3\nprint(answer)" - ], - "Output Answer": [ - "4.5" - ], - "split": "train" - }, - { - "Input": "a money lender lent rs . 800 at 3 % per year and rs . 1400 at 5 % per year . the amount should be returned to him when the total interest comes to rs . 350 . find the number of years .", - "Output Program": [ - "n0 = 800.0\nn1 = 3.0\nn2 = 1400.0\nn3 = 5.0\nn4 = 350.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 + t3\nanswer = n4 / t4\nprint(answer)" - ], - "Output Answer": [ - "3.723404255319149" - ], - "split": "train" - }, - { - "Input": "a student needs 30 % of the marks on a test to pass the test . if the student gets 80 marks and fails the test by 40 marks , find the maximum marks set for the test .", - "Output Program": [ - "n0 = 30.0\nn1 = 80.0\nn2 = 40.0\nt0 = n1 + n2\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "the difference between compound interest and simple interest on a certain amount of money at 5 % per annum for 2 years is 20 . find the sum :", - "Output Program": [ - "n0 = 5.0\nn1 = 2.0\nn2 = 20.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = n1 * t0\nt3 = t2 + 1.0\nt4 = t1**min(n1, 5)\nt5 = t4 - t3\nanswer = n2 / t5\nprint(answer)" - ], - "Output Answer": [ - "8000.000000000171" - ], - "split": "train" - }, - { - "Input": "ajay spends 45 % of his monthly income on household items , 25 % of his monthly income on buying cloths , 7.5 % of his monthly income on medicines and saves the remaining amount which is rs . 9000 . find his monthly income .", - "Output Program": [ - "n0 = 45.0\nn1 = 25.0\nn2 = 7.5\nn3 = 9000.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = 100.0 - t1\nt3 = t2 / 100.0\nanswer = n3 / t3\nprint(answer)" - ], - "Output Answer": [ - "40000" - ], - "split": "train" - }, - { - "Input": "a , b and c enter into partnership . a invests some money at the beginning , b invests double the amount after 6 months , and c invests thrice the amount after 8 months . if the annual gain be rs . 18000 . a ' s share is ?", - "Output Program": [ - "n0 = 6.0\nn1 = 8.0\nn2 = 18000.0\nt0 = 1.0 * 12.0\nt1 = 12.0 - n0\nt2 = 12.0 - n1\nt3 = t1 * 2.0\nt4 = t2 * 3.0\nt5 = t0 + t3\nt6 = t5 + t4\nt7 = n2 / t6\nanswer = t7 * t0\nprint(answer)" - ], - "Output Answer": [ - "6000" - ], - "split": "train" - }, - { - "Input": "a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 500 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 25.0\nn1 = 5.0\nn2 = 500.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "there are two concentric circles with radii 8 and 6 . if the radius of the outer circle is increased by 25 % and the radius of the inner circle decreased by 50 % , by what percent does the area between the circles increase ?", - "Output Program": [ - "n0 = 8.0\nn1 = 6.0\nn2 = 25.0\nn3 = 50.0\nt0 = n2 + 100.0\nt1 = n0**min(2.0, 5)\nt2 = n1**min(2.0, 5)\nt3 = 100.0 - n3\nt4 = t0 / 100.0\nt5 = t3 / 100.0\nt6 = t1 - t2\nt7 = n0 * t4\nt8 = n1 * t5\nt9 = t7**min(2.0, 5)\nt10 = t8**min(2.0, 5)\nt11 = t9 - t10\nt12 = t11 - t6\nt13 = t12 / t6\nanswer = t13 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "225" - ], - "split": "train" - }, - { - "Input": "a , b and c started a business with capitals of rs . 6000 , rs . 8000 , and rs . 10000 respectively . at the end of the year , the profit share of b is rs 1000 . the difference between the profit shares of a and c is", - "Output Program": [ - "n0 = 6000.0\nn1 = 8000.0\nn2 = 10000.0\nn3 = 1000.0\nt0 = n2 - n0\nt1 = t0 / n1\nanswer = n3 * t1\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "train" - }, - { - "Input": "if 80 % of 90 is greater than 70 % of a number by 30 , what is the number ?", - "Output Program": [ - "n0 = 80.0\nn1 = 90.0\nn2 = 70.0\nn3 = 30.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 * t0\nt3 = t2 - n3\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "60.00000000000001" - ], - "split": "train" - }, - { - "Input": "the purchase price of an article is $ 48 . in order to include 25 % of cost for overhead and to provide $ 12 of net profit , the markup should be", - "Output Program": [ - "n0 = 48.0\nn1 = 25.0\nn2 = 12.0\nt0 = n2 / n0\nt1 = t0 * 100.0\nanswer = n1 + t1\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "shopkeeper rise price by 31 % and gives successive discount of 10 % and 15 % . what is overall % gain or loss ?", - "Output Program": [ - "n0 = 31.0\nn1 = 10.0\nn2 = 15.0\nt0 = n0 + 100.0\nt1 = 100.0 - n2\nt2 = 100.0 - n1\nt3 = t1 / 100.0\nt4 = t2 / 100.0\nt5 = t0 * t4\nt6 = t3 * t5\nanswer = t6 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "0.2150000000000034" - ], - "split": "train" - }, - { - "Input": "the banker \u00e2 \u20ac \u2122 s gain on a sum due 3 years hence at 10 % per annum is rs . 120 . the banker \u00e2 \u20ac \u2122 s discount is", - "Output Program": [ - "n0 = 3.0\nn1 = 10.0\nn2 = 120.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nt2 = t0 / t1\nanswer = n2 + t2\nprint(answer)" - ], - "Output Answer": [ - "520" - ], - "split": "train" - }, - { - "Input": "the salary of a person was reduced by 10 % . by what percent should his reduced salary be raised so as to bring it at par with his original salary ?", - "Output Program": [ - "n0 = 10.0\nt0 = n0 / 100.0\nt1 = t0 * 100.0\nt2 = 100.0 - t1\nt3 = t1 / t2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "11.11111111111111" - ], - "split": "train" - }, - { - "Input": "john makes $ 60 a week from his job . he earns a raise andnow makes $ 84 a week . what is the % increase ?", - "Output Program": [ - "n0 = 60.0\nn1 = 84.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "a man sold 18 toys for rs . 18900 , gaining thereby the cost price of 3 toy find the cost price of a toy", - "Output Program": [ - "n0 = 18.0\nn1 = 18900.0\nn2 = 3.0\nt0 = n0 + n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "900" - ], - "split": "train" - }, - { - "Input": "if it is assumed that 62 percent of those who receive a questionnaire by mail will respond and 300 responses are needed , what is the minimum number of questionnaires that should be mailed ?", - "Output Program": [ - "n0 = 62.0\nn1 = 300.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "483.8709677419355" - ], - "split": "train" - }, - { - "Input": "the cost price of an article is 64 % of the marked price . calculate the gain percent after allowing a discount of 12 % .", - "Output Program": [ - "n0 = 64.0\nn1 = 12.0\nt0 = 100.0 - n1\nt1 = t0 / n0\nt2 = t1 - 1.0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "37.5" - ], - "split": "train" - }, - { - "Input": "the profit earned by selling an article for rs . 832 is equal to the loss incurred when the same article is sold for rs . 448 . what should be the sale price for making 30 % profit ?", - "Output Program": [ - "n0 = 832.0\nn1 = 448.0\nn2 = 30.0\nt0 = n2 / 100.0\nt1 = n0 - n1\nt2 = t0 + 1.0\nt3 = t1 / 2.0\nt4 = n0 - t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "832" - ], - "split": "train" - }, - { - "Input": "6 % of customers that enter a store on any given day must not pay tax . if 1000 people shop every day , how many people pay taxes in the store every week", - "Output Program": [ - "n0 = 6.0\nn1 = 1000.0\nt0 = n0 + 1.0\nt1 = n0 / 100.0\nt2 = n1 * t1\nt3 = n1 - t2\nanswer = t0 * t3\nprint(answer)" - ], - "Output Answer": [ - "6580" - ], - "split": "train" - }, - { - "Input": "a man can row downstream at the rate of 32 kmph and upstream at 17 kmph . find the man \u2019 s rate in still water and rate of current ?", - "Output Program": [ - "n0 = 32.0\nn1 = 17.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "7.5" - ], - "split": "train" - }, - { - "Input": "if 15 % of a class averages 100 % on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages 63 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) .", - "Output Program": [ - "n0 = 15.0\nn1 = 100.0\nn2 = 50.0\nn3 = 78.0\nn4 = 63.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n3\nt3 = t1 + t2\nt4 = 100.0 - t0\nt5 = n4 * t4\nt6 = t3 + t5\nanswer = t6 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "76.05" - ], - "split": "train" - }, - { - "Input": "an uneducated retailer marks all his goods at 50 % above the cost price and thinking that he will still make 15 % profit , offers a discount of 15 % on the marked price . what is his actual profit on the sales ?", - "Output Program": [ - "n0 = 50.0\nn1 = 15.0\nn2 = 15.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t2 * t1\nt4 = t2 - t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "27.499999999999993" - ], - "split": "train" - }, - { - "Input": "if a lends rs . 3500 to b at 10 % per annum and b lends the same sum to c at 11.5 % per annum then the gain of b in a period of 3 years is ?", - "Output Program": [ - "n0 = 3500.0\nn1 = 10.0\nn2 = 11.5\nn3 = 3.0\nt0 = n0 * n2\nt1 = n0 * n1\nt2 = t0 * n3\nt3 = n3 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nanswer = t4 - t5\nprint(answer)" - ], - "Output Answer": [ - "157.5" - ], - "split": "train" - }, - { - "Input": "kanul spent $ 3000 in buying raw materials , $ 2000 in buying machinery and 10 % of the total amount he had as cash with him . what was the total amount ?", - "Output Program": [ - "n0 = 3000.0\nn1 = 2000.0\nn2 = 10.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = 1.0 - t1\nanswer = t0 / t2\nprint(answer)" - ], - "Output Answer": [ - "5555.555555555556" - ], - "split": "train" - }, - { - "Input": "in some quantity of ghee , 60 % is pure ghee and 40 % is vanaspati . if 10 kg of pure ghee is added , then the strength of vanaspati ghee becomes 20 % . the original quantity was ?", - "Output Program": [ - "n0 = 60.0\nn1 = 40.0\nn2 = 10.0\nn3 = 20.0\nt0 = n2 * n3\nt1 = n1 - n3\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "a merchant marks goods up by 75 % and then offers a discount on the marked price . the profit that the merchant makes after offering the discount is 22.5 % . what % discount did the merchant offer ?", - "Output Program": [ - "n0 = 75.0\nn1 = 22.5\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t2 - 1.0\nt4 = t3 - t1\nt5 = t4 / t2\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "at what rate percent per annum will a sum of money double in 2 years .", - "Output Program": [ - "n0 = 2.0\n\nanswer = 100.0 / n0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a man buys rs . 48 shares paying 9 % dividend . the man wants to have an interest of 12 % on his money . the market value of each share is :", - "Output Program": [ - "n0 = 48.0\nn1 = 9.0\nn2 = 12.0\nt0 = 100.0 / n2\nt1 = n1 / 100.0\nt2 = n0 * t1\nanswer = t0 * t2\nprint(answer)" - ], - "Output Answer": [ - "36.00000000000001" - ], - "split": "train" - }, - { - "Input": "the present population of a town is 200 . population increase rate is 10 % p . a . find the population of town after 1 years ?", - "Output Program": [ - "n0 = 200.0\nn1 = 10.0\nn2 = 1.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "220" - ], - "split": "train" - }, - { - "Input": "indu gave bindu rs . 3750 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?", - "Output Program": [ - "n0 = 3750.0\nn1 = 2.0\nn2 = 4.0\nn3 = 2.0\nn4 = 4.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = n0 * t0\nt3 = n1 * t2\nt4 = t1**min(n1, 5)\nt5 = n0 * t4\nt6 = t5 - n0\nanswer = t6 - t3\nprint(answer)" - ], - "Output Answer": [ - "6.000000000000455" - ], - "split": "train" - }, - { - "Input": "running at the same constant rate , 6 identical machines can produce a total of 330 bottles per minute . at this rate , how many bottles could 10 such machines produce in 4 minutes ?", - "Output Program": [ - "n0 = 6.0\nn1 = 330.0\nn2 = 10.0\nn3 = 4.0\nt0 = n1 / n0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "2200" - ], - "split": "train" - }, - { - "Input": "find the compound interest on $ 20000 in 2 years at 4 % per annum , the interest being compounded half - yearly ?", - "Output Program": [ - "n0 = 20000.0\nn1 = 2.0\nn2 = 4.0\nt0 = n2 / 100.0\nt1 = t0 / n1\nt2 = t1 + 1.0\nt3 = t2**min(n2, 5)\nt4 = n0 * t3\nanswer = t4 - n0\nprint(answer)" - ], - "Output Answer": [ - "1648.6431999999986" - ], - "split": "train" - }, - { - "Input": "a real estate agent received a 6 % commission on the selling price of a house . if his commission was $ 8880 , what was the selling price of the house ?", - "Output Program": [ - "n0 = 6.0\nn1 = 8880.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "148000" - ], - "split": "train" - }, - { - "Input": "a car is purchased on hire - purchase . the cash price is $ 23 000 and the terms are a deposit of 10 % of the price , then the balance to be paid off over 60 equal monthly instalments . interest is charged at 12 % p . a . what is the monthly instalment ?", - "Output Program": [ - "n0 = 23.0\nn1 = 0.0\nn2 = 10.0\nn3 = 60.0\nn4 = 12.0\nt0 = n2 / 100.0\nt1 = n4 / 100.0\nt2 = n0 * 1000.0\nt3 = t1 / n4\nt4 = 1.0 - t0\nt5 = t2 * t4\nt6 = t5 / n3\nt7 = t3 * t5\nanswer = t6 + t7\nprint(answer)" - ], - "Output Answer": [ - "552" - ], - "split": "train" - }, - { - "Input": "company kw is being sold , and both company a and company b were considering the purchase . the price of company kw is 50 % more than company a has in assets , and this same price is also 100 % more than company b has in assets . if companies a and b were to merge and combine their assets , the price of company kw would be approximately what percent of these combined assets ?", - "Output Program": [ - "n0 = 50.0\nn1 = 100.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nt2 = n1 + t1\nt3 = t0 / t2\nanswer = t3 * n1\nprint(answer)" - ], - "Output Answer": [ - "85.71428571428571" - ], - "split": "train" - }, - { - "Input": "the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 10 . if p invested the money for 10 months , find for how much time did q invest the money ?", - "Output Program": [ - "n0 = 7.0\nn1 = 5.0\nn2 = 7.0\nn3 = 10.0\nn4 = 10.0\nt0 = n0 / n1\nt1 = n3 / n2\nt2 = t0 * t1\nanswer = n4 * t2\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "at a special sale , 6 tickets can be purchased for the price of 3 tickets . if 6 tickets are purchased at the sale , the amount saved will be what percent of the original price of the 6 tickets ?", - "Output Program": [ - "n0 = 6.0\nn1 = 3.0\nn2 = 6.0\nn3 = 6.0\nt0 = n0 * n0\nt1 = n0 * n1\nt2 = t0 - t1\nt3 = t2 * 100.0\nanswer = t3 / t0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "by selling an article at rs . 800 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 15 % ?", - "Output Program": [ - "n0 = 800.0\nn1 = 25.0\nn2 = 15.0\nt0 = n1 + 100.0\nt1 = n0 * 100.0\nt2 = t1 / t0\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "544" - ], - "split": "train" - }, - { - "Input": "vijay sells a cupboard at 12 % below cost price . had he got rs . 1650 more , he would have made a profit of 12 % . what is the cost price of the cupboard ?", - "Output Program": [ - "n0 = 12.0\nn1 = 1650.0\nn2 = 12.0\nt0 = n0 + 100.0\nt1 = 100.0 - n0\nt2 = t0 - t1\nt3 = t2 / 100.0\nanswer = n1 / t3\nprint(answer)" - ], - "Output Answer": [ - "6875" - ], - "split": "train" - }, - { - "Input": "a hostel had provisions for 250 men for 48 days . if 50 men left the hostel , how long will the food last at the same rate ?", - "Output Program": [ - "n0 = 250.0\nn1 = 48.0\nn2 = 50.0\nt0 = n0 * n1\nt1 = n0 - n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "john buys good worth rs . 6650 . he gets a rebate of 6 % on it . after getting the rebate , he pays sales tax @ 10 % . find the amount he will have to pay for the goods .", - "Output Program": [ - "n0 = 6650.0\nn1 = 6.0\nn2 = 10.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 * t1\nt3 = n0 - t2\nt4 = t0 * t3\nanswer = t4 + t3\nprint(answer)" - ], - "Output Answer": [ - "6876.1" - ], - "split": "train" - }, - { - "Input": "a man can row his boat with the stream at 20 km / h and against the stream in 8 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 20.0\nn1 = 8.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "a man buys rs . 60 shares paying 9 % dividend . the man wants to have an interest of 12 % on his money . the market value of each share is :", - "Output Program": [ - "n0 = 60.0\nn1 = 9.0\nn2 = 12.0\nt0 = 100.0 / n2\nt1 = n1 / 100.0\nt2 = n0 * t1\nanswer = t0 * t2\nprint(answer)" - ], - "Output Answer": [ - "45" - ], - "split": "train" - }, - { - "Input": "in an election only two candidates contested . a candidate secured 70 % of the valid votes and won by a majority of 180 votes . find the total number of valid votes ?", - "Output Program": [ - "n0 = 70.0\nn1 = 180.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "450" - ], - "split": "train" - }, - { - "Input": "sam invested rs . 12000 @ 10 % per annum for one year . if the interest is compounded half - yearly , then the amount received by sam at the end of the year will be ?", - "Output Program": [ - "n0 = 12000.0\nn1 = 10.0\nt0 = n1 / 2.0\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nt3 = t2**min(2.0, 5)\nanswer = n0 * t3\nprint(answer)" - ], - "Output Answer": [ - "13230" - ], - "split": "train" - }, - { - "Input": "john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price . if the final price was $ 18 , what was the price before the first discount ?", - "Output Program": [ - "n0 = 25.0\nn1 = 25.0\nn2 = 18.0\nt0 = 100.0 * 100.0\nt1 = 100.0 - n0\nt2 = n2 * t0\nt3 = t1 * 100.0\nt4 = n0 * t1\nt5 = t3 - t4\nanswer = t2 / t5\nprint(answer)" - ], - "Output Answer": [ - "32" - ], - "split": "train" - }, - { - "Input": "rajan and rakesh started a business and invested rs . 20,000 and rs . 25,000 respectively . after 4 months rakesh left and mukesh joined by investing rs . 15,000 . at the end of the year there was a profit of rs . 4,600 . what is the share of rajan ?", - "Output Program": [ - "n0 = 20000.0\nn1 = 25000.0\nn2 = 4.0\nn3 = 15000.0\nn4 = 4600.0\nt0 = 2.0 + 3.0\nt1 = n2 + n2\nt2 = n2 * 3.0\nt3 = 100.0 * 100.0\nt4 = t0 * 4.0\nt5 = t0 * 2.0\nt6 = t0 * 100.0\nt7 = t4 * t5\nt8 = t6 * t5\nt9 = t8 + t3\nt10 = t7 * 100.0\nt11 = t7 * 2.0\nt12 = t10 + t8\nt13 = t10 * t2\nt14 = t9 * t1\nt15 = t8 - t11\nt16 = n2 * t12\nt17 = t13 + t16\nt18 = t17 + t14\nt19 = t13 / t18\nanswer = t19 * t15\nprint(answer)" - ], - "Output Answer": [ - "2400" - ], - "split": "train" - }, - { - "Input": "80 % of a number is added to 20 , the result is the same number . find the number ?", - "Output Program": [ - "n0 = 80.0\nn1 = 20.0\nt0 = n1 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "a dishonest dealer professes to sell goods at the cost price but uses a weight of 780 grams per kg , what is his percent ?", - "Output Program": [ - "n0 = 780.0\nt0 = 2.0 + 3.0\nt1 = 100.0 / n0\nt2 = t0 * 2.0\nt3 = t2 * 100.0\nt4 = t1 * t3\nanswer = t4 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "28.205128205128204" - ], - "split": "train" - }, - { - "Input": "john makes $ 60 a week from his job . he earns a raise andnow makes $ 70 a week . what is the % increase ?", - "Output Program": [ - "n0 = 60.0\nn1 = 70.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "16.666666666666664" - ], - "split": "train" - }, - { - "Input": "ramu bought an old car for rs . 42000 . he spent rs . 8000 on repairs and sold it for rs . 64900 . what is his profit percent ?", - "Output Program": [ - "n0 = 42000.0\nn1 = 8000.0\nn2 = 64900.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "29.799999999999997" - ], - "split": "train" - }, - { - "Input": "machine p and machine q are each used to manufacture 990 sprockets . it takes machine p 10 hours longer to produce 990 sprockets than machine q . machine q produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machine a produce ?", - "Output Program": [ - "n0 = 990.0\nn1 = 10.0\nn2 = 990.0\nn3 = 10.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n0 / t1\nt3 = n0 - t2\nanswer = t3 / n1\nprint(answer)" - ], - "Output Answer": [ - "9.00000000000001" - ], - "split": "train" - }, - { - "Input": "what will be the difference between simple and compound interest @ 10 % per annum on the sum of rs 1000 after 4 years", - "Output Program": [ - "n0 = 10.0\nn1 = 1000.0\nn2 = 4.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = n1 * t0\nt3 = n2 * t2\nt4 = t1**min(n2, 5)\nt5 = n1 * t4\nt6 = t5 - n1\nanswer = t6 - t3\nprint(answer)" - ], - "Output Answer": [ - "64.10000000000036" - ], - "split": "train" - }, - { - "Input": "if $ 5,000 is invested in an account that earns 10 % interest compounded semi - annually , then the interest earned after one year would be how much greater than if the $ 5,000 had been invested at 8 % simple yearly interest ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 10.0\nn2 = 5000.0\nn3 = 8.0\n\nanswer = n1 * 1.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "33 1 / 3 % of 390 ?", - "Output Program": [ - "n0 = 33.0\nn1 = 1.0\nn2 = 3.0\nn3 = 390.0\nt0 = n1 / n2\nt1 = n0 + t0\nt2 = n3 * t1\nanswer = t2 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "130.00000000000003" - ], - "split": "train" - }, - { - "Input": "a fellow borrowed a certain sum of money at 3 % per annum at simple interest and in 3 years the interest amounted to rs . 1820 less than the sum lent . what was the sum lent ?", - "Output Program": [ - "n0 = 3.0\nn1 = 3.0\nn2 = 1820.0\nt0 = n0 * n0\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "2000" - ], - "split": "train" - }, - { - "Input": "a sum amounts to rs . 3969 in 2 years at the rate of 5 % p . a . if interest was compounded yearly then what was the principal ?", - "Output Program": [ - "n0 = 3969.0\nn1 = 2.0\nn2 = 5.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "3600" - ], - "split": "train" - }, - { - "Input": "a polling company surveyed a certain country , and it found that 35 % of that country \u2019 s registered voters had an unfavorable impression of both of that state \u2019 s major political parties and that 20 % had a favorable impression only of party r . if one registered voter has a favorable impression of both parties for every two registered voters who have a favorable impression only of party b , then what percentage of the country \u2019 s registered voters have a favorable impression of both parties ( assuming that respondents to the poll were given a choice between favorable and unfavorable impressions only ) ?", - "Output Program": [ - "n0 = 35.0\nn1 = 20.0\nt0 = n0 + n1\nt1 = 100.0 - t0\nanswer = t1 / 3.0\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "by selling an article for $ 110 , a person gains $ 10 . what is the gain % ?", - "Output Program": [ - "n0 = 110.0\nn1 = 10.0\nt0 = n1 * 100.0\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "a sum of money at simple interest amount to rs 720 after 2 years and to rs 1020 after a further period of 5 years . the sum is :", - "Output Program": [ - "n0 = 720.0\nn1 = 2.0\nn2 = 1020.0\nn3 = 5.0\nt0 = n2 - n0\nt1 = n1 * t0\nt2 = t1 / n3\nanswer = n0 - t2\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "a sum was put at simple interest at a certain rate for 10 years . had it been put at 5 % higher rate , it would have fetched rs . 100 more . what was the sum ?", - "Output Program": [ - "n0 = 10.0\nn1 = 5.0\nn2 = 100.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "4 mat - weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 10 mat - weavers in 10 days ?", - "Output Program": [ - "n0 = 4.0\nn1 = 4.0\nn2 = 4.0\nn3 = 10.0\nn4 = 10.0\nt0 = n3 / n0\nt1 = n0 * t0\nanswer = t0 * t1\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "in 1998 the profits of company n were 10 percent of revenues . in 1999 , the revenues of company n fell by 20 percent , but profits were 14 percent of revenues . the profits in 1999 were what percent of the profits in 1998 ?", - "Output Program": [ - "n0 = 1998.0\nn1 = 10.0\nn2 = 1999.0\nn3 = 20.0\nn4 = 14.0\nn5 = 1999.0\nn6 = 1998.0\nt0 = n4 / 100.0\nt1 = n3 / 100.0\nt2 = n1 / 100.0\nt3 = 1.0 - t1\nt4 = t0 * t3\nt5 = t4 / t2\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "112.00000000000001" - ], - "split": "train" - }, - { - "Input": "an uneducated retailer marks all his goods at 65 % above the cost price and thinking that he will still make 25 % profit , offers a discount of 25 % on the marked price . what is his actual profit on the sales ?", - "Output Program": [ - "n0 = 65.0\nn1 = 25.0\nn2 = 25.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t2 * t1\nt4 = t2 - t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "23.749999999999982" - ], - "split": "train" - }, - { - "Input": "a statue is being carved by a sculptor . the original piece of marble weighed 300 kg . in the first week 30 percent is cut away . in the second week 30 percent of the remainder is cut away . in the third week the statue is completed when 15 percent of the remainder is cut away . what is the weight of the final statue ?", - "Output Program": [ - "n0 = 300.0\nn1 = 30.0\nn2 = 30.0\nn3 = 15.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = 1.0 - t0\nt4 = 1.0 - t1\nt5 = 1.0 - t2\nt6 = n0 * t3\nt7 = t6 * t4\nanswer = t7 * t5\nprint(answer)" - ], - "Output Answer": [ - "124.95" - ], - "split": "train" - }, - { - "Input": "a $ 500 investment and a $ 1,500 investment have a combined yearly return of 10 percent of the total of the two investments . if the $ 500 investment has a yearly return of 7 percent , what percent yearly return does the $ 1,500 investment have ?", - "Output Program": [ - "n0 = 500.0\nn1 = 1500.0\nn2 = 10.0\nn3 = 500.0\nn4 = 7.0\nn5 = 1500.0\nt0 = n2 / 100.0\nt1 = n4 / 100.0\nt2 = n0 * 3.0\nt3 = n0 + t2\nt4 = n0 * t1\nt5 = t3 * t0\nt6 = t5 - t4\nt7 = t6 / t2\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "11" - ], - "split": "train" - }, - { - "Input": "a baseball card decreased in value 60 % in its first year and 10 % in its second year . what was the total percent decrease of the card ' s value over the two years ?", - "Output Program": [ - "n0 = 60.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = t4 * 100.0\nanswer = 100.0 - t5\nprint(answer)" - ], - "Output Answer": [ - "63.99999999999999" - ], - "split": "train" - }, - { - "Input": "indu gave bindu rs . 3125 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?", - "Output Program": [ - "n0 = 3125.0\nn1 = 2.0\nn2 = 4.0\nn3 = 2.0\nn4 = 4.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = n0 * t0\nt3 = n1 * t2\nt4 = t1**min(n1, 5)\nt5 = n0 * t4\nt6 = t5 - n0\nanswer = t6 - t3\nprint(answer)" - ], - "Output Answer": [ - "5.000000000000455" - ], - "split": "train" - }, - { - "Input": "a person lent a certain sum of money at 4 % per annum at simple interest and in 8 years the interest amounted to rs . 238 less than the sum lent . what was the sum lent ?", - "Output Program": [ - "n0 = 4.0\nn1 = 8.0\nn2 = 238.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "350.00000000000006" - ], - "split": "train" - }, - { - "Input": "in the first 5 overs of a cricket game , the run rate was only 2.1 . what should be the rate in the remaining 30 overs to reach the target of 200 runs ?", - "Output Program": [ - "n0 = 5.0\nn1 = 2.1\nn2 = 30.0\nn3 = 200.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "6.316666666666666" - ], - "split": "train" - }, - { - "Input": "what will be the compound interest on a sum of rs . 40,000 after 3 years at the rate of 12 % p . a . ?", - "Output Program": [ - "n0 = 40000.0\nn1 = 3.0\nn2 = 12.0\nt0 = n2 / 100.0\nt1 = 100.0 * 4.0\nt2 = t0 + 1.0\nt3 = t1 * 100.0\nt4 = t2**min(n1, 5)\nt5 = t3 * t4\nanswer = t5 - t3\nprint(answer)" - ], - "Output Answer": [ - "16197.120000000017" - ], - "split": "train" - }, - { - "Input": "sahil purchased a machine at rs 13000 , then got it repaired at rs 5000 , then gave its transportation charges rs 1000 . then he sold it with 50 % of profit . at what price he actually sold it .", - "Output Program": [ - "n0 = 13000.0\nn1 = 5000.0\nn2 = 1000.0\nn3 = 50.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = t1 / 100.0\nt3 = n3 * t2\nanswer = t1 + t3\nprint(answer)" - ], - "Output Answer": [ - "28500" - ], - "split": "train" - }, - { - "Input": "a cycle is bought for rs . 900 and sold for rs . 1260 , find the gain percent ?", - "Output Program": [ - "n0 = 900.0\nn1 = 1260.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "walking 6 / 7 of his usual rate , a boy reaches his school 4 min early . find his usual time to reach the school ?", - "Output Program": [ - "n0 = 6.0\nn1 = 7.0\nn2 = 4.0\n\nanswer = n0 * n2\nprint(answer)" - ], - "Output Answer": [ - "24" - ], - "split": "train" - }, - { - "Input": "a $ 500 investment and a $ 1,500 investment have a combined yearly return of 19 percent of the total of the two investments . if the $ 500 investment has a yearly return of 7 percent , what percent yearly return does the $ 1,500 investment have ?", - "Output Program": [ - "n0 = 500.0\nn1 = 1500.0\nn2 = 19.0\nn3 = 500.0\nn4 = 7.0\nn5 = 1500.0\nt0 = n2 / 100.0\nt1 = n4 / 100.0\nt2 = n0 * 3.0\nt3 = n0 + t2\nt4 = n0 * t1\nt5 = t3 * t0\nt6 = t5 - t4\nt7 = t6 / t2\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "23" - ], - "split": "train" - }, - { - "Input": "in the fifth grade at parkway elementary school there are 450 students . 320 students are boys and 250 students are playing soccer . 86 % of the students that play soccer are boys . how many girl student are in parkway that is not playing soccer ?", - "Output Program": [ - "n0 = 450.0\nn1 = 320.0\nn2 = 250.0\nn3 = 86.0\nt0 = n2 * n3\nt1 = n0 - n1\nt2 = t0 / 100.0\nt3 = n2 - t2\nanswer = t1 - t3\nprint(answer)" - ], - "Output Answer": [ - "95" - ], - "split": "train" - }, - { - "Input": "john makes $ 60 a week from his job . he earns a raise and now makes $ 80 a week . what is the % increase ?", - "Output Program": [ - "n0 = 60.0\nn1 = 80.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sells 20 % of his stock at 20 % profit ans sells the remaining at a loss of 10 % . he incurred an overall loss of rs . 500 . find the total worth of the stock ?", - "Output Program": [ - "n0 = 20.0\nn1 = 20.0\nn2 = 10.0\nn3 = 500.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 / 100.0\nt3 = 100.0 - n0\nt4 = t3 / 100.0\nt5 = t1 * t2\nt6 = t0 * t4\nt7 = t6 - t5\nanswer = n3 / t7\nprint(answer)" - ], - "Output Answer": [ - "12499.999999999998" - ], - "split": "train" - }, - { - "Input": "what was the principal , if at 12 % per annum the interest after 3 years amounted to rs . 5888 less than the sum lent ?", - "Output Program": [ - "n0 = 12.0\nn1 = 3.0\nn2 = 5888.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "9200" - ], - "split": "train" - }, - { - "Input": "after successive discounts of 20 % , 10 % and 5 % a certain good is sold for rs . 6600 . find the actual price of the good .", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nn2 = 5.0\nn3 = 6600.0\nt0 = n3 * 100.0\nt1 = 100.0 - n0\nt2 = n1 * t1\nt3 = t2 / 100.0\nt4 = t1 - t3\nt5 = n2 * t4\nt6 = t5 / 100.0\nt7 = t4 - t6\nanswer = t0 / t7\nprint(answer)" - ], - "Output Answer": [ - "9649.122807017544" - ], - "split": "train" - }, - { - "Input": "40 % of a number is more than 20 % of 650 by 190 . find the number ?", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nn2 = 650.0\nn3 = 190.0\nt0 = n1 * n2\nt1 = t0 / 100.0\nt2 = n3 + t1\nt3 = t2 * 100.0\nanswer = t3 / n0\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "train" - }, - { - "Input": "jerry went to a shop and bought things worth rs . 40 , out of which 30 % went on sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ?", - "Output Program": [ - "n0 = 40.0\nn1 = 30.0\nn2 = 6.0\nt0 = n1 / 100.0\nt1 = 100.0 / n2\nt2 = t0 * t1\nt3 = t0 + t2\nanswer = n0 - t3\nprint(answer)" - ], - "Output Answer": [ - "34.7" - ], - "split": "train" - }, - { - "Input": "if 10 litres of an oil of rs . 55 per litres be mixed with 5 litres of another oil of rs . 66 per litre then what is the rate of mixed oil per litre ?", - "Output Program": [ - "n0 = 10.0\nn1 = 55.0\nn2 = 5.0\nn3 = 66.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n3\nt3 = t1 + t2\nanswer = t3 / t0\nprint(answer)" - ], - "Output Answer": [ - "58.666666666666664" - ], - "split": "train" - }, - { - "Input": "if a large pizza has a radius that is 50 % larger that that of a medium pizza , what is the percent increase in area between a medium and a large pizza ?", - "Output Program": [ - "n0 = 50.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "125" - ], - "split": "train" - }, - { - "Input": "a trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg . in order to earn a profit of 40 % , what should be the sale price of the mixed tea ?", - "Output Program": [ - "n0 = 80.0\nn1 = 15.0\nn2 = 20.0\nn3 = 20.0\nn4 = 40.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n2\nt3 = t1 + t2\nt4 = t3 / t0\nt5 = n4 * t4\nt6 = t5 / 100.0\nanswer = t6 + t4\nprint(answer)" - ], - "Output Answer": [ - "22.4" - ], - "split": "train" - }, - { - "Input": "if 10 litres of an oil of rs . 54 per litres be mixed with 5 litres of another oil of rs . 66 per litre then what is the rate of mixed oil per litre ?", - "Output Program": [ - "n0 = 10.0\nn1 = 54.0\nn2 = 5.0\nn3 = 66.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n3\nt3 = t1 + t2\nanswer = t3 / t0\nprint(answer)" - ], - "Output Answer": [ - "58" - ], - "split": "train" - }, - { - "Input": "a football team lost 5 yards and then gained 10 . what is the team ' s progress ?", - "Output Program": [ - "n0 = 5.0\nn1 = 10.0\n\nanswer = n1 - n0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "weights of two friends ram and shyam are in the ratio 2 : 5 . if ram ' s weight is increased by 10 % and total weight of ram and shyam become 82.8 kg , with an increases of 15 % . by what percent did the weight of shyam has to be increased ?", - "Output Program": [ - "n0 = 2.0\nn1 = 5.0\nn2 = 10.0\nn3 = 82.8\nn4 = 15.0\nt0 = n0 / n1\nt1 = n4 - n2\nt2 = t0 * t1\nanswer = n4 + t2\nprint(answer)" - ], - "Output Answer": [ - "17" - ], - "split": "train" - }, - { - "Input": "at what rate percent on simple interest will rs . 850 amount to rs . 950 in 5 years ?", - "Output Program": [ - "n0 = 850.0\nn1 = 950.0\nn2 = 5.0\nt0 = n1 - n0\nt1 = t0 / n0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2.3529411764705883" - ], - "split": "train" - }, - { - "Input": "the purchase price of an article is $ 48 . in order to include 20 % of cost for overhead and to provide $ 12 of net profit , the markup should be", - "Output Program": [ - "n0 = 48.0\nn1 = 20.0\nn2 = 12.0\nt0 = n2 / n0\nt1 = t0 * 100.0\nanswer = n1 + t1\nprint(answer)" - ], - "Output Answer": [ - "45" - ], - "split": "train" - }, - { - "Input": "a sum was put at simple interest at a certain rate for 10 years . had it been put at 5 % higher rate , it would have fetched rs . 300 more . what was the sum ?", - "Output Program": [ - "n0 = 10.0\nn1 = 5.0\nn2 = 300.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "if x is invested in a bank at a rate of simple interest of y % p . a . for two years , then the interest earned is 500 . if x is invested at y % p . a . , for two years when the interest is compounded annually , the interest is 512.50 . what is the value of x ?", - "Output Program": [ - "n0 = 500.0\nn1 = 512.5\nt0 = n0 / 2.0\nt1 = n1 - n0\nt2 = t0**min(2.0, 5)\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "5000" - ], - "split": "train" - }, - { - "Input": "a man is walking at the rate of 5 km / hr crosses a bridge in 15 minutes . the length of the bridge is", - "Output Program": [ - "n0 = 5.0\nn1 = 15.0\nt0 = n1 / 60.0\nt1 = n0 * t0\nanswer = t1 * 1000.0\nprint(answer)" - ], - "Output Answer": [ - "1250" - ], - "split": "train" - }, - { - "Input": "a dishonest dealer professes to sell goods at the cost price but uses a weight of 840 grams per kg , what is his percent ?", - "Output Program": [ - "n0 = 840.0\nt0 = 2.0 + 3.0\nt1 = 100.0 / n0\nt2 = t0 * 2.0\nt3 = t2 * 100.0\nt4 = t1 * t3\nanswer = t4 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "19.047619047619037" - ], - "split": "train" - }, - { - "Input": "in a school of 850 boys , 44 % of muslims , 32 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?", - "Output Program": [ - "n0 = 850.0\nn1 = 44.0\nn2 = 32.0\nn3 = 10.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = 100.0 - t1\nt3 = n0 * t2\nanswer = t3 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "119" - ], - "split": "train" - }, - { - "Input": "70 % of the employees of a company are men . 50 % of the men in the company speak french and 40 % of the employees of the company speak french . what is % of the women in the company who do not speak french ?", - "Output Program": [ - "n0 = 70.0\nn1 = 50.0\nn2 = 40.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = 100.0 - n0\nt4 = t3 / 100.0\nt5 = t1 * t2\nt6 = t0 - t5\nt7 = t4 - t6\nt8 = t7 / t4\nanswer = t8 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "83.33333333333331" - ], - "split": "train" - }, - { - "Input": "a and b are partners in a business . a contributes 1 / 4 of the capital for 15 months and b received 2 / 3 of the profit . for how long b ' s money was used ?", - "Output Program": [ - "n0 = 1.0\nn1 = 4.0\nn2 = 15.0\nn3 = 2.0\nn4 = 3.0\nt0 = n0 + 10.0\nanswer = t0 - n0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "ramesh purchased a refrigerator for rs . 15500 after getting a discount of 20 % on the labelled price . he spent rs . 125 on transport and rs . 250 on installation . at what price should it be sold so that the profit earned would be 10 % if no discount was offered ?", - "Output Program": [ - "n0 = 15500.0\nn1 = 20.0\nn2 = 125.0\nn3 = 250.0\nn4 = 10.0\nt0 = n4 + 100.0\nt1 = n2 + n3\nt2 = n0 * 100.0\nt3 = 100.0 - n1\nt4 = t2 / t3\nt5 = t1 + t4\nt6 = t0 * t5\nanswer = t6 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "21725" - ], - "split": "train" - }, - { - "Input": "suresh and ramesh started a business investing rs . 24,000 and rs . 40,000 respectively . out of total profit of rs . 19,000 , what is ramesh ' s share ?", - "Output Program": [ - "n0 = 24000.0\nn1 = 40000.0\nn2 = 19000.0\nt0 = 2.0 + 3.0\nt1 = 3.0 * 4.0\nt2 = t0 * 2.0\nt3 = t1 * 2.0\nt4 = t2 * 100.0\nt5 = t2 * 4.0\nt6 = t3 - t0\nt7 = t4 * t6\nt8 = t3 * t4\nt9 = t5 * t4\nt10 = t8 + t9\nt11 = t7 / t10\nanswer = t11 * t9\nprint(answer)" - ], - "Output Answer": [ - "11875" - ], - "split": "train" - }, - { - "Input": "if difference between compound interest and simple interest on a sum at 5 % p . a . for 2 years is rs . 60 , then what is the sum ?", - "Output Program": [ - "n0 = 5.0\nn1 = 2.0\nn2 = 60.0\nt0 = n0 / 100.0\nt1 = t0 * t0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "23999.999999999996" - ], - "split": "train" - }, - { - "Input": "if it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300 responses are needed , what is the minimum number of questionnaires that should be mailed ?", - "Output Program": [ - "n0 = 60.0\nn1 = 300.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "train" - }, - { - "Input": "a polling company surveyed a certain country , and it found that 35 % of that country \u2019 s registered voters had an unfavorable impression of both of that state \u2019 s major political parties and that 20 % had a favorable impression only of party t . if one registered voter has a favorable impression of both parties for every two registered voters who have a favorable impression only of party b , then what percentage of the country \u2019 s registered voters have a favorable impression of both parties ( assuming that respondents to the poll were given a choice between favorable and unfavorable impressions only ) ?", - "Output Program": [ - "n0 = 35.0\nn1 = 20.0\nt0 = n0 + n1\nt1 = 100.0 - t0\nanswer = t1 / 3.0\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "a man took loan from a bank at the rate of 5 % p . a . s . i . after 13 years he had to pay rs . 1300 interest only for the period . the principal amount borrowed by him was ?", - "Output Program": [ - "n0 = 5.0\nn1 = 13.0\nn2 = 1300.0\nt0 = n2 * 100.0\nt1 = t0 / n1\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "2000" - ], - "split": "train" - }, - { - "Input": "a present value of a machine is $ 1100 . its value depletion rate is 10 % per annum then find the machine value after 2 years ?", - "Output Program": [ - "n0 = 1100.0\nn1 = 10.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "891.0000000000001" - ], - "split": "train" - }, - { - "Input": "in a village of 2,600 people , 800 people are over 70 years old and 850 people are female . it is known that 40 percent of the females are younger than 70 years old . if no one in the village is 70 years old , what is the probability that a person chosen at random is either a male or younger than 70 years old ?", - "Output Program": [ - "n0 = 2600.0\nn1 = 800.0\nn2 = 70.0\nn3 = 850.0\nn4 = 40.0\nn5 = 70.0\nn6 = 70.0\nn7 = 70.0\nt0 = 5.0 * 5.0\nt1 = t0 / 0.25\nt2 = n4 / t1\nt3 = t1 * 26.0\nt4 = 1.0 - t2\nt5 = n3 * t4\nt6 = t3 - t5\nanswer = t6 / t3\nprint(answer)" - ], - "Output Answer": [ - "0.8038461538461539" - ], - "split": "train" - }, - { - "Input": "the difference between simple interest and compound interest on rs . 1200 for one year at 10 % per annum reckoned half - yearly is :", - "Output Program": [ - "n0 = 1200.0\nn1 = 10.0\nt0 = n1 / 2.0\nt1 = n0 * n1\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 + 1.0\nt5 = t4**min(2.0, 5)\nt6 = n0 * t5\nt7 = t6 - n0\nanswer = t7 - t3\nprint(answer)" - ], - "Output Answer": [ - "3" - ], - "split": "train" - }, - { - "Input": "if a trader sold two cars each at rs . 325475 and gains 13 % on the first and loses 13 % on the second , then his profit or loss percent on the whole is ?", - "Output Program": [ - "n0 = 325475.0\nn1 = 13.0\nn2 = 13.0\nt0 = n1 * n1\nanswer = t0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1.69" - ], - "split": "train" - }, - { - "Input": "a reduction of 40 % in the price of bananas would enable a man to obtain 67 more for rs . 40 , what is reduced price per dozen ?", - "Output Program": [ - "n0 = 40.0\nn1 = 67.0\nn2 = 40.0\nt0 = n0 / 100.0\nt1 = n0 * t0\nt2 = t1 / n1\nanswer = t2 * 12.0\nprint(answer)" - ], - "Output Answer": [ - "2.8656716417910446" - ], - "split": "train" - }, - { - "Input": "albert invested rs . 1000 in a scheme for 3 years at compound interest rate 10 % p . a . how much amount will albert get on maturity of the fixed deposit ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 3.0\nn2 = 10.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "1331.0000000000005" - ], - "split": "train" - }, - { - "Input": "in a park there are two ponds with both brown ducks and green ducks . in the smaller pond there are 30 ducks and in the larger pond there are 50 ducks . if 20 % of the ducks in the smaller pond are green and 12 % of the ducks in the larger pond are green , then what percentage of ducks are green ?", - "Output Program": [ - "n0 = 30.0\nn1 = 50.0\nn2 = 20.0\nn3 = 12.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = n0 * t1\nt4 = n1 * t2\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "sonika deposited rs . 8000 which amounted to rs . 9200 after 3 years at simple interest . had the interest been 2.5 % more . she would get how much ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 9200.0\nn2 = 3.0\nn3 = 2.5\nt0 = n3 / 100.0\nt1 = n1 - n0\nt2 = t1 / n2\nt3 = t2 / n0\nt4 = t0 + t3\nt5 = n0 * t4\nt6 = n2 * t5\nanswer = n0 + t6\nprint(answer)" - ], - "Output Answer": [ - "9800" - ], - "split": "train" - }, - { - "Input": "because he \u2019 s taxed by his home planet , mork pays a tax rate of 45 % on his income , while mindy pays a rate of only 20 % on hers . if mindy earned 4 times as much as mork did , what was their combined tax rate ?", - "Output Program": [ - "n0 = 45.0\nn1 = 20.0\nn2 = 4.0\nt0 = n2 + 1.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = n2 * t2\nt4 = t1 + t3\nt5 = t4 / t0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "the banker ' s gain of a certain sum due 2 years hence at 10 % per annum is rs . 24 . the present worth is", - "Output Program": [ - "n0 = 2.0\nn1 = 10.0\nn2 = 24.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nt2 = t0 / t1\nt3 = t2 * 100.0\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "the salary of a person was reduced by 20 % . by what percent should his reduced salary be raised so as to bring it at par with his original salary ?", - "Output Program": [ - "n0 = 20.0\nt0 = n0 / 100.0\nt1 = t0 * 100.0\nt2 = 100.0 - t1\nt3 = t1 / t2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "if 10 % of 30 % of 50 % of a number is 90 , then what is the number ?", - "Output Program": [ - "n0 = 10.0\nn1 = 30.0\nn2 = 50.0\nn3 = 90.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 / 100.0\nt3 = t1 * t2\nt4 = t0 * t3\nanswer = n3 / t4\nprint(answer)" - ], - "Output Answer": [ - "6000" - ], - "split": "train" - }, - { - "Input": "john started a business , investing rs . 18000 . after 3 months and 4 months respectively , rose and tom joined him with capitals of 12000 and 9000 . at the end of the year the total profit was rs . 4070 . what is the difference between rose \u2019 s and tom \u2019 s share in the profit ?", - "Output Program": [ - "n0 = 18000.0\nn1 = 3.0\nn2 = 4.0\nn3 = 12000.0\nn4 = 9000.0\nn5 = 4070.0\nt0 = n1 * n2\nt1 = 10.0 * 100.0\nt2 = n0 * t0\nt3 = t0 - n1\nt4 = t0 - n2\nt5 = t2 / t1\nt6 = n3 * t3\nt7 = n4 * t4\nt8 = t6 / t1\nt9 = t7 / t1\nt10 = t5 + t8\nt11 = n5 * t8\nt12 = n5 * t9\nt13 = t10 + t9\nt14 = t11 / t13\nt15 = t12 / t13\nanswer = t14 - t15\nprint(answer)" - ], - "Output Answer": [ - "370" - ], - "split": "train" - }, - { - "Input": "peter invests a sum of money and gets back an amount of $ 815 in 3 years . david invests an equal amount of money and gets an amount of $ 854 in 4 years . if both amounts were invested at the same rate ( simple interest ) what was the sum of money invested ?", - "Output Program": [ - "n0 = 815.0\nn1 = 3.0\nn2 = 854.0\nn3 = 4.0\nt0 = n3 / 100.0\nt1 = n1 / 100.0\nt2 = n2 - n0\nt3 = t0 - t1\nt4 = t2 / t3\nt5 = t4 * t1\nanswer = n0 - t5\nprint(answer)" - ], - "Output Answer": [ - "698" - ], - "split": "train" - }, - { - "Input": "a man walking at the rate of 6 km / hr crosses a bridge in 15 minutes . the length of the bridge is ______ .", - "Output Program": [ - "n0 = 6.0\nn1 = 15.0\nt0 = n0 * 1000.0\nt1 = t0 / 60.0\nanswer = n1 * t1\nprint(answer)" - ], - "Output Answer": [ - "1500" - ], - "split": "train" - }, - { - "Input": "in town p , 60 percent of the population are employed , and 45 percent of the population are employed males . what percent of the employed people in town p are females ?", - "Output Program": [ - "n0 = 60.0\nn1 = 45.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "find the amount on rs . 4000 in 2 years , the rate of interest being 4 % per first year and 5 % for the second year ?", - "Output Program": [ - "n0 = 4000.0\nn1 = 2.0\nn2 = 4.0\nn3 = 5.0\nt0 = n3 + 100.0\nt1 = n2 + 100.0\nt2 = n0 * t1\nt3 = t2 / 100.0\nt4 = t0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "4368" - ], - "split": "train" - }, - { - "Input": "in a graduate physics course , 70 percent of the students are male and 30 percent of the students are married . if two - sevenths of the male students are married , what fraction of the female students is married ?", - "Output Program": [ - "n0 = 70.0\nn1 = 30.0\n\nanswer = 10.0 / n1\nprint(answer)" - ], - "Output Answer": [ - "0.3333333333333333" - ], - "split": "train" - }, - { - "Input": "at a special sale , 12 tickets can be purchased for the price of 3 tickets . if 12 tickets are purchased at the sale , the amount saved will be what percent of the original price of the 12 tickets ?", - "Output Program": [ - "n0 = 12.0\nn1 = 3.0\nn2 = 12.0\nn3 = 12.0\nt0 = n0 * n0\nt1 = n0 * n1\nt2 = t0 - t1\nt3 = t2 * 100.0\nanswer = t3 / t0\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "train" - }, - { - "Input": "a candidate appearing for an examination has to secure 35 % marks to pass paper i . but he secured only 42 marks and failed by 23 marks . what is the maximum mark for paper i ?", - "Output Program": [ - "n0 = 35.0\nn1 = 42.0\nn2 = 23.0\nt0 = n1 + n2\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "185.71428571428572" - ], - "split": "train" - }, - { - "Input": "a person bought 114 glass bowls at a rate of rs . 13 per bowl . he sold 108 of them at rs . 17 and the remaining broke . what is the percentage gain for a ?", - "Output Program": [ - "n0 = 114.0\nn1 = 13.0\nn2 = 108.0\nn3 = 17.0\nt0 = n2 * n3\nt1 = n0 * n1\nt2 = t0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "23.88663967611336" - ], - "split": "train" - }, - { - "Input": "a dishonest shopkeeper professes to sell pulses at the cost price , but he uses a false weight of 980 gm . for a kg . his gain is \u2026 % .", - "Output Program": [ - "n0 = 980.0\nt0 = 1.0 + 4.0\nt1 = t0 * 2.0\nt2 = t1 * 100.0\nt3 = n0 / t2\nt4 = 1 / t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2.0408163265306145" - ], - "split": "train" - }, - { - "Input": "if 20 % of a number = 400 , then 120 % of that number will be ?", - "Output Program": [ - "n0 = 20.0\nn1 = 400.0\nn2 = 120.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "2400" - ], - "split": "train" - }, - { - "Input": "if 50 % of 100 is greater than 20 % of a number by 47 , what is the number ?", - "Output Program": [ - "n0 = 50.0\nn1 = 100.0\nn2 = 20.0\nn3 = 47.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 * t0\nt3 = t2 - n3\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "running at the same constant rate , 6 identical machines can produce a total of 270 bottles per minute . at this rate , how many bottles could 14 such machines produce in 4 minutes ?", - "Output Program": [ - "n0 = 6.0\nn1 = 270.0\nn2 = 14.0\nn3 = 4.0\nt0 = n1 / n0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "2520" - ], - "split": "train" - }, - { - "Input": "ramu bought an old car for rs . 42000 . he spent rs . 12000 on repairs and sold it for rs . 64900 . what is his profit percent ?", - "Output Program": [ - "n0 = 42000.0\nn1 = 12000.0\nn2 = 64900.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20.185185185185187" - ], - "split": "train" - }, - { - "Input": "3 candidates in an election and received 1136 , 8236 and 11628 votes respectively . what % of the total votes did the winning candidate gotin that election ?", - "Output Program": [ - "n0 = 3.0\nn1 = 1136.0\nn2 = 8236.0\nn3 = 11628.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = n3 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "55.371428571428574" - ], - "split": "train" - }, - { - "Input": "increasing the original price of an article by 15 percent and then increasing the new price by 15 percent is equivalent to increasing the original price by", - "Output Program": [ - "n0 = 15.0\nn1 = 15.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1 * t1\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "32.24999999999998" - ], - "split": "train" - }, - { - "Input": "a merchant purchased a jacket for $ 48 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 40 percent of the selling price . during a sale , the merchant discounted the selling price by 20 percent and sold the jacket . what was the merchant \u2019 s gross profit on this sale ?", - "Output Program": [ - "n0 = 48.0\nn1 = 40.0\nn2 = 20.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = n0 / t2\nt5 = t4 * t3\nanswer = t5 - n0\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "in an election , candidate a got 75 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favour of candidate ?", - "Output Program": [ - "n0 = 75.0\nn1 = 15.0\nn2 = 560000.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = 1.0 - t1\nt3 = n2 * t2\nanswer = t0 * t3\nprint(answer)" - ], - "Output Answer": [ - "357000" - ], - "split": "train" - }, - { - "Input": "mohit sold an article for $ 15000 . had he offered a discount of 10 % on the selling price , he would have earned a profit of 8 % . what is the cost price of the article ?", - "Output Program": [ - "n0 = 15000.0\nn1 = 10.0\nn2 = 8.0\nt0 = n2 + 100.0\nt1 = n0 * n1\nt2 = t1 / 100.0\nt3 = n0 - t2\nt4 = t3 / t0\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12500" - ], - "split": "train" - }, - { - "Input": "a number increased by 20 % gives 480 . the number is ?", - "Output Program": [ - "n0 = 20.0\nn1 = 480.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "ramesh purchased a refrigerator for rs . 12500 after getting a discount of 20 % on the labelled price . he spent rs . 125 on transport and rs . 250 on installation . at what price should it be sold so that the profit earned would be 16 % if no discount was offered ?", - "Output Program": [ - "n0 = 12500.0\nn1 = 20.0\nn2 = 125.0\nn3 = 250.0\nn4 = 16.0\nt0 = n4 + 100.0\nt1 = n2 + n3\nt2 = n0 * 100.0\nt3 = 100.0 - n1\nt4 = t2 / t3\nt5 = t1 + t4\nt6 = t0 * t5\nanswer = t6 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "18560" - ], - "split": "train" - }, - { - "Input": "a fruit seller had some apples . he sells 40 % apples and still he has 420 . originally he had how many apples ?", - "Output Program": [ - "n0 = 40.0\nn1 = 420.0\n\nanswer = n1 * 100 / (100 + 1e-5 - n0) # original price before loss\nprint(answer)" - ], - "Output Answer": [ - "699.9998833333527" - ], - "split": "train" - }, - { - "Input": "a sells a cricket bat to b at a profit of 20 % . b sells it to c at a profit of 25 % . if c pays $ 228 for it , the cost price of the cricket bat for a is :", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nn2 = 228.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "152" - ], - "split": "train" - }, - { - "Input": "by weight , liquid x makes up 0.8 percent of solution a and 1.8 percent of solution b . if 300 grams of solution a are mixed with 700 grams of solution b , then liquid x accounts for what percent of the weight of the resulting solution ?", - "Output Program": [ - "n0 = 0.8\nn1 = 1.8\nn2 = 300.0\nn3 = 700.0\nt0 = n0 * n2\nt1 = n1 * n3\nt2 = t0 + t1\nanswer = t2 / 1000.0\nprint(answer)" - ], - "Output Answer": [ - "1.5" - ], - "split": "train" - }, - { - "Input": "in a certain pond , 70 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?", - "Output Program": [ - "n0 = 70.0\nn1 = 50.0\nn2 = 2.0\nt0 = n2 / n1\nanswer = n0 / t0\nprint(answer)" - ], - "Output Answer": [ - "1750" - ], - "split": "train" - }, - { - "Input": "a retailer buys a radio for rs 232 . his overhead expenses are rs 15 . he sellis the radio for rs 300 . the profit percent of the retailer is", - "Output Program": [ - "n0 = 232.0\nn1 = 15.0\nn2 = 300.0\nt0 = n0 + n1\nt1 = n2 / t0\nt2 = t1 * 100.0\nanswer = t2 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "21.457489878542503" - ], - "split": "train" - }, - { - "Input": "alfred buys an old scooter for $ 4700 and spends $ 1000 on its repairs . if he sells the scooter for $ 5800 , his gain percent is ?", - "Output Program": [ - "n0 = 4700.0\nn1 = 1000.0\nn2 = 5800.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "1.7543859649122806" - ], - "split": "train" - }, - { - "Input": "in an election a candidate who gets 60 % of the votes is elected by a majority of 1200 votes . what is the total number of votes polled ?", - "Output Program": [ - "n0 = 60.0\nn1 = 1200.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "6000" - ], - "split": "train" - }, - { - "Input": "john and jane went out for a dinner and they ordered the same dish . both used a 10 % discount coupon . john paid a 15 % tip over the original price of the dish , while jane paid the tip over the discounted price for the coupon . if john paid $ 0.54 more than jane , what was the original price of the dish ?", - "Output Program": [ - "n0 = 10.0\nn1 = 15.0\nn2 = 0.54\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t1\nt3 = t0 * t2\nt4 = t0 - t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "36.000000000000036" - ], - "split": "train" - }, - { - "Input": "in a certain company , a third of the workers do not have a retirement plan . 20 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 112 of the workers of that company are men , how many of the workers are women ?", - "Output Program": [ - "n0 = 20.0\nn1 = 40.0\nn2 = 112.0\nt0 = 1.0 / 3.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 * t1\nt4 = 1.0 - t0\nt5 = t2 * t4\nt6 = t0 - t3\nt7 = t5 + t6\nt8 = t4 - t5\nt9 = t3 + t8\nt10 = n2 / t7\nanswer = t9 * t10\nprint(answer)" - ], - "Output Answer": [ - "97.99999999999999" - ], - "split": "train" - }, - { - "Input": "there are 2000 students in a school and among them 10 % of them attends chess class . 50 % of the students who are in the chess class are also enrolled for swimming . no other students are interested in swimming so how many will attend the swimming class if all enrolled attends ?", - "Output Program": [ - "n0 = 2000.0\nn1 = 10.0\nn2 = 50.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n2 * t1\nanswer = t2 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "a hostel had provisions for 250 men for 40 days . if 50 men left the hostel , how long will the food last at the same rate ?", - "Output Program": [ - "n0 = 250.0\nn1 = 40.0\nn2 = 50.0\nt0 = n0 * n1\nt1 = n0 - n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a and b started a business in partnership investing rs . 20000 and rs . 15000 respectively . after 6 months , c joined them with rs . 20000 . what will be b ' s share in the total profit of rs . 25000 earned at the end of 2 years from the starting of the business ?", - "Output Program": [ - "n0 = 20000.0\nn1 = 15000.0\nn2 = 6.0\nn3 = 20000.0\nn4 = 25000.0\nn5 = 2.0\nt0 = 12.0 * 2.0\nt1 = n1 * t0\nt2 = n0 * t0\nt3 = t0 - n2\nt4 = t2 + t1\nt5 = n0 * t3\nt6 = t4 + t5\nt7 = t1 / t6\nanswer = n4 * t7\nprint(answer)" - ], - "Output Answer": [ - "7500" - ], - "split": "train" - }, - { - "Input": "indu gave bindu rs . 6500 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?", - "Output Program": [ - "n0 = 6500.0\nn1 = 2.0\nn2 = 4.0\nn3 = 2.0\nn4 = 4.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = n0 * t0\nt3 = n1 * t2\nt4 = t1**min(n1, 5)\nt5 = n0 * t4\nt6 = t5 - n0\nanswer = t6 - t3\nprint(answer)" - ], - "Output Answer": [ - "10.400000000000546" - ], - "split": "train" - }, - { - "Input": "kanul spent $ 5000 in buying raw materials , $ 200 in buying machinery and 30 % of the total amount he had as cash with him . what was the total amount ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 200.0\nn2 = 30.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = 1.0 - t1\nanswer = t0 / t2\nprint(answer)" - ], - "Output Answer": [ - "7428.571428571429" - ], - "split": "train" - }, - { - "Input": "the compound interest earned by sunil on a certain amount at the end of two years at the rate of 5 % p . a . was rs . 492 . find the total amount that sunil got back at the end of two years in the form of principal plus interest earned .", - "Output Program": [ - "n0 = 5.0\nn1 = 492.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nt3 = t2 - 1.0\nt4 = n1 / t3\nanswer = n1 + t4\nprint(answer)" - ], - "Output Answer": [ - "5291.999999999998" - ], - "split": "train" - }, - { - "Input": "the simple interest on rs . 8 for 12 months at the rate of 5 paise per rupeeper month is", - "Output Program": [ - "n0 = 8.0\nn1 = 12.0\nn2 = 5.0\nt0 = n0 * n1\nt1 = n2 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "4.8" - ], - "split": "train" - }, - { - "Input": "heinz produces tomato puree by boiling tomato juice . the tomato puree has only 20 % water while the tomato juice has 90 % water . how many liters of tomato puree will be obtained from 80 litres of tomato juice ?", - "Output Program": [ - "n0 = 20.0\nn1 = 90.0\nn2 = 80.0\nt0 = 100.0 - n1\nt1 = 100.0 - n0\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = n2 * t2\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "a technician makes a round - trip to and from a certain service center by the same route . if the technician completes the drive to the center and then completes 30 percent of the drive from the center , what percent of the round - trip has the technician completed ?", - "Output Program": [ - "n0 = 30.0\nt0 = 100.0 / 2.0\nt1 = n0 * t0\nt2 = t1 / 100.0\nanswer = t0 + t2\nprint(answer)" - ], - "Output Answer": [ - "65" - ], - "split": "train" - }, - { - "Input": "from the beginning to the end of 2007 , the price of a stock rose 20 percent . in 2008 , it dropped 25 percent . in 2009 , it rose 20 percent . what percent of the stock \u2019 s 2007 starting price was the price of the stock at the end of 2009 ?", - "Output Program": [ - "n0 = 2007.0\nn1 = 20.0\nn2 = 2008.0\nn3 = 25.0\nn4 = 2009.0\nn5 = 20.0\nn6 = 2007.0\nn7 = 2009.0\nt0 = n5 + 100.0\nt1 = n1 + 100.0\nt2 = 100.0 - n3\nt3 = t0 / 100.0\nt4 = t2 / 100.0\nt5 = t1 / 100.0\nt6 = t5 * 100.0\nt7 = t4 * t6\nanswer = t3 * t7\nprint(answer)" - ], - "Output Answer": [ - "108" - ], - "split": "train" - }, - { - "Input": "a 8 % stock yields 20 % . the market value of the stock is :", - "Output Program": [ - "n0 = 8.0\nn1 = 20.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "if it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 222 responses are needed , what is the minimum number of questionnaires that should be mailed ?", - "Output Program": [ - "n0 = 60.0\nn1 = 222.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "370" - ], - "split": "train" - }, - { - "Input": "by selling 95 pens , a trader gains the cost of 19 pens . find his gain percentage ?", - "Output Program": [ - "n0 = 95.0\nn1 = 19.0\nt0 = n1 / n0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "a , b and c started a business with capitals of rs . 8000 , rs . 10000 and rs . 12000 respectively . at the end of the year , the profit share of b is rs . 1800 . the difference between the profit shares of a and c is ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 10000.0\nn2 = 12000.0\nn3 = 1800.0\nt0 = n2 / n1\nt1 = n0 / n1\nt2 = t0 - t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "719.9999999999999" - ], - "split": "train" - }, - { - "Input": "by selling 16 pencils for a rupee a man loses 10 % . how many for a rupee should he sell in order to gain 20 % ?", - "Output Program": [ - "n0 = 16.0\nn1 = 10.0\nn2 = 20.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = 1.0 / t1\nt3 = t0 * t2\nt4 = 1.0 / t3\nanswer = n0 * t4\nprint(answer)" - ], - "Output Answer": [ - "11.999999999999998" - ], - "split": "train" - }, - { - "Input": "company p had 15 percent more employees in december than it had in january . if company p had 470 employees in december , how many employees did it have in january ?", - "Output Program": [ - "n0 = 15.0\nn1 = 470.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "408.69565217391306" - ], - "split": "train" - }, - { - "Input": "find the annual income derived by investing $ 6800 in 60 % stock at 136 .", - "Output Program": [ - "n0 = 6800.0\nn1 = 60.0\nn2 = 136.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" - ], - "Output Answer": [ - "3000" - ], - "split": "train" - }, - { - "Input": "ramu bought an old car for rs . 42000 . he spent rs . 13000 on repairs and sold it for rs . 64900 . what is his profit percent ?", - "Output Program": [ - "n0 = 42000.0\nn1 = 13000.0\nn2 = 64900.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "18" - ], - "split": "train" - }, - { - "Input": "the banker ' s gain on a sum due 3 years hence at 12 % per year is rs . 270 . the banker ' s discount is :", - "Output Program": [ - "n0 = 3.0\nn1 = 12.0\nn2 = 270.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nt2 = t0 / t1\nanswer = n2 + t2\nprint(answer)" - ], - "Output Answer": [ - "1020" - ], - "split": "train" - }, - { - "Input": "a store reduced the price of all items in the store by 10 % on the first day and by another 14 % on the second day . the price of items on the second day was what percent of the price before the first reduction took place ?", - "Output Program": [ - "n0 = 10.0\nn1 = 14.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 * t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "77.4" - ], - "split": "train" - }, - { - "Input": "if 85 % of the population of an ant colony is red , and of these 45 % are females , then what % of the total ant population are male red ants ?", - "Output Program": [ - "n0 = 85.0\nn1 = 45.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = 1.0 - t1\nt3 = t0 * t2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "46.75" - ], - "split": "train" - }, - { - "Input": "there is 60 lit of milk and water in which milk forms 84 % . howmuch water must be added to this solution to make it solution in which milk forms 64 %", - "Output Program": [ - "n0 = 60.0\nn1 = 84.0\nn2 = 64.0\nt0 = 100.0 / n2\nt1 = n0 * n1\nt2 = t1 / 100.0\nt3 = t0 * t2\nanswer = t3 - n0\nprint(answer)" - ], - "Output Answer": [ - "18.75" - ], - "split": "train" - }, - { - "Input": "a shopkeeper bought 600 oranges and 400 bananas . he found 15 % of oranges and 3 % of bananas were rotten . find the percentage of fruits in good condition ?", - "Output Program": [ - "n0 = 600.0\nn1 = 400.0\nn2 = 15.0\nn3 = 3.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = n0 * t1\nt4 = n1 * t2\nt5 = t3 + t4\nt6 = t0 - t5\nt7 = t6 / t0\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "89.8" - ], - "split": "train" - }, - { - "Input": "bruce purchased 9 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 9.0\nn1 = 70.0\nn2 = 9.0\nn3 = 55.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1125" - ], - "split": "train" - }, - { - "Input": "the price of a jacket is reduced by 25 % . during a special sale the price of the jacket is reduced another 20 % . by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount ?", - "Output Program": [ - "n0 = 25.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t1 - t2\nt4 = 100.0 - t3\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "66.66666666666666" - ], - "split": "train" - }, - { - "Input": "mahesh marks an article 15 % above the cost price of rs . 540 . what must be his discount percentage if he sells it at rs . 456 ?", - "Output Program": [ - "n0 = 15.0\nn1 = 540.0\nn2 = 456.0\nt0 = n0 + 100.0\nt1 = t0 / 100.0\nt2 = n1 * t1\nt3 = t2 - n2\nt4 = t3 * 100.0\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "26.570048309178745" - ], - "split": "train" - }, - { - "Input": "there are two groups of students in the sixth grade . there are 30 students in group a , and 50 students in group b . if , on a particular day , 20 % of the students in group a forget their homework , and 12 % of the students in group b forget their homework , then what percentage of the sixth graders forgot their homework ?", - "Output Program": [ - "n0 = 30.0\nn1 = 50.0\nn2 = 20.0\nn3 = 12.0\nt0 = n0 + n1\nt1 = n0 * n2\nt2 = n1 * n3\nt3 = t1 / 100.0\nt4 = t2 / 100.0\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "raman mixed 34 kg of butter at rs . 150 per kg with 36 kg butter at the rate of rs . 125 per kg . at what price per kg should he sell the mixture to make a profit of 40 % in the transaction ?", - "Output Program": [ - "n0 = 34.0\nn1 = 150.0\nn2 = 36.0\nn3 = 125.0\nn4 = 40.0\nt0 = n0 + n2\nt1 = n4 / 100.0\nt2 = n0 * n1\nt3 = n2 * n3\nt4 = t2 + t3\nt5 = t4 / t0\nt6 = t5 * t1\nanswer = t5 + t6\nprint(answer)" - ], - "Output Answer": [ - "192" - ], - "split": "train" - }, - { - "Input": "a lent rs . 5000 to b for 2 years and rs . 3000 to c for 4 years on simple interest at the same rate of interest and received rs . 2200 in all from both of them as interest . the rate of interest per annum is ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 2.0\nn2 = 3000.0\nn3 = 4.0\nn4 = 2200.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 + t1\nt3 = n4 / t2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "the salary of a person was reduced by 35 % . by what percent should his reduced salary be raised so as to bring it at par with his original salary ?", - "Output Program": [ - "n0 = 35.0\nt0 = n0 / 100.0\nt1 = t0 * 100.0\nt2 = 100.0 - t1\nt3 = t1 / t2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "53.84615384615385" - ], - "split": "train" - }, - { - "Input": "a bowl was filled with 10 ounces of water , and 0.00008 ounce of the water evaporated each day during a 50 - day period . what percent of the original amount of water evaporated during this period ?", - "Output Program": [ - "n0 = 10.0\nn1 = 8e-05\nn2 = 50.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "0.04" - ], - "split": "train" - }, - { - "Input": "a present value of a machine is $ 2500 . its value depletiation rate is 5 % per annum then find the machine value after 2 years ?", - "Output Program": [ - "n0 = 2500.0\nn1 = 5.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "2256.25" - ], - "split": "train" - }, - { - "Input": "each light bulb at a hotel is either incandescent or fluorescent . at a certain moment , thirty percent of the incandescent bulbs are switched on , and eighty percent of the fluorescent bulbs are switched on . if 70 percent of all the bulbs are switched on at this moment , what percent of the bulbs that are switched on are incandescent ?", - "Output Program": [ - "n0 = 70.0\nt0 = 1.0 + 4.0\nt1 = 2.0 * 4.0\nt2 = t0 * 2.0\nt3 = t2 * 3.0\nt4 = t1 * t2\nt5 = t3 / 100.0\nt6 = t4 - n0\nt7 = n0 - t3\nt8 = t6 / t7\nt9 = t8 / t0\nt10 = t9 * t2\nt11 = t10 - t5\nt12 = t3 * t11\nt13 = t12 / n0\nanswer = t13 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "8.571428571428571" - ], - "split": "train" - }, - { - "Input": "a chemist mixes one liter of pure water with x liters of a 40 % salt solution , and the resulting mixture is a 20 % salt solution . what is the value of x ?", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nt0 = n0 - n1\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "1" - ], - "split": "train" - }, - { - "Input": "sales price is $ 91 , gross profit is 160 % of cost , what is the value of gross profit ?", - "Output Program": [ - "n0 = 91.0\nn1 = 160.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n0 / t1\nanswer = n0 - t2\nprint(answer)" - ], - "Output Answer": [ - "56" - ], - "split": "train" - }, - { - "Input": "in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the rate in the remaining 40 overs to reach the target of 272 runs ?", - "Output Program": [ - "n0 = 10.0\nn1 = 3.2\nn2 = 40.0\nn3 = 272.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "boy sells a book for rs . 800 he gets a loss of 20 % , to gain 10 % , what should be the sp ?", - "Output Program": [ - "n0 = 800.0\nn1 = 20.0\nn2 = 10.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = 1.0 - t0\nt3 = n0 / t2\nt4 = t3 * t1\nanswer = t3 + t4\nprint(answer)" - ], - "Output Answer": [ - "1100" - ], - "split": "train" - }, - { - "Input": "last year sandy saved 6 % of her annual salary . this year , she made 10 % more money than last year , and she saved 9 % of her salary . the amount saved this year was what percent of the amount she saved last year ?", - "Output Program": [ - "n0 = 6.0\nn1 = 10.0\nn2 = 9.0\nt0 = n1 + 100.0\nt1 = n2 / 100.0\nt2 = n0 * 100.0\nt3 = t2 / 100.0\nt4 = t0 * t1\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "165" - ], - "split": "train" - }, - { - "Input": "in a school of 700 boys , 44 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?", - "Output Program": [ - "n0 = 700.0\nn1 = 44.0\nn2 = 28.0\nn3 = 10.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = 100.0 - t1\nt3 = n0 * t2\nanswer = t3 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "126" - ], - "split": "train" - }, - { - "Input": "there are 300 seniors at morse high school , and 50 % of them have cars . of the remaining grades ( freshmen , sophomores , and juniors ) , only 10 % of them have cars . if 20 % of all the students at morse have cars , how many students are in the 3 lower grades ?", - "Output Program": [ - "n0 = 300.0\nn1 = 50.0\nn2 = 10.0\nn3 = 20.0\nn4 = 3.0\nt0 = n0 * n1\nt1 = n0 * n3\nt2 = n3 - n2\nt3 = t0 - t1\nanswer = t3 / t2\nprint(answer)" - ], - "Output Answer": [ - "900" - ], - "split": "train" - }, - { - "Input": "in some quantity of ghee , 60 % is pure ghee and 40 % is vanaspati . if 10 kg of pure ghee is added , then the strength of vanaspati ghee becomes 20 % . the original quantity was :", - "Output Program": [ - "n0 = 60.0\nn1 = 40.0\nn2 = 10.0\nn3 = 20.0\nt0 = n2 * n3\nt1 = n1 - n3\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "one fourth of a solution that was 14 % salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight . the second solution was what percent salt by weight ?", - "Output Program": [ - "n0 = 14.0\nn1 = 16.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 * 4.0\nt3 = t1 * 4.0\nt4 = t3 - t1\nt5 = t2 - t4\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "21.999999999999996" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article offering a discount of 5 % and earned a profit of 19.7 % . what would have been the percentage of profit earned if no discount was offered ?", - "Output Program": [ - "n0 = 5.0\nn1 = 19.7\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * 100.0\nt3 = t2 / t1\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "26" - ], - "split": "train" - }, - { - "Input": "a candidate who gets 30 % of the marks fails by 60 marks . but another candidate who gets 45 % marks gets 30 marks more than necessary for passing . find the number of marks for passing ?", - "Output Program": [ - "n0 = 30.0\nn1 = 60.0\nn2 = 45.0\nn3 = 30.0\nt0 = n1 + n3\nt1 = n2 / 100.0\nt2 = n0 / 100.0\nt3 = t1 - t2\nt4 = t0 / t3\nt5 = t4 * t2\nanswer = n1 + t5\nprint(answer)" - ], - "Output Answer": [ - "239.99999999999997" - ], - "split": "train" - }, - { - "Input": "a merchant marks his goods up by 40 % and then offers a discount of 20 % on the marked price . what % profit does the merchant make after the discount ?", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "train" - }, - { - "Input": "there were two candidates in an election . winner candidate received 58 % of votes and won the election by 288 votes . find the number of votes casted to the winning candidate ?", - "Output Program": [ - "n0 = 58.0\nn1 = 288.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nt3 = n1 / t2\nt4 = n0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1044" - ], - "split": "train" - }, - { - "Input": "in a certain boys camp , 20 % of the total boys are from school a and 30 % of those study science . if there are 35 boys in the camp that are from school a but do not study science then what is the total number of boys in the camp ?", - "Output Program": [ - "n0 = 20.0\nn1 = 30.0\nn2 = 35.0\nt0 = n0 / 100.0\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nt3 = t2 * t0\nanswer = n2 / t3\nprint(answer)" - ], - "Output Answer": [ - "250.00000000000003" - ], - "split": "train" - }, - { - "Input": "at what price must an article costing rs . 50 be marked in order that after deducting 10 % from the list price . it may be sold at a profit of 25 % on the cost price ?", - "Output Program": [ - "n0 = 50.0\nn1 = 10.0\nn2 = 25.0\nt0 = n0 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 + t2\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "69.44444444444444" - ], - "split": "train" - }, - { - "Input": "a man two flats for $ 512456 each . on one he gains 20 % while on the other he loses 20 % . how much does he gain or lose in the whole transaction ?", - "Output Program": [ - "n0 = 512456.0\nn1 = 20.0\nn2 = 20.0\nt0 = n1 + 100.0\nt1 = n0 + n0\nt2 = 100.0 - n1\nt3 = 100.0 / t0\nt4 = 100.0 / t2\nt5 = n0 * t3\nt6 = n0 * t4\nt7 = t5 + t6\nt8 = t7 - t1\nt9 = t8 / t7\nanswer = t9 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "4.000000000000007" - ], - "split": "train" - }, - { - "Input": "an article is sold at a certain price . by selling it at 2 / 3 of that price one loses 10 % . find the gain percent at original price .", - "Output Program": [ - "n0 = 2.0\nn1 = 3.0\nn2 = 10.0\nt0 = n0 / n1\nt1 = 100.0 - n2\nt2 = t1 / t0\nanswer = t2 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "35" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sells 600 metres of cloth for rs . 36000 at a loss of rs . 10 per metre . find his cost price for one metre of cloth ?", - "Output Program": [ - "n0 = 600.0\nn1 = 36000.0\nn2 = 10.0\nt0 = n1 / n0\nanswer = n2 + t0\nprint(answer)" - ], - "Output Answer": [ - "70" - ], - "split": "train" - }, - { - "Input": "on a sum of money , the simple interest for 2 years is rs . 325 , while the compound interest is rs . 340 , the rate of interest being the same in both the cases . the rate of interest is", - "Output Program": [ - "n0 = 2.0\nn1 = 325.0\nn2 = 340.0\nt0 = n1 / n0\nt1 = n2 - t0\nt2 = t1 - t0\nt3 = t2 * 100.0\nanswer = t3 / t0\nprint(answer)" - ], - "Output Answer": [ - "9.23076923076923" - ], - "split": "train" - }, - { - "Input": "a reduction of 20 % in the price of salt enables a lady to obtain 10 kgs more for rs . 400 , find the original price per kg ?", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nn2 = 400.0\nt0 = n0 / 100.0\nt1 = n2 * t0\nt2 = t1 / n1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "if tim had lunch at $ 50.50 and he gave 15 % tip , how much did he spend ?", - "Output Program": [ - "n0 = 50.5\nn1 = 15.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "58.075" - ], - "split": "train" - }, - { - "Input": "on a purchase of $ 112 , a store offered a payment plan consisting of a $ 12 down payment and 12 monthly payments of $ 10 each . what percent of the purchase price , to the nearest tenth of a percent , did the customer pay in interest by using this plan ?", - "Output Program": [ - "n0 = 112.0\nn1 = 12.0\nn2 = 12.0\nn3 = 10.0\nt0 = n2 * n3\nt1 = n1 + t0\nt2 = t1 - t0\nt3 = t2 / n0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10.714285714285714" - ], - "split": "train" - }, - { - "Input": "the present worth of a sum due sometime hence is rs . 576 and the banker \u2019 s gain is rs . 16 . the true discount is :", - "Output Program": [ - "import math\nn0 = 576.0\nn1 = 16.0\nt0 = n0 * n1\nanswer = math.sqrt(max(0, t0))\nprint(answer)" - ], - "Output Answer": [ - "96" - ], - "split": "train" - }, - { - "Input": "an error 6 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is :", - "Output Program": [ - "n0 = 6.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "12.36" - ], - "split": "train" - }, - { - "Input": "in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the run rate in the remaining 30 overs to reach the target of 282 runs ?", - "Output Program": [ - "n0 = 10.0\nn1 = 3.2\nn2 = 30.0\nn3 = 282.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "8.333333333333334" - ], - "split": "train" - }, - { - "Input": "in an election between the two candidates , the candidates who gets 70 % of votes polled is winned by 360 vote \u2019 s majority . what is the total number of votes polled ?", - "Output Program": [ - "n0 = 70.0\nn1 = 360.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nt2 = n0 - t1\nanswer = t0 / t2\nprint(answer)" - ], - "Output Answer": [ - "900" - ], - "split": "train" - }, - { - "Input": "by selling 24 pencils for a rupee a man loses 20 % . how many for a rupee should he sell in order to gain 20 % ?", - "Output Program": [ - "n0 = 24.0\nn1 = 20.0\nn2 = 20.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = 1.0 / t1\nt3 = t0 * t2\nt4 = 1.0 / t3\nanswer = n0 * t4\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "ramesh purchased a refrigerator for rs . 13500 after getting a discount of 20 % on the labelled price . he spent rs . 125 on transport and rs . 250 on installation . at what price should it be sold so that the profit earned would be 10 % if no discount was offered ?", - "Output Program": [ - "n0 = 13500.0\nn1 = 20.0\nn2 = 125.0\nn3 = 250.0\nn4 = 10.0\nt0 = n4 + 100.0\nt1 = n2 + n3\nt2 = n0 * 100.0\nt3 = 100.0 - n1\nt4 = t2 / t3\nt5 = t1 + t4\nt6 = t0 * t5\nanswer = t6 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "18975" - ], - "split": "train" - }, - { - "Input": "the profits of qrs company rose 35 % from march to april , then dropped 20 % from april to may , then rose 50 % from may to june . what was the percent increase for the whole quarter , from march to june ?", - "Output Program": [ - "n0 = 35.0\nn1 = 20.0\nn2 = 50.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 + 1.0\nt4 = t1 + 1.0\nt5 = 1.0 - t2\nt6 = t4 * t5\nt7 = t3 * t6\nt8 = t7 - 1.0\nanswer = t8 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "62.000000000000014" - ], - "split": "train" - }, - { - "Input": "what quantity of water should taken out to concentrate 18 liters of 40 % acidic liquid to 60 % acidic liquid ?", - "Output Program": [ - "n0 = 18.0\nn1 = 40.0\nn2 = 60.0\nt0 = n0 * n1\nt1 = t0 / n2\nanswer = n0 - t1\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "a bowl was half full of water . 4 cups of water were then added to the bowl , filling the bowl to 70 % of its capacity . how many cups of water are now in the bowl ?", - "Output Program": [ - "n0 = 4.0\nn1 = 70.0\nt0 = n1 / 100.0\nt1 = 100.0 / 2.0\nt2 = n0 * 100.0\nt3 = t1 / 100.0\nt4 = t0 - t3\nt5 = t4 * 100.0\nt6 = t2 / t5\nanswer = t0 * t6\nprint(answer)" - ], - "Output Answer": [ - "14.000000000000002" - ], - "split": "train" - }, - { - "Input": "fox jeans regularly sell for $ 10 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 9 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discounts rates is 22 percent , what is the discount rate on pony jeans ?", - "Output Program": [ - "n0 = 10.0\nn1 = 18.0\nn2 = 9.0\nn3 = 5.0\nn4 = 3.0\nn5 = 2.0\nn6 = 22.0\nt0 = n6 / 100.0\nt1 = n1 * n5\nt2 = n0 * n4\nt3 = t0 * t1\nt4 = t2 - t1\nt5 = n2 - t3\nt6 = t5 / t4\nt7 = t0 - t6\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "ravish has to secure 40 % marks to clear his board exam of class 10 th . he got 40 marks and failed by 40 marks . what is the maximum marks ?", - "Output Program": [ - "n0 = 40.0\nn1 = 10.0\nn2 = 40.0\nn3 = 40.0\nt0 = n0 + n0\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "the length of a rectangular floor is more than its breadth by 200 % . if rs . 624 is required to paint the floor at the rate of rs . 4 per sq m , then what would be the length of the floor ?", - "Output Program": [ - "import math\nn0 = 200.0\nn1 = 624.0\nn2 = 4.0\nt0 = n1 / n2\nt1 = t0 / 3.0\nt2 = math.sqrt(max(0, t1))\nanswer = t2 * 3.0\nprint(answer)" - ], - "Output Answer": [ - "21.633307652783934" - ], - "split": "train" - }, - { - "Input": "a certain company \u2019 s profit in 1996 was 10 percent greater than its profit in 1995 , and its profit in 1997 was 20 percent greater than its profit in 1996 . the company \u2019 s profit in 1997 was what percent greater than its profit in 1995 ?", - "Output Program": [ - "n0 = 1996.0\nn1 = 10.0\nn2 = 1995.0\nn3 = 1997.0\nn4 = 20.0\nn5 = 1996.0\nn6 = 1997.0\nn7 = 1995.0\nt0 = n4 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "32.00000000000001" - ], - "split": "train" - }, - { - "Input": "if price of t . v set is reduced by 25 % , then its sale increases by 75 % , find net effect on sale value", - "Output Program": [ - "n0 = 25.0\nn1 = 75.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t1 / 100.0\nt3 = t0 / 100.0\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "31.25" - ], - "split": "train" - }, - { - "Input": "the c . p of 8 books is equal to the s . p of 16 books . find his gain % or loss % ?", - "Output Program": [ - "n0 = 8.0\nn1 = 16.0\nt0 = n0 / n1\nt1 = 1.0 - t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "in order to obtain an income of rs . 900 from 20 % stock at rs . 102 , one must make an investment of", - "Output Program": [ - "n0 = 900.0\nn1 = 20.0\nn2 = 102.0\nt0 = n2 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "4590" - ], - "split": "train" - }, - { - "Input": "an investment compounds annually at an interest rate of 33.34 % what is the smallest investment period by which time the investment will more than triple in value ?", - "Output Program": [ - "import math\nn0 = 33.34\nt0 = n0 / 100.0\nt1 = math.log(max(1e-5, 3.0), 2)\nt2 = t0 + 1.0\nt3 = math.log(max(1e-5, t2), 2)\nt4 = t1 / t3\nt5 = math.floor(t4)\nanswer = t5 + 1.0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "a man took a loan at rate of 12 % per annum simple interest . after 3 years he had to pay 5400 interest . the principal amount borrowed by him was .", - "Output Program": [ - "n0 = 12.0\nn1 = 3.0\nn2 = 5400.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "15000" - ], - "split": "train" - }, - { - "Input": "a candidate got 35 % of the votes polled and he lost to his rival by 2280 votes . how many votes were cast ?", - "Output Program": [ - "n0 = 35.0\nn1 = 2280.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "7599.999999999999" - ], - "split": "train" - }, - { - "Input": "fresh grapes contain 75 % by weight while dried grapes contain 25 % water by weight . what is the weight of dry grapes available from 200 kg of fresh grapes ?", - "Output Program": [ - "n0 = 75.0\nn1 = 25.0\nn2 = 200.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = n2 * t0\nt3 = t2 / 100.0\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "66.66666666666666" - ], - "split": "train" - }, - { - "Input": "if the cost price of 72 articles is equal to the selling price of 60 articles , then what is the percent profit ?", - "Output Program": [ - "n0 = 72.0\nn1 = 60.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = 100.0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20.000000000000007" - ], - "split": "train" - }, - { - "Input": "of the votes cast on a certain proposal , 68 more were in favor of the proposal than were against it . if the number of votes against the proposal was 40 percent of the total vote , what was the total number of votes cast ? ( each vote cast was either in favor of the proposal or against it . )", - "Output Program": [ - "n0 = 68.0\nn1 = 40.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "340.00000000000006" - ], - "split": "train" - }, - { - "Input": "the cost of an article is decreased by 50 % . if the original cost is $ 200 , find the decrease cost .", - "Output Program": [ - "n0 = 50.0\nn1 = 200.0\nt0 = n0 * n1\nanswer = t0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "what profit percent is made by selling an article at a certain price , if by selling at 2 / 3 rd of that price , there would be a loss of 10 % ?", - "Output Program": [ - "n0 = 2.0\nn1 = 3.0\nn2 = 10.0\nt0 = n0 / n1\nt1 = 100.0 - n2\nt2 = t1 / t0\nanswer = t2 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "35" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article offering a discount of 4 % and earned a profit of 44 % . what would have been the percentage of profit earned if no discount was offered ?", - "Output Program": [ - "n0 = 4.0\nn1 = 44.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * 100.0\nt3 = t2 / t1\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "on a sum of money , the s . i . for 2 years is $ 600 , while the c . i . is $ 612 , the rate of interest being the same in both the cases . the rate of interest is ?", - "Output Program": [ - "n0 = 2.0\nn1 = 600.0\nn2 = 612.0\nt0 = n1 / n0\nt1 = n2 - n1\nt2 = t1 * 100.0\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "in a school of 850 boys , 44 % of muslims , 14 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?", - "Output Program": [ - "n0 = 850.0\nn1 = 44.0\nn2 = 14.0\nn3 = 10.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = 100.0 - t1\nt3 = n0 * t2\nanswer = t3 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "272" - ], - "split": "train" - }, - { - "Input": "on a purchase of $ 127 , a store offered a payment plan consisting of a $ 27 down payment and 12 monthly payments of $ 10 each . what percent of the purchase price , to the nearest tenth of a percent , did the customer pay in interest by using this plan ?", - "Output Program": [ - "n0 = 127.0\nn1 = 27.0\nn2 = 12.0\nn3 = 10.0\nt0 = n2 * n3\nt1 = n1 + t0\nt2 = t1 - t0\nt3 = t2 / n0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "21.25984251968504" - ], - "split": "train" - }, - { - "Input": "what is the rate percent when the simple interest on rs . 900 amount to rs . 160 in 4 years ?", - "Output Program": [ - "n0 = 900.0\nn1 = 160.0\nn2 = 4.0\nt0 = n1 * 100.0\nt1 = n0 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "4.444444444444445" - ], - "split": "train" - }, - { - "Input": "a family made a down payment of $ 300 and borrowed the balance on a set of encyclopedias that cost $ 750 . the balance with interest was paid in 9 monthly payments of $ 57 each and a final payment of $ 21 . the amount of interest paid was what percent of the amount borrowed ?", - "Output Program": [ - "n0 = 300.0\nn1 = 750.0\nn2 = 9.0\nn3 = 57.0\nn4 = 21.0\nt0 = n2 * n3\nt1 = n1 - n0\nt2 = n4 + t0\nt3 = t2 - t1\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "18.666666666666668" - ], - "split": "train" - }, - { - "Input": "in an examination 35 % of the students passed and 260 failed . how many students appeared for the examination ?", - "Output Program": [ - "n0 = 35.0\nn1 = 260.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "at the end of the first quarter , the share price of a certain mutual fund was 20 percent higher than it was at the beginning of the year . at the end of the second quarter , the share price was 60 percent higher than it was at the beginning of the year . what was the percent increase in the share price from the end of the first quarter to the end of the second quarter ?", - "Output Program": [ - "n0 = 20.0\nn1 = 60.0\nt0 = n1 + 100.0\nt1 = n0 + 100.0\nt2 = t0 / t1\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "train" - }, - { - "Input": "a , b and c enter into a partnership . a invests 3 times as much as b invests and 2 / 3 of what c invests . at the end of the year , the profit earned is rs . 55000 . what is the share of c ?", - "Output Program": [ - "n0 = 3.0\nn1 = 2.0\nn2 = 3.0\nn3 = 55000.0\nt0 = n1 / n0\nt1 = n0 * t0\nt2 = t0 + t1\nt3 = t2 + 1.0\nt4 = 1 / t3\nanswer = n3 * t4\nprint(answer)" - ], - "Output Answer": [ - "15000.000000000002" - ], - "split": "train" - }, - { - "Input": "a certain sum is invested at simple interest at 18 % p . a . for two years instead of investing at 12 % p . a . for the same time period . therefore the interest received is more by rs . 600 . find the sum ?", - "Output Program": [ - "n0 = 18.0\nn1 = 12.0\nn2 = 600.0\nt0 = n0 - n1\nt1 = t0 * 2.0\nt2 = t1 / 100.0\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "5000" - ], - "split": "train" - }, - { - "Input": "in an office in singapore there are 60 % female employees . 50 % of all the male employees are computer literate . if there are total 62 % employees computer literate out of total 1400 employees , then the no . of female employees who are computer literate ?", - "Output Program": [ - "n0 = 60.0\nn1 = 50.0\nn2 = 62.0\nn3 = 1400.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 / 100.0\nt3 = 1.0 - t2\nt4 = t1 * t3\nt5 = t0 - t4\nanswer = n3 * t5\nprint(answer)" - ], - "Output Answer": [ - "588" - ], - "split": "train" - }, - { - "Input": "sales price is $ 81 , gross profit is 170 % of cost , what is the value of gross profit ?", - "Output Program": [ - "n0 = 81.0\nn1 = 170.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n0 / t1\nanswer = n0 - t2\nprint(answer)" - ], - "Output Answer": [ - "51" - ], - "split": "train" - }, - { - "Input": "a reduction of 30 % in the price of apples would enable a man to obtain 54 more for rs . 30 , what is reduced price per dozen ?", - "Output Program": [ - "n0 = 30.0\nn1 = 54.0\nn2 = 30.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nt2 = t1 / n1\nanswer = t2 * 12.0\nprint(answer)" - ], - "Output Answer": [ - "2" - ], - "split": "train" - }, - { - "Input": "if the cost price is 95 % of selling price then what is the profit percentage .", - "Output Program": [ - "n0 = 95.0\nt0 = 100.0 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "5.263157894736842" - ], - "split": "train" - }, - { - "Input": "one fourth of a solution that was 10 % sugar by weight was replaced by a second solution resulting in a solution that was 20 percent sugar by weight . the second solution was what percent sugar by weight ?", - "Output Program": [ - "n0 = 10.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 / 4.0\nt3 = t0 * 100.0\nt4 = t2 * 100.0\nt5 = 100.0 - t4\nt6 = t1 * t5\nt7 = t3 - t6\nt8 = t7 / t4\nanswer = t8 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a grocer purchased a quantity of bananas at 3 pounds for $ 0.50 and sold the entire quantity at 4 pounds for $ 1.00 . how many pounds did the grocer purchase if the profit from selling the bananas was $ 8.00 ?", - "Output Program": [ - "n0 = 3.0\nn1 = 0.5\nn2 = 4.0\nn3 = 1.0\nn4 = 8.0\nt0 = n3 / n2\nt1 = n1 / n0\nt2 = t0 - t1\nanswer = n4 / t2\nprint(answer)" - ], - "Output Answer": [ - "95.99999999999999" - ], - "split": "train" - }, - { - "Input": "the salaries of a and b together is rs . 14000 . a spend 80 % of his salary and b spends 85 % of his salary . what is the salary of b if their savings are equal ?", - "Output Program": [ - "n0 = 14000.0\nn1 = 80.0\nn2 = 85.0\nt0 = 1.0 + 1.0\nt1 = n1 / 100.0\nt2 = n2 / 100.0\nt3 = n0 * t1\nt4 = t0 - t1\nt5 = n0 - t3\nt6 = t4 - t2\nanswer = t5 / t6\nprint(answer)" - ], - "Output Answer": [ - "8000.000000000001" - ], - "split": "train" - }, - { - "Input": "a man buys 52 pens at marked price of 46 pens from a whole seller . if he sells these pens giving a discount of 1 % , what is the profit percent ?", - "Output Program": [ - "n0 = 52.0\nn1 = 46.0\nn2 = 1.0\nt0 = n1 * 100.0\nt1 = 100.0 - n2\nt2 = n0 * t1\nt3 = t2 - t0\nt4 = t3 / t0\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "11.91304347826087" - ], - "split": "train" - }, - { - "Input": "a , b and c enter into a partnership by investing $ 11000 , $ 15000 and $ 23000 respectively . at the end of 8 months , b receives $ 3315 as his share . find the share of a .", - "Output Program": [ - "n0 = 11000.0\nn1 = 15000.0\nn2 = 23000.0\nn3 = 8.0\nn4 = 3315.0\nt0 = n1 * n3\nt1 = t0 / 100.0\nt2 = n4 / t1\nt3 = n0 * t2\nt4 = n3 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "2431.0000000000005" - ], - "split": "train" - }, - { - "Input": "a reduction of 35 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 800 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 35.0\nn1 = 5.0\nn2 = 800.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "56" - ], - "split": "train" - }, - { - "Input": "a dessert recipe calls for 50 % melted chocolate and 50 % raspberry puree to make a particular sauce . a chef accidentally makes 15 cups of the sauce with 40 % melted chocolate and 60 % raspberry puree instead . how many cups of the sauce does he need to remove and replace with pure melted chocolate to make the sauce the proper 50 % of each ?", - "Output Program": [ - "n0 = 50.0\nn1 = 50.0\nn2 = 15.0\nn3 = 40.0\nn4 = 60.0\nn5 = 50.0\nt0 = n0 + n0\nt1 = n0 - n3\nt2 = t0 - n0\nt3 = t2 / t1\nanswer = t3 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "2.5" - ], - "split": "train" - }, - { - "Input": "anand and deepak started a business investing rs . 2250 and rs . 3200 respectively . out of a total profit of rs . 1380 , deepak ' s share is :", - "Output Program": [ - "n0 = 2250.0\nn1 = 3200.0\nn2 = 1380.0\nt0 = n0 + n1\nt1 = n1 / t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "810.2752293577983" - ], - "split": "train" - }, - { - "Input": "if the cost price is 92 % of sp then what is the profit %", - "Output Program": [ - "n0 = 92.0\nt0 = 100.0 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "8.695652173913043" - ], - "split": "train" - }, - { - "Input": "the banker ' s gain on a sum due 3 years hence at 12 % per annum is rs . 270 . the banker ' s discount is :", - "Output Program": [ - "n0 = 3.0\nn1 = 12.0\nn2 = 270.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nt2 = t0 / t1\nanswer = n2 + t2\nprint(answer)" - ], - "Output Answer": [ - "1020" - ], - "split": "train" - }, - { - "Input": "by selling 150 apples , a fruit - seller gains the selling price of 30 apples . find the gain percent ?", - "Output Program": [ - "n0 = 150.0\nn1 = 30.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "a man invested rs . 14400 in rs . 100 shares of a company at 20 % premium . if the company declares 7 % dividend at the end of the year , then how much does he get ?", - "Output Program": [ - "n0 = 14400.0\nn1 = 100.0\nn2 = 20.0\nn3 = 7.0\nt0 = n3 / 100.0\nt1 = n2 / 100.0\nt2 = 10.0 * 1000.0\nt3 = 1000.0 * 4.0\nt4 = 100.0 * 4.0\nt5 = t2 + t3\nt6 = n1 * t1\nt7 = t5 + t4\nt8 = n1 + t6\nt9 = t7 / t8\nt10 = n1 * t9\nanswer = t0 * t10\nprint(answer)" - ], - "Output Answer": [ - "840.0000000000001" - ], - "split": "train" - }, - { - "Input": "if the annual increase in the population of a town is 10 % and the present number of people is 11000 , what will the population be in 2 years ?", - "Output Program": [ - "n0 = 10.0\nn1 = 11000.0\nn2 = 2.0\nt0 = n0 + 100.0\nt1 = t0 / 100.0\nt2 = n1 * t1\nanswer = t1 * t2\nprint(answer)" - ], - "Output Answer": [ - "13310.000000000004" - ], - "split": "train" - }, - { - "Input": "the owner of a furniture shop charges his customer 15 % more than the cost price . if a customer paid rs . 6400 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 15.0\nn1 = 6400.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "5565.217391304348" - ], - "split": "train" - }, - { - "Input": "the price of a t . v . set worth rs . 20000 is to be paid in 20 installments of rs . 1000 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ?", - "Output Program": [ - "n0 = 20000.0\nn1 = 20.0\nn2 = 1000.0\nn3 = 6.0\n\nanswer = n0 - n2\nprint(answer)" - ], - "Output Answer": [ - "19000" - ], - "split": "train" - }, - { - "Input": "a group of students was interviewed for that if it was asked whether or not they speak french and / or english . among those who speak french , 30 speak english well , while 40 of them do not speak english . if 86 % of students do not speak french , how many students were surveyed ?", - "Output Program": [ - "n0 = 30.0\nn1 = 40.0\nn2 = 86.0\nt0 = n0 + n1\nt1 = 100.0 - n2\nt2 = t1 / 100.0\nanswer = t0 / t2\nprint(answer)" - ], - "Output Answer": [ - "499.99999999999994" - ], - "split": "train" - }, - { - "Input": "during a certain season , a team won 85 percent of its first 100 games and 50 percent of its remaining games . if the team won 70 percent of its games for the entire season , what was the total number of games that the team played ?", - "Output Program": [ - "n0 = 85.0\nn1 = 100.0\nn2 = 50.0\nn3 = 70.0\nt0 = n3 / n1\nt1 = n2 / n1\nt2 = n0 - n3\nt3 = t0 - t1\nt4 = t2 / t3\nanswer = n1 + t4\nprint(answer)" - ], - "Output Answer": [ - "175" - ], - "split": "train" - }, - { - "Input": "how many ounces of a 60 % salt solution must be added to 50 ounces of a 20 percent salt solution so that the resulting mixture is 40 % salt ?", - "Output Program": [ - "n0 = 60.0\nn1 = 50.0\nn2 = 20.0\nn3 = 40.0\nt0 = n3 / 100.0\nt1 = n2 / 100.0\nt2 = n1 * t0\nt3 = n1 * t1\nt4 = t0 - t1\nt5 = t2 - t3\nanswer = t5 / t4\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "at what price must an article costing rs . 47.50 be marked in order that after deducting 8 % from the list price . it may be sold at a profit of 25 % on the cost price ?", - "Output Program": [ - "n0 = 47.5\nn1 = 8.0\nn2 = 25.0\nt0 = n0 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 + t2\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "64.53804347826087" - ], - "split": "train" - }, - { - "Input": "the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 9 . if p invested the money for 5 months , find for how much time did q invest the money ?", - "Output Program": [ - "n0 = 7.0\nn1 = 5.0\nn2 = 7.0\nn3 = 9.0\nn4 = 5.0\nt0 = n0 / n1\nt1 = n3 / n2\nt2 = t0 * t1\nanswer = n4 * t2\nprint(answer)" - ], - "Output Answer": [ - "9" - ], - "split": "train" - }, - { - "Input": "what annual installment will discharge a debt of $ 100 due in 3 years at 10 % simple interest ?", - "Output Program": [ - "n0 = 100.0\nn1 = 3.0\nn2 = 10.0\nt0 = n2 / 100.0\nt1 = n0 * t0\nanswer = n1 * t1\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "a sum fetched total simple interest of 4016.25 at the rate of 13 p . c . p . a . in 5 years . what is the sum ?", - "Output Program": [ - "n0 = 4016.25\nn1 = 13.0\nn2 = 5.0\nt0 = n0 * 100.0\nt1 = n1 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "6178.846153846154" - ], - "split": "train" - }, - { - "Input": "if a population of women in a town is 90 % of men . what is the population of men as a % of population of women ?", - "Output Program": [ - "n0 = 90.0\nt0 = 100.0 / n0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "111.11111111111111" - ], - "split": "train" - }, - { - "Input": "if tim had lunch at $ 50.20 and he gave 20 % tip , how much did he spend ?", - "Output Program": [ - "n0 = 50.2\nn1 = 20.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "60.24" - ], - "split": "train" - }, - { - "Input": "a chemical supply company has 60 liters of a 25 % hno 3 solution . how many liters of pure undiluted hno 3 must the chemists add so that the resultant solution is a 50 % solution ?", - "Output Program": [ - "n0 = 60.0\nn1 = 25.0\nn2 = 3.0\nn3 = 3.0\nn4 = 50.0\nt0 = n0 / 2.0\nt1 = n0 * n1\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = t3 * 2.0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "mohit sold an article for $ 12000 . had he offered a discount of 10 % on the selling price , he would have earned a profit of 8 % . what is the cost price of the article ?", - "Output Program": [ - "n0 = 12000.0\nn1 = 10.0\nn2 = 8.0\nt0 = n2 + 100.0\nt1 = n0 * n1\nt2 = t1 / 100.0\nt3 = n0 - t2\nt4 = t3 / t0\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10000" - ], - "split": "train" - }, - { - "Input": "what profit percent is made by selling an article at a certain price , if by selling at 1 / 2 rd of that price , there would be a loss of 20 % ?", - "Output Program": [ - "n0 = 1.0\nn1 = 2.0\nn2 = 20.0\nt0 = n0 / n1\nt1 = 100.0 - n2\nt2 = t1 / t0\nanswer = t2 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "by selling an article at rs . 400 , a profit of 25 % is made . find its cost price ?", - "Output Program": [ - "n0 = 400.0\nn1 = 25.0\nt0 = n1 + 100.0\nt1 = n0 * 100.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "320" - ], - "split": "train" - }, - { - "Input": "a 9 % stock yields 25 % . the market value of the stock is :", - "Output Program": [ - "n0 = 9.0\nn1 = 25.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "36" - ], - "split": "train" - }, - { - "Input": "ajay bought 15 kg of dal at the rate of rs 14.50 per kg and 10 kg at the rate of rs 13 per kg . he mixed the two and sold the mixture at the rate of rs 15 per kg . what was his total gain in this transaction ?", - "Output Program": [ - "n0 = 15.0\nn1 = 14.5\nn2 = 10.0\nn3 = 13.0\nn4 = 15.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n3\nt3 = t1 + t2\nt4 = n0 * t0\nanswer = t4 - t3\nprint(answer)" - ], - "Output Answer": [ - "27.5" - ], - "split": "train" - }, - { - "Input": "a small company reduced its faculty by approximately 20 percent to 195 employees . what was the original number of employees ?", - "Output Program": [ - "n0 = 20.0\nn1 = 195.0\nt0 = 100.0 - n0\nt1 = t0 / 100.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "243.75" - ], - "split": "train" - }, - { - "Input": "in the fifth grade at parkway elementary school there are 420 students . 320 students are boys and 250 students are playing soccer . 86 % of the students that play soccer are boys . how many girl student are in parkway that is not playing soccer ?", - "Output Program": [ - "n0 = 420.0\nn1 = 320.0\nn2 = 250.0\nn3 = 86.0\nt0 = n2 * n3\nt1 = n0 - n1\nt2 = t0 / 100.0\nt3 = n2 - t2\nanswer = t1 - t3\nprint(answer)" - ], - "Output Answer": [ - "65" - ], - "split": "train" - }, - { - "Input": "p and q invested in a shop . the profits were divided in the ratio of 2 : 4 respectively . if p invested rs . 500000 , the amount invested by q is :", - "Output Program": [ - "n0 = 2.0\nn1 = 4.0\nn2 = 500000.0\nt0 = n2 / n0\nanswer = n1 * t0\nprint(answer)" - ], - "Output Answer": [ - "1000000" - ], - "split": "train" - }, - { - "Input": "peter invests a sum of money and gets back an amount of $ 815 in 3 years . david invests an equal amount of money and gets an amount of $ 870 in 4 years . if both amounts were invested at the same rate ( simple interest ) what was the sum of money invested ?", - "Output Program": [ - "n0 = 815.0\nn1 = 3.0\nn2 = 870.0\nn3 = 4.0\nt0 = n3 / 100.0\nt1 = n1 / 100.0\nt2 = n2 - n0\nt3 = t0 - t1\nt4 = t2 / t3\nt5 = t4 * t1\nanswer = n0 - t5\nprint(answer)" - ], - "Output Answer": [ - "650" - ], - "split": "train" - }, - { - "Input": "a , b and c enter into a partnership by investing $ 15000 , $ 21000 and $ 27000 respectively . at the end of 8 months , b receives $ 1540 as his share . find the share of a .", - "Output Program": [ - "n0 = 15000.0\nn1 = 21000.0\nn2 = 27000.0\nn3 = 8.0\nn4 = 1540.0\nt0 = n1 * n3\nt1 = t0 / 100.0\nt2 = n4 / t1\nt3 = n0 * t2\nt4 = n3 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1100" - ], - "split": "train" - }, - { - "Input": "if a sum of money doubles itself in 8 years at simple interest , the ratepercent per annum is", - "Output Program": [ - "n0 = 8.0\nt0 = n0 / 100.0\nt1 = 2.0 / t0\nanswer = t1 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "12.5" - ], - "split": "train" - }, - { - "Input": "a has 10000 chocolates . 20 % of the chocolates are eaten . what percentage of the uneaten chocolates must be eaten so that 3 / 2 of all chocolates are eaten ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 20.0\nn2 = 3.0\nn3 = 2.0\nt0 = n0 / n3\nt1 = n0 * n1\nt2 = t1 / 100.0\nt3 = t0 - t2\nt4 = n0 - t2\nt5 = t3 * 100.0\nanswer = t5 / t4\nprint(answer)" - ], - "Output Answer": [ - "37.5" - ], - "split": "train" - }, - { - "Input": "rs . 825 becomes rs . 956 in 3 years at a certain rate of simple interest . if the rate of interest is increased by 4 % , what amount will rs . 825 become in 3 years ?", - "Output Program": [ - "n0 = 825.0\nn1 = 956.0\nn2 = 3.0\nn3 = 4.0\nn4 = 825.0\nn5 = 3.0\nt0 = n0 * n2\nt1 = n1 - n0\nt2 = t1 * 100.0\nt3 = t2 / t0\nt4 = n3 + t3\nt5 = n0 * t4\nt6 = n2 * t5\nt7 = t6 / 100.0\nanswer = n0 + t7\nprint(answer)" - ], - "Output Answer": [ - "1055" - ], - "split": "train" - }, - { - "Input": "mahesh marks an article 15 % above the cost price of rs . 540 . what must be his discount percentage if he sells it at rs . 496.80 ?", - "Output Program": [ - "n0 = 15.0\nn1 = 540.0\nn2 = 496.8\nt0 = n0 + 100.0\nt1 = t0 / 100.0\nt2 = n1 * t1\nt3 = t2 - n2\nt4 = t3 * 100.0\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "19.999999999999996" - ], - "split": "train" - }, - { - "Input": "a company pays 12.5 % dividend to its investors . if an investor buys rs . 40 shares and gets 25 % on investment , at what price did the investor buy the shares ?", - "Output Program": [ - "n0 = 12.5\nn1 = 40.0\nn2 = 25.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = t1 * 100.0\nanswer = t2 / n2\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "jill invests $ 10000 in an account that pays an annual rate of 3.96 % , compounding semi - annually . approximately how much does she have in her account after two years ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 3.96\nt0 = n1 / 100.0\nt1 = t0 / 2.0\nt2 = t1 + 1.0\nt3 = t2**min(4.0, 5)\nanswer = n0 * t3\nprint(answer)" - ], - "Output Answer": [ - "10815.834432633617" - ], - "split": "train" - }, - { - "Input": "the population of a town increases 25 % and 15 % respectively in two consecutive years . after the growth the present population of the town is 1150 . then what is the population of the town 2 years ago ?", - "Output Program": [ - "n0 = 25.0\nn1 = 15.0\nn2 = 1150.0\nn3 = 2.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "train" - }, - { - "Input": "company p had 15 percent more employees in december than it had in january . if company p had 490 employees in december , how many employees did it have in january ?", - "Output Program": [ - "n0 = 15.0\nn1 = 490.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "426.0869565217392" - ], - "split": "train" - }, - { - "Input": "the present worth of rs . 1404 due in two equal half - yearly instalments at 8 % per annum simple interest is :", - "Output Program": [ - "n0 = 1404.0\nn1 = 8.0\nt0 = n1 + 100.0\nt1 = n0 / 2.0\nt2 = n1 / 2.0\nt3 = t2 + 100.0\nt4 = t0 / 100.0\nt5 = t1 / t4\nt6 = t3 / 100.0\nt7 = t1 / t6\nanswer = t5 + t7\nprint(answer)" - ], - "Output Answer": [ - "1325" - ], - "split": "train" - }, - { - "Input": "20 percent of andrea ' s living room floor is covered by a carpet that is 4 feet by 9 feet . what is the area of her living room floor ?", - "Output Program": [ - "n0 = 20.0\nn1 = 4.0\nn2 = 9.0\nt0 = n0 / 100.0\nt1 = n1 * n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "180" - ], - "split": "train" - }, - { - "Input": "a person lent a certain sum of money at 6 % per annum at simple interest and in 8 years the interest amounted to $ 520 less than the sum lent . what was the sum lent ?", - "Output Program": [ - "n0 = 6.0\nn1 = 8.0\nn2 = 520.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "train" - }, - { - "Input": "240 is increased by 20 % . find the final number .", - "Output Program": [ - "n0 = 240.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "288" - ], - "split": "train" - }, - { - "Input": "two persons start at the same point , walk in opposite directions with 6 km / hr and 7 km / hr respectively . what is the distance separated after 3 and half hrs ?", - "Output Program": [ - "n0 = 6.0\nn1 = 7.0\nn2 = 3.0\nt0 = 2.0 / 4.0\nt1 = n2 + t0\nt2 = n0 * t1\nt3 = n1 * t1\nanswer = t2 + t3\nprint(answer)" - ], - "Output Answer": [ - "45.5" - ], - "split": "train" - }, - { - "Input": "there are two concentric circles with radii 8 and 4 . if the radius of the outer circle is increased by 25 % and the radius of the inner circle decreased by 25 % , by what percent does the area between the circles increase ?", - "Output Program": [ - "n0 = 8.0\nn1 = 4.0\nn2 = 25.0\nn3 = 25.0\nt0 = n2 + 100.0\nt1 = n0**min(2.0, 5)\nt2 = n1**min(2.0, 5)\nt3 = 100.0 - n3\nt4 = t0 / 100.0\nt5 = t3 / 100.0\nt6 = t1 - t2\nt7 = n0 * t4\nt8 = n1 * t5\nt9 = t7**min(2.0, 5)\nt10 = t8**min(2.0, 5)\nt11 = t9 - t10\nt12 = t11 - t6\nt13 = t12 / t6\nanswer = t13 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "89.58333333333334" - ], - "split": "train" - }, - { - "Input": "a present value of a machine is $ 900 . its value depletion rate is 10 % per annum then find the machine value after 2 years ?", - "Output Program": [ - "n0 = 900.0\nn1 = 10.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "729" - ], - "split": "train" - }, - { - "Input": "two numbers are less than a third number by 30 % and 37 % . how much percent is the second number is less than the first ?", - "Output Program": [ - "n0 = 30.0\nn1 = 37.0\nt0 = n0 + 1.0\nt1 = t0 - n0\nanswer = t1 * 10.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "there are 300 seniors at morse high school , and 40 % of them have cars . of the remaining grades ( freshmen , sophomores , and juniors ) , only 10 % of them have cars . if 15 % of all the students at morse have cars , how many students are in those other 3 lower grades ?", - "Output Program": [ - "n0 = 300.0\nn1 = 40.0\nn2 = 10.0\nn3 = 15.0\nn4 = 3.0\n\nanswer = n3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "1500" - ], - "split": "train" - }, - { - "Input": "a retailer buys 140 pens at the market price of 36 pens from a wholesaler , if he sells these pens giving a discount of 1 % , what is the profit % ?", - "Output Program": [ - "n0 = 140.0\nn1 = 36.0\nn2 = 1.0\nt0 = n2 / 100.0\nt1 = n1 / n0\nt2 = n2 - t0\nt3 = t2 - t1\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "285.00000000000006" - ], - "split": "train" - }, - { - "Input": "a car dealership has 40 cars on the lot , 20 % of which are silver . if the dealership receives a new shipment of 80 cars , 35 % of which are not silver , what percentage of total number of cars are silver ?", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nn2 = 80.0\nn3 = 35.0\nt0 = n0 + n2\nt1 = n1 / 100.0\nt2 = n3 / 100.0\nt3 = n0 * t1\nt4 = n2 * t2\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "an alloy weighing 48 ounces is 25 % gold . how many ounces of pure gold must be added to create an alloy that is 40 % gold ?", - "Output Program": [ - "n0 = 48.0\nn1 = 25.0\nn2 = 40.0\nt0 = n2 - n1\nt1 = n0 * t0\nt2 = t1 / 12.0\nanswer = t2 - n0\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "train" - }, - { - "Input": "a certain sum is invested at simple interest at 15 % p . a . for two years instead of investing at 12 % p . a . for the same time period . therefore the interest received is more by rs . 420 . find the sum ?", - "Output Program": [ - "n0 = 15.0\nn1 = 12.0\nn2 = 420.0\nt0 = n0 - n1\nt1 = t0 * 2.0\nt2 = t1 / 100.0\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "7000" - ], - "split": "train" - }, - { - "Input": "find the missing figures : 0.50 % of ? = 0.12", - "Output Program": [ - "n0 = 0.5\nn1 = 0.12\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "24" - ], - "split": "train" - }, - { - "Input": "how many liters of water must be evaporated from 50 liters of a 1 - percent sugar solution to get a 10 - percent solution ?", - "Output Program": [ - "n0 = 50.0\nn1 = 1.0\nn2 = 10.0\nt0 = n0 / 100.0\nt1 = n2 * t0\nanswer = n0 - t1\nprint(answer)" - ], - "Output Answer": [ - "45" - ], - "split": "train" - }, - { - "Input": "raman mixed 27 kg of butter at rs . 150 per kg with 36 kg butter at the rate of rs . 125 per kg . at what price per kg should he sell the mixture to make a profit of 40 % in the transaction ?", - "Output Program": [ - "n0 = 27.0\nn1 = 150.0\nn2 = 36.0\nn3 = 125.0\nn4 = 40.0\nt0 = n0 + n2\nt1 = n4 / 100.0\nt2 = n0 * n1\nt3 = n2 * n3\nt4 = t2 + t3\nt5 = t4 / t0\nt6 = t5 * t1\nanswer = t5 + t6\nprint(answer)" - ], - "Output Answer": [ - "190" - ], - "split": "train" - }, - { - "Input": "a side of beef lost 40 percent of its weight in processing . if the side of beef weighed 240 pounds after processing , how many pounds did it weigh before processing ?", - "Output Program": [ - "n0 = 40.0\nn1 = 240.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "the owner of a furniture shop charges his customer 20 % more than the cost price . if a customer paid rs . 8337 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 20.0\nn1 = 8337.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "6947.5" - ], - "split": "train" - }, - { - "Input": "money invested at x % , compounded annually , triples in value in approximately every 112 / x years . if $ 2200 is invested at a rate of 8 % , compounded annually , what will be its approximate worth in 28 years ?", - "Output Program": [ - "n0 = 112.0\nn1 = 2200.0\nn2 = 8.0\nn3 = 28.0\nt0 = n0 / n2\nt1 = n3 / t0\nt2 = 3.0**min(t1, 5)\nanswer = n1 * t2\nprint(answer)" - ], - "Output Answer": [ - "19800" - ], - "split": "train" - }, - { - "Input": "a dishonest dealer professes to sell goods at the cost price but uses a weight of 896 grams per kg , what is his percent ?", - "Output Program": [ - "n0 = 896.0\nt0 = 2.0 + 3.0\nt1 = 100.0 / n0\nt2 = t0 * 2.0\nt3 = t2 * 100.0\nt4 = t1 * t3\nanswer = t4 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "11.607142857142861" - ], - "split": "train" - }, - { - "Input": "a man spends 50 % of his income on food , 15 % on children education and 50 % of the remaining on house rent . what percent of his income he is left with ?", - "Output Program": [ - "n0 = 50.0\nn1 = 15.0\nn2 = 50.0\nt0 = 100.0 - n0\nt1 = 100.0 - n2\nt2 = t0 - n1\nt3 = t2 * t1\nanswer = t3 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "17.5" - ], - "split": "train" - }, - { - "Input": "the length of a rectangular floor is more than its breadth by 200 % . if rs . 400 is required to paint the floor at the rate of rs . 3 / sq m , what would be the length of the floor ?", - "Output Program": [ - "import math\nn0 = 200.0\nn1 = 400.0\nn2 = 3.0\nt0 = n1 / n2\nt1 = t0 / 3.0\nt2 = math.sqrt(max(0, t1))\nanswer = t2 * 3.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "if the cost price of 44 chocolates is equal to the selling price of 24 chocolates , the gain percent is :", - "Output Program": [ - "n0 = 44.0\nn1 = 24.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = 100.0 / t1\nprint(answer)" - ], - "Output Answer": [ - "83.33333333333334" - ], - "split": "train" - }, - { - "Input": "90 percent of your marbles are a solid color . 5 percent of your marbles are solid yellow . what percentage of your marbles are a solid color other than yellow ?", - "Output Program": [ - "n0 = 90.0\nn1 = 5.0\n\nanswer = n0 - n1\nprint(answer)" - ], - "Output Answer": [ - "85" - ], - "split": "train" - }, - { - "Input": "a car is purchased on hire - purchase . the cash price is $ 22 000 and the terms are a deposit of 10 % of the price , then the balance to be paid off over 60 equal monthly installments . interest is charged at 12 % p . a . what is the monthly installment ?", - "Output Program": [ - "n0 = 22.0\nn1 = 0.0\nn2 = 10.0\nn3 = 60.0\nn4 = 12.0\nt0 = n2 / 100.0\nt1 = n4 / 100.0\nt2 = n0 * 1000.0\nt3 = t1 / n4\nt4 = 1.0 - t0\nt5 = t2 * t4\nt6 = t5 / n3\nt7 = t3 * t5\nanswer = t6 + t7\nprint(answer)" - ], - "Output Answer": [ - "528" - ], - "split": "train" - }, - { - "Input": "one night a certain hotel rented 3 / 4 of its rooms . including 2 / 3 of their air conditioned rooms . if 3 / 5 of its rooms were air conditioned , what percent of the rooms that were not rented were air conditioned ?", - "Output Program": [ - "n0 = 3.0\nn1 = 4.0\nn2 = 2.0\nn3 = 3.0\nn4 = 3.0\nn5 = 5.0\nt0 = n0 * 100.0\nt1 = t0 / n5\nt2 = t0 / n1\nt3 = t1 / n0\nt4 = 100.0 - t2\nt5 = t3 / t4\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "an inspector rejects 0.08 % of the meters as defective . how many will be examine to project ?", - "Output Program": [ - "n0 = 0.08\nt0 = 100.0 * 2.0\nt1 = n0 * 100.0\nt2 = t0 * 100.0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "2500" - ], - "split": "train" - }, - { - "Input": "a watch was sold at a loss of 10 % . if it was sold for rs . 200 more , there would have been a gain of 4 % . what is the cost price ?", - "Output Program": [ - "n0 = 10.0\nn1 = 200.0\nn2 = 4.0\nt0 = 100.0 + n2\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t0 - t2\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "1428.5714285714287" - ], - "split": "train" - }, - { - "Input": "a , b and c invest in a partnership in the ratio : 7 / 24 / 36 / 5 . after 4 months , a increases his share 50 % . if the total profit at the end of one year is rs . 21600 , then what is b ' s share in the profit ?", - "Output Program": [ - "n0 = 7.0\nn1 = 24.0\nn2 = 36.0\nn3 = 5.0\nn4 = 4.0\nn5 = 50.0\nn6 = 21600.0\nt0 = n1 + n2\nt1 = n6 * 10.0\nt2 = t0 - n3\nt3 = t2 - 1.0\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "4000" - ], - "split": "train" - }, - { - "Input": "there are 300 employees in a room . 99 % are managers . how many managers must leave the room to bring down the percentage of managers to 98 % ?", - "Output Program": [ - "n0 = 300.0\nn1 = 99.0\nn2 = 98.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n0 * t0\nt3 = n0 * t1\nt4 = 1.0 - t1\nt5 = t2 - t3\nanswer = t5 / t4\nprint(answer)" - ], - "Output Answer": [ - "149.99999999999986" - ], - "split": "train" - }, - { - "Input": "a shopkeeper fixes the marked price of an item 30 % above its cost price . the percentage of discount allowed to gain 8 % is", - "Output Program": [ - "n0 = 30.0\nn1 = 8.0\nt0 = n1 + 100.0\nt1 = n0 + 100.0\nt2 = t0 / t1\nt3 = t2 * 100.0\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "16.92307692307692" - ], - "split": "train" - }, - { - "Input": "an inspector rejects 10 % of the meters as defective . how many will he examine to reject 20 ?", - "Output Program": [ - "n0 = 10.0\nn1 = 20.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "if the simple interest on a sum of money for 2 years at 5 % per annum is rs . 56 , what is the compound interest on the same sum at the rate and for the same time ?", - "Output Program": [ - "n0 = 2.0\nn1 = 5.0\nn2 = 56.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n2 / t1\nt3 = n1 * t2\nt4 = t3 / 100.0\nt5 = t4 + t2\nt6 = n1 * t5\nt7 = t6 / 100.0\nt8 = t5 + t7\nanswer = t8 - t2\nprint(answer)" - ], - "Output Answer": [ - "57.39999999999998" - ], - "split": "train" - }, - { - "Input": "a man buy a book in rs 50 & sale it rs 60 . what is the rate of profit ? ? ?", - "Output Program": [ - "n0 = 50.0\nn1 = 60.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 10 . if p invested the money for 20 months , find for how much time did q invest the money ?", - "Output Program": [ - "n0 = 7.0\nn1 = 5.0\nn2 = 7.0\nn3 = 10.0\nn4 = 20.0\nt0 = n0 / n1\nt1 = n3 / n2\nt2 = t0 * t1\nanswer = n4 * t2\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "a circle graph shows how the megatech corporation allocates its research and development budget : 9 % microphotonics ; 14 % home electronics ; 10 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics . if the arc of each sector of the graph is proportional to the percentage of the budget it represents , how many degrees of the circle are used to represent basic astrophysics research ?", - "Output Program": [ - "n0 = 9.0\nn1 = 14.0\nn2 = 10.0\nn3 = 29.0\nn4 = 8.0\nt0 = n0 + n1\nt1 = 3600.0 / 10.0\nt2 = n2 + t0\nt3 = n3 + t2\nt4 = n4 + t3\nt5 = 100.0 - t4\nt6 = t1 * t5\nanswer = t6 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "108" - ], - "split": "train" - }, - { - "Input": "the amount of principal rs . 8000 at compound interest at the ratio of 5 % p . a . for 3 years is", - "Output Program": [ - "n0 = 8000.0\nn1 = 5.0\nn2 = 3.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "9261.000000000002" - ], - "split": "train" - }, - { - "Input": "what profit percent is made by selling an article at a certain price , if by selling at 2 / 3 rd of that price , there would be a loss of 20 % ?", - "Output Program": [ - "n0 = 2.0\nn1 = 3.0\nn2 = 20.0\nt0 = n0 / n1\nt1 = 100.0 - n2\nt2 = t1 / t0\nanswer = t2 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "what amount does an investor receive if the investor invests $ 3000 at 10 % p . a . compound interest for two years , compounding done annually ?", - "Output Program": [ - "n0 = 3000.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "3630.0000000000005" - ], - "split": "train" - }, - { - "Input": "a fruit seller sells mangoes at the rate of rs . 12 per kg and thereby loses 15 % . at what price per kg , he should have sold them to make a profit of 5 %", - "Output Program": [ - "n0 = 12.0\nn1 = 15.0\nn2 = 5.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = n0 * t0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "14.823529411764707" - ], - "split": "train" - }, - { - "Input": "a sells a bicycle to b and makes a profit of 35 % . b sells the same bicycle to c at a profit of 45 % . if the final s . p . of the bicycle was rs . 225 , find out the cost price of the bicycle for a .", - "Output Program": [ - "n0 = 35.0\nn1 = 45.0\nn2 = 225.0\nt0 = n1 + 100.0\nt1 = n0 + 100.0\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = n2 / t2\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "114.94252873563218" - ], - "split": "train" - }, - { - "Input": "by selling 15 pencils for a rupee a man loses 25 % . how many for a rupee should he sell in order to gain 25 % ?", - "Output Program": [ - "n0 = 15.0\nn1 = 25.0\nn2 = 25.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = 1.0 / t1\nt3 = t0 * t2\nt4 = 1.0 / t3\nanswer = n0 * t4\nprint(answer)" - ], - "Output Answer": [ - "9" - ], - "split": "train" - }, - { - "Input": "if the cost price of 65 chocolates is equal to the selling price of 50 chocolates , the gain percent is :", - "Output Program": [ - "n0 = 65.0\nn1 = 50.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = 100.0 / t1\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "at joel \u2019 s bookstore , the current inventory is 40 % historical fiction . of the historical fiction books , 40 % are new releases , while 70 % of the other books are new releases . what fraction of all new releases are the historical fiction new releases ?", - "Output Program": [ - "n0 = 40.0\nn1 = 40.0\nn2 = 70.0\nt0 = n0 * n1\nt1 = 100.0 - n0\nt2 = t0 / 100.0\nt3 = n2 * t1\nt4 = t3 / 100.0\nt5 = t2 + t4\nanswer = t2 / t5\nprint(answer)" - ], - "Output Answer": [ - "0.27586206896551724" - ], - "split": "train" - }, - { - "Input": "a man buys rs . 20 shares paying 9 % dividend . the man wants to have an interest of 12 % on his money . the market value of each share is :", - "Output Program": [ - "n0 = 20.0\nn1 = 9.0\nn2 = 12.0\nt0 = 100.0 / n2\nt1 = n1 / 100.0\nt2 = n0 * t1\nanswer = t0 * t2\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "the bankers discount of a certain sum of money is rs . 72 and the true discount on the same sum for the same time is rs . 60 . the sum due is :", - "Output Program": [ - "n0 = 72.0\nn1 = 60.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "360" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 345 after successive discount is 12 % and 25 % is ?", - "Output Program": [ - "n0 = 345.0\nn1 = 12.0\nn2 = 25.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "227.70000000000002" - ], - "split": "train" - }, - { - "Input": "the workforce of company x is 60 % female . the company hired 22 additional male workers , and as a result , the percent of female workers dropped to 55 % . how many employees did the company have after hiring the additional male workers ?", - "Output Program": [ - "n0 = 60.0\nn1 = 22.0\nn2 = 55.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 * t0\nt3 = t1 - t0\nt4 = t2 / t3\nanswer = n1 + t4\nprint(answer)" - ], - "Output Answer": [ - "264.00000000000034" - ], - "split": "train" - }, - { - "Input": "a fruit seller sells mangoes at the rate of rs . 8 per kg and thereby loses 20 % . at what price per kg , he should have sold them to make a profit of 5 %", - "Output Program": [ - "n0 = 8.0\nn1 = 20.0\nn2 = 5.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = n0 * t0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "10.5" - ], - "split": "train" - }, - { - "Input": "a sum fetched a total simple interest of rs . 1000 at the rate of 10 p . c . p . a . in 4 years . what is the sum ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 10.0\nn2 = 4.0\nt0 = n0 * 100.0\nt1 = t0 / n1\nanswer = t1 / 4.0\nprint(answer)" - ], - "Output Answer": [ - "2500" - ], - "split": "train" - }, - { - "Input": "a cylinder of height h is 7 / 8 of water . when all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder , the new cylinder is 3 / 5 full . the height of the new cylinder is what percent of h ?", - "Output Program": [ - "n0 = 7.0\nn1 = 8.0\nn2 = 25.0\nn3 = 3.0\nn4 = 5.0\nt0 = n3 / n4\nt1 = n0 / n1\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "68.57142857142857" - ], - "split": "train" - }, - { - "Input": "a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 % . during the new year season , it further marked up its prices by 25 % of the original retail price . in february , the store then offered a discount of 7 % . what was its profit on the items sold in february ?", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nn2 = 7.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = 100.0 - n2\nt3 = t2 / 100.0\nt4 = t1 / 100.0\nt5 = t0 * t4\nt6 = t3 * t5\nanswer = t6 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "39.5" - ], - "split": "train" - }, - { - "Input": "last year a certain bond price with a face value of 5000 yielded 8 % of its face value in interest . if that interest was approx 6.5 of the bond ' s selling price approx what was the bond ' s selling price ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 8.0\nn2 = 6.5\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n0 * t0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "6153.846153846153" - ], - "split": "train" - }, - { - "Input": "a grocer has 400 pounds of coffee in stock , 20 percent of which is decaffeinated . if the grocer buys another 100 pounds of coffee of which 70 percent is decaffeinated , what percent , by weight , of the grocer \u2019 s stock of coffee is decaffeinated ?", - "Output Program": [ - "n0 = 400.0\nn1 = 20.0\nn2 = 100.0\nn3 = 70.0\nt0 = n0 + n2\nt1 = n1 / n2\nt2 = n3 / n2\nt3 = n0 * t1\nt4 = n2 * t2\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * n2\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "at what price must an article costing rs . 66.5 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 25 % on the cost price ?", - "Output Program": [ - "n0 = 66.5\nn1 = 5.0\nn2 = 25.0\nt0 = n0 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 + t2\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "87.5" - ], - "split": "train" - }, - { - "Input": "a sum fetched a total simple interest of 4034.25 at the rate of 9 % . p . a . in 5 years . what is the sum ?", - "Output Program": [ - "n0 = 4034.25\nn1 = 9.0\nn2 = 5.0\nt0 = n0 * 100.0\nt1 = t0 / n1\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "8965" - ], - "split": "train" - }, - { - "Input": "rani bought more apples than oranges . she sells apples at \u20b9 23 apiece and makes 15 % profit . she sells oranges at \u20b9 10 apiece and makes 25 % profit . if she gets \u20b9 653 after selling all the apples and oranges , find her profit percentage w .", - "Output Program": [ - "n0 = 23.0\nn1 = 15.0\nn2 = 10.0\nn3 = 25.0\nn4 = 653.0\nt0 = n1 + 2.0\nt1 = n3 / 100.0\nt2 = n2 * 2.0\nt3 = t2 + 1.0\nt4 = t1 + 1.0\nt5 = n2 / t4\nt6 = t3 * t2\nt7 = t0 * t5\nt8 = t6 + t7\nt9 = n4 - t8\nt10 = t9 / t8\nanswer = t10 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "17.446043165467625" - ], - "split": "train" - }, - { - "Input": "a man buys rs . 56 shares paying 9 % dividend . the man wants to have an interest of 12 % on his money . the market value of each share is :", - "Output Program": [ - "n0 = 56.0\nn1 = 9.0\nn2 = 12.0\nt0 = 100.0 / n2\nt1 = n1 / 100.0\nt2 = n0 * t1\nanswer = t0 * t2\nprint(answer)" - ], - "Output Answer": [ - "42" - ], - "split": "train" - }, - { - "Input": "of 440 surveyed students , 20 % of those who read book a also read book b and 25 % of those who read book b also read book a . if each student read at least one of the books , what is the difference between the number of students who read only book a and the number of students who read only book b ?", - "Output Program": [ - "n0 = 440.0\nn1 = 20.0\nn2 = 25.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = t0 / t1\nt3 = 1.0 - t1\nt4 = 1.0 - t0\nt5 = t2 + 1.0\nt6 = t5 - t0\nt7 = n0 / t6\nt8 = t7 * t2\nt9 = t7 * t4\nt10 = t8 * t3\nanswer = t10 - t9\nprint(answer)" - ], - "Output Answer": [ - "55" - ], - "split": "train" - }, - { - "Input": "on a certain road , 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but 30 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on that road exceed the posted speed limit ?", - "Output Program": [ - "n0 = 10.0\nn1 = 30.0\nt0 = 100.0 - n1\nt1 = n0 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "14.285714285714285" - ], - "split": "train" - }, - { - "Input": "12 is subtracted from 95 % of a number , the result is 178 . find the number ?", - "Output Program": [ - "n0 = 12.0\nn1 = 95.0\nn2 = 178.0\nt0 = n0 + n2\nt1 = n1 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "a man invests rs . 8000 at the rate of 5 % per annum . how much more should he invest at the rate of 8 % , so that he can earn a total of 6 % per annum ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 5.0\nn2 = 8.0\nn3 = 6.0\nt0 = n0 * n3\nt1 = n0 * n1\nt2 = n2 - n3\nt3 = t0 - t1\nanswer = t3 / t2\nprint(answer)" - ], - "Output Answer": [ - "4000" - ], - "split": "train" - }, - { - "Input": "a 340 - liter solution of kola is made from 64 % water , 9 % concentrated kola and the rest is made from sugar . if 3.2 liters of sugar , 8 liter of water and 6.8 liters of concentrated kola were added to the solution , what percent of the solution is made from sugar ?", - "Output Program": [ - "n0 = 340.0\nn1 = 64.0\nn2 = 9.0\nn3 = 3.2\nn4 = 8.0\nn5 = 6.8\nt0 = n0 + n3\nt1 = n1 / 100.0\nt2 = n2 / 100.0\nt3 = n4 + t0\nt4 = n0 * t1\nt5 = n0 * t2\nt6 = n5 + t3\nt7 = n0 - t4\nt8 = t7 - t5\nt9 = n3 + t8\nt10 = t9 / t6\nanswer = t10 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "26.536312849162012" - ], - "split": "train" - }, - { - "Input": "a watch was sold at a loss of 10 % . if it was sold for rs . 140 more , there would have been a gain of 5 % . what is the cost price ?", - "Output Program": [ - "n0 = 10.0\nn1 = 140.0\nn2 = 5.0\nt0 = 100.0 + n2\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t0 - t2\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "933.3333333333334" - ], - "split": "train" - }, - { - "Input": "if a man lost 4 % by selling oranges at the rate of 24 a rupee at how many a rupee must he sell them to gain 44 % ?", - "Output Program": [ - "n0 = 4.0\nn1 = 24.0\nn2 = 44.0\nt0 = n2 + 100.0\nt1 = 100.0 - n0\nt2 = n1 * t1\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "john had a stock of 1200 books in his bookshop . he sold 75 on monday , 50 on tuesday , 64 on wednesday , 78 on thursday and 135 on friday . what percentage of the books were not sold ?", - "Output Program": [ - "n0 = 1200.0\nn1 = 75.0\nn2 = 50.0\nn3 = 64.0\nn4 = 78.0\nn5 = 135.0\nt0 = n1 + n2\nt1 = n3 + n4\nt2 = t0 + t1\nt3 = n5 + t2\nt4 = n0 - t3\nt5 = t4 / n0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "66.5" - ], - "split": "train" - }, - { - "Input": "a sum fetched total simple interest of 4016.25 at the rate of 12 p . c . p . a . in 5 years . what is the sum ?", - "Output Program": [ - "n0 = 4016.25\nn1 = 12.0\nn2 = 5.0\nt0 = n0 * 100.0\nt1 = n1 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "6693.75" - ], - "split": "train" - }, - { - "Input": "a man buys 50 pens at marked price of 46 pens from a whole seller . if he sells these pens giving a discount of 1 % , what is the profit percent ?", - "Output Program": [ - "n0 = 50.0\nn1 = 46.0\nn2 = 1.0\nt0 = n1 * 100.0\nt1 = 100.0 - n2\nt2 = n0 * t1\nt3 = t2 - t0\nt4 = t3 / t0\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "7.608695652173914" - ], - "split": "train" - }, - { - "Input": "walking 3 / 2 of his usual rate , a boy reaches his school 4 min early . find his usual time to reach the school ?", - "Output Program": [ - "n0 = 3.0\nn1 = 2.0\nn2 = 4.0\n\nanswer = n0 * n2\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "train" - }, - { - "Input": "32 % of employees are women with fair hair . 40 % of fair - haired employees are women . what percent of employees have fair hair ?", - "Output Program": [ - "n0 = 32.0\nn1 = 40.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "the ratio of the cost price and the selling price is 4 : 5 . the profit percent is :", - "Output Program": [ - "n0 = 4.0\nn1 = 5.0\nt0 = n1 / n0\nt1 = t0 - 1.0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "at what price must an article costing rs . 200 be marked in order that after deducting 10 % from the list price . it may be sold at a profit of 20 % on the cost price ?", - "Output Program": [ - "n0 = 200.0\nn1 = 10.0\nn2 = 20.0\nt0 = n0 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 + t2\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "266.6666666666667" - ], - "split": "train" - }, - { - "Input": "ramesh purchased a refrigerator for rs . 12500 after getting a discount of 20 % on the labelled price . he spent rs . 125 on transport and rs . 250 on installation . at what price should it be sold so that the profit earned would be 15 % if no discount was offered ?", - "Output Program": [ - "n0 = 12500.0\nn1 = 20.0\nn2 = 125.0\nn3 = 250.0\nn4 = 15.0\nt0 = n4 + 100.0\nt1 = n2 + n3\nt2 = n0 * 100.0\nt3 = 100.0 - n1\nt4 = t2 / t3\nt5 = t1 + t4\nt6 = t0 * t5\nanswer = t6 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "18400" - ], - "split": "train" - }, - { - "Input": "in a certain pond , 50 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what ` s the approximate number of fish in the pond ?", - "Output Program": [ - "n0 = 50.0\nn1 = 50.0\nn2 = 2.0\nt0 = n2 / n1\nanswer = n0 / t0\nprint(answer)" - ], - "Output Answer": [ - "1250" - ], - "split": "train" - }, - { - "Input": "if the cost price of 12 pencils is equal to the selling price of 8 pencils , the gain percent is :", - "Output Program": [ - "n0 = 12.0\nn1 = 8.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = 100.0 / t1\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "the angle of elevation of a ladder leaning against a wall is 60 \u00ba and the foot of the ladder is 4.6 m away from the wall . the length of the ladder is :", - "Output Program": [ - "n0 = 60.0\nn1 = 4.6\n\nanswer = n1 * 2.0\nprint(answer)" - ], - "Output Answer": [ - "9.2" - ], - "split": "train" - }, - { - "Input": "a man ' s speed with the current is 16 km / hr and the speed of the current is 3.2 km / hr . the man ' s speed against the current is", - "Output Program": [ - "n0 = 16.0\nn1 = 3.2\nt0 = n0 - n1\nanswer = t0 - n1\nprint(answer)" - ], - "Output Answer": [ - "9.600000000000001" - ], - "split": "train" - }, - { - "Input": "the banker ' s gain on a bill due due 1 year hence at 12 % per annum is rs . 7.8 . the true discount is", - "Output Program": [ - "n0 = 1.0\nn1 = 12.0\nn2 = 7.8\nt0 = n1 / 100.0\nanswer = n2 / t0\nprint(answer)" - ], - "Output Answer": [ - "65" - ], - "split": "train" - }, - { - "Input": "of 1000 surveyed students , 20 % of those who read book a also read book b and 25 % of those who read book b also read book a . if each student read at least one of the books , what is the difference between the number of students who read only book a and the number of students who read only book b ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 20.0\nn2 = 25.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = t0 / t1\nt3 = 1.0 - t1\nt4 = 1.0 - t0\nt5 = t2 + 1.0\nt6 = t5 - t0\nt7 = n0 / t6\nt8 = t7 * t2\nt9 = t7 * t4\nt10 = t8 * t3\nanswer = t10 - t9\nprint(answer)" - ], - "Output Answer": [ - "125" - ], - "split": "train" - }, - { - "Input": "p runs 25 % faster than q so p gives q a 60 meter head start . if the race ends in a tie , how far ( in meters ) did p run in the race ?", - "Output Program": [ - "n0 = 25.0\nn1 = 60.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nanswer = n1 + t1\nprint(answer)" - ], - "Output Answer": [ - "300" - ], - "split": "train" - }, - { - "Input": "joe invested a certain sum of money in a simple interest bond whose value grew to $ 560 at the end of 3 years and to $ 660 at the end of another 5 years . what was the rate of interest in which he invested his sum ?", - "Output Program": [ - "n0 = 560.0\nn1 = 3.0\nn2 = 660.0\nn3 = 5.0\nt0 = n2 - n0\nt1 = t0 / n3\nt2 = n1 * t1\nt3 = n0 - t2\nt4 = t1 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "at an election 2 candidates are participated a candidate got 45 % of votes and defeated by 9000 votes . 83 votes are invalid . find the total polled votes ?", - "Output Program": [ - "n0 = 2.0\nn1 = 45.0\nn2 = 9000.0\nn3 = 83.0\nt0 = 100.0 - n1\nt1 = t0 - n1\nt2 = n2 / t1\nt3 = t2 * 100.0\nanswer = t3 + n3\nprint(answer)" - ], - "Output Answer": [ - "90083" - ], - "split": "train" - }, - { - "Input": "a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 12 % while buying and by 20 % while selling . what is his percentage profit ?", - "Output Program": [ - "n0 = 12.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = 100.0 - n1\nt2 = t0 - t1\nt3 = t2 * 100.0\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sells 20 % of his stock at 10 % profit ans sells the remaining at a loss of 5 % . he incurred an overall loss of rs . 450 . find the total worth of the stock ?", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nn2 = 5.0\nn3 = 450.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 / 100.0\nt3 = 100.0 - n0\nt4 = t3 / 100.0\nt5 = t1 * t2\nt6 = t0 * t4\nt7 = t6 - t5\nanswer = n3 / t7\nprint(answer)" - ], - "Output Answer": [ - "22499.999999999996" - ], - "split": "train" - }, - { - "Input": "the number which exceeds 16 % of it by 126 is :", - "Output Program": [ - "n0 = 16.0\nn1 = 126.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "find the simple interest on $ 10000 at 8 % per annum for 12 months ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 8.0\nn2 = 12.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "train" - }, - { - "Input": "one fourth of a solution that was 11 % salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight . the second solution was what percent salt by weight ?", - "Output Program": [ - "n0 = 11.0\nn1 = 16.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 * 4.0\nt3 = t1 * 4.0\nt4 = t3 - t1\nt5 = t2 - t4\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "31" - ], - "split": "train" - }, - { - "Input": "80 percent of the members of a study group are women , and 40 percent of those women are lawyers . if one member of the study group is to be selected at random , what is the probability that the member selected is a woman lawyer ?", - "Output Program": [ - "n0 = 80.0\nn1 = 40.0\nt0 = 5.0 * 5.0\nt1 = t0 * 4.0\nt2 = n0 / t1\nt3 = n1 / t1\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "0.32000000000000006" - ], - "split": "train" - }, - { - "Input": "a fruit seller had some apples . he sells 40 % apples and still has 420 apples . originally , he had", - "Output Program": [ - "n0 = 40.0\nn1 = 420.0\n\nanswer = n1 * 100 / (100 + 1e-5 - n0) # original price before loss\nprint(answer)" - ], - "Output Answer": [ - "699.9998833333527" - ], - "split": "train" - }, - { - "Input": "a certain sum is invested at simple interest at 15 % p . a . for two years instead of investing at 12 % p . a . for the same time period . therefore the interest received is more by rs . 840 . find the sum ?", - "Output Program": [ - "n0 = 15.0\nn1 = 12.0\nn2 = 840.0\nt0 = n0 - n1\nt1 = t0 * 2.0\nt2 = t1 / 100.0\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "14000" - ], - "split": "train" - }, - { - "Input": "if the radius of a circle is decreased by 50 % , find the percentage decrease in its area .", - "Output Program": [ - "n0 = 50.0\nt0 = 100.0 / 100.0\nt1 = n0 / 100.0\nt2 = t0 - t1\nt3 = t2**min(2.0, 5)\nt4 = t0 - t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "train" - }, - { - "Input": "the price of a jacket is reduced by 25 % . during a special sale the price of the jacket is reduced another 30 % . by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount ?", - "Output Program": [ - "n0 = 25.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t1 - t2\nt4 = 100.0 - t3\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "90.47619047619048" - ], - "split": "train" - }, - { - "Input": "a bowl was filled with 10 ounces of water , and 0.0008 ounce of the water evaporated each day during a 50 - day period . what percent of the original amount of water evaporated during this period ?", - "Output Program": [ - "n0 = 10.0\nn1 = 0.0008\nn2 = 50.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "0.4" - ], - "split": "train" - }, - { - "Input": "at what price must an book costing $ 47.50 be marked in order that after deducting 15 % from the list price . it may be sold at a profit of 25 % on the cost price ?", - "Output Program": [ - "n0 = 47.5\nn1 = 15.0\nn2 = 25.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = n0 * t0\nt3 = t2 / 100.0\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "69.85294117647058" - ], - "split": "train" - }, - { - "Input": "the owner of a furniture shop charges his customer 30 % more than the cost price . if a customer paid rs . 8450 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 30.0\nn1 = 8450.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "6500" - ], - "split": "train" - }, - { - "Input": "by selling an article at rs . 600 , a profit of 25 % is made . find its cost price ?", - "Output Program": [ - "n0 = 600.0\nn1 = 25.0\nt0 = n1 + 100.0\nt1 = n0 * 100.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "480" - ], - "split": "train" - }, - { - "Input": "ashok and pyarelal invested money together in a business and share a capital of ashok is 1 / 9 of that of pyarelal . if the incur a loss of rs 1200 then loss of pyarelal ?", - "Output Program": [ - "n0 = 1.0\nn1 = 9.0\nn2 = 1200.0\nt0 = n0 + n1\nt1 = n1 * n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "1080" - ], - "split": "train" - }, - { - "Input": "what is the rate percent when the simple interest on rs . 1500 amount to rs . 250 in 5 years ?", - "Output Program": [ - "n0 = 1500.0\nn1 = 250.0\nn2 = 5.0\nt0 = n1 * 100.0\nt1 = n0 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "3.3333333333333335" - ], - "split": "train" - }, - { - "Input": "anand and deepak started a business investing rs . 22,500 and rs . 35,000 respectively . out of a total profit of rs . 13,800 , deepak \u2019 s share is _____", - "Output Program": [ - "n0 = 22500.0\nn1 = 35000.0\nn2 = 13800.0\nt0 = 2.0 + 3.0\nt1 = 2.0 * 4.0\nt2 = 100.0 * 2.0\nt3 = t0 * 2.0\nt4 = t1 * 100.0\nt5 = t0 * 100.0\nt6 = t2 * 100.0\nt7 = t3 * 100.0\nt8 = t5 * t3\nt9 = t3 * t7\nt10 = t7 * 3.0\nt11 = t7 * 2.0\nt12 = t9 + t10\nt13 = t6 + t11\nt14 = t9 * 3.0\nt15 = t12 + t4\nt16 = t14 + t8\nt17 = t13 + t5\nt18 = t16 + t17\nt19 = t16 / t18\nt20 = t15 * t19\nanswer = t20 - t10\nprint(answer)" - ], - "Output Answer": [ - "5400" - ], - "split": "train" - }, - { - "Input": "110 is increased by 50 % . find the final number .", - "Output Program": [ - "n0 = 110.0\nn1 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "165" - ], - "split": "train" - }, - { - "Input": "by selling 15 pencils for a rupee a man loses 60 % . how many for a rupee should he sell in order to gain 60 % ?", - "Output Program": [ - "n0 = 15.0\nn1 = 60.0\nn2 = 60.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = 1.0 / t1\nt3 = t0 * t2\nt4 = 1.0 / t3\nanswer = n0 * t4\nprint(answer)" - ], - "Output Answer": [ - "3.75" - ], - "split": "train" - }, - { - "Input": "a shopkeeper bought 600 oranges and 400 bananas . he found 15 % of oranges and 8 % of bananas were rotten . find the percentage of fruits in good condition ?", - "Output Program": [ - "n0 = 600.0\nn1 = 400.0\nn2 = 15.0\nn3 = 8.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = n0 * t1\nt4 = n1 * t2\nt5 = t3 + t4\nt6 = t0 - t5\nt7 = t6 / t0\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "87.8" - ], - "split": "train" - }, - { - "Input": "in an election , candidate a got 75 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favour of candidate", - "Output Program": [ - "n0 = 75.0\nn1 = 15.0\nn2 = 560000.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = 1.0 - t1\nt3 = n2 * t2\nanswer = t0 * t3\nprint(answer)" - ], - "Output Answer": [ - "357000" - ], - "split": "train" - }, - { - "Input": "if 15 % of 30 % of 50 % of a number is 90 , then what is the number ?", - "Output Program": [ - "n0 = 15.0\nn1 = 30.0\nn2 = 50.0\nn3 = 90.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 / 100.0\nt3 = t1 * t2\nt4 = t0 * t3\nanswer = n3 / t4\nprint(answer)" - ], - "Output Answer": [ - "4000" - ], - "split": "train" - }, - { - "Input": "a , b and c invested rs . 6300 , rs . 4200 and rs . 10500 respectively , in a partnership business . find the share of a in profit of rs . 13600 after a year ?", - "Output Program": [ - "n0 = 6300.0\nn1 = 4200.0\nn2 = 10500.0\nn3 = 13600.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n0 / t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "4080" - ], - "split": "train" - }, - { - "Input": "a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $ 200 . if a store employee applied the 15 percent employee discount to the retail price to buy the recorder , how much did the employee pay for the recorder ?", - "Output Program": [ - "n0 = 20.0\nn1 = 200.0\nn2 = 15.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n1 + t1\nt3 = t2 / 100.0\nt4 = n2 * t3\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "204" - ], - "split": "train" - }, - { - "Input": "the true discount on a bill due 9 months hence at 16 % per annum is rs . 189 . the amount of the bill is", - "Output Program": [ - "n0 = 9.0\nn1 = 16.0\nn2 = 189.0\nt0 = 3.0 * 4.0\nt1 = n0 / t0\nt2 = n1 * t1\nt3 = t2 / 100.0\nt4 = n2 / t3\nanswer = n2 + t4\nprint(answer)" - ], - "Output Answer": [ - "1764" - ], - "split": "train" - }, - { - "Input": "how long will a boy take to run round a square field of side 40 meters , if he runs at the rate of 9 km / hr ?", - "Output Program": [ - "n0 = 40.0\nn1 = 9.0\nt0 = 1000.0 / 3600.0\nt1 = n0 * 4.0\nt2 = n1 * t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "64" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 150 after successive discount is 20 % and 10 % is ?", - "Output Program": [ - "n0 = 150.0\nn1 = 20.0\nn2 = 10.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "108" - ], - "split": "train" - }, - { - "Input": "john and ingrid pay 30 % and 40 % tax annually , respectively . if john makes $ 58000 and ingrid makes $ 72000 , what is their combined tax rate ?", - "Output Program": [ - "n0 = 30.0\nn1 = 40.0\nn2 = 58000.0\nn3 = 72000.0\nt0 = n2 + n3\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = n2 * t1\nt4 = n3 * t2\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "35.53846153846154" - ], - "split": "train" - }, - { - "Input": "the total cost of 100 paper plates and 200 paper cups is $ 7.50 at the same rates what is the total cost of 20 of the plates and 40 of the cups ?", - "Output Program": [ - "n0 = 100.0\nn1 = 200.0\nn2 = 7.5\nn3 = 20.0\nn4 = 40.0\nt0 = n3 / n0\nanswer = n2 * t0\nprint(answer)" - ], - "Output Answer": [ - "1.5" - ], - "split": "train" - }, - { - "Input": "a baseball card decreased in value 20 % in its first year and 10 % in its second year . what was the total percent decrease of the card ' s value over the two years ?", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = t4 * 100.0\nanswer = 100.0 - t5\nprint(answer)" - ], - "Output Answer": [ - "27.999999999999986" - ], - "split": "train" - }, - { - "Input": "after 10 % of the inhabitants of a village disappeared , a panic set in during which 25 % of the remaining inhabitants left the village . at that time , the population was reduced to 4860 . what was the number of original inhabitants ?", - "Output Program": [ - "n0 = 10.0\nn1 = 25.0\nn2 = 4860.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = 1.0 - t0\nt3 = t1 * t2\nt4 = t2 - t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "7199.999999999999" - ], - "split": "train" - }, - { - "Input": "an empty fuel tank with a capacity of 200 gallons was filled partially with fuel a and then to capacity with fuel b . fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume . if the full fuel tank contains 20 gallons of ethanol , how many gallons of fuel a were added ?", - "Output Program": [ - "n0 = 200.0\nn1 = 12.0\nn2 = 16.0\nn3 = 20.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 * t0\nt3 = t0 - t1\nt4 = t2 - n3\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "299.99999999999994" - ], - "split": "train" - }, - { - "Input": "the annual interest rate earned by an investment increased by 10 percent from last year to this year . if the annual interest rate earned by the investment this year was 9 percent , what was the annual interest rate last year ?", - "Output Program": [ - "n0 = 10.0\nn1 = 9.0\nt0 = n1 + 100.0\nt1 = n1 * 100.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "8.256880733944953" - ], - "split": "train" - }, - { - "Input": "a , b and c enter into a partnership . a invests 3 times as much as b invests and 2 / 3 of what c invests . at the end of the year , the profit earned is rs . 66000 . what is the share of c ?", - "Output Program": [ - "n0 = 3.0\nn1 = 2.0\nn2 = 3.0\nn3 = 66000.0\nt0 = n1 / n0\nt1 = n0 * t0\nt2 = t0 + t1\nt3 = t2 + 1.0\nt4 = 1 / t3\nanswer = n3 * t4\nprint(answer)" - ], - "Output Answer": [ - "18000.000000000004" - ], - "split": "train" - }, - { - "Input": "p and q started a business investing rs 60000 and rs 15000 resp . in what ratio the profit earned after 2 years be divided between p and q respectively .", - "Output Program": [ - "n0 = 60000.0\nn1 = 15000.0\nn2 = 2.0\n\nanswer = n0 / n1\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "a distributor sells a product through an online store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 20 per item . what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item ?", - "Output Program": [ - "n0 = 20.0\nn1 = 20.0\nn2 = 20.0\nt0 = n0 / 100.0\nt1 = 100.0 - n0\nt2 = t1 / 100.0\nt3 = n1 * t0\nt4 = n1 + t3\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "a man buys an item at rs . 750 and sells it at the loss of 20 percent . then what is the selling price of that item", - "Output Program": [ - "n0 = 750.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "a man sold 20 articles for $ 60 and gained 20 % . how many articles should he sell for $ 80 to incur a loss 20 % ?", - "Output Program": [ - "n0 = 20.0\nn1 = 60.0\nn2 = 20.0\nn3 = 80.0\nn4 = 20.0\nt0 = n1 * 100 / (100 + n0) # original_price_before gain\nt1 = n3 * 100 / (100 + 1e-5 - n0) # original price before loss\nt2 = t0 / n0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "39.999995000000624" - ], - "split": "train" - }, - { - "Input": "the calendar of the year 2024 can be used again in the year ?", - "Output Program": [ - "n0 = 2024.0\nt0 = 4.0 * 4.0\nt1 = t0 - 2.0\nt2 = t1 * 2.0\nanswer = n0 + t2\nprint(answer)" - ], - "Output Answer": [ - "2052" - ], - "split": "train" - }, - { - "Input": "the price of rice falls by 20 % . how much rice can be bought now with the money that was sufficient to buy 40 kg of rice previously ?", - "Output Program": [ - "n0 = 20.0\nn1 = 40.0\nt0 = 100.0 - n0\nt1 = t0 / n1\nanswer = 100.0 / t1\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a person lent a certain sum of money at 4 % per annum at simple interest and in 8 years the interest amounted to rs . 170 less than the sum lent . what was the sum lent ?", - "Output Program": [ - "n0 = 4.0\nn1 = 8.0\nn2 = 170.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "250.00000000000003" - ], - "split": "train" - }, - { - "Input": "the list price of an article is rs . 70 . a customer pays rs . 59.85 for it . he was given two successive discounts , one of them being 10 % . the other discount is ?", - "Output Program": [ - "n0 = 70.0\nn1 = 59.85\nn2 = 10.0\nt0 = n2 / 100.0\nt1 = n0 * t0\nt2 = n0 - t1\nt3 = t2 - n1\nt4 = t3 / t2\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "4.999999999999997" - ], - "split": "train" - }, - { - "Input": "reema took a loan of rs 1200 with simple interest for as many years as the rate of interest . if she paid rs . 432 as interest at the end of the loan period , what was the rate of interest .", - "Output Program": [ - "import math\nn0 = 1200.0\nn1 = 432.0\nt0 = n0 / 100.0\nt1 = n1 / t0\nanswer = math.sqrt(max(0, t1))\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "a cycle is bought for rs . 900 and sold for rs . 1350 , find the gain percent ?", - "Output Program": [ - "n0 = 900.0\nn1 = 1350.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a sells a bicycle to b at a profit of 20 % . b sells it to c at a profit of 25 % . if c pays rs . 225 for it , the cost price of the bicycle for a is ?", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nn2 = 225.0\nt0 = n1 + 100.0\nt1 = n0 + 100.0\nt2 = n2 * 100.0\nt3 = t2 / t0\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 400 after successive discount is 12 % and 5 % is ?", - "Output Program": [ - "n0 = 400.0\nn1 = 12.0\nn2 = 5.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "334.4" - ], - "split": "train" - }, - { - "Input": "a man ' s speed with the current is 25 km / hr and the speed of the current is 2.5 km / hr . the man ' s speed against the current is ?", - "Output Program": [ - "n0 = 25.0\nn1 = 2.5\nt0 = n0 - n1\nanswer = t0 - n1\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "the area of a circle is increased by 300 % . by what percent has the radius of the circle increased ?", - "Output Program": [ - "n0 = 300.0\nt0 = 2.0 / 2.0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "in a certain neighborhood , 60 percent of the student are going to school ( a ) , and the rest are going to school ( b ) . a new school ( c ) is opened , if 30 percent of student of school ( a ) and 40 percent of student of school ( b ) are expected to go to the new school ( c ) , what percent of student are expected to go to the new school ( c ) ?", - "Output Program": [ - "n0 = 60.0\nn1 = 30.0\nn2 = 40.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = 100.0 - n0\nt3 = n0 * t0\nt4 = t1 * t2\nanswer = t3 + t4\nprint(answer)" - ], - "Output Answer": [ - "34" - ], - "split": "train" - }, - { - "Input": "two boys starts from the same place walking at the rate of 4 kmph and 5.5 kmph respectively in the same direction . what time will they take to be 10.5 km apart ?", - "Output Program": [ - "n0 = 4.0\nn1 = 5.5\nn2 = 10.5\nt0 = n1 - n0\nanswer = n2 / t0\nprint(answer)" - ], - "Output Answer": [ - "7" - ], - "split": "train" - }, - { - "Input": "the salary of a typist was at first raised by 10 % and then the same was reduced by 5 % . if he presently draws rs . 1045 . what was his original salary ?", - "Output Program": [ - "n0 = 10.0\nn1 = 5.0\nn2 = 1045.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "1000.0000000000001" - ], - "split": "train" - }, - { - "Input": "an error 3 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is :", - "Output Program": [ - "n0 = 3.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "6.09" - ], - "split": "train" - }, - { - "Input": "the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 10 . if p invested the money for 7 months , find for how much time did q invest the money ?", - "Output Program": [ - "n0 = 7.0\nn1 = 5.0\nn2 = 7.0\nn3 = 10.0\nn4 = 7.0\nt0 = n0 / n1\nt1 = n3 / n2\nt2 = t0 * t1\nanswer = n4 * t2\nprint(answer)" - ], - "Output Answer": [ - "14" - ], - "split": "train" - }, - { - "Input": "in one alloy there is 12 % chromium while in another alloy it is 8 % . 20 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy . find the percentage of chromium in the new alloy .", - "Output Program": [ - "n0 = 12.0\nn1 = 8.0\nn2 = 20.0\nn3 = 35.0\nt0 = n2 + n3\nt1 = n0 * n2\nt2 = n1 * n3\nt3 = t1 / 100.0\nt4 = t2 / 100.0\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "9.454545454545453" - ], - "split": "train" - }, - { - "Input": "the number which exceeds 16 % of it by 42 is ?", - "Output Program": [ - "n0 = 16.0\nn1 = 42.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a person buys an article at rs . 620 . at what price should he sell the article so as to make a profit of 25 % ?", - "Output Program": [ - "n0 = 620.0\nn1 = 25.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "775" - ], - "split": "train" - }, - { - "Input": "a man buys a cycle for rs . 1600 and sells it at a loss of 10 % . what is the selling price of the cycle ?", - "Output Program": [ - "n0 = 1600.0\nn1 = 10.0\nt0 = 100.0 - n1\nt1 = n0 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1440" - ], - "split": "train" - }, - { - "Input": "tickets to a certain concert sell for $ 20 each . the first 10 people to show up at the ticket booth received a 40 % discount , and the next 20 received a 15 % discount . if 48 people bought tickets to the concert , what was the total revenue from ticket sales ?", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nn2 = 40.0\nn3 = 20.0\nn4 = 15.0\nn5 = 48.0\nt0 = n2 / 100.0\nt1 = n4 / 100.0\nt2 = n5 - n0\nt3 = 1.0 - t0\nt4 = t2 - n1\nt5 = 1.0 - t1\nt6 = n1 * t3\nt7 = n0 * t5\nt8 = t6 + t4\nt9 = t8 + t7\nanswer = n0 * t9\nprint(answer)" - ], - "Output Answer": [ - "820" - ], - "split": "train" - }, - { - "Input": "the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs . 144 . find the principal ?", - "Output Program": [ - "n0 = 2.0\nn1 = 20.0\nn2 = 144.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n0 * t0\nt3 = t2 + 1.0\nt4 = t1**min(n0, 5)\nt5 = t4 - t3\nanswer = n2 / t5\nprint(answer)" - ], - "Output Answer": [ - "3599.999999999997" - ], - "split": "train" - }, - { - "Input": "a distributor sells a product through an on - line store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 15 per item . what is the price that the buyer observers on - line if the distributor wants to maintain a 10 % profit on the cost of the item ?", - "Output Program": [ - "n0 = 20.0\nn1 = 15.0\nn2 = 10.0\nt0 = n0 + 100.0\nt1 = n2 + 100.0\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = n1 * t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "19.8" - ], - "split": "train" - }, - { - "Input": "in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 20 percent , but profits were 11 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?", - "Output Program": [ - "n0 = 2008.0\nn1 = 10.0\nn2 = 2009.0\nn3 = 20.0\nn4 = 11.0\nn5 = 2009.0\nn6 = 2008.0\nt0 = n3 / 100.0\nt1 = 1.0 - t0\nt2 = n4 * t1\nt3 = t2 / n1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "88.00000000000001" - ], - "split": "train" - }, - { - "Input": "a sum of rs . 2795 is lent into two parts so that the interest on the first part for 8 years at 3 % per annum may be equal to the interest on the second part for 3 years at 5 % per annum . find the second sum ?", - "Output Program": [ - "n0 = 2795.0\nn1 = 8.0\nn2 = 3.0\nn3 = 3.0\nn4 = 5.0\nt0 = n2 * n4\nt1 = n1 * n2\nt2 = t0 + t1\nt3 = n0 * t0\nt4 = t3 / t2\nanswer = n0 - t4\nprint(answer)" - ], - "Output Answer": [ - "1720" - ], - "split": "train" - }, - { - "Input": "if 85 % of 3 / 5 of a number is 36 , then the number is ?", - "Output Program": [ - "n0 = 85.0\nn1 = 3.0\nn2 = 5.0\nn3 = 36.0\nt0 = n0 / 100.0\nt1 = n1 / n2\nt2 = t0 * t1\nanswer = n3 / t2\nprint(answer)" - ], - "Output Answer": [ - "70.58823529411765" - ], - "split": "train" - }, - { - "Input": "machine a produces 100 parts twice as fast as machine b does . machine b produces 100 parts in 40 minutes . if each machine produces parts at a constant rate , how many parts does machine a produce in 10 minutes ?", - "Output Program": [ - "n0 = 100.0\nn1 = 100.0\nn2 = 40.0\nn3 = 10.0\nt0 = n0 / n2\nt1 = t0 * 2.0\nanswer = n3 * t1\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "in the fifth grade at parkway elementary school there are 420 students . 312 students are boys and 250 students are playing soccer . 82 % of the students that play soccer are boys . how many girl student are in parkway that is not playing soccer ?", - "Output Program": [ - "n0 = 420.0\nn1 = 312.0\nn2 = 250.0\nn3 = 82.0\nt0 = n2 * n3\nt1 = n0 - n1\nt2 = t0 / 100.0\nt3 = n2 - t2\nanswer = t1 - t3\nprint(answer)" - ], - "Output Answer": [ - "63" - ], - "split": "train" - }, - { - "Input": "ramesh purchased a refrigerator for rs . 12500 after getting a discount of 20 % on the labelled price . he spent rs . 125 on transport and rs . 250 on installation . at what price should it be sold so that the profit earned would be 12 % if no discount was offered ?", - "Output Program": [ - "n0 = 12500.0\nn1 = 20.0\nn2 = 125.0\nn3 = 250.0\nn4 = 12.0\nt0 = n4 + 100.0\nt1 = n2 + n3\nt2 = n0 * 100.0\nt3 = 100.0 - n1\nt4 = t2 / t3\nt5 = t1 + t4\nt6 = t0 * t5\nanswer = t6 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "17920" - ], - "split": "train" - }, - { - "Input": "ms . lopez deposits $ 100 in an account that pays 20 % interest , compounded semiannually . how much money will there be in the account at the end of one year ?", - "Output Program": [ - "n0 = 100.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = t0 / 2.0\nt2 = t1 + 1.0\nt3 = t2**min(2.0, 5)\nanswer = n0 * t3\nprint(answer)" - ], - "Output Answer": [ - "121.00000000000001" - ], - "split": "train" - }, - { - "Input": "at what price must an article costing rs . 51.50 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 25 % on the cost price ?", - "Output Program": [ - "n0 = 51.5\nn1 = 5.0\nn2 = 25.0\nt0 = n0 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 + t2\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "67.76315789473684" - ], - "split": "train" - }, - { - "Input": "a sum of rs . 2704 is lent into two parts so that the interest on the first part for 8 years at 3 % per annum may be equal to the interest on the second part for 3 years at 5 % per annum . find the second sum ?", - "Output Program": [ - "n0 = 2704.0\nn1 = 8.0\nn2 = 3.0\nn3 = 3.0\nn4 = 5.0\nt0 = n2 * n4\nt1 = n1 * n2\nt2 = t0 + t1\nt3 = n0 * t0\nt4 = t3 / t2\nanswer = n0 - t4\nprint(answer)" - ], - "Output Answer": [ - "1664" - ], - "split": "train" - }, - { - "Input": "150 is increased by 40 % . find the final number .", - "Output Program": [ - "n0 = 150.0\nn1 = 40.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "210" - ], - "split": "train" - }, - { - "Input": "a person ' s salary is getting reduced by 20 % . what percentage should be added to get back his original salary ?", - "Output Program": [ - "n0 = 20.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = 1.0 / t1\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "at what price must an book costing $ 47.50 be marked in order that after deducting 12 % from the list price . it may be sold at a profit of 25 % on the cost price ?", - "Output Program": [ - "n0 = 47.5\nn1 = 12.0\nn2 = 25.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = n0 * t0\nt3 = t2 / 100.0\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "67.4715909090909" - ], - "split": "train" - }, - { - "Input": "an inspector rejects 0.05 % of the meters as defective . how many will he examine to reject 2 ?", - "Output Program": [ - "n0 = 0.05\nn1 = 2.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "4000" - ], - "split": "train" - }, - { - "Input": "running at the same rate , 8 identical machines can produce 560 paperclips a minute . at this rate , how many paperclips could 15 machines produce in 6 minutes ?", - "Output Program": [ - "n0 = 8.0\nn1 = 560.0\nn2 = 15.0\nn3 = 6.0\nt0 = n2 / n0\nt1 = n1 * t0\nanswer = n3 * t1\nprint(answer)" - ], - "Output Answer": [ - "6300" - ], - "split": "train" - }, - { - "Input": "if the cost price of 17 articles is equal to the selling price of 16 articles , what is the percentage of profit or loss that the merchant makes ?", - "Output Program": [ - "n0 = 17.0\nn1 = 16.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = 100.0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "6.249999999999992" - ], - "split": "train" - }, - { - "Input": "according to a recent student poll , 4 / 5 out of 20 members of the finance club are interested in a career in investment banking . if two students are chosen at random , what is the probability that at least one of them is interested in investment banking ?", - "Output Program": [ - "import scipy\nn0 = 4.0\nn1 = 5.0\nn2 = 20.0\nt0 = scipy.special.comb(n2, 2.0)\nt1 = n0 / n1\nt2 = n2 * t1\nt3 = n2 - t2\nt4 = scipy.special.comb(t3, 2.0)\nt5 = t0 - t4\nanswer = t5 / t0\nprint(answer)" - ], - "Output Answer": [ - "0.968421052631579" - ], - "split": "train" - }, - { - "Input": "a candidate who gets 30 % of the marks fails by 30 marks . but another candidate who gets 45 % marks gets 15 marks more than necessary for passing . find the number of marks for passing ?", - "Output Program": [ - "n0 = 30.0\nn1 = 30.0\nn2 = 45.0\nn3 = 15.0\nt0 = n1 + n3\nt1 = n2 / 100.0\nt2 = n0 / 100.0\nt3 = t1 - t2\nt4 = t0 / t3\nt5 = t4 * t2\nanswer = n1 + t5\nprint(answer)" - ], - "Output Answer": [ - "119.99999999999999" - ], - "split": "train" - }, - { - "Input": "find the compound interest accrued on an amount of rs . 14,800 at 13.5 % p . a at the end of two years . ( round off your answer to nearest integer ?", - "Output Program": [ - "n0 = 14800.0\nn1 = 13.5\nt0 = 3.0 + 4.0\nt1 = 2.0 + 3.0\nt2 = n1 / 100.0\nt3 = t2 + 1.0\nt4 = t0 * 2.0\nt5 = t1 * 2.0\nt6 = t5 * 100.0\nt7 = t3**min(2.0, 5)\nt8 = t5 - 2.0\nt9 = t4 * t6\nt10 = t8 * 100.0\nt11 = t7 - 1.0\nt12 = t9 + t10\nanswer = t12 * t11\nprint(answer)" - ], - "Output Answer": [ - "4265.73" - ], - "split": "train" - }, - { - "Input": "the amount of principal rs . 8000 at compound interest at the ratio of 5 % p . a . for 2 years is", - "Output Program": [ - "n0 = 8000.0\nn1 = 5.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "8820" - ], - "split": "train" - }, - { - "Input": "a shirt goes on sale for 90 % of its original price . one week later , the sale price is marked down 10 % . the final price is what percent of the original price ?", - "Output Program": [ - "n0 = 90.0\nn1 = 10.0\nt0 = n0 / 100.0\nt1 = n1 * t0\nanswer = n0 - t1\nprint(answer)" - ], - "Output Answer": [ - "81" - ], - "split": "train" - }, - { - "Input": "in a certain parking lot , 2 % of the cars are towed for parking illegally . however 80 % of the cars which are parked illegally are not towed . what percentage of cars in the parking lot are parked illegally ?", - "Output Program": [ - "n0 = 2.0\nn1 = 80.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "9.999999999999998" - ], - "split": "train" - }, - { - "Input": "you enter a weight loss challenge game and manage to lose 11 % of your body weight . for the final weigh in you are forced to wear clothes that add 2 % to your weight . what percentage of weight loss is measured at the final weigh in ?", - "Output Program": [ - "n0 = 11.0\nn1 = 2.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = 1.0 - t4\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "9.219999999999995" - ], - "split": "train" - }, - { - "Input": "a , b and c started a business with capitals of rs . 8000 , rs . 10000 and rs . 12000 respectively . at the end of the year , the profit share of b is rs . 1500 . the difference between the profit shares of a and c is ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 10000.0\nn2 = 12000.0\nn3 = 1500.0\nt0 = n2 / n1\nt1 = n0 / n1\nt2 = t0 - t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "599.9999999999999" - ], - "split": "train" - }, - { - "Input": "what quantity of water should taken out to concentrate 12 liters of 40 % acidic liquid to 60 % acidic liquid ?", - "Output Program": [ - "n0 = 12.0\nn1 = 40.0\nn2 = 60.0\nt0 = n0 * n1\nt1 = t0 / n2\nanswer = n0 - t1\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "john had a stock of 700 books in his bookshop . he sold 50 on monday , 82 on tuesday , 60 on wednesday , 48 on thursday and 40 on friday . what percentage of the books were not sold ?", - "Output Program": [ - "n0 = 700.0\nn1 = 50.0\nn2 = 82.0\nn3 = 60.0\nn4 = 48.0\nn5 = 40.0\nt0 = n1 + n2\nt1 = n3 + n4\nt2 = t0 + t1\nt3 = n5 + t2\nt4 = n0 - t3\nt5 = t4 / n0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "a reduction in the price of petrol by 10 % enables a motorist to buy 5 gallons more for $ 190 . find the original price of petrol ?", - "Output Program": [ - "n0 = 10.0\nn1 = 5.0\nn2 = 190.0\nt0 = n0 / 100.0\nt1 = 1.0 / 2.0\nt2 = 1.0 - t0\nt3 = n1 - t1\nt4 = n2 * t2\nt5 = n2 - t4\nanswer = t5 / t3\nprint(answer)" - ], - "Output Answer": [ - "4.222222222222222" - ], - "split": "train" - }, - { - "Input": "in an election , candidate a got 80 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favor of candidate ?", - "Output Program": [ - "n0 = 80.0\nn1 = 15.0\nn2 = 560000.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = 1.0 - t1\nt3 = n2 * t2\nanswer = t0 * t3\nprint(answer)" - ], - "Output Answer": [ - "380800" - ], - "split": "train" - }, - { - "Input": "a worker is paid a regular rate of rs . 10 for completing a survey . the worker completes 100 surveys per week . for any survey involving the use of her cellphone , she is paid at a rate of that is 30 % higher than her regular rate . if she completed 60 surveys involving the use of her cellphone , how much did she get that week ?", - "Output Program": [ - "n0 = 10.0\nn1 = 100.0\nn2 = 30.0\nn3 = 60.0\nt0 = n2 / n1\nt1 = n0 * n1\nt2 = n0 * t0\nt3 = n3 * t2\nanswer = t1 + t3\nprint(answer)" - ], - "Output Answer": [ - "1180" - ], - "split": "train" - }, - { - "Input": "find the 25 % of rs . 500 .", - "Output Program": [ - "n0 = 25.0\nn1 = 500.0\nt0 = n0 / 100.0\nanswer = n1 * t0\nprint(answer)" - ], - "Output Answer": [ - "125" - ], - "split": "train" - }, - { - "Input": "the price of a jacket is reduced by 25 % . during a special sale the price of the jacket is reduced another 15 % . by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount ?", - "Output Program": [ - "n0 = 25.0\nn1 = 15.0\nt0 = n1 / 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t1 - t2\nt4 = 100.0 - t3\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "56.86274509803921" - ], - "split": "train" - }, - { - "Input": "the principal that amounts to rs . 4913 in 3 years at 6 1 / 4 % per annum c . i . compounded annually , is ?", - "Output Program": [ - "n0 = 4913.0\nn1 = 3.0\nn2 = 6.0\nn3 = 1.0\nn4 = 4.0\nt0 = n3 / n4\nt1 = n2 + t0\nt2 = t1 / 100.0\nt3 = t2 + n3\nt4 = t3**min(n1, 5)\nanswer = n0 / t4\nprint(answer)" - ], - "Output Answer": [ - "4096" - ], - "split": "train" - }, - { - "Input": "at what rate percent of simple interest will a sum of money double itself in 22 years ?", - "Output Program": [ - "n0 = 22.0\n\nanswer = 100.0 / n0\nprint(answer)" - ], - "Output Answer": [ - "4.545454545454546" - ], - "split": "train" - }, - { - "Input": "from january 1 , 1991 , to january 1 , 1993 , the number of people enrolled in health maintenance organizations increased by 10 percent . the enrollment on january 1 , 1993 , was 45 million . how many million people , to the nearest million , were enrolled in health maintenance organizations on january 1 , 1991 ?", - "Output Program": [ - "n0 = 1.0\nn1 = 1991.0\nn2 = 1.0\nn3 = 1993.0\nn4 = 10.0\nn5 = 1.0\nn6 = 1993.0\nn7 = 45.0\nn8 = 1.0\nn9 = 1991.0\nt0 = n4 + 100.0\nt1 = 100.0 / t0\nanswer = n7 * t1\nprint(answer)" - ], - "Output Answer": [ - "40.90909090909091" - ], - "split": "train" - }, - { - "Input": "in 1998 the profits of company n were 10 percent of revenues . in 1999 , the revenues of company n fell by 20 percent , but profits were 16 percent of revenues . the profits in 1999 were what percent of the profits in 1998 ?", - "Output Program": [ - "n0 = 1998.0\nn1 = 10.0\nn2 = 1999.0\nn3 = 20.0\nn4 = 16.0\nn5 = 1999.0\nn6 = 1998.0\nt0 = n4 / 100.0\nt1 = n3 / 100.0\nt2 = n1 / 100.0\nt3 = 1.0 - t1\nt4 = t0 * t3\nt5 = t4 / t2\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "128" - ], - "split": "train" - }, - { - "Input": "find the 25 % of rs . 300 .", - "Output Program": [ - "n0 = 25.0\nn1 = 300.0\nt0 = n0 / 100.0\nanswer = n1 * t0\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "train" - }, - { - "Input": "a reduction of 50 % in the price of apples would enable a man to obtain 50 more for rs . 50 , what is reduced price per dozen ?", - "Output Program": [ - "n0 = 50.0\nn1 = 50.0\nn2 = 50.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nt2 = t1 / n1\nanswer = t2 * 12.0\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "exactly 18 % of the reporters for a certain wire service cover local politics in country x . if 40 % of the reporters who cover politics for the wire service do not cover local politics in country x , what percent of the reporters for the wire service do not cover politics ?", - "Output Program": [ - "n0 = 18.0\nn1 = 40.0\nt0 = 100.0 - n1\nt1 = n0 / t0\nt2 = 1.0 - t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "70" - ], - "split": "train" - }, - { - "Input": "compound interest of rs . 5000 at 10 % per annum for 1 1 / 2 years will be ( interest compounded half yearly ) .", - "Output Program": [ - "n0 = 5000.0\nn1 = 10.0\nn2 = 1.0\nn3 = 1.0\nn4 = 2.0\nt0 = n1 / n4\nt1 = n2 / n4\nt2 = n2 + t1\nt3 = t0 / 100.0\nt4 = t3 + n2\nt5 = t2 * n4\nt6 = t4**min(t5, 5)\nt7 = n0 * t6\nanswer = t7 - n0\nprint(answer)" - ], - "Output Answer": [ - "788.1250000000009" - ], - "split": "train" - }, - { - "Input": "the credit card and a global payment processing companies have been suffering losses for some time now . a well known company recently announced its quarterly results . according to the results , the revenue fell to $ 52.0 billion from $ 69.0 billion , a year ago . by what percent did the revenue fall ?", - "Output Program": [ - "n0 = 52.0\nn1 = 69.0\nt0 = n1 - n0\nt1 = t0 / n1\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "24.637681159420293" - ], - "split": "train" - }, - { - "Input": "after paying a 10 percent tax on all income over $ 3000 , a person had a net income of $ 12000 . what was the income before taxes ?", - "Output Program": [ - "n0 = 10.0\nn1 = 3000.0\nn2 = 12000.0\nt0 = n0 / 100.0\nt1 = n1 * t0\nt2 = 1.0 - t0\nt3 = n2 - t1\nanswer = t3 / t2\nprint(answer)" - ], - "Output Answer": [ - "13000" - ], - "split": "train" - }, - { - "Input": "sam invested rs . 8000 @ 10 % per annum for one year . if the interest is compounded half - yearly , then the amount received by sam at the end of the year will be ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 10.0\nt0 = n1 / 2.0\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nt3 = t2**min(2.0, 5)\nanswer = n0 * t3\nprint(answer)" - ], - "Output Answer": [ - "8820" - ], - "split": "train" - }, - { - "Input": "the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 13 . if p invested the money for 5 months , find for how much time did q invest the money ?", - "Output Program": [ - "n0 = 7.0\nn1 = 5.0\nn2 = 7.0\nn3 = 13.0\nn4 = 5.0\nt0 = n0 / n1\nt1 = n3 / n2\nt2 = t0 * t1\nanswer = n4 * t2\nprint(answer)" - ], - "Output Answer": [ - "13" - ], - "split": "train" - }, - { - "Input": "i bought two books ; for rs . 300 . i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price . find the cost of the book sold at a loss ?", - "Output Program": [ - "n0 = 300.0\nn1 = 15.0\nn2 = 19.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = t0 + t1\nt3 = n0 * t0\nanswer = t3 / t2\nprint(answer)" - ], - "Output Answer": [ - "175" - ], - "split": "train" - }, - { - "Input": "a cricket bat is sold for $ 900 , making a profit of $ 100 . the profit percentage would be", - "Output Program": [ - "n0 = 900.0\nn1 = 100.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12.5" - ], - "split": "train" - }, - { - "Input": "a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 65 percent of books that were loaned out are returned and there are 54 books in the special collection at that time , how many books of the special collection were loaned out during that month ?", - "Output Program": [ - "n0 = 75.0\nn1 = 65.0\nn2 = 54.0\nt0 = n1 / 100.0\nt1 = n0 - n2\nt2 = 1.0 - t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "60.00000000000001" - ], - "split": "train" - }, - { - "Input": "the profits of qrs company rose 50 % from march to april , then dropped 20 % from april to may , then rose 50 % from may to june . what was the percent increase for the whole quarter , from march to june ?", - "Output Program": [ - "n0 = 50.0\nn1 = 20.0\nn2 = 50.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 + 1.0\nt4 = t1 + 1.0\nt5 = 1.0 - t2\nt6 = t4 * t5\nt7 = t3 * t6\nt8 = t7 - 1.0\nanswer = t8 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "80.00000000000003" - ], - "split": "train" - }, - { - "Input": "in order to obtain an income of rs . 450 from 10 % stock at rs . 108 , one must make an investment of", - "Output Program": [ - "n0 = 450.0\nn1 = 10.0\nn2 = 108.0\nt0 = n2 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "4860" - ], - "split": "train" - }, - { - "Input": "the weight of a glass of jar is 40 % of the weight of the jar filled with coffee beans . after some of the beans have been removed , the weight of the jar and the remaining beans is 60 % of the original total weight . what fraction part of the beans remain in the jar ?", - "Output Program": [ - "n0 = 40.0\nn1 = 60.0\nt0 = n1 - n0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.3333333333333333" - ], - "split": "train" - }, - { - "Input": "one night 10 percent of the female officers on a police force were on duty . if 200 officers were on duty that night and half of these were female officers , how many female officers were on the police force ?", - "Output Program": [ - "n0 = 10.0\nn1 = 200.0\nt0 = n1 / 2.0\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "train" - }, - { - "Input": "in a company , 56 percent of the employees are men . if 60 percent of the employees are unionized and 70 percent of these are men , what percent of the non - union employees are women ?", - "Output Program": [ - "n0 = 56.0\nn1 = 60.0\nn2 = 70.0\nt0 = n2 / 100.0\nt1 = 100.0 - n0\nt2 = 100.0 - n1\nt3 = n1 * t0\nt4 = n1 - t3\nt5 = t1 - t4\nt6 = t5 / t2\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "65" - ], - "split": "train" - }, - { - "Input": "an article is bought for rs . 560 and sold for rs . 340 , find the loss percent ?", - "Output Program": [ - "n0 = 560.0\nn1 = 340.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nanswer = 100.0 - t1\nprint(answer)" - ], - "Output Answer": [ - "39.285714285714285" - ], - "split": "train" - }, - { - "Input": "a trader sells 40 metres of cloth for rs . 8200 at a profit of rs . 35 per metre of cloth . how much profit will the trder earn on 40 metres of cloth ?", - "Output Program": [ - "n0 = 40.0\nn1 = 8200.0\nn2 = 35.0\nn3 = 40.0\n\nanswer = n0 * n2\nprint(answer)" - ], - "Output Answer": [ - "1400" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 200 after successive discount is 20 % and 10 % is ?", - "Output Program": [ - "n0 = 200.0\nn1 = 20.0\nn2 = 10.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "144" - ], - "split": "train" - }, - { - "Input": "the manufacturing cost of a shoe is rs . 200 and the transportation lost is rs . 500 for 100 shoes . what will be the selling price if it is sold at 20 % gains", - "Output Program": [ - "n0 = 200.0\nn1 = 500.0\nn2 = 100.0\nn3 = 20.0\nt0 = n1 / n2\nt1 = n3 / n2\nt2 = n0 + t0\nt3 = t2 * t1\nanswer = t2 + t3\nprint(answer)" - ], - "Output Answer": [ - "246" - ], - "split": "train" - }, - { - "Input": "find the compound interest on $ 10,000 in 2 years at 4 % per annum , the interest being compounded half - yearly", - "Output Program": [ - "n0 = 10000.0\nn1 = 2.0\nn2 = 4.0\nt0 = n2 / 100.0\nt1 = t0 / n1\nt2 = t1 + 1.0\nt3 = t2**min(n2, 5)\nt4 = n0 * t3\nanswer = t4 - n0\nprint(answer)" - ], - "Output Answer": [ - "824.3215999999993" - ], - "split": "train" - }, - { - "Input": "in some quantity of ghee , 50 % is pure ghee and 50 % is vanaspati . if 20 kg of pure ghee is added , then the strength of vanaspati ghee becomes 30 % . the original quantity was ?", - "Output Program": [ - "n0 = 50.0\nn1 = 50.0\nn2 = 20.0\nn3 = 30.0\nt0 = n2 * n3\nt1 = n1 - n3\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "at what price must an article costing rs . 38 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 25 % on the cost price ?", - "Output Program": [ - "n0 = 38.0\nn1 = 5.0\nn2 = 25.0\nt0 = n0 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 + t2\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "if the given two numbers are respectively 6 % and 18 % of a third number , then what percentage is the first of the second ?", - "Output Program": [ - "n0 = 6.0\nn1 = 18.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "train" - }, - { - "Input": "a 4 % stock yield 5 % . the market value of the stock is ?", - "Output Program": [ - "n0 = 4.0\nn1 = 5.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "rani bought more apples than oranges . she sells apples at \u20b9 23 apiece and makes 15 % profit . she sells oranges at \u20b9 10 apiece and makes 25 % profit . if she gets \u20b9 653 after selling all the apples and oranges , find her profit percentage c .", - "Output Program": [ - "n0 = 23.0\nn1 = 15.0\nn2 = 10.0\nn3 = 25.0\nn4 = 653.0\nt0 = n1 + 2.0\nt1 = n3 / 100.0\nt2 = n2 * 2.0\nt3 = t2 + 1.0\nt4 = t1 + 1.0\nt5 = n2 / t4\nt6 = t3 * t2\nt7 = t0 * t5\nt8 = t6 + t7\nt9 = n4 - t8\nt10 = t9 / t8\nanswer = t10 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "17.446043165467625" - ], - "split": "train" - }, - { - "Input": "john had a stock of 1100 books in his bookshop . he sold 75 on monday , 50 on tuesday , 64 on wednesday , 78 on thursday and 135 on friday . what percentage of the books were not sold ?", - "Output Program": [ - "n0 = 1100.0\nn1 = 75.0\nn2 = 50.0\nn3 = 64.0\nn4 = 78.0\nn5 = 135.0\nt0 = n1 + n2\nt1 = n3 + n4\nt2 = t0 + t1\nt3 = n5 + t2\nt4 = n0 - t3\nt5 = t4 / n0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "63.45454545454545" - ], - "split": "train" - }, - { - "Input": "rs . 900 becomes rs . 956 in 3 years at a certain rate of simple interest . if the rate of interest is increased by 4 % , what amount will rs . 900 become in 3 years ?", - "Output Program": [ - "n0 = 900.0\nn1 = 956.0\nn2 = 3.0\nn3 = 4.0\nn4 = 900.0\nn5 = 3.0\nt0 = n0 * n2\nt1 = n1 - n0\nt2 = t1 * 100.0\nt3 = t2 / t0\nt4 = n3 + t3\nt5 = n0 * t4\nt6 = n2 * t5\nt7 = t6 / 100.0\nanswer = n0 + t7\nprint(answer)" - ], - "Output Answer": [ - "1064" - ], - "split": "train" - }, - { - "Input": "running at the same rate , 8 identical machines can produce 560 paperclips a minute . at this rate , how many paperclips could 12 machines produce in 6 minutes ?", - "Output Program": [ - "n0 = 8.0\nn1 = 560.0\nn2 = 12.0\nn3 = 6.0\nt0 = n2 / n0\nt1 = n1 * t0\nanswer = n3 * t1\nprint(answer)" - ], - "Output Answer": [ - "5040" - ], - "split": "train" - }, - { - "Input": "fresh grapes contain 90 % by weight while dried grapes contain 20 % water by weight . what is the weight of dry grapes available from 20 kg of fresh grapes ?", - "Output Program": [ - "n0 = 90.0\nn1 = 20.0\nn2 = 20.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = n2 * t0\nt3 = t2 / 100.0\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2.5" - ], - "split": "train" - }, - { - "Input": "in order to obtain an income of rs . 680 from 10 % stock at rs . 120 , one must make an investment of", - "Output Program": [ - "n0 = 680.0\nn1 = 10.0\nn2 = 120.0\nt0 = n2 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "8160" - ], - "split": "train" - }, - { - "Input": "the price of stock decreased by 8 % last year and rose by 10 % this year . what is the net percentage change in the price of the stock ?", - "Output Program": [ - "n0 = 8.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "1.2000000000000233" - ], - "split": "train" - }, - { - "Input": "if a man lost 1 % by selling oranges at the rate of 16 a rupee at how many a rupee must he sell them to gain 44 % ?", - "Output Program": [ - "n0 = 1.0\nn1 = 16.0\nn2 = 44.0\nt0 = n2 + 100.0\nt1 = 100.0 - n0\nt2 = n1 * t1\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "11" - ], - "split": "train" - }, - { - "Input": "running at the same constant rate , 6 identical machines can produce a total of 390 bottles per minute . at this rate , how many bottles could 10 such machines produce in 4 minutes ?", - "Output Program": [ - "n0 = 6.0\nn1 = 390.0\nn2 = 10.0\nn3 = 4.0\nt0 = n1 / n0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "2600" - ], - "split": "train" - }, - { - "Input": "if x is invested in a bank at a rate of simple interest of y % p . a . for two years , then the interest earned is 400 . if x is invested at y % p . a . , for two years when the interest is compounded annually , the interest is 410 . what is the value of x ?", - "Output Program": [ - "n0 = 400.0\nn1 = 410.0\nt0 = n0 / 2.0\nt1 = n1 - n0\nt2 = t0**min(2.0, 5)\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "4000" - ], - "split": "train" - }, - { - "Input": "a cricket bat is sold for $ 900 , making a profit of $ 225 . the profit percentage would be", - "Output Program": [ - "n0 = 900.0\nn1 = 225.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "train" - }, - { - "Input": "heinz produces tomato puree by boiling tomato juice . the tomato puree has only 20 % water while the tomato juice has 90 % water . how many liters of tomato puree will be obtained from 30 litres of tomato juice ?", - "Output Program": [ - "n0 = 20.0\nn1 = 90.0\nn2 = 30.0\nt0 = 100.0 - n1\nt1 = 100.0 - n0\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = n2 * t2\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "3.75" - ], - "split": "train" - }, - { - "Input": "how many ounces of a 60 % salt solution must be added to 40 ounces of a 20 percent salt solution so that the resulting mixture is 40 % salt ?", - "Output Program": [ - "n0 = 60.0\nn1 = 40.0\nn2 = 20.0\nn3 = 40.0\nt0 = n3 / 100.0\nt1 = n2 / 100.0\nt2 = n1 * t0\nt3 = n1 * t1\nt4 = t0 - t1\nt5 = t2 - t3\nanswer = t5 / t4\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "if the cost price of 50 articles is equal to the selling price of 46 articles , then the gain or loss percent is ?", - "Output Program": [ - "n0 = 50.0\nn1 = 46.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = 100.0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "8.695652173913043" - ], - "split": "train" - }, - { - "Input": "in an election between two candidates , the winner has a margin of 10 % of the votes polled . if 2000 people change their mind and vote for the loser , the loser would have won by a margin of 10 % of the votes polled . find the total number of votes polled in the election ?", - "Output Program": [ - "n0 = 10.0\nn1 = 2000.0\nn2 = 10.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "20000" - ], - "split": "train" - }, - { - "Input": "bruce purchased 7 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 7.0\nn1 = 70.0\nn2 = 9.0\nn3 = 55.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "985" - ], - "split": "train" - }, - { - "Input": "a , b and c started a business with capitals of rs . 8000 , rs . 10000 and rs . 12000 respectively . at the end of the year , the profit share of b is rs . 2000 . the difference between the profit shares of a and c is ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 10000.0\nn2 = 12000.0\nn3 = 2000.0\nt0 = n2 / n1\nt1 = n0 / n1\nt2 = t0 - t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "799.9999999999998" - ], - "split": "train" - }, - { - "Input": "a broker invested her own money in the stock market . during the first year , she increased her stock market wealth by 50 percent . in the second year , largely as a result of a slump in the stock market , she suffered a 30 percent decrease in the value of her stock investments . what was the net increase or decrease on her overall stock investment wealth by the end of the second year ?", - "Output Program": [ - "n0 = 50.0\nn1 = 30.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "4.999999999999982" - ], - "split": "train" - }, - { - "Input": "shop offered 20 % offer for every shirt , smith bought a shirt at rs . 780 . and what was the shop ' s original selling price ?", - "Output Program": [ - "n0 = 20.0\nn1 = 780.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "975" - ], - "split": "train" - }, - { - "Input": "find the simple interest on $ 10000 at 5 % per annum for 12 months ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 5.0\nn2 = 12.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "train" - }, - { - "Input": "if the given two numbers are respectively 8 % and 16 % of a third number , then what percentage is the first of the second ?", - "Output Program": [ - "n0 = 8.0\nn1 = 16.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "the difference between simple interest and compound interest on $ 1200 for one year at 10 % per annum reckoned half - yearly is :", - "Output Program": [ - "n0 = 1200.0\nn1 = 10.0\nt0 = n1 / 2.0\nt1 = n0 * n1\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 + 1.0\nt5 = t4**min(2.0, 5)\nt6 = n0 * t5\nt7 = t6 - n0\nanswer = t7 - t3\nprint(answer)" - ], - "Output Answer": [ - "3" - ], - "split": "train" - }, - { - "Input": "due to a reduction of 25 / 4 % in the price of sugar , a man is able to buy 1 kg more for rs . 120 . find the original rate of sugar .", - "Output Program": [ - "n0 = 25.0\nn1 = 4.0\nn2 = 1.0\nn3 = 120.0\nt0 = n0 / n1\nt1 = t0 / 100.0\nt2 = 100.0 - t0\nt3 = t2 / 100.0\nt4 = n3 * t1\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "in an office in singapore there are 60 % female employees . 50 % of all the male employees are computer literate . if there are total 62 % employees computer literate out of total 1600 employees , then the no . of female employees who are computer literate ?", - "Output Program": [ - "n0 = 60.0\nn1 = 50.0\nn2 = 62.0\nn3 = 1600.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 / 100.0\nt3 = 1.0 - t2\nt4 = t1 * t3\nt5 = t0 - t4\nanswer = n3 * t5\nprint(answer)" - ], - "Output Answer": [ - "672" - ], - "split": "train" - }, - { - "Input": "shop offered 20 % offer for every shirt , smith bought a shirt at rs . 560 . and what was the shop ' s original selling price ?", - "Output Program": [ - "n0 = 20.0\nn1 = 560.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "700" - ], - "split": "train" - }, - { - "Input": "the present worth of $ 3600 due in 2 years at 20 % per annum compound interest is ?", - "Output Program": [ - "n0 = 3600.0\nn1 = 2.0\nn2 = 20.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "2500" - ], - "split": "train" - }, - { - "Input": "harkamal purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 60 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 8.0\nn1 = 70.0\nn2 = 9.0\nn3 = 60.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1100" - ], - "split": "train" - }, - { - "Input": "what will be the difference between simple and compound interest at 10 % per annum on a sum of rs . 1000 after 4 years ?", - "Output Program": [ - "n0 = 10.0\nn1 = 1000.0\nn2 = 4.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = n1 * t0\nt3 = n2 * t2\nt4 = t1**min(n2, 5)\nt5 = n1 * t4\nt6 = t5 - n1\nanswer = t6 - t3\nprint(answer)" - ], - "Output Answer": [ - "64.10000000000036" - ], - "split": "train" - }, - { - "Input": "a sum was put a simple interest at a certain rate for 3 years . had it been put at 3 % higher rate , it would have fetched rs . 90 more . the sum is :", - "Output Program": [ - "n0 = 3.0\nn1 = 3.0\nn2 = 90.0\nt0 = n2 / n0\nt1 = t0 / n1\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "train" - }, - { - "Input": "at what rate percent on simple interest will rs . 650 amount to rs . 950 in 5 years ?", - "Output Program": [ - "n0 = 650.0\nn1 = 950.0\nn2 = 5.0\nt0 = n1 - n0\nt1 = t0 / n0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "9.230769230769232" - ], - "split": "train" - }, - { - "Input": "a sum was put at simple interest at a certain rate for 10 years . had it been put at 5 % higher rate , it would have fetched rs . 400 more . what was the sum ?", - "Output Program": [ - "n0 = 10.0\nn1 = 5.0\nn2 = 400.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "train" - }, - { - "Input": "p and q invested in a business . the profit earned was divided in the ratio 2 : 3 . if p invested rs 30000 , the amount invested by q is", - "Output Program": [ - "n0 = 2.0\nn1 = 3.0\nn2 = 30000.0\nt0 = n2 / n0\nanswer = n1 * t0\nprint(answer)" - ], - "Output Answer": [ - "45000" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 200 after successive discount is 20 % and 5 % is ?", - "Output Program": [ - "n0 = 200.0\nn1 = 20.0\nn2 = 5.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "152" - ], - "split": "train" - }, - { - "Input": "running at the same constant rate , 4 identical machines can produce a total of 16 bottles per minute . at this rate , how many bottles could 8 such machines produce in 3 minutes ?", - "Output Program": [ - "n0 = 4.0\nn1 = 16.0\nn2 = 8.0\nn3 = 3.0\nt0 = n1 / n0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "96" - ], - "split": "train" - }, - { - "Input": "jerry went to a shop and bought things worth rs . 25 , out of which 30 $ went on sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ?", - "Output Program": [ - "n0 = 25.0\nn1 = 30.0\nn2 = 6.0\nt0 = n1 / 100.0\nt1 = 100.0 / n2\nt2 = t0 * t1\nt3 = t0 + t2\nanswer = n0 - t3\nprint(answer)" - ], - "Output Answer": [ - "19.7" - ], - "split": "train" - }, - { - "Input": "exactly 10 % of the reporters for a certain wire service cover local politics in country x . if 30 % of the reporters who cover politics for the wire service do not cover local politics in country x , what percent of the reporters for the wire service do not cover politics ?", - "Output Program": [ - "n0 = 10.0\nn1 = 30.0\nt0 = 100.0 - n1\nt1 = n0 / t0\nt2 = 1.0 - t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "85.71428571428572" - ], - "split": "train" - }, - { - "Input": "at what rate percent of simple interest will a sum of money double itself in 44 years ?", - "Output Program": [ - "n0 = 44.0\n\nanswer = 100.0 / n0\nprint(answer)" - ], - "Output Answer": [ - "2.272727272727273" - ], - "split": "train" - }, - { - "Input": "which is greatest in 16 ( 2 / 3 ) % , 2 / 5 and 0.17 ?", - "Output Program": [ - "n0 = 16.0\nn1 = 2.0\nn2 = 3.0\nn3 = 2.0\nn4 = 5.0\nn5 = 0.17\n\nanswer = n5 * 1.0\nprint(answer)" - ], - "Output Answer": [ - "0.17" - ], - "split": "train" - }, - { - "Input": "a babysitter is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 30 hours per week . for any overtime hours worked in excess of 30 hours per week , the babysitter is paid a rate that is 75 % higher than his regular rate . if last week the babysitter earned $ 760 , how many total hours did she work that week ?", - "Output Program": [ - "n0 = 16.0\nn1 = 30.0\nn2 = 30.0\nn3 = 75.0\nn4 = 760.0\nt0 = n3 + 100.0\nt1 = n0 * n1\nt2 = t0 / 100.0\nt3 = n4 - t1\nt4 = n0 * t2\nt5 = t3 / t4\nanswer = n1 + t5\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "a portion of the 85 % solution of chemicals was replaced with an equal amount of 30 % solution of chemicals . as a result , 40 % solution of chemicals resulted . what part of the original solution was replaced ?", - "Output Program": [ - "n0 = 85.0\nn1 = 30.0\nn2 = 40.0\nt0 = n0 - n2\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.8181818181818182" - ], - "split": "train" - }, - { - "Input": "a trader bought a car at 5 % discount on its original price . he sold it at a 60 % increase on the price he bought it . what percent of profit did he make on the original price ?", - "Output Program": [ - "n0 = 5.0\nn1 = 60.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 / 100.0\nt4 = t3 / 100.0\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "52" - ], - "split": "train" - }, - { - "Input": "the mean daily profit made by a shopkeeper in a month of 30 days was rs . 350 . if the mean profit for the first fifteen days was rs . 275 , then the mean profit for the last 15 days would be", - "Output Program": [ - "n0 = 30.0\nn1 = 350.0\nn2 = 275.0\nn3 = 15.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 - t1\nanswer = t2 / n3\nprint(answer)" - ], - "Output Answer": [ - "425" - ], - "split": "train" - }, - { - "Input": "in a restaurant , the profit is 150 % of the cost . if the cost increases by 12 % but the selling price remains constant , approximately what percentage of the selling price is the profit ?", - "Output Program": [ - "n0 = 150.0\nn1 = 12.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t1 + 1.0\nt3 = t0 * 100.0\nt4 = t3 + 100.0\nt5 = t2 * 100.0\nt6 = t4 - t5\nt7 = t6 / t4\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "55.2" - ], - "split": "train" - }, - { - "Input": "a small college reduced its faculty by approximately 14 percent to 195 professors . what was the original number of faculty members ?", - "Output Program": [ - "n0 = 14.0\nn1 = 195.0\nt0 = 100.0 - n0\nt1 = t0 / 100.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "226.74418604651163" - ], - "split": "train" - }, - { - "Input": "one fourth of one third of two fifth of a number is 16 . what will be 40 % of that number", - "Output Program": [ - "n0 = 16.0\nn1 = 40.0\nt0 = 2.0 + 3.0\nt1 = 1.0 / 4.0\nt2 = 1.0 / 3.0\nt3 = 2.0 / t0\nt4 = t1 * t2\nt5 = t3 * t4\nt6 = n0 / t5\nt7 = n1 * t6\nanswer = t7 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "192" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sells 400 metres of cloth for $ 18000 at a loss of rs . 5 per metre . find his cost price for one metre of cloth ?", - "Output Program": [ - "n0 = 400.0\nn1 = 18000.0\nn2 = 5.0\nt0 = n1 / n0\nanswer = n2 + t0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "difference of two numbers is 1620 . if 7.5 % of the number is 12.5 % of the other number , find the number ?", - "Output Program": [ - "n0 = 1620.0\nn1 = 7.5\nn2 = 12.5\nt0 = n1 / n2\nt1 = 1.0 - t0\nt2 = n0 / t1\nanswer = t0 * t2\nprint(answer)" - ], - "Output Answer": [ - "2430" - ], - "split": "train" - }, - { - "Input": "if 5 % more is gained by selling an book for $ 350 than by selling it for $ 340 , the cost of the book is :", - "Output Program": [ - "n0 = 5.0\nn1 = 350.0\nn2 = 340.0\nt0 = n0 / 100.0\nt1 = n1 - n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "a sum was put at simple interest at a certain rate for 5 years had it been put at 6 % higher rate , it would have fetched 90 more . find the sum .", - "Output Program": [ - "n0 = 5.0\nn1 = 6.0\nn2 = 90.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "300" - ], - "split": "train" - }, - { - "Input": "machine a and machine b are each used to manufacture 220 sprockets . it takes machine a 10 hours longer to produce 220 sprockets than machine b . machine b produces 10 percent more sprockets per hour than machine a . how many sprockets per hour does machine a produces ?", - "Output Program": [ - "n0 = 220.0\nn1 = 10.0\nn2 = 220.0\nn3 = 10.0\nt0 = n1 + 100.0\nt1 = n0 * n1\nt2 = t0 / 100.0\nt3 = t2 * t1\nt4 = n0 * t2\nt5 = t4 - n0\nt6 = t3 / t5\nanswer = n0 / t6\nprint(answer)" - ], - "Output Answer": [ - "2.0000000000000027" - ], - "split": "train" - }, - { - "Input": "a cricket bat is sold for $ 900 , making a profit of $ 300 . the profit percentage would be", - "Output Program": [ - "n0 = 900.0\nn1 = 300.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a sum of rs . 2769 is lent into two parts so that the interest on the first part for 8 years at 3 % per annum may be equal to the interest on the second part for 3 years at 5 % per annum . find the second sum ?", - "Output Program": [ - "n0 = 2769.0\nn1 = 8.0\nn2 = 3.0\nn3 = 3.0\nn4 = 5.0\nt0 = n2 * n4\nt1 = n1 * n2\nt2 = t0 + t1\nt3 = n0 * t0\nt4 = t3 / t2\nanswer = n0 - t4\nprint(answer)" - ], - "Output Answer": [ - "1704" - ], - "split": "train" - }, - { - "Input": "in a certain candy store , 22 % of the customers are caught sampling the candy and are charged a small fine , but 12 % of the customers who sample the candy are not caught . what is the total percent of all customers who sample candy ?", - "Output Program": [ - "n0 = 22.0\nn1 = 12.0\nt0 = 100.0 - n1\nt1 = t0 / 100.0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "a lent rs . 5000 to b for 2 years and rs . 3000 to c for 4 years on simple interest at the same rate of interest and received rs . 1760 in all from both of them as interest . the rate of interest per annum is ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 2.0\nn2 = 3000.0\nn3 = 4.0\nn4 = 1760.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 + t1\nt3 = n4 / t2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "the banker ' s gain on a sum due 6 years hence at 12 % per annum is rs . 900 . what is the banker ' s discount ?", - "Output Program": [ - "n0 = 6.0\nn1 = 12.0\nn2 = 900.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nt2 = t0 / t1\nanswer = n2 + t2\nprint(answer)" - ], - "Output Answer": [ - "2150" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an book offering a discount of 5 % and earned a profit of 42.5 % . what would have been the percentage of profit earned if no discount was offered ?", - "Output Program": [ - "n0 = 5.0\nn1 = 42.5\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "66.2 is what percent of 1000 ?", - "Output Program": [ - "n0 = 66.2\nn1 = 1000.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "6.620000000000001" - ], - "split": "train" - }, - { - "Input": "a invested $ 150 in a business after 6 months b invested $ 200 in the business . end of the year if they got $ 100 as profit . find a shares ?", - "Output Program": [ - "n0 = 150.0\nn1 = 6.0\nn2 = 200.0\nn3 = 100.0\nt0 = n2 / 2.0\nt1 = n0 + t0\nt2 = t0 / t1\nt3 = 1.0 - t2\nanswer = n3 * t3\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "on a map , 7 centimeters represents 35 kilometers . two cities 245 kilometers apart would be separated on the map by how many centimeters ?", - "Output Program": [ - "n0 = 7.0\nn1 = 35.0\nn2 = 245.0\nt0 = n0 / n1\nanswer = n2 * t0\nprint(answer)" - ], - "Output Answer": [ - "49" - ], - "split": "train" - }, - { - "Input": "a small company reduced its faculty by approximately 14 percent to 195 employees . what was the original number of employees ?", - "Output Program": [ - "n0 = 14.0\nn1 = 195.0\nt0 = 100.0 - n0\nt1 = t0 / 100.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "226.74418604651163" - ], - "split": "train" - }, - { - "Input": "one type of liquid contains 25 % of kerosene , the other contains 30 % of kerosene . p can is filled with 6 parts of the first liquid and 4 parts of the second liquid . find the percentage of the kerosene in the new mixture .", - "Output Program": [ - "n0 = 25.0\nn1 = 30.0\nn2 = 6.0\nn3 = 4.0\nt0 = n2 + n3\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = n2 * t1\nt4 = n3 * t2\nt5 = t3 + t4\nanswer = t5 * t0\nprint(answer)" - ], - "Output Answer": [ - "27" - ], - "split": "train" - }, - { - "Input": "compound interest of rs . 6000 at 10 % per annum for 1 1 / 2 years will be ( interest compounded half yearly ) .", - "Output Program": [ - "n0 = 6000.0\nn1 = 10.0\nn2 = 1.0\nn3 = 1.0\nn4 = 2.0\nt0 = n1 / n4\nt1 = n2 / n4\nt2 = n2 + t1\nt3 = t0 / 100.0\nt4 = t3 + n2\nt5 = t2 * n4\nt6 = t4**min(t5, 5)\nt7 = n0 * t6\nanswer = t7 - n0\nprint(answer)" - ], - "Output Answer": [ - "945.7500000000009" - ], - "split": "train" - }, - { - "Input": "a side of beef lost 30 percent of its weight in processing . if the side of beef weighed 500 pounds after processing , how many pounds did it weigh before processing ?", - "Output Program": [ - "n0 = 30.0\nn1 = 500.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "714.2857142857143" - ], - "split": "train" - }, - { - "Input": "in a certain pond , 60 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?", - "Output Program": [ - "n0 = 60.0\nn1 = 50.0\nn2 = 2.0\nt0 = n2 / n1\nanswer = n0 / t0\nprint(answer)" - ], - "Output Answer": [ - "1500" - ], - "split": "train" - }, - { - "Input": "find the amount on rs . 7000 in 2 years , the rate of interest being 4 % per first year and 5 % for the second year ?", - "Output Program": [ - "n0 = 7000.0\nn1 = 2.0\nn2 = 4.0\nn3 = 5.0\nt0 = n3 + 100.0\nt1 = n2 + 100.0\nt2 = n0 * t1\nt3 = t2 / 100.0\nt4 = t0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "7644" - ], - "split": "train" - }, - { - "Input": "a merchant has 1000 kg of sugar part of which he sells at 8 % profit and the rest at 18 % profit . he gains 14 % on the whole . the quantity sold at 18 % profit is", - "Output Program": [ - "n0 = 1000.0\nn1 = 8.0\nn2 = 18.0\nn3 = 14.0\nn4 = 18.0\nt0 = 2.0 + 3.0\nt1 = n3 / 100.0\nt2 = n1 / 100.0\nt3 = t1 + 1.0\nt4 = t2 + 1.0\nt5 = t0 * 2.0\nt6 = t3 - t4\nt7 = n0 * t6\nanswer = t5 * t7\nprint(answer)" - ], - "Output Answer": [ - "600.0000000000006" - ], - "split": "train" - }, - { - "Input": "a trader sells 40 metres of cloth for rs . 8200 at a profit of rs . 25 per metre of cloth . how much profit will the trder earn on 40 metres of cloth ?", - "Output Program": [ - "n0 = 40.0\nn1 = 8200.0\nn2 = 25.0\nn3 = 40.0\n\nanswer = n0 * n2\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "train" - }, - { - "Input": "a sells a bicycle to b at a profit of 20 % . b sells it to c at a profit of 25 % . if c pays rs . 225 for it , the cost price of the bicycle for a is", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nn2 = 225.0\nt0 = n1 + 100.0\nt1 = n0 + 100.0\nt2 = n2 * 100.0\nt3 = t2 / t0\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "when sold at a 50 % discount , a sweater nets the merchant a 40 % profit on the wholesale cost at which he initially purchased the item . by what % is the sweater marked up from wholesale at its normal retail price ?", - "Output Program": [ - "n0 = 50.0\nn1 = 40.0\nt0 = n1 / 100.0\nt1 = 100.0 - n0\nt2 = t0 + 1.0\nt3 = t1 / t2\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "64.28571428571428" - ], - "split": "train" - }, - { - "Input": "one fourth of a solution that was 12 % sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight . the second solution was what percent sugar by weight ?", - "Output Program": [ - "n0 = 12.0\nn1 = 16.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 / 4.0\nt3 = t0 * 100.0\nt4 = t2 * 100.0\nt5 = 100.0 - t4\nt6 = t1 * t5\nt7 = t3 - t6\nt8 = t7 / t4\nanswer = t8 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "28.000000000000004" - ], - "split": "train" - }, - { - "Input": "a company has two models of computers , model x and model y . operating at a constant rate , a model x computer can complete a certain task in 60 minutes and a model y computer can complete the same task in 30 minutes . if the company used the same number of each model of computer to complete the task in 1 minute , how many model x computers were used ?", - "Output Program": [ - "n0 = 60.0\nn1 = 30.0\nn2 = 1.0\nt0 = n0 + n1\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "a , b and c started a partnership business by investing rs . 5000 , rs . 8000 , rs . 9000 respectively . at the end of the year , the profit were distributed among them . if c ' s share of profit is 36000 , what is the total profit ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 8000.0\nn2 = 9000.0\nn3 = 36000.0\nt0 = n0 / n2\nt1 = n1 / n2\nt2 = n3 * t0\nt3 = n3 * t1\nt4 = t2 + t3\nanswer = n3 + t4\nprint(answer)" - ], - "Output Answer": [ - "88000" - ], - "split": "train" - }, - { - "Input": "a man invested rs . 14,400 in rs . 100 shares of a company at 20 % premium . if the company declares 5 % dividend at the end of the year , then how much does he get ?", - "Output Program": [ - "n0 = 14400.0\nn1 = 100.0\nn2 = 20.0\nn3 = 5.0\nt0 = n3 / n1\nt1 = n2 / n1\nt2 = 10.0 * 1000.0\nt3 = 1000.0 * 4.0\nt4 = n1 * 4.0\nt5 = t2 + t3\nt6 = n1 * t1\nt7 = t5 + t4\nt8 = n1 + t6\nt9 = t7 / t8\nt10 = n1 * t9\nanswer = t0 * t10\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "rs . 875 becomes rs . 956 in 3 years at a certain rate of simple interest . if the rate of interest is increased by 4 % , what amount will rs . 875 become in 3 years ?", - "Output Program": [ - "n0 = 875.0\nn1 = 956.0\nn2 = 3.0\nn3 = 4.0\nn4 = 875.0\nn5 = 3.0\nt0 = n0 * n2\nt1 = n1 - n0\nt2 = t1 * 100.0\nt3 = t2 / t0\nt4 = n3 + t3\nt5 = n0 * t4\nt6 = n2 * t5\nt7 = t6 / 100.0\nanswer = n0 + t7\nprint(answer)" - ], - "Output Answer": [ - "1061" - ], - "split": "train" - }, - { - "Input": "a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store , at the end of one month the number of total items sold increases 12 % . their gross income from sales for one month increases by what percent ?", - "Output Program": [ - "n0 = 10.0\nn1 = 12.0\nt0 = n1 / n0\nt1 = n1 - n0\nanswer = t1 - t0\nprint(answer)" - ], - "Output Answer": [ - "0.8" - ], - "split": "train" - }, - { - "Input": "one fourth of one third of two fifth of a number is 10 . what will be 40 % of that number", - "Output Program": [ - "n0 = 10.0\nn1 = 40.0\nt0 = 2.0 + 3.0\nt1 = 1.0 / 4.0\nt2 = 1.0 / 3.0\nt3 = 2.0 / t0\nt4 = t1 * t2\nt5 = t3 * t4\nt6 = n0 / t5\nt7 = n1 * t6\nanswer = t7 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "70 is subtracted from 30 % of a number , the result is 20 . find the number ?", - "Output Program": [ - "n0 = 70.0\nn1 = 30.0\nn2 = 20.0\nt0 = n0 + n2\nt1 = n1 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "300" - ], - "split": "train" - }, - { - "Input": "sonika deposited rs . 8000 which amounted to rs . 9200 after 3 years at simple interest . had the interest been 0.5 % more . she would get how much ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 9200.0\nn2 = 3.0\nn3 = 0.5\nt0 = n3 / 100.0\nt1 = n1 - n0\nt2 = t1 / n2\nt3 = t2 / n0\nt4 = t0 + t3\nt5 = n0 * t4\nt6 = n2 * t5\nanswer = n0 + t6\nprint(answer)" - ], - "Output Answer": [ - "9320" - ], - "split": "train" - }, - { - "Input": "what is the cp of rs 100 stock at 6 discount , with 1 / 5 % brokerage ?", - "Output Program": [ - "n0 = 100.0\nn1 = 6.0\nn2 = 1.0\nn3 = 5.0\nt0 = n2 / n3\nt1 = n0 - n1\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "94.2" - ], - "split": "train" - }, - { - "Input": "a man invests rs . 8,000 at the rate of 5 % per annum . how much more should he invest at the rate of 8 % , so that he can earn a total of 6 % per annum ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 5.0\nn2 = 8.0\nn3 = 6.0\nt0 = n0 * n3\nt1 = n0 * n1\nt2 = n2 - n3\nt3 = t0 - t1\nanswer = t3 / t2\nprint(answer)" - ], - "Output Answer": [ - "4000" - ], - "split": "train" - }, - { - "Input": "the workforce of company x is 60 % female . the company hired 20 additional male workers , and as a result , the percent of female workers dropped to 55 % . how many employees did the company have after hiring the additional male workers ?", - "Output Program": [ - "n0 = 60.0\nn1 = 20.0\nn2 = 55.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 * t0\nt3 = t1 - t0\nt4 = t2 / t3\nanswer = n1 + t4\nprint(answer)" - ], - "Output Answer": [ - "240.00000000000028" - ], - "split": "train" - }, - { - "Input": "4 mat - weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 14 mat - weavers in 14 days ?", - "Output Program": [ - "n0 = 4.0\nn1 = 4.0\nn2 = 4.0\nn3 = 14.0\nn4 = 14.0\nt0 = n3 / n0\nt1 = n0 * t0\nanswer = t0 * t1\nprint(answer)" - ], - "Output Answer": [ - "49" - ], - "split": "train" - }, - { - "Input": "a sum of rs . 2743 is lent into two parts so that the interest on the first part for 8 years at 3 % per annum may be equal to the interest on the second part for 3 years at 5 % per annum . find the second sum ?", - "Output Program": [ - "n0 = 2743.0\nn1 = 8.0\nn2 = 3.0\nn3 = 3.0\nn4 = 5.0\nt0 = n2 * n4\nt1 = n1 * n2\nt2 = t0 + t1\nt3 = n0 * t0\nt4 = t3 / t2\nanswer = n0 - t4\nprint(answer)" - ], - "Output Answer": [ - "1688" - ], - "split": "train" - }, - { - "Input": "on increasing the price of t . v . sets by 60 % , their sale decreases by 20 % . what is the effect on the revenue receipts of the shop ?", - "Output Program": [ - "n0 = 60.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t2 + 100.0\nanswer = t0 - t3\nprint(answer)" - ], - "Output Answer": [ - "28" - ], - "split": "train" - }, - { - "Input": "in an office in singapore there are 60 % female employees . 50 % of all the male employees are computer literate . if there are total 62 % employees computer literate out of total 1200 employees , then the no . of female employees who are computer literate ?", - "Output Program": [ - "n0 = 60.0\nn1 = 50.0\nn2 = 62.0\nn3 = 1200.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 / 100.0\nt3 = 1.0 - t2\nt4 = t1 * t3\nt5 = t0 - t4\nanswer = n3 * t5\nprint(answer)" - ], - "Output Answer": [ - "504" - ], - "split": "train" - }, - { - "Input": "a fruit seller sells mangoes at the rate of rs . 13 per kg and thereby loses 25 % . at what price per kg , he should have sold them to make a profit of 15 % ?", - "Output Program": [ - "n0 = 13.0\nn1 = 25.0\nn2 = 15.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = n0 * t0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "19.933333333333334" - ], - "split": "train" - }, - { - "Input": "a , b and c enter into a partnership . a invests 3 times as much as b invests and 2 / 3 of what c invests . at the end of the year , the profit earned is rs . 22000 . what is the share of c ?", - "Output Program": [ - "n0 = 3.0\nn1 = 2.0\nn2 = 3.0\nn3 = 22000.0\nt0 = n1 / n0\nt1 = n0 * t0\nt2 = t0 + t1\nt3 = t2 + 1.0\nt4 = 1 / t3\nanswer = n3 * t4\nprint(answer)" - ], - "Output Answer": [ - "6000.000000000001" - ], - "split": "train" - }, - { - "Input": "daniel went to a shop and bought things worth rs . 40 , out of which 30 paise went on sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ?", - "Output Program": [ - "n0 = 40.0\nn1 = 30.0\nn2 = 6.0\nt0 = n1 / 100.0\nt1 = n1 / n2\nt2 = n0 - t0\nanswer = t2 - t1\nprint(answer)" - ], - "Output Answer": [ - "34.7" - ], - "split": "train" - }, - { - "Input": "mary works in a restaurant a maximum of 60 hours . for the first 20 hours , she is paid $ 8 per hour . for each overtime hour , she is paid at a rate which is 25 % higher than her regular rate . how much mary can earn in a week ?", - "Output Program": [ - "n0 = 60.0\nn1 = 20.0\nn2 = 8.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n2\nt2 = n0 - n1\nt3 = n2 * t0\nt4 = t3 * t2\nanswer = t1 + t4\nprint(answer)" - ], - "Output Answer": [ - "560" - ], - "split": "train" - }, - { - "Input": "the market value of a 10.5 % stock , in which an income of rs . 756 is derived by investing rs . 6000 , brokerage being 1 / 4 % , is :", - "Output Program": [ - "n0 = 10.5\nn1 = 756.0\nn2 = 6000.0\nn3 = 1.0\nn4 = 4.0\nt0 = n2 / n1\nt1 = n3 / n4\nt2 = n0 * t0\nanswer = t2 - t1\nprint(answer)" - ], - "Output Answer": [ - "83.08333333333334" - ], - "split": "train" - }, - { - "Input": "the compound interest earned by sunil on a certain amount at the end of two years at the rate of 6 % p . a . was rs . 370.80 . find the total amount that sunil got back at the end of two years in the form of principal plus interest earned .", - "Output Program": [ - "n0 = 6.0\nn1 = 370.8\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nt3 = t2 - 1.0\nt4 = n1 / t3\nanswer = n1 + t4\nprint(answer)" - ], - "Output Answer": [ - "3370.7999999999965" - ], - "split": "train" - }, - { - "Input": "a watch was sold at a loss of 10 % . if it was sold for rs . 180 more , there would have been a gain of 5 % . what is the cost price ?", - "Output Program": [ - "n0 = 10.0\nn1 = 180.0\nn2 = 5.0\nt0 = 100.0 + n2\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t0 - t2\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "1200" - ], - "split": "train" - }, - { - "Input": "the price of a t . v . set worth rs . 15000 is to be paid in 20 installments of rs . 1500 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ?", - "Output Program": [ - "n0 = 15000.0\nn1 = 20.0\nn2 = 1500.0\nn3 = 6.0\n\nanswer = n0 - n2\nprint(answer)" - ], - "Output Answer": [ - "13500" - ], - "split": "train" - }, - { - "Input": "harkamal purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 65 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 8.0\nn1 = 70.0\nn2 = 9.0\nn3 = 65.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1145" - ], - "split": "train" - }, - { - "Input": "in the first 8 overs of a cricket game , the run rate was only 2.3 what should be the rate in the remaining 20 overs to reach the target of 260 runs ?", - "Output Program": [ - "n0 = 8.0\nn1 = 2.3\nn2 = 20.0\nn3 = 260.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "12.08" - ], - "split": "train" - }, - { - "Input": "in the first 20 overs of a cricket game , the run rate was only 4.3 . what should be the run rate in the remaining 30 overs to reach the target of 264 runs ?", - "Output Program": [ - "n0 = 20.0\nn1 = 4.3\nn2 = 30.0\nn3 = 264.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "5.933333333333334" - ], - "split": "train" - }, - { - "Input": "at what price must an article costing rs . 150 be marked in order that after deducting 10 % from the list price . it may be sold at a profit of 30 % on the cost price ?", - "Output Program": [ - "n0 = 150.0\nn1 = 10.0\nn2 = 30.0\nt0 = n0 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 + t2\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "216.66666666666666" - ], - "split": "train" - }, - { - "Input": "the banker ' s gain on a sum due 6 years hence at 12 % per annum is rs . 612 . what is the banker ' s discount ?", - "Output Program": [ - "n0 = 6.0\nn1 = 12.0\nn2 = 612.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nt2 = t0 / t1\nanswer = n2 + t2\nprint(answer)" - ], - "Output Answer": [ - "1462" - ], - "split": "train" - }, - { - "Input": "an inspector rejects 0.06 % of the meters as defective . how many will he examine to reject 2 ?", - "Output Program": [ - "n0 = 0.06\nn1 = 2.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "3333.3333333333335" - ], - "split": "train" - }, - { - "Input": "40 % of 2 is equal to", - "Output Program": [ - "n0 = 40.0\nn1 = 2.0\nt0 = n0 * n1\nanswer = t0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "0.8" - ], - "split": "train" - }, - { - "Input": "if 40 % of a number is greater than 80 % of 5 by 2 , what is the number ?", - "Output Program": [ - "n0 = 40.0\nn1 = 80.0\nn2 = 5.0\nn3 = 2.0\nt0 = n2 / 100.0\nt1 = n1 * t0\nt2 = n3 + t1\nt3 = t2 / n0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "the market value of a 10.5 % stock , in which an income of rs . 756 is derived by investing rs . 8000 , brokerage being 1 / 4 % , is :", - "Output Program": [ - "n0 = 10.5\nn1 = 756.0\nn2 = 8000.0\nn3 = 1.0\nn4 = 4.0\nt0 = n2 / n1\nt1 = n3 / n4\nt2 = n0 * t0\nanswer = t2 - t1\nprint(answer)" - ], - "Output Answer": [ - "110.86111111111111" - ], - "split": "train" - }, - { - "Input": "45 % of the employees of a company are men . 60 % of the men in the company speak french and 40 % of the employees of the company speak french . what is % of the women in the company who do not speak french ?", - "Output Program": [ - "n0 = 45.0\nn1 = 60.0\nn2 = 40.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = 100.0 - n0\nt4 = t3 / 100.0\nt5 = t1 * t2\nt6 = t0 - t5\nt7 = t4 - t6\nt8 = t7 / t4\nanswer = t8 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "76.36363636363637" - ], - "split": "train" - }, - { - "Input": "in the recent , climate conference in new york , out of 700 men , 500 women , 800 children present inside the building premises , 20 % of the men , 40 % of the women and 10 % of the children were indians . find the percentage of people who were not indian ?", - "Output Program": [ - "n0 = 700.0\nn1 = 500.0\nn2 = 800.0\nn3 = 20.0\nn4 = 40.0\nn5 = 10.0\nt0 = n0 + n1\nt1 = n3 / 100.0\nt2 = n4 / 100.0\nt3 = n5 / 100.0\nt4 = n2 + t0\nt5 = 1.0 - t1\nt6 = 1.0 - t2\nt7 = 1.0 - t3\nt8 = n0 * t5\nt9 = n1 * t6\nt10 = n2 * t7\nt11 = t8 + t9\nt12 = t11 + t10\nt13 = t12 / t4\nanswer = t13 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "79" - ], - "split": "train" - }, - { - "Input": "a sum fetched total simple interest of 4016.25 at the rate of 14 p . c . p . a . in 5 years . what is the sum ?", - "Output Program": [ - "n0 = 4016.25\nn1 = 14.0\nn2 = 5.0\nt0 = n0 * 100.0\nt1 = n1 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "5737.5" - ], - "split": "train" - }, - { - "Input": "tom opened a shop investing rs . 30000 . jose joined him 2 months later , investing rs . 45000 . they earned a profit of rs . 63000 after completion of one year . what will be jose ' s share of profit ?", - "Output Program": [ - "n0 = 30000.0\nn1 = 2.0\nn2 = 45000.0\nn3 = 63000.0\nt0 = n1 * 3.0\nt1 = t0 * n1\nt2 = n0 * t1\nt3 = t1 - n1\nt4 = n2 * t3\nt5 = t4 + t2\nt6 = t2 / t5\nt7 = 1.0 - t6\nanswer = n3 * t7\nprint(answer)" - ], - "Output Answer": [ - "35000" - ], - "split": "train" - }, - { - "Input": "one fourth of a solution that was 15 % salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight . the second solution was what percent salt by weight ?", - "Output Program": [ - "n0 = 15.0\nn1 = 16.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 * 4.0\nt3 = t1 * 4.0\nt4 = t3 - t1\nt5 = t2 - t4\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "19.000000000000007" - ], - "split": "train" - }, - { - "Input": "the price of a jacket is reduced by 15 % . during a special sale the price of the jacket is reduced another 30 % . by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount ?", - "Output Program": [ - "n0 = 15.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t1 - t2\nt4 = 100.0 - t3\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "68.0672268907563" - ], - "split": "train" - }, - { - "Input": "a cylinder of height h is 6 / 7 of water . when all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder , the new cylinder is 3 / 5 full . the height of the new cylinder is what percent of h ?", - "Output Program": [ - "n0 = 6.0\nn1 = 7.0\nn2 = 25.0\nn3 = 3.0\nn4 = 5.0\nt0 = n3 / n4\nt1 = n0 / n1\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "70" - ], - "split": "train" - }, - { - "Input": "a sum was put a simple interest at a certain rate for 1 years . had it been put at 6 % higher rate , it would have fetched rs . 30 more . the sum is :", - "Output Program": [ - "n0 = 1.0\nn1 = 6.0\nn2 = 30.0\nt0 = n2 / n0\nt1 = t0 / n1\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "train" - }, - { - "Input": "the charge for a single room at hotel p is 50 percent less than the charge for a single room at hotel r and 10 percent less than the charge for a single room at hotel g . the charge for a single room at hotel r is what percent greater than the charge for a single room at hotel g ?", - "Output Program": [ - "n0 = 50.0\nn1 = 10.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = t0 / t1\nt3 = t2 * 100.0\nt4 = 100.0 - t3\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "one night 18 percent of the female officers on a police force were on duty . if 180 officers were on duty that night and half of these were female officers , how many female officers were on the police force ?", - "Output Program": [ - "n0 = 18.0\nn1 = 180.0\nt0 = n1 / 2.0\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "train" - }, - { - "Input": "a man gains 60 % by selling an article for a certain price . if he sells it at double the price , the percentage of profit will be .", - "Output Program": [ - "n0 = 60.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1 * 2.0\nt3 = t2 - 1.0\nt4 = t3 * 100.0\nanswer = t4 + 100.0\nprint(answer)" - ], - "Output Answer": [ - "320" - ], - "split": "train" - }, - { - "Input": "if rs . 420 amount to rs . 540 in 4 years , what will it amount to in 6 years at the same rate % per annum ?", - "Output Program": [ - "n0 = 420.0\nn1 = 540.0\nn2 = 4.0\nn3 = 6.0\nt0 = n1 - n0\nt1 = n3 * t0\nanswer = t1 - t0\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $ 200 . if a store employee applied the 20 percent employee discount to the retail price to buy the recorder , how much did the employee pay for the recorder ?", - "Output Program": [ - "n0 = 20.0\nn1 = 200.0\nn2 = 20.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n1 + t1\nt3 = t2 / 100.0\nt4 = n2 * t3\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "192" - ], - "split": "train" - }, - { - "Input": "mike needs 30 % to pass . if he scored 212 marks and falls short by 16 marks , what was the maximum marks he could have got ?", - "Output Program": [ - "n0 = 30.0\nn1 = 212.0\nn2 = 16.0\nt0 = n1 + n2\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "760" - ], - "split": "train" - }, - { - "Input": "if 45 % of z is 120 % of y and y is 75 % of x , what percent of x is z ?", - "Output Program": [ - "n0 = 45.0\nn1 = 120.0\nn2 = 75.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t1 / t2\nt4 = t0 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "how is 4 % expressed as a decimal fraction ?", - "Output Program": [ - "n0 = 4.0\n\nanswer = n0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "0.04" - ], - "split": "train" - }, - { - "Input": "in one hour , a boat goes 11 km along the stream and 7 km against the stream . the sped of the boat in still water ( in km / hr ) is :", - "Output Program": [ - "n0 = 11.0\nn1 = 7.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "9" - ], - "split": "train" - }, - { - "Input": "last year a certain bond price with a face value of 5000 yielded 7 % of its face value in interest . if that interest was approx 6.5 of the bond ' s selling price approx what was the bond ' s selling price ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 7.0\nn2 = 6.5\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n0 * t0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "5384.615384615386" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 600 after successive discount is 10 % and 5 % is ?", - "Output Program": [ - "n0 = 600.0\nn1 = 10.0\nn2 = 5.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "513" - ], - "split": "train" - }, - { - "Input": "a man can row his boat with the stream at 26 km / h and against the stream in 4 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 26.0\nn1 = 4.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "11" - ], - "split": "train" - }, - { - "Input": "some of 10 % - intensity red paint is replaced with 20 % solution of red paint such that the new paint intensity is 15 % . what fraction of the original paint was replaced ?", - "Output Program": [ - "n0 = 10.0\nn1 = 20.0\nn2 = 15.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 - t1\nt4 = t2 - t1\nanswer = t3 / t4\nprint(answer)" - ], - "Output Answer": [ - "0.4999999999999999" - ], - "split": "train" - }, - { - "Input": "from the sale of sleeping bags , a retailer made a gross profit of 14 % of the wholesale cost . if each sleeping bag was sold for $ 28 , what was the wholesale cost per bag ?", - "Output Program": [ - "n0 = 14.0\nn1 = 28.0\nt0 = n0 + 100.0\nt1 = n1 * 100.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "24.56140350877193" - ], - "split": "train" - }, - { - "Input": "the mean daily profit made by a shopkeeper in a month of 30 days was rs . 350 . if the mean profit for the first fifteen days was rs . 245 , then the mean profit for the last 15 days would be", - "Output Program": [ - "n0 = 30.0\nn1 = 350.0\nn2 = 245.0\nn3 = 15.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 - t1\nanswer = t2 / n3\nprint(answer)" - ], - "Output Answer": [ - "455" - ], - "split": "train" - }, - { - "Input": "if the true discount on a sum due 3 years hence at 14 % per annum be rs . 168 , the sum due is :", - "Output Program": [ - "n0 = 3.0\nn1 = 14.0\nn2 = 168.0\nt0 = n2 * 100.0\nt1 = 2.0 * n1\nt2 = t0 / t1\nanswer = n2 + t2\nprint(answer)" - ], - "Output Answer": [ - "768" - ], - "split": "train" - }, - { - "Input": "sales price is $ 54 , gross profit is 125 % of cost , what is the value of gross profit ?", - "Output Program": [ - "n0 = 54.0\nn1 = 125.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n0 / t1\nanswer = n0 - t2\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "30 percent of andrea ' s living room floor is covered by a carpet that is 4 feet by 9 feet . what is the area of her living room floor ?", - "Output Program": [ - "n0 = 30.0\nn1 = 4.0\nn2 = 9.0\nt0 = n0 / 100.0\nt1 = n1 * n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "a shopkeeper fixes the marked price of an item 35 % above its cost price . the percentage of discount allowed to gain 8 % is", - "Output Program": [ - "n0 = 35.0\nn1 = 8.0\nt0 = n1 + 100.0\nt1 = n0 + 100.0\nt2 = t0 / t1\nt3 = t2 * 100.0\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "if the cost price of 22 articles is equal to the selling price of 16 articles , what is the percentage of profit or loss that the merchant makes ?", - "Output Program": [ - "n0 = 22.0\nn1 = 16.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = 100.0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "37.499999999999986" - ], - "split": "train" - }, - { - "Input": "at what rate percent per annum will the simple interest on a sum of money be 4 / 5 of the amount in 10 years ?", - "Output Program": [ - "n0 = 4.0\nn1 = 5.0\nn2 = 10.0\nt0 = n0 / n1\nt1 = t0 * 100.0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "the profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448 . what should be the sale price for making 45 % profit ?", - "Output Program": [ - "n0 = 832.0\nn1 = 448.0\nn2 = 45.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nt2 = n2 * t1\nt3 = t2 / 100.0\nanswer = t3 + t1\nprint(answer)" - ], - "Output Answer": [ - "928" - ], - "split": "train" - }, - { - "Input": "sandy buys an old scooter for $ 900 and spends $ 300 on its repairs . if sandy sells the scooter for $ 1260 , what is the gain percent ?", - "Output Program": [ - "n0 = 900.0\nn1 = 300.0\nn2 = 1260.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "find the amount on rs . 8000 in 2 years , the rate of interest being 4 % per first year and 5 % for the second year ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 2.0\nn2 = 4.0\nn3 = 5.0\nt0 = n3 + 100.0\nt1 = n2 + 100.0\nt2 = n0 * t1\nt3 = t2 / 100.0\nt4 = t0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "8736" - ], - "split": "train" - }, - { - "Input": "of the 1000 inhabitants of a town , 60 % are males of whom 20 % are literate . if , of all the inhabitants , 25 % are literate , then what percent of the females of the town are literate ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 60.0\nn2 = 20.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n2 / 100.0\nt2 = n1 / 100.0\nt3 = n0 * t0\nt4 = n0 * t2\nt5 = t1 * t4\nt6 = n0 - t4\nt7 = t3 - t5\nt8 = t7 / t6\nanswer = t8 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "32.5" - ], - "split": "train" - }, - { - "Input": "i bought two books ; for rs . 600 . i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price . find the cost of the book sold at a loss ?", - "Output Program": [ - "n0 = 600.0\nn1 = 15.0\nn2 = 19.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = t0 + t1\nt3 = n0 * t0\nanswer = t3 / t2\nprint(answer)" - ], - "Output Answer": [ - "350" - ], - "split": "train" - }, - { - "Input": "a man buys an article for $ 20 . and sells it for $ 35 . find the gain percent ?", - "Output Program": [ - "n0 = 20.0\nn1 = 35.0\nt0 = n0 / 100.0\nt1 = n1 / t0\nanswer = t1 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "train" - }, - { - "Input": "a ball dropped from h height and moves 80 % of height each time . total distance covered is", - "Output Program": [ - "n0 = 80.0\nt0 = n0 / 10.0\nanswer = t0 + 1.0\nprint(answer)" - ], - "Output Answer": [ - "9" - ], - "split": "train" - }, - { - "Input": "a certain article of clothing was discounted during a special sale to 4 / 5 of its original retail price . when the clothing did n ' t sell , it was discounted even further to 1 / 2 of its original retail price during a second sale . by what percent did the price of this article of clothing decrease from the first sale to the second sale ?", - "Output Program": [ - "n0 = 4.0\nn1 = 5.0\nn2 = 1.0\nn3 = 2.0\nt0 = n0 / n1\nt1 = n2 / n3\nt2 = t0 * t1\nt3 = t0 - t2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "the present population of a town is 60000 . the population increases annually at 10 % . find the population after 3 years .", - "Output Program": [ - "n0 = 60000.0\nn1 = 10.0\nn2 = 3.0\nt0 = n1 + 100.0\nt1 = n0 * t0\nt2 = t1 / 100.0\nt3 = t0 * t2\nt4 = t3 / 100.0\nt5 = t0 * t4\nanswer = t5 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "79860" - ], - "split": "train" - }, - { - "Input": "a certain sum amount to $ 1400 in 2 yrs and $ 2000 in 5 years on certain fixed simple interest . in how many yrs would the amount be $ 1640 had it been put at the rate of interest compounded annually ?", - "Output Program": [ - "n0 = 1400.0\nn1 = 2.0\nn2 = 2000.0\nn3 = 5.0\nn4 = 1640.0\nt0 = n1 / n3\nt1 = 1.0 / 10.0\nt2 = n4 - n0\nt3 = n2 - n0\nt4 = n3 - n1\nt5 = t3 / t4\nt6 = t0 - t1\nt7 = t2 / t5\nanswer = t7 + t6\nprint(answer)" - ], - "Output Answer": [ - "1.5" - ], - "split": "train" - }, - { - "Input": "a person distributed 20 % of his income to his 3 children each . he deposited 25 % of his income to his wife ' s account . he donated 5 % of remaining amount to an orphan house . finally he has $ 40000 . find his total income ?", - "Output Program": [ - "n0 = 20.0\nn1 = 3.0\nn2 = 25.0\nn3 = 5.0\nn4 = 40000.0\nt0 = n0 * n1\nt1 = n2 + t0\nt2 = n3 + t1\nt3 = 100.0 - t2\nt4 = n4 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "400000" - ], - "split": "train" - }, - { - "Input": "on selling 17 balls at rs . 720 , there is a loss equal to the cost price of 5 balls . the cost price of a ball is :", - "Output Program": [ - "n0 = 17.0\nn1 = 720.0\nn2 = 5.0\nt0 = n0 - n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "mr . john used to purchase certain number of mangoes for $ 360 since the price of mangoes is reduced by 10 % he got 12 more mangoes today . find the original price of 130 mangoes .", - "Output Program": [ - "n0 = 360.0\nn1 = 10.0\nn2 = 12.0\nn3 = 130.0\nt0 = 1.0 / n1\nt1 = 1.0 - t0\nt2 = n0 / t1\nt3 = t2 - n0\nt4 = t3 / n2\nanswer = n3 * t4\nprint(answer)" - ], - "Output Answer": [ - "433.33333333333337" - ], - "split": "train" - }, - { - "Input": "in town x , 72 percent of the population are employed , and 36 percent of the population are employed males . what percent of the employed people in town x are females ?", - "Output Program": [ - "n0 = 72.0\nn1 = 36.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "rs 3400 is divided into two parts such that one part is put out at 3 % and the other at 5 % . if the annual interest earned from both the investments be rs 144 , find the first part .", - "Output Program": [ - "n0 = 3400.0\nn1 = 3.0\nn2 = 5.0\nn3 = 144.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 * t0\nt3 = t0 - t1\nt4 = t2 - n3\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "1299.9999999999998" - ], - "split": "train" - }, - { - "Input": "90 students represent x percent of the boys at jones elementary school . if the boys at jones elementary make up 40 % of the total school population of x students , what is x ?", - "Output Program": [ - "import math\nn0 = 90.0\nn1 = 40.0\nt0 = n1 / 100.0\nt1 = n0 * 100.0\nt2 = t1 / t0\nanswer = math.sqrt(max(0, t2))\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "bhanu spends 30 % of his income on petrol on scooter 30 % of the remaining on house rent and the balance on food . if he spends rs . 300 on petrol then what is the expenditure on house rent ?", - "Output Program": [ - "n0 = 30.0\nn1 = 30.0\nn2 = 300.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = n2 / t1\nt3 = t2 - n2\nanswer = t0 * t3\nprint(answer)" - ], - "Output Answer": [ - "210" - ], - "split": "train" - }, - { - "Input": "sandy buys an old scooter for $ 900 and spends $ 300 on its repairs . if sandy sells the scooter for $ 1320 , what is the gain percent ?", - "Output Program": [ - "n0 = 900.0\nn1 = 300.0\nn2 = 1320.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "a man can row downstream at the rate of 26 kmph and upstream at 12 kmph . find the man \u2019 s rate in still water and rate of current ?", - "Output Program": [ - "n0 = 26.0\nn1 = 12.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "7" - ], - "split": "train" - }, - { - "Input": "the list price of an article is rs . 70 . a customer pays rs . 61.11 for it . he was given two successive discounts , one of them being 10 % . the other discount is ?", - "Output Program": [ - "n0 = 70.0\nn1 = 61.11\nn2 = 10.0\nt0 = n2 / 100.0\nt1 = n0 * t0\nt2 = n0 - t1\nt3 = t2 - n1\nt4 = t3 / t2\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "3.000000000000001" - ], - "split": "train" - }, - { - "Input": "from the beginning to the end of 2007 , the price of a stock rose 20 percent . in 2008 , it dropped 25 percent . in 2009 , it rose 15 percent . what percent of the stock \u00e2 \u20ac \u2122 s 2007 starting price was the price of the stock at the end of 2009 ?", - "Output Program": [ - "n0 = 2007.0\nn1 = 20.0\nn2 = 2008.0\nn3 = 25.0\nn4 = 2009.0\nn5 = 15.0\nn6 = 2007.0\nn7 = 2009.0\nt0 = n5 + 100.0\nt1 = n1 + 100.0\nt2 = 100.0 - n3\nt3 = t0 / 100.0\nt4 = t2 / 100.0\nt5 = t1 / 100.0\nt6 = t5 * 100.0\nt7 = t4 * t6\nanswer = t3 * t7\nprint(answer)" - ], - "Output Answer": [ - "103.49999999999999" - ], - "split": "train" - }, - { - "Input": "at a particular graduation party with 300 guests , 70 % of the guests brought gifts , and 40 % of the female guests brought gifts . if 15 males did not bring gifts to the party , how many females did bring gifts ?", - "Output Program": [ - "n0 = 300.0\nn1 = 70.0\nn2 = 40.0\nn3 = 15.0\nt0 = n0 * n1\nt1 = 100.0 - n2\nt2 = t0 / 100.0\nt3 = n0 - t2\nt4 = t3 - n3\nt5 = t4 * 100.0\nt6 = t5 / t1\nt7 = n2 * t6\nanswer = t7 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "last year elaine spent 20 % of her annual earnings on rent . this year she earned 25 % more than last year and she spent 30 % of her annual earnings on rent . the amount she spent on rent this year is what percent of the amount spent on rent last year ?", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nn2 = 30.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n2 * t1\nt3 = t2 / n0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "187.5" - ], - "split": "train" - }, - { - "Input": "each month a retailer sells 100 identical items . on each item he makes a profit of $ 50 that constitutes 10 % of the item ' s price to the retailer . if the retailer contemplates giving a 5 % discount on the items he sells , what is the least number of items he will have to sell each month to justify the policy of the discount ?", - "Output Program": [ - "n0 = 100.0\nn1 = 50.0\nn2 = 10.0\nn3 = 5.0\nt0 = n0 * n1\nt1 = t0 / n2\nt2 = n1 + t1\nt3 = n3 * t2\nt4 = t3 / n0\nt5 = n1 - t4\nanswer = t0 / t5\nprint(answer)" - ], - "Output Answer": [ - "222.22222222222223" - ], - "split": "train" - }, - { - "Input": "j is 25 % less than p and 20 % less than t . t is r % less than p . what is the value of r ?", - "Output Program": [ - "n0 = 25.0\nn1 = 20.0\nt0 = n0 * n0\nanswer = t0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "6.25" - ], - "split": "train" - }, - { - "Input": "a chemist mixes one liter of pure water with x liters of a 30 % salt solution , and the resulting mixture is a 20 % salt solution . what is the value of x ?", - "Output Program": [ - "n0 = 30.0\nn1 = 20.0\nt0 = n0 - n1\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "2" - ], - "split": "train" - }, - { - "Input": "in an examination 35 % of the students passed and 546 failed . how many students appeared for the examination ?", - "Output Program": [ - "n0 = 35.0\nn1 = 546.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "840" - ], - "split": "train" - }, - { - "Input": "a , b and c enter into partnership . a invests some money at the beginning , b invests double the amount after 6 months , and c invests thrice the amount after 8 months . if the annual gain be rs . 15000 . a ' s share is ?", - "Output Program": [ - "n0 = 6.0\nn1 = 8.0\nn2 = 15000.0\nt0 = 1.0 * 12.0\nt1 = 12.0 - n0\nt2 = 12.0 - n1\nt3 = t1 * 2.0\nt4 = t2 * 3.0\nt5 = t0 + t3\nt6 = t5 + t4\nt7 = n2 / t6\nanswer = t7 * t0\nprint(answer)" - ], - "Output Answer": [ - "5000" - ], - "split": "train" - }, - { - "Input": "a man buy a book in rs 50 & sale it rs 90 . what is the rate of profit ? ? ?", - "Output Program": [ - "n0 = 50.0\nn1 = 90.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "rohan spends 40 % of his salary on food , 20 % on house rent , 10 % on entertainment and 10 % on conveyance . if his savings at the end of a month are rs . 1500 . then his monthly salary is", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nn2 = 10.0\nn3 = 10.0\nn4 = 1500.0\nt0 = 1.0 + 4.0\nanswer = n4 * t0\nprint(answer)" - ], - "Output Answer": [ - "7500" - ], - "split": "train" - }, - { - "Input": "what percentage of numbers from 1 to 95 have squares that end in the digit 0 ?", - "Output Program": [ - "import math\nn0 = 1.0\nn1 = 95.0\nn2 = 0.0\nt0 = n1 / 10.0\nt1 = math.floor(t0)\nt2 = t1 / n1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "9.473684210526317" - ], - "split": "train" - }, - { - "Input": "the number which exceeds 16 % of it by 63 is :", - "Output Program": [ - "n0 = 16.0\nn1 = 63.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "train" - }, - { - "Input": "running at the same constant rate , 6 identical machines can produce a total of 300 bottles per minute . at this rate , how many bottles could 10 such machines produce in 4 minutes ?", - "Output Program": [ - "n0 = 6.0\nn1 = 300.0\nn2 = 10.0\nn3 = 4.0\nt0 = n1 / n0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "2000" - ], - "split": "train" - }, - { - "Input": "reema took a loan of rs 1500 with simple interest for as many years as the rate of interest . if she paid rs . 735 as interest at the end of the loan period , what was the rate of interest .", - "Output Program": [ - "import math\nn0 = 1500.0\nn1 = 735.0\nt0 = n0 / 100.0\nt1 = n1 / t0\nanswer = math.sqrt(max(0, t1))\nprint(answer)" - ], - "Output Answer": [ - "7" - ], - "split": "train" - }, - { - "Input": "sandy buys an old scooter for $ 800 and spends $ 200 on its repairs . if sandy sells the scooter for $ 1200 , what is the gain percent ?", - "Output Program": [ - "n0 = 800.0\nn1 = 200.0\nn2 = 1200.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "ramu bought an old car for rs . 42000 . he spent rs . 10000 on repairs and sold it for rs . 64900 . what is his profit percent ?", - "Output Program": [ - "n0 = 42000.0\nn1 = 10000.0\nn2 = 64900.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "24.807692307692307" - ], - "split": "train" - }, - { - "Input": "a retailer buys 60 pens at the market price of 36 pens from a wholesaler , if he sells these pens giving a discount of 1 % , what is the profit % ?", - "Output Program": [ - "n0 = 60.0\nn1 = 36.0\nn2 = 1.0\nt0 = n2 / 100.0\nt1 = n1 / n0\nt2 = n2 - t0\nt3 = t2 - t1\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "65" - ], - "split": "train" - }, - { - "Input": "the population of a town is 10000 . it increases annually at the rate of 20 % p . a . what will be its population after 1 year ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 20.0\nn2 = 1.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = t1 * n2\nanswer = n0 + t2\nprint(answer)" - ], - "Output Answer": [ - "12000" - ], - "split": "train" - }, - { - "Input": "there are 500 employees in a room . 99 % are managers . how many managers must leave the room to bring down the percentage of managers to 98 % ?", - "Output Program": [ - "n0 = 500.0\nn1 = 99.0\nn2 = 98.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n0 * t0\nt3 = n0 * t1\nt4 = 1.0 - t1\nt5 = t2 - t3\nanswer = t5 / t4\nprint(answer)" - ], - "Output Answer": [ - "249.99999999999977" - ], - "split": "train" - }, - { - "Input": "after 10 % of the inhabitants of a village disappeared , a panic set in during which 25 % of the remaining inhabitants left the village . at that time , the population was reduced to 5265 . what was the number of original inhabitants ?", - "Output Program": [ - "n0 = 10.0\nn1 = 25.0\nn2 = 5265.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = 1.0 - t0\nt3 = t1 * t2\nt4 = t2 - t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "7799.999999999999" - ], - "split": "train" - }, - { - "Input": "a merchant has 1000 kg of sugar part of which he sells at 8 % profit and the rest at 18 % profit . he gains 14 % on the whole . the quantity sold at 18 % profit is ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 8.0\nn2 = 18.0\nn3 = 14.0\nn4 = 18.0\nt0 = 2.0 + 3.0\nt1 = n3 / 100.0\nt2 = n1 / 100.0\nt3 = t1 + 1.0\nt4 = t2 + 1.0\nt5 = t0 * 2.0\nt6 = t3 - t4\nt7 = n0 * t6\nanswer = t5 * t7\nprint(answer)" - ], - "Output Answer": [ - "600.0000000000006" - ], - "split": "train" - }, - { - "Input": "how many pounds of salt at 50 cents / lb must be mixed with 40 lbs of salt that costs 25 cents / lb so that a merchant will get 20 % profit by selling the mixture at 48 cents / lb ?", - "Output Program": [ - "n0 = 50.0\nn1 = 40.0\nn2 = 25.0\nn3 = 20.0\nn4 = 48.0\nt0 = n3 + 100.0\nt1 = n1 * n4\nt2 = n1 * n2\nt3 = t0 / 100.0\nt4 = t3 * t2\nt5 = n0 * t3\nt6 = t1 - t4\nt7 = t5 - n4\nanswer = t6 / t7\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "a number increased by 20 % gives 1080 . the number is ?", - "Output Program": [ - "n0 = 20.0\nn1 = 1080.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "900" - ], - "split": "train" - }, - { - "Input": "a man can row his boat with the stream at 18 km / h and against the stream in 4 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 18.0\nn1 = 4.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "7" - ], - "split": "train" - }, - { - "Input": "how is 2 % expressed as a decimal fraction ?", - "Output Program": [ - "n0 = 2.0\n\nanswer = n0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "0.02" - ], - "split": "train" - }, - { - "Input": "a typist uses a sheet measuring 20 cm by 30 cm lenghtwise . if a margin of 2 cm is left on each side and a 3 cm margin on the top and bottom , then what is the percentage of page used by the typist ?", - "Output Program": [ - "n0 = 20.0\nn1 = 30.0\nn2 = 2.0\nn3 = 3.0\nt0 = n2 * 2.0\nt1 = n3 * 2.0\nt2 = n0 * n1\nt3 = n0 - t0\nt4 = n1 - t1\nt5 = t3 * t4\nt6 = t5 / t2\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "64" - ], - "split": "train" - }, - { - "Input": "a sum of rs . 2678 is lent into two parts so that the interest on the first part for 8 years at 3 % per annum may be equal to the interest on the second part for 3 years at 5 % per annum . find the second sum ?", - "Output Program": [ - "n0 = 2678.0\nn1 = 8.0\nn2 = 3.0\nn3 = 3.0\nn4 = 5.0\nt0 = n2 * n4\nt1 = n1 * n2\nt2 = t0 + t1\nt3 = n0 * t0\nt4 = t3 / t2\nanswer = n0 - t4\nprint(answer)" - ], - "Output Answer": [ - "1648" - ], - "split": "train" - }, - { - "Input": "sandy had $ 217 left after spending 30 % of the money she took for shopping . how much money did sandy take along with her ?", - "Output Program": [ - "n0 = 217.0\nn1 = 30.0\nt0 = 100.0 - n1\nt1 = t0 / 100.0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "310" - ], - "split": "train" - }, - { - "Input": "at a special sale , 12 tickets can be purchased for the price of 4 tickets . if 12 tickets are purchased at the sale , the amount saved will be what percent of the original price of the 12 tickets ?", - "Output Program": [ - "n0 = 12.0\nn1 = 4.0\nn2 = 12.0\nn3 = 12.0\nt0 = n0 * n0\nt1 = n0 * n1\nt2 = t0 - t1\nt3 = t2 * 100.0\nanswer = t3 / t0\nprint(answer)" - ], - "Output Answer": [ - "66.66666666666667" - ], - "split": "train" - }, - { - "Input": "an escalator moves towards the top level at the rate of 11 ft . sec and its length is 126 feet . if a person walks on the moving escalator at the rate of 3 feet per second towards the top level , how much time does he take to cover the entire length .", - "Output Program": [ - "n0 = 11.0\nn1 = 126.0\nn2 = 3.0\nt0 = n0 + n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "9" - ], - "split": "train" - }, - { - "Input": "mr . karan borrowed a certain amount at 6 % per annum simple interest for 9 years . after 9 years , he returned rs . 8210 / - . find out the amount that he borrowed .", - "Output Program": [ - "n0 = 6.0\nn1 = 9.0\nn2 = 9.0\nn3 = 8210.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nanswer = n3 / t2\nprint(answer)" - ], - "Output Answer": [ - "5331.168831168831" - ], - "split": "train" - }, - { - "Input": "98 students represent x percent of the boys at a school . if the boys at the school make up 50 % of the total school population of x students , what is x ?", - "Output Program": [ - "import math\nn0 = 98.0\nn1 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * 100.0\nt2 = t1 / t0\nanswer = math.sqrt(max(0, t2))\nprint(answer)" - ], - "Output Answer": [ - "140" - ], - "split": "train" - }, - { - "Input": "one - third of 1206 is what percent of 400 ?", - "Output Program": [ - "n0 = 1206.0\nn1 = 400.0\nt0 = n0 / 3.0\nt1 = t0 / n1\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "100.49999999999999" - ], - "split": "train" - }, - { - "Input": "a watch was sold at a loss of 20 % . if it was sold for rs . 520 more , there would have been a gain of 6 % . what is the cost price ?", - "Output Program": [ - "n0 = 20.0\nn1 = 520.0\nn2 = 6.0\nt0 = 100.0 + n2\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t0 - t2\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "2000" - ], - "split": "train" - }, - { - "Input": "if the cost price of 20 articles is equal to the selling price of 16 articles , what is the percentage of profit or loss that the merchant makes ?", - "Output Program": [ - "n0 = 20.0\nn1 = 16.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = 100.0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "at the end of the first quarter , the share price of a certain mutual fund was 30 percent higher than it was at the beginning of the year . at the end of the second quarter , the share price was 75 percent higher than it was at the beginning of the year . what was the percent increase in the share price from the end of the first quarter to the end of the second quarter ?", - "Output Program": [ - "n0 = 30.0\nn1 = 75.0\nt0 = n1 + 100.0\nt1 = n0 + 100.0\nt2 = t0 / t1\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "34.61538461538463" - ], - "split": "train" - }, - { - "Input": "a person buys an article at rs . 500 . at what price should he sell the article so as to make a profit of 50 % ?", - "Output Program": [ - "n0 = 500.0\nn1 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "750" - ], - "split": "train" - }, - { - "Input": "in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 7500 , what was the number of valid votes that the other candidate got ?", - "Output Program": [ - "n0 = 55.0\nn1 = 20.0\nn2 = 7500.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t2 * t3\nanswer = n2 * t4\nprint(answer)" - ], - "Output Answer": [ - "2700" - ], - "split": "train" - }, - { - "Input": "the true discount on a bill due 9 months hence at 16 % per annum is rs . 210 . the amount of the bill is", - "Output Program": [ - "n0 = 9.0\nn1 = 16.0\nn2 = 210.0\nt0 = 3.0 * 4.0\nt1 = n0 / t0\nt2 = n1 * t1\nt3 = t2 / 100.0\nt4 = n2 / t3\nanswer = n2 + t4\nprint(answer)" - ], - "Output Answer": [ - "1960" - ], - "split": "train" - }, - { - "Input": "a man is walking at the rate of 6 km / hr crosses a bridge in 15 minutes . the length of the bridge is", - "Output Program": [ - "n0 = 6.0\nn1 = 15.0\nt0 = n1 / 60.0\nt1 = n0 * t0\nanswer = t1 * 1000.0\nprint(answer)" - ], - "Output Answer": [ - "1500" - ], - "split": "train" - }, - { - "Input": "sam invested $ 15000 @ 10 % per annum for one year . if the interest is compounded half yearly , then the amount received by sam at the end of the year will be ?", - "Output Program": [ - "n0 = 15000.0\nn1 = 10.0\nt0 = 1.0 + 4.0\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nt3 = n0 * t2\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "16537.5" - ], - "split": "train" - }, - { - "Input": "in a public show 75 % of the seats were filled . if there were 600 seats in the hall , how many seats were vacant ?", - "Output Program": [ - "n0 = 75.0\nn1 = 600.0\nt0 = 100.0 - n0\nt1 = n1 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "the true discount on a bill due 9 months hence at 16 % per annum is rs . 180 . the amount of the bill is", - "Output Program": [ - "n0 = 9.0\nn1 = 16.0\nn2 = 180.0\nt0 = 3.0 * 4.0\nt1 = n0 / t0\nt2 = n1 * t1\nt3 = t2 / 100.0\nt4 = n2 / t3\nanswer = n2 + t4\nprint(answer)" - ], - "Output Answer": [ - "1680" - ], - "split": "train" - }, - { - "Input": "a man ' s speed with the current is 15 km / hr and the speed of the current is 2.5 km / hr . the man ' s speed against the current is :", - "Output Program": [ - "n0 = 15.0\nn1 = 2.5\nt0 = n0 - n1\nanswer = t0 - n1\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article at $ 1200 and gained a 20 % profit . what was the cost price ?", - "Output Program": [ - "n0 = 1200.0\nn1 = 20.0\nt0 = n1 + 100.0\nt1 = 100.0 / t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "train" - }, - { - "Input": "daniel went to a shop and bought things worth rs . 25 , out of which 30 paise went on sales tax on taxable purchases . if the tax rate was 5 % , then what was the cost of the tax free items ?", - "Output Program": [ - "n0 = 25.0\nn1 = 30.0\nn2 = 5.0\nt0 = n1 / 100.0\nt1 = n1 / n2\nt2 = n0 - t0\nanswer = t2 - t1\nprint(answer)" - ], - "Output Answer": [ - "18.7" - ], - "split": "train" - }, - { - "Input": "4 mat - weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 16 mat - weavers in 16 days ?", - "Output Program": [ - "n0 = 4.0\nn1 = 4.0\nn2 = 4.0\nn3 = 16.0\nn4 = 16.0\nt0 = n3 / n0\nt1 = n0 * t0\nanswer = t0 * t1\nprint(answer)" - ], - "Output Answer": [ - "64" - ], - "split": "train" - }, - { - "Input": "60 % of the employees of a company are men . 60 % of the men in the company speak french and 50 % of the employees of the company speak french . what is % of the women in the company who do not speak french ?", - "Output Program": [ - "n0 = 60.0\nn1 = 60.0\nn2 = 50.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = 100.0 - n0\nt4 = t3 / 100.0\nt5 = t1 * t2\nt6 = t0 - t5\nt7 = t4 - t6\nt8 = t7 / t4\nanswer = t8 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "65" - ], - "split": "train" - }, - { - "Input": "a , b and c enter into a partnership . a invests 3 times as much as b invests and 2 / 3 of what c invests . at the end of the year , the profit earned is rs . 12375 . what is the share of c ?", - "Output Program": [ - "n0 = 3.0\nn1 = 2.0\nn2 = 3.0\nn3 = 12375.0\nt0 = n1 / n0\nt1 = n0 * t0\nt2 = t0 + t1\nt3 = t2 + 1.0\nt4 = 1 / t3\nanswer = n3 * t4\nprint(answer)" - ], - "Output Answer": [ - "3375.0000000000005" - ], - "split": "train" - }, - { - "Input": "a shopkeeper has 280 kg of apples . he sells 40 % of these at 20 % profit and remaining 60 % at 20 % profit . find his % profit on total .", - "Output Program": [ - "n0 = 280.0\nn1 = 40.0\nn2 = 20.0\nn3 = 60.0\nn4 = 20.0\nt0 = n2 + 100.0\nt1 = n4 + 100.0\nt2 = n0 * n1\nt3 = n0 * n3\nt4 = t2 / 100.0\nt5 = t0 / 100.0\nt6 = t3 / 100.0\nt7 = t1 / 100.0\nt8 = t4 * t5\nt9 = t6 * t7\nt10 = t8 + t9\nt11 = t10 - n0\nt12 = t11 * 100.0\nanswer = t12 / n0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "one night 20 percent of the female officers on a police force were on duty . if 100 officers were on duty that night and half of these were female officers , how many female officers were on the police force ?", - "Output Program": [ - "n0 = 20.0\nn1 = 100.0\nt0 = n1 / 2.0\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "250" - ], - "split": "train" - }, - { - "Input": "a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 14 % while buying and by 20 % while selling . what is his percentage profit ?", - "Output Program": [ - "n0 = 14.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = 100.0 - n1\nt2 = t0 - t1\nt3 = t2 * 100.0\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "42.5" - ], - "split": "train" - }, - { - "Input": "john had a stock of 620 books in his bookshop . he sold 50 on monday , 82 on tuesday , 60 on wednesday , 48 on thursday and 40 on friday . what percentage of the books were not sold ?", - "Output Program": [ - "n0 = 620.0\nn1 = 50.0\nn2 = 82.0\nn3 = 60.0\nn4 = 48.0\nn5 = 40.0\nt0 = n1 + n2\nt1 = n3 + n4\nt2 = t0 + t1\nt3 = n5 + t2\nt4 = n0 - t3\nt5 = t4 / n0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "54.83870967741935" - ], - "split": "train" - }, - { - "Input": "a man buys rs . 20 shares paying 9 % dividend . the man wants to have an interest of 12 % on his money . the market value of each share is ?", - "Output Program": [ - "n0 = 20.0\nn1 = 9.0\nn2 = 12.0\nt0 = 100.0 / n2\nt1 = n1 / 100.0\nt2 = n0 * t1\nanswer = t0 * t2\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "a reduction of 20 % in the price of oil enables a house wife to obtain 4 kgs more for rs . 684 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 20.0\nn1 = 4.0\nn2 = 684.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "34.2" - ], - "split": "train" - }, - { - "Input": "because he \u2019 s taxed by his home planet , mork pays a tax rate of 40 % on his income , while mindy pays a rate of only 30 % on hers . if mindy earned 2 times as much as mork did , what was their combined tax rate ?", - "Output Program": [ - "n0 = 40.0\nn1 = 30.0\nn2 = 2.0\nt0 = n2 + 1.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = n2 * t2\nt4 = t1 + t3\nt5 = t4 / t0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "train" - }, - { - "Input": "rohan spends 40 % of his salary on food , 20 % on house rent , 10 % on entertainment and 10 % on conveyance . if his savings at the end of a month are rs . 1000 . then his monthly salary is", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nn2 = 10.0\nn3 = 10.0\nn4 = 1000.0\nt0 = 1.0 + 4.0\nanswer = n4 * t0\nprint(answer)" - ], - "Output Answer": [ - "5000" - ], - "split": "train" - }, - { - "Input": "a company has two models of computers , model x and model y . operating at a constant rate , a model x computer can complete a certain task in 72 minutes and a model y computer can complete the same task in 36 minutes . if the company used the same number of each model of computer to complete the task in 1 minute , how many model x computers were used ?", - "Output Program": [ - "n0 = 72.0\nn1 = 36.0\nn2 = 1.0\nt0 = n0 + n1\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "24" - ], - "split": "train" - }, - { - "Input": "one fourth of a solution that was 10 % sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight . the second solution was what percent sugar by weight ?", - "Output Program": [ - "n0 = 10.0\nn1 = 16.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 / 4.0\nt3 = t0 * 100.0\nt4 = t2 * 100.0\nt5 = 100.0 - t4\nt6 = t1 * t5\nt7 = t3 - t6\nt8 = t7 / t4\nanswer = t8 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "34" - ], - "split": "train" - }, - { - "Input": "a watch was sold at a loss of 10 % . if it was sold for rs . 280 more , there would have been a gain of 4 % . what is the cost price ?", - "Output Program": [ - "n0 = 10.0\nn1 = 280.0\nn2 = 4.0\nt0 = 100.0 + n2\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t0 - t2\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "2000" - ], - "split": "train" - }, - { - "Input": "a man can row his boat with the stream at 18 km / h and against the stream in 8 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 18.0\nn1 = 8.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "1500 is increased by 20 % . find the final number .", - "Output Program": [ - "n0 = 1500.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1800" - ], - "split": "train" - }, - { - "Input": "the salary of a typist was at first raised by 10 % and then the same was reduced by 5 % . if he presently draws rs . 2090 . what was his original salary ?", - "Output Program": [ - "n0 = 10.0\nn1 = 5.0\nn2 = 2090.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "2000.0000000000002" - ], - "split": "train" - }, - { - "Input": "the manager of a produce market purchased a quantity of tomatoes for $ 0.80 per pound . due to improper handling , 10 percent of the tomatoes , by weight , were ruined and discarded . at what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 8 percent of the cost of the tomatoes .", - "Output Program": [ - "n0 = 0.8\nn1 = 10.0\nn2 = 8.0\nt0 = n2 / 100.0\nt1 = 100.0 - n1\nt2 = t0 + 1.0\nt3 = t1 / 100.0\nt4 = n0 / t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "0.9600000000000001" - ], - "split": "train" - }, - { - "Input": "30 % of a number is more than 60 % of 50 by 30 . find the number ?", - "Output Program": [ - "n0 = 30.0\nn1 = 60.0\nn2 = 50.0\nn3 = 30.0\nt0 = n1 * n2\nt1 = t0 / 100.0\nt2 = n3 + t1\nt3 = t2 * 100.0\nanswer = t3 / n0\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "a statue is being carved by a sculptor . the original piece of marble weighed 250 kg . in the first week 30 per cent is cut away . in the second week 20 per cent of the remainder is cut away . in the third week the statue is completed when 25 percent of the remainder is cut away . what is the weight of the final statue ?", - "Output Program": [ - "n0 = 250.0\nn1 = 30.0\nn2 = 20.0\nn3 = 25.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = 1.0 - t0\nt4 = 1.0 - t1\nt5 = 1.0 - t2\nt6 = n0 * t3\nt7 = t6 * t4\nanswer = t7 * t5\nprint(answer)" - ], - "Output Answer": [ - "105" - ], - "split": "train" - }, - { - "Input": "a bowl was filled with 10 ounces of water , and 0.008 ounce of the water evaporated each day during a 50 - day period . what percent of the original amount of water evaporated during this period ?", - "Output Program": [ - "n0 = 10.0\nn1 = 0.008\nn2 = 50.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "mixture a is 20 percent alcohol , and mixture b is 50 percent alcohol . if the two are poured together to create a 15 gallon mixture that contains 30 percent alcohol , approximately how many gallons of mixture a are in the mixture ?", - "Output Program": [ - "n0 = 20.0\nn1 = 50.0\nn2 = 15.0\nn3 = 30.0\nt0 = n0 * n1\nt1 = t0 / n1\nanswer = t1 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "solve the quickfire maths brain teaser \u00e2 \u02c6 \u0161 4 % = ?", - "Output Program": [ - "n0 = 4.0\nt0 = n0 + 1.0\nanswer = 100.0 / t0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "a shirt goes on sale for 80 % of its original price . one week later , the sale price is marked down 10 % . the final price is what percent of the original price ?", - "Output Program": [ - "n0 = 80.0\nn1 = 10.0\nt0 = n0 / 100.0\nt1 = n1 * t0\nanswer = n0 - t1\nprint(answer)" - ], - "Output Answer": [ - "72" - ], - "split": "train" - }, - { - "Input": "at what rate of compound interest per annum will a sum of rs . 1200 become rs . 1348.32 in 2 years", - "Output Program": [ - "import math\nn0 = 1200.0\nn1 = 1348.32\nn2 = 2.0\nt0 = n0 / 100.0\nt1 = n1 * 100.0\nt2 = n0 * 100.0\nt3 = t1 / t0\nt4 = t2 / t0\nt5 = math.sqrt(max(0, t3))\nt6 = math.sqrt(max(0, t4))\nanswer = t5 - t6\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "andrew purchased 7 kg of grapes at the rate of 68 per kg and 9 kg of mangoes at the rate of 48 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 7.0\nn1 = 68.0\nn2 = 9.0\nn3 = 48.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "908" - ], - "split": "train" - }, - { - "Input": "radha bought a watch for rs . 144 and got a percentage of profit equal to the cost price of the watch . what is the cost price of the watch ?", - "Output Program": [ - "import math\nn0 = 144.0\nt0 = 100.0 * 100.0\nt1 = n0 * 100.0\nt2 = t1 * 4.0\nt3 = t0 + t2\nt4 = math.sqrt(max(0, t3))\nt5 = t4 - 100.0\nt6 = t5 / 2.0\nanswer = t6 + 10.0\nprint(answer)" - ], - "Output Answer": [ - "90" - ], - "split": "train" - }, - { - "Input": "how long will a boy take to run round a square field of side 20 meters , if he runs at the rate of 12 km / hr ?", - "Output Program": [ - "n0 = 20.0\nn1 = 12.0\nt0 = 1000.0 / 3600.0\nt1 = n0 * 4.0\nt2 = n1 * t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "24" - ], - "split": "train" - }, - { - "Input": "a reduction in the price of petrol by 10 % enables a motorist to buy 5 gallons more for $ 280 . find the original price of petrol ?", - "Output Program": [ - "n0 = 10.0\nn1 = 5.0\nn2 = 280.0\nt0 = n0 / 100.0\nt1 = 1.0 / 2.0\nt2 = 1.0 - t0\nt3 = n1 - t1\nt4 = n2 * t2\nt5 = n2 - t4\nanswer = t5 / t3\nprint(answer)" - ], - "Output Answer": [ - "6.222222222222222" - ], - "split": "train" - }, - { - "Input": "if rs . 7500 are borrowed at c . i at the rate of 4 % per annum , then after 2 years the amount to be paid is :", - "Output Program": [ - "n0 = 7500.0\nn1 = 4.0\nn2 = 2.0\nt0 = n1 + 100.0\nt1 = t0 / 100.0\nt2 = t1 * t1\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "8112.000000000001" - ], - "split": "train" - }, - { - "Input": "the difference between simple and compound interest on rs . 1600 for one year at 10 % per annum reckoned half - yearly is ?", - "Output Program": [ - "n0 = 1600.0\nn1 = 10.0\nt0 = n1 / 2.0\nt1 = n1 / 100.0\nt2 = t1 + 1.0\nt3 = t0 / 100.0\nt4 = t3 + 1.0\nt5 = t4**min(2.0, 5)\nt6 = t5 - t2\nanswer = n0 * t6\nprint(answer)" - ], - "Output Answer": [ - "3.9999999999999147" - ], - "split": "train" - }, - { - "Input": "a person borrows rs . 5000 for 2 years at 4 % p . a . simple interest . he immediately lends it to another person at 7 % p . a for 2 years . find his gain in the transaction per year .", - "Output Program": [ - "n0 = 5000.0\nn1 = 2.0\nn2 = 4.0\nn3 = 7.0\nn4 = 2.0\nt0 = n0 * n3\nt1 = n0 * n2\nt2 = n1 * t0\nt3 = n1 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nt6 = t4 - t5\nanswer = t6 / n1\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "one fourth of one third of two fifth of a number is 14 . what will be 40 % of that number", - "Output Program": [ - "n0 = 14.0\nn1 = 40.0\nt0 = 2.0 + 3.0\nt1 = 1.0 / 4.0\nt2 = 1.0 / 3.0\nt3 = 2.0 / t0\nt4 = t1 * t2\nt5 = t3 * t4\nt6 = n0 / t5\nt7 = n1 * t6\nanswer = t7 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "168" - ], - "split": "train" - }, - { - "Input": "if a lends rs . 3500 to b at 10 % per annum and b lends the same sum to c at 13 % per annum then the gain of b in a period of 3 years is ?", - "Output Program": [ - "n0 = 3500.0\nn1 = 10.0\nn2 = 13.0\nn3 = 3.0\nt0 = n0 * n2\nt1 = n0 * n1\nt2 = t0 * n3\nt3 = n3 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nanswer = t4 - t5\nprint(answer)" - ], - "Output Answer": [ - "315" - ], - "split": "train" - }, - { - "Input": "a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 % . during the new year season , it further marked up its prices by 25 % of the original retail price . in february , the store then offered a discount of 6 % . what was its profit on the items sold in february ?", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nn2 = 6.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = 100.0 - n2\nt3 = t2 / 100.0\nt4 = t1 / 100.0\nt5 = t0 * t4\nt6 = t3 * t5\nanswer = t6 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "41" - ], - "split": "train" - }, - { - "Input": "in an election between two candidates , the winner has a margin of 10 % of the votes polled . if 1500 people change their mind and vote for the loser , the loser would have won by a margin of 10 % of the votes polled . find the total number of votes polled in the election ?", - "Output Program": [ - "n0 = 10.0\nn1 = 1500.0\nn2 = 10.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "15000" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 340 after successive discount is 20 % and 15 % is ?", - "Output Program": [ - "n0 = 340.0\nn1 = 20.0\nn2 = 15.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "231.2" - ], - "split": "train" - }, - { - "Input": "if leo gains 10 pounds , he will weigh 50 % more than his sister kendra . currently their combined weight is 150 pounds . what is leo ' s current weight ?", - "Output Program": [ - "n0 = 10.0\nn1 = 50.0\nn2 = 150.0\nt0 = n1 + 100.0\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nt3 = n2 * t1\nt4 = t3 - n0\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "86" - ], - "split": "train" - }, - { - "Input": "the cost price of an article is 64 % of the marked price . calculate the gain percent after allowing a discount of 12 % ?", - "Output Program": [ - "n0 = 64.0\nn1 = 12.0\nt0 = 100.0 - n1\nt1 = t0 / n0\nt2 = t1 - 1.0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "37.5" - ], - "split": "train" - }, - { - "Input": "a man buys a cycle for rs . 1600 and sells it at a loss of 20 % . what is the selling price of the cycle ?", - "Output Program": [ - "n0 = 1600.0\nn1 = 20.0\nt0 = 100.0 - n1\nt1 = n0 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1280" - ], - "split": "train" - }, - { - "Input": "we had $ 350 left after spending 30 % of the money that we took for shopping . how much money did we start with ?", - "Output Program": [ - "n0 = 350.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "500.00000000000006" - ], - "split": "train" - }, - { - "Input": "a baseball card decreased in value 30 % in its first year and 10 % in its second year . what was the total percent decrease of the card ' s value over the two years ?", - "Output Program": [ - "n0 = 30.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = t4 * 100.0\nanswer = 100.0 - t5\nprint(answer)" - ], - "Output Answer": [ - "37" - ], - "split": "train" - }, - { - "Input": "a man bought an article and sold it at a gain of 5 % . if he had bought it at 5 % less and sold it for re 1 less , he would have made a profit of 10 % . the c . p . of the article was", - "Output Program": [ - "n0 = 5.0\nn1 = 5.0\nn2 = 1.0\nn3 = 10.0\nt0 = n0 * 4.0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "mohit sold an article for $ 24000 . had he offered a discount of 10 % on the selling price , he would have earned a profit of 8 % . what is the cost price of the article ?", - "Output Program": [ - "n0 = 24000.0\nn1 = 10.0\nn2 = 8.0\nt0 = n2 + 100.0\nt1 = n0 * n1\nt2 = t1 / 100.0\nt3 = n0 - t2\nt4 = t3 / t0\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20000" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article at $ 100 with 20 % profit . then find its cost price ?", - "Output Program": [ - "n0 = 100.0\nn1 = 20.0\nt0 = n1 + n0\nt1 = n0 / t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "83.33333333333334" - ], - "split": "train" - }, - { - "Input": "a number increased by 10 % gives 550 . the number is", - "Output Program": [ - "n0 = 10.0\nn1 = 550.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "499.99999999999994" - ], - "split": "train" - }, - { - "Input": "the income of a broker remains unchanged though the rate of commission is increased from 4 % to 5 % . the percentage of slump in business is ?", - "Output Program": [ - "n0 = 4.0\nn1 = 5.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 / t1\nt3 = 1.0 - t2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20.000000000000007" - ], - "split": "train" - }, - { - "Input": "there were two candidates in an election . winner candidate received 62 % of votes and won the election by 324 votes . find the number of votes casted to the winning candidate ?", - "Output Program": [ - "n0 = 62.0\nn1 = 324.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nt3 = n1 / t2\nt4 = n0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "837" - ], - "split": "train" - }, - { - "Input": "i gain 70 paise on rs . 70 . my gain percent is :", - "Output Program": [ - "n0 = 70.0\nn1 = 70.0\nt0 = n0 / 100.0\nt1 = t0 * 100.0\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "1" - ], - "split": "train" - }, - { - "Input": "in an election between two candidates , the first candidate got 60 % of the votes and the second candidate got 240 votes . what was the total number of votes ?", - "Output Program": [ - "n0 = 60.0\nn1 = 240.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "one night 16 percent of the female officers on a police force were on duty . if 160 police officers were on duty that night and half of these were female officers , how many female officers were on the police force ?", - "Output Program": [ - "n0 = 16.0\nn1 = 160.0\nt0 = n1 / 2.0\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "train" - }, - { - "Input": "at a local appliance manufacturing facility , the workers received a 10 % hourly pay raise due to extraordinary performance . if one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged , by approximately what percent would he reduce the number of hours that he worked ?", - "Output Program": [ - "n0 = 10.0\n\nanswer = n0 - 1.0\nprint(answer)" - ], - "Output Answer": [ - "9" - ], - "split": "train" - }, - { - "Input": "a solution contains 8 parts of water for every 7 parts of lemonade syrup . how many parts of the solution should be removed and replaced with water so that the solution will now contain 10 % lemonade syrup ?", - "Output Program": [ - "n0 = 8.0\nn1 = 7.0\nn2 = 10.0\nt0 = n0 + n1\nt1 = 2.0 + 3.0\nt2 = n1 / t0\nt3 = 2.0 / t1\nt4 = t2 - t3\nt5 = t4 / t2\nanswer = t0 * t5\nprint(answer)" - ], - "Output Answer": [ - "2.1428571428571423" - ], - "split": "train" - }, - { - "Input": "in an acoustics class , 120 students are male and 100 students are female . 25 % of the male students and 20 % of the female students are engineering students . 20 % of the male engineering students and 25 % of the female engineering students passed the final exam . what percentage of engineering students passed the exam ?", - "Output Program": [ - "n0 = 120.0\nn1 = 100.0\nn2 = 25.0\nn3 = 20.0\nn4 = 20.0\nn5 = 25.0\nt0 = 1.0 + 4.0\nt1 = n0 / 4.0\nt2 = n1 / t0\nt3 = t1 / t0\nt4 = t2 / 4.0\nt5 = t3 * 2.0\nt6 = t4 + t5\nanswer = t6 + t0\nprint(answer)" - ], - "Output Answer": [ - "22" - ], - "split": "train" - }, - { - "Input": "the cost price of a radio is rs . 2400 and it was sold for rs . 2100 , find the loss % ?", - "Output Program": [ - "n0 = 2400.0\nn1 = 2100.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12.5" - ], - "split": "train" - }, - { - "Input": "a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 80 percent of books that were loaned out are returned and there are 64 books in the special collection at that time , how many books of the special collection were loaned out during that month ?", - "Output Program": [ - "n0 = 75.0\nn1 = 80.0\nn2 = 64.0\nt0 = n1 / 100.0\nt1 = n0 - n2\nt2 = 1.0 - t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "55.000000000000014" - ], - "split": "train" - }, - { - "Input": "walking 7 / 6 of his usual rate , a boy reaches his school 4 min early . find his usual time to reach the school ?", - "Output Program": [ - "n0 = 7.0\nn1 = 6.0\nn2 = 4.0\n\nanswer = n0 * n2\nprint(answer)" - ], - "Output Answer": [ - "28" - ], - "split": "train" - }, - { - "Input": "a trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg . in order to earn a profit of 20 % , what should be the sale price of the mixed tea ?", - "Output Program": [ - "n0 = 80.0\nn1 = 15.0\nn2 = 20.0\nn3 = 20.0\nn4 = 20.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n2\nt3 = t1 + t2\nt4 = t3 / t0\nt5 = n4 * t4\nt6 = t5 / 100.0\nanswer = t6 + t4\nprint(answer)" - ], - "Output Answer": [ - "19.2" - ], - "split": "train" - }, - { - "Input": "an empty wooden vessel weighs 14 % of its total weight when filled with paint . if the weight of a partially filled vessel is one half that of a completely filled vessel , what fraction of the vessel is filled .", - "Output Program": [ - "n0 = 14.0\nt0 = n0 / 2.0\nt1 = n0 - 1.0\nt2 = t0 - 1.0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.46153846153846156" - ], - "split": "train" - }, - { - "Input": "the population of a town is 10000 . it increases annually at the rate of 10 % p . a . what will be its population after 2 years ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 10.0\nn2 = 2.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = t1 * n2\nanswer = n0 + t2\nprint(answer)" - ], - "Output Answer": [ - "12000" - ], - "split": "train" - }, - { - "Input": "what sum of money will produce rs . 70 as simple interest in 4 years at 2 1 / 2 percent ?", - "Output Program": [ - "n0 = 70.0\nn1 = 4.0\nn2 = 2.0\nn3 = 1.0\nn4 = 2.0\nt0 = n3 / n4\nt1 = n2 + t0\nt2 = n1 * t1\nt3 = t2 / 100.0\nanswer = n0 / t3\nprint(answer)" - ], - "Output Answer": [ - "700" - ], - "split": "train" - }, - { - "Input": "a man buys a cycle for rs . 1400 and sells it at a loss of 20 % . what is the selling price of the cycle ?", - "Output Program": [ - "n0 = 1400.0\nn1 = 20.0\nt0 = 100.0 - n1\nt1 = n0 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1120" - ], - "split": "train" - }, - { - "Input": "in one alloy there is 12 % chromium while in another alloy it is 8 % . 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy . find the percentage of chromium in the new alloy .", - "Output Program": [ - "n0 = 12.0\nn1 = 8.0\nn2 = 15.0\nn3 = 35.0\nt0 = n2 + n3\nt1 = n0 * n2\nt2 = n1 * n3\nt3 = t1 / 100.0\nt4 = t2 / 100.0\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "9.2" - ], - "split": "train" - }, - { - "Input": "? % of 360 = 165.6", - "Output Program": [ - "n0 = 360.0\nn1 = 165.6\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "46" - ], - "split": "train" - }, - { - "Input": "in a public show 60 % of the seats were filled . if there were 600 seats in the hall , how many seats were vacant ?", - "Output Program": [ - "n0 = 60.0\nn1 = 600.0\nt0 = 100.0 - n0\nt1 = n1 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "240" - ], - "split": "train" - }, - { - "Input": "a man sold 20 articles for $ 60 and gained 20 % . how many articles should he sell for $ 70 to incur a loss 20 % ?", - "Output Program": [ - "n0 = 20.0\nn1 = 60.0\nn2 = 20.0\nn3 = 70.0\nn4 = 20.0\nt0 = n1 * 100 / (100 + n0) # original_price_before gain\nt1 = n3 * 100 / (100 + 1e-5 - n0) # original price before loss\nt2 = t0 / n0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "34.99999562500055" - ], - "split": "train" - }, - { - "Input": "solution p is 20 percent lemonade and 80 percent carbonated water by volume ; solution q is 45 percent lemonade and 55 percent carbonated water by volume . if a mixture of pq contains 60 percent carbonated water , what percent of the volume of the mixture is p ?", - "Output Program": [ - "n0 = 20.0\nn1 = 80.0\nn2 = 45.0\nn3 = 55.0\nn4 = 60.0\nt0 = n4 / 100.0\nt1 = n3 / 100.0\nt2 = n1 / 100.0\nt3 = t0 - t1\nt4 = t2 - t0\nt5 = t3 + t4\nt6 = t3 / t5\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "19.99999999999997" - ], - "split": "train" - }, - { - "Input": "a man buys an article for $ 100 . and sells it for $ 115 . find the gain percent ?", - "Output Program": [ - "n0 = 100.0\nn1 = 115.0\nt0 = n0 / 100.0\nt1 = n1 / t0\nanswer = t1 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "at what rate percent on simple interest will rs . 1750 amount to rs . 2000 in 2 years ?", - "Output Program": [ - "n0 = 1750.0\nn1 = 2000.0\nn2 = 2.0\nt0 = n1 - n0\nt1 = t0 / n0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "7.142857142857142" - ], - "split": "train" - }, - { - "Input": "? % of 360 = 115.2", - "Output Program": [ - "n0 = 360.0\nn1 = 115.2\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "32" - ], - "split": "train" - }, - { - "Input": "walking 7 / 6 of his usual rate , a boy reaches his school 2 min early . find his usual time to reach the school ?", - "Output Program": [ - "n0 = 7.0\nn1 = 6.0\nn2 = 2.0\n\nanswer = n0 * n2\nprint(answer)" - ], - "Output Answer": [ - "14" - ], - "split": "train" - }, - { - "Input": "ashok and pyarelal invested money together in a business and share a capital of ashok is 1 / 9 of that of pyarelal . if the incur a loss of rs 1000 then loss of pyarelal ?", - "Output Program": [ - "n0 = 1.0\nn1 = 9.0\nn2 = 1000.0\nt0 = n0 + n1\nt1 = n1 * n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "900" - ], - "split": "train" - }, - { - "Input": "in 1998 the profits of company n were 10 percent of revenues . in 1999 , the revenues of company n fell by 30 percent , but profits were 16 percent of revenues . the profits in 1999 were what percent of the profits in 1998 ?", - "Output Program": [ - "n0 = 1998.0\nn1 = 10.0\nn2 = 1999.0\nn3 = 20.0\nn4 = 14.0\nn5 = 1999.0\nn6 = 1998.0\nt0 = n4 / 100.0\nt1 = n3 / 100.0\nt2 = n1 / 100.0\nt3 = 1.0 - t1\nt4 = t0 * t3\nt5 = t4 / t2\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "112.00000000000001" - ], - "split": "train" - }, - { - "Input": "if it is assumed that 80 percent of those who receive a questionnaire by mail will respond and 300 responses are needed , what is the minimum number of questionnaires that should be mailed ?", - "Output Program": [ - "n0 = 80.0\nn1 = 300.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "375" - ], - "split": "train" - }, - { - "Input": "by selling 9 pencils for a rupee a man loses 20 % . how many for a rupee should he sell in order to gain 20 % ?", - "Output Program": [ - "n0 = 9.0\nn1 = 20.0\nn2 = 20.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = 1.0 / t1\nt3 = t0 * t2\nt4 = 1.0 / t3\nanswer = n0 * t4\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "in a public show 62 % of the seats were filled . if there were 600 seats in the hall , how many seats were vacant ?", - "Output Program": [ - "n0 = 62.0\nn1 = 600.0\nt0 = 100.0 - n0\nt1 = n1 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "228" - ], - "split": "train" - }, - { - "Input": "the manufacturing cost of a shoe is rs . 190 and the transportation lost is rs . 500 for 100 shoes . what will be the selling price if it is sold at 20 % gains", - "Output Program": [ - "n0 = 190.0\nn1 = 500.0\nn2 = 100.0\nn3 = 20.0\nt0 = n1 / n2\nt1 = n3 / n2\nt2 = n0 + t0\nt3 = t2 * t1\nanswer = t2 + t3\nprint(answer)" - ], - "Output Answer": [ - "234" - ], - "split": "train" - }, - { - "Input": "the manager of a produce market purchased a quantity of tomatoes for $ 0.80 per pound . due to improper handling , 20 percent of the tomatoes , by weight , were ruined and discarded . at what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 8 percent of the cost of the tomatoes .", - "Output Program": [ - "n0 = 0.8\nn1 = 20.0\nn2 = 8.0\nt0 = n2 / 100.0\nt1 = 100.0 - n1\nt2 = t0 + 1.0\nt3 = t1 / 100.0\nt4 = n0 / t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "1.08" - ], - "split": "train" - }, - { - "Input": "a sum fetched a total simple interest of rs . 4016.25 at the rate of 3 % p . a . in 5 years . what is the sum ?", - "Output Program": [ - "n0 = 4016.25\nn1 = 3.0\nn2 = 5.0\nt0 = n0 * 100.0\nt1 = t0 / n1\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "26775" - ], - "split": "train" - }, - { - "Input": "a polling company surveyed a certain country , and it found that 35 % of that country \u2019 s registered voters had an unfavorable impression of both of that state \u2019 s major political parties and that 20 % had a favorable impression only of party q . if one registered voter has a favorable impression of both parties for every two registered voters who have a favorable impression only of party b , then what percentage of the country \u2019 s registered voters have a favorable impression of both parties ( assuming that respondents to the poll were given a choice between favorable and unfavorable impressions only ) ?", - "Output Program": [ - "n0 = 35.0\nn1 = 20.0\nt0 = n0 + n1\nt1 = 100.0 - t0\nanswer = t1 / 3.0\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "the price of a book is increased from $ 300 to $ 480 . what is the % of increase in its price ?", - "Output Program": [ - "n0 = 300.0\nn1 = 480.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 9 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discounts rates is 50 percent , what is the discount rate on pony jeans ?", - "Output Program": [ - "n0 = 15.0\nn1 = 18.0\nn2 = 9.0\nn3 = 5.0\nn4 = 3.0\nn5 = 2.0\nn6 = 50.0\nt0 = n6 / 100.0\nt1 = n1 * n5\nt2 = n0 * n4\nt3 = t0 * t1\nt4 = t2 - t1\nt5 = n2 - t3\nt6 = t5 / t4\nt7 = t0 - t6\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "a shopkeeper forced to sell at cost price , uses a 750 grams weight for a kilogram . what is his gain percent ?", - "Output Program": [ - "n0 = 750.0\nt0 = 100.0 / 2.0\nt1 = 100.0 * 2.0\nt2 = t0 + t1\nt3 = t2 / n0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "train" - }, - { - "Input": "ramesh purchased a refrigerator for rs . 17500 after getting a discount of 20 % on the labelled price . he spent rs . 125 on transport and rs . 250 on installation . at what price should it be sold so that the profit earned would be 10 % if no discount was offered ?", - "Output Program": [ - "n0 = 17500.0\nn1 = 20.0\nn2 = 125.0\nn3 = 250.0\nn4 = 10.0\nt0 = n4 + 100.0\nt1 = n2 + n3\nt2 = n0 * 100.0\nt3 = 100.0 - n1\nt4 = t2 / t3\nt5 = t1 + t4\nt6 = t0 * t5\nanswer = t6 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "24475" - ], - "split": "train" - }, - { - "Input": "harkamal purchased 3 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 3.0\nn1 = 70.0\nn2 = 9.0\nn3 = 55.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "705" - ], - "split": "train" - }, - { - "Input": "if the simple interest on a sum of money for 2 years at 5 % per annum is $ 50 , what is the compound interest on the same at the same rate and for the same time ?", - "Output Program": [ - "n0 = 2.0\nn1 = 5.0\nn2 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n2 / t1\nt3 = n1 * t2\nt4 = t3 / 100.0\nt5 = t4 + t2\nt6 = n1 * t5\nt7 = t6 / 100.0\nt8 = t5 + t7\nanswer = t8 - t2\nprint(answer)" - ], - "Output Answer": [ - "51.25" - ], - "split": "train" - }, - { - "Input": "3 candidates in an election and received 4136 , 7636 and 11628 votes respectively . what % of the total votes did the winning candidate got in that election ?", - "Output Program": [ - "n0 = 3.0\nn1 = 4136.0\nn2 = 7636.0\nn3 = 11628.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = n3 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "49.69230769230769" - ], - "split": "train" - }, - { - "Input": "by selling a book for 200 , 20 % profit was earned . what is the cost price of the book ?", - "Output Program": [ - "n0 = 200.0\nn1 = 20.0\n\nanswer = n0 * 100 / (100 + n1) # original_price_before gain\nprint(answer)" - ], - "Output Answer": [ - "166.66666666666666" - ], - "split": "train" - }, - { - "Input": "if a large pizza has a radius that is 20 % larger that that of a medium pizza , what is the percent increase in area between a medium and a large pizza ?", - "Output Program": [ - "n0 = 20.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "43.99999999999999" - ], - "split": "train" - }, - { - "Input": "160 is what percent of 50 ?", - "Output Program": [ - "n0 = 160.0\nn1 = 50.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "320" - ], - "split": "train" - }, - { - "Input": "company kw is being sold , and both company a and company b were considering the purchase . the price of company kw is 60 % more than company a has in assets , and this same price is also 100 % more than company b has in assets . if companies a and b were to merge and combine their assets , the price of company kw would be approximately what percent of these combined assets ?", - "Output Program": [ - "n0 = 60.0\nn1 = 100.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nt2 = n1 + t1\nt3 = t0 / t2\nanswer = t3 * n1\nprint(answer)" - ], - "Output Answer": [ - "88.88888888888889" - ], - "split": "train" - }, - { - "Input": "the sale price of an article including the sales tax is rs . 616 . the rate of sales tax is 10 % . if the shopkeeper has made a profit of 16 % , then the cost price of the article is :", - "Output Program": [ - "n0 = 616.0\nn1 = 10.0\nn2 = 16.0\nt0 = n1 + 100.0\nt1 = n2 + 100.0\nt2 = n0 * 100.0\nt3 = t2 / t0\nt4 = t0 * t3\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "531.0344827586207" - ], - "split": "train" - }, - { - "Input": "the present worth of rs . 242 due in 2 years at 10 % per annum compound interest is :", - "Output Program": [ - "n0 = 242.0\nn1 = 2.0\nn2 = 10.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "199.99999999999997" - ], - "split": "train" - }, - { - "Input": "indu gave bindu rs . 4375 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?", - "Output Program": [ - "n0 = 4375.0\nn1 = 2.0\nn2 = 4.0\nn3 = 2.0\nn4 = 4.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = n0 * t0\nt3 = n1 * t2\nt4 = t1**min(n1, 5)\nt5 = n0 * t4\nt6 = t5 - n0\nanswer = t6 - t3\nprint(answer)" - ], - "Output Answer": [ - "7.0000000000009095" - ], - "split": "train" - }, - { - "Input": "dhoni spent 40 percent of his earning last month on rent and 20 percent less than what he spent on rent to purchase a new dishwasher . what percent of last month ' s earning did dhoni have left over ?", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nt2 = n0 * t1\nt3 = n0 + t2\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "28" - ], - "split": "train" - }, - { - "Input": "a person buys an article at rs . 500 . at what price should he sell the article so as to make a profit of 20 % ?", - "Output Program": [ - "n0 = 500.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "at what rate percent on simple interest will rs . 750 amount to rs . 900 in 10 years ?", - "Output Program": [ - "n0 = 750.0\nn1 = 900.0\nn2 = 10.0\nt0 = n1 - n0\nt1 = t0 / n0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2" - ], - "split": "train" - }, - { - "Input": "a tradesman sold an article at a loss of 25 % . if the selling price had been increased by $ 500 , there would have been a gain of 15 % . what was the cost price of the article ?", - "Output Program": [ - "n0 = 25.0\nn1 = 500.0\nn2 = 15.0\nt0 = n0 + n2\nt1 = t0 / 100.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "1250" - ], - "split": "train" - }, - { - "Input": "two years ago , john put $ 5000 into a savings account . at the end of the first year , his account had accrued $ 500 in interest bringing his total balance to $ 5500 . the next year , his account balance increased by 10 % . at the end of the two years , by what percent has john ' s account balance increased from his initial deposit of $ 5000 ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 500.0\nn2 = 5500.0\nn3 = 10.0\nn4 = 5000.0\nt0 = n0 / n1\nt1 = n3 + t0\nanswer = t1 + 1.0\nprint(answer)" - ], - "Output Answer": [ - "21" - ], - "split": "train" - }, - { - "Input": "3 - fourth of two - third of 3 - seventh of a number is 27 . what is 10 % of that number ?", - "Output Program": [ - "n0 = 3.0\nn1 = 3.0\nn2 = 27.0\nn3 = 10.0\nt0 = 3.0 + 4.0\nt1 = n0 / 4.0\nt2 = 2.0 / 3.0\nt3 = n2 * n3\nt4 = n0 / t0\nt5 = t1 * t2\nt6 = t4 * t5\nt7 = t6 * 100.0\nanswer = t3 / t7\nprint(answer)" - ], - "Output Answer": [ - "12.600000000000001" - ], - "split": "train" - }, - { - "Input": "a man buys an article for $ 10 . and sells it for $ 15 . find the gain percent ?", - "Output Program": [ - "n0 = 10.0\nn1 = 15.0\nt0 = n0 / 100.0\nt1 = n1 / t0\nanswer = t1 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "in an election , candidate a got 60 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favor of candidate .", - "Output Program": [ - "n0 = 60.0\nn1 = 15.0\nn2 = 560000.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = 1.0 - t1\nt3 = n2 * t2\nanswer = t0 * t3\nprint(answer)" - ], - "Output Answer": [ - "285600" - ], - "split": "train" - }, - { - "Input": "a sum of money deposited at c . i . amounts to rs . 3000 in 3 years and to rs . 3600 in 4 years . find the rate percent ?", - "Output Program": [ - "n0 = 3000.0\nn1 = 3.0\nn2 = 3600.0\nn3 = 4.0\nt0 = n2 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "a sum amounts to rs . 3087 in 2 years at the rate of 5 % p . a . if interest was compounded yearly then what was the principal ?", - "Output Program": [ - "n0 = 3087.0\nn1 = 2.0\nn2 = 5.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "2800" - ], - "split": "train" - }, - { - "Input": "by investing in 1623 % stock at 64 , one earns rs . 1900 . the investment made is", - "Output Program": [ - "n0 = 1623.0\nn1 = 64.0\nn2 = 1900.0\nt0 = 100.0 / 2.0\nt1 = 2.0 * 4.0\nt2 = 100.0 * 4.0\nt3 = t1 * t1\nt4 = n2 - t2\nt5 = t3 * 3.0\nt6 = t5 / t0\nanswer = t6 * t4\nprint(answer)" - ], - "Output Answer": [ - "5760" - ], - "split": "train" - }, - { - "Input": "on a sum of money , the s . i . for 2 years is $ 660 , while the c . i . is $ 693 , the rate of interest being the same in both the cases . the rate of interest is ?", - "Output Program": [ - "n0 = 2.0\nn1 = 660.0\nn2 = 693.0\nt0 = n1 / n0\nt1 = n2 - n1\nt2 = t1 * 100.0\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "a pair of articles was bought for $ 50 at a discount of 40 % . what must be the marked price of each of the article ?", - "Output Program": [ - "n0 = 50.0\nn1 = 40.0\nt0 = n0 / 2.0\nt1 = 100.0 - n1\nt2 = t0 * t1\nanswer = t2 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "the difference between c . i . and s . i . on an amount of $ 10,000 for 2 years is $ 49 . what is the rate of interest per annum ?", - "Output Program": [ - "import math\nn0 = 10000.0\nn1 = 2.0\nn2 = 49.0\n\nanswer = math.sqrt(max(0, n2))\nprint(answer)" - ], - "Output Answer": [ - "7" - ], - "split": "train" - }, - { - "Input": "a store \u2019 s selling price of $ 2500 for a certain printer would yield a profit of 40 percent of the store \u2019 s cost for the printer . what selling price would yield a profit of 50 percent of the printer \u2019 s cost ?", - "Output Program": [ - "n0 = 2500.0\nn1 = 40.0\nn2 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * 100 / (100 + n1) # original_price_before gain\nt2 = t0 + 1.0\nanswer = t2 * t1\nprint(answer)" - ], - "Output Answer": [ - "2500" - ], - "split": "train" - }, - { - "Input": "500 is increased by 30 % . find the final number .", - "Output Program": [ - "n0 = 500.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "650" - ], - "split": "train" - }, - { - "Input": "a pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer \u2019 s suggested retail price . if during a sale , the store discounts an additional 20 percent from the discount price , what would be the lowest possible price of a container of pet food that had a manufacturer \u2019 s suggested retail price o f $ 35.00 ?", - "Output Program": [ - "n0 = 10.0\nn1 = 30.0\nn2 = 20.0\nn3 = 35.0\nt0 = 100.0 - n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = n3 * t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "19.6" - ], - "split": "train" - }, - { - "Input": "two boys starts from the same place walking at the rate of 5.3 kmph and 5.6 kmph respectively in the same direction . what time will they take to be 10.5 km apart ?", - "Output Program": [ - "n0 = 5.3\nn1 = 5.6\nn2 = 10.5\nt0 = n1 - n0\nanswer = n2 / t0\nprint(answer)" - ], - "Output Answer": [ - "35.00000000000002" - ], - "split": "train" - }, - { - "Input": "john and jane went out for a dinner and they ordered the same dish . both used a 10 % discount coupon . john paid a 15 % tip over the original price of the dish , while jane paid the tip over the discounted price for the coupon . if john paid $ 0.51 more than jane , what was the original price of the dish ?", - "Output Program": [ - "n0 = 10.0\nn1 = 15.0\nn2 = 0.51\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t1\nt3 = t0 * t2\nt4 = t0 - t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "34.000000000000036" - ], - "split": "train" - }, - { - "Input": "some of 60 % - intensity red paint is replaced with 30 % solution of red paint such that the new paint intensity is 40 % . what fraction of the original paint was replaced ?", - "Output Program": [ - "n0 = 60.0\nn1 = 30.0\nn2 = 40.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 - t1\nt4 = t2 - t1\nanswer = t3 / t4\nprint(answer)" - ], - "Output Answer": [ - "0.6666666666666665" - ], - "split": "train" - }, - { - "Input": "joe invested a certain sum of money in a simple interest bond whose value grew to $ 460 at the end of 3 years and to $ 560 at the end of another 5 years . what was the rate of interest in which he invested his sum ?", - "Output Program": [ - "n0 = 460.0\nn1 = 3.0\nn2 = 560.0\nn3 = 5.0\nt0 = n2 - n0\nt1 = t0 / n3\nt2 = n1 * t1\nt3 = n0 - t2\nt4 = t1 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "the price of a t . v . set worth rs . 15000 is to be paid in 20 installments of rs . 2000 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ?", - "Output Program": [ - "n0 = 15000.0\nn1 = 20.0\nn2 = 2000.0\nn3 = 6.0\n\nanswer = n0 - n2\nprint(answer)" - ], - "Output Answer": [ - "13000" - ], - "split": "train" - }, - { - "Input": "two numbers are less than third number by 25 % and 37 % respectively . how much percent is the second number less than by the first", - "Output Program": [ - "n0 = 25.0\nn1 = 37.0\nt0 = n1 - n0\nt1 = 100.0 - n0\nt2 = t0 / t1\nt3 = t2 * 100.0\nanswer = t3 - 10.0\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "population of a city in 20004 was 1300000 . if in 2005 there isan increment of 15 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 % , then find the population of city at the end of the year 2007", - "Output Program": [ - "n0 = 20004.0\nn1 = 1400000.0\nn2 = 2005.0\nn3 = 15.0\nn4 = 2006.0\nn5 = 35.0\nn6 = 2007.0\nn7 = 45.0\nn8 = 2007.0\nt0 = n5 / 100.0\nt1 = n3 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = 1.0 - t0\nt5 = t3 * t4\nt6 = t2 * t5\nanswer = n1 * t6\nprint(answer)" - ], - "Output Answer": [ - "1412775" - ], - "split": "train" - }, - { - "Input": "if a lends rs . 3200 to b at 12 % per annum and b lends the same sum to c at 14.5 % per annum then the gain of b in a period of 5 years is ?", - "Output Program": [ - "n0 = 3200.0\nn1 = 12.0\nn2 = 14.5\nn3 = 5.0\nt0 = n0 * n2\nt1 = n0 * n1\nt2 = t0 * n3\nt3 = n3 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nanswer = t4 - t5\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "one fourth of a solution that was 10 % sugar by weight was replaced by a second solution resulting in a solution that was 18 percent sugar by weight . the second solution was what percent sugar by weight ?", - "Output Program": [ - "n0 = 10.0\nn1 = 18.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 / 4.0\nt3 = t0 * 100.0\nt4 = t2 * 100.0\nt5 = 100.0 - t4\nt6 = t1 * t5\nt7 = t3 - t6\nt8 = t7 / t4\nanswer = t8 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "42" - ], - "split": "train" - }, - { - "Input": "in the first 20 overs of a cricket game , the run rate was only 4.2 . what should be the rate in the remaining 30 overs to reach the target of 250 runs ?", - "Output Program": [ - "n0 = 20.0\nn1 = 4.2\nn2 = 30.0\nn3 = 250.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "5.533333333333333" - ], - "split": "train" - }, - { - "Input": "the owner of a furniture shop charges his customer 25 % more than the cost price . if a customer paid rs . 4800 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 25.0\nn1 = 4800.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "3840" - ], - "split": "train" - }, - { - "Input": "a small college reduced its faculty by approximately 25 percent to 195 professors . what was the original number of faculty members ?", - "Output Program": [ - "n0 = 25.0\nn1 = 195.0\nt0 = 100.0 - n0\nt1 = t0 / 100.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "260" - ], - "split": "train" - }, - { - "Input": "find compound interest on $ 12000 at 15 % per annum for 2 years 4 months , compounded annually .", - "Output Program": [ - "n0 = 12000.0\nn1 = 15.0\nn2 = 2.0\nn3 = 4.0\nt0 = n1 / 100.0\nt1 = t0 / 3.0\nt2 = n0 * t0\nt3 = n0 + t2\nt4 = t3 * t0\nt5 = t2 + t4\nt6 = t3 + t4\nt7 = t6 * t1\nanswer = t5 + t7\nprint(answer)" - ], - "Output Answer": [ - "4663.5" - ], - "split": "train" - }, - { - "Input": "after decreasing 24 % in the price of an article costs rs . 320 . find the actual cost of an article ?", - "Output Program": [ - "n0 = 24.0\nn1 = 320.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "421.05263157894734" - ], - "split": "train" - }, - { - "Input": "4 weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 10 weavers in 10 days ?", - "Output Program": [ - "n0 = 4.0\nn1 = 4.0\nn2 = 4.0\nn3 = 10.0\nn4 = 10.0\nt0 = n0 * n0\nt1 = n0 / t0\nt2 = n3 * t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "if a trader sold two cars each at rs . 404415 and gains 15 % on the first and loses 15 % on the second , then his profit or loss percent on the whole is ?", - "Output Program": [ - "n0 = 404415.0\nn1 = 15.0\nn2 = 15.0\nt0 = n1 * n1\nanswer = t0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "2.25" - ], - "split": "train" - }, - { - "Input": "a money lender lent rs . 1000 at 3 % per year and rs . 1400 at 5 % per year . the amount should be returned to him when the total interest comes to rs . 390 . find the number of years .", - "Output Program": [ - "n0 = 1000.0\nn1 = 3.0\nn2 = 1400.0\nn3 = 5.0\nn4 = 390.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 + t3\nanswer = n4 / t4\nprint(answer)" - ], - "Output Answer": [ - "3.9" - ], - "split": "train" - }, - { - "Input": "a sum of rs . 1000 at simple interest amounts to rs . 1192 in 4 years . the s . i . for 1 year is :", - "Output Program": [ - "n0 = 1000.0\nn1 = 1192.0\nn2 = 4.0\nn3 = 1.0\nt0 = n1 / 10.0\nt1 = t0 - 100.0\nt2 = t1 / n2\nanswer = t2 * 10.0\nprint(answer)" - ], - "Output Answer": [ - "48.00000000000001" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sells his goods at cost price but uses a faulty meter that weighs 900 grams . find the profit percent .", - "Output Program": [ - "n0 = 900.0\nt0 = 1.0 + 4.0\nt1 = t0 + t0\nt2 = t1 * 100.0\nt3 = t2 - n0\nt4 = t3 / n0\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "11.11111111111111" - ], - "split": "train" - }, - { - "Input": "if 0.5 % of a = 75 paise , then the value of a is ?", - "Output Program": [ - "n0 = 0.5\nn1 = 75.0\n\nanswer = n1 / n0\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "a man buys a cycle for rs . 1400 and sells it at a loss of 5 % . what is the selling price of the cycle ?", - "Output Program": [ - "n0 = 1400.0\nn1 = 5.0\nt0 = 100.0 - n1\nt1 = n0 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1330" - ], - "split": "train" - }, - { - "Input": "a certain company \u2019 s profit in 1996 was 20 percent greater than its profit in 1995 , and its profit in 1997 was 20 percent greater than its profit in 1996 . the company \u2019 s profit in 1997 was what percent greater than its profit in 1995 ?", - "Output Program": [ - "n0 = 1996.0\nn1 = 20.0\nn2 = 1995.0\nn3 = 1997.0\nn4 = 20.0\nn5 = 1996.0\nn6 = 1997.0\nn7 = 1995.0\nt0 = n4 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "43.99999999999999" - ], - "split": "train" - }, - { - "Input": "the s . i . on a certain sum of money for 6 years at 14 % per annum is half the c . i . on rs . 7000 for 2 years at 7 % per annum . the sum placed on s . i . is ?", - "Output Program": [ - "n0 = 6.0\nn1 = 14.0\nn2 = 7000.0\nn3 = 2.0\nn4 = 7.0\nt0 = n4 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = n0 * t1\nt4 = t2**min(n3, 5)\nt5 = n2 * t4\nt6 = t5 - n2\nt7 = t6 / n3\nanswer = t7 / t3\nprint(answer)" - ], - "Output Answer": [ - "603.75" - ], - "split": "train" - }, - { - "Input": "selling an kite for rs . 30 , a shop keeper gains 20 % . during a clearance sale , the shopkeeper allows a discount of 10 % on the marked price . his gain percent during the sale is ?", - "Output Program": [ - "n0 = 30.0\nn1 = 20.0\nn2 = 10.0\nt0 = n1 + 100.0\nt1 = n0 / 100.0\nt2 = n0 * 100.0\nt3 = 100.0 - n2\nt4 = t2 / t0\nt5 = t1 * t3\nt6 = t5 - t4\nt7 = t6 / t4\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "a fruit seller sells mangoes at the rate of rs . 10 per kg and thereby loses 15 % . at what price per kg , he should have sold them to make a profit of 5 %", - "Output Program": [ - "n0 = 10.0\nn1 = 15.0\nn2 = 5.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = n0 * t0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "12.352941176470589" - ], - "split": "train" - }, - { - "Input": "a hostel had provisions for 250 men for 32 days . if 50 men left the hostel , how long will the food last at the same rate ?", - "Output Program": [ - "n0 = 250.0\nn1 = 32.0\nn2 = 50.0\nt0 = n0 * n1\nt1 = n0 - n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "if a speaks the truth 80 % of the times , b speaks the truth 60 % of the times . what is the probability that they tell the truth at the same time", - "Output Program": [ - "n0 = 80.0\nn1 = 60.0\nt0 = 4.0 * 5.0\nt1 = t0 * 5.0\nt2 = n0 / t1\nt3 = n1 / t1\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "0.48" - ], - "split": "train" - }, - { - "Input": "if the simple interest on a sum of money for 2 years at 5 % per annum is rs . 55 , what is the compound interest on the same sum at the rate and for the same time ?", - "Output Program": [ - "n0 = 2.0\nn1 = 5.0\nn2 = 55.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n2 / t1\nt3 = n1 * t2\nt4 = t3 / 100.0\nt5 = t4 + t2\nt6 = n1 * t5\nt7 = t6 / 100.0\nt8 = t5 + t7\nanswer = t8 - t2\nprint(answer)" - ], - "Output Answer": [ - "56.375" - ], - "split": "train" - }, - { - "Input": "in an election a candidate who gets 84 % of the votes is elected by a majority of 476 votes . what is the total number of votes polled ?", - "Output Program": [ - "n0 = 84.0\nn1 = 476.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "700" - ], - "split": "train" - }, - { - "Input": "the price of an item changed from $ 120 to $ 100 . then later the price decreased again from $ 100 to $ 80 . which of the two decreases was larger in percentage term ?", - "Output Program": [ - "n0 = 120.0\nn1 = 100.0\nn2 = 100.0\nn3 = 80.0\nt0 = n3 / n1\nt1 = t0 * 100.0\nanswer = 100.0 - t1\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "a man sells a car to his friend at 14 % loss . if the friend sells it for rs . 54000 and gains 20 % , the original c . p . of the car was :", - "Output Program": [ - "n0 = 14.0\nn1 = 54000.0\nn2 = 20.0\nt0 = n2 + 100.0\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t1 / t0\nt4 = t3 * 100.0\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "52325.58139534884" - ], - "split": "train" - }, - { - "Input": "a dishonest shopkeeper professes to sell pulses at the cost price , but he uses a false weight of 960 gm . for a kg . his gain is \u2026 % .", - "Output Program": [ - "n0 = 960.0\nt0 = 1.0 + 4.0\nt1 = t0 * 2.0\nt2 = t1 * 100.0\nt3 = n0 / t2\nt4 = 1 / t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "4.166666666666674" - ], - "split": "train" - }, - { - "Input": "increasing the original price of an article by 10 percent and then increasing the new price by 10 percent is equivalent to increasing the original price by", - "Output Program": [ - "n0 = 10.0\nn1 = 10.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1 * t1\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "21.000000000000018" - ], - "split": "train" - }, - { - "Input": "a 6 % stock yields 8 % . the market value of the stock is ?", - "Output Program": [ - "n0 = 6.0\nn1 = 8.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article offering a discount of 10 % and earned a profit of 25 % . what would have been the percentage of profit earned if no discount was offered ?", - "Output Program": [ - "n0 = 10.0\nn1 = 25.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * 100.0\nt3 = t2 / t1\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "38.888888888888886" - ], - "split": "train" - }, - { - "Input": "one ball will drop from a certain height . the height it will reach after rebounding from the floor is 50 percent of the previous height . the total travel is 200 cm when it touches the floor on third time . what is the value of the original height ?", - "Output Program": [ - "n0 = 50.0\nn1 = 200.0\nt0 = n0 / 100.0\nt1 = t0 + 2.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sells his goods at cost price but uses a faulty meter that weighs 940 grams . find the profit percent .", - "Output Program": [ - "n0 = 940.0\nt0 = 1.0 + 4.0\nt1 = t0 + t0\nt2 = t1 * 100.0\nt3 = t2 - n0\nt4 = t3 / n0\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "6.382978723404255" - ], - "split": "train" - }, - { - "Input": "during a sale , the price of a pair of shoes is marked down 20 % from the regular price . after the sale ends , the price goes back to the original price . what is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes ?", - "Output Program": [ - "n0 = 20.0\nt0 = n0 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "by investing rs . 1620 in 8 % stock , michael earns rs . 135 . the stock is then quoted at", - "Output Program": [ - "n0 = 1620.0\nn1 = 8.0\nn2 = 135.0\nt0 = n0 / n2\nt1 = n1 / 100.0\nt2 = t0 * t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "96" - ], - "split": "train" - }, - { - "Input": "in an election only two candidates contested . a candidate secured 70 % of the valid votes and won by a majority of 192 votes . find the total number of valid votes ?", - "Output Program": [ - "n0 = 70.0\nn1 = 192.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "480" - ], - "split": "train" - }, - { - "Input": "a trader marked the selling price of an article at 40 % above the cost price . at the time of selling , he allows certain discount and suffers a loss of 1 % . he allowed a discount of :", - "Output Program": [ - "n0 = 40.0\nn1 = 1.0\nt0 = 2.0 + 3.0\nt1 = n0 + 100.0\nt2 = t0 * 2.0\nt3 = t2 + 1.0\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "7.857142857142857" - ], - "split": "train" - }, - { - "Input": "in an election a candidate who gets 60 % of the votes is elected by a majority of 1300 votes . what is the total number of votes polled ?", - "Output Program": [ - "n0 = 60.0\nn1 = 1300.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "6500" - ], - "split": "train" - }, - { - "Input": "fresh grapes contain 60 % by weight while dried grapes contain 20 % water by weight . what is the weight of dry grapes available from 30 kg of fresh grapes ?", - "Output Program": [ - "n0 = 60.0\nn1 = 20.0\nn2 = 30.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = n2 * t0\nt3 = t2 / 100.0\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "by selling 88 pens , a trader gains the cost of 22 pens . find his gain percentage ?", - "Output Program": [ - "n0 = 88.0\nn1 = 22.0\nt0 = n1 / n0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "if albert \u2019 s monthly earnings rise by 36 % , he would earn $ 495 . if , instead , his earnings rise by only 25 % , how much ( in $ ) would he earn this month ?", - "Output Program": [ - "n0 = 36.0\nn1 = 495.0\nn2 = 25.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = n1 / t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "454.9632352941177" - ], - "split": "train" - }, - { - "Input": "a bowl of fruit contains 10 apples and 23 oranges . how many oranges must be removed so that 50 % of the pieces of fruit in the bowl will be apples ?", - "Output Program": [ - "n0 = 10.0\nn1 = 23.0\nn2 = 50.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = t0 * t1\nt3 = t2 - n0\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "13" - ], - "split": "train" - }, - { - "Input": "solution y is 30 percent liquid x and 70 percent water . if 3 kilograms of water evaporate from 8 kilograms of solution y and 3 kilograms of solution y are added to the remaining 6 kilograms of liquid , what percent of this new solution is liquid x ?", - "Output Program": [ - "n0 = 30.0\nn1 = 70.0\nn2 = 3.0\nn3 = 8.0\nn4 = 3.0\nn5 = 6.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = n3 * t0\nt3 = n2 * t0\nt4 = n2 * t1\nt5 = n3 * t1\nt6 = t2 + t3\nt7 = t5 - n2\nt8 = t4 + t7\nt9 = t6 + t8\nt10 = t6 / t9\nanswer = t10 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "41.25" - ], - "split": "train" - }, - { - "Input": "after getting 2 successive discounts , a shirt with a list price of rs 150 is available at rs 105 . if the second discount is 12.55 , find the first discount .", - "Output Program": [ - "n0 = 2.0\nn1 = 150.0\nn2 = 105.0\nn3 = 12.55\nt0 = n2 * 100.0\nt1 = 100.0 - n3\nt2 = t0 / t1\nt3 = n1 - t2\nt4 = t3 * 100.0\nanswer = t4 / n1\nprint(answer)" - ], - "Output Answer": [ - "19.954259576901087" - ], - "split": "train" - }, - { - "Input": "20 % of a number is more than 20 % of 650 by 190 . find the number ?", - "Output Program": [ - "n0 = 20.0\nn1 = 20.0\nn2 = 650.0\nn3 = 190.0\nt0 = n1 * n2\nt1 = t0 / 100.0\nt2 = n3 + t1\nt3 = t2 * 100.0\nanswer = t3 / n0\nprint(answer)" - ], - "Output Answer": [ - "1600" - ], - "split": "train" - }, - { - "Input": "ramesh purchased a refrigerator for rs . 12500 after getting a discount of 20 % on the labelled price . he spent rs . 125 on transport and rs . 250 on installation . at what price should it be sold so that the profit earned would be 20 % if no discount was offered ?", - "Output Program": [ - "n0 = 12500.0\nn1 = 20.0\nn2 = 125.0\nn3 = 250.0\nn4 = 20.0\nt0 = n4 + 100.0\nt1 = n2 + n3\nt2 = n0 * 100.0\nt3 = 100.0 - n1\nt4 = t2 / t3\nt5 = t1 + t4\nt6 = t0 * t5\nanswer = t6 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "19200" - ], - "split": "train" - }, - { - "Input": "a trader has 1600 kg of sugar . he sells a part at 8 % profit and the rest at 12 % profit . if he gains 11 % on the whole , find the quantity sold at 12 % ?", - "Output Program": [ - "n0 = 1600.0\nn1 = 8.0\nn2 = 12.0\nn3 = 11.0\nn4 = 12.0\nt0 = n0 * n3\nt1 = n0 * n1\nt2 = n2 - n1\nt3 = t0 - t1\nanswer = t3 / t2\nprint(answer)" - ], - "Output Answer": [ - "1200" - ], - "split": "train" - }, - { - "Input": "john spent 40 percent of his earning last month on rent and 30 percent less than what he spent on rent to purchase a new dishwasher . what percent of last month ' s earning did john have left over ?", - "Output Program": [ - "n0 = 40.0\nn1 = 30.0\nt0 = n0 / 100.0\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nt3 = t0 * 100.0\nt4 = t2 * t3\nt5 = t4 + t3\nanswer = 100.0 - t5\nprint(answer)" - ], - "Output Answer": [ - "32" - ], - "split": "train" - }, - { - "Input": "on a certain road , 20 % of the motorists exceed the posted speed limit and receive speeding tickets , but 20 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on that road exceed the posted speed limit ?", - "Output Program": [ - "n0 = 20.0\nn1 = 20.0\nt0 = 100.0 - n1\nt1 = n0 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "a watch was sold at a loss of 10 % . if it was sold for rs . 140 more , there would have been a gain of 2 % . what is the cost price ?", - "Output Program": [ - "n0 = 10.0\nn1 = 140.0\nn2 = 2.0\nt0 = 100.0 + n2\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t0 - t2\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "1166.6666666666667" - ], - "split": "train" - }, - { - "Input": "in 1998 the profits of company n were 10 percent of revenues . in 1999 , the revenues of company n fell by 20 percent , but profits were 15 percent of revenues . the profits in 1999 were what percent of the profits in 1998 ?", - "Output Program": [ - "n0 = 1998.0\nn1 = 10.0\nn2 = 1999.0\nn3 = 20.0\nn4 = 15.0\nn5 = 1999.0\nn6 = 1998.0\nt0 = n4 / 100.0\nt1 = n3 / 100.0\nt2 = n1 / 100.0\nt3 = 1.0 - t1\nt4 = t0 * t3\nt5 = t4 / t2\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "a , b and c enter into a partnership . a invests 3 times as much as b invests and 2 / 3 of what c invests . at the end of the year , the profit earned is rs . 11000 . what is the share of c ?", - "Output Program": [ - "n0 = 3.0\nn1 = 2.0\nn2 = 3.0\nn3 = 11000.0\nt0 = n1 / n0\nt1 = n0 * t0\nt2 = t0 + t1\nt3 = t2 + 1.0\nt4 = 1 / t3\nanswer = n3 * t4\nprint(answer)" - ], - "Output Answer": [ - "3000.0000000000005" - ], - "split": "train" - }, - { - "Input": "an amount of rs . 100000 is invested in two types of shares . the first yields an interest of 9 % p . a and the second , 11 % p . a . if the total interest at the end of one year is 9 1 / 2 % , then the amount invested at 11 % was ?", - "Output Program": [ - "n0 = 100000.0\nn1 = 9.0\nn2 = 11.0\nn3 = 9.0\nn4 = 1.0\nn5 = 2.0\nn6 = 11.0\nt0 = n4 / n5\nt1 = n1 / 100.0\nt2 = n2 / 100.0\nt3 = n1 + t0\nt4 = n0 * t1\nt5 = t2 - t1\nt6 = t3 / 100.0\nt7 = n0 * t6\nt8 = t7 - t4\nanswer = t8 / t5\nprint(answer)" - ], - "Output Answer": [ - "24999.999999999996" - ], - "split": "train" - }, - { - "Input": "at what price must an book costing $ 47.50 be marked in order that after deducting 8 % from the list price . it may be sold at a profit of 25 % on the cost price ?", - "Output Program": [ - "n0 = 47.5\nn1 = 8.0\nn2 = 25.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = n0 * t0\nt3 = t2 / 100.0\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "64.53804347826086" - ], - "split": "train" - }, - { - "Input": "exactly 36 % of the numbers in set s are even multiples of 3 . if 40 % of the even integers in set s are not multiples of 3 , what percent of the numbers in set s are not even integers ?", - "Output Program": [ - "n0 = 36.0\nn1 = 3.0\nn2 = 40.0\nn3 = 3.0\nt0 = 100.0 - n2\nt1 = n0 / t0\nt2 = t1 * 100.0\nanswer = 100.0 - t2\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "the owner of a furniture shop charges his customer 10 % more than the cost price . if a customer paid rs . 7350 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 10.0\nn1 = 7350.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "6681.818181818181" - ], - "split": "train" - }, - { - "Input": "the present population of a town is 240 . population increase rate is 10 % p . a . find the population of town after 1 years ?", - "Output Program": [ - "n0 = 240.0\nn1 = 10.0\nn2 = 1.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "264" - ], - "split": "train" - }, - { - "Input": "fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 3 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discounts rates is 18 percent , what is the discount rate on pony jeans ?", - "Output Program": [ - "n0 = 15.0\nn1 = 18.0\nn2 = 3.0\nn3 = 5.0\nn4 = 3.0\nn5 = 2.0\nn6 = 18.0\nt0 = n6 / 100.0\nt1 = n1 * n5\nt2 = n0 * n4\nt3 = t0 * t1\nt4 = t2 - t1\nt5 = n2 - t3\nt6 = t5 / t4\nt7 = t0 - t6\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "56.666666666666664" - ], - "split": "train" - }, - { - "Input": "the compound interest earned on a sum for the second and the third years are $ 1400 and $ 1540 respectively . what is the rate of interest ?", - "Output Program": [ - "n0 = 1400.0\nn1 = 1540.0\nt0 = n1 - n0\nt1 = t0 * 100.0\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "a certain candy manufacturer reduced the weight of candy bar m by 40 percent buy left the price unchanged . what was the resulting percent increase in the price per ounce of candy bar m ?", - "Output Program": [ - "n0 = 40.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = 1.0 / t1\nt3 = t2 * 100.0\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "66.66666666666669" - ], - "split": "train" - }, - { - "Input": "weights of two friends ram and shyam are in the ratio 1 : 5 . if ram ' s weight is increased by 10 % and total weight of ram and shyam become 82.8 kg , with an increases of 15 % . by what percent did the weight of shyam has to be increased ?", - "Output Program": [ - "n0 = 1.0\nn1 = 5.0\nn2 = 10.0\nn3 = 82.8\nn4 = 15.0\nt0 = n0 / n1\nt1 = n4 - n2\nt2 = t0 * t1\nanswer = n4 + t2\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "an empty fuel tank is filled with brand z gasoline . when the tank is 3 / 4 empty , it is filled with brand x gasoline . when the tank is half empty again , it is filled with brand z gasoline . when the tank is half empty again , it is filled with brand x gasoline . at this time , what percent of the gasoline in the tank is brand z ?", - "Output Program": [ - "n0 = 3.0\nn1 = 4.0\nt0 = n0 / n1\nt1 = t0 * 100.0\nt2 = 100.0 - t1\nt3 = t2 / 2.0\nt4 = 100.0 - t3\nanswer = t4 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "43.75" - ], - "split": "train" - }, - { - "Input": "what is the value of \u00e2 \u02c6 \u0161 25 % ?", - "Output Program": [ - "import math\nn0 = 25.0\nt0 = 2.0 * 3.141592653589793\nt1 = n0 / t0\nanswer = math.pi * t1**2\nprint(answer)" - ], - "Output Answer": [ - "49.73591971621729" - ], - "split": "train" - }, - { - "Input": "in how many years rs 160 will produce the same interest at 8 % as rs . 500 produce in 4 years at 8 %", - "Output Program": [ - "n0 = 160.0\nn1 = 8.0\nn2 = 500.0\nn3 = 4.0\nn4 = 8.0\nt0 = n1 / 100.0\nt1 = n2 * n4\nt2 = t1 / 100.0\nt3 = n0 * t0\nt4 = n3 * t2\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "12.5" - ], - "split": "train" - }, - { - "Input": "simple interest on a certain sum of money for 5 years at 8 % per annum is half the compound interest on rs . 8000 for 2 years at 15 % per annum . the sum placed on simple interest is", - "Output Program": [ - "n0 = 5.0\nn1 = 8.0\nn2 = 8000.0\nn3 = 2.0\nn4 = 15.0\nt0 = n2 * n4\nt1 = t0 / 100.0\nt2 = n2 + t1\nt3 = n4 * t2\nt4 = t3 / 100.0\nt5 = t1 + t4\nt6 = t5 / n3\nt7 = t6 / n0\nt8 = t7 * 100.0\nanswer = t8 / n1\nprint(answer)" - ], - "Output Answer": [ - "3225" - ], - "split": "train" - }, - { - "Input": "a property decreases in value every year at the rate of 6 1 / 4 % of its value at the beginning of the year its value at the end of 3 years was rs . 21093 . find its value at the beginning of the first year ?", - "Output Program": [ - "n0 = 6.0\nn1 = 1.0\nn2 = 4.0\nn3 = 3.0\nn4 = 21093.0\nt0 = n1 / n2\nt1 = n0 + t0\nt2 = t1 / 100.0\nt3 = n1 - t2\nt4 = t3**min(3.0, 5)\nanswer = n4 / t4\nprint(answer)" - ], - "Output Answer": [ - "25599.08977777778" - ], - "split": "train" - }, - { - "Input": "an article with cost price of 192 is sold at 25 % profit . what is the selling price ?", - "Output Program": [ - "n0 = 192.0\nn1 = 25.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "240" - ], - "split": "train" - }, - { - "Input": "a candidate got 35 % of the votes and lost to the rival by 2400 votes . how many votes were cast ?", - "Output Program": [ - "n0 = 35.0\nn1 = 2400.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "7999.999999999999" - ], - "split": "train" - }, - { - "Input": "jill invests $ 10000 in an account that pays an annual rate of 3.96 % , compounding semi - annually . approximately how much e does she have in her account after two years ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 3.96\nt0 = n1 / 100.0\nt1 = t0 / 2.0\nt2 = t1 + 1.0\nt3 = t2**min(4.0, 5)\nanswer = n0 * t3\nprint(answer)" - ], - "Output Answer": [ - "10815.834432633617" - ], - "split": "train" - }, - { - "Input": "two numbers are respectively 19 % and 40 % more than a third number . the percentage that is first of the second is ?", - "Output Program": [ - "n0 = 19.0\nn1 = 40.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = t0 / t1\nt3 = t2 * 100.0\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "the c . p of 5 books is equal to the s . p of 20 books . find his gain % or loss % ?", - "Output Program": [ - "n0 = 5.0\nn1 = 20.0\nt0 = n0 / n1\nt1 = 1.0 - t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "train" - }, - { - "Input": "john makes $ 65 a week from his job . he earns a raise andnow makes $ 70 a week . what is the % increase ?", - "Output Program": [ - "n0 = 65.0\nn1 = 70.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "7.6923076923076925" - ], - "split": "train" - }, - { - "Input": "an error 38 % in excess is made while measuring the side of a square . now what is the percentage of error in the calculated area of the square ?", - "Output Program": [ - "n0 = 38.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "90.44" - ], - "split": "train" - }, - { - "Input": "a towel , when bleached , lost 10 % of its length and 20 % of its breadth . what is the percentage decrease in area ?", - "Output Program": [ - "n0 = 10.0\nn1 = 20.0\nt0 = 100.0 * 100.0\nt1 = 100.0 - n0\nt2 = 100.0 - n1\nt3 = t1 * t2\nt4 = t0 - t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "28" - ], - "split": "train" - }, - { - "Input": "a reduction of 10 % in the price of oil enables a house wife to obtain 6 kgs more for rs . 900 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 10.0\nn1 = 6.0\nn2 = 900.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "a survey of employers found that during 1993 employment costs rose 3.5 percent , where employment costs consist of salary costs and fringe benefit costs . if salary costs rose 3 percent and fringe - benefit costs rose 5.5 percent during 1993 , then fringe - benefit costs represented what percent of employment costs at the beginning of 1993 ?", - "Output Program": [ - "n0 = 1993.0\nn1 = 3.5\nn2 = 3.0\nn3 = 5.5\nn4 = 1993.0\nn5 = 1993.0\nt0 = n1 - n2\nt1 = n3 - n2\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "a certain sum is invested at simple interest at 15 % p . a . for two years instead of investing at 12 % p . a . for the same time period . therefore the interest received is more by rs . 900 . find the sum ?", - "Output Program": [ - "n0 = 15.0\nn1 = 12.0\nn2 = 900.0\nt0 = n0 - n1\nt1 = t0 * 2.0\nt2 = t1 / 100.0\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "15000" - ], - "split": "train" - }, - { - "Input": "on selling 13 balls at rs . 720 , there is a loss equal to the cost price of 5 balls . the cost price of a ball is :", - "Output Program": [ - "n0 = 13.0\nn1 = 720.0\nn2 = 5.0\nt0 = n0 - n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "90" - ], - "split": "train" - }, - { - "Input": "if the cost price of 50 articles is equal to the selling price of 32 articles , then the gain or loss percent is ?", - "Output Program": [ - "n0 = 50.0\nn1 = 32.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = 100.0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "56.25" - ], - "split": "train" - }, - { - "Input": "how long will a boy take to run round a square field of side 35 metres . if he runs at the rate of 9 km / hr ?", - "Output Program": [ - "n0 = 35.0\nn1 = 9.0\nt0 = 1000.0 / 3600.0\nt1 = n0 * 4.0\nt2 = n1 * t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "56" - ], - "split": "train" - }, - { - "Input": "exactly 36 % of the numbers in set a are even multiples of 3 . if 40 % of the even integers in set a are not multiples of 3 , what percent of the numbers in set a are not even integers ?", - "Output Program": [ - "n0 = 36.0\nn1 = 3.0\nn2 = 40.0\nn3 = 3.0\nt0 = n0 / 100.0\nt1 = 100.0 - n2\nt2 = t1 / 100.0\nt3 = t0 / t2\nt4 = t3 * 100.0\nanswer = 100.0 - t4\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "suresh borrowed some money at the rate of 12 % p . a . for the first 3 years , 9 % p . a . for the next 5 years and 13 % p . a . for the period beyond 8 years . if the total interest paid by him at the end of 11 years is rs . 8160 , how much money did he borrow ?", - "Output Program": [ - "n0 = 12.0\nn1 = 3.0\nn2 = 9.0\nn3 = 5.0\nn4 = 13.0\nn5 = 8.0\nn6 = 11.0\nn7 = 8160.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n4 / 100.0\nt3 = n5 - n3\nt4 = n1 * t0\nt5 = n3 * t1\nt6 = t2 * t3\nt7 = t4 + t5\nt8 = t7 + t6\nanswer = n7 / t8\nprint(answer)" - ], - "Output Answer": [ - "6800" - ], - "split": "train" - }, - { - "Input": "3 candidates in an election and received 1136 , 7636 and 11628 votes respectively . what % of the total votes did the winningcandidate got in that election ?", - "Output Program": [ - "n0 = 3.0\nn1 = 1136.0\nn2 = 7636.0\nn3 = 11628.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = n3 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "56.99999999999999" - ], - "split": "train" - }, - { - "Input": "a shopkeeper loses 15 % , if an article is sold for rs . 153 . what should be the selling price of the article to gain 20 % ?", - "Output Program": [ - "n0 = 15.0\nn1 = 153.0\nn2 = 20.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = 1.0 - t0\nt3 = n1 / t2\nt4 = t3 * t1\nanswer = t3 + t4\nprint(answer)" - ], - "Output Answer": [ - "216" - ], - "split": "train" - }, - { - "Input": "company p had 15 percent more employees in december than it had in january . if company p had 500 employees in december , how many employees did it have in january ?", - "Output Program": [ - "n0 = 15.0\nn1 = 500.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "434.7826086956522" - ], - "split": "train" - }, - { - "Input": "a reduction of 15 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 800 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 15.0\nn1 = 5.0\nn2 = 800.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "24" - ], - "split": "train" - }, - { - "Input": "in one alloy there is 12 % chromium while in another alloy it is 10 % . 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy . find the percentage of chromium in the new alloy .", - "Output Program": [ - "n0 = 12.0\nn1 = 10.0\nn2 = 15.0\nn3 = 35.0\nt0 = n2 + n3\nt1 = n0 * n2\nt2 = n1 * n3\nt3 = t1 / 100.0\nt4 = t2 / 100.0\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10.6" - ], - "split": "train" - }, - { - "Input": "a baseball card decreased in value 10 % in its first year and 10 % in its second year . what was the total percent decrease of the card ' s value over the two years ?", - "Output Program": [ - "n0 = 10.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = t4 * 100.0\nanswer = 100.0 - t5\nprint(answer)" - ], - "Output Answer": [ - "19" - ], - "split": "train" - }, - { - "Input": "bhanu spends 30 % of his income on petrol on scooter 10 % of the remaining on house rent and the balance on food . if he spends rs . 300 on petrol then what is the expenditure on house rent ?", - "Output Program": [ - "n0 = 30.0\nn1 = 10.0\nn2 = 300.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = n2 / t1\nt3 = t2 - n2\nanswer = t0 * t3\nprint(answer)" - ], - "Output Answer": [ - "70" - ], - "split": "train" - }, - { - "Input": "in an election , candidate a got 70 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favor of candidate .", - "Output Program": [ - "n0 = 70.0\nn1 = 15.0\nn2 = 560000.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = 1.0 - t1\nt3 = n2 * t2\nanswer = t0 * t3\nprint(answer)" - ], - "Output Answer": [ - "333200" - ], - "split": "train" - }, - { - "Input": "ravi purchased a refrigerator and a mobile phone for rs . 15000 and rs . 8000 respectively . he sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 9 percent . overall he make a .", - "Output Program": [ - "n0 = 15000.0\nn1 = 8000.0\nn2 = 4.0\nn3 = 9.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = t2 + 1.0\nt4 = 1.0 - t1\nt5 = n0 * t4\nt6 = n1 * t3\nt7 = t5 + t6\nanswer = t7 - t0\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "sheela deposits rs . 3800 in bank savings account . if this is 32 % of her monthly income . what is her monthly income in ?", - "Output Program": [ - "n0 = 3800.0\nn1 = 32.0\nt0 = n0 * 100.0\nanswer = t0 / n1\nprint(answer)" - ], - "Output Answer": [ - "11875" - ], - "split": "train" - }, - { - "Input": "rs 3200 is divided into two parts such that one part is put out at 3 % and the other at 5 % . if the annual interest earned from both the investments be rs 144 , find the first part .", - "Output Program": [ - "n0 = 3200.0\nn1 = 3.0\nn2 = 5.0\nn3 = 144.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 * t0\nt3 = t0 - t1\nt4 = t2 - n3\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "799.9999999999999" - ], - "split": "train" - }, - { - "Input": "the majority owner of a business received 25 % of the profit , with each of 4 partners receiving 25 % of the remaining profit . if the majority owner and two of the owners combined to receive $ 50,000 , how much profit did the business make ?", - "Output Program": [ - "n0 = 25.0\nn1 = 4.0\nn2 = 25.0\nn3 = 50000.0\nt0 = 1.0 + 4.0\nt1 = n0 / 100.0\nt2 = t0 * 100.0\nt3 = 1.0 - t1\nt4 = t2 * 100.0\nt5 = t1 * t3\nt6 = t5 * 2.0\nt7 = t1 + t6\nanswer = t4 / t7\nprint(answer)" - ], - "Output Answer": [ - "80000" - ], - "split": "train" - }, - { - "Input": "if the cost price is 75 % of selling price then what is the profit percentage .", - "Output Program": [ - "n0 = 75.0\nt0 = 100.0 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sells his goods at cost price but uses a faulty meter that weighs 960 grams . find the profit percent .", - "Output Program": [ - "n0 = 960.0\nt0 = 1.0 + 4.0\nt1 = t0 + t0\nt2 = t1 * 100.0\nt3 = t2 - n0\nt4 = t3 / n0\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "4.166666666666666" - ], - "split": "train" - }, - { - "Input": "the profit earned by selling an article for 832 is equal to the loss incurred when the same article is sold for 448 . what should be the sale price of the article for making 50 per cent profit ?", - "Output Program": [ - "n0 = 832.0\nn1 = 448.0\nn2 = 50.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = t1 + 1.0\nt3 = t0 / 2.0\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "960" - ], - "split": "train" - }, - { - "Input": "the cost price of a radio is rs . 1500 and it was sold for rs . 1305 , find the loss % ?", - "Output Program": [ - "n0 = 1500.0\nn1 = 1305.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "13" - ], - "split": "train" - }, - { - "Input": "if the cost price is 25 % of selling price . then what is the profit percent .", - "Output Program": [ - "n0 = 25.0\nt0 = 100.0 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "300" - ], - "split": "train" - }, - { - "Input": "a baseball card decreased in value 20 % in its first year and 30 % in its second year . what was the total percent decrease of the card ' s value over the two years ?", - "Output Program": [ - "n0 = 20.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = t4 * 100.0\nanswer = 100.0 - t5\nprint(answer)" - ], - "Output Answer": [ - "44.00000000000001" - ], - "split": "train" - }, - { - "Input": "a student gets 50 % in one subject , 60 % in the other . to get an overall of 60 % how much should get in third subject .", - "Output Program": [ - "n0 = 50.0\nn1 = 60.0\nn2 = 60.0\nt0 = n0 + n1\nt1 = n2 * 3.0\nanswer = t1 - t0\nprint(answer)" - ], - "Output Answer": [ - "70" - ], - "split": "train" - }, - { - "Input": "a , b and c enter into partnership . a invests some money at the beginning , b invests double the amount after 6 months , and c invests thrice the amount after 8 months . if the annual gain be rs . 18300 . a ' s share is ?", - "Output Program": [ - "n0 = 6.0\nn1 = 8.0\nn2 = 18300.0\nt0 = 1.0 * 12.0\nt1 = 12.0 - n0\nt2 = 12.0 - n1\nt3 = t1 * 2.0\nt4 = t2 * 3.0\nt5 = t0 + t3\nt6 = t5 + t4\nt7 = n2 / t6\nanswer = t7 * t0\nprint(answer)" - ], - "Output Answer": [ - "6100" - ], - "split": "train" - }, - { - "Input": "the workforce of company x is 60 % female . the company hired 26 additional male workers , and as a result , the percent of female workers dropped to 55 % . how many employees did the company have after hiring the additional male workers ?", - "Output Program": [ - "n0 = 60.0\nn1 = 26.0\nn2 = 55.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 * t0\nt3 = t1 - t0\nt4 = t2 / t3\nanswer = n1 + t4\nprint(answer)" - ], - "Output Answer": [ - "312.0000000000004" - ], - "split": "train" - }, - { - "Input": "arun purchased 30 kg of wheat at the rate of rs . 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg . he mixed the two and sold the mixture . approximately what price per kg should be sell the mixture to make 25 % profit ?", - "Output Program": [ - "n0 = 30.0\nn1 = 11.5\nn2 = 20.0\nn3 = 14.25\nn4 = 25.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n3\nt3 = t1 + t2\nt4 = t3 / 100.0\nt5 = n4 * t4\nt6 = t3 + t5\nanswer = t6 / t0\nprint(answer)" - ], - "Output Answer": [ - "15.75" - ], - "split": "train" - }, - { - "Input": "how much 50 % of 56 is greater than 30 % of 50 ?", - "Output Program": [ - "n0 = 50.0\nn1 = 56.0\nn2 = 30.0\nn3 = 50.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "13" - ], - "split": "train" - }, - { - "Input": "a shopkeeper fixes the marked price of an item 32 % above its cost price . the percentage of discount allowed to gain 7 % is", - "Output Program": [ - "n0 = 32.0\nn1 = 7.0\nt0 = n1 + 100.0\nt1 = n0 + 100.0\nt2 = t0 / t1\nt3 = t2 * 100.0\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "18.939393939393938" - ], - "split": "train" - }, - { - "Input": "the population of a town is 15000 . it decreases annually at the rate of 20 % p . a . what will be its population after 2 years ?", - "Output Program": [ - "n0 = 15000.0\nn1 = 20.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n0 - t1\nt3 = t0 * t2\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "9600" - ], - "split": "train" - }, - { - "Input": "what will be the compound interest on a sum of rs . 40,000 after 3 years at the rate of 11 p . c . p . a . ?", - "Output Program": [ - "n0 = 40000.0\nn1 = 3.0\nn2 = 11.0\nt0 = n2 / 100.0\nt1 = 100.0 * 4.0\nt2 = t0 + 1.0\nt3 = t1 * 100.0\nt4 = t2**min(n1, 5)\nt5 = t3 * t4\nanswer = t5 - t3\nprint(answer)" - ], - "Output Answer": [ - "14705.240000000013" - ], - "split": "train" - }, - { - "Input": "p and q invested in a business . the profit earned was divided in the ratio 3 : 4 . if p invested rs 50000 , the amount invested by q is", - "Output Program": [ - "n0 = 3.0\nn1 = 4.0\nn2 = 50000.0\nt0 = n2 / n0\nanswer = n1 * t0\nprint(answer)" - ], - "Output Answer": [ - "66666.66666666667" - ], - "split": "train" - }, - { - "Input": "find the amount on rs . 5000 in 2 years , the rate of interest being 10 % per first year and 12 % for the second year ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 2.0\nn2 = 10.0\nn3 = 12.0\nt0 = n3 + 100.0\nt1 = n2 + 100.0\nt2 = n0 * t1\nt3 = t2 / 100.0\nt4 = t0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "6160" - ], - "split": "train" - }, - { - "Input": "a number increased by 10 % gives 660 . the number is ?", - "Output Program": [ - "n0 = 10.0\nn1 = 660.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "what sum of money will produce rs . 70 as simple interest in 5 years at 3 1 / 2 percent ?", - "Output Program": [ - "n0 = 70.0\nn1 = 5.0\nn2 = 3.0\nn3 = 1.0\nn4 = 2.0\nt0 = n3 / n4\nt1 = n2 + t0\nt2 = n1 * t1\nt3 = t2 / 100.0\nanswer = n0 / t3\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "some of 50 % - intensity red paint is replaced with 25 % solution of red paint such that the new paint intensity is 40 % . what fraction of the original paint was replaced ?", - "Output Program": [ - "n0 = 50.0\nn1 = 25.0\nn2 = 40.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 - t1\nt4 = t2 - t1\nanswer = t3 / t4\nprint(answer)" - ], - "Output Answer": [ - "0.3999999999999999" - ], - "split": "train" - }, - { - "Input": "a man buys a cycle for rs . 1800 and sells it at a loss of 25 % . what is the selling price of the cycle ?", - "Output Program": [ - "n0 = 1800.0\nn1 = 25.0\nt0 = 100.0 - n1\nt1 = n0 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1350" - ], - "split": "train" - }, - { - "Input": "raman mixed 44 kg of butter at rs . 150 per kg with 36 kg butter at the rate of rs . 125 per kg . at what price per kg should he sell the mixture to make a profit of 40 % in the transaction ?", - "Output Program": [ - "n0 = 44.0\nn1 = 150.0\nn2 = 36.0\nn3 = 125.0\nn4 = 40.0\nt0 = n0 + n2\nt1 = n4 / 100.0\nt2 = n0 * n1\nt3 = n2 * n3\nt4 = t2 + t3\nt5 = t4 / t0\nt6 = t5 * t1\nanswer = t5 + t6\nprint(answer)" - ], - "Output Answer": [ - "194.25" - ], - "split": "train" - }, - { - "Input": "company kw is being sold , and both company a and company b were considering the purchase . the price of company kw is 30 % more than company a has in assets , and this same price is also 100 % more than company b has in assets . if companies a and b were to merge and combine their assets , the price of company kw would be approximately what percent of these combined assets ?", - "Output Program": [ - "n0 = 30.0\nn1 = 100.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nt2 = n1 + t1\nt3 = t0 / t2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "78.78787878787878" - ], - "split": "train" - }, - { - "Input": "a chemist mixes one liter of pure water with x liters of a 45 % salt solution , and the resulting mixture is a 15 % salt solution . what is the value of x ?", - "Output Program": [ - "n0 = 45.0\nn1 = 15.0\nt0 = n0 - n1\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "0.5" - ], - "split": "train" - }, - { - "Input": "at what rate percent on simple interest will rs . 800 amount to rs . 950 in 5 years ?", - "Output Program": [ - "n0 = 800.0\nn1 = 950.0\nn2 = 5.0\nt0 = n1 - n0\nt1 = t0 / n0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "3.75" - ], - "split": "train" - }, - { - "Input": "in one alloy there is 10 % chromium while in another alloy it is 8 % . 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy . find the percentage of chromium in the new alloy .", - "Output Program": [ - "n0 = 10.0\nn1 = 8.0\nn2 = 15.0\nn3 = 35.0\nt0 = n2 + n3\nt1 = n0 * n2\nt2 = n1 * n3\nt3 = t1 / 100.0\nt4 = t2 / 100.0\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "8.6" - ], - "split": "train" - }, - { - "Input": "if the cost price is 89 % of selling price then what is the profit percentage .", - "Output Program": [ - "n0 = 89.0\nt0 = 100.0 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12.359550561797752" - ], - "split": "train" - }, - { - "Input": "at what rate percent per annum will the simple interest on a sum of money be 7 / 5 of the amount in 10 years ?", - "Output Program": [ - "n0 = 7.0\nn1 = 5.0\nn2 = 10.0\nt0 = n0 / n1\nt1 = t0 * 100.0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "14" - ], - "split": "train" - }, - { - "Input": "a , band c enter into partnership . a invests 3 times as much as b and b invests two - third of what c invests . at the end of the year , the profit earned is rs . 3300 . what is the share of b ?", - "Output Program": [ - "n0 = 3.0\nn1 = 3300.0\nt0 = 2.0 / n0\nt1 = 2.0 * n0\nt2 = t0 * n0\nt3 = t1 + t2\nt4 = t3 + n0\nt5 = 2.0 / t4\nanswer = n1 * t5\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "the cost price of a radio is rs . 1500 and it was sold for rs . 1335 , find the loss % ?", - "Output Program": [ - "n0 = 1500.0\nn1 = 1335.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "11" - ], - "split": "train" - }, - { - "Input": "in 1998 the profits of company n were 10 percent of revenues . in 1999 , the revenues of company n fell by 30 percent , but profits were 15 percent of revenues . the profits in 1999 were what percent of the profits in 1998 ?", - "Output Program": [ - "n0 = 1998.0\nn1 = 10.0\nn2 = 1999.0\nn3 = 30.0\nn4 = 15.0\nn5 = 1999.0\nn6 = 1998.0\nt0 = n4 / 100.0\nt1 = n3 / 100.0\nt2 = n1 / 100.0\nt3 = 1.0 - t1\nt4 = t0 * t3\nt5 = t4 / t2\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "104.99999999999999" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sells 300 metres of cloth for rs . 18000 at a loss of rs . 5 per metre . find his cost price for one metre of cloth ?", - "Output Program": [ - "n0 = 300.0\nn1 = 18000.0\nn2 = 5.0\nt0 = n1 / n0\nanswer = n2 + t0\nprint(answer)" - ], - "Output Answer": [ - "65" - ], - "split": "train" - }, - { - "Input": "? % of 360 = 144", - "Output Program": [ - "n0 = 360.0\nn1 = 144.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "a number increased by 40 % gives 1680 . the number is ?", - "Output Program": [ - "n0 = 40.0\nn1 = 1680.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "1200" - ], - "split": "train" - }, - { - "Input": "in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 20 percent , but profits were 20 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?", - "Output Program": [ - "n0 = 2008.0\nn1 = 10.0\nn2 = 2009.0\nn3 = 20.0\nn4 = 20.0\nn5 = 2009.0\nn6 = 2008.0\nt0 = n3 / 100.0\nt1 = 1.0 - t0\nt2 = n4 * t1\nt3 = t2 / n1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "160" - ], - "split": "train" - }, - { - "Input": "a dress on sale in a shop is marked at $ d . during the discount sale its price is reduced by 55 % . staff are allowed a further 50 % reduction on the discounted price . if a staff member buys the dress what will she have to pay in terms of d ?", - "Output Program": [ - "n0 = 55.0\nn1 = 50.0\nt0 = n1 / 100.0\nt1 = 100.0 - n0\nt2 = t1 / 100.0\nt3 = t2 * t0\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "0.225" - ], - "split": "train" - }, - { - "Input": "90 students represent x percent of the boys at jones elementary school . if the boys at jones elementary make up 30 % of the total school population of x students , what is x ?", - "Output Program": [ - "import math\nn0 = 90.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = n0 * 100.0\nt2 = t1 / t0\nanswer = math.sqrt(max(0, t2))\nprint(answer)" - ], - "Output Answer": [ - "173.20508075688772" - ], - "split": "train" - }, - { - "Input": "cricket match is conducted in us . the run rate of a cricket game was only 3.2 in first 10 over . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?", - "Output Program": [ - "n0 = 3.2\nn1 = 10.0\nn2 = 40.0\nn3 = 282.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "6.25" - ], - "split": "train" - }, - { - "Input": "the banker ' s gain on a bill due due 1 year hence at 12 % per annum is rs . 9 . the true discount is", - "Output Program": [ - "n0 = 1.0\nn1 = 12.0\nn2 = 9.0\nt0 = n1 / 100.0\nanswer = n2 / t0\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "train" - }, - { - "Input": "a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 % . during the new year season , it further marked up its prices by 25 % of the original retail price . in february , the store then offered a discount of 25 % . what was its profit on the items sold in february ?", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nn2 = 25.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = 100.0 - n2\nt3 = t2 / 100.0\nt4 = t1 / 100.0\nt5 = t0 * t4\nt6 = t3 * t5\nanswer = t6 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "12.5" - ], - "split": "train" - }, - { - "Input": "each of the cucumbers in 100 pounds of cucumbers is composed of 99 % water , by weight . after some of the water evaporates , the cucumbers are now 98 % water by weight . what is the new weight of the cucumbers , in pounds ?", - "Output Program": [ - "n0 = 100.0\nn1 = 99.0\nn2 = 98.0\nt0 = n0 - n1\nt1 = n0 - n2\nt2 = t0 / t1\nanswer = t2 * n0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "how much 60 % of 50 is greater than 45 % of 30 ?", - "Output Program": [ - "n0 = 60.0\nn1 = 50.0\nn2 = 45.0\nn3 = 30.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "16.5" - ], - "split": "train" - }, - { - "Input": "today joelle opened an interest - bearing savings account and deposited $ 6,000 . if the annual interest rate is 5 percent compounded interest , and she neither deposits nor withdraws money for exactly 2 years , how much money will she have in the account ?", - "Output Program": [ - "n0 = 6000.0\nn1 = 5.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "6615" - ], - "split": "train" - }, - { - "Input": "a watch was sold at a loss of 10 % . if it was sold for rs . 140 more , there would have been a gain of 3 % . what is the cost price ?", - "Output Program": [ - "n0 = 10.0\nn1 = 140.0\nn2 = 3.0\nt0 = 100.0 + n2\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t0 - t2\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "1076.923076923077" - ], - "split": "train" - }, - { - "Input": "a car has a 20 - gallon fuel to travel 500 miles . at this rate , how many gallons of fuel are needed for a 1000 mile car ?", - "Output Program": [ - "n0 = 20.0\nn1 = 500.0\nn2 = 1000.0\nt0 = 2.0 + 3.0\nt1 = n1 / n0\nt2 = t0 + t1\nanswer = t2 + 10.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "after decreasing 24 % in the price of an article costs rs . 760 . find the actual cost of an article ?", - "Output Program": [ - "n0 = 24.0\nn1 = 760.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "train" - }, - { - "Input": "the salaries of a and b together amount to $ 7000 . a spends 95 % of his salary and b , 85 % of his . if now , their savings are the same , what is a ' s salary ?", - "Output Program": [ - "n0 = 7000.0\nn1 = 95.0\nn2 = 85.0\nt0 = 100.0 - n2\nt1 = 100.0 - n1\nt2 = t0 / t1\nt3 = t2 + 1.0\nt4 = n0 / t3\nanswer = n0 - t4\nprint(answer)" - ], - "Output Answer": [ - "5250" - ], - "split": "train" - }, - { - "Input": "shopkeeper rise price by 34 % and gives successive discount of 10 % and 15 % . what is overall % gain or loss ?", - "Output Program": [ - "n0 = 34.0\nn1 = 10.0\nn2 = 15.0\nt0 = n0 + 100.0\nt1 = 100.0 - n2\nt2 = 100.0 - n1\nt3 = t1 / 100.0\nt4 = t2 / 100.0\nt5 = t0 * t4\nt6 = t3 * t5\nanswer = t6 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "2.510000000000005" - ], - "split": "train" - }, - { - "Input": "by weight , liquid x makes up 0.8 percent of solution a and 1.8 percent of solution b . if 600 grams of solution a are mixed with 700 grams of solution b , then liquid x accounts for what percent of the weight of the resulting solution ?", - "Output Program": [ - "n0 = 0.8\nn1 = 1.8\nn2 = 600.0\nn3 = 700.0\nt0 = n0 * n2\nt1 = n1 * n3\nt2 = t0 + t1\nanswer = t2 / 1000.0\nprint(answer)" - ], - "Output Answer": [ - "1.74" - ], - "split": "train" - }, - { - "Input": "a , b and c invested rs . 6300 , rs . 4200 and rs . 10500 respectively , in a partnership business . find the share of a in profit of rs . 12200 after a year ?", - "Output Program": [ - "n0 = 6300.0\nn1 = 4200.0\nn2 = 10500.0\nn3 = 12200.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n0 / t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "3660" - ], - "split": "train" - }, - { - "Input": "on a certain transatlantic crossing , 20 percent of a ship \u2019 s passengers held round - trip tickets and also took their cars abroad the ship . if 80 percent of the passengers with round - trip tickets did not take their cars abroad the ship , what percent of the ship \u2019 s passengers held round - trip tickets ?", - "Output Program": [ - "n0 = 20.0\nn1 = 80.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "100.00000000000003" - ], - "split": "train" - }, - { - "Input": "how long will a boy take to run round a square field of side 55 meters , if he runs at the rate of 9 km / hr ?", - "Output Program": [ - "n0 = 55.0\nn1 = 9.0\nt0 = 1000.0 / 3600.0\nt1 = n0 * 4.0\nt2 = n1 * t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "88" - ], - "split": "train" - }, - { - "Input": "10 % of ( 50 % of $ 500 ) is ?", - "Output Program": [ - "n0 = 10.0\nn1 = 50.0\nn2 = 500.0\nt0 = n1 * n2\nt1 = t0 / 100.0\nt2 = n0 * t1\nanswer = t2 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "a chemical supply company has 60 liters of a 20 % hno 3 solution . how many liters of pure undiluted hno 3 must the chemists add so that the resultant solution is a 50 % solution ?", - "Output Program": [ - "n0 = 60.0\nn1 = 20.0\nn2 = 3.0\nn3 = 3.0\nn4 = 50.0\nt0 = n0 / 2.0\nt1 = n0 * n1\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = t3 * 2.0\nprint(answer)" - ], - "Output Answer": [ - "36" - ], - "split": "train" - }, - { - "Input": "a reduction of 30 % in the price of oil enables a house wife to obtain 9 kgs more for rs . 1800 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 30.0\nn1 = 9.0\nn2 = 1800.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "seed mixture x is 40 percent ryegrass and 60 percent bluegrass by weight ; seed mixture y is 25 percent ryegrass and 75 percent fescue . if a mixture of x and y contains 32 percent ryegrass , what percent of the weight of this mixture is x ?", - "Output Program": [ - "n0 = 40.0\nn1 = 60.0\nn2 = 25.0\nn3 = 75.0\nn4 = 32.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n4 - n2\nt3 = t0 - t1\nanswer = t2 / t3\nprint(answer)" - ], - "Output Answer": [ - "46.66666666666666" - ], - "split": "train" - }, - { - "Input": "a side of beef lost 35 percent of its weight in processing . if the side of beef weighed 550 pounds after processing , how many pounds did it weigh before processing ?", - "Output Program": [ - "n0 = 35.0\nn1 = 550.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "846.1538461538462" - ], - "split": "train" - }, - { - "Input": "at what price must an article costing rs . 47.50 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 30 % on the cost price ?", - "Output Program": [ - "n0 = 47.5\nn1 = 5.0\nn2 = 30.0\nt0 = n0 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 + t2\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "65" - ], - "split": "train" - }, - { - "Input": "the simple interest on rs . 20 for 6 months at the rate of 5 paise per rupeeper month is", - "Output Program": [ - "n0 = 20.0\nn1 = 6.0\nn2 = 5.0\nt0 = n0 * n1\nt1 = n2 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "4 mat - weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 12 mat - weavers in 12 days ?", - "Output Program": [ - "n0 = 4.0\nn1 = 4.0\nn2 = 4.0\nn3 = 12.0\nn4 = 12.0\nt0 = n3 / n0\nt1 = n0 * t0\nanswer = t0 * t1\nprint(answer)" - ], - "Output Answer": [ - "36" - ], - "split": "train" - }, - { - "Input": "sam invested rs . 6000 @ 10 % per annum for one year . if the interest is compounded half - yearly , then the amount received by sam at the end of the year will be ?", - "Output Program": [ - "n0 = 6000.0\nn1 = 10.0\nt0 = n1 / 2.0\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nt3 = t2**min(2.0, 5)\nanswer = n0 * t3\nprint(answer)" - ], - "Output Answer": [ - "6615" - ], - "split": "train" - }, - { - "Input": "sachin borrows rs . 5000 for 2 years at 4 % p . a . simple interest . he immediately lends money to rahul at 25 / 4 % p . a . for 2 years . find the gain of one year by sachin .", - "Output Program": [ - "n0 = 5000.0\nn1 = 2.0\nn2 = 4.0\nn3 = 25.0\nn4 = 4.0\nn5 = 2.0\nt0 = n3 / n2\nt1 = (1 + n2 / 100) * n0\nt2 = (1 + t0 / 100) * n0\nanswer = t2 - t1\nprint(answer)" - ], - "Output Answer": [ - "112.5" - ], - "split": "train" - }, - { - "Input": "an error 1 % in excess is made while measuring the side of a square . what is the percentage of error in the calculated area of the square ?", - "Output Program": [ - "n0 = 1.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "2.01" - ], - "split": "train" - }, - { - "Input": "the price of a book is increased from $ 300 to $ 450 . what is the % of increase in its price ?", - "Output Program": [ - "n0 = 300.0\nn1 = 450.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a sum was put at simple interest at a certain rate for 3 years . had it been put at 2 % higher rate , it would have fetched rs . 360 more . find the sum .", - "Output Program": [ - "n0 = 3.0\nn1 = 2.0\nn2 = 360.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "6000" - ], - "split": "train" - }, - { - "Input": "on selling 17 balls at rs . 720 , there is a loss equal to the cost price of 5 balls . the cost price of a ball is", - "Output Program": [ - "n0 = 17.0\nn1 = 720.0\nn2 = 5.0\nt0 = n0 - n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "ramesh purchased a refrigerator for rs . 12500 after getting a discount of 20 % on the labelled price . he spent rs . 125 on transport and rs . 250 on installation . at what price should it be sold so that the profit earned would be 10 % if no discount was offered ?", - "Output Program": [ - "n0 = 12500.0\nn1 = 20.0\nn2 = 125.0\nn3 = 250.0\nn4 = 10.0\nt0 = n4 + 100.0\nt1 = n2 + n3\nt2 = n0 * 100.0\nt3 = 100.0 - n1\nt4 = t2 / t3\nt5 = t1 + t4\nt6 = t0 * t5\nanswer = t6 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "17600" - ], - "split": "train" - }, - { - "Input": "in an election , candidate a got 70 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favor of candidate ?", - "Output Program": [ - "n0 = 70.0\nn1 = 15.0\nn2 = 560000.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = 1.0 - t1\nt3 = n2 * t2\nanswer = t0 * t3\nprint(answer)" - ], - "Output Answer": [ - "333200" - ], - "split": "train" - }, - { - "Input": "a certain sky blue paint contains 10 percent blue pigment and 90 percent red pigment by weight . a certain green paint contains 70 percent blue pigment and 30 percent yellow pigment . when these paints are mixed to produce a brown paint , the brown paint contains 40 percent blue pigment . if the brown paint weighs 10 grams , then the red pigment contributes how many grams of that weight ?", - "Output Program": [ - "n0 = 10.0\nn1 = 90.0\nn2 = 70.0\nn3 = 30.0\nn4 = 40.0\nn5 = 10.0\nt0 = 100.0 * 2.0\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "4.5" - ], - "split": "train" - }, - { - "Input": "a man ' s speed with the current is 15 km / hr and the speed of the current is 2.8 km / hr . the man ' s speed against the current is ?", - "Output Program": [ - "n0 = 15.0\nn1 = 2.8\nt0 = n0 - n1\nanswer = t0 - n1\nprint(answer)" - ], - "Output Answer": [ - "9.399999999999999" - ], - "split": "train" - }, - { - "Input": "the effective annual rate of interest corresponding to a nominal rate of 6 % per annum payable half yearly is", - "Output Program": [ - "n0 = 6.0\nt0 = n0 / 2.0\nt1 = t0 + t0\nt2 = t0 * t0\nt3 = t2 / 100.0\nanswer = t1 + t3\nprint(answer)" - ], - "Output Answer": [ - "6.09" - ], - "split": "train" - }, - { - "Input": "on a certain day , tim invested $ 500 at 10 percent annual interest , compounded annually , and lana invested 1,000 at 5 percent annual interest , compounded annually . the total amount of interest earned by tim \u2019 s investment in the first 2 years was how much greater than the total amount of interest earned by lana \u2019 s investment in the first 2 years ?", - "Output Program": [ - "n0 = 500.0\nn1 = 10.0\nn2 = 1000.0\nn3 = 5.0\nn4 = 2.0\nn5 = 2.0\nt0 = n1 / 100.0\nt1 = n3 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2**min(n4, 5)\nt5 = t3**min(n4, 5)\nt6 = n0 * t4\nt7 = n2 * t5\nt8 = t6 - n0\nt9 = t7 - n2\nanswer = t8 - t9\nprint(answer)" - ], - "Output Answer": [ - "2.5000000000001137" - ], - "split": "train" - }, - { - "Input": "a candidate got 33 % of the votes polled and he lost to his rival by 833 votes . how many votes were cast ?", - "Output Program": [ - "n0 = 33.0\nn1 = 833.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "2450.0000000000005" - ], - "split": "train" - }, - { - "Input": "if 15 % of 40 is greater than 25 % of a number by 2 , then find the number is ?", - "Output Program": [ - "n0 = 15.0\nn1 = 40.0\nn2 = 25.0\nn3 = 2.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 * t0\nt3 = t2 - n3\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "what is the rate percent when the simple interest on rs . 800 amount to rs . 144 in 4 years ?", - "Output Program": [ - "n0 = 800.0\nn1 = 144.0\nn2 = 4.0\nt0 = n1 * 100.0\nt1 = n0 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "4.5" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sells 20 % of his stock at 10 % profit ans sells the remaining at a loss of 5 % . he incurred an overall loss of rs . 200 . find the total worth of the stock ?", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nn2 = 5.0\nn3 = 200.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 / 100.0\nt3 = 100.0 - n0\nt4 = t3 / 100.0\nt5 = t1 * t2\nt6 = t0 * t4\nt7 = t6 - t5\nanswer = n3 / t7\nprint(answer)" - ], - "Output Answer": [ - "9999.999999999998" - ], - "split": "train" - }, - { - "Input": "at what price must an article costing rs . 47.50 be marked in order that after deducting 12 % from the list price . it may be sold at a profit of 25 % on the cost price ?", - "Output Program": [ - "n0 = 47.5\nn1 = 12.0\nn2 = 25.0\nt0 = n0 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 + t2\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "67.4715909090909" - ], - "split": "train" - }, - { - "Input": "if $ 5,000 is invested in an account that earns 16 % interest compounded semi - annually , then the interest earned after one year would be how much greater than if the $ 5,000 had been invested at 8 % simple yearly interest ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 16.0\nn2 = 5000.0\nn3 = 8.0\n\nanswer = n1 * 1.0\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "after giving a discount of rs . 50 the shopkeeper still gets a profit of 20 % , if the cost price is rs . 180 . find the markup % ?", - "Output Program": [ - "n0 = 50.0\nn1 = 20.0\nn2 = 180.0\nt0 = 100.0 / n1\nt1 = n2 / t0\nt2 = n2 + t1\nt3 = n0 + t2\nt4 = t3 - n2\nanswer = t4 / n2\nprint(answer)" - ], - "Output Answer": [ - "0.4777777777777778" - ], - "split": "train" - }, - { - "Input": "a leak in the bottom of a tank can empty the tank in 6 hrs . an pipe fills water atthe rate of 4 ltrs / min . when the tank is full in inlet is opened and due to the leak the tank is empties in 8 hrs . the capacity of the tank is ?", - "Output Program": [ - "n0 = 6.0\nn1 = 4.0\nn2 = 8.0\nt0 = n0 * n1\nt1 = t0 * 60.0\nanswer = n1 * t1\nprint(answer)" - ], - "Output Answer": [ - "5760" - ], - "split": "train" - }, - { - "Input": "john makes $ 60 a week from his job . he earns a raise andnow makes $ 75 a week . what is the % increase ?", - "Output Program": [ - "n0 = 60.0\nn1 = 75.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "in an election only two candidates contested . a candidate secured 70 % of the valid votes and won by a majority of 176 votes . find the total number of valid votes ?", - "Output Program": [ - "n0 = 70.0\nn1 = 176.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "440" - ], - "split": "train" - }, - { - "Input": "sarah operated her lemonade stand monday through friday over a two week period and made a total profit of 200 dollars . on hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days . each cup she sold had a total cost of 75 cents and sarah did not incur any other costs . if every day she sold exactly 32 cups and 4 of the days were hot , then what was the price of 1 cup on a hot day ?", - "Output Program": [ - "n0 = 200.0\nn1 = 25.0\nn2 = 75.0\nn3 = 32.0\nn4 = 4.0\nn5 = 1.0\nt0 = n5 + 4.0\nt1 = n1 + 100.0\nt2 = n2 / 100.0\nt3 = t1 / 100.0\nt4 = n3 * t2\nt5 = t0 * 2.0\nt6 = t4 * t5\nt7 = n4 * t3\nt8 = t5 - n4\nt9 = n0 + t6\nt10 = n3 * t8\nt11 = n3 * t7\nt12 = t10 + t11\nt13 = t9 / t12\nanswer = t13 * t3\nprint(answer)" - ], - "Output Answer": [ - "1.5625" - ], - "split": "train" - }, - { - "Input": "a candidate got 32 % of the votes polled and he lost to his rival by 1908 votes . how many votes were cast ?", - "Output Program": [ - "n0 = 32.0\nn1 = 1908.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "5300.000000000001" - ], - "split": "train" - }, - { - "Input": "rs 70000 is divided into two parts one part is given to a person with 10 % interest and another part is given to a person with 20 % interest . at the end of first year he gets profit 8000 find money given by 10 % ?", - "Output Program": [ - "n0 = 70000.0\nn1 = 10.0\nn2 = 20.0\nn3 = 8000.0\nn4 = 10.0\nt0 = n1 / 100.0\nt1 = n0 * n2\nt2 = t1 / 100.0\nt3 = t2 - n3\nanswer = t3 / t0\nprint(answer)" - ], - "Output Answer": [ - "60000" - ], - "split": "train" - }, - { - "Input": "in a certain boys camp , 20 % of the total boys are from school a and 30 % of those study science . if there are 28 boys in the camp that are from school a but do not study science then what is the total number of boys in the camp ?", - "Output Program": [ - "n0 = 20.0\nn1 = 30.0\nn2 = 28.0\nt0 = n0 / 100.0\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nt3 = t2 * t0\nanswer = n2 / t3\nprint(answer)" - ], - "Output Answer": [ - "200.00000000000003" - ], - "split": "train" - }, - { - "Input": "j is 25 % less than p and 20 % less than t . t is t % less than p . what is the value of t ?", - "Output Program": [ - "n0 = 25.0\nn1 = 20.0\nt0 = n0 * n0\nanswer = t0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "6.25" - ], - "split": "train" - }, - { - "Input": "in how many years will a sum of money doubles itself at 10 % per annum on simple interest ?", - "Output Program": [ - "n0 = 10.0\n\nanswer = 100.0 / n0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "in a certain math department , students are required to enroll in either calculus or trigonometry , each of which is offered in beginner and advanced courses . the number of students enrolled in trigonometry is 50 % greater than the number of students enrolled in calculus , and 80 % of calculus students are enrolled in the beginner course . if 4 / 5 of students are in the beginner courses , and one student is selected at random , what is the probability that a beginner trigonometry student is selected ?", - "Output Program": [ - "n0 = 50.0\nn1 = 80.0\nn2 = 4.0\nn3 = 5.0\nt0 = n2 / n3\nt1 = n0 * 2.0\nt2 = n0 + t1\nt3 = t2 + t1\nt4 = t3 * t0\nt5 = t4 - n1\nt6 = t5 / t3\nanswer = t6 * t1\nprint(answer)" - ], - "Output Answer": [ - "48" - ], - "split": "train" - }, - { - "Input": "in a certain company , a third of the workers do not have a retirement plan . 30 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 120 of the workers of that company are men , how many of the workers are women ?", - "Output Program": [ - "n0 = 30.0\nn1 = 40.0\nn2 = 120.0\nt0 = 1.0 / 3.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 * t1\nt4 = 1.0 - t0\nt5 = t2 * t4\nt6 = t0 - t3\nt7 = t5 + t6\nt8 = t4 - t5\nt9 = t3 + t8\nt10 = n2 / t7\nanswer = t9 * t10\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "a pair of articles was bought for $ 50 at a discount of 60 % . what must be the marked price of each of the article ?", - "Output Program": [ - "n0 = 50.0\nn1 = 60.0\nt0 = n0 / 2.0\nt1 = 100.0 - n1\nt2 = t0 * t1\nanswer = t2 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "the compound interest earned on a sum for the second and the third years are $ 1200 and $ 1272 respectively . what is the rate of interest ?", - "Output Program": [ - "n0 = 1200.0\nn1 = 1272.0\nt0 = n1 - n0\nt1 = t0 * 100.0\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "if an investor puts $ 600 in a savings account that earns 10 percent annual interest compounded semiannually , how much money will be in the account after one year ?", - "Output Program": [ - "n0 = 600.0\nn1 = 10.0\nt0 = n1 / 2.0\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nt3 = t2**min(2.0, 5)\nanswer = n0 * t3\nprint(answer)" - ], - "Output Answer": [ - "661.5" - ], - "split": "train" - }, - { - "Input": "dawson has to secure 30 % marks to clear his exam of class 8 th . he got 30 marks and failed by 36 marks . what is the maximum marks ?", - "Output Program": [ - "n0 = 30.0\nn1 = 8.0\nn2 = 30.0\nn3 = 36.0\nt0 = n0 + n3\nt1 = t0 * 100.0\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "220" - ], - "split": "train" - }, - { - "Input": "if c is 20 % of a and 10 % of b , what percent of a is b ?", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "a grocery store priced a gallon of milk at 25 % above the wholesale price of $ 4 . if a customer comes in with a coupon for 5 % off milk , how much does that customer pay ?", - "Output Program": [ - "n0 = 25.0\nn1 = 4.0\nn2 = 5.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = n1 * t1\nt3 = t2 / 100.0\nt4 = n2 * t3\nanswer = n2 - t4\nprint(answer)" - ], - "Output Answer": [ - "4.75" - ], - "split": "train" - }, - { - "Input": "in an exam ashley secured 332 marks . if she secured 83 % makes , find the maximum marks", - "Output Program": [ - "n0 = 332.0\nn1 = 83.0\nt0 = n1 / 100.0\nanswer = n0 / t0\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "car z travels 45 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour , but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour . how many miles does car z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour ?", - "Output Program": [ - "n0 = 45.0\nn1 = 45.0\nn2 = 20.0\nn3 = 60.0\nn4 = 10.0\nn5 = 60.0\nt0 = n2 / 100.0\nt1 = 1.0 - t0\nt2 = n0 * t1\nanswer = n4 * t2\nprint(answer)" - ], - "Output Answer": [ - "360" - ], - "split": "train" - }, - { - "Input": "15 % of 75 is the same as vx % of 450 . find x .", - "Output Program": [ - "n0 = 15.0\nn1 = 75.0\nn2 = 450.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" - ], - "Output Answer": [ - "2.5" - ], - "split": "train" - }, - { - "Input": "if 15 % of 40 is greater than 25 % of a number by 2 , the number is", - "Output Program": [ - "n0 = 15.0\nn1 = 40.0\nn2 = 25.0\nn3 = 2.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 * t0\nt3 = t2 - n3\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "a man buys a cycle for rs . 2000 and sells it at a loss of 10 % . what is the selling price of the cycle ?", - "Output Program": [ - "n0 = 2000.0\nn1 = 10.0\nt0 = 100.0 - n1\nt1 = n0 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1800" - ], - "split": "train" - }, - { - "Input": "the profit earned by selling an article for rs . 832 is equal to the loss incurred when the same article is sold for rs . 448 . what should be the sale price for making 40 % profit ?", - "Output Program": [ - "n0 = 832.0\nn1 = 448.0\nn2 = 40.0\nt0 = n2 / 100.0\nt1 = n0 - n1\nt2 = t0 + 1.0\nt3 = t1 / 2.0\nt4 = n0 - t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "896" - ], - "split": "train" - }, - { - "Input": "by investing rs . 1800 in 9 % stock , syam earns rs . 120 . find out the stock is then quoted at which rate ?", - "Output Program": [ - "n0 = 1800.0\nn1 = 9.0\nn2 = 120.0\nt0 = n0 / n2\nt1 = n1 / 100.0\nt2 = t0 * t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "135" - ], - "split": "train" - }, - { - "Input": "at a special sale , 5 tickets can be purchased for the price of 3 tickets . if 5 tickets are purchased at the sale , the amount saved will be what percent of the original price of the 5 tickets ?", - "Output Program": [ - "n0 = 5.0\nn1 = 3.0\nn2 = 5.0\nn3 = 5.0\nt0 = n0 * n0\nt1 = n0 * n1\nt2 = t0 - t1\nt3 = t2 * 100.0\nanswer = t3 / t0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "at what price must an article costing rs . 47.50 be marked in order that after deducting 6 % from the list price . it may be sold at a profit of 25 % on the cost price ?", - "Output Program": [ - "n0 = 47.5\nn1 = 6.0\nn2 = 25.0\nt0 = n0 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 + t2\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "63.16489361702128" - ], - "split": "train" - }, - { - "Input": "the compound and the simple interests on a certain sum at the same rate of interest for two years are rs . 11730 and rs . 10200 respectively . find the sum .", - "Output Program": [ - "n0 = 11730.0\nn1 = 10200.0\nt0 = n1 / 2.0\nt1 = n1 * 100.0\nt2 = n0 - n1\nt3 = t2 * 100.0\nt4 = t3 / t0\nt5 = t4 * 2.0\nanswer = t1 / t5\nprint(answer)" - ], - "Output Answer": [ - "17000" - ], - "split": "train" - }, - { - "Input": "in a restaurant , the profit is 130 % of the cost . if the cost increases by 12 % but the selling price remains constant , approximately what percentage of the selling price is the profit ?", - "Output Program": [ - "n0 = 130.0\nn1 = 12.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t1 + 1.0\nt3 = t0 * 100.0\nt4 = t3 + 100.0\nt5 = t2 * 100.0\nt6 = t4 - t5\nt7 = t6 / t4\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "51.304347826086946" - ], - "split": "train" - }, - { - "Input": "a trader bought a car at 20 % discount on its original price . he sold it at a 55 % increase on the price he bought it . what percent of profit did he make on the original price ?", - "Output Program": [ - "n0 = 20.0\nn1 = 55.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 / 100.0\nt4 = t3 / 100.0\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "24" - ], - "split": "train" - }, - { - "Input": "machine a and machine b are each used to manufacture 660 sprockets . it takes machine a 10 hours longer to produce 660 sprockets than machine b . machine b produces 10 percent more sprockets per hour than machine a . how many sprockets per hour does machine a produces ?", - "Output Program": [ - "n0 = 660.0\nn1 = 10.0\nn2 = 660.0\nn3 = 10.0\nt0 = n1 + 100.0\nt1 = n0 * n1\nt2 = t0 / 100.0\nt3 = t2 * t1\nt4 = n0 * t2\nt5 = t4 - n0\nt6 = t3 / t5\nanswer = n0 / t6\nprint(answer)" - ], - "Output Answer": [ - "6.000000000000009" - ], - "split": "train" - }, - { - "Input": "there were two candidates in an election . winner candidate received 52 % of votes and won the election by 288 votes . find the number of votes casted to the winning candidate ?", - "Output Program": [ - "n0 = 52.0\nn1 = 288.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nt3 = n1 / t2\nt4 = n0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "3744" - ], - "split": "train" - }, - { - "Input": "the salary of a worker is first increased by 30 % and afterwards reduced by 30 % . what is net change in his salary ?", - "Output Program": [ - "n0 = 30.0\nn1 = 30.0\nt0 = n0 + 100.0\nt1 = n0 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "9" - ], - "split": "train" - }, - { - "Input": "a , b and c invested rs . 6300 , rs . 4200 and rs . 10500 respectively , in a partnership business . find the share of a in profit of rs . 12300 after a year ?", - "Output Program": [ - "n0 = 6300.0\nn1 = 4200.0\nn2 = 10500.0\nn3 = 12300.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n0 / t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "3690" - ], - "split": "train" - }, - { - "Input": "when the price of a radio was reduced by 20 % , its sale increased by 80 % . what was the net effect on the sale ?", - "Output Program": [ - "n0 = 20.0\nn1 = 80.0\nt0 = n0 + n0\nt1 = n0 * n0\nt2 = t1 / 100.0\nanswer = t0 + t2\nprint(answer)" - ], - "Output Answer": [ - "44" - ], - "split": "train" - }, - { - "Input": "ravi purchased a refrigerator and a mobile phone for rs . 15000 and rs . 8000 respectively . he sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent . overall he make a . ?", - "Output Program": [ - "n0 = 15000.0\nn1 = 8000.0\nn2 = 4.0\nn3 = 10.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = t2 + 1.0\nt4 = 1.0 - t1\nt5 = n0 * t4\nt6 = n1 * t3\nt7 = t5 + t6\nanswer = t7 - t0\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "alfred buys an old scooter for $ 4700 and spends $ 800 on its repairs . if he sells the scooter for $ 6000 , his gain percent is ?", - "Output Program": [ - "n0 = 4700.0\nn1 = 800.0\nn2 = 6000.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "9.090909090909092" - ], - "split": "train" - }, - { - "Input": "there is 60 % increase in an amount in 6 years at si . what will be the ci of rs . 13,000 after 3 years at the same rate ?", - "Output Program": [ - "n0 = 60.0\nn1 = 6.0\nn2 = 13000.0\nn3 = 3.0\nt0 = n0 / n1\nt1 = 100.0 * 100.0\nt2 = t0 / 100.0\nt3 = t0 * 100.0\nt4 = t2 + 1.0\nt5 = t3 * 3.0\nt6 = t1 + t5\nt7 = t4 * t4\nt8 = t4 * t7\nt9 = t6 * t8\nanswer = t9 - t6\nprint(answer)" - ], - "Output Answer": [ - "4303.000000000004" - ], - "split": "train" - }, - { - "Input": "ramu bought an old car for rs . 34000 . he spent rs . 12000 on repairs and sold it for rs . 65000 . what is his profit percent ?", - "Output Program": [ - "n0 = 34000.0\nn1 = 12000.0\nn2 = 65000.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "41.30434782608695" - ], - "split": "train" - }, - { - "Input": "the compound interest earned by sunil on a certain amount at the end of two years at the rate of 5 % p . a . was rs . 246 . find the total amount that sunil got back at the end of two years in the form of principal plus interest earned .", - "Output Program": [ - "n0 = 5.0\nn1 = 246.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nt3 = t2 - 1.0\nt4 = n1 / t3\nanswer = n1 + t4\nprint(answer)" - ], - "Output Answer": [ - "2645.999999999999" - ], - "split": "train" - }, - { - "Input": "in a certain village , 200 litres of water are required per household per month . at this rate , if there are 10 households in the village , how long ( in months ) will 2000 litres of water last ?", - "Output Program": [ - "n0 = 200.0\nn1 = 10.0\nn2 = 2000.0\nt0 = n0 * n1\nanswer = n2 / t0\nprint(answer)" - ], - "Output Answer": [ - "1" - ], - "split": "train" - }, - { - "Input": "in a factory , there are 80 % technicians and 20 % non - technicians . if the 80 % of the technicians and 20 % of non - technicians are permanent employees , then the percentage of workers who are temporary is ?", - "Output Program": [ - "n0 = 80.0\nn1 = 20.0\nn2 = 80.0\nn3 = 20.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = n0 * t0\nt3 = n1 * t1\nt4 = t2 + t3\nanswer = 100.0 - t4\nprint(answer)" - ], - "Output Answer": [ - "68" - ], - "split": "train" - }, - { - "Input": "what percentage of numbers from 1 to 70 have 1 or 9 in the unit ' s digit ?", - "Output Program": [ - "n0 = 1.0\nn1 = 70.0\nn2 = 1.0\nn3 = 9.0\nt0 = n1 / 10.0\nt1 = t0 * 2.0\nt2 = t1 / n1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "12 is what % of 80 ?", - "Output Program": [ - "n0 = 12.0\nn1 = 80.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "a man two flats for $ 675958 each . on one he gains 11 % while on the other he loses 11 % . how much does he gain or lose in the whole transaction ?", - "Output Program": [ - "n0 = 675958.0\nn1 = 11.0\nn2 = 11.0\nt0 = n1 + 100.0\nt1 = n0 + n0\nt2 = 100.0 - n1\nt3 = 100.0 / t0\nt4 = 100.0 / t2\nt5 = n0 * t3\nt6 = n0 * t4\nt7 = t5 + t6\nt8 = t7 - t1\nt9 = t8 / t7\nanswer = t9 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "1.210000000000002" - ], - "split": "train" - }, - { - "Input": "a feed store sells two varieties of birdseed : brand a , which is 60 % millet and 40 % sunflower , and brand b , which is 65 % millet and 35 % safflower . if a customer purchases a mix of the two types of birdseed that is 50 % millet , what percent of the mix is brand a ?", - "Output Program": [ - "n0 = 60.0\nn1 = 40.0\nn2 = 65.0\nn3 = 35.0\nn4 = 50.0\nt0 = 2.0 + 3.0\nt1 = 3.0 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "an error 12 % in excess is made while measuring the side of a square . now what is the percentage of error in the calculated area of the square ?", - "Output Program": [ - "n0 = 12.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "25.44" - ], - "split": "train" - }, - { - "Input": "800 is increased by 110 % . find the final number .", - "Output Program": [ - "n0 = 800.0\nn1 = 110.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1680" - ], - "split": "train" - }, - { - "Input": "company kw is being sold , and both company a and company b were considering the purchase . the price of company kw is 40 % more than company a has in assets , and this same price is also 100 % more than company b has in assets . if companies a and b were to merge and combine their assets , the price of company kw would be approximately what percent of these combined assets ?", - "Output Program": [ - "n0 = 40.0\nn1 = 100.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nt2 = n1 + t1\nt3 = t0 / t2\nanswer = t3 * n1\nprint(answer)" - ], - "Output Answer": [ - "82.35294117647058" - ], - "split": "train" - }, - { - "Input": "if an investor puts $ 1000 in a savings account that earns 10 percent annual interest compounded semiannually , how much money will be in the account after one year ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 10.0\nt0 = n1 / 2.0\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nt3 = t2**min(2.0, 5)\nanswer = n0 * t3\nprint(answer)" - ], - "Output Answer": [ - "1102.5" - ], - "split": "train" - }, - { - "Input": "if 60 % of a number is greater than 30 % of 10 by 27 , what is the number ?", - "Output Program": [ - "n0 = 60.0\nn1 = 30.0\nn2 = 10.0\nn3 = 27.0\nt0 = n2 / 100.0\nt1 = n1 * t0\nt2 = n3 + t1\nt3 = t2 / n0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a man ' s speed with the current is 21 km / hr and the speed of the current is 2.5 km / hr . the man ' s speed against the current is ?", - "Output Program": [ - "n0 = 21.0\nn1 = 2.5\nt0 = n0 - n1\nanswer = t0 - n1\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "the cost of one photocopy is $ 0.02 . however , a 25 % discount is offered on orders of more than 100 photocopies . if steve and danny have to make 80 copies each , how much will each of them save if they submit a single order of 160 copies ?", - "Output Program": [ - "n0 = 0.02\nn1 = 25.0\nn2 = 100.0\nn3 = 80.0\nn4 = 160.0\nt0 = n0 * n3\nt1 = n2 - n1\nt2 = t1 / n2\nt3 = t0 * 2.0\nt4 = n4 * t2\nt5 = n0 * t4\nt6 = t3 - t5\nanswer = t6 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "0.40000000000000013" - ], - "split": "train" - }, - { - "Input": "28 % of employees are women with fair hair . 40 % of fair - haired employees are women . what percent of employees have fair hair ?", - "Output Program": [ - "n0 = 28.0\nn1 = 40.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "70" - ], - "split": "train" - }, - { - "Input": "from january 1 , 1991 , to january 1 , 1993 , the number of people enrolled in health maintenance organizations increased by 15 percent . the enrollment on january 1 , 1993 , was 45 million . how many million people , to the nearest million , were enrolled in health maintenance organizations on january 1 , 1991 ?", - "Output Program": [ - "n0 = 1.0\nn1 = 1991.0\nn2 = 1.0\nn3 = 1993.0\nn4 = 15.0\nn5 = 1.0\nn6 = 1993.0\nn7 = 45.0\nn8 = 1.0\nn9 = 1991.0\nt0 = n4 + 100.0\nt1 = 100.0 / t0\nanswer = n7 * t1\nprint(answer)" - ], - "Output Answer": [ - "39.130434782608695" - ], - "split": "train" - }, - { - "Input": "john makes $ 60 a week from his job . he earns a raise andnow makes $ 68 a week . what is the % increase ?", - "Output Program": [ - "n0 = 60.0\nn1 = 68.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "13.333333333333334" - ], - "split": "train" - }, - { - "Input": "a man can row 36 kmph in still water . it takes him thrice as long to row up as to row down the river . find the rate of the stream ?", - "Output Program": [ - "n0 = 36.0\nt0 = 1.0 + 3.0\nt1 = n0 * 2.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "18" - ], - "split": "train" - }, - { - "Input": "if a lends rs . 2000 to b at 10 % per annum and b lends the same sum to c at 11.5 % per annum then the gain of b in a period of 3 years is ?", - "Output Program": [ - "n0 = 2000.0\nn1 = 10.0\nn2 = 11.5\nn3 = 3.0\nt0 = n0 * n2\nt1 = n0 * n1\nt2 = t0 * n3\nt3 = n3 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nanswer = t4 - t5\nprint(answer)" - ], - "Output Answer": [ - "90" - ], - "split": "train" - }, - { - "Input": "increasing the original price of a certain item by 15 percent and then increasing the new price by 15 percent is equivalent to increasing the original price by what percent ?", - "Output Program": [ - "n0 = 15.0\nn1 = 15.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "32.24999999999998" - ], - "split": "train" - }, - { - "Input": "a trader marked the selling price of an article at 10 % above the cost price . at the time of selling , he allows certain discount and suffers a loss of 1 % . he allowed a discount of :", - "Output Program": [ - "n0 = 10.0\nn1 = 1.0\nt0 = 2.0 + 3.0\nt1 = n0 + 100.0\nt2 = t0 * 2.0\nt3 = t2 + n1\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "in an election only two candidates contested . a candidate secured 70 % of the valid votes and won by a majority of 188 votes . find the total number of valid votes ?", - "Output Program": [ - "n0 = 70.0\nn1 = 188.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "470" - ], - "split": "train" - }, - { - "Input": "the length of a rectangular floor is more than its breadth by 200 % . if rs . 100 is required to paint the floor at the rate of rs . 2 per sq m , then what would be the length of the floor ?", - "Output Program": [ - "import math\nn0 = 200.0\nn1 = 100.0\nn2 = 2.0\nt0 = n1 / n2\nt1 = t0 / 3.0\nt2 = math.sqrt(max(0, t1))\nanswer = t2 * 3.0\nprint(answer)" - ], - "Output Answer": [ - "12.24744871391589" - ], - "split": "train" - }, - { - "Input": "a bowl was filled with 10 ounces of water , and 0.014 ounce of the water evaporated each day during a 50 - day period . what percent of the original amount of water evaporated during this period ?", - "Output Program": [ - "n0 = 10.0\nn1 = 0.014\nn2 = 50.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "7.000000000000001" - ], - "split": "train" - }, - { - "Input": "a man buys an article for $ 20 . and sells it for $ 25 . find the gain percent ?", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nt0 = n0 / 100.0\nt1 = n1 / t0\nanswer = t1 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "add 20 % of 40 and 25 % of 60 .", - "Output Program": [ - "n0 = 20.0\nn1 = 40.0\nn2 = 25.0\nn3 = 60.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nanswer = t2 + t3\nprint(answer)" - ], - "Output Answer": [ - "23" - ], - "split": "train" - }, - { - "Input": "mahesh marks an article 15 % above the cost price of rs . 540 . what must be his discount percentage if he sells it at rs . 462 ?", - "Output Program": [ - "n0 = 15.0\nn1 = 540.0\nn2 = 462.0\nt0 = n0 + 100.0\nt1 = t0 / 100.0\nt2 = n1 * t1\nt3 = t2 - n2\nt4 = t3 * 100.0\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "25.603864734299517" - ], - "split": "train" - }, - { - "Input": "the cost price of an book is 64 % of the marked price . calculate the gain percent after allowing a discount of 16 % ?", - "Output Program": [ - "n0 = 64.0\nn1 = 16.0\nt0 = 100.0 / n0\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nt3 = t0 * t2\nt4 = t3 - 1.0\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "31.25" - ], - "split": "train" - }, - { - "Input": "what profit percent is made by selling an article at a certain price , if by selling at 2 / 3 rd of that price , there would be a loss of 14 % ?", - "Output Program": [ - "n0 = 2.0\nn1 = 3.0\nn2 = 14.0\nt0 = n0 / n1\nt1 = 100.0 - n2\nt2 = t1 / t0\nanswer = t2 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "29" - ], - "split": "train" - }, - { - "Input": "a local business made a $ 125000 profit on its first $ 1 million in sales and a $ 80000 profit on its next $ 2 million in sales . by approximately what percent did the ratio of profit to sales decrease from the first $ 1 million in sales to the next $ 2 million in sales ?", - "Output Program": [ - "n0 = 125000.0\nn1 = 1.0\nn2 = 80000.0\nn3 = 2.0\nn4 = 1.0\nn5 = 2.0\nt0 = n0 / 100.0\nt1 = 10.0 * 4.0\nt2 = t1 + 10.0\nt3 = t0 - 1000.0\nanswer = t3 - t2\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "\u221a 5 percent of 5 \u221a 5 =", - "Output Program": [ - "import math\nn0 = 5.0\nn1 = 5.0\nn2 = 5.0\nt0 = math.sqrt(max(0, n0))\nt1 = t0 * t0\nt2 = n0 * t1\nanswer = t2 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "0.25000000000000006" - ], - "split": "train" - }, - { - "Input": "an agent , gets a commission of 5 % on the sales of cloth . if on a certain day , he gets rs . 12.50 as commission , the cloth sold through him on that day is worth", - "Output Program": [ - "n0 = 5.0\nn1 = 12.5\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "250" - ], - "split": "train" - }, - { - "Input": "one fourth of a solution that was 22 % sugar by weight was replaced by a second solution resulting in a solution that was 35 percent sugar by weight . the second solution was what percent sugar by weight ?", - "Output Program": [ - "n0 = 22.0\nn1 = 35.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 / 4.0\nt3 = t0 * 100.0\nt4 = t2 * 100.0\nt5 = 100.0 - t4\nt6 = t1 * t5\nt7 = t3 - t6\nt8 = t7 / t4\nanswer = t8 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "74" - ], - "split": "train" - }, - { - "Input": "find the amount on rs . 5000 in 2 years , the rate of interest being 4 % per first year and 5 % for the second year ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 2.0\nn2 = 4.0\nn3 = 5.0\nt0 = n3 + 100.0\nt1 = n2 + 100.0\nt2 = n0 * t1\nt3 = t2 / 100.0\nt4 = t0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "5460" - ], - "split": "train" - }, - { - "Input": "if c is 30 % of a and 25 % of b , what percent of a is b ?", - "Output Program": [ - "n0 = 30.0\nn1 = 25.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "a book is bought for $ 32 and sold for $ 56 . what is the profit in percentage ?", - "Output Program": [ - "n0 = 32.0\nn1 = 56.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "train" - }, - { - "Input": "a merchant purchased a jacket for $ 56 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 30 percent of the selling price . during a sale , the merchant discounted the selling price by 20 percent and sold the jacket . what was the merchant \u2019 s gross profit on this sale ?", - "Output Program": [ - "n0 = 56.0\nn1 = 30.0\nn2 = 20.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = n0 / t2\nt5 = t4 * t3\nanswer = t5 - n0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "if leo gains 10 pounds , he will weigh 50 % more than his sister kendra . currently their combined weight is 180 pounds . what is leo ' s current weight ?", - "Output Program": [ - "n0 = 10.0\nn1 = 50.0\nn2 = 180.0\nt0 = n1 + 100.0\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nt3 = n2 * t1\nt4 = t3 - n0\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "104" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold 15 articles at the cost price of 20 articles . then find the profit % or lost %", - "Output Program": [ - "n0 = 15.0\nn1 = 20.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "train" - }, - { - "Input": "by selling a book for 300 , 20 % profit was earned . what is the cost price of the book ?", - "Output Program": [ - "n0 = 300.0\nn1 = 20.0\n\nanswer = n0 * 100 / (100 + n1) # original_price_before gain\nprint(answer)" - ], - "Output Answer": [ - "250" - ], - "split": "train" - }, - { - "Input": "raman ' s salary was decreased by 50 % and subsequently increased by 50 % . how much percent does he loss .", - "Output Program": [ - "n0 = 50.0\nn1 = 50.0\nt0 = n0 + 100.0\nt1 = 100.0 * 100.0\nt2 = 100.0 - n0\nt3 = t0 * t2\nt4 = t1 - t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "ramu bought an old car for rs . 42000 . he spent rs . 13000 on repairs and sold it for rs . 64500 . what is his profit percent ?", - "Output Program": [ - "n0 = 42000.0\nn1 = 13000.0\nn2 = 64500.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "17.272727272727273" - ], - "split": "train" - }, - { - "Input": "if the cost price of 20 articles is equal to the selling price of 15 articles , what is the % profit or loss made by the merchant ?", - "Output Program": [ - "n0 = 20.0\nn1 = 15.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = 100.0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "train" - }, - { - "Input": "in a factory , there are 50 % technicians and 50 % non - technicians . if the 50 % of the technicians and 50 % of non - technicians are permanent employees , then the percentage of workers who are temporary is ?", - "Output Program": [ - "n0 = 50.0\nn1 = 50.0\nn2 = 50.0\nn3 = 50.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = n0 * t0\nt3 = n1 * t1\nt4 = t2 + t3\nanswer = 100.0 - t4\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "if the cost price of 60 articles is equal to the selling price of 50 articles , then what is the percent profit ?", - "Output Program": [ - "n0 = 60.0\nn1 = 50.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = 100.0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20.000000000000007" - ], - "split": "train" - }, - { - "Input": "the profit earned by selling an article for 892 is equal to the loss incurred when the same article is sold for 448 . what should be the sale price of the article for making 50 per cent profit ?", - "Output Program": [ - "n0 = 892.0\nn1 = 448.0\nn2 = 50.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = t1 + 1.0\nt3 = t0 / 2.0\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "1005" - ], - "split": "train" - }, - { - "Input": "a certain sum is invested at simple interest at 15 % p . a . for two years instead of investing at 12 % p . a . for the same time period . therefore the interest received is more by rs . 720 . find the sum ?", - "Output Program": [ - "n0 = 15.0\nn1 = 12.0\nn2 = 720.0\nt0 = n0 - n1\nt1 = t0 * 2.0\nt2 = t1 / 100.0\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "12000" - ], - "split": "train" - }, - { - "Input": "harkamal purchased 9 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 9.0\nn1 = 70.0\nn2 = 9.0\nn3 = 55.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1125" - ], - "split": "train" - }, - { - "Input": "a sum of rs . 2717 is lent into two parts so that the interest on the first part for 8 years at 3 % per annum may be equal to the interest on the second part for 3 years at 5 % per annum . find the second sum ?", - "Output Program": [ - "n0 = 2717.0\nn1 = 8.0\nn2 = 3.0\nn3 = 3.0\nn4 = 5.0\nt0 = n2 * n4\nt1 = n1 * n2\nt2 = t0 + t1\nt3 = n0 * t0\nt4 = t3 / t2\nanswer = n0 - t4\nprint(answer)" - ], - "Output Answer": [ - "1672" - ], - "split": "train" - }, - { - "Input": "in a sample of 800 high school students in which all students are either freshmen , sophomores , juniors , or seniors , 28 percent are juniors and 75 percent are not sophomores . if there are 160 seniors , how many more freshmen than sophomores are there among the sample of students ?", - "Output Program": [ - "n0 = 800.0\nn1 = 28.0\nn2 = 75.0\nn3 = 160.0\nt0 = n3 / n0\nt1 = 100.0 - n2\nt2 = t0 * 100.0\nt3 = n0 * t1\nt4 = t3 / 100.0\nt5 = 100.0 - t2\nt6 = t5 - n1\nt7 = t6 - t1\nt8 = n0 * t7\nt9 = t8 / 100.0\nanswer = t9 - t4\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "a person borrows rs . 9000 for 2 years at 4 % p . a . simple interest . he immediately lends it to another person at 6 p . a for 2 years . find his gain in the transaction per year .", - "Output Program": [ - "n0 = 9000.0\nn1 = 2.0\nn2 = 4.0\nn3 = 6.0\nn4 = 2.0\nt0 = n0 * n3\nt1 = n0 * n2\nt2 = n1 * t0\nt3 = n1 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nt6 = t4 - t5\nanswer = t6 / n1\nprint(answer)" - ], - "Output Answer": [ - "180" - ], - "split": "train" - }, - { - "Input": "a soccer team played 140 games and won 50 percent of them . how many games did it win ?", - "Output Program": [ - "n0 = 140.0\nn1 = 50.0\nt0 = n0 * n1\nanswer = t0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "70" - ], - "split": "train" - }, - { - "Input": "on a certain day , tim invested $ 600 at 10 percent annual interest , compounded annually , and lana invested 1,000 at 5 percent annual interest , compounded annually . the total amount of interest earned by tim \u2019 s investment in the first 2 years was how much greater than the total amount of interest earned by lana \u2019 s investment in the first 2 years ?", - "Output Program": [ - "n0 = 600.0\nn1 = 10.0\nn2 = 1000.0\nn3 = 5.0\nn4 = 2.0\nn5 = 2.0\nt0 = n1 / 100.0\nt1 = n3 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2**min(n4, 5)\nt5 = t3**min(n4, 5)\nt6 = n0 * t4\nt7 = n2 * t5\nt8 = t6 - n0\nt9 = t7 - n2\nanswer = t8 - t9\nprint(answer)" - ], - "Output Answer": [ - "23.500000000000114" - ], - "split": "train" - }, - { - "Input": "a $ 500 investment and a $ 1,500 investment have a combined yearly return of 8.5 percent of the total of the two investments . if the $ 500 investment has a yearly return of 7 percent , what percent yearly return does the $ 1,500 investment have ?", - "Output Program": [ - "n0 = 500.0\nn1 = 1500.0\nn2 = 8.5\nn3 = 500.0\nn4 = 7.0\nn5 = 1500.0\nt0 = n2 / 100.0\nt1 = n4 / 100.0\nt2 = n0 * 3.0\nt3 = n0 + t2\nt4 = n0 * t1\nt5 = t3 * t0\nt6 = t5 - t4\nt7 = t6 / t2\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "9" - ], - "split": "train" - }, - { - "Input": "a trader bought a car at 30 % discount on its original price . he sold it at a 70 % increase on the price he bought it . what percent of profit did he make on the original price ?", - "Output Program": [ - "n0 = 30.0\nn1 = 70.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 / 100.0\nt4 = t3 / 100.0\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "18.999999999999993" - ], - "split": "train" - }, - { - "Input": "a man invested rs . 14,400 in rs . 100 shares of a company at 20 % premium . if the company declares 6 % dividend at the end of the year , then how much does he get ?", - "Output Program": [ - "n0 = 14400.0\nn1 = 100.0\nn2 = 20.0\nn3 = 6.0\nt0 = n3 / n1\nt1 = n2 / n1\nt2 = 10.0 * 1000.0\nt3 = 1000.0 * 4.0\nt4 = n1 * 4.0\nt5 = t2 + t3\nt6 = n1 * t1\nt7 = t5 + t4\nt8 = n1 + t6\nt9 = t7 / t8\nt10 = n1 * t9\nanswer = t0 * t10\nprint(answer)" - ], - "Output Answer": [ - "720" - ], - "split": "train" - }, - { - "Input": "two friends plan to walk along a 43 - km trail , starting at opposite ends of the trail at the same time . if friend p ' s rate is 15 % faster than friend q ' s , how many kilometers will friend p have walked when they pass each other ?", - "Output Program": [ - "n0 = 43.0\nn1 = 15.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t1 + 1.0\nt3 = n0 / t2\nanswer = t1 * t3\nprint(answer)" - ], - "Output Answer": [ - "23" - ], - "split": "train" - }, - { - "Input": "in a certain boys camp , 20 % of the total boys are from school a and 30 % of those study science . if there are 63 boys in the camp that are from school a but do not study science then what is the total number of boys in the camp ?", - "Output Program": [ - "n0 = 20.0\nn1 = 30.0\nn2 = 63.0\nt0 = n0 / 100.0\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nt3 = t2 * t0\nanswer = n2 / t3\nprint(answer)" - ], - "Output Answer": [ - "450.00000000000006" - ], - "split": "train" - }, - { - "Input": "money invested at x % , compounded annually , triples in value in approximately every 112 / x years . if $ 3500 is invested at a rate of 8 % , compounded annually , what will be its approximate worth in 28 years ?", - "Output Program": [ - "n0 = 112.0\nn1 = 3500.0\nn2 = 8.0\nn3 = 28.0\nt0 = n0 / n2\nt1 = n3 / t0\nt2 = 3.0**min(t1, 5)\nanswer = n1 * t2\nprint(answer)" - ], - "Output Answer": [ - "31500" - ], - "split": "train" - }, - { - "Input": "a soccer team played 158 games and won 40 percent of them . how many games did it win ?", - "Output Program": [ - "n0 = 158.0\nn1 = 40.0\nt0 = n0 * n1\nanswer = t0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "63.2" - ], - "split": "train" - }, - { - "Input": "15 litres of mixture contains 20 % alcohol and the rest water . if 3 litres of water be mixed with it , the percentage of alcohol in the new mixture would be ?", - "Output Program": [ - "n0 = 15.0\nn1 = 20.0\nn2 = 3.0\nt0 = n0 + n2\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nt3 = n0 * t2\nt4 = n2 + t3\nt5 = t0 - t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "16.666666666666664" - ], - "split": "train" - }, - { - "Input": "total number of people attending a party is 600 . 70 % of the men are wearing black shirt and rest are wearing red . if 60 % of the total people are women then how many men are wearing red shirts ?", - "Output Program": [ - "n0 = 600.0\nn1 = 70.0\nn2 = 60.0\nt0 = 100.0 - n1\nt1 = 100.0 - n2\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = n0 * t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "72" - ], - "split": "train" - }, - { - "Input": "a sum of 12,500 amounts to 15,500 in 4 years at the rate of simple interest . what is the rate of interest ?", - "Output Program": [ - "n0 = 12500.0\nn1 = 15500.0\nn2 = 4.0\nt0 = 0.25 + 0.25\nt1 = 3.0 / n2\nt2 = 3.0 * 4.0\nt3 = t0 + t2\nt4 = t1 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "a side of beef lost 35 percent of its weight in processing . if the side of beef weighed 580 pounds after processing , how many pounds did it weigh before processing ?", - "Output Program": [ - "n0 = 35.0\nn1 = 580.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "892.3076923076923" - ], - "split": "train" - }, - { - "Input": "after successive discounts of 20 % , 10 % and 5 % a certain good is sold for rs . 6800 . find the actual price of the good .", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nn2 = 5.0\nn3 = 6800.0\nt0 = n3 * 100.0\nt1 = 100.0 - n0\nt2 = n1 * t1\nt3 = t2 / 100.0\nt4 = t1 - t3\nt5 = n2 * t4\nt6 = t5 / 100.0\nt7 = t4 - t6\nanswer = t0 / t7\nprint(answer)" - ], - "Output Answer": [ - "9941.520467836257" - ], - "split": "train" - }, - { - "Input": "a student gets 60 % in one subject , 70 % in the other . to get an overall of 70 % how much should get in third subject .", - "Output Program": [ - "n0 = 60.0\nn1 = 70.0\nn2 = 70.0\nt0 = n0 + n1\nt1 = n2 * 3.0\nanswer = t1 - t0\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "a sum was put at simple interest at a certain rate for 6 years had it been put at 4 % higher rate , it would have fetched 144 more . find the sum .", - "Output Program": [ - "n0 = 6.0\nn1 = 4.0\nn2 = 144.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "by selling 16 pencils for a rupee a man loses 28 % . how many for a rupee should he sell in order to gain 28 % ?", - "Output Program": [ - "n0 = 16.0\nn1 = 28.0\nn2 = 28.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = 1.0 / t1\nt3 = t0 * t2\nt4 = 1.0 / t3\nanswer = n0 * t4\nprint(answer)" - ], - "Output Answer": [ - "9" - ], - "split": "train" - }, - { - "Input": "a sum of rs . 12,500 amounts to rs . 15,500 in 4 years at the rate of simple interest . what is the rate of interest ?", - "Output Program": [ - "n0 = 12500.0\nn1 = 15500.0\nn2 = 4.0\nt0 = 2.0 + 3.0\nt1 = 3.0 * 4.0\nt2 = t0 * 3.0\nt3 = t0 * 2.0\nt4 = t0 * 100.0\nt5 = t3 * 100.0\nt6 = t2 * t5\nt7 = t1 * t5\nt8 = t6 + t4\nt9 = t7 + t4\nt10 = t8 - t9\nt11 = t10 / t9\nt12 = t11 / n2\nanswer = t12 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "ravi purchased a refrigerator and a mobile phone for rs . 15000 and rs . 8000 respectively . he sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent . overall he make a .", - "Output Program": [ - "n0 = 15000.0\nn1 = 8000.0\nn2 = 4.0\nn3 = 10.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = t2 + 1.0\nt4 = 1.0 - t1\nt5 = n0 * t4\nt6 = n1 * t3\nt7 = t5 + t6\nanswer = t7 - t0\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "22 percent of 300", - "Output Program": [ - "n0 = 22.0\nn1 = 300.0\nt0 = n0 * n1\nanswer = t0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "66" - ], - "split": "train" - }, - { - "Input": "the true discount on a bill of rs . 540 is rs . 90 . the banker ' s discount is :", - "Output Program": [ - "n0 = 540.0\nn1 = 90.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "108" - ], - "split": "train" - }, - { - "Input": "a man can row downstream at the rate of 18 kmph and upstream at 6 kmph . find the man \u2019 s rate in still water and rate of current ?", - "Output Program": [ - "n0 = 18.0\nn1 = 6.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "the cost price of a radio is rs . 1500 and it was sold for rs . 1290 , find the loss % ?", - "Output Program": [ - "n0 = 1500.0\nn1 = 1290.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "14.000000000000002" - ], - "split": "train" - }, - { - "Input": "in an election a candidate who gets 60 % of the votes is elected by a majority of 900 votes . what is the total number of votes polled ?", - "Output Program": [ - "n0 = 60.0\nn1 = 900.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "4500" - ], - "split": "train" - }, - { - "Input": "the list price of an article is rs . 67 . a customer pays rs . 56.16 for it . he was given two successive discounts , one of them being 10 % . the other discount is ?", - "Output Program": [ - "n0 = 67.0\nn1 = 56.16\nn2 = 10.0\nt0 = n2 / 100.0\nt1 = n0 * t0\nt2 = n0 - t1\nt3 = t2 - n1\nt4 = t3 / t2\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "6.865671641791046" - ], - "split": "train" - }, - { - "Input": "by selling a book for 290 , 20 % profit was earned . what is the cost price of the book ?", - "Output Program": [ - "n0 = 290.0\nn1 = 20.0\n\nanswer = n0 * 100 / (100 + n1) # original_price_before gain\nprint(answer)" - ], - "Output Answer": [ - "241.66666666666666" - ], - "split": "train" - }, - { - "Input": "in a certain pond , 40 fish were caught , tagged , and returned to the pond . a few days later , 40 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what ` s the approximate number of fish in the pond ?", - "Output Program": [ - "n0 = 40.0\nn1 = 40.0\nn2 = 2.0\nt0 = n2 / n1\nanswer = n0 / t0\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "train" - }, - { - "Input": "a report consists of 20 sheets each of 55 lines and each such line consist of 65 characters . this report is retyped into sheets each of 65 lines such that each line consists of 70 characters . the percentage reduction in number of sheets is closest to", - "Output Program": [ - "import math\nn0 = 20.0\nn1 = 55.0\nn2 = 65.0\nn3 = 65.0\nn4 = 70.0\nt0 = n0 * n1\nt1 = n2 * t0\nt2 = t1 / n4\nt3 = t2 / n2\nt4 = n0 - t3\nt5 = math.floor(t4)\nt6 = t5 * 100.0\nanswer = t6 / n0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "20 % of a number is more than 40 % of 140 by 80 . find the number ?", - "Output Program": [ - "n0 = 20.0\nn1 = 40.0\nn2 = 140.0\nn3 = 80.0\nt0 = n1 * n2\nt1 = t0 / 100.0\nt2 = n3 + t1\nt3 = t2 * 100.0\nanswer = t3 / n0\nprint(answer)" - ], - "Output Answer": [ - "680" - ], - "split": "train" - }, - { - "Input": "there were two candidates in an election . winner candidate received 62 % of votes and won the election by 312 votes . find the number of votes casted to the winning candidate ?", - "Output Program": [ - "n0 = 62.0\nn1 = 312.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nt3 = n1 / t2\nt4 = n0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "806" - ], - "split": "train" - }, - { - "Input": "x and y invested in a business . they earned some profit which they divided in the ratio of 2 : 6 . if x invested rs . 5,000 . the amount invested by y is", - "Output Program": [ - "n0 = 2.0\nn1 = 6.0\nn2 = 5000.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "15000" - ], - "split": "train" - }, - { - "Input": "a person buys an article at $ 1200 . at what price should he sell the article so as to make a profit of 40 % ?", - "Output Program": [ - "n0 = 1200.0\nn1 = 40.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1680" - ], - "split": "train" - }, - { - "Input": "90 students represent x percent of the boys at jones elementary school . if the boys at jones elementary make up 70 % of the total school population of x students , what is x ?", - "Output Program": [ - "import math\nn0 = 90.0\nn1 = 70.0\nt0 = n1 / 100.0\nt1 = n0 * 100.0\nt2 = t1 / t0\nanswer = math.sqrt(max(0, t2))\nprint(answer)" - ], - "Output Answer": [ - "113.38934190276818" - ], - "split": "train" - }, - { - "Input": "find the amount on rs . 9000 in 2 years , the rate of interest being 4 % per first year and 5 % for the second year ?", - "Output Program": [ - "n0 = 9000.0\nn1 = 2.0\nn2 = 4.0\nn3 = 5.0\nt0 = n3 + 100.0\nt1 = n2 + 100.0\nt2 = n0 * t1\nt3 = t2 / 100.0\nt4 = t0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "9828" - ], - "split": "train" - }, - { - "Input": "a man took a loan at rate of 12 % per annum simple interest . after 3 years he had to pay 3600 interest . the principal amount borrowed by him was .", - "Output Program": [ - "n0 = 12.0\nn1 = 3.0\nn2 = 3600.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "10000" - ], - "split": "train" - }, - { - "Input": "a jar full of whisky contains 40 % alcohol . a part of this whisky is replaced by another containg 19 % alcohol and now the percentage of alcohol was found to be 26 % . what quantity of whisky is replaced ?", - "Output Program": [ - "n0 = 40.0\nn1 = 19.0\nn2 = 26.0\nt0 = n0 - n2\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.6666666666666666" - ], - "split": "train" - }, - { - "Input": "15 litres of mixture contains 20 % alcohol and the rest water . if 5 litres of water be mixed with it , the percentage of alcohol in the new mixture would be ?", - "Output Program": [ - "n0 = 15.0\nn1 = 20.0\nn2 = 5.0\nt0 = n0 + n2\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nt3 = n0 * t2\nt4 = n2 + t3\nt5 = t0 - t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "by selling an article for $ 180 , a person gains $ 30 . what is the gain % ?", - "Output Program": [ - "n0 = 180.0\nn1 = 30.0\nt0 = n1 * 100.0\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "the salary of a worker is first increased by 10 % and afterwards reduced by 10 % . what is the net change in the worker ' s salary ?", - "Output Program": [ - "n0 = 10.0\nn1 = 10.0\nt0 = n0 + 100.0\nt1 = n0 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "1" - ], - "split": "train" - }, - { - "Input": "a gambler has won 40 % of his 30 poker games for the week so far . if , all of a sudden , his luck changes and he begins winning 80 % of the time , how many more games must he play to end up winning 60 % of all his games for the week ?", - "Output Program": [ - "n0 = 40.0\nn1 = 30.0\nn2 = 80.0\nn3 = 60.0\nt0 = n3 / 100.0\nt1 = n0 / 100.0\nt2 = n2 / 100.0\nt3 = n1 * t0\nt4 = n1 * t1\nt5 = t2 - t0\nt6 = t3 - t4\nanswer = t6 / t5\nprint(answer)" - ], - "Output Answer": [ - "29.99999999999999" - ], - "split": "train" - }, - { - "Input": "the owner of a furniture shop charges his customer 24 % more than the cost price . if a customer paid rs . 8587 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 24.0\nn1 = 8587.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "6925" - ], - "split": "train" - }, - { - "Input": "each of the integers from 0 to 8 , inclusive , is written on a separate slip of blank paper and the 10 slips are dropped into hat . if the slips are then drawn one at a time without replacement , how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10 ?", - "Output Program": [ - "n0 = 0.0\nn1 = 8.0\nn2 = 10.0\nn3 = 10.0\nt0 = n1 - 2.0\nanswer = t0 + 1.0\nprint(answer)" - ], - "Output Answer": [ - "7" - ], - "split": "train" - }, - { - "Input": "a fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans . a customer bought the pair of jeans for 30 percent more than the retailer paid for them . the price the customer paid was what percent greater than the cost of manufacturing the jeans ?", - "Output Program": [ - "n0 = 40.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t3 * 100.0\nt5 = t2 * t4\nt6 = t5 / 100.0\nt7 = t6 - 1.0\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "82" - ], - "split": "train" - }, - { - "Input": "if 4 % more is gained by selling an article for rs . 350 than by selling it for rs . 340 , the cost of the article is", - "Output Program": [ - "n0 = 4.0\nn1 = 350.0\nn2 = 340.0\nt0 = n0 / 100.0\nt1 = n1 - n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "250" - ], - "split": "train" - }, - { - "Input": "on increasing the price of t . v . sets by 50 % , their sale decreases by 20 % . what is the effect on the revenue receipts of the shop ?", - "Output Program": [ - "n0 = 50.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t2 + 100.0\nanswer = t0 - t3\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "a , b and c started a business with capitals of rs . 8000 , rs . 10000 and rs . 12000 respectively . at the end of the year , the profit share of b is rs . 1600 . the difference between the profit shares of a and c is ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 10000.0\nn2 = 12000.0\nn3 = 1600.0\nt0 = n2 / n1\nt1 = n0 / n1\nt2 = t0 - t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "639.9999999999999" - ], - "split": "train" - }, - { - "Input": "a person borrows rs . 4000 for 2 years at 4 % p . a . simple interest . he immediately lends it to another person at 6 p . a for 2 years . find his gain in the transaction per year .", - "Output Program": [ - "n0 = 4000.0\nn1 = 2.0\nn2 = 4.0\nn3 = 6.0\nn4 = 2.0\nt0 = n0 * n3\nt1 = n0 * n2\nt2 = n1 * t0\nt3 = n1 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nt6 = t4 - t5\nanswer = t6 / n1\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "in a stockpile of products produced by 3 machines m 1 , m 2 and m 3 , 40 % and 30 % were manufactured by m 1 and m 2 respectively . 3 % of the products of m 1 are defective , 1 % of products of m 2 defective , while 93 % of the products of m 3 iii are not defective . what is the percentage of defective in the stockpile ?", - "Output Program": [ - "n0 = 3.0\nn1 = 1.0\nn2 = 2.0\nn3 = 3.0\nn4 = 40.0\nn5 = 30.0\nn6 = 1.0\nn7 = 2.0\nn8 = 3.0\nn9 = 1.0\nn10 = 1.0\nn11 = 2.0\nn12 = 93.0\nn13 = 3.0\nt0 = n4 + n5\nt1 = n1 / 100.0\nt2 = n0 / 100.0\nt3 = 100.0 - n12\nt4 = t3 / 100.0\nt5 = n5 * t1\nt6 = n4 * t2\nt7 = 100.0 - t0\nt8 = t4 * t7\nt9 = t8 + t5\nanswer = t9 + t6\nprint(answer)" - ], - "Output Answer": [ - "3.5999999999999996" - ], - "split": "train" - }, - { - "Input": "a certain company reported that the revenue on sales increased 50 % from 2000 to 2003 , and increased 80 % from 2000 to 2005 . what was the approximate percent increase in revenue for this store from 2003 to 2005 ?", - "Output Program": [ - "n0 = 50.0\nn1 = 2000.0\nn2 = 2003.0\nn3 = 80.0\nn4 = 2000.0\nn5 = 2005.0\nn6 = 2003.0\nn7 = 2005.0\nt0 = n3 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 - t3\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20.000000000000004" - ], - "split": "train" - }, - { - "Input": "a merchant purchased a jacket for $ 60 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 25 percent of the selling price . during a sale , the merchant discounted the selling price by 20 percent and sold the jacket . what was the merchant \u2019 s gross profit on this sale ?", - "Output Program": [ - "n0 = 60.0\nn1 = 25.0\nn2 = 20.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = n0 / t2\nt5 = t4 * t3\nanswer = t5 - n0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "the percentage profit earned by selling an article for rs . 1720 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 25 % profit ?", - "Output Program": [ - "n0 = 1720.0\nn1 = 1280.0\nn2 = 25.0\nt0 = n2 + 100.0\nt1 = n0 + n1\nt2 = t0 / 100.0\nt3 = t1 / 2.0\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "1875" - ], - "split": "train" - }, - { - "Input": "daal is now being sold at rate rs . 20 a kg . during last month its rate was rs 16 per kg . by how reduce percent should a family its consumption so as to keep the expenditure fixed ?", - "Output Program": [ - "n0 = 20.0\nn1 = 16.0\nt0 = n0 / n1\nt1 = 1 / t0\nt2 = t1 * 100.0\nanswer = 100.0 - t2\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "a cricket bat is sold for $ 850 , making a profit of $ 225 . the profit percentage would be", - "Output Program": [ - "n0 = 850.0\nn1 = 225.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "36" - ], - "split": "train" - }, - { - "Input": "cricket match is conducted in us . the run rate of a cricket game was only 3.2 in first 10 over . what should be the run rate in the remaining 40 overs to reach the target of 252 runs ?", - "Output Program": [ - "n0 = 3.2\nn1 = 10.0\nn2 = 40.0\nn3 = 252.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "5.5" - ], - "split": "train" - }, - { - "Input": "the credit card and a global payment processing companies have been suffering losses for some time now . a well known company recently announced its quarterly results . according to the results , the revenue fell to $ 48.0 billion from $ 69.0 billion , a year ago . by what percent did the revenue fall ?", - "Output Program": [ - "n0 = 48.0\nn1 = 69.0\nt0 = n1 - n0\nt1 = t0 / n1\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "30.434782608695656" - ], - "split": "train" - }, - { - "Input": "mike needs 30 % to pass . if he scored 212 marks and falls short by 19 marks , what was the maximum marks he could have got ?", - "Output Program": [ - "n0 = 30.0\nn1 = 212.0\nn2 = 19.0\nt0 = n1 + n2\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "770" - ], - "split": "train" - }, - { - "Input": "mary works in a restaurant a maximum of 40 hours . for the first 20 hours , she is paid $ 8 per hour . for each overtime hour , she is paid at a rate which is 25 % higher than her regular rate . how much mary can earn in a week ?", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nn2 = 8.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n2\nt2 = n0 - n1\nt3 = n2 * t0\nt4 = t3 * t2\nanswer = t1 + t4\nprint(answer)" - ], - "Output Answer": [ - "360" - ], - "split": "train" - }, - { - "Input": "sonika deposited rs . 13000 which amounted to rs . 10200 after 4 years at simple interest . had the interest been 5 % more . she would get how much ?", - "Output Program": [ - "n0 = 13000.0\nn1 = 10200.0\nn2 = 4.0\nn3 = 5.0\nt0 = n3 / 100.0\nt1 = n1 - n0\nt2 = t1 / n2\nt3 = t2 / n0\nt4 = t0 + t3\nt5 = n0 * t4\nt6 = n2 * t5\nanswer = n0 + t6\nprint(answer)" - ], - "Output Answer": [ - "12800" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sells 400 metres of cloth for rs . 18000 at a loss of rs . 5 per metre . find his cost price for one metre of cloth ?", - "Output Program": [ - "n0 = 400.0\nn1 = 18000.0\nn2 = 5.0\nt0 = n1 / n0\nanswer = n2 + t0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "the profits of qrs company rose 10 % from march to april , then dropped 20 % from april to may , then rose 50 % from may to june . what was the percent increase for the whole quarter , from march to june ?", - "Output Program": [ - "n0 = 10.0\nn1 = 20.0\nn2 = 50.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 + 1.0\nt4 = t1 + 1.0\nt5 = 1.0 - t2\nt6 = t4 * t5\nt7 = t3 * t6\nt8 = t7 - 1.0\nanswer = t8 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "32.00000000000003" - ], - "split": "train" - }, - { - "Input": "the amount of principal rs . 4000 at compound interest at the ratio of 10 % p . a . for 3 years is", - "Output Program": [ - "n0 = 4000.0\nn1 = 10.0\nn2 = 3.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(3.0, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "5324.000000000002" - ], - "split": "train" - }, - { - "Input": "how long will a boy take to run round a square field of side 60 meters , if he runs at the rate of 9 km / hr ?", - "Output Program": [ - "n0 = 60.0\nn1 = 9.0\nt0 = 1000.0 / 3600.0\nt1 = n0 * 4.0\nt2 = n1 * t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "96" - ], - "split": "train" - }, - { - "Input": "if a book is sold at 9 % profit instead of 9 % loss , it would have brought rs 9 more . find out the cost price of the book", - "Output Program": [ - "n0 = 9.0\nn1 = 9.0\nn2 = 9.0\nt0 = n0 / 2.0\nt1 = t0 * 100.0\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a man bought an article and sold it at a gain of 5 % . if he had bought it at 5 % less and sold it for re 3 less , he would have made a profit of 10 % . the c . p . of the article was", - "Output Program": [ - "n0 = 5.0\nn1 = 5.0\nn2 = 3.0\nn3 = 10.0\nt0 = n0 * 4.0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "one ball will drop from a certain height . the height it will reach after rebounding from the floor is 50 percent of the previous height . the total travel is 260 cm when it touches the floor on third time . what is the value of the original height ?", - "Output Program": [ - "n0 = 50.0\nn1 = 260.0\nt0 = n0 / 100.0\nt1 = t0 + 2.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "104" - ], - "split": "train" - }, - { - "Input": "a distributor sells a product through an online store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 17 per item . what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item ?", - "Output Program": [ - "n0 = 20.0\nn1 = 17.0\nn2 = 20.0\nt0 = n0 / 100.0\nt1 = 100.0 - n0\nt2 = t1 / 100.0\nt3 = n1 * t0\nt4 = n1 + t3\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "25.499999999999996" - ], - "split": "train" - }, - { - "Input": "last year sandy saved 6 % of her annual salary . this year , she made 10 % more money than last year , and she saved 8 % of her salary . the amount saved this year was what percent of the amount she saved last year ?", - "Output Program": [ - "n0 = 6.0\nn1 = 10.0\nn2 = 8.0\nt0 = n1 + 100.0\nt1 = n2 / 100.0\nt2 = n0 * 100.0\nt3 = t2 / 100.0\nt4 = t0 * t1\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "146.66666666666669" - ], - "split": "train" - }, - { - "Input": "a dress on sale in a shop is marked at $ d . during the discount sale its price is reduced by 65 % . staff are allowed a further 60 % reduction on the discounted price . if a staff member buys the dress what will she have to pay in terms of d ?", - "Output Program": [ - "n0 = 65.0\nn1 = 60.0\nt0 = n1 / 100.0\nt1 = 100.0 - n0\nt2 = t1 / 100.0\nt3 = t2 * t0\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "0.13999999999999999" - ], - "split": "train" - }, - { - "Input": "a watch was sold at a loss of 21 % . if it was sold for rs . 140 more , there would have been a gain of 4 % . what is the cost price ?", - "Output Program": [ - "n0 = 21.0\nn1 = 140.0\nn2 = 4.0\nt0 = 100.0 + n2\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t0 - t2\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "560" - ], - "split": "train" - }, - { - "Input": "if 60 % of 3 / 5 of a number is 36 , then the number is ?", - "Output Program": [ - "n0 = 60.0\nn1 = 3.0\nn2 = 5.0\nn3 = 36.0\nt0 = n0 / 100.0\nt1 = n1 / n2\nt2 = t0 * t1\nanswer = n3 / t2\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "a sum of money amounts to rs . 9800 after 5 years and rs . 12005 after 8 years at the same rate of simple interest . the rate of interest per annum is ?", - "Output Program": [ - "n0 = 9800.0\nn1 = 5.0\nn2 = 12005.0\nn3 = 8.0\nt0 = n0 * n3\nt1 = n1 * n2\nt2 = n2 - n0\nt3 = t0 - t1\nt4 = t2 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "train" - }, - { - "Input": "in a college , 1 percent of students hate math , 2 percent of students hate english , 1 percent hate french and 4 percent hate german . can you find out the percentage of students who hate all 4 subjects ?", - "Output Program": [ - "n0 = 1.0\nn1 = 2.0\nn2 = 1.0\nn3 = 4.0\nn4 = 4.0\nt0 = n0 * n1\nanswer = n3 * t0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "a cylinder of height h is 2 / 3 of water . when all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder , the new cylinder is 3 / 5 full . the height of the new cylinder is what percent of h ?", - "Output Program": [ - "n0 = 2.0\nn1 = 3.0\nn2 = 25.0\nn3 = 3.0\nn4 = 5.0\nt0 = n3 / n4\nt1 = n0 / n1\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "90" - ], - "split": "train" - }, - { - "Input": "200 is what percent of 50 ?", - "Output Program": [ - "n0 = 200.0\nn1 = 50.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "at what rate percent per annum will the simple interest on a sum of money be 6 / 5 of the amount in 10 years ?", - "Output Program": [ - "n0 = 6.0\nn1 = 5.0\nn2 = 10.0\nt0 = n0 / n1\nt1 = t0 * 100.0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "train" - }, - { - "Input": "if the personal income tax rate is lowered from 45 % to 30 % , what is the differential savings for a tax payer having an annual income before tax to the tune of $ 48000 ?", - "Output Program": [ - "n0 = 45.0\nn1 = 30.0\nn2 = 48000.0\nt0 = n2 / 100.0\nt1 = n0 - n1\nanswer = t0 * t1\nprint(answer)" - ], - "Output Answer": [ - "7200" - ], - "split": "train" - }, - { - "Input": "a 6 litre sol is 30 % alcohol . how many litres of pure alcohol must be added to produce a sol that is 50 % alcohol ?", - "Output Program": [ - "n0 = 6.0\nn1 = 30.0\nn2 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = t1 * 2.0\nanswer = n0 - t2\nprint(answer)" - ], - "Output Answer": [ - "2.4000000000000004" - ], - "split": "train" - }, - { - "Input": "a man ' s speed with the current is 15 km / hr and the speed of the current is 2.5 km / hr . the man ' s speed against the current is", - "Output Program": [ - "n0 = 15.0\nn1 = 2.5\nt0 = n0 - n1\nanswer = t0 - n1\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "a person lent a certain sum of money at 6 % per annum at simple interest and in 8 years the interest amounted to $ 572 less than the sum lent . what was the sum lent ?", - "Output Program": [ - "n0 = 6.0\nn1 = 8.0\nn2 = 572.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "1100" - ], - "split": "train" - }, - { - "Input": "the price of a shirt is increased by 15 % and then reduced by 15 % . the final price of the shirt is ?", - "Output Program": [ - "n0 = 15.0\nn1 = 15.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = 1.0 - t0\nt3 = t1 * t2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "97.74999999999999" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article at $ 100 with 40 % profit . then find its cost price ?", - "Output Program": [ - "n0 = 100.0\nn1 = 40.0\nt0 = n1 + 100.0\nt1 = 100.0 / t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "71.42857142857143" - ], - "split": "train" - }, - { - "Input": "john had a stock of 1400 books in his bookshop . he sold 75 on monday , 50 on tuesday , 64 on wednesday , 78 on thursday and 135 on friday . what percentage of the books were not sold ?", - "Output Program": [ - "n0 = 1400.0\nn1 = 75.0\nn2 = 50.0\nn3 = 64.0\nn4 = 78.0\nn5 = 135.0\nt0 = n1 + n2\nt1 = n3 + n4\nt2 = t0 + t1\nt3 = n5 + t2\nt4 = n0 - t3\nt5 = t4 / n0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "71.28571428571429" - ], - "split": "train" - }, - { - "Input": "yesterday ' s closing prices of 1980 different stocks listed on a certain stock exchange were all different from today ' s closing prices . the number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price . how many of the stocks closed at a higher price today than yesterday ?", - "Output Program": [ - "n0 = 1980.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = n1 * 100.0\nt2 = t0 + 1.0\nt3 = t1 - 10.0\nt4 = t2 + 1.0\nt5 = t3 - 10.0\nt6 = t5 / t4\nanswer = t2 * t6\nprint(answer)" - ], - "Output Answer": [ - "1079.9999999999998" - ], - "split": "train" - }, - { - "Input": "a man bought an article and sold it at a gain of 5 % . if he had bought it at 5 % less and sold it for re 2 less , he would have made a profit of 10 % . the c . p . of the article was", - "Output Program": [ - "n0 = 5.0\nn1 = 5.0\nn2 = 2.0\nn3 = 10.0\nt0 = n0 * 4.0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "rs . 2500 is divided into two parts such that if one part be put out at 5 % simple interest and the other at 6 % , the yearly annual income may be rs . 120 . how much was lent at 5 % ?", - "Output Program": [ - "n0 = 2500.0\nn1 = 5.0\nn2 = 6.0\nn3 = 120.0\nn4 = 5.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n0 * n2\nt3 = t2 / 100.0\nt4 = t0 - t1\nt5 = n3 - t3\nanswer = t5 / t4\nprint(answer)" - ], - "Output Answer": [ - "3000.0000000000014" - ], - "split": "train" - }, - { - "Input": "a circle graph shows how the megatech corporation allocates its research and development budget : 14 % microphotonics ; 24 % home electronics ; 20 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics . if the arc of each sector of the graph is proportional to the percentage of the budget it represents , how many degrees of the circle are used to represent basic astrophysics research ?", - "Output Program": [ - "n0 = 14.0\nn1 = 24.0\nn2 = 20.0\nn3 = 29.0\nn4 = 8.0\nt0 = n0 + n1\nt1 = 3600.0 / 10.0\nt2 = n2 + t0\nt3 = n3 + t2\nt4 = n4 + t3\nt5 = 100.0 - t4\nt6 = t1 * t5\nanswer = t6 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "18" - ], - "split": "train" - }, - { - "Input": "in a sample of 800 high school students in which all students are either freshmen , sophomores , juniors , or seniors , 22 percent are juniors and 75 percent are not sophomores . if there are 160 seniors , how many more freshmen than sophomores are there among the sample of students ?", - "Output Program": [ - "n0 = 800.0\nn1 = 22.0\nn2 = 75.0\nn3 = 160.0\nt0 = n3 / n0\nt1 = 100.0 - n2\nt2 = t0 * 100.0\nt3 = n0 * t1\nt4 = t3 / 100.0\nt5 = 100.0 - t2\nt6 = t5 - n1\nt7 = t6 - t1\nt8 = n0 * t7\nt9 = t8 / 100.0\nanswer = t9 - t4\nprint(answer)" - ], - "Output Answer": [ - "64" - ], - "split": "train" - }, - { - "Input": "how is 5 % expressed as a decimal fraction ?", - "Output Program": [ - "n0 = 5.0\n\nanswer = n0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "0.05" - ], - "split": "train" - }, - { - "Input": "a man buys an item at rs . 750 and sells it at the loss of 10 percent . then what is the selling price of that item", - "Output Program": [ - "n0 = 750.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "675" - ], - "split": "train" - }, - { - "Input": "a retailer bought a machine at a wholesale price of $ 126 and later on sold it after a 10 % discount of the retail price . if the retailer made a profit equivalent to 20 % of the whole price , what is the retail price of the machine ?", - "Output Program": [ - "n0 = 126.0\nn1 = 10.0\nn2 = 20.0\nt0 = n0 * n2\nt1 = 3.0 * 3.0\nt2 = t0 / 100.0\nt3 = n1 * t1\nt4 = n0 + t2\nt5 = t4 * 100.0\nanswer = t5 / t3\nprint(answer)" - ], - "Output Answer": [ - "167.99999999999997" - ], - "split": "train" - }, - { - "Input": "at a special sale , 8 tickets can be purchased for the price of 6 tickets . if 8 tickets are purchased at the sale , the amount saved will be what percent of the original price of the 8 tickets ?", - "Output Program": [ - "n0 = 8.0\nn1 = 6.0\nn2 = 8.0\nn3 = 8.0\nt0 = n0 * n0\nt1 = n0 * n1\nt2 = t0 - t1\nt3 = t2 * 100.0\nanswer = t3 / t0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "john makes $ 30 a week from his job . he earns a raise andnow makes $ 40 a week . what is the % increase ?", - "Output Program": [ - "n0 = 30.0\nn1 = 40.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "train" - }, - { - "Input": "a small college reduced its faculty by approximately 20 percent to 195 professors . what was the original number of faculty members ?", - "Output Program": [ - "n0 = 20.0\nn1 = 195.0\nt0 = 100.0 - n0\nt1 = t0 / 100.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "243.75" - ], - "split": "train" - }, - { - "Input": "in one alloy there is 12 % chromium while in another alloy it is 8 % . 15 kg of the first alloy was melted together with 40 kg of the second one to form a third alloy . find the percentage of chromium in the new alloy .", - "Output Program": [ - "n0 = 12.0\nn1 = 8.0\nn2 = 15.0\nn3 = 40.0\nt0 = n2 + n3\nt1 = n0 * n2\nt2 = n1 * n3\nt3 = t1 / 100.0\nt4 = t2 / 100.0\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "9.090909090909092" - ], - "split": "train" - }, - { - "Input": "the owner of a furniture shop charges his customer 15 % more than the cost price . if a customer paid rs . 5750 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 15.0\nn1 = 5750.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "5000" - ], - "split": "train" - }, - { - "Input": "on june 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 4 for each of the past 5 months . if the stock continues to decrease at the same rate for the rest of the year , how many fewer bicycles will be in stock on october 1 than were in stock on january 1 ?", - "Output Program": [ - "n0 = 1.0\nn1 = 4.0\nn2 = 5.0\nn3 = 1.0\nn4 = 1.0\nt0 = 10.0 - 1.0\nanswer = n1 * t0\nprint(answer)" - ], - "Output Answer": [ - "36" - ], - "split": "train" - }, - { - "Input": "on a purchase of $ 118 , a store offered a payment plan consisting of a $ 18 down payment and 12 monthly payments of $ 10 each . what percent of the purchase price , to the nearest tenth of a percent , did the customer pay in interest by using this plan ?", - "Output Program": [ - "n0 = 118.0\nn1 = 18.0\nn2 = 12.0\nn3 = 10.0\nt0 = n2 * n3\nt1 = n1 + t0\nt2 = t1 - t0\nt3 = t2 / n0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "15.254237288135593" - ], - "split": "train" - }, - { - "Input": "if 10 litres of an oil of rs . 50 per litres be mixed with 5 litres of another oil of rs . 66 per litre then what is the rate of mixed oil per litre ?", - "Output Program": [ - "n0 = 10.0\nn1 = 50.0\nn2 = 5.0\nn3 = 66.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n3\nt3 = t1 + t2\nanswer = t3 / t0\nprint(answer)" - ], - "Output Answer": [ - "55.333333333333336" - ], - "split": "train" - }, - { - "Input": "in the fifth grade at parkway elementary school there are 420 students . 312 students are boys and 250 students are playing soccer . 78 % of the students that play soccer are boys . how many girl student are in parkway that is not playing soccer ?", - "Output Program": [ - "n0 = 420.0\nn1 = 312.0\nn2 = 250.0\nn3 = 78.0\nt0 = n2 * n3\nt1 = n0 - n1\nt2 = t0 / 100.0\nt3 = n2 - t2\nanswer = t1 - t3\nprint(answer)" - ], - "Output Answer": [ - "53" - ], - "split": "train" - }, - { - "Input": "the amount of principal rs . 8000 at compound interest at the ratio of 5 % p . a . for 4 years is", - "Output Program": [ - "n0 = 8000.0\nn1 = 5.0\nn2 = 4.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "9724.050000000001" - ], - "split": "train" - }, - { - "Input": "a glass was filled with 10 ounces of water , and 0.02 ounce of the water evaporated each day during a 30 - day period . what percent of the original amount of water evaporated during this period ?", - "Output Program": [ - "n0 = 10.0\nn1 = 0.02\nn2 = 30.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "in business , a and c invested amounts in the ratio 3 : 2 , whereas the ratio between amounts invested by a and b was 3 : 1 , if rs 60000 was their profit , how much amount did c receive .", - "Output Program": [ - "n0 = 3.0\nn1 = 2.0\nn2 = 3.0\nn3 = 1.0\nn4 = 60000.0\nt0 = n0 + n1\nt1 = n0 + n3\nt2 = n3 + t0\nt3 = t1 * 3.0\nt4 = n3 / t2\nt5 = t3 * 100.0\nt6 = t5 * 100.0\nanswer = t4 * t6\nprint(answer)" - ], - "Output Answer": [ - "20000" - ], - "split": "train" - }, - { - "Input": "in a certain village , 150 litres of water are required per household per month . at this rate , if there are 10 households in the village , how long ( in months ) will 6000 litres of water last ?", - "Output Program": [ - "n0 = 150.0\nn1 = 10.0\nn2 = 6000.0\nt0 = n0 * n1\nanswer = n2 / t0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "a reduction of 30 % in the price of oil enables a house wife to obtain 3 kgs more for rs . 700 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 30.0\nn1 = 3.0\nn2 = 700.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "70" - ], - "split": "train" - }, - { - "Input": "a retailer bought a machine at a wholesale price of $ 99 and later on sold it after a 10 % discount of the retail price . if the retailer made a profit equivalent to 20 % of the whole price , what is the retail price of the machine ?", - "Output Program": [ - "n0 = 99.0\nn1 = 10.0\nn2 = 20.0\nt0 = n0 * n2\nt1 = 3.0 * 3.0\nt2 = t0 / 100.0\nt3 = n1 * t1\nt4 = n0 + t2\nt5 = t4 * 100.0\nanswer = t5 / t3\nprint(answer)" - ], - "Output Answer": [ - "132" - ], - "split": "train" - }, - { - "Input": "a cricket bat is sold for $ 850 , making a profit of $ 215 . the profit percentage would be", - "Output Program": [ - "n0 = 850.0\nn1 = 215.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.85826771653544" - ], - "split": "train" - }, - { - "Input": "arun purchased 30 kg of wheat at the rate of rs . 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg . he mixed the two and sold the mixture . approximately what price per kg should be sell the mixture to make 35 % profit ?", - "Output Program": [ - "n0 = 30.0\nn1 = 11.5\nn2 = 20.0\nn3 = 14.25\nn4 = 35.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n3\nt3 = t1 + t2\nt4 = t3 / 100.0\nt5 = n4 * t4\nt6 = t3 + t5\nanswer = t6 / t0\nprint(answer)" - ], - "Output Answer": [ - "17.01" - ], - "split": "train" - }, - { - "Input": "suresh started a business , investing rs . 18000 . after 3 months and 4 months respectively , rohan and sudhir joined him with capitals of 12000 and 9000 . at the end of the year the total profit was rs . 3872 . what is the difference between rohan \u2019 s and sudhir \u2019 s share in the profit ?", - "Output Program": [ - "n0 = 18000.0\nn1 = 3.0\nn2 = 4.0\nn3 = 12000.0\nn4 = 9000.0\nn5 = 3872.0\nt0 = n1 * n2\nt1 = t0 - n1\nt2 = t0 - n2\nt3 = t1 / t0\nt4 = t2 / t0\nt5 = n3 * t3\nt6 = n4 * t4\nt7 = n0 + t5\nt8 = t5 - t6\nt9 = t7 + t6\nt10 = n5 / t9\nanswer = t10 * t8\nprint(answer)" - ], - "Output Answer": [ - "352" - ], - "split": "train" - }, - { - "Input": "a shopkeeper has 280 kg of apples . he sells 40 % of these at 20 % profit and remaining 60 % at 30 % profit . find his % profit on total .", - "Output Program": [ - "n0 = 280.0\nn1 = 40.0\nn2 = 20.0\nn3 = 60.0\nn4 = 30.0\nt0 = n2 + 100.0\nt1 = n4 + 100.0\nt2 = n0 * n1\nt3 = n0 * n3\nt4 = t2 / 100.0\nt5 = t0 / 100.0\nt6 = t3 / 100.0\nt7 = t1 / 100.0\nt8 = t4 * t5\nt9 = t6 * t7\nt10 = t8 + t9\nt11 = t10 - n0\nt12 = t11 * 100.0\nanswer = t12 / n0\nprint(answer)" - ], - "Output Answer": [ - "26.000000000000004" - ], - "split": "train" - }, - { - "Input": "a certain tax rate is $ 65 per $ 100.00 . what is the rate , expressed as a percent ?", - "Output Program": [ - "n0 = 65.0\nn1 = 100.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "65" - ], - "split": "train" - }, - { - "Input": "the simple interest on a certain sum of money at the rate of 4 % p . a . for 5 years is rs . 1680 . at what rate of interest the same amount of interest can be received on the same sum after 4 years ?", - "Output Program": [ - "n0 = 4.0\nn1 = 5.0\nn2 = 1680.0\nn3 = 4.0\nt0 = n2 / n0\nt1 = n2 / n1\nt2 = n0 / 100.0\nt3 = t1 / t2\nt4 = t0 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "if it is assumed that 70 percent of those who receive a questionnaire by mail will respond and 300 responses are needed , what is the minimum number of questionnaires that should be mailed ?", - "Output Program": [ - "n0 = 70.0\nn1 = 300.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "428.5714285714286" - ], - "split": "train" - }, - { - "Input": "a car is purchased on hire - purchase . the cash price is $ 25 000 and the terms are a deposit of 10 % of the price , then the balance to be paid off over 60 equal monthly installments . interest is charged at 12 % p . a . what is the monthly installment ?", - "Output Program": [ - "n0 = 25.0\nn1 = 0.0\nn2 = 10.0\nn3 = 60.0\nn4 = 12.0\nt0 = n2 / 100.0\nt1 = n4 / 100.0\nt2 = n0 * 1000.0\nt3 = t1 / n4\nt4 = 1.0 - t0\nt5 = t2 * t4\nt6 = t5 / n3\nt7 = t3 * t5\nanswer = t6 + t7\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "the regular price per can of a certain brand of soda is $ 0.40 . if the regular price per can is discounted 15 percent when the soda is purchased in 24 - can cases , what is the price of 100 cans of this brand of soda purchased in 24 - can cases ?", - "Output Program": [ - "n0 = 0.4\nn1 = 15.0\nn2 = 24.0\nn3 = 100.0\nn4 = 24.0\nt0 = n0 * n3\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nanswer = t2 * t0\nprint(answer)" - ], - "Output Answer": [ - "34" - ], - "split": "train" - }, - { - "Input": "after successive discounts of 20 % , 10 % and 5 % a certain good is sold for rs . 6400 . find the actual price of the good .", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nn2 = 5.0\nn3 = 6400.0\nt0 = n3 * 100.0\nt1 = 100.0 - n0\nt2 = n1 * t1\nt3 = t2 / 100.0\nt4 = t1 - t3\nt5 = n2 * t4\nt6 = t5 / 100.0\nt7 = t4 - t6\nanswer = t0 / t7\nprint(answer)" - ], - "Output Answer": [ - "9356.725146198829" - ], - "split": "train" - }, - { - "Input": "x and y started a business by investing rs . 36000 and rs . 42000 respectively after 4 months z joined in the business with an investment of rs . 48000 , then find share of z in the profit of rs . 14080 ?", - "Output Program": [ - "n0 = 36000.0\nn1 = 42000.0\nn2 = 4.0\nn3 = 48000.0\nn4 = 14080.0\nt0 = 3.0 * n2\nt1 = n0 * t0\nt2 = n1 * t0\nt3 = t0 - n2\nt4 = t1 + t2\nt5 = n3 * t3\nt6 = t4 + t5\nt7 = n4 / t6\nanswer = t7 * t5\nprint(answer)" - ], - "Output Answer": [ - "4096" - ], - "split": "train" - }, - { - "Input": "some of 50 % - intensity red paint is replaced with 25 % solution of red paint such that the new paint intensity is 30 % . what fraction of the original paint was replaced ?", - "Output Program": [ - "n0 = 50.0\nn1 = 25.0\nn2 = 30.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 - t1\nt4 = t2 - t1\nanswer = t3 / t4\nprint(answer)" - ], - "Output Answer": [ - "0.8" - ], - "split": "train" - }, - { - "Input": "if the cost price of 55 articles is equal to the selling price of 50 articles , then what is the percent profit ?", - "Output Program": [ - "n0 = 55.0\nn1 = 50.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = 100.0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10.000000000000004" - ], - "split": "train" - }, - { - "Input": "a candidate appearing for an examination has to secure 42 % marks to pass paper i . but he secured only 60 marks and failed by 20 marks . what is the maximum mark for paper i ?", - "Output Program": [ - "n0 = 42.0\nn1 = 60.0\nn2 = 20.0\nt0 = n1 + n2\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "190.47619047619048" - ], - "split": "train" - }, - { - "Input": "the market value of a certain machine decreased by 30 percent of its purchase price each year . if the machine was purchased in 1982 for its market value of $ 8,000 , what was its market value two years later ?", - "Output Program": [ - "n0 = 30.0\nn1 = 1982.0\nn2 = 8000.0\nt0 = n0 / 100.0\nt1 = 10.0 * 100.0\nt2 = 2.0 * 4.0\nt3 = t1 * t2\nt4 = t0 * 2.0\nt5 = t3 * t4\nanswer = t3 - t5\nprint(answer)" - ], - "Output Answer": [ - "3200" - ], - "split": "train" - }, - { - "Input": "the owner of a furniture shop charges his customer 20 % more than the cost price . if a customer paid rs . 8400 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 20.0\nn1 = 8400.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "7000" - ], - "split": "train" - }, - { - "Input": "the profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448 . what should be the sale price for making 30 % profit ?", - "Output Program": [ - "n0 = 832.0\nn1 = 448.0\nn2 = 30.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nt2 = n2 * t1\nt3 = t2 / 100.0\nanswer = t3 + t1\nprint(answer)" - ], - "Output Answer": [ - "832" - ], - "split": "train" - }, - { - "Input": "find the compound interest on $ 100000 in 2 years at 4 % per annum , the interest being compounded half - yearly ?", - "Output Program": [ - "n0 = 100000.0\nn1 = 2.0\nn2 = 4.0\nt0 = n2 / 100.0\nt1 = t0 / n1\nt2 = t1 + 1.0\nt3 = t2**min(n2, 5)\nt4 = n0 * t3\nanswer = t4 - n0\nprint(answer)" - ], - "Output Answer": [ - "8243.216" - ], - "split": "train" - }, - { - "Input": "rs . 2500 is divided into two parts such that if one part be put out at 5 % simple interest and the other at 6 % , the yearly annual income may be rs . 135 . how much was lent at 5 % ?", - "Output Program": [ - "n0 = 2500.0\nn1 = 5.0\nn2 = 6.0\nn3 = 135.0\nn4 = 5.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n0 * n2\nt3 = t2 / 100.0\nt4 = t0 - t1\nt5 = n3 - t3\nanswer = t5 / t4\nprint(answer)" - ], - "Output Answer": [ - "1500.0000000000007" - ], - "split": "train" - }, - { - "Input": "a trader cheats both his supplier and customer by using faulty weights . when he buys from the supplier , he takes 10 % more than the indicated weight . when he sells to his customer , he gives the customer a weight such that 50 % of that is added to the weight , the weight claimed by the trader is obtained . if he charges the cost price of the weight that he claims , find his profit percentage .", - "Output Program": [ - "n0 = 10.0\nn1 = 50.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = t1 / 100.0\nt3 = t0 * t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "65" - ], - "split": "train" - }, - { - "Input": "a gambler has won 40 % of his 40 poker games for the week so far . if , all of a sudden , his luck changes and he begins winning 80 % of the time , how many more games must he play to end up winning 60 % of all his games for the week ?", - "Output Program": [ - "n0 = 40.0\nn1 = 40.0\nn2 = 80.0\nn3 = 60.0\nt0 = n3 / 100.0\nt1 = n0 / 100.0\nt2 = n2 / 100.0\nt3 = n1 * t0\nt4 = n1 * t1\nt5 = t2 - t0\nt6 = t3 - t4\nanswer = t6 / t5\nprint(answer)" - ], - "Output Answer": [ - "39.999999999999986" - ], - "split": "train" - }, - { - "Input": "the list price of an article is rs . 65 . a customer pays rs . 57.33 for it . he was given two successive discounts , one of them being 10 % . the other discount is ?", - "Output Program": [ - "n0 = 65.0\nn1 = 57.33\nn2 = 10.0\nt0 = n2 / 100.0\nt1 = n0 * t0\nt2 = n0 - t1\nt3 = t2 - n1\nt4 = t3 / t2\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2.0000000000000027" - ], - "split": "train" - }, - { - "Input": "a shopkeeper loses 15 % , if an article is sold for rs . 187 . what should be the selling price of the article to gain 20 % ?", - "Output Program": [ - "n0 = 15.0\nn1 = 187.0\nn2 = 20.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = 1.0 - t0\nt3 = n1 / t2\nt4 = t3 * t1\nanswer = t3 + t4\nprint(answer)" - ], - "Output Answer": [ - "264" - ], - "split": "train" - }, - { - "Input": "a person buys an article at rs . 500 . at what price should he sell the article so as to make a profit of 10 % ?", - "Output Program": [ - "n0 = 500.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "550" - ], - "split": "train" - }, - { - "Input": "a team won 40 percent of its first 30 games in a particular season , and 80 percent of its remaining games . if the team won a total of 60 percent of its games that season , what was the total number of games that the team played ?", - "Output Program": [ - "n0 = 40.0\nn1 = 30.0\nn2 = 80.0\nn3 = 60.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = n1 * t0\nt4 = t1 - t2\nanswer = t3 / t4\nprint(answer)" - ], - "Output Answer": [ - "59.99999999999998" - ], - "split": "train" - }, - { - "Input": "john had a stock of 800 books in his bookshop . he sold 62 on monday , 62 on tuesday , 60 on wednesday , 48 on thursday and 40 on friday . what percentage of the books were not sold ?", - "Output Program": [ - "n0 = 800.0\nn1 = 62.0\nn2 = 62.0\nn3 = 60.0\nn4 = 48.0\nn5 = 40.0\nt0 = n1 + n2\nt1 = n3 + n4\nt2 = t0 + t1\nt3 = n5 + t2\nt4 = n0 - t3\nt5 = t4 / n0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "66" - ], - "split": "train" - }, - { - "Input": "a company pays 18.5 % dividend to its investors . if an investor buys rs . 50 shares and gets 25 % on investment , at what price did the investor buy the shares ?", - "Output Program": [ - "n0 = 18.5\nn1 = 50.0\nn2 = 25.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = t1 * 100.0\nanswer = t2 / n2\nprint(answer)" - ], - "Output Answer": [ - "37" - ], - "split": "train" - }, - { - "Input": "david ' s bank ' s saving amount is decreased 10 % due to loan payment and current balance is rs . 90000 . find the actual balance before deduction ?", - "Output Program": [ - "n0 = 10.0\nn1 = 90000.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "100000" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sells 200 metres of cloth for rs . 18000 at a loss of rs . 5 per metre . find his cost price for one metre of cloth ?", - "Output Program": [ - "n0 = 200.0\nn1 = 18000.0\nn2 = 5.0\nt0 = n1 / n0\nanswer = n2 + t0\nprint(answer)" - ], - "Output Answer": [ - "95" - ], - "split": "train" - }, - { - "Input": "an empty fuel tank with a capacity of 204 gallons was filled partially with fuel a and then to capacity with fuel b . fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume . if the full fuel tank contains 30 gallons of ethanol , how many gallons of fuel a were added ?", - "Output Program": [ - "n0 = 204.0\nn1 = 12.0\nn2 = 16.0\nn3 = 30.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 * t0\nt3 = t0 - t1\nt4 = t2 - n3\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "66" - ], - "split": "train" - }, - { - "Input": "the compound interest earned on a sum for the second and the third years are $ 1400 and $ 1512 respectively . what is the rate of interest ?", - "Output Program": [ - "n0 = 1400.0\nn1 = 1512.0\nt0 = n1 - n0\nt1 = t0 * 100.0\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "if $ 120 invested at a certain rate of simple interest amounts to $ 160 at the end of 3 years , how much will $ 150 amount to at the same rate of interest in 6 years ?", - "Output Program": [ - "n0 = 120.0\nn1 = 160.0\nn2 = 3.0\nn3 = 150.0\nn4 = 6.0\nt0 = n3 * n4\nt1 = n1 - n0\nt2 = t1 * n0\nt3 = t2 / n0\nt4 = t3 / n2\nt5 = t4 * t0\nt6 = t5 / n0\nanswer = n3 + t6\nprint(answer)" - ], - "Output Answer": [ - "250" - ], - "split": "train" - }, - { - "Input": "a person distributed 20 % of his income to his 3 children each . he deposited 30 % of his income to his wife ' s account . he donated 5 % of remaining amount to an orphan house . finally he has $ 60000 . find his total income ?", - "Output Program": [ - "n0 = 20.0\nn1 = 3.0\nn2 = 30.0\nn3 = 5.0\nn4 = 60000.0\nt0 = n0 * n1\nt1 = n2 + t0\nt2 = n3 + t1\nt3 = 100.0 - t2\nt4 = n4 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "1200000" - ], - "split": "train" - }, - { - "Input": "a shopkeeper has 100 kg of apples . he sells 50 % of these at 25 % profit and remaining 50 % at 30 % profit . find his % profit on total .", - "Output Program": [ - "n0 = 100.0\nn1 = 50.0\nn2 = 25.0\nn3 = 50.0\nn4 = 30.0\nt0 = n2 + 100.0\nt1 = n4 + 100.0\nt2 = n0 * n1\nt3 = n0 * n3\nt4 = t2 / 100.0\nt5 = t0 / 100.0\nt6 = t3 / 100.0\nt7 = t1 / 100.0\nt8 = t4 * t5\nt9 = t6 * t7\nt10 = t8 + t9\nt11 = t10 - n0\nt12 = t11 * 100.0\nanswer = t12 / n0\nprint(answer)" - ], - "Output Answer": [ - "27.5" - ], - "split": "train" - }, - { - "Input": "a dishonest shopkeeper professes to sell pulses at the cost price , but he uses a false weight of 970 gm . for a kg . his gain is \u2026 % .", - "Output Program": [ - "n0 = 970.0\nt0 = 1.0 + 4.0\nt1 = t0 * 2.0\nt2 = t1 * 100.0\nt3 = n0 / t2\nt4 = 1 / t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "3.0927835051546504" - ], - "split": "train" - }, - { - "Input": "a and b began business with rs . 3000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 840 find the share of a .", - "Output Program": [ - "n0 = 3000.0\nn1 = 4000.0\nn2 = 8.0\nn3 = 1000.0\nn4 = 1000.0\nn5 = 840.0\nt0 = n1 + n3\nt1 = n0 * n2\nt2 = n1 * n2\nt3 = n0 - n3\nt4 = 12.0 - n2\nt5 = t3 * t4\nt6 = t0 * t4\nt7 = t1 + t5\nt8 = t2 + t6\nt9 = t7 + t8\nt10 = n5 / t9\nanswer = t7 * t10\nprint(answer)" - ], - "Output Answer": [ - "320" - ], - "split": "train" - }, - { - "Input": "in the first 12 overs of a cricket game , the run rate was only 4.5 . what should be the run rate in the remaining 38 overs to reach the target of 360 runs ?", - "Output Program": [ - "n0 = 12.0\nn1 = 4.5\nn2 = 38.0\nn3 = 360.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "8.052631578947368" - ], - "split": "train" - }, - { - "Input": "a man buys a cycle for rs . 1400 and sells it at loss of 15 % . what is the selling price of the cycle ?", - "Output Program": [ - "n0 = 1400.0\nn1 = 15.0\nt0 = 100.0 - n1\nt1 = n0 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1190" - ], - "split": "train" - }, - { - "Input": "a survey was sent to 60 customers , 7 of whom responded . then the survey was redesigned and sent to another 63 customers , 9 of whom responded . by approximately what percent did the response rate increase from the original survey to the redesigned survey ?", - "Output Program": [ - "import math\nn0 = 60.0\nn1 = 7.0\nn2 = 63.0\nn3 = 9.0\nt0 = n3 / n2\nt1 = n1 / n0\nt2 = t0 - t1\nt3 = t2 * 100.0\nanswer = math.floor(t3)\nprint(answer)" - ], - "Output Answer": [ - "2" - ], - "split": "train" - }, - { - "Input": "a fellow borrowed a certain sum of money at 6 % per annum at simple interest and in 6 years the interest amounted to rs . 672 less than the sum lent . what was the sum lent ?", - "Output Program": [ - "n0 = 6.0\nn1 = 6.0\nn2 = 672.0\nt0 = n0 * n0\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "1050" - ], - "split": "train" - }, - { - "Input": "a hostel had provisions for 250 men for 36 days . if 50 men left the hostel , how long will the food last at the same rate ?", - "Output Program": [ - "n0 = 250.0\nn1 = 36.0\nn2 = 50.0\nt0 = n0 * n1\nt1 = n0 - n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "45" - ], - "split": "train" - }, - { - "Input": "in a certain pond , 40 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?", - "Output Program": [ - "n0 = 40.0\nn1 = 50.0\nn2 = 2.0\nt0 = n2 / n1\nanswer = n0 / t0\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "train" - }, - { - "Input": "on a saturday night , each of the rooms at a certain motel was rented for either $ 40 or $ 60 . if 10 of the rooms that were rented for $ 60 had instead been rented for $ 40 , then the total rent the motel charged for that night would have been reduced by 20 percent . what was the total rent the motel actually charged for that night ?", - "Output Program": [ - "n0 = 40.0\nn1 = 60.0\nn2 = 10.0\nn3 = 60.0\nn4 = 40.0\nn5 = 20.0\nt0 = n5 / 100.0\nt1 = n1 - n0\nt2 = n2 * t1\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "train" - }, - { - "Input": "money invested at x % , compounded annually , triples in value in approximately every 112 / x years . if $ 2500 is invested at a rate of 8 % , compounded annually , what will be its approximate worth in 28 years ?", - "Output Program": [ - "n0 = 112.0\nn1 = 2500.0\nn2 = 8.0\nn3 = 28.0\nt0 = n0 / n2\nt1 = n3 / t0\nt2 = 3.0**min(t1, 5)\nanswer = n1 * t2\nprint(answer)" - ], - "Output Answer": [ - "22500" - ], - "split": "train" - }, - { - "Input": "in a company , 48 percent of the employees are men . if 60 percent of the employees are unionized and 70 percent of these are men , what percent of the non - union employees are women ?", - "Output Program": [ - "n0 = 48.0\nn1 = 60.0\nn2 = 70.0\nt0 = n2 / 100.0\nt1 = 100.0 - n0\nt2 = 100.0 - n1\nt3 = n1 * t0\nt4 = n1 - t3\nt5 = t1 - t4\nt6 = t5 / t2\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "85" - ], - "split": "train" - }, - { - "Input": "by weight , liquid x makes up 0.8 percent of solution a and 1.8 percent of solution b . if 500 grams of solution a are mixed with 700 grams of solution b , then liquid x accounts for what percent of the weight of the resulting solution ?", - "Output Program": [ - "n0 = 0.8\nn1 = 1.8\nn2 = 500.0\nn3 = 700.0\nt0 = n0 * n2\nt1 = n1 * n3\nt2 = t0 + t1\nanswer = t2 / 1000.0\nprint(answer)" - ], - "Output Answer": [ - "1.66" - ], - "split": "train" - }, - { - "Input": "what is the compound interest paid on a sum of rs . 3000 for the period of 3 years at 10 % per annum .", - "Output Program": [ - "n0 = 3000.0\nn1 = 3.0\nn2 = 10.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nt3 = n0 * t2\nanswer = t3 - n0\nprint(answer)" - ], - "Output Answer": [ - "993.0000000000014" - ], - "split": "train" - }, - { - "Input": "a person borrows rs . 6000 for 2 years at 4 % p . a . simple interest . he immediately lends it to another person at 6 p . a for 2 years . find his gain in the transaction per year .", - "Output Program": [ - "n0 = 6000.0\nn1 = 2.0\nn2 = 4.0\nn3 = 6.0\nn4 = 2.0\nt0 = n0 * n3\nt1 = n0 * n2\nt2 = n1 * t0\nt3 = n1 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nt6 = t4 - t5\nanswer = t6 / n1\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "some of 50 % - intensity red paint is replaced with 20 % solution of red paint such that the new paint intensity is 40 % . what fraction of the original paint was replaced ?", - "Output Program": [ - "n0 = 50.0\nn1 = 20.0\nn2 = 40.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 - t1\nt4 = t2 - t1\nanswer = t3 / t4\nprint(answer)" - ], - "Output Answer": [ - "0.33333333333333326" - ], - "split": "train" - }, - { - "Input": "the malibu country club needs to drain its pool for refinishing . the hose they use to drain it can remove 60 cubic feet of water per minute . if the pool is 60 feet wide by 150 feet long by 10 feet deep and is currently at 80 % capacity , how long will it take to drain the pool ?", - "Output Program": [ - "n0 = 60.0\nn1 = 60.0\nn2 = 150.0\nn3 = 10.0\nn4 = 80.0\nt0 = n4 / 100.0\nt1 = n1 * n2\nt2 = n3 * t1\nt3 = t0 * t2\nanswer = t3 / n0\nprint(answer)" - ], - "Output Answer": [ - "1200" - ], - "split": "train" - }, - { - "Input": "a shopkeeper labeled the price of his articles so as to earn a profit of 50 % on the cost price . he then sold the articles by offering a discount of 10 % on the labeled price . what is the actual percent profit earned in the deal ?", - "Output Program": [ - "n0 = 50.0\nn1 = 10.0\nt0 = n0 + 100.0\nt1 = n1 / 100.0\nt2 = t0 * t1\nt3 = t0 - t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "35" - ], - "split": "train" - }, - { - "Input": "at a particular graduation party with 220 guests , 70 % of the guests brought gifts , and 40 % of the female guests brought gifts . if 12 males did not bring gifts to the party , how many females did bring gifts ?", - "Output Program": [ - "n0 = 220.0\nn1 = 70.0\nn2 = 40.0\nn3 = 12.0\nt0 = n0 * n1\nt1 = 100.0 - n2\nt2 = t0 / 100.0\nt3 = n0 - t2\nt4 = t3 - n3\nt5 = t4 * 100.0\nt6 = t5 / t1\nt7 = n2 * t6\nanswer = t7 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "36" - ], - "split": "train" - }, - { - "Input": "during a certain season , a team won 65 percent of its first 100 games and 50 percent of its remaining games . if the team won 70 percent of its games for the entire season , what was the total number of games that the team played ?", - "Output Program": [ - "n0 = 65.0\nn1 = 100.0\nn2 = 50.0\nn3 = 70.0\nt0 = n3 / n1\nt1 = n2 / n1\nt2 = n0 - n3\nt3 = t0 - t1\nt4 = t2 / t3\nanswer = n1 + t4\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "train" - }, - { - "Input": "the weight of a glass of jar is 25 % of the weight of the jar filled with coffee beans . after some of the beans have been removed , the weight of the jar and the remaining beans is 60 % of the original total weight . what fraction part of the beans remain in the jar ?", - "Output Program": [ - "n0 = 25.0\nn1 = 60.0\nt0 = n1 - n0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.4666666666666667" - ], - "split": "train" - }, - { - "Input": "p and q invested in a shop . the profits were divided in the ratio of 2 : 3 respectively . if p invested rs . 40,000 , the amount invested by q is :", - "Output Program": [ - "n0 = 2.0\nn1 = 3.0\nn2 = 40000.0\nt0 = n2 / n0\nanswer = n1 * t0\nprint(answer)" - ], - "Output Answer": [ - "60000" - ], - "split": "train" - }, - { - "Input": "what is the dividend from tony ' s stock , if he invested rs . 3200 at 85 to obtain an income of rs . 250 .", - "Output Program": [ - "n0 = 3200.0\nn1 = 85.0\nn2 = 250.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "6.640625" - ], - "split": "train" - }, - { - "Input": "the price of a coat in a certain store is $ 500 . if the price of the coat is to be reduced by $ 150 , by what percent is the price to be reduced ?", - "Output Program": [ - "n0 = 500.0\nn1 = 150.0\nt0 = n1 / n0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "if a man lost 4 % by selling oranges at the rate of 60 a rupee at how many a rupee must he sell them to gain 44 % ?", - "Output Program": [ - "n0 = 4.0\nn1 = 60.0\nn2 = 44.0\nt0 = n2 + 100.0\nt1 = 100.0 - n0\nt2 = n1 * t1\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "a shopkeeper buys mangoes at the rate of 6 a rupee and sells them at 3 a rupee . find his net profit or loss percent ?", - "Output Program": [ - "n0 = 6.0\nn1 = 3.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest . after two years she earned $ 112 and $ 120 from the simple interest account and the compound interest account respectively . if the interest rates for both accounts were the same , what was the amount of julie ' s initial savings ?", - "Output Program": [ - "n0 = 112.0\nn1 = 120.0\nt0 = n1 - n0\nt1 = t0 * 2.0\nt2 = t1 / n0\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "784" - ], - "split": "train" - }, - { - "Input": "a reduction of 20 % in the price of oil enables a house wife to obtain 10 kgs more for rs . 1500 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nn2 = 1500.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "in a sample of college students , 50 percent are third year students and 70 percent are not second - year students . what fraction of those students who are not third - year students are second - year students ?", - "Output Program": [ - "n0 = 50.0\nn1 = 70.0\nt0 = 10.0 * 3.0\nt1 = 100.0 - n0\nt2 = t1 - t0\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "0.6666666666666666" - ], - "split": "train" - }, - { - "Input": "14 is what percent of 70 ?", - "Output Program": [ - "n0 = 14.0\nn1 = 70.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article offering a discount of 5 % and earned a profit of 18.75 % . what would have been the percentage of profit earned if no discount was offered ?", - "Output Program": [ - "n0 = 5.0\nn1 = 18.75\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * 100.0\nt3 = t2 / t1\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "we invested a total of $ 1,000 . we invested one part of the money at 4 % and the rest of the money at 6 % . the total investment with interest at the end of the year was $ 1,046 . how much money did we invest at 4 % ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 4.0\nn2 = 6.0\nn3 = 1046.0\nn4 = 4.0\nt0 = 2.0 + 3.0\nt1 = n2 / 100.0\nt2 = n1 / 100.0\nt3 = 2.0 * 3.0\nt4 = t1 + 1.0\nt5 = t2 + 1.0\nt6 = t0 * 2.0\nt7 = t6 * 100.0\nt8 = t6 * 4.0\nt9 = t4 - t5\nt10 = t7 + t8\nt11 = t4 * t7\nt12 = t10 + t3\nt13 = t11 - t12\nanswer = t13 / t9\nprint(answer)" - ], - "Output Answer": [ - "699.9999999999994" - ], - "split": "train" - }, - { - "Input": "the purchase price of an article is $ 48 . in order to include 30 % of cost for overhead and to provide $ 12 of net profit , the markup should be", - "Output Program": [ - "n0 = 48.0\nn1 = 30.0\nn2 = 12.0\nt0 = n2 / n0\nt1 = t0 * 100.0\nanswer = n1 + t1\nprint(answer)" - ], - "Output Answer": [ - "55" - ], - "split": "train" - }, - { - "Input": "mary invested a certain sum of money in a bank that paid simple interest . the amount grew to $ 260 at the end of 2 years . she waited for another 3 years and got a final amount of $ 350 . what was the principal amount that she invested at the beginning ?", - "Output Program": [ - "n0 = 260.0\nn1 = 2.0\nn2 = 3.0\nn3 = 350.0\nt0 = n3 - n0\nt1 = t0 / n2\nt2 = n1 * t1\nanswer = n0 - t2\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "heinz produces tomato puree by boiling tomato juice . the tomato puree has only 20 % water while the tomato juice has 90 % water . how many liters of tomato puree will be obtained from 50 litres of tomato juice ?", - "Output Program": [ - "n0 = 20.0\nn1 = 90.0\nn2 = 50.0\nt0 = 100.0 - n1\nt1 = 100.0 - n0\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = n2 * t2\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "6.25" - ], - "split": "train" - }, - { - "Input": "a , b and c started a business with capitals of rs . 8000 , rs . 10000 and rs . 12000 respectively . at the end of the year , the profit share of b is rs . 1400 . the difference between the profit shares of a and c is ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 10000.0\nn2 = 12000.0\nn3 = 1400.0\nt0 = n2 / n1\nt1 = n0 / n1\nt2 = t0 - t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "559.9999999999999" - ], - "split": "train" - }, - { - "Input": "a sum of money deposited at c . i . amounts to rs . 9000 in 10 years and to rs . 9990 in 11 years . find the rate percent ?", - "Output Program": [ - "n0 = 9000.0\nn1 = 10.0\nn2 = 9990.0\nn3 = 11.0\nt0 = n2 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "11" - ], - "split": "train" - }, - { - "Input": "an empty wooden vessel weighs 16 % of its total weight when filled with paint . if the weight of a partially filled vessel is one half that of a completely filled vessel , what fraction of the vessel is filled .", - "Output Program": [ - "n0 = 16.0\nt0 = n0 / 2.0\nt1 = n0 - 1.0\nt2 = t0 - 1.0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.4666666666666667" - ], - "split": "train" - }, - { - "Input": "4 weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 16 weavers in 16 days ?", - "Output Program": [ - "n0 = 4.0\nn1 = 4.0\nn2 = 4.0\nn3 = 16.0\nn4 = 16.0\nt0 = n0 * n0\nt1 = n0 / t0\nt2 = n3 * t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "64" - ], - "split": "train" - }, - { - "Input": "an investment yields an interest payment of $ 234 each month . if the simple annual interest rate is 9 % , what is the amount of the investment ?", - "Output Program": [ - "n0 = 234.0\nn1 = 9.0\nt0 = 3.0 * 4.0\nt1 = n1 / t0\nt2 = n0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "31200" - ], - "split": "train" - }, - { - "Input": "an association of mathematics teachers has 1,600 members . only 525 of these members cast votes in the election for president of the association . what percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast ?", - "Output Program": [ - "n0 = 1600.0\nn1 = 525.0\nn2 = 60.0\nt0 = n2 / 100.0\nt1 = 4.0**min(2.0, 5)\nt2 = n1 * t0\nt3 = t1 * 100.0\nt4 = t2 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "19.6875" - ], - "split": "train" - }, - { - "Input": "if the a radio is sold for rs 490 and sold for rs 465.50 . find loss percentage .", - "Output Program": [ - "n0 = 490.0\nn1 = 465.5\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "a person distributed 20 % of his income to his 3 children each . he deposited 30 % of his income to his wife ' s account . he donated 5 % of remaining amount to an orphan house . finally he has $ 50000 . find his total income ?", - "Output Program": [ - "n0 = 20.0\nn1 = 3.0\nn2 = 30.0\nn3 = 5.0\nn4 = 50000.0\nt0 = n0 * n1\nt1 = n2 + t0\nt2 = n3 + t1\nt3 = 100.0 - t2\nt4 = n4 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "1000000" - ], - "split": "train" - }, - { - "Input": "a tradesman sold an article at a loss of 20 % . if the selling price had been increased by $ 100 , there would have been a gain of 5 % . what was the cost price of the article ?", - "Output Program": [ - "n0 = 20.0\nn1 = 100.0\nn2 = 5.0\nt0 = n0 + n2\nt1 = t0 / 100.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "a shop keeper marked 20 % above the cost price and offered 15 % discount then find it ' s net profit ?", - "Output Program": [ - "n0 = 20.0\nn1 = 15.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "2" - ], - "split": "train" - }, - { - "Input": "if 0.5 % of a = 65 paise , then the value of a is ?", - "Output Program": [ - "n0 = 0.5\nn1 = 65.0\n\nanswer = n1 / n0\nprint(answer)" - ], - "Output Answer": [ - "130" - ], - "split": "train" - }, - { - "Input": "in a certain boys camp , 20 % of the total boys are from school a and 30 % of those study science . if there are 42 boys in the camp that are from school a but do not study science then what is the total number of boys in the camp ?", - "Output Program": [ - "n0 = 20.0\nn1 = 30.0\nn2 = 42.0\nt0 = n0 / 100.0\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nt3 = t2 * t0\nanswer = n2 / t3\nprint(answer)" - ], - "Output Answer": [ - "300.00000000000006" - ], - "split": "train" - }, - { - "Input": "in how many years will a sum of money doubles itself at 18 % per annum on simple interest ?", - "Output Program": [ - "n0 = 18.0\n\nanswer = 100.0 / n0\nprint(answer)" - ], - "Output Answer": [ - "5.555555555555555" - ], - "split": "train" - }, - { - "Input": "population is 20000 . pop increases by 10 % every year , then the pop after 3 years is ?", - "Output Program": [ - "n0 = 20000.0\nn1 = 10.0\nn2 = 3.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n0 + t1\nt3 = t2 * t0\nt4 = t2 + t3\nt5 = t4 * t0\nanswer = t4 + t5\nprint(answer)" - ], - "Output Answer": [ - "26620" - ], - "split": "train" - }, - { - "Input": "a dishonest dealer professes to sell goods at the cost price but uses a weight of 723 grams per kg , what is his percent ?", - "Output Program": [ - "n0 = 723.0\nt0 = 2.0 + 3.0\nt1 = 100.0 / n0\nt2 = t0 * 2.0\nt3 = t2 * 100.0\nt4 = t1 * t3\nanswer = t4 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "38.31258644536655" - ], - "split": "train" - }, - { - "Input": "an error 4 % in excess is made while measuring the side of a square . what is the percentage of error in the calculated area of the square ?", - "Output Program": [ - "n0 = 4.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "8.16" - ], - "split": "train" - }, - { - "Input": "a man ' s speed with the current is 12 km / hr and the speed of the current is 2 km / hr . the man ' s speed against the current is", - "Output Program": [ - "n0 = 12.0\nn1 = 2.0\nt0 = n0 - n1\nanswer = t0 - n1\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the rate in the remaining 40 overs to reach the target of 242 runs ?", - "Output Program": [ - "n0 = 10.0\nn1 = 3.2\nn2 = 40.0\nn3 = 242.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "5.25" - ], - "split": "train" - }, - { - "Input": "what is the rate percent when the simple interest on rs . 5000 amount to rs . 2500 in 5 years ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 2500.0\nn2 = 5.0\nt0 = n1 * 100.0\nt1 = n0 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "a sum fetched a total simple interest of rs . 4016.25 at the rate of 9 % p . a . in 5 years . what is the sum ?", - "Output Program": [ - "n0 = 4016.25\nn1 = 9.0\nn2 = 5.0\nt0 = n0 * 100.0\nt1 = t0 / n1\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "8925" - ], - "split": "train" - }, - { - "Input": "company p had 15 percent more employees in december than it had in january . if company p had 450 employees in december , how many employees did it have in january ?", - "Output Program": [ - "n0 = 15.0\nn1 = 450.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "391.304347826087" - ], - "split": "train" - }, - { - "Input": "7 / 10 of the population of the country of venezia lives in montague province , while the rest lives in capulet province . in the upcoming election , 80 % of montague residents support romeo , while 70 % of capulet residents support juliet ; each resident of venezia supports exactly one of these two candidates . rounded if necessary to the nearest percent , the probability that a juliet supporter chosen at random resides in capulet is", - "Output Program": [ - "n0 = 7.0\nn1 = 10.0\nn2 = 80.0\nn3 = 70.0\nt0 = n3 / 100.0\nt1 = n0 / n1\nt2 = n1 - n0\nt3 = 100.0 - n2\nt4 = t2 / n1\nt5 = t3 / 100.0\nt6 = t0 * t4\nt7 = t5 * t1\nt8 = t7 + t6\nt9 = t6 / t8\nanswer = t9 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "of the land owned by a farmer , 90 percent was cleared for planting . of the cleared land , 80 percent was planted with barley and 10 percent of the cleared land was planted with potato . if the remaining 90 acres of cleared land was planted with tomato , how many acres did the farmer own ?", - "Output Program": [ - "n0 = 90.0\nn1 = 80.0\nn2 = 10.0\nn3 = 90.0\nt0 = n0 / 100.0\nt1 = 100.0 - n1\nt2 = t1 - n2\nt3 = t2 / 100.0\nt4 = t3 * t0\nanswer = n3 / t4\nprint(answer)" - ], - "Output Answer": [ - "999.9999999999999" - ], - "split": "train" - }, - { - "Input": "10 % of employees are women with fair hair . 40 % of fair - haired employees are women . what percent of employees have fair hair ?", - "Output Program": [ - "n0 = 10.0\nn1 = 40.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "one fourth of one third of two fifth of a number is 15 . what will be 40 % of that number", - "Output Program": [ - "n0 = 15.0\nn1 = 40.0\nt0 = 2.0 + 3.0\nt1 = 1.0 / 4.0\nt2 = 1.0 / 3.0\nt3 = 2.0 / t0\nt4 = t1 * t2\nt5 = t3 * t4\nt6 = n0 / t5\nt7 = n1 * t6\nanswer = t7 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "180" - ], - "split": "train" - }, - { - "Input": "a certain candy manufacturer reduced the weight of candy bar m by 25 percent buy left the price unchanged . what was the resulting percent increase in the price per ounce of candy bar m ?", - "Output Program": [ - "n0 = 25.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = 1.0 / t1\nt3 = t2 * 100.0\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.333333333333314" - ], - "split": "train" - }, - { - "Input": "the compound and the simple interests on a certain sum at the same rate of interest for two years are rs . 11730 and rs . 10200 respectively . find the sum", - "Output Program": [ - "n0 = 11730.0\nn1 = 10200.0\nt0 = n1 / 2.0\nt1 = n1 * 100.0\nt2 = n0 - n1\nt3 = t2 * 100.0\nt4 = t3 / t0\nt5 = t4 * 2.0\nanswer = t1 / t5\nprint(answer)" - ], - "Output Answer": [ - "17000" - ], - "split": "train" - }, - { - "Input": "if the cost price of 121 chocolates is equal to the selling price of 77 chocolates , the gain percent is :", - "Output Program": [ - "n0 = 121.0\nn1 = 77.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = 100.0 / t1\nprint(answer)" - ], - "Output Answer": [ - "57.142857142857146" - ], - "split": "train" - }, - { - "Input": "a man can row his boat with the stream at 6 km / h and against the stream in 4 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 6.0\nn1 = 4.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "1" - ], - "split": "train" - }, - { - "Input": "a man buys 100 lts of liquid which contains 25 % of the liquid and the rest is water . he then mixes it with 90 lts of another mixture with 30 % of liquid . what is the % of water in the new mixture ?", - "Output Program": [ - "n0 = 100.0\nn1 = 25.0\nn2 = 90.0\nn3 = 30.0\nt0 = n0 + n2\nt1 = 100.0 - n1\nt2 = 100.0 - n3\nt3 = n0 * t1\nt4 = n2 * t2\nt5 = t3 + t4\nanswer = t5 / t0\nprint(answer)" - ], - "Output Answer": [ - "72.63157894736842" - ], - "split": "train" - }, - { - "Input": "the price of a jacket is reduced by 20 % . during a special sale the price of the jacket is reduced another 25 % . by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount ?", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nt0 = n1 / 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t1 - t2\nt4 = 100.0 - t3\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "66.66666666666666" - ], - "split": "train" - }, - { - "Input": "a grocer purchased a quantity of bananas at 3 pounds for $ 0.50 and sold the entire quantity at 4 pounds for $ 1.00 . how many pounds did the grocer purchase if the profit from selling the bananas was $ 9.00 ?", - "Output Program": [ - "n0 = 3.0\nn1 = 0.5\nn2 = 4.0\nn3 = 1.0\nn4 = 9.0\nt0 = n3 / n2\nt1 = n1 / n0\nt2 = t0 - t1\nanswer = n4 / t2\nprint(answer)" - ], - "Output Answer": [ - "107.99999999999999" - ], - "split": "train" - }, - { - "Input": "in a shop , the profit is 320 % of the cost . if the cost increases by 25 % but the selling price remains constant , approximately what percentage of the selling price is the profit ?", - "Output Program": [ - "n0 = 320.0\nn1 = 25.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = t0 - t1\nt3 = t2 / t0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "70.23809523809523" - ], - "split": "train" - }, - { - "Input": "x and y started a business by investing rs . 36000 and rs . 42000 respectively after 4 months z joined in the business with an investment of rs . 48000 , then find share of z in the profit of rs . 13860 ?", - "Output Program": [ - "n0 = 36000.0\nn1 = 42000.0\nn2 = 4.0\nn3 = 48000.0\nn4 = 13860.0\nt0 = 3.0 * n2\nt1 = n0 * t0\nt2 = n1 * t0\nt3 = t0 - n2\nt4 = t1 + t2\nt5 = n3 * t3\nt6 = t4 + t5\nt7 = n4 / t6\nanswer = t7 * t5\nprint(answer)" - ], - "Output Answer": [ - "4032.0000000000005" - ], - "split": "train" - }, - { - "Input": "at the end of the first quarter , the share price of a certain mutual fund was 25 percent higher than it was at the beginning of the year . at the end of the second quarter , the share price was 80 percent higher than it was at the beginning of the year . what was the percent increase in the share price from the end of the first quarter to the end of the second quarter ?", - "Output Program": [ - "n0 = 25.0\nn1 = 80.0\nt0 = n1 + 100.0\nt1 = n0 + 100.0\nt2 = t0 / t1\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "43.99999999999999" - ], - "split": "train" - }, - { - "Input": "by selling an article for $ 100 a man gains $ 20 then his gain % ?", - "Output Program": [ - "n0 = 100.0\nn1 = 20.0\nt0 = n1 * 100.0\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "john purchased a grinder and a mobile for rs . 15000 & rs . 8000 respectively . he sold the grinder at a loss of 5 % and the mobile phone at a profit of 10 % . overall how much he make a profit .", - "Output Program": [ - "n0 = 15000.0\nn1 = 8000.0\nn2 = 5.0\nn3 = 10.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = n3 * t0\nt3 = n2 * t1\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "the manufacturing cost of a shoe is rs . 230 and the transportation lost is rs . 500 for 100 shoes . what will be the selling price if it is sold at 20 % gains", - "Output Program": [ - "n0 = 230.0\nn1 = 500.0\nn2 = 100.0\nn3 = 20.0\nt0 = n1 / n2\nt1 = n3 / n2\nt2 = n0 + t0\nt3 = t2 * t1\nanswer = t2 + t3\nprint(answer)" - ], - "Output Answer": [ - "282" - ], - "split": "train" - }, - { - "Input": "by selling 22 pencils for a rupee a man loses 40 % . how many for a rupee should he sell in order to gain 40 % ?", - "Output Program": [ - "n0 = 22.0\nn1 = 40.0\nn2 = 40.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = 1.0 / t1\nt3 = t0 * t2\nt4 = 1.0 / t3\nanswer = n0 * t4\nprint(answer)" - ], - "Output Answer": [ - "9.428571428571429" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an book offering a discount of 5 % and earned a profit of 14 % . what would have been the percentage of profit earned if no discount was offered ?", - "Output Program": [ - "n0 = 5.0\nn1 = 14.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "calculate how long it will take a swimmer to swim a distance of 7 km against the current of a river which flows at 2.5 km / hr , given that he can swim in still water at 4.4 km / h", - "Output Program": [ - "n0 = 7.0\nn1 = 2.5\nn2 = 4.4\nt0 = n2 - n1\nanswer = n0 / t0\nprint(answer)" - ], - "Output Answer": [ - "3.684210526315789" - ], - "split": "train" - }, - { - "Input": "? % of 360 = 162", - "Output Program": [ - "n0 = 360.0\nn1 = 162.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "45" - ], - "split": "train" - }, - { - "Input": "at an elementary school , 60 % of the faculty members are women and 60 % of the faculty members are married . if 3 / 4 of the men are single , what fraction of the men are married ?", - "Output Program": [ - "n0 = 60.0\nn1 = 60.0\nn2 = 3.0\nn3 = 4.0\nt0 = n2 / n3\nanswer = 1.0 - t0\nprint(answer)" - ], - "Output Answer": [ - "0.25" - ], - "split": "train" - }, - { - "Input": "at what rate percent on simple interest will rs . 750 amount to rs . 1200 in 5 years ?", - "Output Program": [ - "n0 = 750.0\nn1 = 1200.0\nn2 = 5.0\nt0 = n1 - n0\nt1 = t0 / n0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "train" - }, - { - "Input": "the difference between simple and compound interest on rs . 1200 for one year at 10 % per annum reckoned half - yearly is ?", - "Output Program": [ - "n0 = 1200.0\nn1 = 10.0\nt0 = n1 / 2.0\nt1 = n1 / 100.0\nt2 = t1 + 1.0\nt3 = t0 / 100.0\nt4 = t3 + 1.0\nt5 = t4**min(2.0, 5)\nt6 = t5 - t2\nanswer = n0 * t6\nprint(answer)" - ], - "Output Answer": [ - "2.999999999999936" - ], - "split": "train" - }, - { - "Input": "one fourth of one third of two fifth of a number is 25 . what will be 40 % of that number", - "Output Program": [ - "n0 = 25.0\nn1 = 40.0\nt0 = 2.0 + 3.0\nt1 = 1.0 / 4.0\nt2 = 1.0 / 3.0\nt3 = 2.0 / t0\nt4 = t1 * t2\nt5 = t3 * t4\nt6 = n0 / t5\nt7 = n1 * t6\nanswer = t7 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "300" - ], - "split": "train" - }, - { - "Input": "the cost price of an article is 56 % of the marked price . calculate the gain percent after allowing a discount of 13 % .", - "Output Program": [ - "n0 = 56.0\nn1 = 13.0\nt0 = 100.0 - n1\nt1 = t0 / n0\nt2 = t1 - 1.0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "55.35714285714286" - ], - "split": "train" - }, - { - "Input": "if albert \u2019 s monthly earnings rise by 14 % , he would earn $ 678 . if , instead , his earnings rise by only 15 % , how much ( in $ ) would he earn this month ?", - "Output Program": [ - "n0 = 14.0\nn1 = 678.0\nn2 = 15.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = n1 / t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "683.9473684210525" - ], - "split": "train" - }, - { - "Input": "at an election 2 candidates are participated a candidate got 30 % of votes and defeated by 5000 votes . 100 votes are invalid . find the total polled votes ?", - "Output Program": [ - "n0 = 2.0\nn1 = 30.0\nn2 = 5000.0\nn3 = 100.0\nt0 = n3 - n1\nt1 = t0 - n1\nt2 = n2 / t1\nt3 = t2 * 100.0\nanswer = t3 + 100.0\nprint(answer)" - ], - "Output Answer": [ - "12600" - ], - "split": "train" - }, - { - "Input": "if a large pizza has a radius that is 10 % larger that that of a medium pizza , what is the percent increase in area between a medium and a large pizza ?", - "Output Program": [ - "n0 = 10.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "21.000000000000018" - ], - "split": "train" - }, - { - "Input": "if price of t . v set is reduced by 18 % , then its sale increases by 88 % , find net effect on sale value", - "Output Program": [ - "n0 = 18.0\nn1 = 88.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t1 / 100.0\nt3 = t0 / 100.0\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "54.15999999999998" - ], - "split": "train" - }, - { - "Input": "a person buys an article at rs . 340 . at what price should he sell the article so as to make a profit of 10 % ?", - "Output Program": [ - "n0 = 340.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "374" - ], - "split": "train" - }, - { - "Input": "how much interest will $ 10,000 earn in 9 months at an annual rate of 6 % ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 9.0\nn2 = 6.0\nt0 = 3.0 / 4.0\nt1 = n2 / 100.0\nt2 = 100.0**min(2.0, 5)\nt3 = t1 * t2\nanswer = t0 * t3\nprint(answer)" - ], - "Output Answer": [ - "450" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sells 20 % of his stock at 10 % profit ans sells the remaining at a loss of 5 % . he incurred an overall loss of rs . 350 . find the total worth of the stock ?", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nn2 = 5.0\nn3 = 350.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 / 100.0\nt3 = 100.0 - n0\nt4 = t3 / 100.0\nt5 = t1 * t2\nt6 = t0 * t4\nt7 = t6 - t5\nanswer = n3 / t7\nprint(answer)" - ], - "Output Answer": [ - "17499.999999999996" - ], - "split": "train" - }, - { - "Input": "p and q invested in a business . the profit earned was divided in the ratio 4 : 6 . if p invested rs 60000 , the amount invested by q is", - "Output Program": [ - "n0 = 4.0\nn1 = 6.0\nn2 = 60000.0\nt0 = n2 / n0\nanswer = n1 * t0\nprint(answer)" - ], - "Output Answer": [ - "90000" - ], - "split": "train" - }, - { - "Input": "the salary of a labourer increase consistently by 40 % per year . if his present salary is rs . 3000 then what will his salary be after 3 years ?", - "Output Program": [ - "n0 = 40.0\nn1 = 3000.0\nn2 = 3.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n2, 5)\nanswer = n1 * t2\nprint(answer)" - ], - "Output Answer": [ - "8231.999999999998" - ], - "split": "train" - }, - { - "Input": "in country z , 10 % of the people do not have a university diploma but have the job of their choice , and 30 % of the people who do not have the job of their choice have a university diploma . if 40 % of the people have the job of their choice , what percent of the people have a university diploma ?", - "Output Program": [ - "n0 = 10.0\nn1 = 30.0\nn2 = 40.0\nt0 = 100.0 - n2\nt1 = n2 - n0\nt2 = n1 * t0\nt3 = t2 / 100.0\nanswer = t3 + t1\nprint(answer)" - ], - "Output Answer": [ - "48" - ], - "split": "train" - }, - { - "Input": "i gain 70 paise on rs . 70 . my gain percent is", - "Output Program": [ - "n0 = 70.0\nn1 = 70.0\nt0 = n0 / 100.0\nt1 = t0 * 100.0\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "1" - ], - "split": "train" - }, - { - "Input": "the price of a t . v . set worth rs . 10000 is to be paid in 20 installments of rs . 1000 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 20.0\nn2 = 1000.0\nn3 = 6.0\n\nanswer = n0 - n2\nprint(answer)" - ], - "Output Answer": [ - "9000" - ], - "split": "train" - }, - { - "Input": "find the principle on a certain sum of money at 5 % per annum for 3 years if the amount being rs . 1120 ?", - "Output Program": [ - "n0 = 5.0\nn1 = 3.0\nn2 = 1120.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "973.913043478261" - ], - "split": "train" - }, - { - "Input": "a candidate got 35 % of the votes polled and he lost to his rival by 2460 votes . how many votes were cast ?", - "Output Program": [ - "n0 = 35.0\nn1 = 2460.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "8199.999999999998" - ], - "split": "train" - }, - { - "Input": "at what rate percent per annum will a sum of money double in 16 years ?", - "Output Program": [ - "n0 = 16.0\n\nanswer = 100.0 / n0\nprint(answer)" - ], - "Output Answer": [ - "6.25" - ], - "split": "train" - }, - { - "Input": "a person borrows rs . 5000 for 2 years at 4 % p . a . simple interest . he immediately lends it to another person at 6 % p . a for 2 years . find his gain in the transaction per year .", - "Output Program": [ - "n0 = 5000.0\nn1 = 2.0\nn2 = 4.0\nn3 = 6.0\nn4 = 2.0\nt0 = n0 * n3\nt1 = n0 * n2\nt2 = n1 * t0\nt3 = n1 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nt6 = t4 - t5\nanswer = t6 / n1\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "shop offered 25 % offer for every shirt , smith bought a shirt at rs . 560 . and what was the shop ' s original selling price ?", - "Output Program": [ - "n0 = 25.0\nn1 = 560.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "746.6666666666666" - ], - "split": "train" - }, - { - "Input": "consider a lady took a loan from a bank at the rate of 12 % p . a . simple interest . after 3 years she had to pay rs . 5400 interest only for the period . the principal amount borrowed by her was", - "Output Program": [ - "n0 = 12.0\nn1 = 3.0\nn2 = 5400.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "15000" - ], - "split": "train" - }, - { - "Input": "john makes $ 55 a week from his job . he earns a raise andnow makes $ 60 a week . what is the % increase ?", - "Output Program": [ - "n0 = 55.0\nn1 = 60.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "9.090909090909092" - ], - "split": "train" - }, - { - "Input": "mr . karan borrowed a certain amount at 6 % per annum simple interest for 9 years . after 9 years , he returned rs . 8310 / - . find out the amount that he borrowed .", - "Output Program": [ - "n0 = 6.0\nn1 = 9.0\nn2 = 9.0\nn3 = 8310.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nanswer = n3 / t2\nprint(answer)" - ], - "Output Answer": [ - "5396.103896103896" - ], - "split": "train" - }, - { - "Input": "a factory has 15 machines of equal efficiency in its factory . the annual manufacturing costs are rs . 42000 & establishment charges are rs . 12000 . the annual output of the company is rs . 70000 . the annual output and manufacturing costs are directly proportional to the number of machines . the shareholders get 12 . 512.5 profit , which is directly proportional to the annual output of the company . if 7 . 147.14 machines remain closed throughout the year , then the % decrease in the amountof profit of the shareholders would be ?", - "Output Program": [ - "n0 = 15.0\nn1 = 42000.0\nn2 = 12000.0\nn3 = 70000.0\nn4 = 12.0\nn5 = 512.5\nn6 = 7.0\nn7 = 147.14\nt0 = n0 + 1.0\nt1 = 1.0 / 2.0\nt2 = n3 - n1\nt3 = t1 * t2\nt4 = t2 - n2\nt5 = t4 - t3\nt6 = t5 / t0\nanswer = t6 / 10.0\nprint(answer)" - ], - "Output Answer": [ - "12.5" - ], - "split": "train" - }, - { - "Input": "reena took a loan of $ . 1200 with simple interest for as many years as the rate of interest . if she paid $ 108 as interest at the end of the loan period , what was the rate of interest ?", - "Output Program": [ - "import math\nn0 = 1200.0\nn1 = 108.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nanswer = math.sqrt(max(0, t1))\nprint(answer)" - ], - "Output Answer": [ - "3" - ], - "split": "train" - }, - { - "Input": "running at the same constant rate , 6 identical machines can produce a total of 270 bottles per minute . at this rate , how many bottles could 16 such machines produce in 4 minutes ?", - "Output Program": [ - "n0 = 6.0\nn1 = 270.0\nn2 = 16.0\nn3 = 4.0\nt0 = n1 / n0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "2880" - ], - "split": "train" - }, - { - "Input": "a , b and c started a business with capitals of rs . 8000 , rs . 10000 and rs . 12000 respectively . at the end of the year , the profit share of b is rs . 3500 . the difference between the profit shares of a and c is ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 10000.0\nn2 = 12000.0\nn3 = 3500.0\nt0 = n2 / n1\nt1 = n0 / n1\nt2 = t0 - t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "1399.9999999999998" - ], - "split": "train" - }, - { - "Input": "a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 % . during the new year season , it further marked up its prices by 25 % of the original retail price . in february , the store then offered a discount of 8 % . what was its profit on the items sold in february ?", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nn2 = 8.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = 100.0 - n2\nt3 = t2 / 100.0\nt4 = t1 / 100.0\nt5 = t0 * t4\nt6 = t3 * t5\nanswer = t6 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "38" - ], - "split": "train" - }, - { - "Input": "a glass was filled with 10 ounces of water , and 0.06 ounce of the water evaporated each day during a 20 - day period . what percent of the original amount of water evaporated during this period ?", - "Output Program": [ - "n0 = 10.0\nn1 = 0.06\nn2 = 20.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "train" - }, - { - "Input": "according to a recent survey report issued by the commerce ministry , government of india , 30 % of the total fdi goes to gujarat and 20 % of this goes to rural areas . if the fdi in gujarat , which goes to urban areas , is $ 72 m , then find the size of fdi in rural andhra pradesh , which attracts 50 % of the fdi that comes to andhra pradesh , which accounts for 20 % of the total fdi ?", - "Output Program": [ - "n0 = 30.0\nn1 = 20.0\nn2 = 72.0\nn3 = 50.0\nn4 = 20.0\nt0 = n0 / 100.0\nt1 = n3 / 100.0\nt2 = n1 / 100.0\nt3 = 100.0 - n1\nt4 = t3 / 100.0\nt5 = t1 * t2\nt6 = t0 * t4\nt7 = n2 / t6\nanswer = t7 * t5\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "last year elaine spent 20 % of her annual earnings on rent . this year she earned 15 % more than last year and she spent 25 % of her annual earnings on rent . the amount she spent on rent this year is what percent of the amount spent on rent last year ?", - "Output Program": [ - "n0 = 20.0\nn1 = 15.0\nn2 = 25.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n2 * t1\nt3 = t2 / n0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "143.74999999999997" - ], - "split": "train" - }, - { - "Input": "if $ 5,000 is invested in an account at a simple annual rate of r percent , the interest is $ 250 . when $ 20,000 is invested at the same interest rate , what is the interest from the investment ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 250.0\nn2 = 20000.0\nt0 = 100.0 * 2.0\nt1 = t0 * 100.0\nt2 = t1 / 4.0\nt3 = n1 * t1\nanswer = t3 / t2\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "train" - }, - { - "Input": "a 18 % stock yielding 8 % is quoted at ?", - "Output Program": [ - "n0 = 18.0\nn1 = 8.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "225" - ], - "split": "train" - }, - { - "Input": "a jar full of whisky contains 40 % alcohol . a part of this whisky is replaced by another containing 19 % alcohol and now the percentage of alcohol was found to be 26 % . the quantity of whisky replaced is :", - "Output Program": [ - "n0 = 40.0\nn1 = 19.0\nn2 = 26.0\nt0 = n0 - n2\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.6666666666666666" - ], - "split": "train" - }, - { - "Input": "in a certain candy store , 22 % of the customers are caught sampling the candy and are charged a small fine , but 10 % of the customers who sample the candy are not caught . what is the total percent of all customers who sample candy ?", - "Output Program": [ - "n0 = 22.0\nn1 = 10.0\nt0 = 100.0 - n1\nt1 = t0 / 100.0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "24.444444444444443" - ], - "split": "train" - }, - { - "Input": "each month , after jill pays for rent , utilities , food , and other necessary expenses , she has one fifth of her net monthly salary left as discretionary income . of this discretionary income , she puts 30 % into a vacation fund , 20 % into savings , and spends 35 % on eating out and socializing . this leaves her with $ 108 dollar , which she typically uses for gifts and charitable causes . what is jill \u2019 s net monthly salary ?", - "Output Program": [ - "n0 = 30.0\nn1 = 20.0\nn2 = 35.0\nn3 = 108.0\nt0 = n0 + n1\nt1 = 2.0 + 3.0\nt2 = n2 + t0\nt3 = t1 * 100.0\nt4 = 100.0 - t2\nt5 = n3 / t4\nanswer = t5 * t3\nprint(answer)" - ], - "Output Answer": [ - "3600" - ], - "split": "train" - }, - { - "Input": "paul has to secure 50 % marks to clear his exam of class 7 th . he got 50 marks and failed by 10 marks . what is the maximum marks ?", - "Output Program": [ - "n0 = 50.0\nn1 = 7.0\nn2 = 50.0\nn3 = 10.0\nt0 = n0 + n3\nt1 = t0 * 100.0\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "shopkeeper rise price by 36 % and gives successive discount of 10 % and 15 % . what is overall % gain or loss ?", - "Output Program": [ - "n0 = 36.0\nn1 = 10.0\nn2 = 15.0\nt0 = n0 + 100.0\nt1 = 100.0 - n2\nt2 = 100.0 - n1\nt3 = t1 / 100.0\nt4 = t2 / 100.0\nt5 = t0 * t4\nt6 = t3 * t5\nanswer = t6 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "4.040000000000006" - ], - "split": "train" - }, - { - "Input": "if the cost price of 165 chocolates is equal to the selling price of 150 chocolates , the gain percent is", - "Output Program": [ - "n0 = 165.0\nn1 = 150.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = 100.0 / t1\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "if 15 % of 30 % of 50 % of a number is 126 , then what is the number ?", - "Output Program": [ - "n0 = 15.0\nn1 = 30.0\nn2 = 50.0\nn3 = 126.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 / 100.0\nt3 = t1 * t2\nt4 = t0 * t3\nanswer = n3 / t4\nprint(answer)" - ], - "Output Answer": [ - "5600" - ], - "split": "train" - }, - { - "Input": "when the price of an article was reduced by 35 % its sale increased by 80 % . what was the net effect on the sale ?", - "Output Program": [ - "n0 = 35.0\nn1 = 80.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 / 100.0\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "17" - ], - "split": "train" - }, - { - "Input": "an error 2 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is", - "Output Program": [ - "n0 = 2.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "4.04" - ], - "split": "train" - }, - { - "Input": "find the principle on a certain sum of money at 5 % per annum for 4 years if the amount being rs . 1120 ?", - "Output Program": [ - "n0 = 5.0\nn1 = 4.0\nn2 = 1120.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "933.3333333333334" - ], - "split": "train" - }, - { - "Input": "a sum was put at simple interest at a certain rate for 3 years had it been put at 3 % higher rate , it would have fetched 81 more . find the sum .", - "Output Program": [ - "n0 = 3.0\nn1 = 3.0\nn2 = 81.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "900" - ], - "split": "train" - }, - { - "Input": "the total cost of 100 paper plates and 200 paper cups is $ 6.00 at the same rates what is the total cost of 20 of the plates and 40 of the cups ?", - "Output Program": [ - "n0 = 100.0\nn1 = 200.0\nn2 = 6.0\nn3 = 20.0\nn4 = 40.0\nt0 = n3 / n0\nanswer = n2 * t0\nprint(answer)" - ], - "Output Answer": [ - "1.2000000000000002" - ], - "split": "train" - }, - { - "Input": "if a radio is purchased for rs 490 and sold for rs 465.50 find the loss % ?", - "Output Program": [ - "n0 = 490.0\nn1 = 465.5\nt0 = n0 - n1\nt1 = t0 * 100.0\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "a bookstore has a shelf that contains biographies which normally sell for $ 20 each and mysteries that normally sell for $ 12 each . during a sale , the biographies and mysteries are discounted at different rates so that a customer saves a total of $ 19 from the normal price by buying 5 discounted biographies and 3 discounted mysteries . if the sum of the discount rates for the two types of books is 43 percent , what is the discount rate on mysteries ?", - "Output Program": [ - "n0 = 20.0\nn1 = 12.0\nn2 = 19.0\nn3 = 5.0\nn4 = 3.0\nn5 = 43.0\nt0 = n0 + n5\nt1 = n0 * 2.0\nt2 = t0 + 1.0\nt3 = t1 / t2\nt4 = 1.0 - t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "37.5" - ], - "split": "train" - }, - { - "Input": "by selling an article at rs . 800 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 25 % ?", - "Output Program": [ - "n0 = 800.0\nn1 = 25.0\nn2 = 25.0\nt0 = n1 + 100.0\nt1 = n0 * 100.0\nt2 = t1 / t0\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "480" - ], - "split": "train" - }, - { - "Input": "a man sold 20 articles for $ 60 and gained 20 % . how many articles should he sell for $ 90 to incur a loss 20 % ?", - "Output Program": [ - "n0 = 20.0\nn1 = 60.0\nn2 = 20.0\nn3 = 90.0\nn4 = 20.0\nt0 = n1 * 100 / (100 + n0) # original_price_before gain\nt1 = n3 * 100 / (100 + 1e-5 - n0) # original price before loss\nt2 = t0 / n0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "44.999994375000696" - ], - "split": "train" - }, - { - "Input": "a candidate got 31 % of the votes polled and he lost to his rival by 2451 votes . how many votes were cast ?", - "Output Program": [ - "n0 = 31.0\nn1 = 2451.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "6450.000000000001" - ], - "split": "train" - }, - { - "Input": "an inspector rejects 10 % of the meters as defective . how many will he examine to reject 10 ?", - "Output Program": [ - "n0 = 10.0\nn1 = 10.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "shawn invested one half of his savings in a bond that paid simple interest for 2 years and received $ 550 as interest . he invested the remaining in a bond that paid compound interest , interest being compounded annually , for the same 2 years at the same rate of interest and received $ 605 as interest . what was the value of his total savings before investing in these two bonds ?", - "Output Program": [ - "n0 = 2.0\nn1 = 550.0\nn2 = 2.0\nn3 = 605.0\nt0 = n1 / n0\nt1 = n3 - n1\nt2 = t0 * t0\nt3 = t2 / t1\nanswer = n0 * t3\nprint(answer)" - ], - "Output Answer": [ - "2750" - ], - "split": "train" - }, - { - "Input": "in some quantity of ghee , 60 % of pure ghee and 40 % of is vanaspati . if 10 kg of pure ghee is added , then the strength of vanaspati ghee becomes 20 % . the original quantity was ?", - "Output Program": [ - "n0 = 60.0\nn1 = 40.0\nn2 = 10.0\nn3 = 20.0\nt0 = n3 / 100.0\nt1 = n1 / 100.0\nt2 = n2 * t0\nt3 = t1 - t0\nanswer = t2 / t3\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "some of 50 % - intensity red paint is replaced with 25 % solution of red paint such that the new paint intensity is 35 % . what fraction of the original paint was replaced ?", - "Output Program": [ - "n0 = 50.0\nn1 = 25.0\nn2 = 35.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 - t1\nt4 = t2 - t1\nanswer = t3 / t4\nprint(answer)" - ], - "Output Answer": [ - "0.6000000000000001" - ], - "split": "train" - }, - { - "Input": "what profit percent is made by selling an article at a certain price , if by selling at 2 / 3 rd of that price , there would be a loss of 18 % ?", - "Output Program": [ - "n0 = 2.0\nn1 = 3.0\nn2 = 18.0\nt0 = n0 / n1\nt1 = 100.0 - n2\nt2 = t1 / t0\nanswer = t2 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "23" - ], - "split": "train" - }, - { - "Input": "by selling an article at rs . 800 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 40 % ?", - "Output Program": [ - "n0 = 800.0\nn1 = 25.0\nn2 = 40.0\nt0 = n1 + 100.0\nt1 = n0 * 100.0\nt2 = t1 / t0\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "384" - ], - "split": "train" - }, - { - "Input": "milk contains 10 % water . what content of pure milk should be added to 20 liters of milk to reduce this to 5 % ?", - "Output Program": [ - "n0 = 10.0\nn1 = 20.0\nn2 = 5.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 * t0\nt3 = t2 / t1\nanswer = t3 - n1\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "consider a lady took a loan from a bank at the rate of 12 % p . a . simple interest . after 3 years she had to pay rs . 7200 interest only for the period . the principal amount borrowed by her was", - "Output Program": [ - "n0 = 12.0\nn1 = 3.0\nn2 = 7200.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "20000" - ], - "split": "train" - }, - { - "Input": "the sale price of an article including the sales tax is rs . 616 . the rate of sales tax is 10 % . if the shopkeeper has made a profit of 13 % , then the cost price of the article is :", - "Output Program": [ - "n0 = 616.0\nn1 = 10.0\nn2 = 13.0\nt0 = n1 + 100.0\nt1 = n2 + 100.0\nt2 = n0 * 100.0\nt3 = t2 / t0\nt4 = t0 * t3\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "545.1327433628319" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article offering a discount of 4 % and earned a profit of 20 % . what would have been the percentage of profit earned if no discount was offered ?", - "Output Program": [ - "n0 = 4.0\nn1 = 20.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * 100.0\nt3 = t2 / t1\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "a broker invested her own money in the stock market . during the first year , she increased her stock market wealth by 75 percent . in the second year , largely as a result of a slump in the stock market , she suffered a 30 percent decrease in the value of her stock investments . what was the net increase or decrease on her overall stock investment wealth by the end of the second year ?", - "Output Program": [ - "n0 = 75.0\nn1 = 30.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "22.499999999999986" - ], - "split": "train" - }, - { - "Input": "a reduction of 30 % in the price of oil enables a house wife to obtain 9 kgs more for rs . 900 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 30.0\nn1 = 9.0\nn2 = 900.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "$ 500 will become $ 1000 in 5 years find the rate of interest ?", - "Output Program": [ - "n0 = 500.0\nn1 = 1000.0\nn2 = 5.0\nt0 = n2 / 100.0\nt1 = n1 - n0\nt2 = n0 * t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "a man buys rs . 20 shares paying 9 % dividend . the man wants to have an interest of 12 % on his money . what is the market value of each share ?", - "Output Program": [ - "n0 = 20.0\nn1 = 9.0\nn2 = 12.0\nt0 = 100.0 / n2\nt1 = n1 / 100.0\nt2 = n0 * t1\nanswer = t0 * t2\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 400 after successive discount is 10 % and 8 % is ?", - "Output Program": [ - "n0 = 400.0\nn1 = 10.0\nn2 = 8.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "331.2" - ], - "split": "train" - }, - { - "Input": "two friends plan to walk along a 36 - km trail , starting at opposite ends of the trail at the same time . if friend p ' s rate is 25 % faster than friend q ' s , how many kilometers will friend p have walked when they pass each other ?", - "Output Program": [ - "n0 = 36.0\nn1 = 25.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t1 + 1.0\nt3 = n0 / t2\nanswer = t1 * t3\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "x and y started a business with capitals rs . 20000 and rs . 25000 . after few months z joined them with a capital of rs . 30000 . if the share of z in the annual profit of rs . 50000 is rs . 14000 , then after how many months from the beginning did z join ?", - "Output Program": [ - "n0 = 20000.0\nn1 = 25000.0\nn2 = 30000.0\nn3 = 50000.0\nn4 = 14000.0\nt0 = n0 + n1\nt1 = n4 / n3\nt2 = t0 * 12.0\nt3 = 1.0 - t1\nt4 = t1 * t2\nt5 = t4 / t3\nt6 = t5 / n2\nanswer = 12.0 - t6\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "an error 17 % in excess is made while measuring the side of a square . now what is the percentage of error in the calculated area of the square ?", - "Output Program": [ - "n0 = 17.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "36.89" - ], - "split": "train" - }, - { - "Input": "3 candidates in an election and received 1036 , 4636 and 11628 votes respectively . what % of the total votes did the winning candidate gotin that election ?", - "Output Program": [ - "n0 = 3.0\nn1 = 1036.0\nn2 = 4636.0\nn3 = 11628.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = n3 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "67.21387283236994" - ], - "split": "train" - }, - { - "Input": "find the amount on rs . 5000 in 2 years , the rate of interest being 2 % per first year and 3 % for the second year ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 2.0\nn2 = 2.0\nn3 = 3.0\nt0 = n3 + 100.0\nt1 = n2 + 100.0\nt2 = n0 * t1\nt3 = t2 / 100.0\nt4 = t0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "5253" - ], - "split": "train" - }, - { - "Input": "find the missing figures : 0.25 % of ? = 0.04", - "Output Program": [ - "n0 = 0.25\nn1 = 0.04\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "cricket match is conducted in us . the run rate of a cricket game was only 3.2 in first 10 over . what should be the run rate in the remaining 40 overs to reach the target of 262 runs ?", - "Output Program": [ - "n0 = 3.2\nn1 = 10.0\nn2 = 40.0\nn3 = 262.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "5.75" - ], - "split": "train" - }, - { - "Input": "in 1998 the profits of company n were 10 percent of revenues . in 1999 , the revenues of company n fell by 20 percent , but profits were 12 percent of revenues . the profits in 1999 were what percent of the profits in 1998 ?", - "Output Program": [ - "n0 = 1998.0\nn1 = 10.0\nn2 = 1999.0\nn3 = 20.0\nn4 = 12.0\nn5 = 1999.0\nn6 = 1998.0\nt0 = n4 / 100.0\nt1 = n3 / 100.0\nt2 = n1 / 100.0\nt3 = 1.0 - t1\nt4 = t0 * t3\nt5 = t4 / t2\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "96" - ], - "split": "train" - }, - { - "Input": "a man ' s basic pay for a 40 hour week is rs . 20 . overtime is paid for at 25 % above the basic rate . in a certain week he worked overtime and his total wage was rs . 25 . he therefore worked for a total of :", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nn2 = 25.0\nn3 = 25.0\nt0 = n2 + 100.0\nt1 = n1 / n0\nt2 = n2 - n1\nt3 = t0 / 100.0\nt4 = t1 * t3\nt5 = t2 / t4\nanswer = n0 + t5\nprint(answer)" - ], - "Output Answer": [ - "48" - ], - "split": "train" - }, - { - "Input": "20 percent of the women in a college class are science majors , and the non - science majors make up 60 % of the class . what percentage of the men are science majors if 40 % of the class are men ?", - "Output Program": [ - "n0 = 20.0\nn1 = 60.0\nn2 = 40.0\nt0 = 100.0 - n0\nt1 = 100.0 - n2\nt2 = t0 / 100.0\nt3 = t2 * t1\nt4 = n1 - t3\nt5 = n2 - t4\nt6 = t5 / n2\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "70" - ], - "split": "train" - }, - { - "Input": "if the cost price is 90 % of the selling price , then what is the profit percent ?", - "Output Program": [ - "n0 = 90.0\nt0 = 100.0 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "11.11111111111111" - ], - "split": "train" - }, - { - "Input": "a , b and c enter into partnership . a invests some money at the beginning , b invests double the amount after 6 months , and c invests thrice the amount after 8 months . if the annual gain be rs . 21000 . a ' s share is ?", - "Output Program": [ - "n0 = 6.0\nn1 = 8.0\nn2 = 21000.0\nt0 = 1.0 * 12.0\nt1 = 12.0 - n0\nt2 = 12.0 - n1\nt3 = t1 * 2.0\nt4 = t2 * 3.0\nt5 = t0 + t3\nt6 = t5 + t4\nt7 = n2 / t6\nanswer = t7 * t0\nprint(answer)" - ], - "Output Answer": [ - "7000" - ], - "split": "train" - }, - { - "Input": "a car dealership has 40 cars on the lot , 20 % of which are silver . if the dealership receives a new shipment of 80 cars , 50 % of which are not silver , what percentage of total number of cars are silver ?", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nn2 = 80.0\nn3 = 50.0\nt0 = n0 + n2\nt1 = n1 / 100.0\nt2 = n3 / 100.0\nt3 = n0 * t1\nt4 = n2 * t2\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "how many pounds of salt at 50 cents / lb must be mixed with 40 lbs of salt that costs 38 cents / lb so that a merchant will get 20 % profit by selling the mixture at 48 cents / lb ?", - "Output Program": [ - "n0 = 50.0\nn1 = 40.0\nn2 = 38.0\nn3 = 20.0\nn4 = 48.0\nt0 = n3 + 100.0\nt1 = n1 * n4\nt2 = n1 * n2\nt3 = t0 / 100.0\nt4 = t3 * t2\nt5 = n0 * t3\nt6 = t1 - t4\nt7 = t5 - n4\nanswer = t6 / t7\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "if 5 % more is gained by selling an article for rs . 350 than by selling it for rs . 340 , the cost of the article is ?", - "Output Program": [ - "n0 = 5.0\nn1 = 350.0\nn2 = 340.0\nt0 = n0 / 100.0\nt1 = n1 - n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "an article with cost price of 180 is sold at 15 % profit . what is the selling price ?", - "Output Program": [ - "n0 = 180.0\nn1 = 15.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "207" - ], - "split": "train" - }, - { - "Input": "seed mixture x is 40 percent ryegrass and 60 percent bluegrass by weight ; seed mixture y is 25 percent ryegrass and 75 % fescue . if a mixture of x and y contains 30 % ryegrass , what percent of the weight of the mixture is x ?", - "Output Program": [ - "n0 = 40.0\nn1 = 60.0\nn2 = 25.0\nn3 = 75.0\nn4 = 30.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n4 - n2\nt3 = t0 - t1\nanswer = t2 / t3\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "train" - }, - { - "Input": "a merchant marks his goods up by 40 % and then offers a discount of 10 % on the marked price . what % profit does the merchant make after the discount ?", - "Output Program": [ - "n0 = 40.0\nn1 = 10.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "26" - ], - "split": "train" - }, - { - "Input": "money invested at x % , compounded annually , triples in value in approximately every 112 / x years . if $ 1800 is invested at a rate of 8 % , compounded annually , what will be its approximate worth in 28 years ?", - "Output Program": [ - "n0 = 112.0\nn1 = 1800.0\nn2 = 8.0\nn3 = 28.0\nt0 = n0 / n2\nt1 = n3 / t0\nt2 = 3.0**min(t1, 5)\nanswer = n1 * t2\nprint(answer)" - ], - "Output Answer": [ - "16200" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article offering a discount of 5 % and earned a profit of 23.5 % . what would have been the percentage of profit earned if no discount had been offered ?", - "Output Program": [ - "n0 = 5.0\nn1 = 23.5\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * 100.0\nt3 = t2 / t1\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "the mean daily profit made by a shopkeeper in a month of 30 days was rs . 350 . if the mean profit for the first fifteen days was rs . 285 , then the mean profit for the last 15 days would be", - "Output Program": [ - "n0 = 30.0\nn1 = 350.0\nn2 = 285.0\nn3 = 15.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 - t1\nanswer = t2 / n3\nprint(answer)" - ], - "Output Answer": [ - "415" - ], - "split": "train" - }, - { - "Input": "in the first 7 overs of a cricket game , the run rate was only 4.2 . what should be the rate in the remaining 30 overs to reach the target of 282 runs ?", - "Output Program": [ - "n0 = 7.0\nn1 = 4.2\nn2 = 30.0\nn3 = 282.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "8.42" - ], - "split": "train" - }, - { - "Input": "200 is increased by 25 % . find the final number .", - "Output Program": [ - "n0 = 200.0\nn1 = 25.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "250" - ], - "split": "train" - }, - { - "Input": "4 weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 12 weavers in 12 days ?", - "Output Program": [ - "n0 = 4.0\nn1 = 4.0\nn2 = 4.0\nn3 = 12.0\nn4 = 12.0\nt0 = n0 * n0\nt1 = n0 / t0\nt2 = n3 * t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "36" - ], - "split": "train" - }, - { - "Input": "how much 60 % of 50 is greater than 42 % of 30 ?", - "Output Program": [ - "n0 = 60.0\nn1 = 50.0\nn2 = 42.0\nn3 = 30.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "17.4" - ], - "split": "train" - }, - { - "Input": "uncle bruce is baking chocolate chip cookies . he has 36 ounces of dough ( with no chocolate ) and 13 ounces of chocolate . how many ounces of chocolate are left over if he uses all the dough but only wants the cookies to consist of 20 % chocolate ?", - "Output Program": [ - "n0 = 36.0\nn1 = 13.0\nn2 = 20.0\nt0 = n2 / 100.0\nanswer = n2 * t0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "the present population of a town is 220 . population increase rate is 10 % p . a . find the population of town after 1 years ?", - "Output Program": [ - "n0 = 220.0\nn1 = 10.0\nn2 = 1.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "242" - ], - "split": "train" - }, - { - "Input": "the true discount on a bill due 9 months hence at 16 % per annum is rs . 270 . the amount of the bill is", - "Output Program": [ - "n0 = 9.0\nn1 = 16.0\nn2 = 270.0\nt0 = 3.0 * 4.0\nt1 = n0 / t0\nt2 = n1 * t1\nt3 = t2 / 100.0\nt4 = n2 / t3\nanswer = n2 + t4\nprint(answer)" - ], - "Output Answer": [ - "2520" - ], - "split": "train" - }, - { - "Input": "if 40 % of 3 / 5 of a number is 36 , then the number is ?", - "Output Program": [ - "n0 = 40.0\nn1 = 3.0\nn2 = 5.0\nn3 = 36.0\nt0 = n0 / 100.0\nt1 = n1 / n2\nt2 = t0 * t1\nanswer = n3 / t2\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "ron has had 3 pay cuts in her salary in the past 6 months . if the first pay cut was 5 % , the second pay cut was 10 % and the third was 15 % . what will be the percentage decrease , if the salary is decreased in a single shot ?", - "Output Program": [ - "n0 = 3.0\nn1 = 6.0\nn2 = 5.0\nn3 = 10.0\nn4 = 15.0\nt0 = n3 / 100.0\nt1 = n4 / 100.0\nt2 = 100.0 - n2\nt3 = t0 * t2\nt4 = t2 - t3\nt5 = t1 * t4\nt6 = t4 - t5\nanswer = 100.0 - t6\nprint(answer)" - ], - "Output Answer": [ - "27.325000000000003" - ], - "split": "train" - }, - { - "Input": "fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 8.55 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discount rates is 22 percent , what is the discount rate on pony jeans ?", - "Output Program": [ - "n0 = 15.0\nn1 = 18.0\nn2 = 8.55\nn3 = 5.0\nn4 = 3.0\nn5 = 2.0\nn6 = 22.0\nt0 = n6 / 100.0\nt1 = n1 * n5\nt2 = n0 * n4\nt3 = t0 * t1\nt4 = t2 - t1\nt5 = n2 - t3\nt6 = t5 / t4\nt7 = t0 - t6\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "14.999999999999991" - ], - "split": "train" - }, - { - "Input": "a present value of a machine is $ 700 . its value depletion rate is 10 % per annum then find the machine value after 2 years ?", - "Output Program": [ - "n0 = 700.0\nn1 = 10.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "567" - ], - "split": "train" - }, - { - "Input": "in town x , 96 percent of the population are employed , and 24 percent of the population are employed males . what percent of the employed people in town x are females ?", - "Output Program": [ - "n0 = 96.0\nn1 = 24.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "train" - }, - { - "Input": "if 45 % of z is 90 % of y and y is 75 % of x , what percent of x is z ?", - "Output Program": [ - "n0 = 45.0\nn1 = 90.0\nn2 = 75.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t1 / t2\nt4 = t0 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "a is a working partner and b is a sleeping partner in a business . a puts in 50,000 and b 60,000 . a gets 12.5 % of the profit for managing the business , and the rest is divided in proportion to their capitals . find the share of a in profit of 8800 .", - "Output Program": [ - "n0 = 50000.0\nn1 = 60000.0\nn2 = 12.5\nn3 = 8800.0\nt0 = 2.0 + 3.0\nt1 = 2.0 + 4.0\nt2 = n2 * n3\nt3 = t0 + t1\nt4 = t2 / 100.0\nt5 = n3 - t4\nt6 = t0 * t5\nt7 = t6 / t3\nanswer = t7 + t4\nprint(answer)" - ], - "Output Answer": [ - "4600" - ], - "split": "train" - }, - { - "Input": "running at the same constant rate , 6 identical machines can produce a total of 270 bottles per minute . at this rate , how many bottles could 20 such machines produce in 4 minutes ?", - "Output Program": [ - "n0 = 6.0\nn1 = 270.0\nn2 = 20.0\nn3 = 4.0\nt0 = n1 / n0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "3600" - ], - "split": "train" - }, - { - "Input": "jill invests $ 10000 in an account that pays an annual rate of 3.96 % , compounding semi - annually . approximately how much t does she have in her account after two years ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 3.96\nt0 = n1 / 100.0\nt1 = t0 / 2.0\nt2 = t1 + 1.0\nt3 = t2**min(4.0, 5)\nanswer = n0 * t3\nprint(answer)" - ], - "Output Answer": [ - "10815.834432633617" - ], - "split": "train" - }, - { - "Input": "a retailer buys 120 pens at the market price of 36 pens from a wholesaler , if he sells these pens giving a discount of 1 % , what is the profit % ?", - "Output Program": [ - "n0 = 120.0\nn1 = 36.0\nn2 = 1.0\nt0 = n2 / 100.0\nt1 = n1 / n0\nt2 = n2 - t0\nt3 = t2 - t1\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "229.99999999999997" - ], - "split": "train" - }, - { - "Input": "there is 60 lit of milk and water in which milk forms 84 % . howmuch water must be added to this solution to make it solution in which milk forms 68 %", - "Output Program": [ - "n0 = 60.0\nn1 = 84.0\nn2 = 68.0\nt0 = 100.0 / n2\nt1 = n0 * n1\nt2 = t1 / 100.0\nt3 = t0 * t2\nanswer = t3 - n0\nprint(answer)" - ], - "Output Answer": [ - "14.117647058823536" - ], - "split": "train" - }, - { - "Input": "the simple interest and the true discount on a certain sum for a given time and at a given rate are rs . 88 and rs . 80 respectively . the sum is :", - "Output Program": [ - "n0 = 88.0\nn1 = 80.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "880" - ], - "split": "train" - }, - { - "Input": "if difference between compound interest and simple interest on a sum at 10 % p . a . for 2 years is rs . 51 then sum is", - "Output Program": [ - "n0 = 10.0\nn1 = 2.0\nn2 = 51.0\nt0 = n0 / 100.0\nt1 = t0 * t0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "5099.999999999999" - ], - "split": "train" - }, - { - "Input": "in an examination 35 % of the students passed and 481 failed . how many students appeared for the examination ?", - "Output Program": [ - "n0 = 35.0\nn1 = 481.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "740" - ], - "split": "train" - }, - { - "Input": "calculate how many seconds it will take for 4 bells to toll together again , given that they begin to toll together respectively at the intervals of 9 , 10 , 14 and 18 seconds . ?", - "Output Program": [ - "n0 = 4.0\nn1 = 9.0\nn2 = 10.0\nn3 = 14.0\nn4 = 18.0\nt0 = n3 / 2.0\nt1 = n1 * n2\nanswer = t0 * t1\nprint(answer)" - ], - "Output Answer": [ - "630" - ], - "split": "train" - }, - { - "Input": "75 percent of andrea ' s living room floor is covered by a carpet that is 4 feet by 9 feet . what is the area of her living room floor ?", - "Output Program": [ - "n0 = 75.0\nn1 = 4.0\nn2 = 9.0\nt0 = n0 / 100.0\nt1 = n1 * n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "48" - ], - "split": "train" - }, - { - "Input": "at a small company , 61 percent of the employees are women , and 60 percent of the employees are married . if 2 / 3 of the men are single , what fraction of the women are married ?", - "Output Program": [ - "n0 = 61.0\nn1 = 60.0\nn2 = 2.0\nn3 = 3.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = n2 / n3\nt3 = 1.0 - t1\nt4 = 1.0 - t2\nt5 = t3 * t4\nt6 = t0 - t5\nanswer = t6 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.7704918032786885" - ], - "split": "train" - }, - { - "Input": "in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the rate in the remaining 40 overs to reach the target of 252 runs ?", - "Output Program": [ - "n0 = 10.0\nn1 = 3.2\nn2 = 40.0\nn3 = 252.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "5.5" - ], - "split": "train" - }, - { - "Input": "at what price must an article costing rs . 85.5 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 25 % on the cost price ?", - "Output Program": [ - "n0 = 85.5\nn1 = 5.0\nn2 = 25.0\nt0 = n0 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 + t2\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "112.5" - ], - "split": "train" - }, - { - "Input": "sam invested rs . 3000 @ 10 % per annum for one year . if the interest is compounded half - yearly , then the amount received by sam at the end of the year will be ?", - "Output Program": [ - "n0 = 3000.0\nn1 = 10.0\nt0 = n1 / 2.0\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nt3 = t2**min(2.0, 5)\nanswer = n0 * t3\nprint(answer)" - ], - "Output Answer": [ - "3307.5" - ], - "split": "train" - }, - { - "Input": "in how many years rs 200 will produce the same interest at 10 % as rs . 1000 produce in 2 years at 12 %", - "Output Program": [ - "n0 = 200.0\nn1 = 10.0\nn2 = 1000.0\nn3 = 2.0\nn4 = 12.0\nt0 = n1 / 100.0\nt1 = n2 * n4\nt2 = t1 / 100.0\nt3 = n0 * t0\nt4 = n3 * t2\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "train" - }, - { - "Input": "a store \u2019 s selling price of $ 2240 for a certain computer would yield a profit of 40 percent of the store \u2019 s cost for the computer . what selling price would yield a profit of 60 percent of the computer \u2019 s cost ?", - "Output Program": [ - "n0 = 2240.0\nn1 = 40.0\nn2 = 60.0\nt0 = n2 + 100.0\nt1 = n1 + 100.0\nt2 = t0 / t1\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "2560" - ], - "split": "train" - }, - { - "Input": "find the compound interest on $ 30000 in 2 years at 4 % per annum , the interest being compounded half - yearly ?", - "Output Program": [ - "n0 = 30000.0\nn1 = 2.0\nn2 = 4.0\nt0 = n2 / 100.0\nt1 = t0 / n1\nt2 = t1 + 1.0\nt3 = t2**min(n2, 5)\nt4 = n0 * t3\nanswer = t4 - n0\nprint(answer)" - ], - "Output Answer": [ - "2472.964799999998" - ], - "split": "train" - }, - { - "Input": "of the 600 residents of clermontville , 35 % watch the television show island survival , 40 % watch lovelost lawyers and 50 % watch medical emergency . if all residents watch at least one of these 3 shows and 18 % watch exactly 2 of these shows , then how many clermontville residents z watch all of the shows ?", - "Output Program": [ - "n0 = 600.0\nn1 = 35.0\nn2 = 40.0\nn3 = 50.0\nn4 = 3.0\nn5 = 18.0\nn6 = 2.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = n5 / 100.0\nt4 = n0 * t0\nt5 = n0 * t1\nt6 = n0 * t2\nt7 = n0 * t3\nt8 = t4 + t5\nt9 = t8 + t6\nt10 = t9 - n0\nt11 = t10 - t7\nanswer = t11 / n6\nprint(answer)" - ], - "Output Answer": [ - "21" - ], - "split": "train" - }, - { - "Input": "if 65 % of a number is greater than 5 % of 60 by 23 , what is the number ?", - "Output Program": [ - "n0 = 65.0\nn1 = 5.0\nn2 = 60.0\nn3 = 23.0\nt0 = n2 / 100.0\nt1 = n1 * t0\nt2 = n3 + t1\nt3 = t2 / n0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "20 % of a 6 litre solution and 60 % of 4 litre solution are mixed . what percentage of the mixture of solution", - "Output Program": [ - "n0 = 20.0\nn1 = 6.0\nn2 = 60.0\nn3 = 4.0\nt0 = n1 + n3\nt1 = n2 * n3\nt2 = n0 * n1\nt3 = t1 / 100.0\nt4 = t2 / 100.0\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "36" - ], - "split": "train" - }, - { - "Input": "population of a city decreases by 10 % at the end of first year and increases by 10 % at the end of second year and again decreases by 10 % at the end of third year . if the population of the city at the end of third year is 4455 , then what was the population of the city at the beginning of the first year ?", - "Output Program": [ - "n0 = 10.0\nn1 = 10.0\nn2 = 10.0\nn3 = 4455.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = 1.0 - t0\nt3 = t1 * t2\nt4 = t3 * t2\nanswer = n3 / t4\nprint(answer)" - ], - "Output Answer": [ - "4999.999999999999" - ], - "split": "train" - }, - { - "Input": "a bag marked at $ 240 is sold for $ 120 . the rate of discount is ?", - "Output Program": [ - "n0 = 240.0\nn1 = 120.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a man buy a book in rs 50 & sale it rs 100 . what is the rate of profit ? ? ?", - "Output Program": [ - "n0 = 50.0\nn1 = 100.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "a group of students was interviewed for that if it was asked whether or not they speak french and / or english . among those who speak french , 20 speak english well , while 60 of them do not speak english . if 60 % of students do not speak french , how many students were surveyed ?", - "Output Program": [ - "n0 = 20.0\nn1 = 60.0\nn2 = 60.0\nt0 = n0 + n1\nt1 = 100.0 - n2\nt2 = t1 / 100.0\nanswer = t0 / t2\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "a 15 % stock yielding 12 % is quoted at :", - "Output Program": [ - "n0 = 15.0\nn1 = 12.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "125.00000000000001" - ], - "split": "train" - }, - { - "Input": "on june 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 2 for each of the past 5 months . if the stock continues to decrease at the same rate for the rest of the year , how many fewer bicycles will be in stock on september 1 than were in stock on january 1 ?", - "Output Program": [ - "n0 = 1.0\nn1 = 2.0\nn2 = 5.0\nn3 = 1.0\nn4 = 1.0\nt0 = 10.0 - n0\nanswer = n1 * t0\nprint(answer)" - ], - "Output Answer": [ - "18" - ], - "split": "train" - }, - { - "Input": "a sum fetched a total simple interest of 4020.75 at the rate of 9 % . p . a . in 5 years . what is the sum ?", - "Output Program": [ - "n0 = 4020.75\nn1 = 9.0\nn2 = 5.0\nt0 = n0 * 100.0\nt1 = t0 / n1\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "8935" - ], - "split": "train" - }, - { - "Input": "one night 15 percent of the female officers on a police force were on duty . if 300 officers were on duty that night and half of these were female officers , how many female officers were on the police force ?", - "Output Program": [ - "n0 = 15.0\nn1 = 300.0\nt0 = n1 / 2.0\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "train" - }, - { - "Input": "a and b \u2019 s salaries together amount to rs . 4,000 . a spends 95 % of his salary and b spends 85 % of his . if now their savings are the same , what is a \u2019 s salary ?", - "Output Program": [ - "n0 = 4000.0\nn1 = 95.0\nn2 = 85.0\nt0 = 2.0 + 3.0\nt1 = n2 / 100.0\nt2 = n1 / 100.0\nt3 = t0 * 4.0\nt4 = 1.0 - t1\nt5 = 1.0 - t2\nt6 = t5 + t4\nt7 = t3 * 2.0\nt8 = t7 * 100.0\nt9 = t8 * t4\nanswer = t9 / t6\nprint(answer)" - ], - "Output Answer": [ - "2999.9999999999995" - ], - "split": "train" - }, - { - "Input": "john invests $ x at the semi - annual constant compounded rate of 2 percent and also does $ 40,000 at the quarterly constant compounded rate of 4 percent . if the interests are the same after 1 year , what is the value of x ? ?", - "Output Program": [ - "n0 = 2.0\nn1 = 40000.0\nn2 = 4.0\nn3 = 1.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = 100.0 * 4.0\nt3 = t0 / 4.0\nt4 = t1 / 2.0\nt5 = t2 * 100.0\nt6 = t3 + 1.0\nt7 = t4 + 1.0\nt8 = t6**min(4.0, 5)\nt9 = t7**min(2.0, 5)\nt10 = t5 * t8\nt11 = t9 - 1.0\nt12 = t10 - t5\nanswer = t12 / t11\nprint(answer)" - ], - "Output Answer": [ - "80804" - ], - "split": "train" - }, - { - "Input": "find the principle on a certain sum of money at 5 % per annum for 6 years if the amount being rs . 1120 ?", - "Output Program": [ - "n0 = 5.0\nn1 = 6.0\nn2 = 1120.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "861.5384615384615" - ], - "split": "train" - }, - { - "Input": "what sum of money will produce rs . 210 as simple interest in 4 years at 3 1 / 2 percent ?", - "Output Program": [ - "n0 = 210.0\nn1 = 4.0\nn2 = 3.0\nn3 = 1.0\nn4 = 2.0\nt0 = n3 / n4\nt1 = n2 + t0\nt2 = n1 * t1\nt3 = t2 / 100.0\nanswer = n0 / t3\nprint(answer)" - ], - "Output Answer": [ - "1499.9999999999998" - ], - "split": "train" - }, - { - "Input": "i sold a book at a profit of 10 % . had i sold it for $ 90 more , 15 % would have been gained . find the cost price ?", - "Output Program": [ - "n0 = 10.0\nn1 = 90.0\nn2 = 15.0\nt0 = n0 * n1\nt1 = n2 - n0\nt2 = t0 / t1\nt3 = t2 * 100.0\nanswer = t3 / n0\nprint(answer)" - ], - "Output Answer": [ - "1800" - ], - "split": "train" - }, - { - "Input": "by selling 200 apples , a fruit - seller gains the selling price of 50 apples . find the gain percent ?", - "Output Program": [ - "n0 = 200.0\nn1 = 50.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "train" - }, - { - "Input": "by selling 12 pens for a rupee a woman loses 20 % . how many for a rupee should he sell in order to gain 20 % ?", - "Output Program": [ - "n0 = 12.0\nn1 = 20.0\nn2 = 20.0\nt0 = 100.0 - n1\nt1 = 100.0 / t0\nt2 = t1 / n0\nt3 = n2 * t2\nt4 = t3 / 100.0\nt5 = t2 + t4\nanswer = 1 / t5\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "when the price of an article was reduced by 40 % its sale increased by 80 % . what was the net effect on the sale ?", - "Output Program": [ - "n0 = 40.0\nn1 = 80.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 / 100.0\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "an investor deposited $ 5,000 to open a new savings account that earned 4 percent annual interest , compounded quarterly . if there were no other transactions in the account , what was the amount of money in the account 6 months after the account was opened ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 4.0\nn2 = 6.0\nt0 = 2.0 + 3.0\nt1 = n1 / 4.0\nt2 = t1 / 100.0\nt3 = t0 * 100.0\nt4 = t0 * 2.0\nt5 = t2 + 1.0\nt6 = t3 * t4\nt7 = t5**min(2.0, 5)\nanswer = t6 * t7\nprint(answer)" - ], - "Output Answer": [ - "5100.5" - ], - "split": "train" - }, - { - "Input": "jim is able to sell a hand - carved statue for $ 550 which was a 35 % profit over his cost . how much did the statue originally cost him ?", - "Output Program": [ - "n0 = 550.0\nn1 = 35.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "407.4074074074074" - ], - "split": "train" - }, - { - "Input": "the interest on a certain deposit at 5 % per annum is rs . 101.20 in one year . how much will the additional interest in one year be on the same deposit at 6 % per annum ?", - "Output Program": [ - "n0 = 5.0\nn1 = 101.2\nn2 = 6.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = n2 * t1\nt3 = t2 / 100.0\nanswer = t3 - n1\nprint(answer)" - ], - "Output Answer": [ - "20.239999999999995" - ], - "split": "train" - }, - { - "Input": "in an election , candidate a got 65 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favor of candidate .", - "Output Program": [ - "n0 = 65.0\nn1 = 15.0\nn2 = 560000.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = 1.0 - t1\nt3 = n2 * t2\nanswer = t0 * t3\nprint(answer)" - ], - "Output Answer": [ - "309400" - ], - "split": "train" - }, - { - "Input": "the profit obtained by selling an article for rs . 86 is the same as the loss obtained by selling it for rs . 42 . what is the cost price of the article ?", - "Output Program": [ - "n0 = 86.0\nn1 = 42.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "64" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article at $ 100 with 15 % profit . then find its cost price ?", - "Output Program": [ - "n0 = 100.0\nn1 = 15.0\nt0 = n1 + n0\nt1 = n0 / t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "86.95652173913044" - ], - "split": "train" - }, - { - "Input": "60 is increased by 50 % . find the final number .", - "Output Program": [ - "n0 = 60.0\nn1 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "90" - ], - "split": "train" - }, - { - "Input": "a retailer bought a machine at a wholesale price of $ 90 and later on sold it after a 10 % discount of the retail price . if the retailer made a profit equivalent to 20 % of the whole price , what is the retail price q of the machine ?", - "Output Program": [ - "n0 = 90.0\nn1 = 10.0\nn2 = 20.0\nt0 = n0 * n2\nt1 = 3.0 * 3.0\nt2 = t0 / 100.0\nt3 = n1 * t1\nt4 = n0 + t2\nt5 = t4 * 100.0\nanswer = t5 / t3\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "100 liter solution of cool - drink is made from 10 % jasmine water . if 5 liters of jasmine and 10 liters of water were added to the solution , what percent of the solution is jasmine ?", - "Output Program": [ - "n0 = 100.0\nn1 = 10.0\nn2 = 5.0\nn3 = 10.0\nt0 = n0 + n1\nt1 = n2 + t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.08695652173913043" - ], - "split": "train" - }, - { - "Input": "in a public show 50 % of the seats were filled . if there were 600 seats in the hall , how many seats were vacant ?", - "Output Program": [ - "n0 = 50.0\nn1 = 600.0\nt0 = 100.0 - n0\nt1 = n1 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "300" - ], - "split": "train" - }, - { - "Input": "a and b are partners in a business . a contributes 1 / 4 of the capital for 15 months and b received 2 / 3 of the profit . for how long b \u2019 s money was used ?", - "Output Program": [ - "n0 = 1.0\nn1 = 4.0\nn2 = 15.0\nn3 = 2.0\nn4 = 3.0\nt0 = n0 + 10.0\nanswer = t0 - n0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "a man buys rs . 52 shares paying 9 % dividend . the man wants to have an interest of 12 % on his money . the market value of each share is :", - "Output Program": [ - "n0 = 52.0\nn1 = 9.0\nn2 = 12.0\nt0 = 100.0 / n2\nt1 = n1 / 100.0\nt2 = n0 * t1\nanswer = t0 * t2\nprint(answer)" - ], - "Output Answer": [ - "39" - ], - "split": "train" - }, - { - "Input": "jerry went to a shop and bought things worth rs . 45 , out of which 30 % went on sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ?", - "Output Program": [ - "n0 = 45.0\nn1 = 30.0\nn2 = 6.0\nt0 = n1 / 100.0\nt1 = 100.0 / n2\nt2 = t0 * t1\nt3 = t0 + t2\nanswer = n0 - t3\nprint(answer)" - ], - "Output Answer": [ - "39.7" - ], - "split": "train" - }, - { - "Input": "if 20 % of a number = 100 , then 120 % of that number will be ?", - "Output Program": [ - "n0 = 20.0\nn1 = 100.0\nn2 = 120.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "bruce purchased 8 kg of grapes at the rate of 70 per kg and 10 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 8.0\nn1 = 70.0\nn2 = 10.0\nn3 = 55.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1110" - ], - "split": "train" - }, - { - "Input": "162 students represent x percent of the boys at a school . if the boys at the school make up 50 % of the total school population of x students , what is x ?", - "Output Program": [ - "import math\nn0 = 162.0\nn1 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * 100.0\nt2 = t1 / t0\nanswer = math.sqrt(max(0, t2))\nprint(answer)" - ], - "Output Answer": [ - "180" - ], - "split": "train" - }, - { - "Input": "a sum was put at simple interest at certain rate for 3 years . had it been put at 1 % higher rate it would have fetched rs . 75 more . the sum is : a . rs . 2,400 b . rs . 2,100 c . rs . 2,200 d . rs . 2,480", - "Output Program": [ - "n0 = 3.0\nn1 = 1.0\nn2 = 75.0\nn3 = 2400.0\nn4 = 2100.0\nn5 = 2200.0\nn6 = 2480.0\nt0 = n2 / n0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2500" - ], - "split": "train" - }, - { - "Input": "what is the compound interest paid on a sum of rs . 4500 for the period of 2 years at 10 % per annum .", - "Output Program": [ - "n0 = 4500.0\nn1 = 2.0\nn2 = 10.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nt3 = n0 * t2\nanswer = t3 - n0\nprint(answer)" - ], - "Output Answer": [ - "945.0000000000009" - ], - "split": "train" - }, - { - "Input": "what is rate of interest if principal . amount be 400 , simple interest 180 and time 2 year .", - "Output Program": [ - "n0 = 400.0\nn1 = 180.0\nn2 = 2.0\nt0 = n0 * n2\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "22.5" - ], - "split": "train" - }, - { - "Input": "find the compound interest on rs . 16,000 at 20 % per annum for 9 months , compounded quartely .", - "Output Program": [ - "import math\nn0 = 16000.0\nn1 = 20.0\nn2 = 9.0\nt0 = n1 / 4.0\nt1 = 4.0 * 4.0\nt2 = math.sqrt(max(0, 100.0))\nt3 = t0 / 100.0\nt4 = t1 * 100.0\nt5 = t3 + 1.0\nt6 = t4 * t2\nt7 = t5**min(3.0, 5)\nt8 = t6 * t7\nanswer = t8 - t6\nprint(answer)" - ], - "Output Answer": [ - "2522.0000000000036" - ], - "split": "train" - }, - { - "Input": "if 5 % more is gained by selling an article for rs . 350 than by selling it for rs . 348 , the cost of the article is", - "Output Program": [ - "n0 = 5.0\nn1 = 350.0\nn2 = 348.0\nt0 = n0 / 100.0\nt1 = n1 - n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "in country z , 18 % of the people do not have a university diploma but have the job of their choice , and 25 % of the people who do not have the job of their choice have a university diploma . if 40 % of the people have the job of their choice , what percent of the people have a university diploma ?", - "Output Program": [ - "n0 = 18.0\nn1 = 25.0\nn2 = 40.0\nt0 = 100.0 - n2\nt1 = n2 - n0\nt2 = n1 * t0\nt3 = t2 / 100.0\nanswer = t3 + t1\nprint(answer)" - ], - "Output Answer": [ - "37" - ], - "split": "train" - }, - { - "Input": "a dealer purchases 15 articles for rs . 25 and sells 12 articles for rs . 33 . find the profit percentage ?", - "Output Program": [ - "n0 = 15.0\nn1 = 25.0\nn2 = 12.0\nn3 = 33.0\nt0 = 1.0 + 4.0\nt1 = n1 * 4.0\nt2 = n3 * t0\nanswer = t2 - t1\nprint(answer)" - ], - "Output Answer": [ - "65" - ], - "split": "train" - }, - { - "Input": "a chemist mixes one liter of pure water with x liters of a 60 % salt solution , and the resulting mixture is a 20 % salt solution . what is the value of x ?", - "Output Program": [ - "n0 = 60.0\nn1 = 20.0\nt0 = n0 - n1\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "0.5" - ], - "split": "train" - }, - { - "Input": "if the cost price is 99 % of selling price then what is the profit percentage .", - "Output Program": [ - "n0 = 99.0\nt0 = 100.0 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "1.0101010101010102" - ], - "split": "train" - }, - { - "Input": "j is 25 % less than p and 20 % less than t . t is w % less than p . what is the value of w ?", - "Output Program": [ - "n0 = 25.0\nn1 = 20.0\nt0 = n0 * n0\nanswer = t0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "6.25" - ], - "split": "train" - }, - { - "Input": "how many litres of pure acid are there in 4 litres of a 35 % solution", - "Output Program": [ - "n0 = 4.0\nn1 = 35.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "1.4" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article at $ 100 with 10 % profit . then find its cost price ?", - "Output Program": [ - "n0 = 100.0\nn1 = 10.0\nt0 = n1 + n0\nt1 = n0 / t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "90.9090909090909" - ], - "split": "train" - }, - { - "Input": "a glass was filled with 12 ounces of water , and 0.03 ounce of the water evaporated each day during a 22 - day period . what percent of the original amount of water evaporated during this period ?", - "Output Program": [ - "n0 = 12.0\nn1 = 0.03\nn2 = 22.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "5.499999999999999" - ], - "split": "train" - }, - { - "Input": "a dealer purchased an article at 3 / 4 of its list price and sold 50 % more than the list price . find his gain percent ?", - "Output Program": [ - "n0 = 3.0\nn1 = 4.0\nn2 = 50.0\nt0 = n0 / n1\nt1 = n2 / 100.0\nt2 = t0 / t1\nt3 = t2 * 100.0\nanswer = t3 - n2\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "20 % of employees are women with fair hair . 40 % of fair - haired employees are women . what percent of employees have fair hair ?", - "Output Program": [ - "n0 = 20.0\nn1 = 40.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 1000 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 25.0\nn1 = 5.0\nn2 = 1000.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "the price of a coat in a certain store is $ 500 . if the price of the coat is to be reduced by $ 300 , by what percent is the price to be reduced ?", - "Output Program": [ - "n0 = 500.0\nn1 = 300.0\nt0 = n1 / n0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "two men started from the same place walk at the rate of 10 kmph and 12 kmph respectively . what time will they take to be 2 km apart , if they walk in the same direction ?", - "Output Program": [ - "n0 = 10.0\nn1 = 12.0\nn2 = 2.0\nt0 = n1 - n0\nanswer = t0 / n2\nprint(answer)" - ], - "Output Answer": [ - "1" - ], - "split": "train" - }, - { - "Input": "a jar full of whisky contains 40 % alcohol . a part of this whisky is replaced by another containg 19 % alcohol and now the percentage of alcohol was found to be 24 % . what quantity of whisky is replaced ?", - "Output Program": [ - "n0 = 40.0\nn1 = 19.0\nn2 = 24.0\nt0 = n0 - n2\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.7619047619047619" - ], - "split": "train" - }, - { - "Input": "a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store , at the end of one month the number of total items sold increases 25 % . their gross income from sales for one month increases by what percent ?", - "Output Program": [ - "n0 = 10.0\nn1 = 25.0\nt0 = n1 / n0\nt1 = n1 - n0\nanswer = t1 - t0\nprint(answer)" - ], - "Output Answer": [ - "12.5" - ], - "split": "train" - }, - { - "Input": "difference of two numbers is 1660 . if 7.5 % of the number is 12.5 % of the other number , find the number ?", - "Output Program": [ - "n0 = 1660.0\nn1 = 7.5\nn2 = 12.5\nt0 = n1 / n2\nt1 = 1.0 - t0\nt2 = n0 / t1\nanswer = t0 * t2\nprint(answer)" - ], - "Output Answer": [ - "2490" - ], - "split": "train" - }, - { - "Input": "if rs . 7500 are borrowed at c . i at the rate of 4 % per annum , then after 2 years the amount to be paid is ?", - "Output Program": [ - "n0 = 7500.0\nn1 = 4.0\nn2 = 2.0\nt0 = n1 + 100.0\nt1 = t0 / 100.0\nt2 = t1 * t1\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "8112.000000000001" - ], - "split": "train" - }, - { - "Input": "in town x , 64 percent of the population are employed , and 50 percent of the population are employed males . what percent of the employed people in town x are females ?", - "Output Program": [ - "n0 = 64.0\nn1 = 50.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "21.875" - ], - "split": "train" - }, - { - "Input": "a person buys an article at rs . 800 . at what price should he sell the article so as to make a profit of 35 % ?", - "Output Program": [ - "n0 = 800.0\nn1 = 35.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1080" - ], - "split": "train" - }, - { - "Input": "in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 7500 , the number of valid votes that the other candidate got , was", - "Output Program": [ - "n0 = 55.0\nn1 = 20.0\nn2 = 7500.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t2 * t3\nanswer = n2 * t4\nprint(answer)" - ], - "Output Answer": [ - "2700" - ], - "split": "train" - }, - { - "Input": "there are two concentric circles with radii 5 and 4 . if the radius of the outer circle is increased by 20 % and the radius of the inner circle decreased by 50 % , by what percent does the area between the circles increase ?", - "Output Program": [ - "n0 = 5.0\nn1 = 4.0\nn2 = 20.0\nn3 = 50.0\nt0 = n2 + 100.0\nt1 = n0**min(2.0, 5)\nt2 = n1**min(2.0, 5)\nt3 = 100.0 - n3\nt4 = t0 / 100.0\nt5 = t3 / 100.0\nt6 = t1 - t2\nt7 = n0 * t4\nt8 = n1 * t5\nt9 = t7**min(2.0, 5)\nt10 = t8**min(2.0, 5)\nt11 = t9 - t10\nt12 = t11 - t6\nt13 = t12 / t6\nanswer = t13 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "255.55555555555554" - ], - "split": "train" - }, - { - "Input": "population of a city in 20004 was 1000000 . if in 2005 there isan increment of 15 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 35 % , then find the population of city atthe end of the year 2007", - "Output Program": [ - "n0 = 20004.0\nn1 = 1000000.0\nn2 = 2005.0\nn3 = 15.0\nn4 = 2006.0\nn5 = 35.0\nn6 = 2007.0\nn7 = 35.0\nn8 = 2007.0\nt0 = n5 / 100.0\nt1 = n3 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = 1.0 - t0\nt5 = t3 * t4\nt6 = t2 * t5\nanswer = n1 * t6\nprint(answer)" - ], - "Output Answer": [ - "1009125" - ], - "split": "train" - }, - { - "Input": "in a school of 400 boys , 44 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?", - "Output Program": [ - "n0 = 400.0\nn1 = 44.0\nn2 = 28.0\nn3 = 10.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = 100.0 - t1\nt3 = n0 * t2\nanswer = t3 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "72" - ], - "split": "train" - }, - { - "Input": "a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store , at the end of one month the number of total items sold increases 20 % . their gross income from sales for one month increases by what percent ?", - "Output Program": [ - "n0 = 10.0\nn1 = 20.0\nt0 = n1 / n0\nt1 = n1 - n0\nanswer = t1 - t0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "the s . i . on a certain sum of money for 3 years at 8 % per annum is half the c . i . on rs . 4000 for 2 years at 10 % per annum . the sum placed on s . i . is ?", - "Output Program": [ - "n0 = 3.0\nn1 = 8.0\nn2 = 4000.0\nn3 = 2.0\nn4 = 10.0\nt0 = n4 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = n0 * t1\nt4 = t2**min(n3, 5)\nt5 = n2 * t4\nt6 = t5 - n2\nt7 = t6 / n3\nanswer = t7 / t3\nprint(answer)" - ], - "Output Answer": [ - "1750.000000000002" - ], - "split": "train" - }, - { - "Input": "a person buys an article at rs . 460 . at what price should he sell the article so as to make a profit of 18 % ?", - "Output Program": [ - "n0 = 460.0\nn1 = 18.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "542.8" - ], - "split": "train" - }, - { - "Input": "in a sample of christ college students , 30 percent are third year students and 90 percent are not second - year students . what fraction of those students who are not third - year students are second - year students ?", - "Output Program": [ - "n0 = 30.0\nn1 = 90.0\nt0 = 100.0 - n0\nt1 = n1 - n0\nt2 = t0 - t1\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "0.14285714285714285" - ], - "split": "train" - }, - { - "Input": "in a school of 800 students , 45 % wear blue shirts , 23 % wear red shirts , 15 % wear green shirts , and the remaining students wear other colors . how many students wear other colors ( not blue , not red , not green ) ?", - "Output Program": [ - "n0 = 800.0\nn1 = 45.0\nn2 = 23.0\nn3 = 15.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = n0 * t0\nt4 = n0 * t1\nt5 = n0 * t2\nt6 = t3 + t4\nt7 = t6 + t5\nanswer = n0 - t7\nprint(answer)" - ], - "Output Answer": [ - "136" - ], - "split": "train" - }, - { - "Input": "michelle deposited a certain sum of money in a savings account on july 1 st , 2007 . she earns an 10 % interest compounded semiannually . the sum of money in the account on december 31 st , 2009 is approximately what percent of the initial deposit ?", - "Output Program": [ - "n0 = 1.0\nn1 = 2007.0\nn2 = 10.0\nn3 = 31.0\nn4 = 2009.0\nt0 = 2.0 + 3.0\nt1 = n2 / 100.0\nt2 = t1 / 2.0\nt3 = t2 + n0\nt4 = t3**min(t0, 5)\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "127.62815625000003" - ], - "split": "train" - }, - { - "Input": "in a company , 54 percent of the employees are men . if 60 percent of the employees are unionized and 70 percent of these are men , what percent of the non - union employees are women ?", - "Output Program": [ - "n0 = 54.0\nn1 = 60.0\nn2 = 70.0\nt0 = n2 / 100.0\nt1 = 100.0 - n0\nt2 = 100.0 - n1\nt3 = n1 * t0\nt4 = n1 - t3\nt5 = t1 - t4\nt6 = t5 / t2\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "70" - ], - "split": "train" - }, - { - "Input": "in an election between two candidates , the winner has a margin of 20 % of the votes polled . if 1000 people change their mind and vote for the loser , the loser would have won by a margin of 20 % of the votes polled . find the total number of votes polled in the election ?", - "Output Program": [ - "n0 = 20.0\nn1 = 1000.0\nn2 = 20.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "5000" - ], - "split": "train" - }, - { - "Input": "by selling an article at rs . 800 , a profit of 25 % is made . find its cost price ?", - "Output Program": [ - "n0 = 800.0\nn1 = 25.0\nt0 = n1 + 100.0\nt1 = n0 * 100.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "640" - ], - "split": "train" - }, - { - "Input": "kanul spent $ 500 in buying raw materials , $ 400 in buying machinery and 10 % of the total amount he had as cash with him . what was the total amount ?", - "Output Program": [ - "n0 = 500.0\nn1 = 400.0\nn2 = 10.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = 1.0 - t1\nanswer = t0 / t2\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "train" - }, - { - "Input": "if 1500 is increased by 20 % , and then reduced by y % , yielding 1080 , what is y ?", - "Output Program": [ - "n0 = 1500.0\nn1 = 20.0\nn2 = 1080.0\nt0 = n1 + 100.0\nt1 = t0 / 100.0\nt2 = n0 * t1\nt3 = n2 / t2\nt4 = 1.0 - t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "in an election between the two candidates , the candidates who gets 70 % of votes polled is winned by 240 vote \u2019 s majority . what is the total number of votes polled ?", - "Output Program": [ - "n0 = 70.0\nn1 = 240.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nt2 = n0 - t1\nanswer = t0 / t2\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "a store sells chairs and tables . if the price of 2 chairs and 1 table is 60 % of the price of 1 chair and 2 tables , and the price of 1 table and 1 chair is $ 96 , what is the price , in dollars , of 1 table ? ( assume that every chair has the same price and every table has the same price . )", - "Output Program": [ - "n0 = 2.0\nn1 = 1.0\nn2 = 60.0\nn3 = 1.0\nn4 = 2.0\nn5 = 1.0\nn6 = 1.0\nn7 = 96.0\nn8 = 1.0\nt0 = n2 / 100.0\nt1 = n7 * 2.0\nt2 = t0 + 1.0\nt3 = n7 * t0\nt4 = t1 - t3\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "84" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article offering a discount of 5 % and earned a profit of 34.9 % . what would have been the percentage of profit earned if no discount had been offered ?", - "Output Program": [ - "n0 = 5.0\nn1 = 34.9\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * 100.0\nt3 = t2 / t1\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "42" - ], - "split": "train" - }, - { - "Input": "how long will a boy take to run round a square field of side 30 meters , if he runs at the rate of 12 km / hr ?", - "Output Program": [ - "n0 = 30.0\nn1 = 12.0\nt0 = 1000.0 / 3600.0\nt1 = n0 * 4.0\nt2 = n1 * t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "36" - ], - "split": "train" - }, - { - "Input": "the price of a coat in a certain store is $ 500 . if the price of the coat is to be reduced by $ 350 , by what percent is the price to be reduced ?", - "Output Program": [ - "n0 = 500.0\nn1 = 350.0\nt0 = n1 / n0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "70" - ], - "split": "train" - }, - { - "Input": "a retailer bought a machine at a wholesale price of $ 90 and later on sold it after a 10 % discount of the retail price . if the retailer made a profit equivalent to 20 % of the whole price , what is the retail price of the machine ?", - "Output Program": [ - "n0 = 90.0\nn1 = 10.0\nn2 = 20.0\nt0 = n0 * n2\nt1 = 3.0 * 3.0\nt2 = t0 / 100.0\nt3 = n1 * t1\nt4 = n0 + t2\nt5 = t4 * 100.0\nanswer = t5 / t3\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "in a certain company 20 % of the men and 40 % of the women attended the annual company picnic . if 30 % of all the employees are men . what % of all the employee went to the picnic ?", - "Output Program": [ - "n0 = 20.0\nn1 = 40.0\nn2 = 30.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = 100.0 - n2\nt4 = t3 / 100.0\nt5 = t0 * t1\nt6 = t4 * t2\nt7 = t5 + t6\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "34" - ], - "split": "train" - }, - { - "Input": "30 is what percent of 100 ?", - "Output Program": [ - "n0 = 30.0\nn1 = 100.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "a watch was sold at a loss of 12 % . if it was sold for rs . 140 more , there would have been a gain of 4 % . what is the cost price ?", - "Output Program": [ - "n0 = 12.0\nn1 = 140.0\nn2 = 4.0\nt0 = 100.0 + n2\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t0 - t2\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "875" - ], - "split": "train" - }, - { - "Input": "given a certain number ( x ) , find x given that 5.76 is 12 % of 40 % of x ?", - "Output Program": [ - "n0 = 5.76\nn1 = 12.0\nn2 = 40.0\nt0 = 100.0 - n1\nt1 = 100.0 - n2\nt2 = n0 * t0\nt3 = t2 / n1\nt4 = n0 + t3\nt5 = t4 * t1\nt6 = t5 / n2\nanswer = t4 + t6\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "a man sells an article at a profit of 25 % . if he had bought it at 20 % less and sold it for rs . 12.60 less , he would have gained 30 % . find the cost of the article .", - "Output Program": [ - "n0 = 25.0\nn1 = 20.0\nn2 = 12.6\nn3 = 30.0\nt0 = n0 + 100.0\nt1 = n3 + 100.0\nt2 = n2 * 100.0\nt3 = 100.0 - n1\nt4 = t1 * t3\nt5 = t4 / 100.0\nt6 = t0 - t5\nanswer = t2 / t6\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "bruce purchased 8 kg of grapes at the rate of 70 per kg and 8 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 8.0\nn1 = 70.0\nn2 = 8.0\nn3 = 55.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "train" - }, - { - "Input": "some of the 50 % solution of acid was removed and this was replaced with an equal amount of 20 % solution of acid . as a result , a 35 % solution of acid was obtained . what fraction of the original solution was replaced ?", - "Output Program": [ - "n0 = 50.0\nn1 = 20.0\nn2 = 35.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" - ], - "Output Answer": [ - "0.5" - ], - "split": "train" - }, - { - "Input": "of the land owned by a farmer , 90 percent was cleared for planting . of the cleared land , 10 percent was planted with grapes and 80 percent of the cleared land was planted with potato . if the remaining 450 acres of cleared land was planted with tomato , how many acres did the farmer own ?", - "Output Program": [ - "n0 = 90.0\nn1 = 10.0\nn2 = 80.0\nn3 = 450.0\nt0 = n0 / 100.0\nt1 = 100.0 - n1\nt2 = t1 - n2\nt3 = t2 / 100.0\nt4 = t3 * t0\nanswer = n3 / t4\nprint(answer)" - ], - "Output Answer": [ - "4999.999999999999" - ], - "split": "train" - }, - { - "Input": "find compound interest on $ 16000 at 15 % per annum for 2 years 4 months , compounded annually .", - "Output Program": [ - "n0 = 16000.0\nn1 = 15.0\nn2 = 2.0\nn3 = 4.0\nt0 = n1 / 100.0\nt1 = t0 / 3.0\nt2 = n0 * t0\nt3 = n0 + t2\nt4 = t3 * t0\nt5 = t2 + t4\nt6 = t3 + t4\nt7 = t6 * t1\nanswer = t5 + t7\nprint(answer)" - ], - "Output Answer": [ - "6218" - ], - "split": "train" - }, - { - "Input": "a cycle is bought for rs . 930 and sold for rs . 1210 , find the gain percent ?", - "Output Program": [ - "n0 = 930.0\nn1 = 1210.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "30.107526881720432" - ], - "split": "train" - }, - { - "Input": "if difference between compound interest and simple interest on a sum at 10 % p . a . for 2 years is rs . 61 then sum is", - "Output Program": [ - "n0 = 10.0\nn1 = 2.0\nn2 = 61.0\nt0 = n0 / 100.0\nt1 = t0 * t0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "6099.999999999999" - ], - "split": "train" - }, - { - "Input": "a number increased by 20 % gives 480 . the number is", - "Output Program": [ - "n0 = 20.0\nn1 = 480.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "mike needs 30 % to pass . if he scored 212 marks and falls short by 13 marks , what was the maximum marks he could have got ?", - "Output Program": [ - "n0 = 30.0\nn1 = 212.0\nn2 = 13.0\nt0 = n1 + n2\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "750" - ], - "split": "train" - }, - { - "Input": "a fair price shopkeeper takes 10 % profit on his goods . he lost 50 % goods during theft . his loss percent is :", - "Output Program": [ - "n0 = 10.0\nn1 = 50.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "45" - ], - "split": "train" - }, - { - "Input": "a sum was put a simple interest at a certain rate for 4 years . had it been put at 3 % higher rate , it would have fetched rs . 120 more . the sum is :", - "Output Program": [ - "n0 = 4.0\nn1 = 3.0\nn2 = 120.0\nt0 = n2 / n0\nt1 = t0 / n1\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "train" - }, - { - "Input": "bruce purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 8.0\nn1 = 70.0\nn2 = 9.0\nn3 = 55.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1055" - ], - "split": "train" - }, - { - "Input": "a small company reduced its faculty by approximately 13 percent to 263 employees . what was the original number of employees ?", - "Output Program": [ - "n0 = 13.0\nn1 = 263.0\nt0 = 100.0 - n0\nt1 = t0 / 100.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "302.2988505747126" - ], - "split": "train" - }, - { - "Input": "to a sugar solution of 3 liters containing 40 % sugar , one liter of water is added . the percentage of sugar in the new solution is ?", - "Output Program": [ - "n0 = 3.0\nn1 = 40.0\nt0 = n0 + 1.0\nt1 = n1 / 100.0\nt2 = n0 * t1\nt3 = t2 / t0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "30.000000000000004" - ], - "split": "train" - }, - { - "Input": "in a certain pond , 80 fish were caught , tagged , and returned to the pond . a few days later , 80 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?", - "Output Program": [ - "n0 = 80.0\nn1 = 80.0\nn2 = 2.0\nt0 = n2 / n1\nanswer = n0 / t0\nprint(answer)" - ], - "Output Answer": [ - "3200" - ], - "split": "train" - }, - { - "Input": "by selling 18 pencils for a rupee a man loses 20 % . how many for a rupee should he sell in order to gain 20 % ?", - "Output Program": [ - "n0 = 18.0\nn1 = 20.0\nn2 = 20.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = 1.0 / t1\nt3 = t0 * t2\nt4 = 1.0 / t3\nanswer = n0 * t4\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "train" - }, - { - "Input": "joe invested a certain sum of money in a simple interest bond whose value grew to $ 260 at the end of 3 years and to $ 360 at the end of another 5 years . what was the rate of interest in which he invested his sum ?", - "Output Program": [ - "n0 = 260.0\nn1 = 3.0\nn2 = 360.0\nn3 = 5.0\nt0 = n2 - n0\nt1 = t0 / n3\nt2 = n1 * t1\nt3 = n0 - t2\nt4 = t1 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "the salary of a worker is first increased by 15 % and afterwards reduced by 15 % . what is the net change in the worker ' s salary ?", - "Output Program": [ - "n0 = 15.0\nn1 = 15.0\nt0 = n0 + 100.0\nt1 = n0 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "2.25" - ], - "split": "train" - }, - { - "Input": "70 is what percent of 125 ?", - "Output Program": [ - "n0 = 70.0\nn1 = 125.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "56.00000000000001" - ], - "split": "train" - }, - { - "Input": "the owner of a furniture shop charges his customer 20 % more than the cost price . if a customer paid rs . 3600 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 20.0\nn1 = 3600.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "3000" - ], - "split": "train" - }, - { - "Input": "because he \u2019 s taxed by his home planet , mork pays a tax rate of 30 % on his income , while mindy pays a rate of only 20 % on hers . if mindy earned 3 times as much as mork did , what was their combined tax rate ?", - "Output Program": [ - "n0 = 30.0\nn1 = 20.0\nn2 = 3.0\nt0 = n2 + 1.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = n2 * t2\nt4 = t1 + t3\nt5 = t4 / t0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "22.500000000000004" - ], - "split": "train" - }, - { - "Input": "sahil purchased a machine at rs 9000 , then got it repaired at rs 5000 , then gave its transportation charges rs 1000 . then he sold it with 50 % of profit . at what price he actually sold it .", - "Output Program": [ - "n0 = 9000.0\nn1 = 5000.0\nn2 = 1000.0\nn3 = 50.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = t1 / 100.0\nt3 = n3 * t2\nanswer = t1 + t3\nprint(answer)" - ], - "Output Answer": [ - "22500" - ], - "split": "train" - }, - { - "Input": "if a lends rs . 3500 to b at 10 % per annum and b lends the same sum to c at 15 % per annum then the gain of b in a period of 3 years is ?", - "Output Program": [ - "n0 = 3500.0\nn1 = 10.0\nn2 = 15.0\nn3 = 3.0\nt0 = n0 * n2\nt1 = n0 * n1\nt2 = t0 * n3\nt3 = n3 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nanswer = t4 - t5\nprint(answer)" - ], - "Output Answer": [ - "525" - ], - "split": "train" - }, - { - "Input": "a furniture dealer purchased a desk for $ 150 and then set the selling price equal to the purchase price plus a markup that was 50 % of the selling price . if the dealer sold the desk at the selling price , what was the amount of the dealer ' s gross profit from the purchase and the sale of the desk ?", - "Output Program": [ - "n0 = 150.0\nn1 = 50.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nt2 = n0 / t1\nt3 = t2 - n0\nt4 = t3 * 100.0\nanswer = t4 / n0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "a cycle is bought for rs . 900 and sold for rs . 1100 , find the gain percent ?", - "Output Program": [ - "n0 = 900.0\nn1 = 1100.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "22.22222222222222" - ], - "split": "train" - }, - { - "Input": "a man buys a cycle for rs . 1200 and sells it at a loss of 15 % . what is the selling price of the cycle ?", - "Output Program": [ - "n0 = 1200.0\nn1 = 15.0\nt0 = 100.0 - n1\nt1 = n0 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1020" - ], - "split": "train" - }, - { - "Input": "a man invested rs . 4455 in rs . 10 shares quoted at rs . 8.25 . if the rate of dividend be 12 % , his annual income is :", - "Output Program": [ - "n0 = 4455.0\nn1 = 10.0\nn2 = 8.25\nn3 = 12.0\nt0 = n3 / 100.0\nt1 = n0 / n2\nt2 = n1 * t1\nanswer = t0 * t2\nprint(answer)" - ], - "Output Answer": [ - "648" - ], - "split": "train" - }, - { - "Input": "a bag marked at $ 200 is sold for $ 120 . the rate of discount is ?", - "Output Program": [ - "n0 = 200.0\nn1 = 120.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "what is the rate percent when the simple interest on rs . 2000 amount to rs . 500 in 2 years ?", - "Output Program": [ - "n0 = 2000.0\nn1 = 500.0\nn2 = 2.0\nt0 = n1 * 100.0\nt1 = n0 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "12.5" - ], - "split": "train" - }, - { - "Input": "in the first 10 overs of a cricket game , the run rate was only 4.6 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?", - "Output Program": [ - "n0 = 10.0\nn1 = 4.6\nn2 = 40.0\nn3 = 282.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "5.9" - ], - "split": "train" - }, - { - "Input": "calculate the dividend from moses ' s stock , if he invested rs . 3000 at 72 to obtain an income of rs . 210 .", - "Output Program": [ - "n0 = 3000.0\nn1 = 72.0\nn2 = 210.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "5.04" - ], - "split": "train" - }, - { - "Input": "p and q invested in a business . the profit earned was divided in the ratio 3 : 5 . if p invested rs 12000 , the amount invested by q is", - "Output Program": [ - "n0 = 3.0\nn1 = 5.0\nn2 = 12000.0\nt0 = n2 / 2.0\nanswer = n1 * t0\nprint(answer)" - ], - "Output Answer": [ - "30000" - ], - "split": "train" - }, - { - "Input": "seed mixture x is 40 percent ryegrass and 60 percent bluegrass by weight ; seed mixture y is 25 percent ryegrass and 75 percent fescue . if a mixture of x and y contains 30 percent ryegrass , what percent of the weight of this mixture is x ?", - "Output Program": [ - "n0 = 40.0\nn1 = 60.0\nn2 = 25.0\nn3 = 75.0\nn4 = 30.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n4 - n2\nt3 = t0 - t1\nanswer = t2 / t3\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "train" - }, - { - "Input": "if a cost college rs 0.70 a companyto produce a program for yhe home coming football game . if rs 15000 was received for addvertisement in the pgm , how many copies rs 0.50 a copy must be sold to make a profit of rs 8000", - "Output Program": [ - "n0 = 0.7\nn1 = 15000.0\nn2 = 0.5\nn3 = 8000.0\nt0 = n1 - n3\nt1 = n0 - n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "35000.00000000001" - ], - "split": "train" - }, - { - "Input": "if a trader sold two cars each at rs . 325475 and gains 14 % on the first and loses 14 % on the second , then his profit or loss percent on the whole is ?", - "Output Program": [ - "n0 = 325475.0\nn1 = 14.0\nn2 = 14.0\nt0 = n1 * n1\nanswer = t0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1.96" - ], - "split": "train" - }, - { - "Input": "how much more would rs . 30000 fetch , after two years , if it is put at 20 % p . a . compound interest payable half yearly than if is put at 20 % p . a . compound interest payable yearly ?", - "Output Program": [ - "n0 = 30000.0\nn1 = 20.0\nn2 = 20.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t0 / 2.0\nt3 = t2 + 1.0\nt4 = t1**min(2.0, 5)\nt5 = n0 * t4\nt6 = t3**min(4.0, 5)\nt7 = n0 * t6\nanswer = t7 - t5\nprint(answer)" - ], - "Output Answer": [ - "723.0000000000146" - ], - "split": "train" - }, - { - "Input": "a survey was sent to 70 customers , 7 of whom responded . then the survey was redesigned and sent to another 63 customers , 9 of whom responded . by approximately what percent did the response rate increase from the original survey to the redesigned survey ?", - "Output Program": [ - "import math\nn0 = 70.0\nn1 = 7.0\nn2 = 63.0\nn3 = 9.0\nt0 = n3 / n2\nt1 = n1 / n0\nt2 = t0 - t1\nt3 = t2 * 100.0\nanswer = math.floor(t3)\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "the banker ' s gain on a sum due 3 years hence at 12 % per annum is rs . 360 . the banker ' s discount is :", - "Output Program": [ - "n0 = 3.0\nn1 = 12.0\nn2 = 360.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nt2 = t0 / t1\nanswer = n2 + t2\nprint(answer)" - ], - "Output Answer": [ - "1360" - ], - "split": "train" - }, - { - "Input": "carl is facing very difficult financial times and can only pay the interest on a $ 10,000 loan he has taken . the bank charges him a quarterly compound rate of 5 % . what is the approximate interest he pays annually ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 5.0\nt0 = n1 / 100.0\nt1 = 100.0 * 100.0\nt2 = t0 + 1.0\nt3 = t2**min(4.0, 5)\nt4 = t1 * t3\nanswer = t4 - t1\nprint(answer)" - ], - "Output Answer": [ - "2155.062500000002" - ], - "split": "train" - }, - { - "Input": "a shirt goes on sale for 50 % of its original price . one week later , the sale price is marked down 10 % . the final price is what percent of the original price ?", - "Output Program": [ - "n0 = 50.0\nn1 = 10.0\nt0 = n0 / 100.0\nt1 = n1 * t0\nanswer = n0 - t1\nprint(answer)" - ], - "Output Answer": [ - "45" - ], - "split": "train" - }, - { - "Input": "sahil purchased a machine at rs 14000 , then got it repaired at rs 5000 , then gave its transportation charges rs 1000 . then he sold it with 50 % of profit . at what price he actually sold it .", - "Output Program": [ - "n0 = 14000.0\nn1 = 5000.0\nn2 = 1000.0\nn3 = 50.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = t1 / 100.0\nt3 = n3 * t2\nanswer = t1 + t3\nprint(answer)" - ], - "Output Answer": [ - "30000" - ], - "split": "train" - }, - { - "Input": "the salary of a person was reduced by 50 % . by what percent should his reduced salary be raised so as to bring it at par with his original salary ?", - "Output Program": [ - "n0 = 50.0\nt0 = n0 / 100.0\nt1 = t0 * 100.0\nt2 = 100.0 - t1\nt3 = t1 / t2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "john purchased a grinder and a mobile for rs . 15000 & rs . 10000 respectively . he sold the grinder at a loss of 4 % and the mobile phone at a profit of 10 % . overall how much he make a profit .", - "Output Program": [ - "n0 = 15000.0\nn1 = 10000.0\nn2 = 4.0\nn3 = 10.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = n3 * t0\nt3 = n2 * t1\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "the market value of a 10.5 % stock , in which an income of rs . 756 is derived by investing rs . 6500 , brokerage being 1 / 4 % , is :", - "Output Program": [ - "n0 = 10.5\nn1 = 756.0\nn2 = 6500.0\nn3 = 1.0\nn4 = 4.0\nt0 = n2 / n1\nt1 = n3 / n4\nt2 = n0 * t0\nanswer = t2 - t1\nprint(answer)" - ], - "Output Answer": [ - "90.02777777777779" - ], - "split": "train" - }, - { - "Input": "how many litres of pure acid are there in 8 litres of a 20 % solution", - "Output Program": [ - "n0 = 8.0\nn1 = 20.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "1.6" - ], - "split": "train" - }, - { - "Input": "in an election between two candidates , the winner has a margin of 20 % of the votes polled . if 3000 people change their mind and vote for the loser , the loser would have won by a margin of 20 % of the votes polled . find the total number of votes polled in the election ?", - "Output Program": [ - "n0 = 20.0\nn1 = 3000.0\nn2 = 20.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "15000" - ], - "split": "train" - }, - { - "Input": "a $ 500 investment and a $ 1,500 investment have a combined yearly return of 16 percent of the total of the two investments . if the $ 500 investment has a yearly return of 7 percent , what percent yearly return does the $ 1,500 investment have ?", - "Output Program": [ - "n0 = 500.0\nn1 = 1500.0\nn2 = 16.0\nn3 = 500.0\nn4 = 7.0\nn5 = 1500.0\nt0 = n2 / 100.0\nt1 = n4 / 100.0\nt2 = n0 * 3.0\nt3 = n0 + t2\nt4 = n0 * t1\nt5 = t3 * t0\nt6 = t5 - t4\nt7 = t6 / t2\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "19" - ], - "split": "train" - }, - { - "Input": "an investment yields an interest payment of $ 216 each month . if the simple annual interest rate is 9 % , what is the amount of the investment ?", - "Output Program": [ - "n0 = 216.0\nn1 = 9.0\nt0 = 3.0 * 4.0\nt1 = n1 / t0\nt2 = n0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "28800" - ], - "split": "train" - }, - { - "Input": "one night 18 percent of the female officers on a police force were on duty . if 144 police officers were on duty that night and half of these were female officers , how many female officers were on the police force ?", - "Output Program": [ - "n0 = 18.0\nn1 = 144.0\nt0 = n1 / 2.0\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "a shirt goes on sale for 70 % of its original price . one week later , the sale price is marked down 10 % . the final price is what percent of the original price ?", - "Output Program": [ - "n0 = 70.0\nn1 = 10.0\nt0 = n0 / 100.0\nt1 = n1 * t0\nanswer = n0 - t1\nprint(answer)" - ], - "Output Answer": [ - "63" - ], - "split": "train" - }, - { - "Input": "3 candidates in an election and received 2500 , 5000 and 15000 votes respectively . what % of the total votes did the winningcandidate got in that election ?", - "Output Program": [ - "n0 = 3.0\nn1 = 2500.0\nn2 = 5000.0\nn3 = 15000.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = n3 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "66.66666666666666" - ], - "split": "train" - }, - { - "Input": "a watch was sold at a loss of 36 % . if it was sold for rs . 140 more , there would have been a gain of 4 % . what is the cost price ?", - "Output Program": [ - "n0 = 36.0\nn1 = 140.0\nn2 = 4.0\nt0 = 100.0 + n2\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t0 - t2\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "350" - ], - "split": "train" - }, - { - "Input": "weights of two friends ram and shyam are in the ratio 4 : 5 . if ram ' s weight is increased by 10 % and total weight of ram and shyam become 82.8 kg , with an increases of 15 % . by what percent did the weight of shyam has to be increased ?", - "Output Program": [ - "n0 = 4.0\nn1 = 5.0\nn2 = 10.0\nn3 = 82.8\nn4 = 15.0\nt0 = n0 / n1\nt1 = n4 - n2\nt2 = t0 * t1\nanswer = n4 + t2\nprint(answer)" - ], - "Output Answer": [ - "19" - ], - "split": "train" - }, - { - "Input": "a man invests in a 16 % stock at 128 . the interest obtained by him is :", - "Output Program": [ - "n0 = 16.0\nn1 = 128.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12.5" - ], - "split": "train" - }, - { - "Input": "calculate how long it will take a swimmer to swim a distance of 3 km against the current of a river which flows at 1.7 km / hr , given that he can swim in still water at 3 km / h", - "Output Program": [ - "n0 = 3.0\nn1 = 1.7\nn2 = 3.0\nt0 = n2 - n1\nanswer = n0 / t0\nprint(answer)" - ], - "Output Answer": [ - "2.3076923076923075" - ], - "split": "train" - }, - { - "Input": "the profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448 . what should be the sale price for making 50 % profit ?", - "Output Program": [ - "n0 = 832.0\nn1 = 448.0\nn2 = 50.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nt2 = n2 * t1\nt3 = t2 / 100.0\nanswer = t3 + t1\nprint(answer)" - ], - "Output Answer": [ - "960" - ], - "split": "train" - }, - { - "Input": "if the cost price of 24 articles is equal to the selling price of 16 articles , what is the percentage of profit or loss that the merchant makes ?", - "Output Program": [ - "n0 = 24.0\nn1 = 16.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = 100.0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "49.999999999999986" - ], - "split": "train" - }, - { - "Input": "a car dealership has 40 cars on the lot , 15 % of which are silver . if the dealership receives a new shipment of 80 cars , 30 % of which are not silver , what percentage of total number of cars are silver ?", - "Output Program": [ - "n0 = 40.0\nn1 = 15.0\nn2 = 80.0\nn3 = 30.0\nt0 = n0 + n2\nt1 = n1 / 100.0\nt2 = n3 / 100.0\nt3 = n0 * t1\nt4 = n2 * t2\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "how much more would rs . 40000 fetch , after two years , if it is put at 20 % p . a . compound interest payable half yearly than if is put at 20 % p . a . compound interest payable yearly ?", - "Output Program": [ - "n0 = 40000.0\nn1 = 20.0\nn2 = 20.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t0 / 2.0\nt3 = t2 + 1.0\nt4 = t1**min(2.0, 5)\nt5 = n0 * t4\nt6 = t3**min(4.0, 5)\nt7 = n0 * t6\nanswer = t7 - t5\nprint(answer)" - ], - "Output Answer": [ - "964.0000000000146" - ], - "split": "train" - }, - { - "Input": "one night 25 percent of the female officers on a police force were on duty . if 500 officers were on duty that night and half of these were female officers , how many female officers were on the police force ?", - "Output Program": [ - "n0 = 25.0\nn1 = 500.0\nt0 = n1 / 2.0\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "train" - }, - { - "Input": "a shop owner sells 30 mtr of cloth and gains sp of 10 metres . find the gain % ?", - "Output Program": [ - "n0 = 30.0\nn1 = 10.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "the calendar of the year 2032 can be used again in the year ?", - "Output Program": [ - "n0 = 2032.0\nt0 = 4.0 * 4.0\nt1 = t0 - 2.0\nt2 = t1 * 2.0\nanswer = n0 + t2\nprint(answer)" - ], - "Output Answer": [ - "2060" - ], - "split": "train" - }, - { - "Input": "if c is 25 % of a and 50 % of b , what percent of a is b ?", - "Output Program": [ - "n0 = 25.0\nn1 = 50.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "if x is invested in a bank at a rate of simple interest of y % p . a . for two years , then the interest earned is 600 . if x is invested at y % p . a . , for two years when the interest is compounded annually , the interest is 615 . what is the value of x ?", - "Output Program": [ - "n0 = 600.0\nn1 = 615.0\nt0 = n0 / 2.0\nt1 = n1 - n0\nt2 = t0**min(2.0, 5)\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "6000" - ], - "split": "train" - }, - { - "Input": "what will be the difference between simple interest and compound interest @ 10 % per annum on a sum of rs . 1000 after 3 years ?", - "Output Program": [ - "n0 = 10.0\nn1 = 1000.0\nn2 = 3.0\nt0 = n0 / 100.0\nt1 = n0 * n1\nt2 = t0 + 1.0\nt3 = n2 * t1\nt4 = t3 / 100.0\nt5 = t2**min(n2, 5)\nt6 = n1 * t5\nt7 = t6 - n1\nanswer = t7 - t4\nprint(answer)" - ], - "Output Answer": [ - "31.000000000000455" - ], - "split": "train" - }, - { - "Input": "? % of 360 = 93.6", - "Output Program": [ - "n0 = 360.0\nn1 = 93.6\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "26" - ], - "split": "train" - }, - { - "Input": "arun purchased 30 kg of wheat at the rate of rs . 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg . he mixed the two and sold the mixture . approximately what price per kg should be sell the mixture to make 20 % profit ?", - "Output Program": [ - "n0 = 30.0\nn1 = 11.5\nn2 = 20.0\nn3 = 14.25\nn4 = 20.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n3\nt3 = t1 + t2\nt4 = t3 / 100.0\nt5 = n4 * t4\nt6 = t3 + t5\nanswer = t6 / t0\nprint(answer)" - ], - "Output Answer": [ - "15.12" - ], - "split": "train" - }, - { - "Input": "kanul spent $ 80000 in buying raw materials , $ 30000 in buying machinery and 20 % of the total amount he had as cash with him . what was the total amount ?", - "Output Program": [ - "n0 = 80000.0\nn1 = 30000.0\nn2 = 20.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = 1.0 - t1\nanswer = t0 / t2\nprint(answer)" - ], - "Output Answer": [ - "137500" - ], - "split": "train" - }, - { - "Input": "there are 100 employees in a room . 99 % are managers . how many managers must leave the room to bring down the percentage of manager to 98 % ?", - "Output Program": [ - "n0 = 100.0\nn1 = 99.0\nn2 = 98.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n0 * t0\nt3 = n0 * t1\nt4 = 1.0 - t1\nt5 = t2 - t3\nanswer = t5 / t4\nprint(answer)" - ], - "Output Answer": [ - "49.99999999999996" - ], - "split": "train" - }, - { - "Input": "6.2 is what percent of 1000 ?", - "Output Program": [ - "n0 = 6.2\nn1 = 1000.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "0.62" - ], - "split": "train" - }, - { - "Input": "in the first 10 overs of a cricket game , the run rate was only 3.6 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?", - "Output Program": [ - "n0 = 10.0\nn1 = 3.6\nn2 = 40.0\nn3 = 282.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "6.15" - ], - "split": "train" - }, - { - "Input": "in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 7500 , the number of valid votes that the other candidate got , was :", - "Output Program": [ - "n0 = 55.0\nn1 = 20.0\nn2 = 7500.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t2 * t3\nanswer = n2 * t4\nprint(answer)" - ], - "Output Answer": [ - "2700" - ], - "split": "train" - }, - { - "Input": "the credit card and a global payment processing companies have been suffering losses for some time now . a well known company recently announced its quarterly results . according to the results , the revenue fell to $ 48.0 billion from $ 85.0 billion , a year ago . by what percent did the revenue fall ?", - "Output Program": [ - "n0 = 48.0\nn1 = 85.0\nt0 = n1 - n0\nt1 = t0 / n1\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "43.529411764705884" - ], - "split": "train" - }, - { - "Input": "during a sale , the price of a pair of shoes is marked down 13 % from the regular price . after the sale ends , the price goes back to the original price . what is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes ?", - "Output Program": [ - "n0 = 13.0\nt0 = n0 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "14.942528735632184" - ], - "split": "train" - }, - { - "Input": "a sum of money becomes 7 / 6 of itself in 4 years at a certain rate of simple interest . the rate per annum is ?", - "Output Program": [ - "n0 = 7.0\nn1 = 6.0\nn2 = 4.0\nt0 = n0 / n1\nt1 = t0 - 1.0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "4.166666666666669" - ], - "split": "train" - }, - { - "Input": "in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the rate in the remaining 40 overs to reach the target of 262 runs ?", - "Output Program": [ - "n0 = 10.0\nn1 = 3.2\nn2 = 40.0\nn3 = 262.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "5.75" - ], - "split": "train" - }, - { - "Input": "a man walking at a rate of 10 km / hr crosses a bridge in 10 minutes . the length of the bridge is ?", - "Output Program": [ - "n0 = 10.0\nn1 = 10.0\nt0 = n0 * 1000.0\nt1 = t0 / 60.0\nanswer = n1 * t1\nprint(answer)" - ], - "Output Answer": [ - "1666.6666666666665" - ], - "split": "train" - }, - { - "Input": "a student gets 60 % in one subject , 80 % in the other . to get an overall of 75 % how much should get in third subject .", - "Output Program": [ - "n0 = 60.0\nn1 = 80.0\nn2 = 75.0\nt0 = n0 + n1\nt1 = n2 * 3.0\nanswer = t1 - t0\nprint(answer)" - ], - "Output Answer": [ - "85" - ], - "split": "train" - }, - { - "Input": "john and jane went out for a dinner and they ordered the same dish . both used a 10 % discount coupon . john paid a 15 % tip over the original price of the dish , while jane paid the tip over the discounted price for the coupon . if john paid $ 0.36 more than jane , what was the original price of the dish ?", - "Output Program": [ - "n0 = 10.0\nn1 = 15.0\nn2 = 0.36\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t1\nt3 = t0 * t2\nt4 = t0 - t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "24.00000000000002" - ], - "split": "train" - }, - { - "Input": "a man sells an article at a profit of 25 % . if he had bought it at 20 % less and sold it for rs . 16.80 less , he would have gained 30 % . find the cost of the article .", - "Output Program": [ - "n0 = 25.0\nn1 = 20.0\nn2 = 16.8\nn3 = 30.0\nt0 = n0 + 100.0\nt1 = n3 + 100.0\nt2 = n2 * 100.0\nt3 = 100.0 - n1\nt4 = t1 * t3\nt5 = t4 / 100.0\nt6 = t0 - t5\nanswer = t2 / t6\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "the cost price of 20 articles is the same as the selling price of x articles . if the profit is 25 % then determine the value of x .", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nt0 = 1.0 + 4.0\nt1 = n0 * 4.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "120 is what percent of 80 ?", - "Output Program": [ - "n0 = 120.0\nn1 = 80.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "difference of two numbers is 1860 . if 7.5 % of the number is 12.5 % of the other number , find the number ?", - "Output Program": [ - "n0 = 1860.0\nn1 = 7.5\nn2 = 12.5\nt0 = n1 / n2\nt1 = 1.0 - t0\nt2 = n0 / t1\nanswer = t0 * t2\nprint(answer)" - ], - "Output Answer": [ - "2790" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article offering a discount of 4 % and earned a profit of 26 % . what would have been the percentage of profit earned if no discount was offered ?", - "Output Program": [ - "n0 = 4.0\nn1 = 26.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * 100.0\nt3 = t2 / t1\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "31.25" - ], - "split": "train" - }, - { - "Input": "a man bought 10 crates of mangoes for $ 160 total . if he lost 2 of the crates , at what price would he have to sell each of the remaining crates in order to earn a total profit of 25 percent of the total cost ?", - "Output Program": [ - "n0 = 10.0\nn1 = 160.0\nn2 = 2.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 - n2\nt2 = n1 * t0\nt3 = n1 + t2\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "on selling 15 balls at rs . 720 , there is a loss equal to the cost price of 5 balls . the cost price of a ball is :", - "Output Program": [ - "n0 = 15.0\nn1 = 720.0\nn2 = 5.0\nt0 = n0 - n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "72" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 528 after successive discount is 20 % and 10 % is ?", - "Output Program": [ - "n0 = 528.0\nn1 = 20.0\nn2 = 10.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "380.15999999999997" - ], - "split": "train" - }, - { - "Input": "the cost price of an article is 55 % of the marked price . calculate the gain percent after allowing a discount of 15 % .", - "Output Program": [ - "n0 = 55.0\nn1 = 15.0\nt0 = 100.0 - n1\nt1 = t0 / n0\nt2 = t1 - 1.0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "54.54545454545454" - ], - "split": "train" - }, - { - "Input": "sonika deposited rs . 4500 which amounted to rs . 8400 after 2 years at simple interest . had the interest been 4 % more . she would get how much ?", - "Output Program": [ - "n0 = 4500.0\nn1 = 8400.0\nn2 = 2.0\nn3 = 4.0\nt0 = n3 / 100.0\nt1 = n1 - n0\nt2 = t1 / n2\nt3 = t2 / n0\nt4 = t0 + t3\nt5 = n0 * t4\nt6 = n2 * t5\nanswer = n0 + t6\nprint(answer)" - ], - "Output Answer": [ - "8760" - ], - "split": "train" - }, - { - "Input": "the market value of a 10.5 % stock , in which an income of rs . 756 is derived by investing rs . 7500 , brokerage being 1 / 4 % , is :", - "Output Program": [ - "n0 = 10.5\nn1 = 756.0\nn2 = 7500.0\nn3 = 1.0\nn4 = 4.0\nt0 = n2 / n1\nt1 = n3 / n4\nt2 = n0 * t0\nanswer = t2 - t1\nprint(answer)" - ], - "Output Answer": [ - "103.91666666666667" - ], - "split": "train" - }, - { - "Input": "a man two flats for $ 675958 each . on one he gains 15 % while on the other he loses 15 % . how much does he gain or lose in the whole transaction ?", - "Output Program": [ - "n0 = 675958.0\nn1 = 15.0\nn2 = 15.0\nt0 = n1 + 100.0\nt1 = n0 + n0\nt2 = 100.0 - n1\nt3 = 100.0 / t0\nt4 = 100.0 / t2\nt5 = n0 * t3\nt6 = n0 * t4\nt7 = t5 + t6\nt8 = t7 - t1\nt9 = t8 / t7\nanswer = t9 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2.2500000000000084" - ], - "split": "train" - }, - { - "Input": "find the compound interest on $ 1200 for 3 years at 20 % p . a . if ci is component yearly ?", - "Output Program": [ - "n0 = 1200.0\nn1 = 3.0\nn2 = 20.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nt3 = n0 * t2\nanswer = t3 - n0\nprint(answer)" - ], - "Output Answer": [ - "873.5999999999999" - ], - "split": "train" - }, - { - "Input": "a , b and c enter into partnership . a invests some money at the beginning , b invests double the amount after 6 months , and c invests thrice the amount after 8 months . if the annual gain be rs . 19200 . a ' s share is ?", - "Output Program": [ - "n0 = 6.0\nn1 = 8.0\nn2 = 19200.0\nt0 = 1.0 * 12.0\nt1 = 12.0 - n0\nt2 = 12.0 - n1\nt3 = t1 * 2.0\nt4 = t2 * 3.0\nt5 = t0 + t3\nt6 = t5 + t4\nt7 = n2 / t6\nanswer = t7 * t0\nprint(answer)" - ], - "Output Answer": [ - "6400" - ], - "split": "train" - }, - { - "Input": "the profit earned by selling an article for rs . 832 is equal to the loss incurred when the same article is sold for rs . 448 . what should be the sale price for making 20 % profit ?", - "Output Program": [ - "n0 = 832.0\nn1 = 448.0\nn2 = 20.0\nt0 = n2 / 100.0\nt1 = n0 - n1\nt2 = t0 + 1.0\nt3 = t1 / 2.0\nt4 = n0 - t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "768" - ], - "split": "train" - }, - { - "Input": "a man sold 20 articles for $ 50 and gained 20 % . how many articles should he sell for $ 90 to incur a loss 20 % ?", - "Output Program": [ - "n0 = 20.0\nn1 = 50.0\nn2 = 20.0\nn3 = 90.0\nn4 = 20.0\nt0 = n1 * 100 / (100 + n0) # original_price_before gain\nt1 = n3 * 100 / (100 + 1e-5 - n0) # original price before loss\nt2 = t0 / n0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "53.99999325000085" - ], - "split": "train" - }, - { - "Input": "mohit sold an article for $ 21000 . had he offered a discount of 10 % on the selling price , he would have earned a profit of 8 % . what is the cost price of the article ?", - "Output Program": [ - "n0 = 21000.0\nn1 = 10.0\nn2 = 8.0\nt0 = n2 + 100.0\nt1 = n0 * n1\nt2 = t1 / 100.0\nt3 = n0 - t2\nt4 = t3 / t0\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "17500" - ], - "split": "train" - }, - { - "Input": "a shopkeeper cheats to the extent of 10 % while buying and selling , by using false weights . his total gain is .", - "Output Program": [ - "n0 = 10.0\nt0 = n0 * 2.0\nanswer = t0 + 1.0\nprint(answer)" - ], - "Output Answer": [ - "21" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 350 after successive discount is 20 % and 5 % is ?", - "Output Program": [ - "n0 = 350.0\nn1 = 20.0\nn2 = 5.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "266" - ], - "split": "train" - }, - { - "Input": "a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 1100 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 25.0\nn1 = 5.0\nn2 = 1100.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "55" - ], - "split": "train" - }, - { - "Input": "fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 8.64 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discount rates is 22 percent , what is the discount rate on pony jeans ?", - "Output Program": [ - "n0 = 15.0\nn1 = 18.0\nn2 = 8.64\nn3 = 5.0\nn4 = 3.0\nn5 = 2.0\nn6 = 22.0\nt0 = n6 / 100.0\nt1 = n1 * 2.0\nt2 = n0 * 3.0\nt3 = t0 * t1\nt4 = t2 - t1\nt5 = n2 - t3\nt6 = t5 / t4\nt7 = t0 - t6\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "13.999999999999993" - ], - "split": "train" - }, - { - "Input": "machine p and machine q are each used to manufacture 110 sprockets . it takes machine p 10 hours longer to produce 110 sprockets than machine q . machine q produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machine a produce ?", - "Output Program": [ - "n0 = 110.0\nn1 = 10.0\nn2 = 110.0\nn3 = 10.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n0 / t1\nt3 = n0 - t2\nanswer = t3 / n1\nprint(answer)" - ], - "Output Answer": [ - "1.0000000000000013" - ], - "split": "train" - }, - { - "Input": "in a certain company , a third of the workers do not have a retirement plan . 20 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 144 of the workers of that company are men , how many of the workers are women ?", - "Output Program": [ - "n0 = 20.0\nn1 = 40.0\nn2 = 144.0\nt0 = 1.0 / 3.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 * t1\nt4 = 1.0 - t0\nt5 = t2 * t4\nt6 = t0 - t3\nt7 = t5 + t6\nt8 = t4 - t5\nt9 = t3 + t8\nt10 = n2 / t7\nanswer = t9 * t10\nprint(answer)" - ], - "Output Answer": [ - "125.99999999999997" - ], - "split": "train" - }, - { - "Input": "what is the rate percent when the simple interest on rs . 800 amount to rs . 400 in 2 years ?", - "Output Program": [ - "n0 = 800.0\nn1 = 400.0\nn2 = 2.0\nt0 = n1 * 100.0\nt1 = n0 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "how much 60 % of 50 is greater than 30 % of 30 ?", - "Output Program": [ - "n0 = 60.0\nn1 = 50.0\nn2 = 30.0\nn3 = 30.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "21" - ], - "split": "train" - }, - { - "Input": "a , b and c enter into partnership . a invests some money at the beginning , b invests double the amount after 6 months , and c invests thrice the amount after 8 months . if the annual gain be rs . 18900 . a ' s share is ?", - "Output Program": [ - "n0 = 6.0\nn1 = 8.0\nn2 = 18900.0\nt0 = 1.0 * 12.0\nt1 = 12.0 - n0\nt2 = 12.0 - n1\nt3 = t1 * 2.0\nt4 = t2 * 3.0\nt5 = t0 + t3\nt6 = t5 + t4\nt7 = n2 / t6\nanswer = t7 * t0\nprint(answer)" - ], - "Output Answer": [ - "6300" - ], - "split": "train" - }, - { - "Input": "if albert \u2019 s monthly earnings rise by 30 % , he would earn $ 598 . if , instead , his earnings rise by only 35 % , how much ( in $ ) would he earn this month ?", - "Output Program": [ - "n0 = 30.0\nn1 = 598.0\nn2 = 35.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = n1 / t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "621" - ], - "split": "train" - }, - { - "Input": "a shopkeeper bought 600 oranges and 400 bananas . he found 15 % of oranges and 4 % of bananas were rotten . find the percentage of fruits in good condition ?", - "Output Program": [ - "n0 = 600.0\nn1 = 400.0\nn2 = 15.0\nn3 = 4.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = n0 * t1\nt4 = n1 * t2\nt5 = t3 + t4\nt6 = t0 - t5\nt7 = t6 / t0\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "89.4" - ], - "split": "train" - }, - { - "Input": "a small company reduced its faculty by approximately 13 percent to 181 employees . what was the original number of employees ?", - "Output Program": [ - "n0 = 13.0\nn1 = 181.0\nt0 = 100.0 - n0\nt1 = t0 / 100.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "208.04597701149424" - ], - "split": "train" - }, - { - "Input": "mr . hernandez , who was a resident of state x for only 9 months last year , had a taxable income of $ 42,500 for the year . if the state tax rate were 4 percent of the year \u2019 s taxable income prorated for the proportion of the year during which the taxpayer was a resident , what would be the amount of mr . hernandez \u2019 s state x tax for last year ?", - "Output Program": [ - "n0 = 9.0\nn1 = 42500.0\nn2 = 4.0\nt0 = n2 * 100.0\nt1 = 0.25 * 100.0\nt2 = 3.0 * 4.0\nt3 = t0 * 100.0\nt4 = t1 * 100.0\nt5 = t3 + t4\nt6 = t5 / 100.0\nt7 = t6 * 4.0\nt8 = n0 * t7\nanswer = t8 / t2\nprint(answer)" - ], - "Output Answer": [ - "1275" - ], - "split": "train" - }, - { - "Input": "if a man lost 10 % by selling oranges at the rate of 10 a rupee at how many a rupee must he sell them to gain 50 % ?", - "Output Program": [ - "n0 = 10.0\nn1 = 10.0\nn2 = 50.0\nt0 = n2 + 100.0\nt1 = 100.0 - n0\nt2 = n1 * t1\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "a candidate appearing for an examination has to secure 42 % marks to pass paper i . but he secured only 42 marks and failed by 22 marks . what is the maximum mark for paper i ?", - "Output Program": [ - "n0 = 42.0\nn1 = 42.0\nn2 = 22.0\nt0 = n1 + n2\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "152.38095238095238" - ], - "split": "train" - }, - { - "Input": "a company plans to gradually replace its fleet of 20 cars with newer models . at the end of every year starting with 2000 it retires 5 of its old cars and buys 6 new models . how many years did it take before the number of older cars left in the company ' s fleet was less than 50 percent of the fleet ?", - "Output Program": [ - "import math\nn0 = 20.0\nn1 = 2000.0\nn2 = 5.0\nn3 = 6.0\nn4 = 50.0\nt0 = 1.0 + 10.0\nt1 = n0 / t0\nt2 = t1 + 1.0\nanswer = math.floor(t2)\nprint(answer)" - ], - "Output Answer": [ - "2" - ], - "split": "train" - }, - { - "Input": "find the compound interest on $ 500 in 5 years at 5 % per annum , the interest being compounded yearly ?", - "Output Program": [ - "n0 = 500.0\nn1 = 5.0\nn2 = 5.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nt3 = n0 * t2\nanswer = t3 - n0\nprint(answer)" - ], - "Output Answer": [ - "138.14078125000015" - ], - "split": "train" - }, - { - "Input": "the present worth of rs . 338 due in 2 years at 4 % per annum compound interest is", - "Output Program": [ - "n0 = 338.0\nn1 = 2.0\nn2 = 4.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "312.49999999999994" - ], - "split": "train" - }, - { - "Input": "after decreasing 40 % in the price of an article costs rs . 1050 . find the actual cost of an article ?", - "Output Program": [ - "n0 = 40.0\nn1 = 1050.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "1750" - ], - "split": "train" - }, - { - "Input": "a merchant marks his goods up by 50 % and then offers a discount of 10 % on the marked price . what % profit does the merchant make after the discount ?", - "Output Program": [ - "n0 = 50.0\nn1 = 10.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "35" - ], - "split": "train" - }, - { - "Input": "i bought two books ; for rs . 460 . i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price . find the cost of the book sold at a loss ?", - "Output Program": [ - "n0 = 460.0\nn1 = 15.0\nn2 = 19.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = t0 + t1\nt3 = n0 * t0\nanswer = t3 / t2\nprint(answer)" - ], - "Output Answer": [ - "268.3333333333333" - ], - "split": "train" - }, - { - "Input": "in how many years will a sum of money doubles itself at 5 % per annum simple interest", - "Output Program": [ - "n0 = 5.0\n\nanswer = 100.0 / n0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "the banker \u00e2 \u20ac \u2122 s gain on a sum due 3 years hence at 17 % per annum is rs . 100 . the banker \u00e2 \u20ac \u2122 s discount is", - "Output Program": [ - "n0 = 3.0\nn1 = 17.0\nn2 = 100.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nt2 = t0 / t1\nanswer = n2 + t2\nprint(answer)" - ], - "Output Answer": [ - "296.07843137254906" - ], - "split": "train" - }, - { - "Input": "an error 4 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is :", - "Output Program": [ - "n0 = 4.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "8.16" - ], - "split": "train" - }, - { - "Input": "a 90 - liter solution of cool - drink is made from 5 % jasmine water . if 8 liters of jasmine and 2 liters of water were added to the solution , what percent of the solution is jasmine ?", - "Output Program": [ - "n0 = 90.0\nn1 = 5.0\nn2 = 8.0\nn3 = 2.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n2 + t1\nprint(answer)" - ], - "Output Answer": [ - "12.5" - ], - "split": "train" - }, - { - "Input": "martin has to secure 80 % marks to clear his exam of class 9 th . he got 200 marks and failed by 200 marks . what is the maximum marks ?", - "Output Program": [ - "n0 = 80.0\nn1 = 9.0\nn2 = 200.0\nn3 = 200.0\nt0 = n2 + n2\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "train" - }, - { - "Input": "if p gets 25 % more than q , then by what percent does q get less than p ?", - "Output Program": [ - "n0 = 25.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "if the cost price is 96 % of selling price then what is the profit percentage .", - "Output Program": [ - "n0 = 96.0\nt0 = 100.0 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "4.166666666666666" - ], - "split": "train" - }, - { - "Input": "a man buys a cycle for rs . 1750 and sells it at a loss of 8 % . what is the selling price of the cycle ?", - "Output Program": [ - "n0 = 1750.0\nn1 = 8.0\nt0 = 100.0 - n1\nt1 = n0 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1610" - ], - "split": "train" - }, - { - "Input": "a trader marked the selling price of an article at 50 % above the cost price . at the time of selling , he allows certain discount and suffers a loss of 1 % . he allowed a discount of :", - "Output Program": [ - "n0 = 50.0\nn1 = 1.0\nt0 = 2.0 + 3.0\nt1 = n0 + 100.0\nt2 = t0 * 2.0\nt3 = t2 + n1\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "7.333333333333333" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 400 after successive discount is 15 % and 5 % is ?", - "Output Program": [ - "n0 = 400.0\nn1 = 15.0\nn2 = 5.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "323" - ], - "split": "train" - }, - { - "Input": "a reduction of 20 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 800 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 20.0\nn1 = 5.0\nn2 = 800.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "32" - ], - "split": "train" - }, - { - "Input": "a dress on sale in a shop is marked at $ d . during the discount sale its price is reduced by 35 % . staff are allowed a further 30 % reduction on the discounted price . if a staff member buys the dress what will she have to pay in terms of d ?", - "Output Program": [ - "n0 = 35.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = 100.0 - n0\nt2 = t1 / 100.0\nt3 = t2 * t0\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "0.455" - ], - "split": "train" - }, - { - "Input": "rs . 500 amounts to rs . 670 in 5 years at simple interest . if the interest is increased by 2 % , it would amount to how much ?", - "Output Program": [ - "n0 = 500.0\nn1 = 670.0\nn2 = 5.0\nn3 = 2.0\nt0 = n3 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "552.0404016" - ], - "split": "train" - }, - { - "Input": "after successive discounts of 20 % , 10 % and 5 % a certain good is sold for rs . 6840 . find the actual price of the good .", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nn2 = 5.0\nn3 = 6840.0\nt0 = n3 * 100.0\nt1 = 100.0 - n0\nt2 = n1 * t1\nt3 = t2 / 100.0\nt4 = t1 - t3\nt5 = n2 * t4\nt6 = t5 / 100.0\nt7 = t4 - t6\nanswer = t0 / t7\nprint(answer)" - ], - "Output Answer": [ - "10000" - ], - "split": "train" - }, - { - "Input": "in a school of 900 students , 44 % wear blue shirts , 28 % wear red shirts , 10 % wear green shirts , and the remaining students wear other colors . how many students wear other colors ( not blue , not red , not green ) ?", - "Output Program": [ - "n0 = 900.0\nn1 = 44.0\nn2 = 28.0\nn3 = 10.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = n0 * t0\nt4 = n0 * t1\nt5 = n0 * t2\nt6 = t3 + t4\nt7 = t6 + t5\nanswer = n0 - t7\nprint(answer)" - ], - "Output Answer": [ - "162" - ], - "split": "train" - }, - { - "Input": "if c is 14 % of a and 40 % of b , what percent of a is b ?", - "Output Program": [ - "n0 = 14.0\nn1 = 40.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "35" - ], - "split": "train" - }, - { - "Input": "cricket match is conducted in us . the run rate of a cricket game was only 3.2 in first 10 over . what should be the run rate in the remaining 40 overs to reach the target of 222 runs ?", - "Output Program": [ - "n0 = 3.2\nn1 = 10.0\nn2 = 40.0\nn3 = 222.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "4.75" - ], - "split": "train" - }, - { - "Input": "a shopkeeper has 280 kg of apples . he sells 40 % of these at 10 % profit and remaining 60 % at 30 % profit . find his % profit on total .", - "Output Program": [ - "n0 = 280.0\nn1 = 40.0\nn2 = 10.0\nn3 = 60.0\nn4 = 30.0\nt0 = n2 + 100.0\nt1 = n4 + 100.0\nt2 = n0 * n1\nt3 = n0 * n3\nt4 = t2 / 100.0\nt5 = t0 / 100.0\nt6 = t3 / 100.0\nt7 = t1 / 100.0\nt8 = t4 * t5\nt9 = t6 * t7\nt10 = t8 + t9\nt11 = t10 - n0\nt12 = t11 * 100.0\nanswer = t12 / n0\nprint(answer)" - ], - "Output Answer": [ - "22.000000000000007" - ], - "split": "train" - }, - { - "Input": "a 8 % stock yielding 10 % is quoted at :", - "Output Program": [ - "n0 = 8.0\nn1 = 10.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "if it is assumed that 50 percent of those who receive a questionnaire by mail will respond and 300 responses are needed , what is the minimum number of questionnaires that should be mailed ?", - "Output Program": [ - "n0 = 50.0\nn1 = 300.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "an error 8 % in excess is made while measuring the side of a square . now what is the percentage of error in the calculated area of the square ?", - "Output Program": [ - "n0 = 8.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "16.64" - ], - "split": "train" - }, - { - "Input": "in a certain company , a third of the workers do not have a retirement plan . 20 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 176 of the workers of that company are men , how many of the workers are women ?", - "Output Program": [ - "n0 = 20.0\nn1 = 40.0\nn2 = 176.0\nt0 = 1.0 / 3.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 * t1\nt4 = 1.0 - t0\nt5 = t2 * t4\nt6 = t0 - t3\nt7 = t5 + t6\nt8 = t4 - t5\nt9 = t3 + t8\nt10 = n2 / t7\nanswer = t9 * t10\nprint(answer)" - ], - "Output Answer": [ - "153.99999999999997" - ], - "split": "train" - }, - { - "Input": "by weight , liquid x makes up 0.8 percent of solution a and 1.8 percent of solution b . if 200 grams of solution a are mixed with 700 grams of solution b , then liquid x accounts for what percent of the weight of the resulting solution ?", - "Output Program": [ - "n0 = 0.8\nn1 = 1.8\nn2 = 200.0\nn3 = 700.0\nt0 = n0 * n2\nt1 = n1 * n3\nt2 = t0 + t1\nanswer = t2 / 1000.0\nprint(answer)" - ], - "Output Answer": [ - "1.42" - ], - "split": "train" - }, - { - "Input": "the s . i . on a certain sum of money for 3 years at 5 % per annum is half the c . i . on rs . 4000 for 2 years at 10 % per annum . the sum placed on s . i . is ?", - "Output Program": [ - "n0 = 3.0\nn1 = 5.0\nn2 = 4000.0\nn3 = 2.0\nn4 = 10.0\nt0 = n4 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = n0 * t1\nt4 = t2**min(n3, 5)\nt5 = n2 * t4\nt6 = t5 - n2\nt7 = t6 / n3\nanswer = t7 / t3\nprint(answer)" - ], - "Output Answer": [ - "2800.0000000000027" - ], - "split": "train" - }, - { - "Input": "sahil purchased a machine at rs 11000 , then got it repaired at rs 5000 , then gave its transportation charges rs 1000 . then he sold it with 50 % of profit . at what price he actually sold it .", - "Output Program": [ - "n0 = 11000.0\nn1 = 5000.0\nn2 = 1000.0\nn3 = 50.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = t1 / 100.0\nt3 = n3 * t2\nanswer = t1 + t3\nprint(answer)" - ], - "Output Answer": [ - "25500" - ], - "split": "train" - }, - { - "Input": "walking 5 / 4 of his usual rate , a boy reaches his school 4 min early . find his usual time to reach the school ?", - "Output Program": [ - "n0 = 5.0\nn1 = 4.0\nn2 = 4.0\n\nanswer = n0 * n2\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "a 12 % stock yielding 8 % is quoted at ?", - "Output Program": [ - "n0 = 12.0\nn1 = 8.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "in an election between two candidates , the first candidate got 60 % of the votes and the second candidate got 480 votes . what was the total number of votes ?", - "Output Program": [ - "n0 = 60.0\nn1 = 480.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "1200" - ], - "split": "train" - }, - { - "Input": "a chemical supply company has 60 liters of a 45 % hno 3 solution . how many liters of pure undiluted hno 3 must the chemists add so that the resultant solution is a 50 % solution ?", - "Output Program": [ - "n0 = 60.0\nn1 = 45.0\nn2 = 3.0\nn3 = 3.0\nn4 = 50.0\nt0 = n0 / 2.0\nt1 = n0 * n1\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = t3 * 2.0\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "rs 50000 is divided into two parts one part is given to a person with 10 % interest and another part is given to a person with 20 % interest . at the end of first year he gets profit 7000 find money given by 10 % ?", - "Output Program": [ - "n0 = 50000.0\nn1 = 10.0\nn2 = 20.0\nn3 = 7000.0\nn4 = 10.0\nt0 = n1 / 100.0\nt1 = n0 * n2\nt2 = t1 / 100.0\nt3 = t2 - n3\nanswer = t3 / t0\nprint(answer)" - ], - "Output Answer": [ - "30000" - ], - "split": "train" - }, - { - "Input": "30 % of a number is more than 60 % of 150 by 120 . find the number ?", - "Output Program": [ - "n0 = 30.0\nn1 = 60.0\nn2 = 150.0\nn3 = 120.0\nt0 = n1 * n2\nt1 = t0 / 100.0\nt2 = n3 + t1\nt3 = t2 * 100.0\nanswer = t3 / n0\nprint(answer)" - ], - "Output Answer": [ - "700" - ], - "split": "train" - }, - { - "Input": "an investor deposited $ 5,000 to open a new savings account that earned 12 percent annual interest , compounded quarterly . if there were no other transactions in the account , what was the amount of money in the account 6 months after the account was opened ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 12.0\nn2 = 6.0\nt0 = 2.0 + 3.0\nt1 = n1 / 4.0\nt2 = t1 / 100.0\nt3 = t0 * 100.0\nt4 = t0 * 2.0\nt5 = t2 + 1.0\nt6 = t3 * t4\nt7 = t5**min(2.0, 5)\nanswer = t6 * t7\nprint(answer)" - ], - "Output Answer": [ - "5304.5" - ], - "split": "train" - }, - { - "Input": "in an institute , 60 % of the students are boys and the rest are girls . further 15 % of the boys and 7.5 % of the girls are getting a fee waiver . if the number of those getting a fee waiver is 90 , find the total number of students getting 50 % concessions if it is given that 50 % of those not getting a fee waiver are eligible to get half fee concession ?", - "Output Program": [ - "n0 = 60.0\nn1 = 15.0\nn2 = 7.5\nn3 = 90.0\nn4 = 50.0\nn5 = 50.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = n2 / 100.0\nt3 = t0 * t1\nt4 = 1.0 - t1\nt5 = 1.0 - t2\nt6 = 1.0 - t0\nt7 = t0 * t4\nt8 = t5 * t6\nt9 = t2 * t6\nt10 = t3 + t9\nt11 = t7 / 2.0\nt12 = t8 / 2.0\nt13 = t11 + t12\nt14 = n3 / t10\nanswer = t13 * t14\nprint(answer)" - ], - "Output Answer": [ - "330.00000000000006" - ], - "split": "train" - }, - { - "Input": "an agent , gets a commission of 4 % on the sales of cloth . if on a certain day , he gets rs . 12.50 as commission , the cloth sold through him on that day is worth", - "Output Program": [ - "n0 = 4.0\nn1 = 12.5\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "312.5" - ], - "split": "train" - }, - { - "Input": "a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 20 % while buying and by 20 % while selling . what is his percentage profit ?", - "Output Program": [ - "n0 = 20.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = 100.0 - n1\nt2 = t0 - t1\nt3 = t2 * 100.0\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a scuba diver descends at a rate of 32 feet per minute . a diver dive from a ship to search for a lost ship at the depth of 6400 feet below the sea level . . how long will he take to reach the ship ?", - "Output Program": [ - "n0 = 32.0\nn1 = 6400.0\n\nanswer = n1 / n0\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "the profit earned by selling an article for rs . 832 is equal to the loss incurred when the same article is sold for rs . 448 . what should be the sale price for making 80 % profit ?", - "Output Program": [ - "n0 = 832.0\nn1 = 448.0\nn2 = 80.0\nt0 = n2 / 100.0\nt1 = n0 - n1\nt2 = t0 + 1.0\nt3 = t1 / 2.0\nt4 = n0 - t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "1152" - ], - "split": "train" - }, - { - "Input": "a man buys an article for $ 110 . and sells it for $ 125 . find the gain percent ?", - "Output Program": [ - "n0 = 110.0\nn1 = 125.0\nt0 = n0 / 100.0\nt1 = n1 / t0\nanswer = t1 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "13.636363636363626" - ], - "split": "train" - }, - { - "Input": "harkamal purchased 8 kg of grapes at the rate of 80 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 8.0\nn1 = 80.0\nn2 = 9.0\nn3 = 55.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1135" - ], - "split": "train" - }, - { - "Input": "a man can row his boat with the stream at 26 km / h and against the stream in 12 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 26.0\nn1 = 12.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "7" - ], - "split": "train" - }, - { - "Input": "a man sells a car to his friend at 12 % loss . if the friend sells it for rs . 54000 and gains 20 % , the original c . p . of the car was :", - "Output Program": [ - "n0 = 12.0\nn1 = 54000.0\nn2 = 20.0\nt0 = n2 + 100.0\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t1 / t0\nt4 = t3 * 100.0\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "51136.36363636364" - ], - "split": "train" - }, - { - "Input": "what is rate of interest if principal . amount be 400 , simple interest 140 and time 2 year .", - "Output Program": [ - "n0 = 400.0\nn1 = 140.0\nn2 = 2.0\nt0 = n0 * n2\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "17.5" - ], - "split": "train" - }, - { - "Input": "the population of a village is 12000 . it increases annually at the rate of 24 % p . a . what will be its population after 2 years ?", - "Output Program": [ - "n0 = 12000.0\nn1 = 24.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "18451.2" - ], - "split": "train" - }, - { - "Input": "find the annual income derived by investing $ 6800 in 50 % stock at 136 .", - "Output Program": [ - "n0 = 6800.0\nn1 = 50.0\nn2 = 136.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" - ], - "Output Answer": [ - "2500" - ], - "split": "train" - }, - { - "Input": "a motorcyclist x drives along a circular fence at a rate of 2 rounds per hour and another motor cyclist y at a rate of 4 rounds per hour . after how long they will cross each other for the first time ?", - "Output Program": [ - "n0 = 2.0\nn1 = 4.0\nt0 = 2.0 * 60.0\nanswer = t0 / n1\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "a solution contains 8 parts of water for every 7 parts of lemonade syrup . how many parts of the solution should be removed and replaced with water so that the solution will now contain 30 % lemonade syrup ?", - "Output Program": [ - "n0 = 8.0\nn1 = 7.0\nn2 = 30.0\nt0 = n0 + n1\nt1 = 2.0 + 3.0\nt2 = n1 / t0\nt3 = 2.0 / t1\nt4 = t2 - t3\nt5 = t4 / t2\nanswer = t0 * t5\nprint(answer)" - ], - "Output Answer": [ - "2.1428571428571423" - ], - "split": "train" - }, - { - "Input": "sonika deposited rs . 8000 which amounted to rs . 9200 after 3 years at simple interest . had the interest been 2 % more . she would get how much ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 9200.0\nn2 = 3.0\nn3 = 2.0\nt0 = n3 / 100.0\nt1 = n1 - n0\nt2 = t1 / n2\nt3 = t2 / n0\nt4 = t0 + t3\nt5 = n0 * t4\nt6 = n2 * t5\nanswer = n0 + t6\nprint(answer)" - ], - "Output Answer": [ - "9680" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 550 after successive discount is 18 % and 12 % is ?", - "Output Program": [ - "n0 = 550.0\nn1 = 18.0\nn2 = 12.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "396.88" - ], - "split": "train" - }, - { - "Input": "an empty wooden vessel weighs 12 % of its total weight when filled with paint . if the weight of a partially filled vessel is one half that of a completely filled vessel , what fraction of the vessel is filled .", - "Output Program": [ - "n0 = 12.0\nt0 = n0 / 2.0\nt1 = n0 - 1.0\nt2 = t0 - 1.0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.45454545454545453" - ], - "split": "train" - }, - { - "Input": "a side of beef lost 50 percent of its weight in processing . if the side of beef weighed 750 pounds after processing , how many pounds did it weigh before processing ?", - "Output Program": [ - "n0 = 50.0\nn1 = 750.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "1500" - ], - "split": "train" - }, - { - "Input": "according to a recent student poll , 4 / 5 out of 25 members of the finance club are interested in a career in investment banking . if two students are chosen at random , what is the probability that at least one of them is interested in investment banking ?", - "Output Program": [ - "import scipy\nn0 = 4.0\nn1 = 5.0\nn2 = 25.0\nt0 = scipy.special.comb(n2, 2.0)\nt1 = n0 / n1\nt2 = n2 * t1\nt3 = n2 - t2\nt4 = scipy.special.comb(t3, 2.0)\nt5 = t0 - t4\nanswer = t5 / t0\nprint(answer)" - ], - "Output Answer": [ - "0.9666666666666667" - ], - "split": "train" - }, - { - "Input": "find the missing figures : ? % of 50 = 2.125", - "Output Program": [ - "n0 = 50.0\nn1 = 2.125\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "4.25" - ], - "split": "train" - }, - { - "Input": "a person borrows rs . 5000 for 2 years at 4 % p . a . simple interest . he immediately lends it to another person at 8 % p . a for 2 years . find his gain in the transaction per year .", - "Output Program": [ - "n0 = 5000.0\nn1 = 2.0\nn2 = 4.0\nn3 = 8.0\nn4 = 2.0\nt0 = n0 * n3\nt1 = n0 * n2\nt2 = n1 * t0\nt3 = n1 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nt6 = t4 - t5\nanswer = t6 / n1\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "money invested at x % , compounded annually , triples in value in approximately every 112 / x years . if $ 1500 is invested at a rate of 8 % , compounded annually , what will be its approximate worth in 28 years ?", - "Output Program": [ - "n0 = 112.0\nn1 = 1500.0\nn2 = 8.0\nn3 = 28.0\nt0 = n0 / n2\nt1 = n3 / t0\nt2 = 3.0**min(t1, 5)\nanswer = n1 * t2\nprint(answer)" - ], - "Output Answer": [ - "13500" - ], - "split": "train" - }, - { - "Input": "running at the same constant rate , 6 identical machines can produce a total of 270 bottles per minute . at this rate , how many bottles could 10 such machines produce in 4 minutes ?", - "Output Program": [ - "n0 = 6.0\nn1 = 270.0\nn2 = 10.0\nn3 = 4.0\nt0 = n1 / n0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "1800" - ], - "split": "train" - }, - { - "Input": "thirty percent of the members of a swim club have passed the lifesaving test . among the members who havenotpassed the test , 40 have taken the preparatory course and 30 have not taken the course . how many members are there in the swim club ?", - "Output Program": [ - "n0 = 40.0\nn1 = 30.0\nt0 = n0 + n1\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nanswer = t0 / t2\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "a student needs 60 % of the marks on a test to pass the test . if the student gets 80 marks and fails the test by 40 marks , find the maximum marks set for the test .", - "Output Program": [ - "n0 = 60.0\nn1 = 80.0\nn2 = 40.0\nt0 = n1 + n2\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "if a man lost 8 % by selling oranges at the rate of 18 a rupee at how many a rupee must he sell them to gain 45 % ?", - "Output Program": [ - "n0 = 8.0\nn1 = 18.0\nn2 = 45.0\nt0 = n2 + 100.0\nt1 = 100.0 - n0\nt2 = n1 * t1\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "11.420689655172414" - ], - "split": "train" - }, - { - "Input": "in an election , candidate a got 85 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favor of candidate ?", - "Output Program": [ - "n0 = 85.0\nn1 = 15.0\nn2 = 560000.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = 1.0 - t1\nt3 = n2 * t2\nanswer = t0 * t3\nprint(answer)" - ], - "Output Answer": [ - "404600" - ], - "split": "train" - }, - { - "Input": "mr . karan borrowed a certain amount at 6 % per annum simple interest for 9 years . after 9 years , he returned rs . 8110 / - . find out the amount that he borrowed .", - "Output Program": [ - "n0 = 6.0\nn1 = 9.0\nn2 = 9.0\nn3 = 8110.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nanswer = n3 / t2\nprint(answer)" - ], - "Output Answer": [ - "5266.233766233766" - ], - "split": "train" - }, - { - "Input": "a technician makes a round - trip to and from a certain service center by the same route . if the technician completes the drive to the center and then completes 10 percent of the drive from the center , what percent of the round - trip has the technician completed ?", - "Output Program": [ - "n0 = 10.0\nt0 = 100.0 / 2.0\nt1 = n0 * t0\nt2 = t1 / 100.0\nanswer = t0 + t2\nprint(answer)" - ], - "Output Answer": [ - "55" - ], - "split": "train" - }, - { - "Input": "john makes $ 60 a week from his job . he earns a raise and now makes $ 120 a week . what is the % increase ?", - "Output Program": [ - "n0 = 60.0\nn1 = 120.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "? % of 360 = 129.6", - "Output Program": [ - "n0 = 360.0\nn1 = 129.6\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "36" - ], - "split": "train" - }, - { - "Input": "x and y started a business by investing rs . 36000 and rs . 42000 respectively after 4 months z joined in the business with an investment of rs . 48000 , then find share of z in the profit of rs . 14300 ?", - "Output Program": [ - "n0 = 36000.0\nn1 = 42000.0\nn2 = 4.0\nn3 = 48000.0\nn4 = 14300.0\nt0 = 3.0 * n2\nt1 = n0 * t0\nt2 = n1 * t0\nt3 = t0 - n2\nt4 = t1 + t2\nt5 = n3 * t3\nt6 = t4 + t5\nt7 = n4 / t6\nanswer = t7 * t5\nprint(answer)" - ], - "Output Answer": [ - "4160" - ], - "split": "train" - }, - { - "Input": "in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the run rate in the remaining 10 overs to reach the target of 282 runs ?", - "Output Program": [ - "n0 = 10.0\nn1 = 3.2\nn2 = 10.0\nn3 = 282.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "if the cost price of 50 articles is equal to the selling price of 25 articles , then the gain or loss percent is ?", - "Output Program": [ - "n0 = 50.0\nn1 = 25.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = 100.0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "the owner of a furniture shop charges his customer 25 % more than the cost price . if a customer paid rs . 5600 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 25.0\nn1 = 5600.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "4480" - ], - "split": "train" - }, - { - "Input": "the salary of a typist was at first raised by 10 % and then the same was reduced by 5 % . if he presently draws rs . 6270 . what was his original salary ?", - "Output Program": [ - "n0 = 10.0\nn1 = 5.0\nn2 = 6270.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "6000" - ], - "split": "train" - }, - { - "Input": "the true discount on a bill of rs . 270 is rs . 45 . the banker ' s discount is", - "Output Program": [ - "n0 = 270.0\nn1 = 45.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "54" - ], - "split": "train" - }, - { - "Input": "a man buys an article for $ 100 . and sells it for $ 120 . find the gain percent ?", - "Output Program": [ - "n0 = 100.0\nn1 = 120.0\nt0 = n0 / 100.0\nt1 = n1 / t0\nanswer = t1 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "a person buys an article at rs . 500 . at what price should he sell the article so as to make a profit of 25 % ?", - "Output Program": [ - "n0 = 500.0\nn1 = 25.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "625" - ], - "split": "train" - }, - { - "Input": "p and q started a business investing rs 75000 and rs 15000 resp . in what ratio the profit earned after 2 years be divided between p and q respectively .", - "Output Program": [ - "n0 = 75000.0\nn1 = 15000.0\nn2 = 2.0\n\nanswer = n0 / n1\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "if the simple interest on a sum of money for 2 years at 5 % per annum is rs . 40 , what is the compound interest on the same sum at the rate and for the same time ?", - "Output Program": [ - "n0 = 2.0\nn1 = 5.0\nn2 = 40.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n2 / t1\nt3 = n1 * t2\nt4 = t3 / 100.0\nt5 = t4 + t2\nt6 = n1 * t5\nt7 = t6 / 100.0\nt8 = t5 + t7\nanswer = t8 - t2\nprint(answer)" - ], - "Output Answer": [ - "41" - ], - "split": "train" - }, - { - "Input": "in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 20 percent , but profits were 14 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?", - "Output Program": [ - "n0 = 2008.0\nn1 = 10.0\nn2 = 2009.0\nn3 = 20.0\nn4 = 14.0\nn5 = 2009.0\nn6 = 2008.0\nt0 = n3 / 100.0\nt1 = 1.0 - t0\nt2 = n4 * t1\nt3 = t2 / n1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "112.00000000000001" - ], - "split": "train" - }, - { - "Input": "an error 2 % in excess is made while measuring the side of a square . what is the percentage of error in the calculated area of the square ?", - "Output Program": [ - "n0 = 2.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "4.04" - ], - "split": "train" - }, - { - "Input": "at a certain university , 70 % of the professors are women , and 70 % of the professors are tenured . if 90 % of the professors are women , tenured , or both , then what percent of the men are tenured ?", - "Output Program": [ - "n0 = 70.0\nn1 = 70.0\nn2 = 90.0\nt0 = 100.0 - n0\nt1 = n2 - n0\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a person buys an article at rs . 350 . at what price should he sell the article so as to make a profit of 30 % ?", - "Output Program": [ - "n0 = 350.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "455" - ], - "split": "train" - }, - { - "Input": "if $ 5,000 is invested in an account that earns 8 % interest compounded semi - annually , then the interest earned after one year would be how much greater than if the $ 5,000 had been invested at 8 % simple yearly interest ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 8.0\nn2 = 5000.0\nn3 = 8.0\n\nanswer = n1 * 1.0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "of the 120 passengers on flight 750 , 45 % are female . 10 % of the passengers sit in first class , and the rest of the passengers sit in coach class . if 1 / 3 of the passengers in first class are male , how many females are there in coach class ?", - "Output Program": [ - "n0 = 120.0\nn1 = 750.0\nn2 = 45.0\nn3 = 10.0\nn4 = 1.0\nn5 = 3.0\nt0 = n2 / 100.0\nt1 = n3 / 100.0\nt2 = n0 * t0\nt3 = n0 * t1\nt4 = t3 / n5\nt5 = t3 - t4\nanswer = t2 - t5\nprint(answer)" - ], - "Output Answer": [ - "46" - ], - "split": "train" - }, - { - "Input": "in a certain candy store , 22 % of the customers are caught sampling the candy and are charged a small fine , but 8 % of the customers who sample the candy are not caught . what is the total percent of all customers who sample candy ?", - "Output Program": [ - "n0 = 22.0\nn1 = 8.0\nt0 = 100.0 - n1\nt1 = t0 / 100.0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "23.913043478260867" - ], - "split": "train" - }, - { - "Input": "on selling 20 balls at rs . 720 , there is a loss equal to the cost price of 5 balls . the cost price of a ball is :", - "Output Program": [ - "n0 = 20.0\nn1 = 720.0\nn2 = 5.0\nt0 = n0 - n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "48" - ], - "split": "train" - }, - { - "Input": "tom opened a shop investing rs . 30000 . jose joined him 2 months later , investing rs . 45000 . they earned a profit of rs . 54000 after completion of one year . what will be jose ' s share of profit ?", - "Output Program": [ - "n0 = 30000.0\nn1 = 2.0\nn2 = 45000.0\nn3 = 54000.0\nt0 = 2.0 * 3.0\nt1 = t0 * 2.0\nt2 = n0 * t1\nt3 = t1 - n1\nt4 = n2 * t3\nt5 = t4 + t2\nt6 = t2 / t5\nt7 = 1.0 - t6\nanswer = n3 * t7\nprint(answer)" - ], - "Output Answer": [ - "30000" - ], - "split": "train" - }, - { - "Input": "victor gets 95 % marks in examinations . if these are 285 marks , find the maximum marks .", - "Output Program": [ - "n0 = 95.0\nn1 = 285.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "300" - ], - "split": "train" - }, - { - "Input": "last month , john rejected 0.5 % of the products that he inspected and jane rejected 0.9 percent of the products that she inspected . if total of 0.75 percent of the products produced last month were rejected , what fraction of the products did jane inspect ?", - "Output Program": [ - "n0 = 0.5\nn1 = 0.9\nn2 = 0.75\nt0 = n2 - n0\nt1 = n1 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.625" - ], - "split": "train" - }, - { - "Input": "a shop sells 1 chocolate at the rate rupee 1 each . you can exchange 3 warppers for one chocolate . if you have rs . 15 , what is the maximum number of chocolates you can get ?", - "Output Program": [ - "n0 = 1.0\nn1 = 1.0\nn2 = 3.0\nn3 = 15.0\nt0 = n3 / n2\nt1 = n0 + t0\nt2 = n0 + t1\nanswer = n3 + t2\nprint(answer)" - ], - "Output Answer": [ - "22" - ], - "split": "train" - }, - { - "Input": "a person lent a certain sum of money at 4 % per annum at simple interest and in 8 years the interest amounted to rs . 204 less than the sum lent . what was the sum lent ?", - "Output Program": [ - "n0 = 4.0\nn1 = 8.0\nn2 = 204.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "300" - ], - "split": "train" - }, - { - "Input": "the credit card and a global payment processing companies have been suffering losses for some time now . a well known company recently announced its quarterly results . according to the results , the revenue fell to $ 42.0 billion from $ 69.0 billion , a year ago . by what percent did the revenue fall ?", - "Output Program": [ - "n0 = 42.0\nn1 = 69.0\nt0 = n1 - n0\nt1 = t0 / n1\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "39.130434782608695" - ], - "split": "train" - }, - { - "Input": "a retailer purchases shirts from a wholesaler and then sells the shirts in her store at a retail price that is 50 percent greater than the wholesale price . if the retailer decreases the retail price by 30 percent this will have the same effect as increasing the wholesale price by what percent ?", - "Output Program": [ - "n0 = 50.0\nn1 = 30.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "4.999999999999982" - ], - "split": "train" - }, - { - "Input": "in what time a sum of money double itself at 4 % per annum simple interest ?", - "Output Program": [ - "n0 = 4.0\nt0 = 100.0 * 100.0\nt1 = n0 * 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "$ 20000 will become $ 60000 at 20 % p . a . find the time ?", - "Output Program": [ - "n0 = 20000.0\nn1 = 60000.0\nn2 = 20.0\nt0 = n2 / 100.0\nt1 = n1 - n0\nt2 = n0 * t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "what amount does an investor receive if the investor invests $ 4000 at 10 % p . a . compound interest for two years , compounding done annually ?", - "Output Program": [ - "n0 = 4000.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "4840.000000000001" - ], - "split": "train" - }, - { - "Input": "walking 9 / 8 of his usual rate , a boy reaches his school 4 min early . find his usual time to reach the school ?", - "Output Program": [ - "n0 = 9.0\nn1 = 8.0\nn2 = 4.0\n\nanswer = n0 * n2\nprint(answer)" - ], - "Output Answer": [ - "36" - ], - "split": "train" - }, - { - "Input": "a particular library has 300 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 65 percent of books that were loaned out are returned and there are 244 books in the special collection at that time , how many books of the special collection were loaned out during that month ?", - "Output Program": [ - "n0 = 300.0\nn1 = 65.0\nn2 = 244.0\nt0 = n1 / 100.0\nt1 = n0 - n2\nt2 = 1.0 - t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "160" - ], - "split": "train" - }, - { - "Input": "in town x , 120 percent of the population are employed , and 80 percent of the population are employed males . what percent of the employed people in town x are females ?", - "Output Program": [ - "n0 = 120.0\nn1 = 80.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "train" - }, - { - "Input": "fresh grapes contain 85 % water by weight and raisins obtained by drying fresh grapes contain 25 % water by weight . how many kgs of fresh grapes are needed to get 20 kgs of raisins ?", - "Output Program": [ - "n0 = 85.0\nn1 = 25.0\nn2 = 20.0\nt0 = 100.0 - n1\nt1 = n2 * t0\nt2 = t1 / 100.0\nanswer = n0 + t2\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "tickets to a certain concert sell for $ 20 each . the first 10 people to show up at the ticket booth received a 40 % discount , and the next 20 received a 15 % discount . if 45 people bought tickets to the concert , what was the total revenue from ticket sales ?", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nn2 = 40.0\nn3 = 20.0\nn4 = 15.0\nn5 = 45.0\nt0 = n2 / 100.0\nt1 = n4 / 100.0\nt2 = n5 - n0\nt3 = 1.0 - t0\nt4 = t2 - n1\nt5 = 1.0 - t1\nt6 = n1 * t3\nt7 = n0 * t5\nt8 = t6 + t4\nt9 = t8 + t7\nanswer = n0 * t9\nprint(answer)" - ], - "Output Answer": [ - "760" - ], - "split": "train" - }, - { - "Input": "fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 9 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discounts rates is 33 percent , what is the discount rate on pony jeans ?", - "Output Program": [ - "n0 = 15.0\nn1 = 18.0\nn2 = 9.0\nn3 = 5.0\nn4 = 3.0\nn5 = 2.0\nn6 = 33.0\nt0 = n6 / 100.0\nt1 = n1 * n5\nt2 = n0 * n4\nt3 = t0 * t1\nt4 = t2 - t1\nt5 = n2 - t3\nt6 = t5 / t4\nt7 = t0 - t6\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "65.00000000000001" - ], - "split": "train" - }, - { - "Input": "a watch was sold at a loss of 16 % . if it was sold for rs . 140 more , there would have been a gain of 4 % . what is the cost price ?", - "Output Program": [ - "n0 = 16.0\nn1 = 140.0\nn2 = 4.0\nt0 = 100.0 + n2\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t0 - t2\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "700" - ], - "split": "train" - }, - { - "Input": "salad dressing p is made up of 30 % vinegar and 70 % oil , and salad dressing q contains 10 % vinegar and 90 % oil . if the two dressings are combined to produce a salad dressing that is 12 % vinegar , dressing p comprises what percentage of the new dressing ?", - "Output Program": [ - "n0 = 30.0\nn1 = 70.0\nn2 = 10.0\nn3 = 90.0\nn4 = 12.0\nt0 = n0 - n2\nt1 = n4 - n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "what is the compound interest paid on a sum of rs . 3500 for the period of 2 years at 10 % per annum .", - "Output Program": [ - "n0 = 3500.0\nn1 = 2.0\nn2 = 10.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nt3 = n0 * t2\nanswer = t3 - n0\nprint(answer)" - ], - "Output Answer": [ - "735.0000000000009" - ], - "split": "train" - }, - { - "Input": "in a certain company , a third of the workers do not have a retirement plan . 50 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 120 of the workers of that company are men , how many of the workers are women ?", - "Output Program": [ - "n0 = 50.0\nn1 = 40.0\nn2 = 120.0\nt0 = 1.0 / 3.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 * t1\nt4 = 1.0 - t0\nt5 = t2 * t4\nt6 = t0 - t3\nt7 = t5 + t6\nt8 = t4 - t5\nt9 = t3 + t8\nt10 = n2 / t7\nanswer = t9 * t10\nprint(answer)" - ], - "Output Answer": [ - "156.9230769230769" - ], - "split": "train" - }, - { - "Input": "a and b began business with rs . 2000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 630 find the share of a .", - "Output Program": [ - "n0 = 2000.0\nn1 = 4000.0\nn2 = 8.0\nn3 = 1000.0\nn4 = 1000.0\nn5 = 630.0\nt0 = n1 + n3\nt1 = n0 * n2\nt2 = n1 * n2\nt3 = n0 - n3\nt4 = 12.0 - n2\nt5 = t3 * t4\nt6 = t0 * t4\nt7 = t1 + t5\nt8 = t2 + t6\nt9 = t7 + t8\nt10 = n5 / t9\nanswer = t7 * t10\nprint(answer)" - ], - "Output Answer": [ - "175.00000000000003" - ], - "split": "train" - }, - { - "Input": "find the compound interest on $ 50000 in 2 years at 4 % per annum , the interest being compounded half - yearly ?", - "Output Program": [ - "n0 = 50000.0\nn1 = 2.0\nn2 = 4.0\nt0 = n2 / 100.0\nt1 = t0 / n1\nt2 = t1 + 1.0\nt3 = t2**min(n2, 5)\nt4 = n0 * t3\nanswer = t4 - n0\nprint(answer)" - ], - "Output Answer": [ - "4121.608" - ], - "split": "train" - }, - { - "Input": "a present value of a machine is $ 1200 . its value depletion rate is 10 % per annum then find the machine value after 2 years ?", - "Output Program": [ - "n0 = 1200.0\nn1 = 10.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "972.0000000000001" - ], - "split": "train" - }, - { - "Input": "the owner of a furniture shop charges his customer 24 % more than the cost price . if a customer paid rs . 7967 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 24.0\nn1 = 7967.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "6425" - ], - "split": "train" - }, - { - "Input": "a fair price shopkeeper takes 10 % profit on his goods . he lost 20 % goods during theft . his loss percent is ?", - "Output Program": [ - "n0 = 10.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "train" - }, - { - "Input": "cricket match is conducted in us . the run rate of a cricket game was only 3.2 in first 10 over . what should be the run rate in the remaining 40 overs to reach the target of 292 runs ?", - "Output Program": [ - "n0 = 3.2\nn1 = 10.0\nn2 = 40.0\nn3 = 292.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "6.5" - ], - "split": "train" - }, - { - "Input": "simple interest on a certain sum of money for 3 years at 8 % per annum is half the compound interest on rs . 4000 for 2 years at 10 % per annum . the sum placed on simple interest is :", - "Output Program": [ - "n0 = 3.0\nn1 = 8.0\nn2 = 4000.0\nn3 = 2.0\nn4 = 10.0\nt0 = n2 * n4\nt1 = t0 / 100.0\nt2 = n2 + t1\nt3 = n4 * t2\nt4 = t3 / 100.0\nt5 = t1 + t4\nt6 = t5 / n3\nt7 = t6 / n0\nt8 = t7 * 100.0\nanswer = t8 / n1\nprint(answer)" - ], - "Output Answer": [ - "1750" - ], - "split": "train" - }, - { - "Input": "after decreasing 20 % in the price of an article costs rs . 200 . find the actual cost of an article ?", - "Output Program": [ - "n0 = 20.0\nn1 = 200.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "250" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 480 after successive discount is 15 % and 25 % is ?", - "Output Program": [ - "n0 = 480.0\nn1 = 15.0\nn2 = 25.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "306" - ], - "split": "train" - }, - { - "Input": "if 20 % of a number = 1000 , then 120 % of that number will be ?", - "Output Program": [ - "n0 = 20.0\nn1 = 1000.0\nn2 = 120.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "6000" - ], - "split": "train" - }, - { - "Input": "tom purchased 8 kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 65 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 8.0\nn1 = 70.0\nn2 = 9.0\nn3 = 65.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1145" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 495 after successive discount is 15 % and 10 % is ?", - "Output Program": [ - "n0 = 495.0\nn1 = 15.0\nn2 = 10.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "378.675" - ], - "split": "train" - }, - { - "Input": "a fellow borrowed a certain sum of money at 8 % per annum at simple interest and in 8 years the interest amounted to rs . 900 less than the sum lent . what was the sum lent ?", - "Output Program": [ - "n0 = 8.0\nn1 = 8.0\nn2 = 900.0\nt0 = n0 * n0\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "2500" - ], - "split": "train" - }, - { - "Input": "when sold at a 40 % discount , a sweater nets the merchant a 30 % profit on the wholesale cost at which he initially purchased the item . by what % is the sweater marked up from wholesale at its normal retail price ?", - "Output Program": [ - "n0 = 40.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = 100.0 - n0\nt2 = t0 + 1.0\nt3 = t1 / t2\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "53.84615384615385" - ], - "split": "train" - }, - { - "Input": "the simple interest and the true discount on a certain sum for a given time and at a given rate are rs . 85 and rs . 78 respectively . the sum is :", - "Output Program": [ - "n0 = 85.0\nn1 = 78.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "947.1428571428571" - ], - "split": "train" - }, - { - "Input": "a cycle is bought for rs . 675 and sold for rs . 1080 , find the gain percent ?", - "Output Program": [ - "n0 = 675.0\nn1 = 1080.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "train" - }, - { - "Input": "kavi had a stock of 600 bags in his bookshop . he sold 25 on monday , 70 on tuesday , 100 on wednesday , 110 on thursday and 145 on friday . what percentage of the bags were not sold ?", - "Output Program": [ - "n0 = 600.0\nn1 = 25.0\nn2 = 70.0\nn3 = 100.0\nn4 = 110.0\nn5 = 145.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = n4 + t1\nt3 = n5 + t2\nt4 = n0 - t3\nt5 = t4 / n0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "a candidate got 10 % of the votes polled and he lost to his rival by 16000 votes . how many votes were cast ?", - "Output Program": [ - "n0 = 10.0\nn1 = 16000.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "20000" - ], - "split": "train" - }, - { - "Input": "jar a has 26 % more marbles than jar b . what percent of marbles from jar a need to be moved into jar b so that both jars have equal marbles ?", - "Output Program": [ - "n0 = 26.0\nt0 = n0 + 100.0\nt1 = n0 / 2.0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10.317460317460316" - ], - "split": "train" - }, - { - "Input": "the difference between simple and compound interest on rs . 1400 for one year at 10 % per annum reckoned half - yearly is ?", - "Output Program": [ - "n0 = 1400.0\nn1 = 10.0\nt0 = n1 / 2.0\nt1 = n1 / 100.0\nt2 = t1 + 1.0\nt3 = t0 / 100.0\nt4 = t3 + 1.0\nt5 = t4**min(2.0, 5)\nt6 = t5 - t2\nanswer = n0 * t6\nprint(answer)" - ], - "Output Answer": [ - "3.4999999999999254" - ], - "split": "train" - }, - { - "Input": "33 1 / 3 % of 330 ?", - "Output Program": [ - "n0 = 33.0\nn1 = 1.0\nn2 = 3.0\nn3 = 330.0\nt0 = n1 / n2\nt1 = n0 + t0\nt2 = n3 * t1\nanswer = t2 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "110" - ], - "split": "train" - }, - { - "Input": "the malibu country club needs to drain its pool for refinishing . the hose they use to drain it can remove 60 cubic feet of water per minute . if the pool is 40 feet wide by 150 feet long by 10 feet deep and is currently at 80 % capacity , how long will it take to drain the pool ?", - "Output Program": [ - "n0 = 60.0\nn1 = 40.0\nn2 = 150.0\nn3 = 10.0\nn4 = 80.0\nt0 = n4 / 100.0\nt1 = n1 * n2\nt2 = n3 * t1\nt3 = t0 * t2\nanswer = t3 / n0\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "train" - }, - { - "Input": "the difference between simple and compound interest on rs . 1300 for one year at 10 % per annum reckoned half - yearly is ?", - "Output Program": [ - "n0 = 1300.0\nn1 = 10.0\nt0 = n1 / 2.0\nt1 = n1 / 100.0\nt2 = t1 + 1.0\nt3 = t0 / 100.0\nt4 = t3 + 1.0\nt5 = t4**min(2.0, 5)\nt6 = t5 - t2\nanswer = n0 * t6\nprint(answer)" - ], - "Output Answer": [ - "3.2499999999999307" - ], - "split": "train" - }, - { - "Input": "some of 50 % - intensity red paint is replaced with 25 % solution of red paint such that the new paint intensity is 45 % . what fraction of the original paint was replaced ?", - "Output Program": [ - "n0 = 50.0\nn1 = 25.0\nn2 = 45.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 - t1\nt4 = t2 - t1\nanswer = t3 / t4\nprint(answer)" - ], - "Output Answer": [ - "0.19999999999999996" - ], - "split": "train" - }, - { - "Input": "if 45 % of z is 72 % of y and y is 75 % of x , what percent of x is z ?", - "Output Program": [ - "n0 = 45.0\nn1 = 72.0\nn2 = 75.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t1 / t2\nt4 = t0 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "some of 50 % - intensity red paint is replaced with 20 % solution of red paint such that the new paint intensity is 30 % . what fraction of the original paint was replaced ?", - "Output Program": [ - "n0 = 50.0\nn1 = 20.0\nn2 = 30.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 - t1\nt4 = t2 - t1\nanswer = t3 / t4\nprint(answer)" - ], - "Output Answer": [ - "0.6666666666666667" - ], - "split": "train" - }, - { - "Input": "after decreasing 50 % in the price of an article costs rs . 620 . find the actual cost of an article ?", - "Output Program": [ - "n0 = 50.0\nn1 = 620.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "1240" - ], - "split": "train" - }, - { - "Input": "if the compound interest on a certain sum of money for 7 years at 10 % per annum be rs . 993 , what would be the simple interest ?", - "Output Program": [ - "n0 = 7.0\nn1 = 10.0\nn2 = 993.0\nt0 = 3.0 * 100.0\nt1 = n1 * t0\nt2 = n1 * t1\nt3 = n0 * t2\nanswer = t3 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "2100" - ], - "split": "train" - }, - { - "Input": "a sum fetched a total simple interest of $ 4016.25 at the rate of 9 p . c . p . a . in 5 years . what is the sum ?", - "Output Program": [ - "n0 = 4016.25\nn1 = 9.0\nn2 = 5.0\nt0 = n0 * 100.0\nt1 = t0 / n1\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "8925" - ], - "split": "train" - }, - { - "Input": "an internet recently hired 8 new network , in addvertisement 20 network already employed . all new network cam from university a . in addition 75 % of computer addvertisement came from same university a . what fraction of original 20 network addvertisement came from same univerity a ? pls help to solve", - "Output Program": [ - "n0 = 8.0\nn1 = 20.0\nn2 = 75.0\nn3 = 20.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = t0 * t1\nt3 = t2 - n0\nanswer = t3 / n1\nprint(answer)" - ], - "Output Answer": [ - "0.65" - ], - "split": "train" - }, - { - "Input": "a , band c enter into partnership . a invests 3 times as much as b and b invests two - third of what c invests . at the end of the year , the profit earned is rs . 7700 . what is the share of b ?", - "Output Program": [ - "n0 = 3.0\nn1 = 7700.0\nt0 = 2.0 / n0\nt1 = 2.0 * n0\nt2 = t0 * n0\nt3 = t1 + t2\nt4 = t3 + n0\nt5 = 2.0 / t4\nanswer = n1 * t5\nprint(answer)" - ], - "Output Answer": [ - "1400" - ], - "split": "train" - }, - { - "Input": "in an election only two candidates contested . a candidate secured 70 % of the valid votes and won by a majority of 182 votes . find the total number of valid votes ?", - "Output Program": [ - "n0 = 70.0\nn1 = 182.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "455" - ], - "split": "train" - }, - { - "Input": "a cycle is bought for rs . 450 and sold for rs . 520 , find the gain percent ?", - "Output Program": [ - "n0 = 450.0\nn1 = 520.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "15.555555555555555" - ], - "split": "train" - }, - { - "Input": "if albert \u2019 s monthly earnings rise by 26 % , he would earn $ 693 . if , instead , his earnings rise by only 20 % , how much ( in $ ) would he earn this month ?", - "Output Program": [ - "n0 = 26.0\nn1 = 693.0\nn2 = 20.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = n1 / t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "660" - ], - "split": "train" - }, - { - "Input": "what is the normal price of an article sold at $ 36 after two successive discounts of 10 % and 20 % ?", - "Output Program": [ - "n0 = 36.0\nn1 = 10.0\nn2 = 20.0\nt0 = 100.0 - n1\nt1 = 100.0 - n2\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 * t3\nanswer = n0 / t4\nprint(answer)" - ], - "Output Answer": [ - "49.99999999999999" - ], - "split": "train" - }, - { - "Input": "albert buys 4 horses and 9 cows for rs . 13,400 . if he sells the horses at 10 % profit and the cows at 20 % profit , then he earns a total profit of rs . 1880 . the cost of a horse is ?", - "Output Program": [ - "n0 = 4.0\nn1 = 9.0\nn2 = 13400.0\nn3 = 10.0\nn4 = 20.0\nn5 = 1880.0\n\nanswer = n4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2000" - ], - "split": "train" - }, - { - "Input": "a sum was put at simple interest at a certain rate for 10 years . had it been put at 5 % higher rate , it would have fetched rs . 200 more . what was the sum ?", - "Output Program": [ - "n0 = 10.0\nn1 = 5.0\nn2 = 200.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "a glass was filled with 25 ounces of water , and 0.04 ounce of the water evaporated each day during a 10 - day period . what percent of the original amount of water evaporated during this period ?", - "Output Program": [ - "n0 = 25.0\nn1 = 0.04\nn2 = 10.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "1.6" - ], - "split": "train" - }, - { - "Input": "vijay lent out an amount rs . 10000 into two parts , one at 8 % p . a . and the remaining at 10 % p . a . both on simple interest . at the end of the year he received rs . 850 as total interest . what was the amount he lent out at 8 % pa . a ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 8.0\nn2 = 10.0\nn3 = 850.0\nn4 = 8.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n0 * t1\nt3 = t0 + t2\nt4 = t3 - n3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "15008.000000000004" - ], - "split": "train" - }, - { - "Input": "running at the same rate , 8 identical machines can produce 560 paperclips a minute . at this rate , how many paperclips could 30 machines produce in 6 minutes ?", - "Output Program": [ - "n0 = 8.0\nn1 = 560.0\nn2 = 30.0\nn3 = 6.0\nt0 = n2 / n0\nt1 = n1 * t0\nanswer = n3 * t1\nprint(answer)" - ], - "Output Answer": [ - "12600" - ], - "split": "train" - }, - { - "Input": "shekhar started a business investing rs . 25,000 in 1999 . in 2000 , he invested an additional amount of rs . 10,000 and rajeev joined him with an amount of rs . 35,000 . in 2001 , shekhar invested another additional amount of rs . 10,000 and jatin joined them with an amount of rs . 35,000 . what will be rajeev \u2019 s share in the profit of rs . 1 , 50,000 earned at the end of 3 years from the start of the business in 1999 ? .", - "Output Program": [ - "n0 = 25000.0\nn1 = 1999.0\nn2 = 2000.0\nn3 = 10000.0\nn4 = 35000.0\nn5 = 2001.0\nn6 = 10000.0\nn7 = 35000.0\nn8 = 1.0\nn9 = 50000.0\nn10 = 3.0\nn11 = 1999.0\nt0 = 2.0 + 3.0\nt1 = 3.0 + 4.0\nt2 = t0 * 3.0\nt3 = t0 * 2.0\nt4 = t0 * t0\nt5 = t1 * t0\nt6 = t3 * 100.0\nt7 = t3 * t6\nt8 = t4 * t6\nt9 = t5 * t6\nt10 = t2 * t7\nt11 = t8 * 3.0\nt12 = t9 * 2.0\nt13 = t7 * 2.0\nt14 = t11 + t12\nt15 = t14 + t13\nt16 = t15 + t7\nt17 = t16 + t9\nt18 = t10 / t17\nanswer = t18 * t12\nprint(answer)" - ], - "Output Answer": [ - "50000" - ], - "split": "train" - }, - { - "Input": "if the simple interest on a certain sum of money for 7 years is one \u2013 fifth of the sum , then the rate of interest per annum is", - "Output Program": [ - "n0 = 7.0\nt0 = 1.0 + 4.0\nt1 = 100.0 / t0\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "2.857142857142857" - ], - "split": "train" - }, - { - "Input": "an empty fuel tank with a capacity of 200 gallons was filled partially with fuel a and then to capacity with fuel b . fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume . if the full fuel tank contains 24 gallons of ethanol , how many gallons of fuel a were added ?", - "Output Program": [ - "n0 = 200.0\nn1 = 12.0\nn2 = 16.0\nn3 = 24.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 * t0\nt3 = t0 - t1\nt4 = t2 - n3\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "199.99999999999997" - ], - "split": "train" - }, - { - "Input": "a person buys an article at rs . 500 . at what price should he sell the article so as to make a profit of 60 % ?", - "Output Program": [ - "n0 = 500.0\nn1 = 60.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "train" - }, - { - "Input": "what will be the difference between simple and compound interest at 6 % per annum on a sum of rs . 1000 after 4 years ?", - "Output Program": [ - "n0 = 6.0\nn1 = 1000.0\nn2 = 4.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = n1 * t0\nt3 = n2 * t2\nt4 = t1**min(n2, 5)\nt5 = n1 * t4\nt6 = t5 - n1\nanswer = t6 - t3\nprint(answer)" - ], - "Output Answer": [ - "22.476960000000417" - ], - "split": "train" - }, - { - "Input": "in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the rate in the remaining 40 overs to reach the target of 292 runs ?", - "Output Program": [ - "n0 = 10.0\nn1 = 3.2\nn2 = 40.0\nn3 = 292.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "6.5" - ], - "split": "train" - }, - { - "Input": "there is 60 lit of milk and water in which milk forms 84 % . howmuch water must be added to this solution to make it solution in which milk forms 60 %", - "Output Program": [ - "n0 = 60.0\nn1 = 84.0\nn2 = 60.0\nt0 = 100.0 / n2\nt1 = n0 * n1\nt2 = t1 / 100.0\nt3 = t0 * t2\nanswer = t3 - n0\nprint(answer)" - ], - "Output Answer": [ - "24" - ], - "split": "train" - }, - { - "Input": "a shopkeeper loses 15 % , if an article is sold for rs . 119 . what should be the selling price of the article to gain 20 % ?", - "Output Program": [ - "n0 = 15.0\nn1 = 119.0\nn2 = 20.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = 1.0 - t0\nt3 = n1 / t2\nt4 = t3 * t1\nanswer = t3 + t4\nprint(answer)" - ], - "Output Answer": [ - "168" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 390 after successive discount is 15 % and 25 % is ?", - "Output Program": [ - "n0 = 390.0\nn1 = 15.0\nn2 = 25.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "248.625" - ], - "split": "train" - }, - { - "Input": "in a sample of 800 high school students in which all students are either freshmen , sophomores , juniors , or seniors , 23 percent are juniors and 75 percent are not sophomores . if there are 160 seniors , how many more freshmen than sophomores are there among the sample of students ?", - "Output Program": [ - "n0 = 800.0\nn1 = 23.0\nn2 = 75.0\nn3 = 160.0\nt0 = n3 / n0\nt1 = 100.0 - n2\nt2 = t0 * 100.0\nt3 = n0 * t1\nt4 = t3 / 100.0\nt5 = 100.0 - t2\nt6 = t5 - n1\nt7 = t6 - t1\nt8 = n0 * t7\nt9 = t8 / 100.0\nanswer = t9 - t4\nprint(answer)" - ], - "Output Answer": [ - "56" - ], - "split": "train" - }, - { - "Input": "the manager of a produce market purchased a quantity of tomatoes for $ 0.80 per pound . due to improper handling , 10 percent of the tomatoes , by weight , were ruined and discarded . at what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 9 percent of the cost of the tomatoes .", - "Output Program": [ - "n0 = 0.8\nn1 = 10.0\nn2 = 9.0\nt0 = n2 / 100.0\nt1 = 100.0 - n1\nt2 = t0 + 1.0\nt3 = t1 / 100.0\nt4 = n0 / t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "0.968888888888889" - ], - "split": "train" - }, - { - "Input": "a 14 % stock yielding 8 % is quoted at ?", - "Output Program": [ - "n0 = 14.0\nn1 = 8.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "175" - ], - "split": "train" - }, - { - "Input": "two years ago , ram put $ 1,000 into a savings account . at the end of the first year , his account had accrued $ 100 in interest bringing his total balance to $ 1,100 . the next year , his account balance increased by 20 % . at the end of the two years , by what percent has sam ' s account balance increased from his initial deposit of $ 1,000 ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 100.0\nn2 = 1100.0\nn3 = 20.0\nn4 = 1000.0\nt0 = n3 / n1\nt1 = n2 * t0\nt2 = n1 + t1\nt3 = t2 / n0\nanswer = t3 * n1\nprint(answer)" - ], - "Output Answer": [ - "32" - ], - "split": "train" - }, - { - "Input": "dhoni spent 20 percent of his earning last month on rent and 5 percent less than what he spent on rent to purchase a new dishwasher . what percent of last month ' s earning did dhoni have left over ?", - "Output Program": [ - "n0 = 20.0\nn1 = 5.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nt2 = n0 * t1\nt3 = n0 + t2\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "61" - ], - "split": "train" - }, - { - "Input": "find the 25 % of rs . 400 .", - "Output Program": [ - "n0 = 25.0\nn1 = 400.0\nt0 = n0 / 100.0\nanswer = n1 * t0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "a shop owner sells 40 mtr of cloth and gains sp of 10 mtrs . find the gain % ?", - "Output Program": [ - "n0 = 40.0\nn1 = 10.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "train" - }, - { - "Input": "ajay spends 50 % of his monthly income on household items , 25 % of his monthly income on buying cloths , 15 % of his monthly income on medicines and saves the remaining amount which is rs . 9000 . find his monthly income .", - "Output Program": [ - "n0 = 50.0\nn1 = 25.0\nn2 = 15.0\nn3 = 9000.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = 100.0 - t1\nt3 = t2 / 100.0\nanswer = n3 / t3\nprint(answer)" - ], - "Output Answer": [ - "90000" - ], - "split": "train" - }, - { - "Input": "what is the difference between 62 % of 150 nd 20 % of 250 .", - "Output Program": [ - "n0 = 62.0\nn1 = 150.0\nn2 = 20.0\nn3 = 250.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "43" - ], - "split": "train" - }, - { - "Input": "a small company reduced its faculty by approximately 15 percent to 195 employees . what was the original number of employees ?", - "Output Program": [ - "n0 = 15.0\nn1 = 195.0\nt0 = 100.0 - n0\nt1 = t0 / 100.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "229.41176470588235" - ], - "split": "train" - }, - { - "Input": "henry earns $ 120 a week from his job . his income increased and now makes $ 180 a week . what is the percent increase ?", - "Output Program": [ - "n0 = 120.0\nn1 = 180.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "if 5 % more is gained by selling an article for rs . 360 than by selling it for rs . 340 , the cost of the article is", - "Output Program": [ - "n0 = 5.0\nn1 = 360.0\nn2 = 340.0\nt0 = n0 / 100.0\nt1 = n1 - n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "weights of two friends ram and shyam are in the ratio 6 : 5 . if ram ' s weight is increased by 10 % and total weight of ram and shyam become 82.8 kg , with an increases of 15 % . by what percent did the weight of shyam has to be increased ?", - "Output Program": [ - "n0 = 6.0\nn1 = 5.0\nn2 = 10.0\nn3 = 82.8\nn4 = 15.0\nt0 = n0 / n1\nt1 = n4 - n2\nt2 = t0 * t1\nanswer = n4 + t2\nprint(answer)" - ], - "Output Answer": [ - "21" - ], - "split": "train" - }, - { - "Input": "6 / 8 of the population of the country of venezia lives in montague province , while the rest lives in capulet province . in the upcoming election , 80 % of montague residents support romeo , while 70 % of capulet residents support juliet ; each resident of venezia supports exactly one of these two candidates . rounded if necessary to the nearest percent , the probability that a juliet supporter chosen at random resides in capulet is", - "Output Program": [ - "n0 = 6.0\nn1 = 8.0\nn2 = 80.0\nn3 = 70.0\nt0 = n3 / 100.0\nt1 = n0 / n1\nt2 = n1 - n0\nt3 = 100.0 - n2\nt4 = t2 / n1\nt5 = t3 / 100.0\nt6 = t0 * t4\nt7 = t5 * t1\nt8 = t7 + t6\nt9 = t6 / t8\nanswer = t9 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "53.84615384615385" - ], - "split": "train" - }, - { - "Input": "on increasing the price of t . v . sets by 70 % , their sale decreases by 20 % . what is the effect on the revenue receipts of the shop ?", - "Output Program": [ - "n0 = 70.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t2 + 100.0\nanswer = t0 - t3\nprint(answer)" - ], - "Output Answer": [ - "36" - ], - "split": "train" - }, - { - "Input": "a , b , and c were started a business , the total profit for one year is $ 56700 . the profit sharing ratio is 8 : 9 : 10 ( according to their investment they divide their profit ) . what is the profit of c ?", - "Output Program": [ - "n0 = 56700.0\nn1 = 8.0\nn2 = 9.0\nn3 = 10.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = n3 / t1\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "21000" - ], - "split": "train" - }, - { - "Input": "from january 1 , 2015 , to january 1 , 2017 , the number of people enrolled in health maintenance organizations increased by 8 percent . the enrollment on january 1 , 2017 , was 45 million . how many million people , to the nearest million , were enrolled in health maintenance organizations on january 1 , 2015 ?", - "Output Program": [ - "n0 = 1.0\nn1 = 2015.0\nn2 = 1.0\nn3 = 2017.0\nn4 = 8.0\nn5 = 1.0\nn6 = 2017.0\nn7 = 45.0\nn8 = 1.0\nn9 = 2015.0\nt0 = n4 + 100.0\nt1 = 100.0 / t0\nanswer = n7 * t1\nprint(answer)" - ], - "Output Answer": [ - "41.666666666666664" - ], - "split": "train" - }, - { - "Input": "in a public show 75 % of the seats were filled . if there were 700 seats in the hall , how many seats were vacant ?", - "Output Program": [ - "n0 = 75.0\nn1 = 700.0\nt0 = 100.0 - n0\nt1 = n1 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "175" - ], - "split": "train" - }, - { - "Input": "how many litres of pure acid are there in 12 litres of a 40 % solution", - "Output Program": [ - "n0 = 12.0\nn1 = 40.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "4.800000000000001" - ], - "split": "train" - }, - { - "Input": "a survey was sent to 80 customers , 7 of whom responded . then the survey was redesigned and sent to another 63 customers , 9 of whom responded . by approximately what percent did the response rate increase from the original survey to the redesigned survey ?", - "Output Program": [ - "import math\nn0 = 80.0\nn1 = 7.0\nn2 = 63.0\nn3 = 9.0\nt0 = n3 / n2\nt1 = n1 / n0\nt2 = t0 - t1\nt3 = t2 * 100.0\nanswer = math.floor(t3)\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "during a certain season , a team won 60 percent of its first 100 games and 50 percent of its remaining games . if the team won 70 percent of its games for the entire season , what was the total number of games that the team played ?", - "Output Program": [ - "n0 = 60.0\nn1 = 100.0\nn2 = 50.0\nn3 = 70.0\nt0 = n3 / n1\nt1 = n2 / n1\nt2 = n0 - n3\nt3 = t0 - t1\nt4 = t2 / t3\nanswer = n1 + t4\nprint(answer)" - ], - "Output Answer": [ - "49.999999999999986" - ], - "split": "train" - }, - { - "Input": "what will be the difference between simple and compound interest @ 25 % per annum on a sum of $ 3600 after 2 years ?", - "Output Program": [ - "n0 = 25.0\nn1 = 3600.0\nn2 = 2.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = n1 * t0\nt3 = n2 * t2\nt4 = t1**min(n2, 5)\nt5 = n1 * t4\nt6 = t5 - n1\nanswer = t6 - t3\nprint(answer)" - ], - "Output Answer": [ - "225" - ], - "split": "train" - }, - { - "Input": "on a sum of money , the s . i . for 2 years is $ 600 , while the c . i . is $ 615 , the rate of interest being the same in both the cases . the rate of interest is ?", - "Output Program": [ - "n0 = 2.0\nn1 = 600.0\nn2 = 615.0\nt0 = n1 / n0\nt1 = n2 - n1\nt2 = t1 * 100.0\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "a is a working partner and b is a sleeping partner in the business . a puts in rs . 2000 and b rs . 3000 , a receives 10 % of the profit for managing the business the rest being divided in proportion of their capitals . out of a total profit of rs . 9600 , money received by a is ?", - "Output Program": [ - "n0 = 2000.0\nn1 = 3000.0\nn2 = 10.0\nn3 = 9600.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = n1 / t0\nt3 = 1.0 - t1\nt4 = n3 * t3\nt5 = t2 * t4\nanswer = n3 - t5\nprint(answer)" - ], - "Output Answer": [ - "4416" - ], - "split": "train" - }, - { - "Input": "a fruit seller sells mangoes at the rate of rs . 9 per kg and thereby loses 20 % . at what price per kg , he should have sold them to make a profit of 5 % ?", - "Output Program": [ - "n0 = 9.0\nn1 = 20.0\nn2 = 5.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = n0 * t0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "11.8125" - ], - "split": "train" - }, - { - "Input": "if the simple interest on a certain sum of money for 8 years is one \u2013 fifth of the sum , then the rate of interest per annum is", - "Output Program": [ - "n0 = 8.0\nt0 = 1.0 + 4.0\nt1 = 100.0 / t0\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "2.5" - ], - "split": "train" - }, - { - "Input": "rani bought more apples than oranges . she sells apples at \u20b9 23 apiece and makes 15 % profit . she sells oranges at \u20b9 10 apiece and makes 25 % profit . if she gets \u20b9 653 after selling all the apples and oranges , find her profit percentage q .", - "Output Program": [ - "n0 = 23.0\nn1 = 15.0\nn2 = 10.0\nn3 = 25.0\nn4 = 653.0\nt0 = n1 + 2.0\nt1 = n3 / 100.0\nt2 = n2 * 2.0\nt3 = t2 + 1.0\nt4 = t1 + 1.0\nt5 = n2 / t4\nt6 = t3 * t2\nt7 = t0 * t5\nt8 = t6 + t7\nt9 = n4 - t8\nt10 = t9 / t8\nanswer = t10 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "17.446043165467625" - ], - "split": "train" - }, - { - "Input": "x and y started a business by investing rs . 36000 and rs . 42000 respectively after 4 months z joined in the business with an investment of rs . 48000 , then find share of z in the profit of rs . 13970 ?", - "Output Program": [ - "n0 = 36000.0\nn1 = 42000.0\nn2 = 4.0\nn3 = 48000.0\nn4 = 13970.0\nt0 = 3.0 * n2\nt1 = n0 * t0\nt2 = n1 * t0\nt3 = t0 - n2\nt4 = t1 + t2\nt5 = n3 * t3\nt6 = t4 + t5\nt7 = n4 / t6\nanswer = t7 * t5\nprint(answer)" - ], - "Output Answer": [ - "4064" - ], - "split": "train" - }, - { - "Input": "the banker \u00e2 \u20ac \u2122 s discount of a certain sum of money is rs . 42 and the true discount on the same sum for the same time is rs . 36 . the sum due is", - "Output Program": [ - "n0 = 42.0\nn1 = 36.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "252" - ], - "split": "train" - }, - { - "Input": "the true discount on a bill of rs . 2560 is rs . 360 . what is the banker ' s discount ?", - "Output Program": [ - "n0 = 2560.0\nn1 = 360.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "418.9090909090909" - ], - "split": "train" - }, - { - "Input": "a man took loan from a bank at the rate of 4 % p . a . s . i . after 10 years he had to pay rs . 2000 interest only for the period . the principal amount borrowed by him was ?", - "Output Program": [ - "n0 = 4.0\nn1 = 10.0\nn2 = 2000.0\nt0 = n2 * 100.0\nt1 = t0 / n1\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "5000" - ], - "split": "train" - }, - { - "Input": "john had a stock of 1400 books in his bookshop . he sold 62 on monday , 62 on tuesday , 60 on wednesday , 48 on thursday and 40 on friday . what percentage of the books were not sold ?", - "Output Program": [ - "n0 = 1400.0\nn1 = 62.0\nn2 = 62.0\nn3 = 60.0\nn4 = 48.0\nn5 = 40.0\nt0 = n1 + n2\nt1 = n3 + n4\nt2 = t0 + t1\nt3 = n5 + t2\nt4 = n0 - t3\nt5 = t4 / n0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "80.57142857142857" - ], - "split": "train" - }, - { - "Input": "in 1998 the profits of company n were 10 percent of revenues . in 1999 , the revenues of company n fell by 30 percent , but profits were 20 percent of revenues . the profits in 1999 were what percent of the profits in 1998 ?", - "Output Program": [ - "n0 = 1998.0\nn1 = 10.0\nn2 = 1999.0\nn3 = 30.0\nn4 = 20.0\nn5 = 1999.0\nn6 = 1998.0\nt0 = n4 / 100.0\nt1 = n3 / 100.0\nt2 = n1 / 100.0\nt3 = 1.0 - t1\nt4 = t0 * t3\nt5 = t4 / t2\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "139.99999999999997" - ], - "split": "train" - }, - { - "Input": "the effective annual rate of interest corresponding to a nominal rate of 6 % per annum payable half - yearly is ?", - "Output Program": [ - "n0 = 6.0\nt0 = n0 / 2.0\nt1 = t0 + t0\nt2 = t0 * t0\nt3 = t2 / 100.0\nanswer = t1 + t3\nprint(answer)" - ], - "Output Answer": [ - "6.09" - ], - "split": "train" - }, - { - "Input": "a man sold 20 articles for $ 60 and gained 20 % . how many articles should he sell for $ 50 to incur a loss 20 % ?", - "Output Program": [ - "n0 = 20.0\nn1 = 60.0\nn2 = 20.0\nn3 = 50.0\nn4 = 20.0\nt0 = n1 * 100 / (100 + n0) # original_price_before gain\nt1 = n3 * 100 / (100 + 1e-5 - n0) # original price before loss\nt2 = t0 / n0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "24.999996875000388" - ], - "split": "train" - }, - { - "Input": "rani bought more apples than oranges . she sells apples at \u20b9 23 apiece and makes 15 % profit . she sells oranges at \u20b9 10 apiece and makes 25 % profit . if she gets \u20b9 653 after selling all the apples and oranges , find her profit percentage .", - "Output Program": [ - "n0 = 23.0\nn1 = 15.0\nn2 = 10.0\nn3 = 25.0\nn4 = 653.0\nt0 = n1 + 2.0\nt1 = n3 / 100.0\nt2 = n2 * 2.0\nt3 = t2 + 1.0\nt4 = t1 + 1.0\nt5 = n2 / t4\nt6 = t3 * t2\nt7 = t0 * t5\nt8 = t6 + t7\nt9 = n4 - t8\nt10 = t9 / t8\nanswer = t10 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "17.446043165467625" - ], - "split": "train" - }, - { - "Input": "sheela deposits rs . 4500 in bank savings account . if this is 28 % of her monthly income . what is her monthly income in ?", - "Output Program": [ - "n0 = 4500.0\nn1 = 28.0\nt0 = n0 * 100.0\nanswer = t0 / n1\nprint(answer)" - ], - "Output Answer": [ - "16071.42857142857" - ], - "split": "train" - }, - { - "Input": "a side of beef lost 35 percent of its weight in processing . if the side of beef weighed 560 pounds after processing , how many pounds did it weigh before processing ?", - "Output Program": [ - "n0 = 35.0\nn1 = 560.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "861.5384615384615" - ], - "split": "train" - }, - { - "Input": "a sum fetched a total simple interest of rs . 4016.25 at the rate of 9 p . c . p . a . in 5 years . what is the sum ?", - "Output Program": [ - "n0 = 4016.25\nn1 = 9.0\nn2 = 5.0\nt0 = n0 * 100.0\nt1 = t0 / n1\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "8925" - ], - "split": "train" - }, - { - "Input": "vijay sells a cupboard at 16 % below cost price . had he got rs . 1200 more , he would have made a profit of 16 % . what is the cost price of the cupboard ?", - "Output Program": [ - "n0 = 16.0\nn1 = 1200.0\nn2 = 16.0\nt0 = n0 + 100.0\nt1 = 100.0 - n0\nt2 = t0 - t1\nt3 = t2 / 100.0\nanswer = n1 / t3\nprint(answer)" - ], - "Output Answer": [ - "3750" - ], - "split": "train" - }, - { - "Input": "if a lends rs . 3500 to b at 10 % per annum and b lends the same sum to c at 12 % per annum then the gain of b in a period of 3 years is ?", - "Output Program": [ - "n0 = 3500.0\nn1 = 10.0\nn2 = 12.0\nn3 = 3.0\nt0 = n0 * n2\nt1 = n0 * n1\nt2 = t0 * 3.0\nt3 = n3 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nanswer = t4 - t5\nprint(answer)" - ], - "Output Answer": [ - "210" - ], - "split": "train" - }, - { - "Input": "a sum fetched a total simple interest of 4025.25 at the rate of 9 % . p . a . in 5 years . what is the sum ?", - "Output Program": [ - "n0 = 4025.25\nn1 = 9.0\nn2 = 5.0\nt0 = n0 * 100.0\nt1 = t0 / n1\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "8945" - ], - "split": "train" - }, - { - "Input": "the salary of a worker is first increased by 40 % and afterwards reduced by 40 % . what is the net change in the worker ' s salary ?", - "Output Program": [ - "n0 = 40.0\nn1 = 40.0\nt0 = n0 + 100.0\nt1 = n0 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "in an election between the two candidates , the candidates who gets 70 % of votes polled is winned by 200 vote \u2019 s majority . what is the total number of votes polled ?", - "Output Program": [ - "n0 = 70.0\nn1 = 200.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nt2 = n0 - t1\nanswer = t0 / t2\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "train" - }, - { - "Input": "if w is 40 percent less than u , u is 40 percent less than y , and z is 46 percent less than y , then z is greater than w by what percent of w ?", - "Output Program": [ - "n0 = 40.0\nn1 = 40.0\nn2 = 46.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t2 * t2\nt5 = t4 / t3\nt6 = t5 / 100.0\nt7 = 1.0 / t6\nanswer = t7 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "the salary of a person was reduced by 15 % . by what percent should his reduced salary be raised so as to bring it at par with his original salary ?", - "Output Program": [ - "n0 = 15.0\nt0 = n0 / 100.0\nt1 = t0 * 100.0\nt2 = 100.0 - t1\nt3 = t1 / t2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "17.647058823529413" - ], - "split": "train" - }, - { - "Input": "a bowl was filled with 10 ounces of water , and 0.006 ounce of the water evaporated each day during a 50 - day period . what percent of the original amount of water evaporated during this period ?", - "Output Program": [ - "n0 = 10.0\nn1 = 0.006\nn2 = 50.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "3" - ], - "split": "train" - }, - { - "Input": "from the beginning to the end of 2007 , the price of a stock rose 20 percent . in 2008 , it dropped 25 percent . in 2009 , it rose 35 percent . what percent of the stock \u00e2 \u20ac \u2122 s 2007 starting price was the price of the stock at the end of 2009 ?", - "Output Program": [ - "n0 = 2007.0\nn1 = 20.0\nn2 = 2008.0\nn3 = 25.0\nn4 = 2009.0\nn5 = 35.0\nn6 = 2007.0\nn7 = 2009.0\nt0 = n5 + 100.0\nt1 = n1 + 100.0\nt2 = 100.0 - n3\nt3 = t0 / 100.0\nt4 = t2 / 100.0\nt5 = t1 / 100.0\nt6 = t5 * 100.0\nt7 = t4 * t6\nanswer = t3 * t7\nprint(answer)" - ], - "Output Answer": [ - "121.50000000000001" - ], - "split": "train" - }, - { - "Input": "you enter a weight loss challenge game and manage to lose 15 % of your body weight . for the final weigh in you are forced to wear clothes that add 2 % to your weight . what percentage of weight loss is measured at the final weigh in ?", - "Output Program": [ - "n0 = 15.0\nn1 = 2.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = 1.0 - t4\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "13.3" - ], - "split": "train" - }, - { - "Input": "a man \u2019 s wages were decreased by 50 % . again , the reduced wages were increased by 50 % . he has a loss of ?", - "Output Program": [ - "n0 = 50.0\nn1 = 50.0\nt0 = n0 + 100.0\nt1 = t0 / 100.0\nt2 = n0 * t1\nanswer = 100.0 - t2\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "an escalator moves towards the top level at the rate of 11 ft . sec and its length is 140 feet . if a person walks on the moving escalator at the rate of 3 feet per second towards the top level , how much time does he take to cover the entire length .", - "Output Program": [ - "n0 = 11.0\nn1 = 140.0\nn2 = 3.0\nt0 = n0 + n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 510 after successive discount is 12 % and 15 % is ?", - "Output Program": [ - "n0 = 510.0\nn1 = 12.0\nn2 = 15.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "381.48" - ], - "split": "train" - }, - { - "Input": "the interest on a certain deposit at 4.5 % p . a . is rs . 202.50 in one year . how much will the additional interest in one year be on the same deposit at 5 % p . a . ?", - "Output Program": [ - "n0 = 4.5\nn1 = 202.5\nn2 = 5.0\nt0 = n0 / 100.0\nt1 = n1 / t0\nt2 = n2 * t1\nt3 = t2 / 100.0\nanswer = t3 - n1\nprint(answer)" - ], - "Output Answer": [ - "22.5" - ], - "split": "train" - }, - { - "Input": "last year sandy saved 6 % of her annual salary . this year , she made 10 % more money than last year , and she saved 10 % of her salary . the amount saved this year was what percent of the amount she saved last year ?", - "Output Program": [ - "n0 = 6.0\nn1 = 10.0\nn2 = 10.0\nt0 = n1 + 100.0\nt1 = n2 / 100.0\nt2 = n0 * 100.0\nt3 = t2 / 100.0\nt4 = t0 * t1\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "183.33333333333331" - ], - "split": "train" - }, - { - "Input": "if 10 litres of an oil of rs . 50 per litres be mixed with 5 litres of another oil of rs . 68 per litre then what is the rate of mixed oil per litre ?", - "Output Program": [ - "n0 = 10.0\nn1 = 50.0\nn2 = 5.0\nn3 = 68.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n3\nt3 = t1 + t2\nanswer = t3 / t0\nprint(answer)" - ], - "Output Answer": [ - "56" - ], - "split": "train" - }, - { - "Input": "the true discount on a bill due 9 months hence at 16 % per annum is rs . 240 . the amount of the bill is", - "Output Program": [ - "n0 = 9.0\nn1 = 16.0\nn2 = 240.0\nt0 = 3.0 * 4.0\nt1 = n0 / t0\nt2 = n1 * t1\nt3 = t2 / 100.0\nt4 = n2 / t3\nanswer = n2 + t4\nprint(answer)" - ], - "Output Answer": [ - "2240" - ], - "split": "train" - }, - { - "Input": "a man sold 18 toys for rs . 23100 , gaining thereby the cost price of 3 toy find the cost price of a toy", - "Output Program": [ - "n0 = 18.0\nn1 = 23100.0\nn2 = 3.0\nt0 = n0 + n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "1100" - ], - "split": "train" - }, - { - "Input": "indu gave bindu rs . 6250 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?", - "Output Program": [ - "n0 = 6250.0\nn1 = 2.0\nn2 = 4.0\nn3 = 2.0\nn4 = 4.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = n0 * t0\nt3 = n1 * t2\nt4 = t1**min(n1, 5)\nt5 = n0 * t4\nt6 = t5 - n0\nanswer = t6 - t3\nprint(answer)" - ], - "Output Answer": [ - "10.00000000000091" - ], - "split": "train" - }, - { - "Input": "a man can row his boat with the stream at 16 km / h and against the stream in 12 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 16.0\nn1 = 12.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "2" - ], - "split": "train" - }, - { - "Input": "if 125 % of j is equal to 25 % of k , 150 % of k is equal to 50 % of l , and 175 % of l is equal to 75 % of m , then 20 % of m is equal to what percent of 200 % of j ?", - "Output Program": [ - "n0 = 125.0\nn1 = 25.0\nn2 = 150.0\nn3 = 50.0\nn4 = 175.0\nn5 = 75.0\nn6 = 20.0\nn7 = 200.0\nt0 = n0 * n2\nt1 = n1 * n3\nt2 = n4 * t0\nt3 = n5 * t1\nt4 = t2 / t3\nt5 = n6 * t4\nt6 = t5 / n7\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "350" - ], - "split": "train" - }, - { - "Input": "julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest . after two years she earned $ 120 and $ 126 from the simple interest account and the compound interest account respectively . if the interest rates for both accounts were the same , what was the amount of julie ' s initial savings ?", - "Output Program": [ - "n0 = 120.0\nn1 = 126.0\nt0 = n1 - n0\nt1 = t0 * 2.0\nt2 = t1 / n0\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "1200" - ], - "split": "train" - }, - { - "Input": "a reduction of 18 % in the price of oil enables a house wife to obtain 8 kgs more for rs . 1080 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 18.0\nn1 = 8.0\nn2 = 1080.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "24.3" - ], - "split": "train" - }, - { - "Input": "two boys starts from the same place walking at the rate of 5.5 kmph and 7.5 kmph respectively in the same direction . what time will they take to be 32 km apart ?", - "Output Program": [ - "n0 = 5.5\nn1 = 7.5\nn2 = 32.0\nt0 = n1 - n0\nanswer = n2 / t0\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "joe invested a certain sum of money in a simple interest bond whose value grew to $ 400 at the end of 3 years and to $ 500 at the end of another 5 years . what was the rate of interest in which he invested his sum ?", - "Output Program": [ - "n0 = 400.0\nn1 = 3.0\nn2 = 500.0\nn3 = 5.0\nt0 = n2 - n0\nt1 = t0 / n3\nt2 = n1 * t1\nt3 = n0 - t2\nt4 = t1 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "5.88235294117647" - ], - "split": "train" - }, - { - "Input": "a reduction in the price of petrol by 10 % enables a motorist to buy 5 gallons more for $ 250 . find the original price of petrol ?", - "Output Program": [ - "n0 = 10.0\nn1 = 5.0\nn2 = 250.0\nt0 = n0 / 100.0\nt1 = 1.0 / 2.0\nt2 = 1.0 - t0\nt3 = n1 - t1\nt4 = n2 * t2\nt5 = n2 - t4\nanswer = t5 / t3\nprint(answer)" - ], - "Output Answer": [ - "5.555555555555555" - ], - "split": "train" - }, - { - "Input": "an escalator moves towards the top level at the rate of 8 ft . sec and its length is 160 feet . if a person walks on the moving escalator at the rate of 2 feet per second towards the top level , how much time does he take to cover the entire length .", - "Output Program": [ - "n0 = 8.0\nn1 = 160.0\nn2 = 2.0\nt0 = n0 + n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "a certain sum is invested at simple interest at 15 % p . a . for two years instead of investing at 10 % p . a . for the same time period . therefore the interest received is more by rs . 840 . find the sum ?", - "Output Program": [ - "n0 = 15.0\nn1 = 10.0\nn2 = 840.0\nt0 = n0 - n1\nt1 = t0 * 2.0\nt2 = t1 / 100.0\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "8400" - ], - "split": "train" - }, - { - "Input": "a dishonest shopkeeper professes to sell pulses at the cost price , but he uses a false weight of 950 gm . for a kg . his gain is \u2026 % .", - "Output Program": [ - "n0 = 950.0\nt0 = 1.0 + 4.0\nt1 = t0 * 2.0\nt2 = t1 * 100.0\nt3 = n0 / t2\nt4 = 1 / t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "5.263157894736836" - ], - "split": "train" - }, - { - "Input": "a man sold 20 articles for $ 60 and gained 20 % . how many articles should he sell for $ 90 to incur a loss 10 % ?", - "Output Program": [ - "n0 = 20.0\nn1 = 60.0\nn2 = 20.0\nn3 = 90.0\nn4 = 10.0\nt0 = n1 * 100 / (100 + n4) # original_price_before gain\nt1 = n3 * 100 / (100 + 1e-5 - n0) # original price before loss\nt2 = t0 / n0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "41.249994843750635" - ], - "split": "train" - }, - { - "Input": "at what rate percent on simple interest will rs . 750 amount to rs . 900 in 2 years ?", - "Output Program": [ - "n0 = 750.0\nn1 = 900.0\nn2 = 2.0\nt0 = n1 - n0\nt1 = t0 / n0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "a fruit seller had some apples . he sells 80 % and still has 500 apples . originally , he had ?", - "Output Program": [ - "n0 = 80.0\nn1 = 500.0\n\nanswer = n1 * 100 / (100 + 1e-5 - n0) # original price before loss\nprint(answer)" - ], - "Output Answer": [ - "2499.9987500006246" - ], - "split": "train" - }, - { - "Input": "the charge for a single room at hotel p is 55 percent less than the charge for a single room at hotel r and 10 percent less than the charge for a single room at hotel g . the charge for a single room at hotel r is what percent greater than the charge for a single room at hotel g ?", - "Output Program": [ - "n0 = 55.0\nn1 = 10.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = t0 / t1\nt3 = t2 * 100.0\nt4 = 100.0 - t3\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "a certain college ' s enrollment at the beginning of 1992 was 40 percent greater than it was at the beginning of 1991 , and its enrollment at the beginning of 1993 was 15 percent greater than it was at the beginning of 1992 . the college ' s enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ?", - "Output Program": [ - "n0 = 1992.0\nn1 = 40.0\nn2 = 1991.0\nn3 = 1993.0\nn4 = 15.0\nn5 = 1992.0\nn6 = 1993.0\nn7 = 1991.0\nt0 = n1 + 100.0\nt1 = n4 + 100.0\nt2 = t1 / 100.0\nt3 = t0 * t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "61" - ], - "split": "train" - }, - { - "Input": "if the cost price is 75 % of the selling price , then what is the profit percent ?", - "Output Program": [ - "n0 = 75.0\nt0 = 100.0 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "train" - }, - { - "Input": "rs . 2500 is divided into two parts such that if one part be put out at 5 % simple interest and the other at 6 % , the yearly annual income may be rs . 145 . how much was lent at 5 % ?", - "Output Program": [ - "n0 = 2500.0\nn1 = 5.0\nn2 = 6.0\nn3 = 145.0\nn4 = 5.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n0 * n2\nt3 = t2 / 100.0\nt4 = t0 - t1\nt5 = n3 - t3\nanswer = t5 / t4\nprint(answer)" - ], - "Output Answer": [ - "500.0000000000002" - ], - "split": "train" - }, - { - "Input": "the profit earned by selling an article for 872 is equal to the loss incurred when the same article is sold for 448 . what should be the sale price of the article for making 50 per cent profit ?", - "Output Program": [ - "n0 = 872.0\nn1 = 448.0\nn2 = 50.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = t1 + 1.0\nt3 = t0 / 2.0\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "990" - ], - "split": "train" - }, - { - "Input": "a candidate got 40 % of the votes polled and he lost to his rival by 2000 votes . how many votes were cast ?", - "Output Program": [ - "n0 = 40.0\nn1 = 2000.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "10000.000000000002" - ], - "split": "train" - }, - { - "Input": "one night 17 percent of the female officers on a police force were on duty . if 170 police officers were on duty that night and half of these were female officers , how many female officers were on the police force ?", - "Output Program": [ - "n0 = 17.0\nn1 = 170.0\nt0 = n1 / 2.0\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "499.99999999999994" - ], - "split": "train" - }, - { - "Input": "a number exceeds 20 % of itself by 40 . the number is ?", - "Output Program": [ - "n0 = 20.0\nn1 = 40.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a store reduced the price of all items in the store by 9 % on the first day and by another 10 % on the second day . the price of items on the second day was what percent of the price before the first reduction took place ?", - "Output Program": [ - "n0 = 9.0\nn1 = 10.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 * t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "81.9" - ], - "split": "train" - }, - { - "Input": "on a purchase of $ 110 , a store offered a payment plan consisting of a $ 10 down payment and 12 monthly payments of $ 10 each . what percent of the purchase price , to the nearest tenth of a percent , did the customer pay in interest by using this plan ?", - "Output Program": [ - "n0 = 110.0\nn1 = 10.0\nn2 = 12.0\nn3 = 10.0\nt0 = n2 * n3\nt1 = n1 + t0\nt2 = t1 - t0\nt3 = t2 / n0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "9.090909090909092" - ], - "split": "train" - }, - { - "Input": "john purchased a grinder and a mobile for rs . 15000 & rs . 8000 respectively . he sold the grinder at a loss of 4 % and the mobile phone at a profit of 15 % . overall how much he make a profit .", - "Output Program": [ - "n0 = 15000.0\nn1 = 8000.0\nn2 = 4.0\nn3 = 15.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = n3 * t0\nt3 = n2 * t1\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "a sum of money deposited at c . i . amounts to rs . 3650 in 2 years and to rs . 4015 in 3 years . find the rate percent ?", - "Output Program": [ - "n0 = 3650.0\nn1 = 2.0\nn2 = 4015.0\nn3 = 3.0\nt0 = n2 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "a sum amounts to rs . 8820 in 2 years at the rate of 5 % p . a . if interest was compounded yearly then what was the principal ?", - "Output Program": [ - "n0 = 8820.0\nn1 = 2.0\nn2 = 5.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "8000" - ], - "split": "train" - }, - { - "Input": "a 20 % stock yielding 10 % is quoted at :", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article offering a discount of 5 % and earned a profit of 38.7 % . what would have been the percentage of profit earned if no discount had been offered ?", - "Output Program": [ - "n0 = 5.0\nn1 = 38.7\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * 100.0\nt3 = t2 / t1\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "45.99999999999997" - ], - "split": "train" - }, - { - "Input": "from the beginning to the end of 2007 , the price of a stock rose 20 percent . in 2008 , it dropped 25 percent . in 2009 , it rose 25 percent . what percent of the stock \u00e2 \u20ac \u2122 s 2007 starting price was the price of the stock at the end of 2009 ?", - "Output Program": [ - "n0 = 2007.0\nn1 = 20.0\nn2 = 2008.0\nn3 = 25.0\nn4 = 2009.0\nn5 = 25.0\nn6 = 2007.0\nn7 = 2009.0\nt0 = n5 + 100.0\nt1 = n1 + 100.0\nt2 = 100.0 - n3\nt3 = t0 / 100.0\nt4 = t2 / 100.0\nt5 = t1 / 100.0\nt6 = t5 * 100.0\nt7 = t4 * t6\nanswer = t3 * t7\nprint(answer)" - ], - "Output Answer": [ - "112.5" - ], - "split": "train" - }, - { - "Input": "on a certain transatlantic crossing , 20 percent of a ship \u2019 s passengers held round - trip tickets and also took their cars abroad the ship . if 20 percent of the passengers with round - trip tickets did not take their cars abroad the ship , what percent of the ship \u2019 s passengers held round - trip tickets ?", - "Output Program": [ - "n0 = 20.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "ashok and pyarelal invested money together in a business and share a capital of ashok is 1 / 9 of that of pyarelal . if the incur a loss of rs 2000 then loss of pyarelal ?", - "Output Program": [ - "n0 = 1.0\nn1 = 9.0\nn2 = 2000.0\nt0 = n0 + n1\nt1 = n1 * n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "1800" - ], - "split": "train" - }, - { - "Input": "a store sells chairs and tables . if the price of 2 chairs and 1 table is 60 % of the price of 1 chair and 2 tables , and the price of 1 table and 1 chair is $ 60 , what is the price , in dollars , of 1 table ? ( assume that every chair has the same price and every table has the same price . )", - "Output Program": [ - "n0 = 2.0\nn1 = 1.0\nn2 = 60.0\nn3 = 1.0\nn4 = 2.0\nn5 = 1.0\nn6 = 1.0\nn7 = 60.0\nn8 = 1.0\nt0 = n2 / 100.0\nt1 = n7 * n0\nt2 = t0 + n1\nt3 = n7 * t0\nt4 = t1 - t3\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "52.5" - ], - "split": "train" - }, - { - "Input": "30 is subtracted from 40 % of a number , the result is 50 . find the number ?", - "Output Program": [ - "n0 = 30.0\nn1 = 40.0\nn2 = 50.0\nt0 = n0 + n2\nt1 = n1 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "mary invested a certain sum of money in a bank that paid simple interest . the amount grew to $ 260 at the end of 2 years . she waited for another 4 years and got a final amount of $ 380 . what was the principal amount that she invested at the beginning ?", - "Output Program": [ - "n0 = 260.0\nn1 = 2.0\nn2 = 4.0\nn3 = 380.0\nt0 = n3 - n0\nt1 = t0 / n2\nt2 = n1 * t1\nanswer = n0 - t2\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "in an examination 35 % of the students passed and 455 failed . how many students appeared for the examination ?", - "Output Program": [ - "n0 = 35.0\nn1 = 455.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "700" - ], - "split": "train" - }, - { - "Input": "there were two candidates in an election . winner candidate received 62 % of votes and won the election by 336 votes . find the number of votes casted to the winning candidate ?", - "Output Program": [ - "n0 = 62.0\nn1 = 336.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nt3 = n1 / t2\nt4 = n0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "868" - ], - "split": "train" - }, - { - "Input": "in town x , 60 percent of the population are employed , and 48 percent of the population are employed males . what percent of the employed people in town x are females ?", - "Output Program": [ - "n0 = 60.0\nn1 = 48.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "the cost price of a radio is rs . 1500 and it was sold for rs . 1275 , find the loss % ?", - "Output Program": [ - "n0 = 1500.0\nn1 = 1275.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "the simple interest and the true discount on a certain sum for a given time and at a given rate are rs . 85 and rs . 75 respectively . the sum is :", - "Output Program": [ - "n0 = 85.0\nn1 = 75.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "637.5" - ], - "split": "train" - }, - { - "Input": "a invested some money in 10 % stock at 96 . if b wants to invest in an equally good 12 % stock , he must purchase a stock worth of :", - "Output Program": [ - "n0 = 10.0\nn1 = 96.0\nn2 = 12.0\nt0 = n1 / n0\nanswer = n2 * t0\nprint(answer)" - ], - "Output Answer": [ - "115.19999999999999" - ], - "split": "train" - }, - { - "Input": "a watch was sold at a loss of 8 % . if it was sold for rs . 140 more , there would have been a gain of 4 % . what is the cost price ?", - "Output Program": [ - "n0 = 8.0\nn1 = 140.0\nn2 = 4.0\nt0 = 100.0 + n2\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t0 - t2\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "1166.6666666666667" - ], - "split": "train" - }, - { - "Input": "a , band c enter into partnership . a invests 3 times as much as b and b invests two - third of what c invests . at the end of the year , the profit earned is rs . 4400 . what is the share of b ?", - "Output Program": [ - "n0 = 3.0\nn1 = 4400.0\nt0 = 2.0 / 3.0\nt1 = 2.0 * 3.0\nt2 = t0 * 3.0\nt3 = t1 + t2\nt4 = t3 + 3.0\nt5 = 2.0 / t4\nanswer = n1 * t5\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "train" - }, - { - "Input": "j is 25 % less than p and 20 % less than t . t is e % less than p . what is the value of e ?", - "Output Program": [ - "n0 = 25.0\nn1 = 20.0\nt0 = n0 * n0\nanswer = t0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "6.25" - ], - "split": "train" - }, - { - "Input": "a dealer offers a cash discount of 20 % and still makes a profit of 20 % when he further allows 10 articles to be sold at the cost price of 9 articles to a particular sticky bargainer . how much percent above the cost price were his articles listed ?", - "Output Program": [ - "n0 = 20.0\nn1 = 20.0\nn2 = 10.0\nn3 = 9.0\nt0 = n1 + 100.0\nt1 = n2 - n3\nt2 = 100.0 - n0\nt3 = t0 / 100.0\nt4 = t1 / n2\nt5 = t2 / 100.0\nt6 = 1.0 - t4\nt7 = t3 / t6\nt8 = t7 / t5\nt9 = t8 - 1.0\nanswer = t9 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "66.66666666666666" - ], - "split": "train" - }, - { - "Input": "if 0.5 % of a = 95 paise , then the value of a is ?", - "Output Program": [ - "n0 = 0.5\nn1 = 95.0\n\nanswer = n1 / n0\nprint(answer)" - ], - "Output Answer": [ - "190" - ], - "split": "train" - }, - { - "Input": "by selling an article at rs . 500 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 25 % ?", - "Output Program": [ - "n0 = 500.0\nn1 = 25.0\nn2 = 25.0\nt0 = n1 + 100.0\nt1 = n0 * 100.0\nt2 = t1 / t0\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "300" - ], - "split": "train" - }, - { - "Input": "at what rate percent per annum will a sum of money double in 10 years ?", - "Output Program": [ - "n0 = 10.0\n\nanswer = 100.0 / n0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 20 percent , but profits were 10 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?", - "Output Program": [ - "n0 = 2008.0\nn1 = 10.0\nn2 = 2009.0\nn3 = 20.0\nn4 = 10.0\nn5 = 2009.0\nn6 = 2008.0\nt0 = n3 / 100.0\nt1 = 1.0 - t0\nt2 = n4 * t1\nt3 = t2 / n1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "in a certain city , 60 percent of the registered voters are democrats and the rest are republicans . in a mayoral race , if 85 percent of the registered voters who are democrats and 20 percent of the registered voters who are republicans are expected to vote for candidate a , what percent of the registered voters are expected to vote for candidate a ?", - "Output Program": [ - "n0 = 60.0\nn1 = 85.0\nn2 = 20.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = 100.0 - n0\nt3 = n0 * t0\nt4 = t1 * t2\nanswer = t3 + t4\nprint(answer)" - ], - "Output Answer": [ - "59" - ], - "split": "train" - }, - { - "Input": "by selling an article at rs . 150 , a profit of 25 % is made . find its cost price ?", - "Output Program": [ - "n0 = 150.0\nn1 = 25.0\nt0 = n1 + 100.0\nt1 = n0 * 100.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "train" - }, - { - "Input": "sheela deposits rs . 2500 in bank savings account . if this is 25 % of her monthly income . what is her monthly income in ?", - "Output Program": [ - "n0 = 2500.0\nn1 = 25.0\nt0 = n0 * 100.0\nanswer = t0 / n1\nprint(answer)" - ], - "Output Answer": [ - "10000" - ], - "split": "train" - }, - { - "Input": "in one hour , a boat goes 15 km along the stream and 5 km against the stream . the sped of the boat in still water ( in km / hr ) is :", - "Output Program": [ - "n0 = 15.0\nn1 = 5.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "if the simple interest on a sum of money for 2 years at 5 % per annum is rs . 50 , what is the compound interest on the same at the same rate and for the same time ?", - "Output Program": [ - "n0 = 2.0\nn1 = 5.0\nn2 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n2 / t1\nt3 = n1 * t2\nt4 = t3 / 100.0\nt5 = t4 + t2\nt6 = n1 * t5\nt7 = t6 / 100.0\nt8 = t5 + t7\nanswer = t8 - t2\nprint(answer)" - ], - "Output Answer": [ - "51.25" - ], - "split": "train" - }, - { - "Input": "a person bought 118 glass bowls at a rate of rs . 12 per bowl . he sold 102 of them at rs . 15 and the remaining broke . what is the percentage gain for a ?", - "Output Program": [ - "n0 = 118.0\nn1 = 12.0\nn2 = 102.0\nn3 = 15.0\nt0 = n2 * n3\nt1 = n0 * n1\nt2 = t0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "8.050847457627118" - ], - "split": "train" - }, - { - "Input": "an engineering student has to secure 36 % marks to pass . he gets 130 marks and fails by 14 marks . the maximum no . of marks obtained by him is ?", - "Output Program": [ - "n0 = 36.0\nn1 = 130.0\nn2 = 14.0\nt0 = n1 + n2\nt1 = t0 * 100.0\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "what is the cp of rs 100 stock at 2 discount , with 1 / 5 % brokerage ?", - "Output Program": [ - "n0 = 100.0\nn1 = 2.0\nn2 = 1.0\nn3 = 5.0\nt0 = n2 / n3\nt1 = n0 - n1\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "98.2" - ], - "split": "train" - }, - { - "Input": "if a man walks to his office at \u00be of his usual rate , he reaches office 1 / 3 of an hour late than usual . what is his usual time to reach office ?", - "Output Program": [ - "n0 = 1.0\nn1 = 3.0\nt0 = n1 / 4.0\nt1 = n0 / n1\nt2 = t0 * t1\nt3 = 1.0 - t0\nanswer = t2 / t3\nprint(answer)" - ], - "Output Answer": [ - "1" - ], - "split": "train" - }, - { - "Input": "a candidate appearing for an examination has to secure 40 % marks to pass paper i . but he secured only 40 marks and failed by 20 marks . what is the maximum mark for paper i ?", - "Output Program": [ - "n0 = 40.0\nn1 = 40.0\nn2 = 20.0\nt0 = n1 + n2\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "a man ' s speed with the current is 18 km / hr and the speed of the current is 3.4 km / hr . the man ' s speed against the current is", - "Output Program": [ - "n0 = 18.0\nn1 = 3.4\nt0 = n0 - n1\nanswer = t0 - n1\nprint(answer)" - ], - "Output Answer": [ - "11.2" - ], - "split": "train" - }, - { - "Input": "in town p , 60 percent of the population are employed , and 48 percent of the population are employed males . what percent of the employed people in town p are females ?", - "Output Program": [ - "n0 = 60.0\nn1 = 48.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 7000 , the number of valid votes that the other candidate got , was :", - "Output Program": [ - "n0 = 55.0\nn1 = 20.0\nn2 = 7000.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t2 * t3\nanswer = n2 * t4\nprint(answer)" - ], - "Output Answer": [ - "2520" - ], - "split": "train" - }, - { - "Input": "solution y is 30 percent liquid x and 70 percent water . if 4 kilograms of water evaporate from 8 kilograms of solution y and 4 kilograms of solution y are added to the remaining 6 kilograms of liquid , what percent of this new solution is liquid x ?", - "Output Program": [ - "n0 = 30.0\nn1 = 70.0\nn2 = 4.0\nn3 = 8.0\nn4 = 4.0\nn5 = 6.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = n3 * t0\nt3 = n2 * t0\nt4 = n2 * t1\nt5 = n3 * t1\nt6 = t2 + t3\nt7 = t5 - n2\nt8 = t4 + t7\nt9 = t6 + t8\nt10 = t6 / t9\nanswer = t10 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "45" - ], - "split": "train" - }, - { - "Input": "a circle graph shows how the megatech corporation allocates its research and development budget : 10 % microphotonics ; 24 % home electronics ; 15 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics . if the arc of each sector of the graph is proportional to the percentage of the budget it represents , how many degrees of the circle are used to represent basic astrophysics research ?", - "Output Program": [ - "n0 = 10.0\nn1 = 24.0\nn2 = 15.0\nn3 = 29.0\nn4 = 8.0\nt0 = n0 + n1\nt1 = 3600.0 / 10.0\nt2 = n2 + t0\nt3 = n3 + t2\nt4 = n4 + t3\nt5 = 100.0 - t4\nt6 = t1 * t5\nanswer = t6 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "50.4" - ], - "split": "train" - }, - { - "Input": "if the compound interest on a certain sum of money for 3 years at 10 % per annum be rs . 993 , what would be the simple interest ?", - "Output Program": [ - "n0 = 3.0\nn1 = 10.0\nn2 = 993.0\nt0 = n0 * 100.0\nt1 = n1 * t0\nt2 = n1 * t1\nt3 = n0 * t2\nanswer = t3 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "900" - ], - "split": "train" - }, - { - "Input": "the present worth of a certain bill due sometime hence is rs . 800 and the true discount is rs . 36 . the banker \u2019 s discount is", - "Output Program": [ - "n0 = 800.0\nn1 = 36.0\nt0 = n1**min(2.0, 5)\nt1 = t0 / n0\nanswer = n1 + t1\nprint(answer)" - ], - "Output Answer": [ - "37.62" - ], - "split": "train" - }, - { - "Input": "a small college reduced its faculty by approximately 23 percent to 195 professors . what was the original number of faculty members ?", - "Output Program": [ - "n0 = 23.0\nn1 = 195.0\nt0 = 100.0 - n0\nt1 = t0 / 100.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "253.24675324675323" - ], - "split": "train" - }, - { - "Input": "the current birth rate per certain number of people is 32 , whereas corresponding death rate is 11 per same number of people . if the net growth rate in terms of population increase is 2.1 percent , find number of persons . ( initally )", - "Output Program": [ - "n0 = 32.0\nn1 = 11.0\nn2 = 2.1\nt0 = n0 - n1\nt1 = t0 / n2\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "train" - }, - { - "Input": "if a lends rs . 4000 to b at 10 % per annum and b lends the same sum to c at 11.5 % per annum then the gain of b in a period of 3 years is ?", - "Output Program": [ - "n0 = 4000.0\nn1 = 10.0\nn2 = 11.5\nn3 = 3.0\nt0 = n0 * n2\nt1 = n0 * n1\nt2 = t0 * n3\nt3 = n3 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nanswer = t4 - t5\nprint(answer)" - ], - "Output Answer": [ - "180" - ], - "split": "train" - }, - { - "Input": "a man took loan from a bank at the rate of 12 % p . a . s . i . after 3 years he had to pay rs . 5400 interest only for the period . the principal amount borrowed by him was ?", - "Output Program": [ - "n0 = 12.0\nn1 = 3.0\nn2 = 5400.0\nt0 = n2 * 100.0\nt1 = t0 / n1\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "15000" - ], - "split": "train" - }, - { - "Input": "a certain company \u2019 s profit in 1996 was 17 percent greater than its profit in 1995 , and its profit in 1997 was 25 percent greater than its profit in 1996 . the company \u2019 s profit in 1997 was what percent greater than its profit in 1995 ?", - "Output Program": [ - "n0 = 1996.0\nn1 = 17.0\nn2 = 1995.0\nn3 = 1997.0\nn4 = 25.0\nn5 = 1996.0\nn6 = 1997.0\nn7 = 1995.0\nt0 = n4 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "46.24999999999999" - ], - "split": "train" - }, - { - "Input": "in a certain store , the profit is 320 % of the cost . if the cost increases by 40 % but the selling price remains constant , approximately what percentage of the selling price is the profit", - "Output Program": [ - "n0 = 320.0\nn1 = 40.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = t0 - t1\nt3 = t2 / t0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "66.66666666666666" - ], - "split": "train" - }, - { - "Input": "in a particular state , 70 % of the counties received some rain on monday , and 50 % of the counties received some rain on tuesday . no rain fell either day in 20 % of the counties in the state . what percent of the counties received some rain on monday and tuesday ?", - "Output Program": [ - "n0 = 70.0\nn1 = 50.0\nn2 = 20.0\nt0 = n0 + n1\nt1 = 100.0 - n2\nanswer = t0 - t1\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "a , b , and c started a partnership business by investing $ 45,000 , $ 63,000 , and $ 72,000 respectively . at the end of the year , the profit was distributed among them . if c ' s share of profit is $ 24,000 , what is the total profit ?", - "Output Program": [ - "n0 = 45000.0\nn1 = 63000.0\nn2 = 72000.0\nn3 = 24000.0\nt0 = 2.0 + 3.0\nt1 = 3.0 + 4.0\nt2 = 2.0 + 4.0\nt3 = t0 * 2.0\nt4 = t3 * 4.0\nt5 = t3 * 100.0\nt6 = t1 * t3\nt7 = t3 * 2.0\nt8 = t2 * t3\nt9 = t0 + t4\nt10 = t6 + 2.0\nt11 = t7 + 4.0\nt12 = t8 + 3.0\nt13 = t9 * t5\nt14 = t10 * t5\nt15 = t11 * t5\nt16 = t12 * t5\nt17 = t13 / t14\nt18 = t16 / t14\nt19 = t17 * t15\nt20 = t18 * t15\nt21 = t19 + t20\nanswer = t21 + t15\nprint(answer)" - ], - "Output Answer": [ - "60000" - ], - "split": "train" - }, - { - "Input": "a candidate appearing for an examination has to secure 52 % marks to pass paper i . but he secured only 45 marks and failed by 35 marks . what is the maximum mark for paper i ?", - "Output Program": [ - "n0 = 52.0\nn1 = 45.0\nn2 = 35.0\nt0 = n1 + n2\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "153.84615384615384" - ], - "split": "train" - }, - { - "Input": "john makes $ 60 a week from his job . he earns a raise and nowmakes $ 70 a week . what is the % increase ?", - "Output Program": [ - "n0 = 60.0\nn1 = 70.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "16.666666666666664" - ], - "split": "train" - }, - { - "Input": "on a certain day , tim invested $ 500 at 10 percent annual interest , compounded annually , and lana invested 800 at 5 percent annual interest , compounded annually . the total amount of interest earned by tim \u2019 s investment in the first 2 years was how much greater than the total amount of interest earned by lana \u2019 s investment in the first 2 years ?", - "Output Program": [ - "n0 = 500.0\nn1 = 10.0\nn2 = 800.0\nn3 = 5.0\nn4 = 2.0\nn5 = 2.0\nt0 = n1 / 100.0\nt1 = n3 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2**min(n4, 5)\nt5 = t3**min(n4, 5)\nt6 = n0 * t4\nt7 = n2 * t5\nt8 = t6 - n0\nt9 = t7 - n2\nanswer = t8 - t9\nprint(answer)" - ], - "Output Answer": [ - "23.000000000000114" - ], - "split": "train" - }, - { - "Input": "rs 4000 is divided into two parts such that one part is put out at 3 % and the other at 5 % . if the annual interest earned from both the investments be rs 144 , find the first part .", - "Output Program": [ - "n0 = 4000.0\nn1 = 3.0\nn2 = 5.0\nn3 = 144.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 * t0\nt3 = t0 - t1\nt4 = t2 - n3\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "2799.9999999999995" - ], - "split": "train" - }, - { - "Input": "in a sample of 800 high school students in which all students are either freshmen , sophomores , juniors , or seniors , 26 percent are juniors and 75 percent are not sophomores . if there are 160 seniors , how many more freshmen than sophomores are there among the sample of students ?", - "Output Program": [ - "n0 = 800.0\nn1 = 26.0\nn2 = 75.0\nn3 = 160.0\nt0 = n3 / n0\nt1 = 100.0 - n2\nt2 = t0 * 100.0\nt3 = n0 * t1\nt4 = t3 / 100.0\nt5 = 100.0 - t2\nt6 = t5 - n1\nt7 = t6 - t1\nt8 = n0 * t7\nt9 = t8 / 100.0\nanswer = t9 - t4\nprint(answer)" - ], - "Output Answer": [ - "32" - ], - "split": "train" - }, - { - "Input": "what is the rate percent when the simple interest on rs . 600 amount to rs . 160 in 4 years ?", - "Output Program": [ - "n0 = 600.0\nn1 = 160.0\nn2 = 4.0\nt0 = n1 * 100.0\nt1 = n0 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "6.666666666666667" - ], - "split": "train" - }, - { - "Input": "exactly 12 % of the reporters for a certain wire service cover local politics in country x . if 40 % of the reporters who cover politics for the wire service do not cover local politics in country x , what percent of the reporters for the wire service do not cover politics ?", - "Output Program": [ - "n0 = 12.0\nn1 = 40.0\nt0 = 100.0 - n1\nt1 = n0 / t0\nt2 = 1.0 - t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "a man can row his boat with the stream at 6 km / h and against the stream in 3 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 6.0\nn1 = 3.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "1.5" - ], - "split": "train" - }, - { - "Input": "an error 2 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is ?", - "Output Program": [ - "n0 = 2.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "4.04" - ], - "split": "train" - }, - { - "Input": "when the price of an article was reduced by 15 % its sale increased by 80 % . what was the net effect on the sale ?", - "Output Program": [ - "n0 = 15.0\nn1 = 80.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 / 100.0\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "53" - ], - "split": "train" - }, - { - "Input": "a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 70 percent of books that were loaned out are returned and there are 63 books in the special collection at that time , how many books of the special collection were loaned out during that month ?", - "Output Program": [ - "n0 = 75.0\nn1 = 70.0\nn2 = 63.0\nt0 = n1 / 100.0\nt1 = n0 - n2\nt2 = 1.0 - t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "39.99999999999999" - ], - "split": "train" - }, - { - "Input": "the market value of a certain machine decreased by 25 percent of its purchase price each year . if the machine was purchased in 1982 for its market value of $ 8,000 , what was its market value two years later ?", - "Output Program": [ - "n0 = 25.0\nn1 = 1982.0\nn2 = 8000.0\nt0 = n0 / 100.0\nt1 = 10.0 * 100.0\nt2 = 2.0 * 4.0\nt3 = t1 * t2\nt4 = t0 * 2.0\nt5 = t3 * t4\nanswer = t3 - t5\nprint(answer)" - ], - "Output Answer": [ - "4000" - ], - "split": "train" - }, - { - "Input": "in the manufacture of a certain product , 10 percent of the units produced are defective and 5 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?", - "Output Program": [ - "n0 = 10.0\nn1 = 5.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "0.5" - ], - "split": "train" - }, - { - "Input": "what is the rate percent when the simple interest on rs . 780 amount to rs . 130 in 4 years ?", - "Output Program": [ - "n0 = 780.0\nn1 = 130.0\nn2 = 4.0\nt0 = n1 * 100.0\nt1 = n0 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "4.166666666666667" - ], - "split": "train" - }, - { - "Input": "if i earn a profit 50 $ in a day and i have 9 employees . after keeping 10 percent profit for me , and distribute remianing money equally among my employees then how much each employee would get ?", - "Output Program": [ - "n0 = 50.0\nn1 = 9.0\nn2 = 10.0\nt0 = n1 * 100.0\nt1 = 100.0 - n2\nt2 = n0 * t1\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "a 14 % stock yields 8 % . the market value of the stock is :", - "Output Program": [ - "n0 = 14.0\nn1 = 8.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "175" - ], - "split": "train" - }, - { - "Input": "the number which exceeds 16 % of it by 84 is :", - "Output Program": [ - "n0 = 16.0\nn1 = 84.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "the price of a coat in a certain store is $ 500 . if the price of the coat is to be reduced by $ 250 , by what percent is the price to be reduced ?", - "Output Program": [ - "n0 = 500.0\nn1 = 250.0\nt0 = n1 / n0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "in a certain pond , 60 fish were caught , tagged , and returned to the pond . a few days later , 60 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what ` s the approximate number of fish in the pond ?", - "Output Program": [ - "n0 = 60.0\nn1 = 60.0\nn2 = 2.0\nt0 = n2 / n1\nanswer = n0 / t0\nprint(answer)" - ], - "Output Answer": [ - "1800" - ], - "split": "train" - }, - { - "Input": "a sum was put at simple interest at certain rate for 3 years . had it been put at 1 % higher rate it would have fetched rs . 63 more . the sum is : a . rs . 2,400 b . rs . 2,100 c . rs . 2,200 d . rs . 2,480", - "Output Program": [ - "n0 = 3.0\nn1 = 1.0\nn2 = 63.0\nn3 = 2400.0\nn4 = 2100.0\nn5 = 2200.0\nn6 = 2480.0\nt0 = n2 / n0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2100" - ], - "split": "train" - }, - { - "Input": "128 students represent x percent of the boys at a school . if the boys at the school make up 50 % of the total school population of x students , what is x ?", - "Output Program": [ - "import math\nn0 = 128.0\nn1 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * 100.0\nt2 = t1 / t0\nanswer = math.sqrt(max(0, t2))\nprint(answer)" - ], - "Output Answer": [ - "160" - ], - "split": "train" - }, - { - "Input": "in a certain business school class , p students are accounting majors , q students are finance majors , r students are marketing majors , and s students are strategy majors . if pqrs = 1365 , and if 1 < p < q < r < s , how many students in the class are accounting majors ?", - "Output Program": [ - "n0 = 1365.0\nn1 = 1.0\nt0 = 10.0 + 3.0\nt1 = 2.0 + 3.0\nt2 = t1 + 2.0\nt3 = t1 * t2\nt4 = t0 * t3\nanswer = n0 / t4\nprint(answer)" - ], - "Output Answer": [ - "3" - ], - "split": "train" - }, - { - "Input": "on a certain transatlantic crossing , 20 percent of a ship ' s passengers held round - trip tickets and also took their cars abroad the ship . if 50 percent of the passengers with round - trip tickets did not take their cars abroad the ship , what percent of the ship ' s passengers held round - trip tickets ?", - "Output Program": [ - "n0 = 20.0\nn1 = 50.0\nt0 = 100.0 - n1\nt1 = t0 / 100.0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "in the fifth grade at parkway elementary school there are 420 students . 312 students are boys and 250 students are playing soccer . 86 % of the students that play soccer are boys . how many girl student are in parkway that is not playing soccer ?", - "Output Program": [ - "n0 = 420.0\nn1 = 312.0\nn2 = 250.0\nn3 = 86.0\nt0 = n2 * n3\nt1 = n0 - n1\nt2 = t0 / 100.0\nt3 = n2 - t2\nanswer = t1 - t3\nprint(answer)" - ], - "Output Answer": [ - "73" - ], - "split": "train" - }, - { - "Input": "the banker \u00e2 \u20ac \u2122 s discount of a certain sum of money is rs . 80 and the true discount on the same sum for the same time is rs . 70 . the sum due is", - "Output Program": [ - "n0 = 80.0\nn1 = 70.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "560" - ], - "split": "train" - }, - { - "Input": "a glass was filled with 10 ounces of water , and 0.02 ounce of the water evaporated each day during a 20 - day period . what percent of the original amount of water evaporated during this period ?", - "Output Program": [ - "n0 = 10.0\nn1 = 0.02\nn2 = 20.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "i sold a book at a profit of 10 % . had i sold it for $ 140 more , 15 % would have been gained . find the cost price ?", - "Output Program": [ - "n0 = 10.0\nn1 = 140.0\nn2 = 15.0\nt0 = n0 * n1\nt1 = n2 - n0\nt2 = t0 / t1\nt3 = t2 * 100.0\nanswer = t3 / n0\nprint(answer)" - ], - "Output Answer": [ - "2800" - ], - "split": "train" - }, - { - "Input": "a glass was filled with 15 ounces of water , and 0.05 ounce of the water evaporated each day during a 15 - day period . what percent of the original amount of water evaporated during this period ?", - "Output Program": [ - "n0 = 15.0\nn1 = 0.05\nn2 = 15.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "at the end of the first quarter , the share price of a certain mutual fund was 30 percent higher than it was at the beginning of the year . at the end of the second quarter , the share price was 50 percent higher than it was at the beginning of the year . what was the percent increase in the share price from the end of the first quarter to the end of the second quarter ?", - "Output Program": [ - "n0 = 30.0\nn1 = 50.0\nt0 = n1 + 100.0\nt1 = n0 + 100.0\nt2 = t0 / t1\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "15.384615384615374" - ], - "split": "train" - }, - { - "Input": "the present worth of rs . 1183 due in 2 years at 4 % per annum compound interest is", - "Output Program": [ - "n0 = 1183.0\nn1 = 2.0\nn2 = 4.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "1093.7499999999998" - ], - "split": "train" - }, - { - "Input": "the c . p of 20 pens is equal to the s . p of 12 pens . find his gain % or loss % ?", - "Output Program": [ - "n0 = 20.0\nn1 = 12.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "a cycle is bought for rs . 850 and sold for rs . 1080 , find the gain percent ?", - "Output Program": [ - "n0 = 850.0\nn1 = 1080.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "27.058823529411764" - ], - "split": "train" - }, - { - "Input": "in the fifth grade at parkway elementary school there are 500 students . 350 students are boys and 250 students are playing soccer . 86 % of the students that play soccer are boys . how many girl student are in parkway that is not playing soccer ?", - "Output Program": [ - "n0 = 500.0\nn1 = 350.0\nn2 = 250.0\nn3 = 86.0\nt0 = n2 * n3\nt1 = n0 - n1\nt2 = t0 / 100.0\nt3 = n2 - t2\nanswer = t1 - t3\nprint(answer)" - ], - "Output Answer": [ - "115" - ], - "split": "train" - }, - { - "Input": "mr . john used to purchase certain number of mangoes for $ 360 since the price of mangoes is reduced by 10 % he got 12 more mangoes today . find the original price of 115 mangoes .", - "Output Program": [ - "n0 = 360.0\nn1 = 10.0\nn2 = 12.0\nn3 = 115.0\nt0 = 1.0 / n1\nt1 = 1.0 - t0\nt2 = n0 / t1\nt3 = t2 - n0\nt4 = t3 / n2\nanswer = n3 * t4\nprint(answer)" - ], - "Output Answer": [ - "383.33333333333337" - ], - "split": "train" - }, - { - "Input": "find the simple interest on rs . 69,600 at 16 2 / 3 % per annum for 9 months .", - "Output Program": [ - "n0 = 69600.0\nn1 = 16.0\nn2 = 2.0\nn3 = 3.0\nn4 = 9.0\nt0 = n2 + n3\nt1 = 1.0 / 100.0\nt2 = n3 * n3\nt3 = n2 * n3\nt4 = n1 * n3\nt5 = n2 + t4\nt6 = n2 * t3\nt7 = t3 * 100.0\nt8 = t2 * 100.0\nt9 = t0 * n2\nt10 = t2 / t6\nt11 = t5 / n3\nt12 = t7 * 100.0\nt13 = t8 * t9\nt14 = t12 + t13\nt15 = t14 * t11\nt16 = t10 * t15\nanswer = t1 * t16\nprint(answer)" - ], - "Output Answer": [ - "8625" - ], - "split": "train" - }, - { - "Input": "fresh grapes contain 90 % by weight while dried grapes contain 20 % water by weight . what is the weight of dry grapes available from 40 kg of fresh grapes ?", - "Output Program": [ - "n0 = 90.0\nn1 = 20.0\nn2 = 40.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = n2 * t0\nt3 = t2 / 100.0\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "a computer store offers employees a 15 % discount off the retail price . if the store purchased a computer from the manufacturer for $ 500 dollars and marked up the price 15 % to the final retail price , how much would an employee save if he purchased the computer at the employee discount ( 15 % off retail price ) as opposed to the final retail price .", - "Output Program": [ - "n0 = 15.0\nn1 = 500.0\nn2 = 15.0\nn3 = 15.0\nt0 = n1 / 100.0\nt1 = n0 * n1\nt2 = t1 / 100.0\nt3 = t0 * 2.0\nt4 = n1 + t2\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "57.5" - ], - "split": "train" - }, - { - "Input": "double of quarter of 4 percent written as a decimal is :", - "Output Program": [ - "n0 = 4.0\nt0 = n0 / 100.0\nt1 = t0 / 4.0\nanswer = t1 * 2.0\nprint(answer)" - ], - "Output Answer": [ - "0.02" - ], - "split": "train" - }, - { - "Input": "3 candidates in an election and received 2500 , 5000 and 20000 votes respectively . what % of the total votes did the winningcandidate got in that election ?", - "Output Program": [ - "n0 = 3.0\nn1 = 2500.0\nn2 = 5000.0\nn3 = 20000.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = n3 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "72.72727272727273" - ], - "split": "train" - }, - { - "Input": "a shop owner sells 25 mtr of cloth and gains sp of 10 mtrs . find the gain % ?", - "Output Program": [ - "n0 = 25.0\nn1 = 10.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "66.66666666666666" - ], - "split": "train" - }, - { - "Input": "on a saturday night , each of the rooms at a certain motel was rented for either $ 40 or $ 60 . if 10 of the rooms that were rented for $ 60 had instead been rented for $ 40 , then the total rent the motel charged for that night would have been reduced by 50 percent . what was the total rent the motel actually charged for that night ?", - "Output Program": [ - "n0 = 40.0\nn1 = 60.0\nn2 = 10.0\nn3 = 60.0\nn4 = 40.0\nn5 = 50.0\nt0 = n5 / 100.0\nt1 = n1 - n0\nt2 = n2 * t1\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "a sum fetched a total simple interest of rs . 6016.75 at the rate of 8 p . c . p . a . in 5 years . what is the sum ?", - "Output Program": [ - "n0 = 6016.75\nn1 = 8.0\nn2 = 5.0\nt0 = n0 * 100.0\nt1 = t0 / n1\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "15041.875" - ], - "split": "train" - }, - { - "Input": "the owner of a furniture shop charges his customer 15 % more than the cost price . if a customer paid rs . 8325 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 15.0\nn1 = 8325.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "7239.130434782609" - ], - "split": "train" - }, - { - "Input": "of 600 surveyed students , 20 % of those who read book a also read book b and 25 % of those who read book b also read book a . if each student read at least one of the books , what is the difference between the number of students who read only book a and the number of students who read only book b ?", - "Output Program": [ - "n0 = 600.0\nn1 = 20.0\nn2 = 25.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = t0 / t1\nt3 = 1.0 - t1\nt4 = 1.0 - t0\nt5 = t2 + 1.0\nt6 = t5 - t0\nt7 = n0 / t6\nt8 = t7 * t2\nt9 = t7 * t4\nt10 = t8 * t3\nanswer = t10 - t9\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "train" - }, - { - "Input": "there were two candidates in an election . winner candidate received 62 % of votes and won the election by 300 votes . find the number of votes casted to the winning candidate ?", - "Output Program": [ - "n0 = 62.0\nn1 = 300.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nt3 = n1 / t2\nt4 = n0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "775" - ], - "split": "train" - }, - { - "Input": "peter invested a certain sum of money in a simple interest bond whose value grew to $ 300 at the end of 3 years and further to $ 400 at the end of another 5 years . what was the rate of interest in which he invested his sum ?", - "Output Program": [ - "n0 = 300.0\nn1 = 3.0\nn2 = 400.0\nn3 = 5.0\nt0 = n2 - n0\nt1 = t0 / n3\nt2 = n1 * t1\nt3 = n0 - t2\nt4 = t1 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "8.333333333333332" - ], - "split": "train" - }, - { - "Input": "in a school 50 % of the students are younger than 10 , 1 / 20 are 10 years old and 1 / 10 are older than 10 but younger than 12 , the remaining 70 students are 12 years or older . how many students are 10 years old ?", - "Output Program": [ - "n0 = 50.0\nn1 = 10.0\nn2 = 1.0\nn3 = 20.0\nn4 = 10.0\nn5 = 1.0\nn6 = 10.0\nn7 = 10.0\nn8 = 12.0\nn9 = 70.0\nn10 = 12.0\nn11 = 10.0\nt0 = n0 / 100.0\nt1 = n2 / n3\nt2 = n2 / n1\nt3 = 1.0 - t0\nt4 = t3 - t1\nt5 = t4 - t2\nt6 = n9 / t5\nanswer = t6 / n3\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "the workforce of company x is 60 % female . the company hired 30 additional male workers , and as a result , the percent of female workers dropped to 55 % . how many employees did the company have after hiring the additional male workers ?", - "Output Program": [ - "n0 = 60.0\nn1 = 30.0\nn2 = 55.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 * t0\nt3 = t1 - t0\nt4 = t2 / t3\nanswer = n1 + t4\nprint(answer)" - ], - "Output Answer": [ - "360.00000000000045" - ], - "split": "train" - }, - { - "Input": "20 litres of mixture contains 20 % alcohol and the rest water . if 3 litres of water be mixed with it , the percentage of alcohol in the new mixture would be ?", - "Output Program": [ - "n0 = 20.0\nn1 = 20.0\nn2 = 3.0\nt0 = n0 + n2\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nt3 = n0 * t2\nt4 = n2 + t3\nt5 = t0 - t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "17.391304347826086" - ], - "split": "train" - }, - { - "Input": "the difference between compound interest and simple interest on a certain amount of money at 5 % per annum for 2 years is 17 . find the sum :", - "Output Program": [ - "n0 = 5.0\nn1 = 2.0\nn2 = 17.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = n1 * t0\nt3 = t2 + 1.0\nt4 = t1**min(n1, 5)\nt5 = t4 - t3\nanswer = n2 / t5\nprint(answer)" - ], - "Output Answer": [ - "6800.000000000145" - ], - "split": "train" - }, - { - "Input": "242 students represent x percent of the boys at a school . if the boys at the school make up 50 % of the total school population of x students , what is x ?", - "Output Program": [ - "import math\nn0 = 242.0\nn1 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * 100.0\nt2 = t1 / t0\nanswer = math.sqrt(max(0, t2))\nprint(answer)" - ], - "Output Answer": [ - "220" - ], - "split": "train" - }, - { - "Input": "some of 15 % - intensity red paint is replaced with 25 % solution of red paint such that the new paint intensity is 30 % . what fraction of the original paint was replaced ?", - "Output Program": [ - "n0 = 15.0\nn1 = 25.0\nn2 = 30.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 - t1\nt4 = t2 - t1\nanswer = t3 / t4\nprint(answer)" - ], - "Output Answer": [ - "1.4999999999999998" - ], - "split": "train" - }, - { - "Input": "the price of a t . v . set worth rs . 60000 is to be paid in 20 installments of rs . 1000 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ?", - "Output Program": [ - "n0 = 60000.0\nn1 = 20.0\nn2 = 1000.0\nn3 = 6.0\n\nanswer = n0 - n2\nprint(answer)" - ], - "Output Answer": [ - "59000" - ], - "split": "train" - }, - { - "Input": "if a man lost 4 % by selling oranges at the rate of 36 a rupee at how many a rupee must he sell them to gain 44 % ?", - "Output Program": [ - "n0 = 4.0\nn1 = 36.0\nn2 = 44.0\nt0 = n2 + 100.0\nt1 = 100.0 - n0\nt2 = n1 * t1\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "24" - ], - "split": "train" - }, - { - "Input": "in a school of 600 students , 45 % wear blue shirts , 23 % wear red shirts , 15 % wear green shirts , and the remaining students wear other colors . how many students wear other colors ( not blue , not red , not green ) ?", - "Output Program": [ - "n0 = 600.0\nn1 = 45.0\nn2 = 23.0\nn3 = 15.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = n0 * t0\nt4 = n0 * t1\nt5 = n0 * t2\nt6 = t3 + t4\nt7 = t6 + t5\nanswer = n0 - t7\nprint(answer)" - ], - "Output Answer": [ - "102" - ], - "split": "train" - }, - { - "Input": "the difference between compound interest and simple interest on a certain amount of money at 5 % per annum for 2 years is 16 . find the sum :", - "Output Program": [ - "n0 = 5.0\nn1 = 2.0\nn2 = 16.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = n1 * t0\nt3 = t2 + 1.0\nt4 = t1**min(n1, 5)\nt5 = t4 - t3\nanswer = n2 / t5\nprint(answer)" - ], - "Output Answer": [ - "6400.000000000136" - ], - "split": "train" - }, - { - "Input": "a sum of money deposited at c . i . amounts to rs . 2420 in 2 years and to rs . 2783 in 3 years . find the rate percent ?", - "Output Program": [ - "n0 = 2420.0\nn1 = 2.0\nn2 = 2783.0\nn3 = 3.0\nt0 = n2 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "a present value of a machine is $ 400 . its value depletiation rate is 25 % per annum then find the machine value after 2 years ?", - "Output Program": [ - "n0 = 400.0\nn1 = 25.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "225" - ], - "split": "train" - }, - { - "Input": "a store \u2019 s selling price of $ 2240 for a certain computer would yield a profit of 40 percent of the store \u2019 s cost for the computer . what selling price would yield a profit of 50 percent of the computer \u2019 s cost ?", - "Output Program": [ - "n0 = 2240.0\nn1 = 40.0\nn2 = 50.0\nt0 = n2 + 100.0\nt1 = n1 + 100.0\nt2 = t0 / t1\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "2400" - ], - "split": "train" - }, - { - "Input": "a , b and c enter into partnership . a invests some money at the beginning , b invests double the amount after 6 months , and c invests thrice the amount after 8 months . if the annual gain be rs . 12000 . a ' s share is ?", - "Output Program": [ - "n0 = 6.0\nn1 = 8.0\nn2 = 12000.0\nt0 = 1.0 * 12.0\nt1 = 12.0 - n0\nt2 = 12.0 - n1\nt3 = t1 * 2.0\nt4 = t2 * 3.0\nt5 = t0 + t3\nt6 = t5 + t4\nt7 = n2 / t6\nanswer = t7 * t0\nprint(answer)" - ], - "Output Answer": [ - "4000" - ], - "split": "train" - }, - { - "Input": "each month , after jill pays for rent , utilities , food , and other necessary expenses , she has one fifth of her net monthly salary left as discretionary income . of this discretionary income , she puts 30 % into a vacation fund , 20 % into savings , and spends 35 % on eating out and socializing . this leaves her with $ 102 dollar , which she typically uses for gifts and charitable causes . what is jill \u2019 s net monthly salary ?", - "Output Program": [ - "n0 = 30.0\nn1 = 20.0\nn2 = 35.0\nn3 = 102.0\nt0 = n0 + n1\nt1 = 2.0 + 3.0\nt2 = n2 + t0\nt3 = t1 * 100.0\nt4 = 100.0 - t2\nt5 = n3 / t4\nanswer = t5 * t3\nprint(answer)" - ], - "Output Answer": [ - "3400" - ], - "split": "train" - }, - { - "Input": "of the 120 passengers on flight 750 , 30 % are female . 10 % of the passengers sit in first class , and the rest of the passengers sit in coach class . if 1 / 3 of the passengers in first class are male , how many females are there in coach class ?", - "Output Program": [ - "n0 = 120.0\nn1 = 750.0\nn2 = 30.0\nn3 = 10.0\nn4 = 1.0\nn5 = 3.0\nt0 = n2 / 100.0\nt1 = n3 / 100.0\nt2 = n0 * t0\nt3 = n0 * t1\nt4 = t3 / n5\nt5 = t3 - t4\nanswer = t2 - t5\nprint(answer)" - ], - "Output Answer": [ - "28" - ], - "split": "train" - }, - { - "Input": "on a certain transatlantic crossing , 15 percent of a ship ' s passengers held round - trip tickets and also took their cars abroad the ship . if 60 percent of the passengers with round - trip tickets did not take their cars abroad the ship , what percent of the ship ' s passengers held round - trip tickets ?", - "Output Program": [ - "n0 = 15.0\nn1 = 60.0\nt0 = 100.0 - n1\nt1 = t0 / 100.0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "37.5" - ], - "split": "train" - }, - { - "Input": "running at the same rate , 8 identical machines can produce 560 paperclips a minute . at this rate , how many paperclips could 10 machines produce in 6 minutes ?", - "Output Program": [ - "n0 = 8.0\nn1 = 560.0\nn2 = 10.0\nn3 = 6.0\nt0 = n2 / n0\nt1 = n1 * t0\nanswer = n3 * t1\nprint(answer)" - ], - "Output Answer": [ - "4200" - ], - "split": "train" - }, - { - "Input": "if $ 100 invested at a certain rate of simple interest amounts to $ 140 at the end of 3 years , how much will $ 150 amount to at the same rate of interest in 6 years ?", - "Output Program": [ - "n0 = 100.0\nn1 = 140.0\nn2 = 3.0\nn3 = 150.0\nn4 = 6.0\nt0 = n3 * n4\nt1 = n1 - n0\nt2 = t1 * 100.0\nt3 = t2 / n0\nt4 = t3 / n2\nt5 = t4 * t0\nt6 = t5 / n0\nanswer = n3 + t6\nprint(answer)" - ], - "Output Answer": [ - "270" - ], - "split": "train" - }, - { - "Input": "the owner of a furniture shop charges his customer 100 % more than the cost price . if a customer paid rs . 1000 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 100.0\nn1 = 1000.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "train" - }, - { - "Input": "a circle graph shows how the megatech corporation allocates its research and development budget : 13 % microphotonics ; 24 % home electronics ; 15 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics . if the arc of each sector of the graph is proportional to the percentage of the budget it represents , how many degrees of the circle are used to represent basic astrophysics research ?", - "Output Program": [ - "n0 = 13.0\nn1 = 24.0\nn2 = 15.0\nn3 = 29.0\nn4 = 8.0\nt0 = n0 + n1\nt1 = 3600.0 / 10.0\nt2 = n2 + t0\nt3 = n3 + t2\nt4 = n4 + t3\nt5 = 100.0 - t4\nt6 = t1 * t5\nanswer = t6 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "39.6" - ], - "split": "train" - }, - { - "Input": "by investing rs . 1620 in 8 % stock , michael earns rs . 135 . the stock is then quoted at :", - "Output Program": [ - "n0 = 1620.0\nn1 = 8.0\nn2 = 135.0\nt0 = n0 / n2\nt1 = n1 / 100.0\nt2 = t0 * t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "96" - ], - "split": "train" - }, - { - "Input": "at what rate percent on simple interest will rs . 750 amount to rs . 900 in 16 years ?", - "Output Program": [ - "n0 = 750.0\nn1 = 900.0\nn2 = 16.0\nt0 = n1 - n0\nt1 = t0 / n0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "1.25" - ], - "split": "train" - }, - { - "Input": "if an article is sold at 18 % profit instead of 9 % profit , then the profit would be $ 72 more . what is the cost price ?", - "Output Program": [ - "n0 = 18.0\nn1 = 9.0\nn2 = 72.0\nt0 = n2 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "train" - }, - { - "Input": "in a certain company 20 % of the men and 40 % of the women attended the annual company picnic . if 35 % of all the employees are men . what % of all the employee went to the picnic ?", - "Output Program": [ - "n0 = 20.0\nn1 = 40.0\nn2 = 35.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = 100.0 - n2\nt4 = t3 / 100.0\nt5 = t0 * t1\nt6 = t4 * t2\nt7 = t5 + t6\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33" - ], - "split": "train" - }, - { - "Input": "a candidate got 34 % of the votes polled and he lost to his rival by 640 votes . how many votes were cast ?", - "Output Program": [ - "n0 = 34.0\nn1 = 640.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "2000.0000000000007" - ], - "split": "train" - }, - { - "Input": "a survey was sent to 90 customers , 7 of whom responded . then the survey was redesigned and sent to another 63 customers , 9 of whom responded . by approximately what percent did the response rate increase from the original survey to the redesigned survey ?", - "Output Program": [ - "import math\nn0 = 90.0\nn1 = 7.0\nn2 = 63.0\nn3 = 9.0\nt0 = n3 / n2\nt1 = n1 / n0\nt2 = t0 - t1\nt3 = t2 * 100.0\nanswer = math.floor(t3)\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "the simple interest on rs . 23 for 3 months at the rate of 5 paise per rupeeper month is", - "Output Program": [ - "n0 = 23.0\nn1 = 3.0\nn2 = 5.0\nt0 = n0 * n1\nt1 = n2 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "3.45" - ], - "split": "train" - }, - { - "Input": "the weight of a glass of jar is 15 % of the weight of the jar filled with coffee beans . after some of the beans have been removed , the weight of the jar and the remaining beans is 60 % of the original total weight . what fraction part of the beans remain in the jar ?", - "Output Program": [ - "n0 = 15.0\nn1 = 60.0\nt0 = n1 - n0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.5294117647058824" - ], - "split": "train" - }, - { - "Input": "a man has $ 10,000 to invest . he invests $ 4000 at 5 % and $ 3500 at 4 % . in order to have a yearly income of $ 500 , he must invest the remainder at :", - "Output Program": [ - "n0 = 10000.0\nn1 = 4000.0\nn2 = 5.0\nn3 = 3500.0\nn4 = 4.0\nn5 = 500.0\nt0 = n1 / 100.0\nt1 = n3 / 100.0\nt2 = 100.0 * 100.0\nt3 = n2 * t0\nt4 = n4 * t1\nt5 = t2 - n1\nt6 = n5 - t3\nt7 = t5 - n3\nt8 = t7 / 100.0\nt9 = t6 - t4\nanswer = t9 / t8\nprint(answer)" - ], - "Output Answer": [ - "6.4" - ], - "split": "train" - }, - { - "Input": "find the compound interest on $ 1200 for 1 year at 20 % p . a . if ci is component yearly ?", - "Output Program": [ - "n0 = 1200.0\nn1 = 1.0\nn2 = 20.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nt3 = n0 * t2\nanswer = t3 - n0\nprint(answer)" - ], - "Output Answer": [ - "240" - ], - "split": "train" - }, - { - "Input": "the manager of a produce market purchased a quantity of tomatoes for $ 0.80 per pound . due to improper handling , 10 percent of the tomatoes , by weight , were ruined and discarded . at what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 12 percent of the cost of the tomatoes .", - "Output Program": [ - "n0 = 0.8\nn1 = 10.0\nn2 = 12.0\nt0 = n2 / 100.0\nt1 = 100.0 - n1\nt2 = t0 + 1.0\nt3 = t1 / 100.0\nt4 = n0 / t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "0.9955555555555557" - ], - "split": "train" - }, - { - "Input": "if 5 % more is gained by selling an article for rs . 220 than by selling it for rs . 160 , the cost of the article is ?", - "Output Program": [ - "n0 = 5.0\nn1 = 220.0\nn2 = 160.0\nt0 = n0 / 100.0\nt1 = n1 - n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "1200" - ], - "split": "train" - }, - { - "Input": "an engineering student has to secure 36 % marks to pass . he gets 130 marks and fails by 14 marks . the maximum number of marks obtained by him is ?", - "Output Program": [ - "n0 = 36.0\nn1 = 130.0\nn2 = 14.0\nt0 = n1 + n2\nt1 = t0 * 100.0\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "if 11 oranges bought 10 r and 10 oranges sold 11 r . what is the profit", - "Output Program": [ - "n0 = 11.0\nn1 = 10.0\nn2 = 10.0\nn3 = 11.0\nt0 = n0 / n1\nt1 = n1 / n0\nt2 = t0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "21.000000000000014" - ], - "split": "train" - }, - { - "Input": "the salary of a typist was at first raised by 10 % and then the same was reduced by 5 % . if he presently draws rs . 3135 . what was his original salary ?", - "Output Program": [ - "n0 = 10.0\nn1 = 5.0\nn2 = 3135.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "3000" - ], - "split": "train" - }, - { - "Input": "how much 45 % of 60 is greater than 35 % of 40 ?", - "Output Program": [ - "n0 = 45.0\nn1 = 60.0\nn2 = 35.0\nn3 = 40.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "13" - ], - "split": "train" - }, - { - "Input": "a grocer has 400 pounds of coffee in stock , 25 percent of which is decaffeinated . if the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated , what percent , by weight , of the grocer \u2019 s stock of coffee is decaffeinated ?", - "Output Program": [ - "n0 = 400.0\nn1 = 25.0\nn2 = 100.0\nn3 = 60.0\nt0 = n0 + n2\nt1 = n1 / 100.0\nt2 = n3 / 100.0\nt3 = n0 * t1\nt4 = n2 * t2\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "32" - ], - "split": "train" - }, - { - "Input": "the current birth rate per certain number of people is 52 , whereas corresponding death rate is 16 per same number of people . if the net growth rate in terms of population increase is 1.2 percent , find number of persons . ( initally )", - "Output Program": [ - "n0 = 52.0\nn1 = 16.0\nn2 = 1.2\nt0 = n0 - n1\nt1 = t0 / n2\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "3000" - ], - "split": "train" - }, - { - "Input": "by investing rs . 1800 in 9 % stock , syam earns rs . 120 . the stock is then quoted at", - "Output Program": [ - "n0 = 1800.0\nn1 = 9.0\nn2 = 120.0\nt0 = n0 / n2\nt1 = n1 / 100.0\nt2 = t0 * t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "135" - ], - "split": "train" - }, - { - "Input": "what is rate of interest if principal . amount be 400 , simple interest 120 and time 2 year .", - "Output Program": [ - "n0 = 400.0\nn1 = 120.0\nn2 = 2.0\nt0 = n0 * n2\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "if the personal income tax rate is lowered from 42 % to 32 % , what is the differential savings for a tax payer having an annual income before tax to the tune of $ 42400 ?", - "Output Program": [ - "n0 = 42.0\nn1 = 32.0\nn2 = 42400.0\nt0 = n2 / 100.0\nt1 = n0 - n1\nanswer = t0 * t1\nprint(answer)" - ], - "Output Answer": [ - "4240" - ], - "split": "train" - }, - { - "Input": "at the end of the first quarter , the share price of a certain mutual fund was 20 percent higher than it was at the beginning of the year . at the end of the second quarter , the share price was 50 percent higher than it was at the beginning of the year . what was the percent increase in the share price from the end of the first quarter to the end of the second quarter ?", - "Output Program": [ - "n0 = 20.0\nn1 = 50.0\nt0 = n1 + 100.0\nt1 = n0 + 100.0\nt2 = t0 / t1\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "find the 25 % of rs . 800 .", - "Output Program": [ - "n0 = 25.0\nn1 = 800.0\nt0 = n0 / 100.0\nanswer = n1 * t0\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "an investment yields an interest payment of $ 225 each month . if the simple annual interest rate is 9 % , what is the amount of the investment ?", - "Output Program": [ - "n0 = 225.0\nn1 = 9.0\nt0 = 3.0 * 4.0\nt1 = n1 / t0\nt2 = n0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "30000" - ], - "split": "train" - }, - { - "Input": "an agent , gets a commission of 2.5 % on the sales of cloth . if on a certain day , he gets rs . 18 as commission , the cloth sold through him on that day is worth", - "Output Program": [ - "n0 = 2.5\nn1 = 18.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "720" - ], - "split": "train" - }, - { - "Input": "find the compound interest accrued on an amount of rs . 14,800 at 13.5 % p . a at the end of two years . ( round off your answer to nearest integer )", - "Output Program": [ - "n0 = 14800.0\nn1 = 13.5\nt0 = 3.0 + 4.0\nt1 = 2.0 + 3.0\nt2 = n1 / 100.0\nt3 = t2 + 1.0\nt4 = t0 * 2.0\nt5 = t1 * 2.0\nt6 = t5 * 100.0\nt7 = t3**min(2.0, 5)\nt8 = t5 - 2.0\nt9 = t4 * t6\nt10 = t8 * 100.0\nt11 = t7 - 1.0\nt12 = t9 + t10\nanswer = t12 * t11\nprint(answer)" - ], - "Output Answer": [ - "4265.73" - ], - "split": "train" - }, - { - "Input": "the first half of the 20 th century , the population of a particular country increased by 200 percent . in the second half of the century , the population increased by 300 percent . what was the percent increase for the 20 th century as a whole ?", - "Output Program": [ - "n0 = 20.0\nn1 = 200.0\nn2 = 300.0\nn3 = 20.0\nt0 = n2 / 100.0\nt1 = t0 * 100.0\nt2 = t0 * t1\nt3 = t2 + t1\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "1100" - ], - "split": "train" - }, - { - "Input": "a solution contains 8 parts of water for every 7 parts of lemonade syrup . how many parts of the solution should be removed and replaced with water so that the solution will now contain 40 % lemonade syrup ?", - "Output Program": [ - "n0 = 8.0\nn1 = 7.0\nn2 = 40.0\nt0 = n0 + n1\nt1 = 2.0 + 3.0\nt2 = n1 / t0\nt3 = 2.0 / t1\nt4 = t2 - t3\nt5 = t4 / t2\nanswer = t0 * t5\nprint(answer)" - ], - "Output Answer": [ - "2.1428571428571423" - ], - "split": "train" - }, - { - "Input": "the length of a rectangular floor is more than its breadth by 200 % . if rs . 640 is required to paint the floor at the rate of rs . 5 per sq m , then what would be the length of the floor ?", - "Output Program": [ - "import math\nn0 = 200.0\nn1 = 640.0\nn2 = 5.0\nt0 = n1 / n2\nt1 = t0 / 3.0\nt2 = math.sqrt(max(0, t1))\nanswer = t2 * 3.0\nprint(answer)" - ], - "Output Answer": [ - "19.595917942265423" - ], - "split": "train" - }, - { - "Input": "a reduction of 15 % in the price of wheat enables a house wife to obtain 3 kgs more for rs . 500 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 15.0\nn1 = 3.0\nn2 = 500.0\nt0 = 100.0 - n0\nt1 = t0 / 100.0\nt2 = n2 * t1\nt3 = n2 - t2\nanswer = t3 / n1\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "a man buys a cycle for rs . 1800 and sells it at a loss of 10 % . what is the selling price of the cycle ?", - "Output Program": [ - "n0 = 1800.0\nn1 = 10.0\nt0 = 100.0 - n1\nt1 = n0 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1620" - ], - "split": "train" - }, - { - "Input": "the banker ' s gain on a bill due due 1 year hence at 12 % per annum is rs . 6 . the true discount is", - "Output Program": [ - "n0 = 1.0\nn1 = 12.0\nn2 = 6.0\nt0 = n1 / 100.0\nanswer = n2 / t0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "a 14 % stock yielding 10 % is quoted at :", - "Output Program": [ - "n0 = 14.0\nn1 = 10.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "140" - ], - "split": "train" - }, - { - "Input": "a 25 % stock yielding 20 % is quoted at :", - "Output Program": [ - "n0 = 25.0\nn1 = 20.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "125" - ], - "split": "train" - }, - { - "Input": "a baseball card decreased in value 50 % in its first year and 10 % in its second year . what was the total percent decrease of the card ' s value over the two years ?", - "Output Program": [ - "n0 = 50.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = t4 * 100.0\nanswer = 100.0 - t5\nprint(answer)" - ], - "Output Answer": [ - "55" - ], - "split": "train" - }, - { - "Input": "at a small company , 64 percent of the employees are women , and 60 percent of the employees are married . if 2 / 3 of the men are single , what fraction of the women are married ?", - "Output Program": [ - "n0 = 64.0\nn1 = 60.0\nn2 = 2.0\nn3 = 3.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = n2 / n3\nt3 = 1.0 - t1\nt4 = 1.0 - t2\nt5 = t3 * t4\nt6 = t0 - t5\nanswer = t6 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.75" - ], - "split": "train" - }, - { - "Input": "if annual decrease in the population of a town is 10 % and the present number of people is 500 what will the population be in 1 year ?", - "Output Program": [ - "n0 = 10.0\nn1 = 500.0\nn2 = 1.0\nt0 = 100.0 - n0\nt1 = t0 / 100.0\nt2 = t1**min(n2, 5)\nanswer = n1 * t2\nprint(answer)" - ], - "Output Answer": [ - "450" - ], - "split": "train" - }, - { - "Input": "sarah operated her lemonade stand monday through friday over a two week period and made a total profit of 350 dollars . on hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days . each cup she sold had a total cost of 75 cents and sarah did not incur any other costs . if every day she sold exactly 32 cups and 4 of the days were hot , then what was the price of 1 cup on a hot day ?", - "Output Program": [ - "n0 = 350.0\nn1 = 25.0\nn2 = 75.0\nn3 = 32.0\nn4 = 4.0\nn5 = 1.0\nt0 = n5 + 4.0\nt1 = n1 + 100.0\nt2 = n2 / 100.0\nt3 = t1 / 100.0\nt4 = n3 * t2\nt5 = t0 * 2.0\nt6 = t4 * t5\nt7 = n4 * t3\nt8 = t5 - n4\nt9 = n0 + t6\nt10 = n3 * t8\nt11 = n3 * t7\nt12 = t10 + t11\nt13 = t9 / t12\nanswer = t13 * t3\nprint(answer)" - ], - "Output Answer": [ - "2.0951704545454546" - ], - "split": "train" - }, - { - "Input": "solution x is 10 % chemical a and 90 % chemical b by volume . solution y is 20 % chemical a and 80 % chemical b by volume . if a mixture of x and y is 12 % chemical a , what percent of the mixture is solution x ?", - "Output Program": [ - "n0 = 10.0\nn1 = 90.0\nn2 = 20.0\nn3 = 80.0\nn4 = 12.0\nt0 = n2 - n4\nt1 = n4 - n0\nt2 = t0 / t1\nt3 = t2 + 1.0\nt4 = t2 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "milk contains 5 % water . what quantity of pure milk should be added to 10 litres of milk to reduce this 2 % ?", - "Output Program": [ - "n0 = 5.0\nn1 = 10.0\nn2 = 2.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 * t0\nt3 = t2 / t1\nanswer = t3 - n1\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "train" - }, - { - "Input": "solution p is 20 percent lemonade and 80 percent carbonated water by volume ; solution q is 45 percent lemonade and 55 percent carbonated water by volume . if a mixture of pq contains 67.5 % percent carbonated water , what percent of the volume of the mixture is p ?", - "Output Program": [ - "n0 = 20.0\nn1 = 80.0\nn2 = 45.0\nn3 = 55.0\nn4 = 67.5\nt0 = n4 / 100.0\nt1 = n3 / 100.0\nt2 = n1 / 100.0\nt3 = t0 - t1\nt4 = t2 - t0\nt5 = t3 + t4\nt6 = t3 / t5\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "at what rate percent per annum will a sum of money double in 7 years .", - "Output Program": [ - "n0 = 7.0\n\nanswer = 100.0 / n0\nprint(answer)" - ], - "Output Answer": [ - "14.285714285714286" - ], - "split": "train" - }, - { - "Input": "the length of a rectangular floor is more than its breadth by 200 % . if rs . 361 is required to paint the floor at the rate of rs . 3.00001 / sq m , what would be the length of the floor ?", - "Output Program": [ - "import math\nn0 = 200.0\nn1 = 361.0\nn2 = 3.00001\nt0 = n1 / n2\nt1 = t0 / 3.0\nt2 = math.sqrt(max(0, t1))\nanswer = t2 * 3.0\nprint(answer)" - ], - "Output Answer": [ - "18.9999683334125" - ], - "split": "train" - }, - { - "Input": "the calendar of the year 2080 can be used again in the year ?", - "Output Program": [ - "n0 = 2080.0\nt0 = 4.0 * 4.0\nt1 = t0 - 2.0\nt2 = t1 * 2.0\nanswer = n0 + t2\nprint(answer)" - ], - "Output Answer": [ - "2108" - ], - "split": "train" - }, - { - "Input": "a tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume . if 5,500 gallons of water evaporate from the tank , the remaining solution will be approximately what percent sodium chloride ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 5.0\nn2 = 5500.0\nt0 = 2.0 + 3.0\nt1 = n1 / 100.0\nt2 = 100.0 * 100.0\nt3 = t1 * t2\nt4 = t0 * 2.0\nt5 = t0 * 100.0\nt6 = t4 * 100.0\nt7 = t0 * t6\nt8 = t7 + t5\nt9 = t2 - t8\nt10 = t3 / t9\nanswer = t10 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "11.11111111111111" - ], - "split": "train" - }, - { - "Input": "mahesh marks an article 15 % above the cost price of rs . 540 . what must be his discount percentage if he sells it at rs . 457 ?", - "Output Program": [ - "n0 = 15.0\nn1 = 540.0\nn2 = 457.0\nt0 = n0 + 100.0\nt1 = t0 / 100.0\nt2 = n1 * t1\nt3 = t2 - n2\nt4 = t3 * 100.0\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "26.40901771336554" - ], - "split": "train" - }, - { - "Input": "boy sells a book for rs . 450 he gets a loss of 10 % , to gain 10 % , at price he should sell ?", - "Output Program": [ - "n0 = 450.0\nn1 = 10.0\nn2 = 10.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = 1.0 - t0\nt3 = n0 / t2\nt4 = t3 * t1\nanswer = t3 + t4\nprint(answer)" - ], - "Output Answer": [ - "550" - ], - "split": "train" - }, - { - "Input": "a 7 % stock yields 10 % . the market value of the stock is :", - "Output Program": [ - "n0 = 7.0\nn1 = 10.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "70" - ], - "split": "train" - }, - { - "Input": "there were two candidates in an election . winner candidate received 62 % of votes and won the election by 360 votes . find the number of votes casted to the winning candidate ?", - "Output Program": [ - "n0 = 62.0\nn1 = 360.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nt3 = n1 / t2\nt4 = n0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "930" - ], - "split": "train" - }, - { - "Input": "john had a stock of 1300 books in his bookshop . he sold 75 on monday , 50 on tuesday , 64 on wednesday , 78 on thursday and 135 on friday . what percentage of the books were not sold ?", - "Output Program": [ - "n0 = 1300.0\nn1 = 75.0\nn2 = 50.0\nn3 = 64.0\nn4 = 78.0\nn5 = 135.0\nt0 = n1 + n2\nt1 = n3 + n4\nt2 = t0 + t1\nt3 = n5 + t2\nt4 = n0 - t3\nt5 = t4 / n0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "69.07692307692308" - ], - "split": "train" - }, - { - "Input": "a furniture dealer purchased a desk for $ 150 and then set the selling price equal to the purchase price plus a markup that was 25 % of the selling price . if the dealer sold the desk at the selling price , what was the amount of the dealer ' s gross profit from the purchase and the sale of the desk ?", - "Output Program": [ - "n0 = 150.0\nn1 = 25.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nt2 = n0 / t1\nt3 = t2 - n0\nt4 = t3 * 100.0\nanswer = t4 / n0\nprint(answer)" - ], - "Output Answer": [ - "33.333333333333336" - ], - "split": "train" - }, - { - "Input": "a candidate got 30 % of the votes polled and he lost to his rival by 1760 votes . how many votes were cast ?", - "Output Program": [ - "n0 = 30.0\nn1 = 1760.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "4400" - ], - "split": "train" - }, - { - "Input": "simple interest on a certain sum of money for 3 years at 8 % per annum is half the compound interest on rs . 4000 for 2 years at 10 % per annum . the sum placed on simple interest is", - "Output Program": [ - "n0 = 3.0\nn1 = 8.0\nn2 = 4000.0\nn3 = 2.0\nn4 = 10.0\nt0 = n2 * n4\nt1 = t0 / 100.0\nt2 = n2 + t1\nt3 = n4 * t2\nt4 = t3 / 100.0\nt5 = t1 + t4\nt6 = t5 / n3\nt7 = t6 / n0\nt8 = t7 * 100.0\nanswer = t8 / n1\nprint(answer)" - ], - "Output Answer": [ - "1750" - ], - "split": "train" - }, - { - "Input": "a car is purchased on hire - purchase . the cash price is $ 21 000 and the terms are a deposit of 10 % of the price , then the balance to be paid off over 60 equal monthly instalments . interest is charged at 12 % p . a . what is the monthly instalment ?", - "Output Program": [ - "n0 = 21.0\nn1 = 0.0\nn2 = 10.0\nn3 = 60.0\nn4 = 12.0\nt0 = n2 / 100.0\nt1 = n4 / 100.0\nt2 = n0 * 1000.0\nt3 = t1 / 12.0\nt4 = 1.0 - t0\nt5 = t2 * t4\nt6 = t5 / n3\nt7 = t3 * t5\nanswer = t6 + t7\nprint(answer)" - ], - "Output Answer": [ - "504" - ], - "split": "train" - }, - { - "Input": "an agent , gets a commission of 2.5 % on the sales of cloth . if on a certain day , he gets rs . 15 as commission , the cloth sold through him on that day is worth", - "Output Program": [ - "n0 = 2.5\nn1 = 15.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "the salaries of a and b together amount to $ 2000 . a spends 95 % of his salary and b , 85 % of his . if now , their savings are the same , what is a ' s salary ?", - "Output Program": [ - "n0 = 2000.0\nn1 = 95.0\nn2 = 85.0\nt0 = 100.0 - n2\nt1 = 100.0 - n1\nt2 = t0 / t1\nt3 = t2 + 1.0\nt4 = n0 / t3\nanswer = n0 - t4\nprint(answer)" - ], - "Output Answer": [ - "1500" - ], - "split": "train" - }, - { - "Input": "a man invested rs . 14,400 in rs . 100 shares of a company at 20 % premium . if his company declares 5 % dividend at the end of the year , then how much does he get ?", - "Output Program": [ - "n0 = 14400.0\nn1 = 100.0\nn2 = 20.0\nn3 = 5.0\nt0 = n3 / n1\nt1 = n2 / n1\nt2 = 10.0 * 1000.0\nt3 = 1000.0 * 4.0\nt4 = n1 * 4.0\nt5 = t2 + t3\nt6 = n1 * t1\nt7 = t5 + t4\nt8 = n1 + t6\nt9 = t7 / t8\nt10 = n1 * t9\nanswer = t0 * t10\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "a man sold 18 toys for rs . 27300 , gaining thereby the cost price of 3 toy find the cost price of a toy", - "Output Program": [ - "n0 = 18.0\nn1 = 27300.0\nn2 = 3.0\nt0 = n0 + n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "1300" - ], - "split": "train" - }, - { - "Input": "if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs . 2080 less than the principal . what was the principal ?", - "Output Program": [ - "n0 = 4.0\nn1 = 5.0\nn2 = 2080.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "2600" - ], - "split": "train" - }, - { - "Input": "a candidate got 35 % of the votes polled and he lost to his rival by 2250 votes . how many votes were cast ?", - "Output Program": [ - "n0 = 35.0\nn1 = 2250.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "7499.999999999999" - ], - "split": "train" - }, - { - "Input": "the charge for a single room at hotel p is 25 percent less than the charge for a single room at hotel r and 10 percent less than the charge for a single room at hotel g . the charge for a single room at hotel r is what percent greater than the charge for a single room at hotel g ?", - "Output Program": [ - "n0 = 25.0\nn1 = 10.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = t0 / t1\nt3 = t2 * 100.0\nt4 = 100.0 - t3\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "19.999999999999986" - ], - "split": "train" - }, - { - "Input": "the s . i . on a certain sum of money for 2 years at 6 % per annum is half the c . i . on rs . 4000 for 2 years at 10 % per annum . the sum placed on s . i . is ?", - "Output Program": [ - "n0 = 2.0\nn1 = 6.0\nn2 = 4000.0\nn3 = 2.0\nn4 = 10.0\nt0 = n4 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = n0 * t1\nt4 = t2**min(n3, 5)\nt5 = n2 * t4\nt6 = t5 - n2\nt7 = t6 / n3\nanswer = t7 / t3\nprint(answer)" - ], - "Output Answer": [ - "3500.000000000004" - ], - "split": "train" - }, - { - "Input": "a reduction of 40 % in the price of bananas would enable a man to obtain 66 more for rs . 40 , what is reduced price per dozen ?", - "Output Program": [ - "n0 = 40.0\nn1 = 66.0\nn2 = 40.0\nt0 = n0 / 100.0\nt1 = n0 * t0\nt2 = t1 / n1\nanswer = t2 * 12.0\nprint(answer)" - ], - "Output Answer": [ - "2.909090909090909" - ], - "split": "train" - }, - { - "Input": "in a certain company 20 % of the men and 40 % of the women attended the annual company picnic . if 45 % of all the employees are men . what % of all the employee went to the picnic ?", - "Output Program": [ - "n0 = 20.0\nn1 = 40.0\nn2 = 45.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = 100.0 - n2\nt4 = t3 / 100.0\nt5 = t0 * t1\nt6 = t4 * t2\nt7 = t5 + t6\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "31.000000000000007" - ], - "split": "train" - }, - { - "Input": "if the cost price is 25 % of selling price . then what is the profit percent", - "Output Program": [ - "n0 = 25.0\nt0 = 100.0 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "300" - ], - "split": "train" - }, - { - "Input": "the price of rice falls by 20 % . how much rice can be bought now with the money that was sufficient to buy 20 kg of rice previously ?", - "Output Program": [ - "n0 = 20.0\nn1 = 20.0\nt0 = 100.0 - n0\nt1 = t0 / n1\nanswer = 100.0 / t1\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "the present population of a town is 260 . population increase rate is 10 % p . a . find the population of town after 1 years ?", - "Output Program": [ - "n0 = 260.0\nn1 = 10.0\nn2 = 1.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "286" - ], - "split": "train" - }, - { - "Input": "fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 8.82 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discount rates is 22 percent , what is the discount rate on pony jeans ?", - "Output Program": [ - "n0 = 15.0\nn1 = 18.0\nn2 = 8.82\nn3 = 5.0\nn4 = 3.0\nn5 = 2.0\nn6 = 22.0\nt0 = n6 / 100.0\nt1 = n1 * n5\nt2 = n0 * n4\nt3 = t0 * t1\nt4 = t2 - t1\nt5 = n2 - t3\nt6 = t5 / t4\nt7 = t0 - t6\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "11.999999999999996" - ], - "split": "train" - }, - { - "Input": "there were two candidates in an election . winner candidate received 65 % of votes and won the election by 300 votes . find the number of votes casted to the winning candidate ?", - "Output Program": [ - "n0 = 65.0\nn1 = 300.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nt3 = n1 / t2\nt4 = n0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "650" - ], - "split": "train" - }, - { - "Input": "a grocer purchased a quantity of bananas at 3 pounds for $ 0.50 and sold the entire quantity at 4 pounds for $ 1.00 . how many pounds did the grocer purchase if the profit from selling the bananas was $ 6.00 ?", - "Output Program": [ - "n0 = 3.0\nn1 = 0.5\nn2 = 4.0\nn3 = 1.0\nn4 = 6.0\nt0 = n3 / n2\nt1 = n1 / n0\nt2 = t0 - t1\nanswer = n4 / t2\nprint(answer)" - ], - "Output Answer": [ - "71.99999999999999" - ], - "split": "train" - }, - { - "Input": "a fruit seller sells mangoes at the rate of rs . 11 per kg and thereby loses 10 % . at what price per kg , he should have sold them to make a profit of 10 % ?", - "Output Program": [ - "n0 = 11.0\nn1 = 10.0\nn2 = 10.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = n0 * t0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "13.444444444444445" - ], - "split": "train" - }, - { - "Input": "the simple interest and the true discount on a certain sum for a given time and at a given rate are rs . 85 and rs . 80 respectively . the sum is :", - "Output Program": [ - "n0 = 85.0\nn1 = 80.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "1360" - ], - "split": "train" - }, - { - "Input": "the population of a town is 20000 . it decreases annually at the rate of 20 % p . a . what will be its population after 2 years ?", - "Output Program": [ - "n0 = 20000.0\nn1 = 20.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n0 - t1\nt3 = t0 * t2\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "12800" - ], - "split": "train" - }, - { - "Input": "the population of a village is 15540 . it increases annually at the rate of 28 % p . a . what will be its population after 2 years ?", - "Output Program": [ - "n0 = 15540.0\nn1 = 28.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "25460.736" - ], - "split": "train" - }, - { - "Input": "the sum of money will be double itself in 10 years and simple interest find rate of interest ?", - "Output Program": [ - "n0 = 10.0\nt0 = n0 / 100.0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "the cost price of a radio is rs . 4500 and it was sold for rs . 3200 , find the loss % ?", - "Output Program": [ - "n0 = 4500.0\nn1 = 3200.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "28.888888888888886" - ], - "split": "train" - }, - { - "Input": "a man bought an article and sold it at a gain of 5 % . if he had bought it at 5 % less and sold it for re 4 less , he would have made a profit of 10 % . the c . p . of the article was", - "Output Program": [ - "n0 = 5.0\nn1 = 5.0\nn2 = 4.0\nn3 = 10.0\nt0 = n0 * n2\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "train" - }, - { - "Input": "a person buys an article at rs . 500 . at what price should he sell the article so as to make a profit of 35 % ?", - "Output Program": [ - "n0 = 500.0\nn1 = 35.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "675" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article offering a discount of 5 % and earned a profit of 42.5 % . what would have been the percentage of profit earned if no discount had been offered ?", - "Output Program": [ - "n0 = 5.0\nn1 = 42.5\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * 100.0\nt3 = t2 / t1\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "train" - }, - { - "Input": "at a special sale , 9 tickets can be purchased for the price of 6 tickets . if 9 tickets are purchased at the sale , the amount saved will be what percent of the original price of the 9 tickets ?", - "Output Program": [ - "n0 = 9.0\nn1 = 6.0\nn2 = 9.0\nn3 = 9.0\nt0 = n0 * n0\nt1 = n0 * n1\nt2 = t0 - t1\nt3 = t2 * 100.0\nanswer = t3 / t0\nprint(answer)" - ], - "Output Answer": [ - "33.333333333333336" - ], - "split": "train" - }, - { - "Input": "harkamal purchased 10 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 10.0\nn1 = 70.0\nn2 = 9.0\nn3 = 55.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1195" - ], - "split": "train" - }, - { - "Input": "a chemical supply company has 60 liters of a 40 % hno 3 solution . how many liters of pure undiluted hno 3 must the chemists add so that the resultant solution is a 50 % solution ?", - "Output Program": [ - "n0 = 60.0\nn1 = 40.0\nn2 = 3.0\nn3 = 3.0\nn4 = 50.0\nt0 = n0 / 2.0\nt1 = n0 * n1\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = t3 * 2.0\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "train" - }, - { - "Input": "a man spends 35 % of his income on food , 25 % on children education and 80 % of the remaining on house rent . what percent of his income he is left with ?", - "Output Program": [ - "n0 = 35.0\nn1 = 25.0\nn2 = 80.0\nt0 = 100.0 - n0\nt1 = 100.0 - n2\nt2 = t0 - n1\nt3 = t2 * t1\nanswer = t3 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "indu gave bindu rs . 500 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?", - "Output Program": [ - "n0 = 500.0\nn1 = 2.0\nn2 = 4.0\nn3 = 2.0\nn4 = 4.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = n0 * t0\nt3 = n1 * t2\nt4 = t1**min(n1, 5)\nt5 = n0 * t4\nt6 = t5 - n0\nanswer = t6 - t3\nprint(answer)" - ], - "Output Answer": [ - "0.8000000000000682" - ], - "split": "train" - }, - { - "Input": "the sale price sarees listed for rs . 400 after successive discount is 10 % and 5 % is ?", - "Output Program": [ - "n0 = 400.0\nn1 = 10.0\nn2 = 5.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "342" - ], - "split": "train" - }, - { - "Input": "in the first 10 overs of a cricket game , the run rate was only 3.4 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?", - "Output Program": [ - "n0 = 10.0\nn1 = 3.4\nn2 = 40.0\nn3 = 282.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "6.2" - ], - "split": "train" - }, - { - "Input": "a football team lost 5 yards and then gained 11 . what is the team ' s progress ?", - "Output Program": [ - "n0 = 5.0\nn1 = 11.0\n\nanswer = n1 - n0\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "train" - }, - { - "Input": "a woman spends 15 % of her income in house rent , 15 % of the rest on his children \u2019 s education , 10 % of the rest miscellaneous causes and 15 % in medical expenses . if she now posses rs . 5548 then her income is ?", - "Output Program": [ - "n0 = 15.0\nn1 = 15.0\nn2 = 10.0\nn3 = 15.0\nn4 = 5548.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t2 * t2\nt5 = t4 * t3\nt6 = t5 * t2\nanswer = n4 / t6\nprint(answer)" - ], - "Output Answer": [ - "10037.768279168647" - ], - "split": "train" - }, - { - "Input": "if leo gains 10 pounds , he will weigh 50 % more than his sister kendra . currently their combined weight is 160 pounds . what is leo ' s current weight ?", - "Output Program": [ - "n0 = 10.0\nn1 = 50.0\nn2 = 160.0\nt0 = n1 + 100.0\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nt3 = n2 * t1\nt4 = t3 - n0\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "92" - ], - "split": "train" - }, - { - "Input": "if 40 % of a certain number is 160 , then what is 60 % of that number ?", - "Output Program": [ - "n0 = 40.0\nn1 = 160.0\nn2 = 60.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 / t0\nanswer = t2 * t1\nprint(answer)" - ], - "Output Answer": [ - "240" - ], - "split": "train" - }, - { - "Input": "sales price is $ 44 , gross profit is 120 % of cost , what is the value of gross profit ?", - "Output Program": [ - "n0 = 44.0\nn1 = 120.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n0 / t1\nanswer = n0 - t2\nprint(answer)" - ], - "Output Answer": [ - "24" - ], - "split": "train" - }, - { - "Input": "a man buys a cycle for rs . 1400 and sells it at a loss of 15 % . what is the selling price of the cycle ?", - "Output Program": [ - "n0 = 1400.0\nn1 = 15.0\nt0 = 100.0 - n1\nt1 = n0 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1190" - ], - "split": "train" - }, - { - "Input": "there were two candidates in an election . winner candidate received 60 % of votes and won the election by 288 votes . find the number of votes casted to the winning candidate ?", - "Output Program": [ - "n0 = 60.0\nn1 = 288.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nt3 = n1 / t2\nt4 = n0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "864" - ], - "split": "train" - }, - { - "Input": "ramu bought an old car for rs . 48000 . he spent rs . 14000 on repairs and sold it for rs . 72900 . what is his profit percent ?", - "Output Program": [ - "n0 = 48000.0\nn1 = 14000.0\nn2 = 72900.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "17.580645161290324" - ], - "split": "train" - }, - { - "Input": "rs . 2600 is divided into two parts such that if one part be put out at 5 % simple interest and the other at 6 % , the yearly annual income may be rs . 140 . how much was lent at 5 % ?", - "Output Program": [ - "n0 = 2600.0\nn1 = 5.0\nn2 = 6.0\nn3 = 140.0\nn4 = 5.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n0 * n2\nt3 = t2 / 100.0\nt4 = t0 - t1\nt5 = n3 - t3\nanswer = t5 / t4\nprint(answer)" - ], - "Output Answer": [ - "1600.000000000001" - ], - "split": "train" - }, - { - "Input": "walking 7 / 6 of his usual rate , a boy reaches his school 6 min early . find his usual time to reach the school ?", - "Output Program": [ - "n0 = 7.0\nn1 = 6.0\nn2 = 6.0\n\nanswer = n0 * n2\nprint(answer)" - ], - "Output Answer": [ - "42" - ], - "split": "train" - }, - { - "Input": "a man sells an article at a profit of 25 % . if he had bought it at 20 % less and sold it for rs . 6.30 less , he would have gained 30 % . find the cost of the article .", - "Output Program": [ - "n0 = 25.0\nn1 = 20.0\nn2 = 6.3\nn3 = 30.0\nt0 = n0 + 100.0\nt1 = n3 + 100.0\nt2 = n2 * 100.0\nt3 = 100.0 - n1\nt4 = t1 * t3\nt5 = t4 / 100.0\nt6 = t0 - t5\nanswer = t2 / t6\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "there are two concentric circles with radii 6 and 4 . if the radius of the outer circle is increased by 50 % and the radius of the inner circle decreased by 25 % , by what percent does the area between the circles increase ?", - "Output Program": [ - "n0 = 6.0\nn1 = 4.0\nn2 = 50.0\nn3 = 25.0\nt0 = n2 + 100.0\nt1 = n0**min(2.0, 5)\nt2 = n1**min(2.0, 5)\nt3 = 100.0 - n3\nt4 = t0 / 100.0\nt5 = t3 / 100.0\nt6 = t1 - t2\nt7 = n0 * t4\nt8 = n1 * t5\nt9 = t7**min(2.0, 5)\nt10 = t8**min(2.0, 5)\nt11 = t9 - t10\nt12 = t11 - t6\nt13 = t12 / t6\nanswer = t13 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "260" - ], - "split": "train" - }, - { - "Input": "a money lender lent rs . 1000 at 3 % per year and rs . 1200 at 5 % per year . the amount should be returned to him when the total interest comes to rs . 350 . find the number of years .", - "Output Program": [ - "n0 = 1000.0\nn1 = 3.0\nn2 = 1200.0\nn3 = 5.0\nn4 = 350.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 + t3\nanswer = n4 / t4\nprint(answer)" - ], - "Output Answer": [ - "3.888888888888889" - ], - "split": "train" - }, - { - "Input": "the effective annual rate of interest corresponding to a nominal rate of 10 % per annum payable half - yearly is ?", - "Output Program": [ - "n0 = 10.0\nt0 = n0 / 2.0\nt1 = t0 + t0\nt2 = t0 * t0\nt3 = t2 / 100.0\nanswer = t1 + t3\nprint(answer)" - ], - "Output Answer": [ - "10.25" - ], - "split": "train" - }, - { - "Input": "ramesh purchased a refrigerator for rs . 16500 after getting a discount of 20 % on the labelled price . he spent rs . 125 on transport and rs . 250 on installation . at what price should it be sold so that the profit earned would be 10 % if no discount was offered ?", - "Output Program": [ - "n0 = 16500.0\nn1 = 20.0\nn2 = 125.0\nn3 = 250.0\nn4 = 10.0\nt0 = n4 + 100.0\nt1 = n2 + n3\nt2 = n0 * 100.0\nt3 = 100.0 - n1\nt4 = t2 / t3\nt5 = t1 + t4\nt6 = t0 * t5\nanswer = t6 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "23100" - ], - "split": "train" - }, - { - "Input": "a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 80 percent of books that were loaned out are returned and there are 65 books in the special collection at that time , how many books of the special collection were loaned out during that month ?", - "Output Program": [ - "n0 = 75.0\nn1 = 80.0\nn2 = 65.0\nt0 = n1 / 100.0\nt1 = n0 - n2\nt2 = 1.0 - t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "50.000000000000014" - ], - "split": "train" - }, - { - "Input": "the owner of a furniture shop charges his customer 24 % more than the cost price . if a customer paid rs . 8091 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 24.0\nn1 = 8091.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "6525" - ], - "split": "train" - }, - { - "Input": "a is a working partner and b is a sleeping partner in the business . a puts in rs . 20000 and b rs . 25000 , a receives 10 % of the profit for managing the business the rest being divided in proportion of their capitals . out of a total profit of rs . 9600 , money received by a is ?", - "Output Program": [ - "n0 = 20000.0\nn1 = 25000.0\nn2 = 10.0\nn3 = 9600.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = n1 / t0\nt3 = 1.0 - t1\nt4 = n3 * t3\nt5 = t2 * t4\nanswer = n3 - t5\nprint(answer)" - ], - "Output Answer": [ - "4800" - ], - "split": "train" - }, - { - "Input": "if leo gains 10 pounds , he will weigh 50 % more than his sister kendra . currently their combined weight is 170 pounds . what is leo ' s current weight ?", - "Output Program": [ - "n0 = 10.0\nn1 = 50.0\nn2 = 170.0\nt0 = n1 + 100.0\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nt3 = n2 * t1\nt4 = t3 - n0\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "98" - ], - "split": "train" - }, - { - "Input": "john and jane went out for a dinner and they ordered the same dish . both used a 10 % discount coupon . john paid a 15 % tip over the original price of the dish , while jane paid the tip over the discounted price for the coupon . if john paid $ 0.63 more than jane , what was the original price of the dish ?", - "Output Program": [ - "n0 = 10.0\nn1 = 15.0\nn2 = 0.63\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t1\nt3 = t0 * t2\nt4 = t0 - t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "42.00000000000004" - ], - "split": "train" - }, - { - "Input": "at what rate percent per annum will sum of money double in 20 years ?", - "Output Program": [ - "n0 = 20.0\n\nanswer = 100.0 / n0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "i bought two books ; for rs . 490 . i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price . find the cost of the book sold at a loss ?", - "Output Program": [ - "n0 = 490.0\nn1 = 15.0\nn2 = 19.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = t0 + t1\nt3 = n0 * t0\nanswer = t3 / t2\nprint(answer)" - ], - "Output Answer": [ - "285.8333333333333" - ], - "split": "train" - }, - { - "Input": "4 mat - weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 8 mat weavers in 8 days ?", - "Output Program": [ - "n0 = 4.0\nn1 = 4.0\nn2 = 4.0\nn3 = 8.0\nn4 = 8.0\nt0 = n3 / n0\nt1 = n0 * t0\nanswer = t0 * t1\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article at $ 1110 and gained a 20 % profit . what was the cost price ?", - "Output Program": [ - "n0 = 1110.0\nn1 = 20.0\nt0 = n1 + 100.0\nt1 = 100.0 / t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "925" - ], - "split": "train" - }, - { - "Input": "if a speaks the truth 85 % of the times , b speaks the truth 60 % of the times . what is the probability that they tell the truth at the same time", - "Output Program": [ - "n0 = 85.0\nn1 = 60.0\nt0 = 4.0 * 5.0\nt1 = t0 * 5.0\nt2 = n0 / t1\nt3 = n1 / t1\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "0.51" - ], - "split": "train" - }, - { - "Input": "on a certain transatlantic crossing , 25 percent of a ship ' s passengers held round - trip tickets and also took their cars abroad the ship . if 60 percent of the passengers with round - trip tickets did not take their cars abroad the ship , what percent of the ship ' s passengers held round - trip tickets ?", - "Output Program": [ - "n0 = 25.0\nn1 = 60.0\nt0 = 100.0 - n1\nt1 = t0 / 100.0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "62.5" - ], - "split": "train" - }, - { - "Input": "in town p , 70 percent of the population are employed , and 21 percent of the population are employed males . what percent of the employed people in town p are females ?", - "Output Program": [ - "n0 = 70.0\nn1 = 21.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "70" - ], - "split": "train" - }, - { - "Input": "a certain college ' s enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991 , and its enrollment at the beginning of 1993 was 10 percent greater than it was at the beginning of 1992 . the college ' s enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ?", - "Output Program": [ - "n0 = 1992.0\nn1 = 20.0\nn2 = 1991.0\nn3 = 1993.0\nn4 = 10.0\nn5 = 1992.0\nn6 = 1993.0\nn7 = 1991.0\nt0 = n1 + 100.0\nt1 = n4 + 100.0\nt2 = t1 / 100.0\nt3 = t0 * t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "32" - ], - "split": "train" - }, - { - "Input": "if the cost price of 58 articles is equal to the selling price of 50 articles , then what is the percent profit ?", - "Output Program": [ - "n0 = 58.0\nn1 = 50.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = 100.0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "15.999999999999995" - ], - "split": "train" - }, - { - "Input": "a company pays 15.5 % dividend to its investors . if an investor buys rs . 50 shares and gets 25 % on investment , at what price did the investor buy the shares ?", - "Output Program": [ - "n0 = 15.5\nn1 = 50.0\nn2 = 25.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = t1 * 100.0\nanswer = t2 / n2\nprint(answer)" - ], - "Output Answer": [ - "31" - ], - "split": "train" - }, - { - "Input": "john and ingrid pay 30 % and 40 % tax annually , respectively . if john makes $ 57000 and ingrid makes $ 72000 , what is their combined tax rate ?", - "Output Program": [ - "n0 = 30.0\nn1 = 40.0\nn2 = 57000.0\nn3 = 72000.0\nt0 = n2 + n3\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = n2 * t1\nt4 = n3 * t2\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "35.581395348837205" - ], - "split": "train" - }, - { - "Input": "rs . 1600 is divided into two parts such that if one part is invested at 6 % and the other at 5 % the whole annual interest from both the sum is rs . 85 . how much was lent at 5.00001 % ?", - "Output Program": [ - "n0 = 1600.0\nn1 = 6.0\nn2 = 5.0\nn3 = 85.0\nn4 = 5.00001\nt0 = n1 + n2\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "1100" - ], - "split": "train" - }, - { - "Input": "on a purchase of $ 130 , a store offered a payment plan consisting of a $ 30 down payment and 12 monthly payments of $ 10 each . what percent of the purchase price , to the nearest tenth of a percent , did the customer pay in interest by using this plan ?", - "Output Program": [ - "n0 = 130.0\nn1 = 30.0\nn2 = 12.0\nn3 = 10.0\nt0 = n2 * n3\nt1 = n1 + t0\nt2 = t1 - t0\nt3 = t2 / n0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "23.076923076923077" - ], - "split": "train" - }, - { - "Input": "find the annual income derived by investing $ 6800 in 40 % stock at 136 .", - "Output Program": [ - "n0 = 6800.0\nn1 = 40.0\nn2 = 136.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" - ], - "Output Answer": [ - "2000" - ], - "split": "train" - }, - { - "Input": "a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 65 percent of books that were loaned out are returned and there are 61 books in the special collection at that time , how many books of the special collection were loaned out during that month ?", - "Output Program": [ - "n0 = 75.0\nn1 = 65.0\nn2 = 61.0\nt0 = n1 / 100.0\nt1 = n0 - n2\nt2 = 1.0 - t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "a man buys a cycle for rs . 1600 and sells it at a loss of 12 % . what is the selling price of the cycle ?", - "Output Program": [ - "n0 = 1600.0\nn1 = 12.0\nt0 = 100.0 - n1\nt1 = n0 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1408" - ], - "split": "train" - }, - { - "Input": "the cost of one photocopy is $ 0.02 . however , a 25 % discount is offered on orders of more than 100 photocopies . if steve and david have to make 80 copies each , how much will each of them save if they submit a single order of 160 copies ?", - "Output Program": [ - "n0 = 0.02\nn1 = 25.0\nn2 = 100.0\nn3 = 80.0\nn4 = 160.0\nt0 = n0 * n3\nt1 = n2 - n1\nt2 = t1 / n2\nt3 = t0 * 2.0\nt4 = n4 * t2\nt5 = n0 * t4\nt6 = t3 - t5\nanswer = t6 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "0.40000000000000013" - ], - "split": "train" - }, - { - "Input": "a man invested rs . 14400 in rs . 100 shares of a company at 20 % premium . if his company declares 5 % dividend at the end of the year , then how much does he get ?", - "Output Program": [ - "n0 = 14400.0\nn1 = 100.0\nn2 = 20.0\nn3 = 5.0\nt0 = n2 + 100.0\nt1 = n3 / 100.0\nt2 = t0 / 100.0\nt3 = n0 / t2\nanswer = t3 * t1\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "train" - }, - { - "Input": "the sale price of an article including the sales tax is rs . 616 . the rate of sales tax is 10 % . if the shopkeeper has made a profit of 15 % , then the cost price of the article is :", - "Output Program": [ - "n0 = 616.0\nn1 = 10.0\nn2 = 15.0\nt0 = n1 + 100.0\nt1 = n2 + 100.0\nt2 = n0 * 100.0\nt3 = t2 / t0\nt4 = t0 * t3\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "535.6521739130435" - ], - "split": "train" - }, - { - "Input": "selling an kite for rs . 30 , a shop keeper gains 35 % . during a clearance sale , the shopkeeper allows a discount of 10 % on the marked price . his gain percent during the sale is ?", - "Output Program": [ - "n0 = 30.0\nn1 = 35.0\nn2 = 10.0\nt0 = n1 + 100.0\nt1 = n0 / 100.0\nt2 = n0 * 100.0\nt3 = 100.0 - n2\nt4 = t2 / t0\nt5 = t1 * t3\nt6 = t5 - t4\nt7 = t6 / t4\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "21.500000000000004" - ], - "split": "train" - }, - { - "Input": "if the simple interest on a sum of money for 2 years at 5 % per annum is rs . 58 , what is the compound interest on the same sum at the rate and for the same time ?", - "Output Program": [ - "n0 = 2.0\nn1 = 5.0\nn2 = 58.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n2 / t1\nt3 = n1 * t2\nt4 = t3 / 100.0\nt5 = t4 + t2\nt6 = n1 * t5\nt7 = t6 / 100.0\nt8 = t5 + t7\nanswer = t8 - t2\nprint(answer)" - ], - "Output Answer": [ - "59.450000000000045" - ], - "split": "train" - }, - { - "Input": "a present value of a machine is $ 40000 . its value depletiation rate is 5 % per annum then find the machine value after 2 years ?", - "Output Program": [ - "n0 = 40000.0\nn1 = 5.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "36100" - ], - "split": "train" - }, - { - "Input": "an amount of rs . 10000 is invested in two types of shares . the first yields an interest of 9 % p . a and the second , 11 % p . a . if the total interest at the end of one year is 9 3 / 4 % , then the amount invested at 11 % was ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 9.0\nn2 = 11.0\nn3 = 9.0\nn4 = 3.0\nn5 = 4.0\nn6 = 11.0\nt0 = n4 / n5\nt1 = n1 / 100.0\nt2 = n2 / 100.0\nt3 = n1 + t0\nt4 = n0 * t1\nt5 = t2 - t1\nt6 = t3 / 100.0\nt7 = n0 * t6\nt8 = t7 - t4\nanswer = t8 / t5\nprint(answer)" - ], - "Output Answer": [ - "3749.999999999999" - ], - "split": "train" - }, - { - "Input": "the present population of a town is 300 . population increase rate is 10 % p . a . find the population of town after 1 years ?", - "Output Program": [ - "n0 = 300.0\nn1 = 10.0\nn2 = 1.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "330" - ], - "split": "train" - }, - { - "Input": "a watch was sold at a loss of 10 % . if it was sold for rs . 500 more , there would have been a gain of 10 % . what is the cost price ?", - "Output Program": [ - "n0 = 10.0\nn1 = 500.0\nn2 = 10.0\nt0 = 100.0 + n2\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t0 - t2\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "2500" - ], - "split": "train" - }, - { - "Input": "a book is bought for $ 600 and sold for $ 624 . what is the profit in percentage ?", - "Output Program": [ - "n0 = 600.0\nn1 = 624.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "by selling an article at rs . 800 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 50 % ?", - "Output Program": [ - "n0 = 800.0\nn1 = 25.0\nn2 = 50.0\nt0 = n1 + 100.0\nt1 = n0 * 100.0\nt2 = t1 / t0\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "320" - ], - "split": "train" - }, - { - "Input": "on a certain transatlantic crossing , 40 percent of a ship \u2019 s passengers held round - trip tickets and also took their cars abroad the ship . if 50 percent of the passengers with round - trip tickets did not take their cars abroad the ship , what percent of the ship \u2019 s passengers held round - trip tickets ?", - "Output Program": [ - "n0 = 40.0\nn1 = 50.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "if tim had lunch at $ 60.80 and he gave 20 % tip , how much did he spend ?", - "Output Program": [ - "n0 = 60.8\nn1 = 20.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "72.96" - ], - "split": "train" - }, - { - "Input": "a ladder 18 feet long is leaning against a wall that is perpendicular to level ground . the bottom of the ladder is 6 feet from the base of the wall . if the top of the ladder slips down 4 feet , how many feet will the bottom of the ladder slip ?", - "Output Program": [ - "import math\nn0 = 18.0\nn1 = 6.0\nn2 = 4.0\nt0 = n0**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = t0 - t1\nt3 = math.sqrt(max(0, t2))\nt4 = t3 - n2\nt5 = t4**min(2.0, 5)\nt6 = t0 - t5\nanswer = math.sqrt(max(0, t6))\nprint(answer)" - ], - "Output Answer": [ - "12.480564970698127" - ], - "split": "train" - }, - { - "Input": "in one alloy there is 12 % chromium while in another alloy it is 8 % . 15 kg of the first alloy was melted together with 30 kg of the second one to form a third alloy . find the percentage of chromium in the new alloy .", - "Output Program": [ - "n0 = 12.0\nn1 = 8.0\nn2 = 15.0\nn3 = 30.0\nt0 = n2 + n3\nt1 = n0 * n2\nt2 = n1 * n3\nt3 = t1 / 100.0\nt4 = t2 / 100.0\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "9.333333333333334" - ], - "split": "train" - }, - { - "Input": "on increasing the price of t . v . sets by 30 % , their sale decreases by 20 % . what is the effect on the revenue receipts of the shop ?", - "Output Program": [ - "n0 = 30.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t2 + 100.0\nanswer = t0 - t3\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "mr . john used to purchase certain number of mangoes for $ 360 since the price of mangoes is reduced by 10 % he got 12 more mangoes today . find the original price of 125 mangoes .", - "Output Program": [ - "n0 = 360.0\nn1 = 10.0\nn2 = 12.0\nn3 = 125.0\nt0 = 1.0 / n1\nt1 = 1.0 - t0\nt2 = n0 / t1\nt3 = t2 - n0\nt4 = t3 / n2\nanswer = n3 * t4\nprint(answer)" - ], - "Output Answer": [ - "416.6666666666667" - ], - "split": "train" - }, - { - "Input": "in the first 25 overs of a cricket game , the run rate was only 5.4 . what should be the run rate in the remaining 25 overs to reach the target of 400 runs ?", - "Output Program": [ - "n0 = 25.0\nn1 = 5.4\nn2 = 25.0\nn3 = 400.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "10.6" - ], - "split": "train" - }, - { - "Input": "a , b and c invested rs . 6300 , rs . 4200 and rs . 10500 respectively , in a partnership business . find the share of a in profit of rs . 12100 after a year ?", - "Output Program": [ - "n0 = 6300.0\nn1 = 4200.0\nn2 = 10500.0\nn3 = 12100.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n0 / t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "3630" - ], - "split": "train" - }, - { - "Input": "a man sold 18 toys for rs . 21000 , gaining thereby the cost price of 3 toy find the cost price of a toy", - "Output Program": [ - "n0 = 18.0\nn1 = 21000.0\nn2 = 3.0\nt0 = n0 + n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "train" - }, - { - "Input": "in a school of 700 students , 45 % wear blue shirts , 23 % wear red shirts , 15 % wear green shirts , and the remaining students wear other colors . how many students wear other colors ( not blue , not red , not green ) ?", - "Output Program": [ - "n0 = 700.0\nn1 = 45.0\nn2 = 23.0\nn3 = 15.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = n0 * t0\nt4 = n0 * t1\nt5 = n0 * t2\nt6 = t3 + t4\nt7 = t6 + t5\nanswer = n0 - t7\nprint(answer)" - ], - "Output Answer": [ - "119" - ], - "split": "train" - }, - { - "Input": "a sells a cricket bat to b at a profit of 20 % . b sells it to c at a profit of 25 % . if c pays $ 231 for it , the cost price of the cricket bat for a is :", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nn2 = 231.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "154" - ], - "split": "train" - }, - { - "Input": "john had a stock of 900 books in his bookshop . he sold 75 on monday , 50 on tuesday , 64 on wednesday , 78 on thursday and 135 on friday . what percentage of the books were not sold ?", - "Output Program": [ - "n0 = 900.0\nn1 = 75.0\nn2 = 50.0\nn3 = 64.0\nn4 = 78.0\nn5 = 135.0\nt0 = n1 + n2\nt1 = n3 + n4\nt2 = t0 + t1\nt3 = n5 + t2\nt4 = n0 - t3\nt5 = t4 / n0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "55.333333333333336" - ], - "split": "train" - }, - { - "Input": "in a certain boys camp , 20 % of the total boys are from school a and 30 % of those study science . if there are 49 boys in the camp that are from school a but do not study science then what is the total number of boys in the camp ?", - "Output Program": [ - "n0 = 20.0\nn1 = 30.0\nn2 = 49.0\nt0 = n0 / 100.0\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nt3 = t2 * t0\nanswer = n2 / t3\nprint(answer)" - ], - "Output Answer": [ - "350.00000000000006" - ], - "split": "train" - }, - { - "Input": "how many litres of pure acid are there in 8 litres of a 20 % solution ?", - "Output Program": [ - "n0 = 8.0\nn1 = 20.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "1.6" - ], - "split": "train" - }, - { - "Input": "the profit earned by selling an article for rs . 832 is equal to the loss incurred when the same article is sold for rs . 448 . what should be the sale price for making 50 % profit ?", - "Output Program": [ - "n0 = 832.0\nn1 = 448.0\nn2 = 50.0\nt0 = n2 / 100.0\nt1 = n0 - n1\nt2 = t0 + 1.0\nt3 = t1 / 2.0\nt4 = n0 - t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "960" - ], - "split": "train" - }, - { - "Input": "the number which exceeds 16 % of it by 105 is :", - "Output Program": [ - "n0 = 16.0\nn1 = 105.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "125" - ], - "split": "train" - }, - { - "Input": "in a certificate by mistake a candidate gave his height as 25 % more than actual height . in the interview panel , he clarified that his height was 5 feet 8 nches . find the % correction made by the candidate from his stated height to his actual height ?", - "Output Program": [ - "n0 = 25.0\nn1 = 5.0\nn2 = 8.0\nt0 = 0.25 + 0.25\nt1 = n0 + t0\nt2 = t1 - n1\nt3 = t2 + 100.0\nt4 = t2 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "17.012448132780083" - ], - "split": "train" - }, - { - "Input": "sonika deposited rs . 8000 which amounted to rs . 10200 after 3 years at simple interest . had the interest been 2 % more . she would get how much ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 10200.0\nn2 = 3.0\nn3 = 2.0\nt0 = n3 / 100.0\nt1 = n1 - n0\nt2 = t1 / n2\nt3 = t2 / n0\nt4 = t0 + t3\nt5 = n0 * t4\nt6 = n2 * t5\nanswer = n0 + t6\nprint(answer)" - ], - "Output Answer": [ - "10680" - ], - "split": "train" - }, - { - "Input": "the s . i . on a certain sum of money for 6 years at 16 % per annum is half the c . i . on rs . 8000 for 2 years at 20 % per annum . the sum placed on s . i . is ?", - "Output Program": [ - "n0 = 6.0\nn1 = 16.0\nn2 = 8000.0\nn3 = 2.0\nn4 = 20.0\nt0 = n4 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = n0 * t1\nt4 = t2**min(n3, 5)\nt5 = n2 * t4\nt6 = t5 - n2\nt7 = t6 / n3\nanswer = t7 / t3\nprint(answer)" - ], - "Output Answer": [ - "1833.3333333333335" - ], - "split": "train" - }, - { - "Input": "a trader purchased two colour televisions for a total of rs . 35000 . he sold one colour television at 30 % profit and the other 40 % profit . find the difference in the cost prices of the two televisions if he made an overall profit of 32 % ?", - "Output Program": [ - "n0 = 35000.0\nn1 = 30.0\nn2 = 40.0\nn3 = 32.0\nt0 = n3 + 100.0\nt1 = n1 + 100.0\nt2 = n2 + 100.0\nt3 = t0 / 100.0\nt4 = t1 / 100.0\nt5 = t2 / 100.0\nt6 = n0 * t3\nt7 = n0 * t4\nt8 = t5 - t4\nt9 = t6 - t7\nt10 = t9 / t8\nt11 = n0 - t10\nanswer = t11 - t10\nprint(answer)" - ], - "Output Answer": [ - "20999.999999999985" - ], - "split": "train" - }, - { - "Input": "the true discount on a bill due 9 months hence at 16 % per annum is rs . 150 . the amount of the bill is", - "Output Program": [ - "n0 = 9.0\nn1 = 16.0\nn2 = 150.0\nt0 = 3.0 * 4.0\nt1 = n0 / t0\nt2 = n1 * t1\nt3 = t2 / 100.0\nt4 = n2 / t3\nanswer = n2 + t4\nprint(answer)" - ], - "Output Answer": [ - "1400" - ], - "split": "train" - }, - { - "Input": "power windows : 60 % anti - lock brakes : 25 % cd player : 75 % the table above shows the number of vehicles at bill ' s car dealership that have certain features . no vehicle has all 3 features , but 10 % have power windows and anti - lock brakes , 15 % have anti - lock brakes and a cd player , and 22 % have power windows and a cd player . what percent of the vehicles at bill ' s car dealership have a cd player but no power windows or anti - lock brakes ?", - "Output Program": [ - "n0 = 60.0\nn1 = 25.0\nn2 = 75.0\nn3 = 3.0\nn4 = 10.0\nn5 = 15.0\nn6 = 22.0\nt0 = n2 - n5\nanswer = t0 - n6\nprint(answer)" - ], - "Output Answer": [ - "38" - ], - "split": "train" - }, - { - "Input": "find the principal which yields a simple interest of rs . 20 and compound interest of rs . 22 in two years , at the same percent rate per annum ?", - "Output Program": [ - "n0 = 20.0\nn1 = 22.0\nt0 = n1 - n0\nt1 = t0 * 100.0\nanswer = t1 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "by selling 90 pens , a trader gains the cost of 15 pens . find his gain percentage ?", - "Output Program": [ - "n0 = 90.0\nn1 = 15.0\nt0 = n1 / n0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "16.666666666666664" - ], - "split": "train" - }, - { - "Input": "a shopkeeper sold an article at $ 100 with 30 % profit . then find its cost price ?", - "Output Program": [ - "n0 = 100.0\nn1 = 30.0\nt0 = n1 + n0\nt1 = n0 / t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "76.92307692307693" - ], - "split": "train" - }, - { - "Input": "in an election between two candidates , the first candidate got 80 % of the votes and the second candidate got 480 votes . what was the total number of votes ?", - "Output Program": [ - "n0 = 80.0\nn1 = 480.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "2400" - ], - "split": "train" - }, - { - "Input": "peter invested a certain sum of money in a simple interest bond whose value grew to $ 400 at the end of 4 years and to $ 500 at the end of another 2 years . what was the rate of interest in which he invested his sum ?", - "Output Program": [ - "n0 = 400.0\nn1 = 4.0\nn2 = 500.0\nn3 = 2.0\nt0 = n2 - n0\nt1 = t0 / n3\nt2 = n1 * t1\nt3 = n0 - t2\nt4 = t1 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "population of a city in 20004 was 1400000 . if in 2005 there isan increment of 15 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 % , then find the population of city at the end of the year 2007", - "Output Program": [ - "n0 = 20004.0\nn1 = 1400000.0\nn2 = 2005.0\nn3 = 15.0\nn4 = 2006.0\nn5 = 35.0\nn6 = 2007.0\nn7 = 45.0\nn8 = 2007.0\nt0 = n5 / 100.0\nt1 = n3 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = 1.0 - t0\nt5 = t3 * t4\nt6 = t2 * t5\nanswer = n1 * t6\nprint(answer)" - ], - "Output Answer": [ - "1412775" - ], - "split": "train" - }, - { - "Input": "if 5 % more is gained by selling an article for rs . 350 than by selling it for rs . 340 , the cost of the article is :", - "Output Program": [ - "n0 = 5.0\nn1 = 350.0\nn2 = 340.0\nt0 = n0 / 100.0\nt1 = n1 - n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "train" - }, - { - "Input": "the true discount on a bill of rs . 2460 is rs . 360 . what is the banker ' s discount ?", - "Output Program": [ - "n0 = 2460.0\nn1 = 360.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "421.7142857142857" - ], - "split": "train" - }, - { - "Input": "in a company , 50 percent of the employees are men . if 60 percent of the employees are unionized and 70 percent of these are men , what percent of the non - union employees are women ?", - "Output Program": [ - "n0 = 50.0\nn1 = 60.0\nn2 = 70.0\nt0 = n2 / 100.0\nt1 = 100.0 - n0\nt2 = 100.0 - n1\nt3 = n1 * t0\nt4 = n1 - t3\nt5 = t1 - t4\nt6 = t5 / t2\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "a man walking at a rate of 10 km / hr crosses a bridge in 18 minutes . the length of the bridge is ?", - "Output Program": [ - "n0 = 10.0\nn1 = 18.0\nt0 = n0 * 1000.0\nt1 = t0 / 60.0\nanswer = n1 * t1\nprint(answer)" - ], - "Output Answer": [ - "3000" - ], - "split": "train" - }, - { - "Input": "the profit earned by selling an article for 852 is equal to the loss incurred when the same article is sold for 448 . what should be the sale price of the article for making 50 per cent profit ?", - "Output Program": [ - "n0 = 852.0\nn1 = 448.0\nn2 = 50.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = t1 + 1.0\nt3 = t0 / 2.0\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "975" - ], - "split": "train" - }, - { - "Input": "a student gets 70 % in one subject , 80 % in the other . to get an overall of 75 % how much should get in third subject .", - "Output Program": [ - "n0 = 70.0\nn1 = 80.0\nn2 = 75.0\nt0 = n0 + n1\nt1 = n2 * 3.0\nanswer = t1 - t0\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "train" - }, - { - "Input": "if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs . 2000 less than the principal . what was the principal ?", - "Output Program": [ - "n0 = 4.0\nn1 = 5.0\nn2 = 2000.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "2500" - ], - "split": "train" - }, - { - "Input": "a person buys an article at rs . 500 . at what price should he sell the article so as to make a profit of 30 % ?", - "Output Program": [ - "n0 = 500.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "650" - ], - "split": "train" - }, - { - "Input": "the first flight out of phoenix airport had a late departure . if the next 3 flights departed on - time , how many subsequent flights need to depart from phoenix on - time , for the airport ' s on - time departure rate to be higher than 60 % ? i will see what is the quickest way to solve it then i will provide the explanation", - "Output Program": [ - "n0 = 3.0\nn1 = 60.0\nt0 = n1 / 100.0\nt1 = t0 * 10.0\nt2 = t1 + 1.0\nanswer = t2 - n0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "train" - }, - { - "Input": "at joel \u2019 s bookstore , the current inventory is 40 % historical fiction . of the historical fiction books , 40 % are new releases , while 40 % of the other books are new releases . what fraction of all new releases are the historical fiction new releases ?", - "Output Program": [ - "n0 = 40.0\nn1 = 40.0\nn2 = 40.0\nt0 = n0 * n1\nt1 = 100.0 - n0\nt2 = t0 / 100.0\nt3 = n2 * t1\nt4 = t3 / 100.0\nt5 = t2 + t4\nanswer = t2 / t5\nprint(answer)" - ], - "Output Answer": [ - "0.4" - ], - "split": "train" - }, - { - "Input": "in a class , if 50 % of the boys were girls , then there would be 50 % more girls than boys . what percentage of the overall class is girls ?", - "Output Program": [ - "n0 = 50.0\nn1 = 50.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1 * t0\nt3 = t2 - t0\nt4 = t3 + 1.0\nt5 = t3 / t4\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "a man can row downstream at the rate of 30 kmph and upstream at 10 kmph . find the man \u2019 s rate in still water and rate of current ?", - "Output Program": [ - "n0 = 30.0\nn1 = 10.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "a dishonest dealer professes to sell goods at the cost price but uses a weight of 900 grams per kg , what is his percent ?", - "Output Program": [ - "n0 = 900.0\nt0 = 2.0 + 3.0\nt1 = 100.0 / n0\nt2 = t0 * 2.0\nt3 = t2 * 100.0\nt4 = t1 * t3\nanswer = t4 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "11.1111111111111" - ], - "split": "train" - }, - { - "Input": "an error 19 % in excess is made while measuring the side of a square . now what is the percentage of error in the calculated area of the square ?", - "Output Program": [ - "n0 = 19.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "41.61" - ], - "split": "train" - }, - { - "Input": "in the first 20 overs of a cricket game , the run rate was only 4.2 . what should be the run rate in the remaining 30 overs to reach the target of 324 runs ?", - "Output Program": [ - "n0 = 20.0\nn1 = 4.2\nn2 = 30.0\nn3 = 324.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "train" - }, - { - "Input": "$ 600 will become $ 720 in 4 years find the rate of interest ?", - "Output Program": [ - "n0 = 600.0\nn1 = 720.0\nn2 = 4.0\nt0 = n2 / 100.0\nt1 = n1 - n0\nt2 = n0 * t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "train" - }, - { - "Input": "there were two candidates in an election . winner candidate received 60 % of votes and won the election by 240 votes . find the number of votes casted to the winning candidate ?", - "Output Program": [ - "n0 = 60.0\nn1 = 240.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nt3 = n1 / t2\nt4 = n0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "720" - ], - "split": "train" - }, - { - "Input": "in an election between the two candidates , the candidates who gets 70 % of votes polled is winned by 160 vote \u2019 s majority . what is the total number of votes polled ?", - "Output Program": [ - "n0 = 70.0\nn1 = 160.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nt2 = n0 - t1\nanswer = t0 / t2\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "train" - }, - { - "Input": "a sum of money deposited at c . i . amounts to rs . 2420 in 2 years and to rs . 3267 in 3 years . find the rate percent ?", - "Output Program": [ - "n0 = 2420.0\nn1 = 2.0\nn2 = 3267.0\nn3 = 3.0\nt0 = n2 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "35" - ], - "split": "train" - }, - { - "Input": "if a speaks the truth 70 % of the times , b speaks the truth 60 % of the times . what is the probability that they tell the truth at the same time", - "Output Program": [ - "n0 = 70.0\nn1 = 60.0\nt0 = 4.0 * 5.0\nt1 = t0 * 5.0\nt2 = n0 / t1\nt3 = n1 / t1\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "0.42" - ], - "split": "train" - }, - { - "Input": "rs 3500 is divided into two parts such that one part is put out at 3 % and the other at 5 % . if the annual interest earned from both the investments be rs 144 , find the first part .", - "Output Program": [ - "n0 = 3500.0\nn1 = 3.0\nn2 = 5.0\nn3 = 144.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 * t0\nt3 = t0 - t1\nt4 = t2 - n3\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "1549.9999999999998" - ], - "split": "train" - }, - { - "Input": "in town x , 64 percent of the population are employed , and 48 percent of the population are employed males . what percent of the employed people in town x are females ?", - "Output Program": [ - "n0 = 64.0\nn1 = 48.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "train" - }, - { - "Input": "by selling a book for 260 , 20 % profit was earned . what is the cost price of the book ?", - "Output Program": [ - "n0 = 260.0\nn1 = 20.0\n\nanswer = n0 * 100 / (100 + n1) # original_price_before gain\nprint(answer)" - ], - "Output Answer": [ - "216.66666666666666" - ], - "split": "train" - }, - { - "Input": "solution p is 20 percent lemonade and 80 percent carbonated water by volume ; solution q is 45 percent lemonade and 55 percent carbonated water by volume . if a mixture of pq contains 65 percent carbonated water , what percent of the volume of the mixture is p ?", - "Output Program": [ - "n0 = 20.0\nn1 = 80.0\nn2 = 45.0\nn3 = 55.0\nn4 = 65.0\nt0 = n4 / 100.0\nt1 = n3 / 100.0\nt2 = n1 / 100.0\nt3 = t0 - t1\nt4 = t2 - t0\nt5 = t3 + t4\nt6 = t3 / t5\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "39.99999999999999" - ], - "split": "train" - }, - { - "Input": "shop offered 40 % offer for every shirt , smith bought a shirt at rs . 560 . and what was the shop ' s original selling price ?", - "Output Program": [ - "n0 = 40.0\nn1 = 560.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "933.3333333333334" - ], - "split": "train" - }, - { - "Input": "a candidate got 35 % of the votes polled and he lost to his rival by 2340 votes . how many votes were cast ?", - "Output Program": [ - "n0 = 35.0\nn1 = 2340.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "7799.999999999999" - ], - "split": "train" - }, - { - "Input": "a bowl was filled with 10 ounces of water , and 0.007 ounce of the water evaporated each day during a 50 - day period . what percent of the original amount of water evaporated during this period ?", - "Output Program": [ - "n0 = 10.0\nn1 = 0.007\nn2 = 50.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "3.5000000000000004" - ], - "split": "train" - }, - { - "Input": "a dishonest dealer professes to sell goods at the cost price but uses a weight of 880 grams per kg , what is his percent ?", - "Output Program": [ - "n0 = 880.0\nt0 = 2.0 + 3.0\nt1 = 100.0 / n0\nt2 = t0 * 2.0\nt3 = t2 * 100.0\nt4 = t1 * t3\nanswer = t4 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "13.636363636363626" - ], - "split": "train" - }, - { - "Input": "machine p and machine q are each used to manufacture 330 sprockets . it takes machine p 10 hours longer to produce 330 sprockets than machine q . machine q produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machine a produce ?", - "Output Program": [ - "n0 = 330.0\nn1 = 10.0\nn2 = 330.0\nn3 = 10.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n0 / t1\nt3 = n0 - t2\nanswer = t3 / n1\nprint(answer)" - ], - "Output Answer": [ - "3" - ], - "split": "train" - }, - { - "Input": "how is 1 % expressed as a decimal fraction ?", - "Output Program": [ - "n0 = 1.0\n\nanswer = n0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "0.01" - ], - "split": "train" - }, - { - "Input": "the compound interest on $ 2000 at 10 % per annum is $ 662 . the period ( in years ) is ?", - "Output Program": [ - "n0 = 2000.0\nn1 = 10.0\nn2 = 662.0\n\nanswer = n0 / n2\nprint(answer)" - ], - "Output Answer": [ - "3.0211480362537766" - ], - "split": "train" - }, - { - "Input": "mr . karan borrowed a certain amount at 6 % per annum simple interest for 9 years . after 9 years , he returned rs . 8510 / - . find out the amount that he borrowed .", - "Output Program": [ - "n0 = 6.0\nn1 = 9.0\nn2 = 9.0\nn3 = 8510.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nanswer = n3 / t2\nprint(answer)" - ], - "Output Answer": [ - "5525.974025974026" - ], - "split": "train" - }, - { - "Input": "if the cost price of 81 chocolates is equal to the selling price of 45 chocolates , the gain percent is :", - "Output Program": [ - "n0 = 81.0\nn1 = 45.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = 100.0 / t1\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "train" - }, - { - "Input": "the cost price of an article is 64 % of the marked price . calculate the gain percent after allowing a discount of 18 % ?", - "Output Program": [ - "n0 = 64.0\nn1 = 18.0\nt0 = 100.0 - n1\nt1 = t0 / n0\nt2 = t1 - 1.0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "28.125" - ], - "split": "train" - }, - { - "Input": "john and jane went out for a dinner and they ordered the same dish . both used a 10 % discount coupon . john paid a 15 % tip over the original price of the dish , while jane paid the tip over the discounted price for the coupon . if john paid $ 1.26 more than jane , what was the original price of the dish ?", - "Output Program": [ - "n0 = 10.0\nn1 = 15.0\nn2 = 1.26\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t1\nt3 = t0 * t2\nt4 = t0 - t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "84.00000000000009" - ], - "split": "train" - }, - { - "Input": "mohit sold an article for $ 18000 . had he offered a discount of 10 % on the selling price , he would have earned a profit of 8 % . what is the cost price of the article ?", - "Output Program": [ - "n0 = 18000.0\nn1 = 10.0\nn2 = 8.0\nt0 = n2 + 100.0\nt1 = n0 * n1\nt2 = t1 / 100.0\nt3 = n0 - t2\nt4 = t3 / t0\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "15000" - ], - "split": "train" - }, - { - "Input": "by mixing two brands of coffee and selling the mixture at the rate of $ 177 per kg . a shopkeeper makes a profit of 18 % . if to every 2 kg of one brand costing $ 200 per kg , 3 kg of the other brand is added , then how much per kg does the other brand cost ?", - "Output Program": [ - "n0 = 177.0\nn1 = 18.0\nn2 = 2.0\nn3 = 200.0\nn4 = 3.0\nt0 = n2 + n4\nt1 = n1 / 100.0\nt2 = n2 * n3\nt3 = t1 + 1.0\nt4 = n0 * t0\nt5 = t3 * t2\nt6 = n4 * t3\nt7 = t4 - t5\nanswer = t7 / t6\nprint(answer)" - ], - "Output Answer": [ - "116.66666666666667" - ], - "split": "train" - }, - { - "Input": "at what price must an article costing rs . 47.50 be marked in order that after deducting 10 % from the list price . it may be sold at a profit of 25 % on the cost price ?", - "Output Program": [ - "n0 = 47.5\nn1 = 10.0\nn2 = 25.0\nt0 = n0 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 + t2\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "65.97222222222223" - ], - "split": "train" - }, - { - "Input": "the price of a jacket is reduced by 10 % . during a special sale the price of the jacket is reduced another 30 % . by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount ?", - "Output Program": [ - "n0 = 10.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t1 - t2\nt4 = 100.0 - t3\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "58.730158730158735" - ], - "split": "train" - }, - { - "Input": "a 18 % stock yielding 12 % is quoted at :", - "Output Program": [ - "n0 = 18.0\nn1 = 12.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "train" - }, - { - "Input": "if the cost price of 35 chocolates is equal to the selling price of 21 chocolates , the gain percent is :", - "Output Program": [ - "n0 = 35.0\nn1 = 21.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = 100.0 / t1\nprint(answer)" - ], - "Output Answer": [ - "66.66666666666667" - ], - "split": "train" - }, - { - "Input": "the cost price of an article is 64 % of the marked price . calculate the gain percent after allowing a discount of 25 % ?", - "Output Program": [ - "n0 = 64.0\nn1 = 25.0\nt0 = 100.0 - n1\nt1 = t0 / n0\nt2 = t1 - 1.0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "17.1875" - ], - "split": "train" - }, - { - "Input": "a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 70 percent of books that were loaned out are returned and there are 57 books in the special collection at that time , how many books of the special collection were loaned out during that month ?", - "Output Program": [ - "n0 = 75.0\nn1 = 70.0\nn2 = 57.0\nt0 = n1 / 100.0\nt1 = n0 - n2\nt2 = 1.0 - t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "59.99999999999999" - ], - "split": "train" - }, - { - "Input": "a shopkeeper loses 15 % , if an article is sold for rs . 136 . what should be the selling price of the article to gain 20 % ?", - "Output Program": [ - "n0 = 15.0\nn1 = 136.0\nn2 = 20.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = 1.0 - t0\nt3 = n1 / t2\nt4 = t3 * t1\nanswer = t3 + t4\nprint(answer)" - ], - "Output Answer": [ - "192" - ], - "split": "train" - }, - { - "Input": "4 weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 14 weavers in 14 days ?", - "Output Program": [ - "n0 = 4.0\nn1 = 4.0\nn2 = 4.0\nn3 = 14.0\nn4 = 14.0\nt0 = n0 * n0\nt1 = n0 / t0\nt2 = n3 * t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "49" - ], - "split": "train" - }, - { - "Input": "if 3 eighth of a number is 141 . what will be the approximately value of 32.08 % of this number ?", - "Output Program": [ - "n0 = 3.0\nn1 = 141.0\nn2 = 32.08\nt0 = 4.0 + 4.0\nt1 = n1 * t0\nt2 = t1 / n0\nt3 = n2 * t2\nanswer = t3 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "120.6208" - ], - "split": "train" - }, - { - "Input": "a person buys an article at rs . 500 . at what price should he sell the article so as to make a profit of 40 % ?", - "Output Program": [ - "n0 = 500.0\nn1 = 40.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "700" - ], - "split": "train" - }, - { - "Input": "in a public show 45 % of the seats were filled . if there were 600 seats in the hall , how many seats were vacant ?", - "Output Program": [ - "n0 = 45.0\nn1 = 600.0\nt0 = 100.0 - n0\nt1 = n1 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "330" - ], - "split": "train" - }, - { - "Input": "mike needs 30 % to pass . if he scored 212 marks and falls short by 28 marks , what was the maximum marks he could have got ?", - "Output Program": [ - "n0 = 30.0\nn1 = 212.0\nn2 = 28.0\nt0 = n1 + n2\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "train" - }, - { - "Input": "the amount of principal rs . 8000 at compound interest at the ratio of 5 % p . a . for 1 year is", - "Output Program": [ - "n0 = 8000.0\nn1 = 5.0\nn2 = 1.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "8400" - ], - "split": "train" - }, - { - "Input": "sahil purchased a machine at rs 12000 , then got it repaired at rs 5000 , then gave its transportation charges rs 1000 . then he sold it with 50 % of profit . at what price he actually sold it .", - "Output Program": [ - "n0 = 12000.0\nn1 = 5000.0\nn2 = 1000.0\nn3 = 50.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = t1 / 100.0\nt3 = n3 * t2\nanswer = t1 + t3\nprint(answer)" - ], - "Output Answer": [ - "27000" - ], - "split": "train" - }, - { - "Input": "the effective annual rate of interest corresponding to a nominal rate of 12 % per annum payable half - yearly is ?", - "Output Program": [ - "n0 = 12.0\nt0 = n0 / 2.0\nt1 = t0 + t0\nt2 = t0 * t0\nt3 = t2 / 100.0\nanswer = t1 + t3\nprint(answer)" - ], - "Output Answer": [ - "12.36" - ], - "split": "train" - }, - { - "Input": "an association of mathematics teachers has 1600 members . only 525 of these members cast votes in the election for president of the association . what percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast ?", - "Output Program": [ - "n0 = 1600.0\nn1 = 525.0\nn2 = 60.0\nt0 = n2 / 100.0\nt1 = 4.0**min(2.0, 5)\nt2 = n1 * t0\nt3 = t1 * 100.0\nt4 = t2 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "19.6875" - ], - "split": "train" - }, - { - "Input": "a dealer purchases 15 articles for rs . 25 and sells 12 articles for rs . 38 . find the profit percentage ?", - "Output Program": [ - "n0 = 15.0\nn1 = 25.0\nn2 = 12.0\nn3 = 38.0\nt0 = 1.0 + 4.0\nt1 = n1 * 4.0\nt2 = n3 * t0\nanswer = t2 - t1\nprint(answer)" - ], - "Output Answer": [ - "90" - ], - "split": "train" - }, - { - "Input": "redo \u2019 s manufacturing costs for sets of horseshoes include a $ 10000 initial outlay , and $ 20 per set . they can sell the sets $ 50 . if profit is revenue from sales minus manufacturing costs , and the company producessells 500 sets of horseshoes , what was their profit ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 20.0\nn2 = 50.0\nn3 = 500.0\nt0 = n1 * 2.0\nt1 = n2 - t0\nanswer = n3 * t1\nprint(answer)" - ], - "Output Answer": [ - "5000" - ], - "split": "train" - }, - { - "Input": "in a partnership , a invests 1 \u2044 6 of the capital for 1 \u2044 6 of the time , b invests 1 \u2044 3 of the capital for 1 \u2044 3 of the time and c , the rest of the capital for whole time . find a \u2019 s share of the total profit of 2300", - "Output Program": [ - "n0 = 1.0\nn1 = 6.0\nn2 = 1.0\nn3 = 6.0\nn4 = 1.0\nn5 = 3.0\nn6 = 1.0\nn7 = 3.0\nn8 = 2300.0\nt0 = 1.0 + 4.0\nt1 = n1 * n5\nt2 = t0 + t1\nt3 = 1 / t2\nanswer = n8 * t3\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "a sum of money invested at compound interest to rs . 800 in 3 years and to rs 820 in 4 years . the rate on interest per annum is .", - "Output Program": [ - "n0 = 800.0\nn1 = 3.0\nn2 = 820.0\nn3 = 4.0\nt0 = n2 - n0\nt1 = t0 * 100.0\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "2.5" - ], - "split": "train" - }, - { - "Input": "find compound interest on rs . 7500 at 4 % per annum for 2 years , compounded annually", - "Output Program": [ - "n0 = 7500.0\nn1 = 4.0\nn2 = 2.0\nt0 = n0 * 4.0\nt1 = t0 / 100.0\nt2 = n0 + t1\nt3 = n1 * t2\nt4 = t3 / 100.0\nt5 = t2 + t4\nanswer = t5 - n0\nprint(answer)" - ], - "Output Answer": [ - "612" - ], - "split": "train" - }, - { - "Input": "arun purchased 30 kg of wheat at the rate of rs . 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg . he mixed the two and sold the mixture . approximately what price per kg should be sell the mixture to make 30 % profit ?", - "Output Program": [ - "n0 = 30.0\nn1 = 11.5\nn2 = 20.0\nn3 = 14.25\nn4 = 30.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n3\nt3 = t1 + t2\nt4 = t3 / 100.0\nt5 = n4 * t4\nt6 = t3 + t5\nanswer = t6 / t0\nprint(answer)" - ], - "Output Answer": [ - "16.38" - ], - "split": "train" - }, - { - "Input": "what was the principal , if at 5 % per annum the interest after 10 years amounted to rs . 3100 less than the sum lent ?", - "Output Program": [ - "n0 = 5.0\nn1 = 10.0\nn2 = 3100.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "6200" - ], - "split": "train" - }, - { - "Input": "the list price of an article is rs . 68 . a customer pays rs . 56.16 for it . he was given two successive discounts , one of them being 10 % . the other discount is ?", - "Output Program": [ - "n0 = 68.0\nn1 = 56.16\nn2 = 10.0\nt0 = n2 / 100.0\nt1 = n0 * t0\nt2 = n0 - t1\nt3 = t2 - n1\nt4 = t3 / t2\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "8.235294117647069" - ], - "split": "train" - }, - { - "Input": "a scuba diver descends at a rate of 35 feet per minute . a diver dive from a ship to search for a lost ship at the depth of 3500 feet below the sea level . . how long will he take to reach the ship ?", - "Output Program": [ - "n0 = 35.0\nn1 = 3500.0\n\nanswer = n1 / n0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "at what rate percent on simple interest will rs . 900 amount to rs . 950 in 5 years ?", - "Output Program": [ - "n0 = 900.0\nn1 = 950.0\nn2 = 5.0\nt0 = n1 - n0\nt1 = t0 / n0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "1.111111111111111" - ], - "split": "train" - }, - { - "Input": "a bag marked at $ 150 is sold for $ 120 . the rate of discount is ?", - "Output Program": [ - "n0 = 150.0\nn1 = 120.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "jaclyn buys $ 10 000 worth of debentures in a company . she earns 9.5 % p . a . simple interest , paid to her quarterly ( that is , every 3 months ) . if the agreed period of the debenture was 18 months : calculate the amount of interest jaclyn will earn for each quarter", - "Output Program": [ - "n0 = 10.0\nn1 = 0.0\nn2 = 9.5\nn3 = 3.0\nn4 = 18.0\nt0 = 100.0 * 100.0\nt1 = n2 * t0\nt2 = t1 / 100.0\nanswer = t2 / 4.0\nprint(answer)" - ], - "Output Answer": [ - "237.5" - ], - "split": "train" - }, - { - "Input": "if 10 litres of an oil of rs . 40 per litres be mixed with 5 litres of another oil of rs . 66 per litre then what is the rate of mixed oil per litre ?", - "Output Program": [ - "n0 = 10.0\nn1 = 40.0\nn2 = 5.0\nn3 = 66.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n3\nt3 = t1 + t2\nanswer = t3 / t0\nprint(answer)" - ], - "Output Answer": [ - "48.666666666666664" - ], - "split": "train" - }, - { - "Input": "a small college reduced its faculty by approximately 13 percent to 195 professors . what was the original number of faculty members ?", - "Output Program": [ - "n0 = 13.0\nn1 = 195.0\nt0 = 100.0 - n0\nt1 = t0 / 100.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "224.13793103448276" - ], - "split": "train" - }, - { - "Input": "the present worth of a sum due sometime hence is rs . 576 and the banker \u2019 s gain is rs . 16 . the true discount is", - "Output Program": [ - "import math\nn0 = 576.0\nn1 = 16.0\nt0 = n0 * n1\nanswer = math.sqrt(max(0, t0))\nprint(answer)" - ], - "Output Answer": [ - "96" - ], - "split": "train" - }, - { - "Input": "in the fifth grade at parkway elementary school there are 470 students . 300 students are boys and 250 students are playing soccer . 86 % of the students that play soccer are boys . how many girl student are in parkway that is not playing soccer ?", - "Output Program": [ - "n0 = 470.0\nn1 = 300.0\nn2 = 250.0\nn3 = 86.0\nt0 = n2 * n3\nt1 = n0 - n1\nt2 = t0 / 100.0\nt3 = n2 - t2\nanswer = t1 - t3\nprint(answer)" - ], - "Output Answer": [ - "135" - ], - "split": "train" - }, - { - "Input": "jolene entered an 18 - month investment contract that guarantees to pay 2 percent interest at the end of 6 months , another 3 percent interest at the end of 10 months , and 4 percent interest at the end of the 18 month contract . if each interest payment is reinvested in the contract , and jolene invested $ 10,000 initially , what will be the total amount of interest paid during the 18 - month contract ?", - "Output Program": [ - "n0 = 18.0\nn1 = 2.0\nn2 = 6.0\nn3 = 3.0\nn4 = 10.0\nn5 = 4.0\nn6 = 18.0\nn7 = 10000.0\nn8 = 18.0\nt0 = n1 / 100.0\nt1 = n3 / 100.0\nt2 = n5 / 100.0\nt3 = 100.0**min(2.0, 5)\nt4 = t0 * t3\nt5 = t4 + t3\nt6 = t5 * t1\nt7 = t5 + t6\nt8 = t7 * t2\nanswer = t8 + t6\nprint(answer)" - ], - "Output Answer": [ - "726.24" - ], - "split": "train" - }, - { - "Input": "walking 4 / 3 of his usual rate , a boy reaches his school 4 min early . find his usual time to reach the school ?", - "Output Program": [ - "n0 = 4.0\nn1 = 3.0\nn2 = 4.0\n\nanswer = n0 * n2\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "train" - }, - { - "Input": "if the cost price of 50 articles is equal to the selling price of 35 articles , then the gain or loss percent is ?", - "Output Program": [ - "n0 = 50.0\nn1 = 35.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = 100.0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "42.857142857142854" - ], - "split": "train" - }, - { - "Input": "if a sum of money doubles itself in 5 years at simple interest , the ratepercent per annum is", - "Output Program": [ - "n0 = 5.0\nt0 = n0 / 100.0\nt1 = 2.0 / t0\nanswer = t1 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "of 800 surveyed students , 20 % of those who read book a also read book b and 25 % of those who read book b also read book a . if each student read at least one of the books , what is the difference between the number of students who read only book a and the number of students who read only book b ?", - "Output Program": [ - "n0 = 800.0\nn1 = 20.0\nn2 = 25.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = t0 / t1\nt3 = 1.0 - t1\nt4 = 1.0 - t0\nt5 = t2 + 1.0\nt6 = t5 - t0\nt7 = n0 / t6\nt8 = t7 * t2\nt9 = t7 * t4\nt10 = t8 * t3\nanswer = t10 - t9\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "train" - }, - { - "Input": "a man sells a car to his friend at 15 % loss . if the friend sells it for rs . 54000 and gains 20 % , the original c . p . of the car was :", - "Output Program": [ - "n0 = 15.0\nn1 = 54000.0\nn2 = 20.0\nt0 = n2 + 100.0\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t1 / t0\nt4 = t3 * 100.0\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "52941.17647058824" - ], - "split": "train" - }, - { - "Input": "the mean daily profit made by a shopkeeper in a month of 30 days was rs . 350 . if the mean profit for the first fifteen days was rs . 225 , then the mean profit for the last 15 days would be", - "Output Program": [ - "n0 = 30.0\nn1 = 350.0\nn2 = 225.0\nn3 = 15.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 - t1\nanswer = t2 / n3\nprint(answer)" - ], - "Output Answer": [ - "475" - ], - "split": "train" - }, - { - "Input": "in an office in singapore there are 60 % female employees . 50 % of all the male employees are computer literate . if there are total 62 % employees computer literate out of total 1100 employees , then the no . of female employees who are computer literate ?", - "Output Program": [ - "n0 = 60.0\nn1 = 50.0\nn2 = 62.0\nn3 = 1100.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 / 100.0\nt3 = 1.0 - t2\nt4 = t1 * t3\nt5 = t0 - t4\nanswer = n3 * t5\nprint(answer)" - ], - "Output Answer": [ - "462" - ], - "split": "train" - }, - { - "Input": "at a certain university , 69 % of the professors are women , and 70 % of the professors are tenured . if 90 % of the professors are women , tenured , or both , then what percent of the men are tenured ?", - "Output Program": [ - "n0 = 69.0\nn1 = 70.0\nn2 = 90.0\nt0 = 100.0 - n0\nt1 = n2 - n0\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "52" - ], - "split": "train" - }, - { - "Input": "an error 5 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is :", - "Output Program": [ - "n0 = 5.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "10.25" - ], - "split": "train" - }, - { - "Input": "what is the compound interest paid on a sum of rs . 6000 for the period of 2 years at 10 % per annum .", - "Output Program": [ - "n0 = 6000.0\nn1 = 2.0\nn2 = 10.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nt3 = n0 * t2\nanswer = t3 - n0\nprint(answer)" - ], - "Output Answer": [ - "1260.000000000001" - ], - "split": "train" - }, - { - "Input": "in a certain company , a third of the workers do not have a retirement plan . 60 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 120 of the workers of that company are men , how many of the workers are women ?", - "Output Program": [ - "n0 = 60.0\nn1 = 40.0\nn2 = 120.0\nt0 = 1.0 / 3.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 * t1\nt4 = 1.0 - t0\nt5 = t2 * t4\nt6 = t0 - t3\nt7 = t5 + t6\nt8 = t4 - t5\nt9 = t3 + t8\nt10 = n2 / t7\nanswer = t9 * t10\nprint(answer)" - ], - "Output Answer": [ - "180" - ], - "split": "train" - }, - { - "Input": "on a sum of money , the s . i . for 2 years is $ 600 , while the c . i . is $ 630 , the rate of interest being the same in both the cases . the rate of interest is ?", - "Output Program": [ - "n0 = 2.0\nn1 = 600.0\nn2 = 630.0\nt0 = n1 / n0\nt1 = n2 - n1\nt2 = t1 * 100.0\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "a towel , when bleached , lost 20 % of its length and 10 % of its breadth . what is the percentage decrease in area ?", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nt0 = 100.0 * 100.0\nt1 = 100.0 - n0\nt2 = 100.0 - n1\nt3 = t1 * t2\nt4 = t0 - t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "28" - ], - "split": "train" - }, - { - "Input": "a person lent a certain sum of money at 4 % per annum at simple interest and in 8 years the interest amounted to rs . 272 less than the sum lent . what was the sum lent ?", - "Output Program": [ - "n0 = 4.0\nn1 = 8.0\nn2 = 272.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "400.00000000000006" - ], - "split": "train" - }, - { - "Input": "a man buys an article for $ 100 . and sells it for $ 110 . find the gain percent ?", - "Output Program": [ - "n0 = 100.0\nn1 = 110.0\nt0 = n0 / 100.0\nt1 = n1 / t0\nanswer = t1 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "train" - }, - { - "Input": "john makes $ 60 a week from his job . he earns a raise andnow makes $ 72 a week . what is the % increase ?", - "Output Program": [ - "n0 = 60.0\nn1 = 72.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "find number which is 50 % less than 60 .", - "Output Program": [ - "n0 = 50.0\nn1 = 60.0\nt0 = n0 * n1\nanswer = t0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "train" - }, - { - "Input": "in the recent , climate conference in new york , out of 500 men , 300 women , 500 children present inside the building premises , 10 % of the men , 60 % of the women and 70 % of the children were indians . find the percentage of people who were not indian ?", - "Output Program": [ - "n0 = 500.0\nn1 = 300.0\nn2 = 500.0\nn3 = 10.0\nn4 = 60.0\nn5 = 70.0\nt0 = n0 + n1\nt1 = n3 / 100.0\nt2 = n4 / 100.0\nt3 = n5 / 100.0\nt4 = n2 + t0\nt5 = 1.0 - t1\nt6 = 1.0 - t2\nt7 = 1.0 - t3\nt8 = n0 * t5\nt9 = n1 * t6\nt10 = n2 * t7\nt11 = t8 + t9\nt12 = t11 + t10\nt13 = t12 / t4\nanswer = t13 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "55.38461538461539" - ], - "split": "train" - }, - { - "Input": "the price of a book is increased from $ 300 to $ 420 . what is the % of increase in its price ?", - "Output Program": [ - "n0 = 300.0\nn1 = 420.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "train" - }, - { - "Input": "an empty fuel tank with a capacity of 212 gallons was filled partially with fuel a and then to capacity with fuel b . fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume . if the full fuel tank contains 30 gallons of ethanol , how many gallons of fuel a were added ?", - "Output Program": [ - "n0 = 212.0\nn1 = 12.0\nn2 = 16.0\nn3 = 30.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 * t0\nt3 = t0 - t1\nt4 = t2 - n3\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "98.00000000000003" - ], - "split": "train" - }, - { - "Input": "ramesh purchased a refrigerator for rs . 14500 after getting a discount of 20 % on the labelled price . he spent rs . 125 on transport and rs . 250 on installation . at what price should it be sold so that the profit earned would be 10 % if no discount was offered ?", - "Output Program": [ - "n0 = 14500.0\nn1 = 20.0\nn2 = 125.0\nn3 = 250.0\nn4 = 10.0\nt0 = n4 + 100.0\nt1 = n2 + n3\nt2 = n0 * 100.0\nt3 = 100.0 - n1\nt4 = t2 / t3\nt5 = t1 + t4\nt6 = t0 * t5\nanswer = t6 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "20350" - ], - "split": "train" - }, - { - "Input": "by selling an article at rs . 700 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 25 % ?", - "Output Program": [ - "n0 = 700.0\nn1 = 25.0\nn2 = 25.0\nt0 = n1 + 100.0\nt1 = n0 * 100.0\nt2 = t1 / t0\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "420" - ], - "split": "train" - }, - { - "Input": "if the given two numbers are respectively 5 % and 25 % of a third number , then what percentage is the first of the second ?", - "Output Program": [ - "n0 = 5.0\nn1 = 25.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "train" - }, - { - "Input": "in a sample of 800 high school students in which all students are either freshmen , sophomores , juniors , or seniors , 27 percent are juniors and 75 percent are not sophomores . if there are 160 seniors , how many more freshmen than sophomores are there among the sample of students ?", - "Output Program": [ - "n0 = 800.0\nn1 = 27.0\nn2 = 75.0\nn3 = 160.0\nt0 = n3 / n0\nt1 = 100.0 - n2\nt2 = t0 * 100.0\nt3 = n0 * t1\nt4 = t3 / 100.0\nt5 = 100.0 - t2\nt6 = t5 - n1\nt7 = t6 - t1\nt8 = n0 * t7\nt9 = t8 / 100.0\nanswer = t9 - t4\nprint(answer)" - ], - "Output Answer": [ - "24" - ], - "split": "train" - }, - { - "Input": "the population of a town increases 22 % and 25 % respectively in two consecutive years . after the growth the present population of the town is 1220 . then what is the population of the town 2 years ago ?", - "Output Program": [ - "n0 = 22.0\nn1 = 25.0\nn2 = 1220.0\nn3 = 2.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "train" - }, - { - "Input": "a candidate got 35 % of the votes and lost to the rival by 1350 votes . how many votes were cast ?", - "Output Program": [ - "n0 = 35.0\nn1 = 1350.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "4499.999999999999" - ], - "split": "train" - }, - { - "Input": "a fruit seller had some apples . he sells 40 % and still has 420 apples . originally , he had ?", - "Output Program": [ - "n0 = 40.0\nn1 = 420.0\n\nanswer = n1 * 100 / (100 + 1e-5 - n0) # original price before loss\nprint(answer)" - ], - "Output Answer": [ - "699.9998833333527" - ], - "split": "train" - }, - { - "Input": "if a sum of money doubles itself in 15 years at simple interest , the ratepercent per annum is", - "Output Program": [ - "n0 = 15.0\nt0 = n0 / 100.0\nt1 = 2.0 / t0\nanswer = t1 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "6.666666666666667" - ], - "split": "train" - }, - { - "Input": "in a school of 650 boys , 44 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?", - "Output Program": [ - "n0 = 650.0\nn1 = 44.0\nn2 = 28.0\nn3 = 10.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = 100.0 - t1\nt3 = n0 * t2\nanswer = t3 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "117" - ], - "split": "dev" - }, - { - "Input": "at what rate of compound interest per annum will a sum of rs . 1200 become rs . 1348.32 in 2 years ?", - "Output Program": [ - "import math\nn0 = 1200.0\nn1 = 1348.32\nn2 = 2.0\nt0 = n0 / 100.0\nt1 = n1 * 100.0\nt2 = n0 * 100.0\nt3 = t1 / t0\nt4 = t2 / t0\nt5 = math.sqrt(max(0, t3))\nt6 = math.sqrt(max(0, t4))\nanswer = t5 - t6\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "dev" - }, - { - "Input": "in the first 10 overs of a cricket game , the run rate was only 6.2 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?", - "Output Program": [ - "n0 = 10.0\nn1 = 6.2\nn2 = 40.0\nn3 = 282.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "5.5" - ], - "split": "dev" - }, - { - "Input": "an error 10 % in excess is made while measuring the side of a square . now what is the percentage of error in the calculated area of the square ?", - "Output Program": [ - "n0 = 10.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "21" - ], - "split": "dev" - }, - { - "Input": "in a certain pond , 50 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 5 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?", - "Output Program": [ - "n0 = 50.0\nn1 = 50.0\nn2 = 5.0\nt0 = n2 / n1\nanswer = n0 / t0\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "dev" - }, - { - "Input": "a distributor sells a product through an online store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 18 per item . what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item ?", - "Output Program": [ - "n0 = 20.0\nn1 = 18.0\nn2 = 20.0\nt0 = n0 / 100.0\nt1 = 100.0 - n0\nt2 = t1 / 100.0\nt3 = n1 * t0\nt4 = n1 + t3\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "27" - ], - "split": "dev" - }, - { - "Input": "a worker is paid a regular rate of rs . 10 for completing a survey . the worker completes 50 surveys per week . for any survey involving the use of her cellphone , she is paid at a rate of that is 30 % higher than her regular rate . if she completed 35 surveys involving the use of her cellphone , how much did she get that week ?", - "Output Program": [ - "n0 = 10.0\nn1 = 50.0\nn2 = 30.0\nn3 = 35.0\nt0 = n2 / 100.0\nt1 = n0 * n1\nt2 = n0 * t0\nt3 = n3 * t2\nanswer = t1 + t3\nprint(answer)" - ], - "Output Answer": [ - "605" - ], - "split": "dev" - }, - { - "Input": "at what price must an article costing rs . 47.50 be marked in order that after deducting 7 % from the list price . it may be sold at a profit of 25 % on the cost price ?", - "Output Program": [ - "n0 = 47.5\nn1 = 7.0\nn2 = 25.0\nt0 = n0 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 + t2\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "63.844086021505376" - ], - "split": "dev" - }, - { - "Input": "a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 80 percent of books that were loaned out are returned and there are 69 books in the special collection at that time , how many books of the special collection were loaned out during that month ?", - "Output Program": [ - "n0 = 75.0\nn1 = 80.0\nn2 = 69.0\nt0 = n1 / 100.0\nt1 = n0 - n2\nt2 = 1.0 - t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "30.000000000000007" - ], - "split": "dev" - }, - { - "Input": "a shopkeeper sells 500 metres of cloth for rs . 18000 at a loss of rs . 5 per metre . find his cost price for one metre of cloth ?", - "Output Program": [ - "n0 = 500.0\nn1 = 18000.0\nn2 = 5.0\nt0 = n1 / n0\nanswer = n2 + t0\nprint(answer)" - ], - "Output Answer": [ - "41" - ], - "split": "dev" - }, - { - "Input": "okeydokey paid 5 apples at the apple investment booth for an unopened box of earthworms . artichokey paid 7 apples towards the same lot . the booth pays off earthworms proportional to the apples invested . the box turned out to contain 60 earthworms . how many of them should okeydokey receive ?", - "Output Program": [ - "n0 = 5.0\nn1 = 7.0\nn2 = 60.0\nt0 = n0 + n1\nt1 = n0 * n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "dev" - }, - { - "Input": "a glass was filled with 10 ounces of water , and 0.01 ounce of the water evaporated each day during a 20 - day period . what percent of the original amount of water evaporated during this period ?", - "Output Program": [ - "n0 = 10.0\nn1 = 0.01\nn2 = 20.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2" - ], - "split": "dev" - }, - { - "Input": "there are 200 employees in a room . 99 % are managers . how many managers must leave the room to bring down the percentage of managers to 98 % ?", - "Output Program": [ - "n0 = 200.0\nn1 = 99.0\nn2 = 98.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n0 * t0\nt3 = n0 * t1\nt4 = 1.0 - t1\nt5 = t2 - t3\nanswer = t5 / t4\nprint(answer)" - ], - "Output Answer": [ - "99.99999999999991" - ], - "split": "dev" - }, - { - "Input": "a light has a rating of 80 watts , it is replaced with a new light that has 25 % higher wattage . how many watts does the new light have ?", - "Output Program": [ - "n0 = 80.0\nn1 = 25.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "dev" - }, - { - "Input": "solution y is 30 percent liquid x and 70 percent water . if 2 kilograms of water evaporate from 6 kilograms of solution y and 2 kilograms of solution y are added to the remaining 4 kilograms of liquid , what percent of this new solution is liquid x ?", - "Output Program": [ - "n0 = 30.0\nn1 = 70.0\nn2 = 2.0\nn3 = 6.0\nn4 = 2.0\nn5 = 4.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = n3 * t0\nt3 = n2 * t0\nt4 = n2 * t1\nt5 = n3 * t1\nt6 = t2 + t3\nt7 = t5 - n2\nt8 = t4 + t7\nt9 = t6 + t8\nt10 = t6 / t9\nanswer = t10 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "dev" - }, - { - "Input": "in the first 10 overs of a cricket game , the run rate was only 3.8 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?", - "Output Program": [ - "n0 = 10.0\nn1 = 3.8\nn2 = 40.0\nn3 = 282.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "6.1" - ], - "split": "dev" - }, - { - "Input": "a person buys an article at rs . 480 . at what price should he sell the article so as to make a profit of 24 % ?", - "Output Program": [ - "n0 = 480.0\nn1 = 24.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "595.2" - ], - "split": "dev" - }, - { - "Input": "a man walking at a rate of 10 km / hr crosses a bridge in 24 minutes . the length of the bridge is ?", - "Output Program": [ - "n0 = 10.0\nn1 = 24.0\nt0 = n0 * 1000.0\nt1 = t0 / 60.0\nanswer = n1 * t1\nprint(answer)" - ], - "Output Answer": [ - "4000" - ], - "split": "dev" - }, - { - "Input": "a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $ 200 . if a store employee applied the 10 percent employee discount to the retail price to buy the recorder , how much did the employee pay for the recorder ?", - "Output Program": [ - "n0 = 20.0\nn1 = 200.0\nn2 = 10.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n1 + t1\nt3 = t2 / 100.0\nt4 = n2 * t3\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "216" - ], - "split": "dev" - }, - { - "Input": "the profit obtained by selling an article for rs . 56 is the same as the loss obtained by selling it for rs . 42 . what is the cost price of the article ?", - "Output Program": [ - "n0 = 56.0\nn1 = 42.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "49" - ], - "split": "dev" - }, - { - "Input": "an 80 - liter solution of cool - drink is made from 10 % jasmine water . if 5 liters of jasmine and 15 liters of water were added to the solution , what percent of the solution is jasmine ?", - "Output Program": [ - "n0 = 80.0\nn1 = 10.0\nn2 = 5.0\nn3 = 15.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n2 + t1\nt3 = t2 / 100.0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "13" - ], - "split": "dev" - }, - { - "Input": "an error 3 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is", - "Output Program": [ - "n0 = 3.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "6.09" - ], - "split": "dev" - }, - { - "Input": "martin bought 10 concert tickets , some at the full price of $ 2.00 per ticket , and some at a discounted price of $ 1.60 per ticket . if he spent a total of $ 18.40 , how many discounted tickets did he buy ?", - "Output Program": [ - "n0 = 10.0\nn1 = 2.0\nn2 = 1.6\nn3 = 18.4\nt0 = n0 * n1\nt1 = n0 * n2\nanswer = t0 - t1\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "dev" - }, - { - "Input": "how is 3 % expressed as a decimal fraction ?", - "Output Program": [ - "n0 = 3.0\n\nanswer = n0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "0.03" - ], - "split": "dev" - }, - { - "Input": "a producer of tea blends two varieties of tea from two tea gardens one costing rs 18 per kg and another rs 20 per kg in the ratio 5 : 3 . if he sells the blended variety at rs 21 per kg , then his gain percent is", - "Output Program": [ - "n0 = 18.0\nn1 = 20.0\nn2 = 5.0\nn3 = 3.0\nn4 = 21.0\nt0 = n2 + n3\nt1 = n0 * n2\nt2 = n1 * n3\nt3 = t1 + t2\nt4 = n4 * t0\nt5 = t4 - t3\nt6 = t5 * 100.0\nanswer = t6 / t3\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "dev" - }, - { - "Input": "a group of boy scouts and girls scouts is going on a rafting trip . 60 % of the scouts arrived with signed permission slips . if 45 % of the scouts were boy scouts and 50 % of the boy scouts arrived with signed permission slips , then what percentage of the girl scouts arrived with signed permission slips ? round to the nearest percent .", - "Output Program": [ - "n0 = 60.0\nn1 = 45.0\nn2 = 50.0\nt0 = n1 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 - t2\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "68.18181818181817" - ], - "split": "dev" - }, - { - "Input": "20 is subtracted from 80 % of a number , the result is 60 . find the number ?", - "Output Program": [ - "n0 = 20.0\nn1 = 80.0\nn2 = 60.0\nt0 = n0 + n2\nt1 = n1 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "dev" - }, - { - "Input": "a man sells a car to his friend at 10 % loss . if the friend sells it for rs . 54000 and gains 20 % , the original c . p . of the car was :", - "Output Program": [ - "n0 = 10.0\nn1 = 54000.0\nn2 = 20.0\nt0 = n2 + 100.0\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t1 / t0\nt4 = t3 * 100.0\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "50000" - ], - "split": "dev" - }, - { - "Input": "the profits of qrs company rose 20 % from march to april , then dropped 20 % from april to may , then rose 50 % from may to june . what was the percent increase for the whole quarter , from march to june ?", - "Output Program": [ - "n0 = 20.0\nn1 = 20.0\nn2 = 50.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 + 1.0\nt4 = t1 + 1.0\nt5 = 1.0 - t2\nt6 = t4 * t5\nt7 = t3 * t6\nt8 = t7 - 1.0\nanswer = t8 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "43.99999999999999" - ], - "split": "dev" - }, - { - "Input": "if a sum of money doubles itself in 10 years at simple interest , the ratepercent per annum is", - "Output Program": [ - "n0 = 10.0\nt0 = n0 / 100.0\nt1 = 2.0 / t0\nanswer = t1 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "dev" - }, - { - "Input": "the population of a town is 8000 . it decreases annually at the rate of 30 % p . a . what will be its population after 2 years ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 30.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n0 - t1\nt3 = t0 * t2\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "3920" - ], - "split": "dev" - }, - { - "Input": "in order to obtain an income of rs . 1000 from 50 % stock at rs . 500 , one must make an investment of", - "Output Program": [ - "n0 = 1000.0\nn1 = 50.0\nn2 = 500.0\nt0 = n2 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "10000" - ], - "split": "dev" - }, - { - "Input": "in town x , 64 percent of the population are employed , and 46 percent of the population are employed males . what percent of the employed people in town x are females ?", - "Output Program": [ - "n0 = 64.0\nn1 = 46.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "28.125" - ], - "split": "dev" - }, - { - "Input": "an empty fuel tank with a capacity of 200 gallons was filled partially with fuel a and then to capacity with fuel b . fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume . if the full fuel tank contains 28 gallons of ethanol , how many gallons of fuel a were added ?", - "Output Program": [ - "n0 = 200.0\nn1 = 12.0\nn2 = 16.0\nn3 = 28.0\nt0 = n2 / 100.0\nt1 = n1 / 100.0\nt2 = n0 * t0\nt3 = t0 - t1\nt4 = t2 - n3\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "99.99999999999999" - ], - "split": "dev" - }, - { - "Input": "a person incurs a loss of 5 % be selling a watch for rs . 1140 . at what price should the watch be sold to earn 5 % profit .", - "Output Program": [ - "n0 = 5.0\nn1 = 1140.0\nn2 = 5.0\nt0 = n0 + 100.0\nt1 = 100.0 - n0\nt2 = t1 / 100.0\nt3 = t0 / 100.0\nt4 = n1 / t2\nanswer = t4 * t3\nprint(answer)" - ], - "Output Answer": [ - "1260" - ], - "split": "dev" - }, - { - "Input": "a library branch originally contained 18360 volumes , 30 % of which were fiction novels . 1 / 3 of the volumes were transferred to another location and 1 / 5 of the volumes transferred were fiction novels . what percent of the remaining collection was fiction novels ?", - "Output Program": [ - "n0 = 18360.0\nn1 = 30.0\nn2 = 1.0\nn3 = 3.0\nn4 = 1.0\nn5 = 5.0\nt0 = n1 / 100.0\nt1 = n2 / n5\nt2 = 1.0 / 3.0\nt3 = 1.0 - t1\nt4 = 1.0 - t2\nt5 = t0 * t3\nt6 = t5 / t4\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "35.99999999999999" - ], - "split": "dev" - }, - { - "Input": "running at the same constant rate , 6 identical machines can produce a total of 420 bottles per minute . at this rate , how many bottles could 10 such machines produce in 4 minutes ?", - "Output Program": [ - "n0 = 6.0\nn1 = 420.0\nn2 = 10.0\nn3 = 4.0\nt0 = n1 / n0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "2800" - ], - "split": "dev" - }, - { - "Input": "money invested at x % , compounded annually , triples in value in approximately every 112 / x years . if $ 2000 is invested at a rate of 8 % , compounded annually , what will be its approximate worth in 28 years ?", - "Output Program": [ - "n0 = 112.0\nn1 = 2000.0\nn2 = 8.0\nn3 = 28.0\nt0 = n0 / n2\nt1 = n3 / t0\nt2 = 3.0**min(t1, 5)\nanswer = n1 * t2\nprint(answer)" - ], - "Output Answer": [ - "18000" - ], - "split": "dev" - }, - { - "Input": "a man buys rs . 44 shares paying 9 % dividend . the man wants to have an interest of 12 % on his money . the market value of each share is :", - "Output Program": [ - "n0 = 44.0\nn1 = 9.0\nn2 = 12.0\nt0 = 100.0 / n2\nt1 = n1 / 100.0\nt2 = n0 * t1\nanswer = t0 * t2\nprint(answer)" - ], - "Output Answer": [ - "33" - ], - "split": "dev" - }, - { - "Input": "a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 % . during the new year season , it further marked up its prices by 25 % of the original retail price . in february , the store then offered a discount of 20 % . what was its profit on the items sold in february ?", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nn2 = 20.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = 100.0 - n2\nt3 = t2 / 100.0\nt4 = t1 / 100.0\nt5 = t0 * t4\nt6 = t3 * t5\nanswer = t6 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "dev" - }, - { - "Input": "if the cost price of 50 articles is equal to the selling price of 20 articles , then the gain or loss percent is ?", - "Output Program": [ - "n0 = 50.0\nn1 = 20.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = 100.0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "dev" - }, - { - "Input": "what is rate of interest if principal . amount be 400 , simple interest 160 and time 2 year .", - "Output Program": [ - "n0 = 400.0\nn1 = 160.0\nn2 = 2.0\nt0 = n0 * n2\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "dev" - }, - { - "Input": "in a basket of apples , 12 % of them are rotten and 66 are in good condition . find the total number of apples in the basket .", - "Output Program": [ - "n0 = 12.0\nn1 = 66.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "dev" - }, - { - "Input": "fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 9 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discounts rates is 22 percent , what is the discount rate on pony jeans ?", - "Output Program": [ - "n0 = 15.0\nn1 = 18.0\nn2 = 9.0\nn3 = 5.0\nn4 = 3.0\nn5 = 2.0\nn6 = 22.0\nt0 = n6 / 100.0\nt1 = n1 * n5\nt2 = n0 * n4\nt3 = t0 * t1\nt4 = t2 - t1\nt5 = n2 - t3\nt6 = t5 / t4\nt7 = t0 - t6\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "dev" - }, - { - "Input": "ravi purchased a refrigerator and a mobile phone for rs . 15000 and rs . 8000 respectively . he sold the refrigerator at a loss of 2 percent and the mobile phone at a profit of 10 percent . overall he make a .", - "Output Program": [ - "n0 = 15000.0\nn1 = 8000.0\nn2 = 2.0\nn3 = 10.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = t2 + 1.0\nt4 = 1.0 - t1\nt5 = n0 * t4\nt6 = n1 * t3\nt7 = t5 + t6\nanswer = t7 - t0\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "dev" - }, - { - "Input": "car z travels 50 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour , but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour . how many miles does car z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour ?", - "Output Program": [ - "n0 = 50.0\nn1 = 45.0\nn2 = 20.0\nn3 = 60.0\nn4 = 10.0\nn5 = 60.0\nt0 = n2 / 100.0\nt1 = 1.0 - t0\nt2 = n0 * t1\nanswer = n4 * t2\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "dev" - }, - { - "Input": "30 % of employees are women with fair hair . 40 % of fair - haired employees are women . what percent of employees have fair hair ?", - "Output Program": [ - "n0 = 30.0\nn1 = 40.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "dev" - }, - { - "Input": "the mean daily profit made by a shopkeeper in a month of 30 days was rs . 350 . if the mean profit for the first fifteen days was rs . 255 , then the mean profit for the last 15 days would be", - "Output Program": [ - "n0 = 30.0\nn1 = 350.0\nn2 = 255.0\nn3 = 15.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 - t1\nanswer = t2 / n3\nprint(answer)" - ], - "Output Answer": [ - "445" - ], - "split": "dev" - }, - { - "Input": "a retailer bought a machine at a wholesale price of $ 108 and later on sold it after a 10 % discount of the retail price . if the retailer made a profit equivalent to 20 % of the whole price , what is the retail price of the machine ?", - "Output Program": [ - "n0 = 108.0\nn1 = 10.0\nn2 = 20.0\nt0 = n0 * n2\nt1 = 3.0 * 3.0\nt2 = t0 / 100.0\nt3 = n1 * t1\nt4 = n0 + t2\nt5 = t4 * 100.0\nanswer = t5 / t3\nprint(answer)" - ], - "Output Answer": [ - "144" - ], - "split": "dev" - }, - { - "Input": "i bought two books ; for rs . 470 . i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price . find the cost of the book sold at a loss ?", - "Output Program": [ - "n0 = 470.0\nn1 = 15.0\nn2 = 19.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = t0 + t1\nt3 = n0 * t0\nanswer = t3 / t2\nprint(answer)" - ], - "Output Answer": [ - "274.1666666666667" - ], - "split": "dev" - }, - { - "Input": "of the 200 employees in a certain company , 30 percent will be relocated to city x and the remaining 70 percent will be relocated to city y . however , 40 percent of the employees prefer city y and 60 percent prefer city x . what is the highest possible number of employees who will be relocated to the city they prefer ?", - "Output Program": [ - "n0 = 200.0\nn1 = 30.0\nn2 = 70.0\nn3 = 40.0\nn4 = 60.0\nt0 = n3 * 2.0\nanswer = n4 + t0\nprint(answer)" - ], - "Output Answer": [ - "140" - ], - "split": "dev" - }, - { - "Input": "raja spends 35 % of his monthly income on household items , 20 % of his monthly income on buying cloths , 5 % of his monthly income on medicines and saves the remaining amount which is rs . 15000 . find his monthly income .", - "Output Program": [ - "n0 = 35.0\nn1 = 20.0\nn2 = 5.0\nn3 = 15000.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = n2 / 100.0\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = 1.0 - t4\nanswer = n3 / t5\nprint(answer)" - ], - "Output Answer": [ - "37500.00000000001" - ], - "split": "dev" - }, - { - "Input": "a dishonest dealer professes to sell goods at the cost price but uses a weight of 920 grams per kg , what is his percent ?", - "Output Program": [ - "n0 = 920.0\nt0 = 2.0 + 3.0\nt1 = 100.0 / n0\nt2 = t0 * 2.0\nt3 = t2 * 100.0\nt4 = t1 * t3\nanswer = t4 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "8.695652173913047" - ], - "split": "dev" - }, - { - "Input": "a ladder 30 feet long is leaning against a wall that is perpendicular to level ground . the bottom of the ladder is 10 feet from the base of the wall . if the top of the ladder slips down 5 feet , how many feet will the bottom of the ladder slip ?", - "Output Program": [ - "import math\nn0 = 30.0\nn1 = 10.0\nn2 = 5.0\nt0 = n0**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = t0 - t1\nt3 = math.sqrt(max(0, t2))\nt4 = t3 - n2\nt5 = t4**min(2.0, 5)\nt6 = t0 - t5\nanswer = math.sqrt(max(0, t6))\nprint(answer)" - ], - "Output Answer": [ - "18.916731019777675" - ], - "split": "dev" - }, - { - "Input": "heinz produces tomato puree by boiling tomato juice . the tomato puree has only 20 % water while the tomato juice has 90 % water . how many liters of tomato puree will be obtained from 25 litres of tomato juice ?", - "Output Program": [ - "n0 = 20.0\nn1 = 90.0\nn2 = 25.0\nt0 = 100.0 - n1\nt1 = 100.0 - n0\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = n2 * t2\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "3.125" - ], - "split": "dev" - }, - { - "Input": "at a small company , 58 percent of the employees are women , and 60 percent of the employees are married . if 2 / 3 of the men are single , what fraction of the women are married ?", - "Output Program": [ - "n0 = 58.0\nn1 = 60.0\nn2 = 2.0\nn3 = 3.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = n2 / n3\nt3 = 1.0 - t1\nt4 = 1.0 - t2\nt5 = t3 * t4\nt6 = t0 - t5\nanswer = t6 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.7931034482758621" - ], - "split": "dev" - }, - { - "Input": "a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store , at the end of one month the number of total items sold increases 15 % . their gross income from sales for one month increases by what percent ?", - "Output Program": [ - "n0 = 10.0\nn1 = 15.0\nt0 = n1 / n0\nt1 = n1 - n0\nanswer = t1 - t0\nprint(answer)" - ], - "Output Answer": [ - "3.5" - ], - "split": "dev" - }, - { - "Input": "if a man lost 8 % by selling oranges at the rate of 25 a rupee at how many a rupee must he sell them to gain 25 % ?", - "Output Program": [ - "n0 = 8.0\nn1 = 25.0\nn2 = 25.0\nt0 = n2 + 100.0\nt1 = 100.0 - n0\nt2 = n1 * t1\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "18.4" - ], - "split": "dev" - }, - { - "Input": "a tradesman by means of his false balance defrauds to the extent of 20 % ? in buying goods as well as by selling the goods . what percent does he gain on his outlay ? a . 20 % b . 45 %", - "Output Program": [ - "n0 = 20.0\nn1 = 20.0\nn2 = 45.0\nt0 = n0 + n0\nt1 = n0 * n0\nt2 = t1 / 100.0\nanswer = t0 + t2\nprint(answer)" - ], - "Output Answer": [ - "44" - ], - "split": "dev" - }, - { - "Input": "the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs . 72 . find the principal ?", - "Output Program": [ - "n0 = 2.0\nn1 = 20.0\nn2 = 72.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n0 * t0\nt3 = t2 + 1.0\nt4 = t1**min(n0, 5)\nt5 = t4 - t3\nanswer = n2 / t5\nprint(answer)" - ], - "Output Answer": [ - "1799.9999999999984" - ], - "split": "dev" - }, - { - "Input": "5 % of ( 25 % of $ 1600 ) is ?", - "Output Program": [ - "n0 = 5.0\nn1 = 25.0\nn2 = 1600.0\nt0 = n1 * n2\nt1 = t0 / 100.0\nt2 = n0 * t1\nanswer = t2 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "dev" - }, - { - "Input": "a trader sold an article on a certain price with 40 % profit . if he sold double of previous selling price then find its profit %", - "Output Program": [ - "n0 = 40.0\nt0 = n0 + 100.0\nt1 = t0 * 2.0\nanswer = t1 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "180" - ], - "split": "dev" - }, - { - "Input": "a lent rs . 5000 to b for 2 years and rs . 3000 to c for 4 years on simple interest at the same rate of interest and received rs . 1540 in all from both of them as interest . the rate of interest per annum is ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 2.0\nn2 = 3000.0\nn3 = 4.0\nn4 = 1540.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 + t1\nt3 = n4 / t2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "7.000000000000001" - ], - "split": "dev" - }, - { - "Input": "a , b and c started a business with capitals of rs . 8000 , rs . 10000 and rs . 12000 respectively . at the end of the year , the profit share of b is rs . 2500 . the difference between the profit shares of a and c is ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 10000.0\nn2 = 12000.0\nn3 = 2500.0\nt0 = n2 / n1\nt1 = n0 / n1\nt2 = t0 - t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "999.9999999999998" - ], - "split": "dev" - }, - { - "Input": "on a sum of money , the simple interest for 2 years is rs . 326 , while the compound interest is rs . 340 , the rate of interest being the same in both the cases . the rate of interest is", - "Output Program": [ - "n0 = 2.0\nn1 = 326.0\nn2 = 340.0\nt0 = n1 / n0\nt1 = n2 - t0\nt2 = t1 - t0\nt3 = t2 * 100.0\nanswer = t3 / t0\nprint(answer)" - ], - "Output Answer": [ - "8.588957055214724" - ], - "split": "dev" - }, - { - "Input": "a man walking at a rate of 5 km / hr crosses a bridge in 15 minutes . the length of the bridge is ?", - "Output Program": [ - "n0 = 5.0\nn1 = 15.0\nt0 = n0 * 1000.0\nt1 = t0 / 60.0\nanswer = n1 * t1\nprint(answer)" - ], - "Output Answer": [ - "1250" - ], - "split": "dev" - }, - { - "Input": "the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 11 . if p invested the money for 5 months , find for how much time did q invest the money ?", - "Output Program": [ - "n0 = 7.0\nn1 = 5.0\nn2 = 7.0\nn3 = 11.0\nn4 = 5.0\nt0 = n0 / n1\nt1 = n3 / n2\nt2 = t0 * t1\nanswer = n4 * t2\nprint(answer)" - ], - "Output Answer": [ - "10.999999999999998" - ], - "split": "dev" - }, - { - "Input": "a fair price shopkeeper takes 10 % profit on his goods . he lost 30 % goods during theft . his loss percent is :", - "Output Program": [ - "n0 = 10.0\nn1 = 30.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "23" - ], - "split": "dev" - }, - { - "Input": "a fair price shopkeeper takes 10 % profit on his goods . he lost 70 % goods during theft . his loss percent is :", - "Output Program": [ - "n0 = 10.0\nn1 = 70.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "67" - ], - "split": "dev" - }, - { - "Input": "a person borrows rs . 7000 for 2 years at 4 % p . a . simple interest . he immediately lends it to another person at 6 p . a for 2 years . find his gain in the transaction per year .", - "Output Program": [ - "n0 = 7000.0\nn1 = 2.0\nn2 = 4.0\nn3 = 6.0\nn4 = 2.0\nt0 = n0 * n3\nt1 = n0 * n2\nt2 = n1 * t0\nt3 = n1 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nt6 = t4 - t5\nanswer = t6 / n1\nprint(answer)" - ], - "Output Answer": [ - "140" - ], - "split": "dev" - }, - { - "Input": "seed mixture x is 40 percent ryegrass and 60 percent bluegrass by weight ; seed mixture y is 25 percent ryegrass and 75 percent fescue . if a mixture of x and y contains 40 percent ryegrass , what percent of the weight of this mixture is x ?", - "Output Program": [ - "n0 = 40.0\nn1 = 60.0\nn2 = 25.0\nn3 = 75.0\nn4 = 40.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n4 - n2\nt3 = t0 - t1\nanswer = t2 / t3\nprint(answer)" - ], - "Output Answer": [ - "99.99999999999999" - ], - "split": "dev" - }, - { - "Input": "each month a retailer sells 100 identical items . on each item he makes a profit of $ 60 that constitutes 10 % of the item ' s price to the retailer . if the retailer contemplates giving a 5 % discount on the items he sells , what is the least number of items he will have to sell each month to justify the policy of the discount ?", - "Output Program": [ - "n0 = 100.0\nn1 = 60.0\nn2 = 10.0\nn3 = 5.0\nt0 = n0 * n1\nt1 = t0 / n2\nt2 = n1 + t1\nt3 = n3 * t2\nt4 = t3 / n0\nt5 = n1 - t4\nanswer = t0 / t5\nprint(answer)" - ], - "Output Answer": [ - "222.22222222222223" - ], - "split": "dev" - }, - { - "Input": "in a certain company , a third of the workers do not have a retirement plan . 20 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 160 of the workers of that company are men , how many of the workers are women ?", - "Output Program": [ - "n0 = 20.0\nn1 = 40.0\nn2 = 160.0\nt0 = 1.0 / 3.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 * t1\nt4 = 1.0 - t0\nt5 = t2 * t4\nt6 = t0 - t3\nt7 = t5 + t6\nt8 = t4 - t5\nt9 = t3 + t8\nt10 = n2 / t7\nanswer = t9 * t10\nprint(answer)" - ], - "Output Answer": [ - "139.99999999999997" - ], - "split": "dev" - }, - { - "Input": "35 % of the employees of a company are men . 60 % of the men in the company speak french and 40 % of the employees of the company speak french . what is % of the women in the company who do not speak french ?", - "Output Program": [ - "n0 = 35.0\nn1 = 60.0\nn2 = 40.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = 100.0 - n0\nt4 = t3 / 100.0\nt5 = t1 * t2\nt6 = t0 - t5\nt7 = t4 - t6\nt8 = t7 / t4\nanswer = t8 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "70.76923076923076" - ], - "split": "dev" - }, - { - "Input": "find compound interest on $ 10000 at 15 % per annum for 2 years 4 months , compounded annually .", - "Output Program": [ - "n0 = 10000.0\nn1 = 15.0\nn2 = 2.0\nn3 = 4.0\nt0 = n1 / 100.0\nt1 = t0 / 3.0\nt2 = n0 * t0\nt3 = n0 + t2\nt4 = t3 * t0\nt5 = t2 + t4\nt6 = t3 + t4\nt7 = t6 * t1\nanswer = t5 + t7\nprint(answer)" - ], - "Output Answer": [ - "3886.25" - ], - "split": "dev" - }, - { - "Input": "if a sum of money doubles itself in 20 years at simple interest , the ratepercent per annum is", - "Output Program": [ - "n0 = 20.0\nt0 = n0 / 100.0\nt1 = 2.0 / t0\nanswer = t1 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "dev" - }, - { - "Input": "a person incurs a loss of 5 % be selling a watch for rs . 1140 . at what price should the watch be sold to earn 5 % profit", - "Output Program": [ - "n0 = 5.0\nn1 = 1140.0\nn2 = 5.0\nt0 = n0 + 100.0\nt1 = 100.0 - n0\nt2 = t1 / 100.0\nt3 = t0 / 100.0\nt4 = n1 / t2\nanswer = t4 * t3\nprint(answer)" - ], - "Output Answer": [ - "1260" - ], - "split": "dev" - }, - { - "Input": "ms . lopez deposits $ 150 in an account that pays 20 % interest , compounded semiannually . how much money will there be in the account at the end of one year ?", - "Output Program": [ - "n0 = 150.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = t0 / 2.0\nt2 = t1 + 1.0\nt3 = t2**min(2.0, 5)\nanswer = n0 * t3\nprint(answer)" - ], - "Output Answer": [ - "181.50000000000003" - ], - "split": "dev" - }, - { - "Input": "the price of stock decreased by 5 % last year and rose by 10 % this year . what is the net percentage change in the price of the stock ?", - "Output Program": [ - "n0 = 5.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "4.499999999999993" - ], - "split": "dev" - }, - { - "Input": "a soccer team played 280 games and won 65 percent of them . how many games did it win ?", - "Output Program": [ - "n0 = 280.0\nn1 = 65.0\nt0 = n0 * n1\nanswer = t0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "182" - ], - "split": "dev" - }, - { - "Input": "raman , lakshmi and muthu enter into partnership . raman invests some money at the beginning , lakshmi invests double the amount after 6 months , and muthu invests thrice the amount after 8 months . if the annual gain be rs . 36000 . lakshmi ' s share is ?", - "Output Program": [ - "n0 = 6.0\nn1 = 8.0\nn2 = 36000.0\nt0 = 2.0 / n0\nanswer = n2 * t0\nprint(answer)" - ], - "Output Answer": [ - "12000" - ], - "split": "dev" - }, - { - "Input": "when sold at a 70 % discount , a sweater nets the merchant a 40 % profit on the wholesale cost at which he initially purchased the item . by what % is the sweater marked up from wholesale at its normal retail price ?", - "Output Program": [ - "n0 = 70.0\nn1 = 40.0\nt0 = n1 / 100.0\nt1 = 100.0 - n0\nt2 = t0 + 1.0\nt3 = t1 / t2\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "78.57142857142857" - ], - "split": "dev" - }, - { - "Input": "if x is invested in a bank at a rate of simple interest of y % p . a . for two years , then the interest earned is 900 . if x is invested at y % p . a . , for two years when the interest is compounded annually , the interest is 922.50 . what is the value of x ?", - "Output Program": [ - "n0 = 900.0\nn1 = 922.5\nt0 = n0 / 2.0\nt1 = n1 - n0\nt2 = t0**min(2.0, 5)\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "9000" - ], - "split": "dev" - }, - { - "Input": "in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the run rate in the remaining 22 overs to reach the target of 282 runs ?", - "Output Program": [ - "n0 = 10.0\nn1 = 3.2\nn2 = 22.0\nn3 = 282.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "11.363636363636363" - ], - "split": "dev" - }, - { - "Input": "if x is invested in a bank at a rate of simple interest of y % p . a . for two years , then the interest earned is 800 . if x is invested at y % p . a . , for two years when the interest is compounded annually , the interest is 820 . what is the value of x ?", - "Output Program": [ - "n0 = 800.0\nn1 = 820.0\nt0 = n0 / 2.0\nt1 = n1 - n0\nt2 = t0**min(2.0, 5)\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "8000" - ], - "split": "dev" - }, - { - "Input": "i had 30 donuts when i left home this morning but only 9 when i came back home . what percentage of the donuts are missing ?", - "Output Program": [ - "n0 = 30.0\nn1 = 9.0\nt0 = n0 * 2.0\nanswer = t0 + 10.0\nprint(answer)" - ], - "Output Answer": [ - "70" - ], - "split": "dev" - }, - { - "Input": "an article with cost price of 240 is sold at 20 % profit . what is the selling price ?", - "Output Program": [ - "n0 = 240.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "288" - ], - "split": "dev" - }, - { - "Input": "in a certain company , a third of the workers do not have a retirement plan . 40 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 120 of the workers of that company are men , how many of the workers are women ?", - "Output Program": [ - "n0 = 40.0\nn1 = 40.0\nn2 = 120.0\nt0 = 1.0 / 3.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 * t1\nt4 = 1.0 - t0\nt5 = t2 * t4\nt6 = t0 - t3\nt7 = t5 + t6\nt8 = t4 - t5\nt9 = t3 + t8\nt10 = n2 / t7\nanswer = t9 * t10\nprint(answer)" - ], - "Output Answer": [ - "137.1428571428571" - ], - "split": "dev" - }, - { - "Input": "the credit card and a global payment processing companies have been suffering losses for some time now . a well known company recently announced its quarterly results . according to the results , the revenue fell to $ 48.0 billion from $ 72.0 billion , a year ago . by what percent did the revenue fall ?", - "Output Program": [ - "n0 = 48.0\nn1 = 72.0\nt0 = n1 - n0\nt1 = t0 / n1\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "dev" - }, - { - "Input": "a trader bought a car at 10 % discount on its original price . he sold it at a 80 % increase on the price he bought it . what percent of profit did he make on the original price ?", - "Output Program": [ - "n0 = 10.0\nn1 = 80.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 / 100.0\nt4 = t3 / 100.0\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "62.000000000000014" - ], - "split": "dev" - }, - { - "Input": "a man buys a cycle for rs . 2800 and sells it at a loss of 25 % . what is the selling price of the cycle ?", - "Output Program": [ - "n0 = 2800.0\nn1 = 25.0\nt0 = 100.0 - n1\nt1 = n0 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "2100" - ], - "split": "dev" - }, - { - "Input": "a reduction of 40 % in the price of oil enables a house wife to obtain 8 kgs more for rs . 2400 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 40.0\nn1 = 8.0\nn2 = 2400.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "dev" - }, - { - "Input": "the length of a rectangular floor is more than its breadth by 200 % . if rs . 240 is required to paint the floor at the rate of rs . 3 per sq m , then what would be the length of the floor ?", - "Output Program": [ - "import math\nn0 = 200.0\nn1 = 240.0\nn2 = 3.0\nt0 = n1 / n2\nt1 = t0 / 3.0\nt2 = math.sqrt(max(0, t1))\nanswer = t2 * 3.0\nprint(answer)" - ], - "Output Answer": [ - "15.491933384829668" - ], - "split": "dev" - }, - { - "Input": "if the cost price of 50 articles is equal to the selling price of 40 articles , then the gain or loss percent is ?", - "Output Program": [ - "n0 = 50.0\nn1 = 40.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = 100.0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "dev" - }, - { - "Input": "a trader bought a car at 20 % discount on its original price . he sold it at a 50 % increase on the price he bought it . what percent of profit did he make on the original price ?", - "Output Program": [ - "n0 = 20.0\nn1 = 50.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 / 100.0\nt4 = t3 / 100.0\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "19.999999999999996" - ], - "split": "dev" - }, - { - "Input": "on a saturday night , each of the rooms at a certain motel was rented for either $ 40 or $ 60 . if 10 of the rooms that were rented for $ 60 had instead been rented for $ 40 , then the total rent the motel charged for that night would have been reduced by 40 percent . what was the total rent the motel actually charged for that night ?", - "Output Program": [ - "n0 = 40.0\nn1 = 60.0\nn2 = 10.0\nn3 = 60.0\nn4 = 40.0\nn5 = 40.0\nt0 = n5 / 100.0\nt1 = n1 - n0\nt2 = n2 * t1\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "dev" - }, - { - "Input": "a trader bought a car at 20 % discount on its original price . he sold it at a 60 % increase on the price he bought it . what percent of profit did he make on the original price ?", - "Output Program": [ - "n0 = 20.0\nn1 = 60.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 / 100.0\nt4 = t3 / 100.0\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "28.000000000000004" - ], - "split": "dev" - }, - { - "Input": "after successive discounts of 20 % , 10 % and 5 % a certain good is sold for rs . 6700 . find the actual price of the good .", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nn2 = 5.0\nn3 = 6700.0\nt0 = n3 * 100.0\nt1 = 100.0 - n0\nt2 = n1 * t1\nt3 = t2 / 100.0\nt4 = t1 - t3\nt5 = n2 * t4\nt6 = t5 / 100.0\nt7 = t4 - t6\nanswer = t0 / t7\nprint(answer)" - ], - "Output Answer": [ - "9795.3216374269" - ], - "split": "dev" - }, - { - "Input": "in one alloy there is 10 % chromium while in another alloy it is 6 % . 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy . find the percentage of chromium in the new alloy .", - "Output Program": [ - "n0 = 10.0\nn1 = 6.0\nn2 = 15.0\nn3 = 35.0\nt0 = n2 + n3\nt1 = n0 * n2\nt2 = n1 * n3\nt3 = t1 / 100.0\nt4 = t2 / 100.0\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "7.200000000000001" - ], - "split": "dev" - }, - { - "Input": "the purchase price of an article is $ 48 . in order to include 5 % of cost for overhead and to provide $ 12 of net profit , the markup should be", - "Output Program": [ - "n0 = 48.0\nn1 = 5.0\nn2 = 12.0\nt0 = n2 / n0\nt1 = t0 * 100.0\nanswer = n1 + t1\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "dev" - }, - { - "Input": "a store reduced the price of all items in the store by 12 % on the first day and by another 10 % on the second day . the price of items on the second day was what percent of the price before the first reduction took place ?", - "Output Program": [ - "n0 = 12.0\nn1 = 10.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 * t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "79.2" - ], - "split": "dev" - }, - { - "Input": "the owner of a furniture shop charges his customer 60 % more than the cost price . if a customer paid rs . 2000 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 60.0\nn1 = 2000.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "1250" - ], - "split": "dev" - }, - { - "Input": "the compound interest earned by sunil on a certain amount at the end of two years at the rate of 10 % p . a . was rs . 420 . find the total amount that sunil got back at the end of two years in the form of principal plus interest earned .", - "Output Program": [ - "n0 = 10.0\nn1 = 420.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nt3 = t2 - 1.0\nt4 = n1 / t3\nanswer = n1 + t4\nprint(answer)" - ], - "Output Answer": [ - "2419.999999999998" - ], - "split": "dev" - }, - { - "Input": "a man gains 30 % by selling an article for a certain price . if he sells it at double the price , the percentage of profit will be .", - "Output Program": [ - "n0 = 30.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1 * 2.0\nt3 = t2 - 1.0\nt4 = t3 * 100.0\nanswer = t4 + 100.0\nprint(answer)" - ], - "Output Answer": [ - "260" - ], - "split": "dev" - }, - { - "Input": "the list price of an article is rs . 70 . a customer pays rs . 56.16 for it . he was given two successive discounts , one of them being 10 % . the other discount is ?", - "Output Program": [ - "n0 = 70.0\nn1 = 56.16\nn2 = 10.0\nt0 = n2 / 100.0\nt1 = n0 * t0\nt2 = n0 - t1\nt3 = t2 - n1\nt4 = t3 / t2\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10.857142857142863" - ], - "split": "dev" - }, - { - "Input": "the compound interest earned on a sum for the second and the third years are $ 1200 and $ 1260 respectively . what is the rate of interest ?", - "Output Program": [ - "n0 = 1200.0\nn1 = 1260.0\nt0 = n1 - n0\nt1 = t0 * 100.0\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "dev" - }, - { - "Input": "the s . i . on a certain sum of money for 2 years at 4 % per annum is half the c . i . on rs . 4000 for 2 years at 10 % per annum . the sum placed on s . i . is ?", - "Output Program": [ - "n0 = 2.0\nn1 = 4.0\nn2 = 4000.0\nn3 = 2.0\nn4 = 10.0\nt0 = n4 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = n0 * t1\nt4 = t2**min(n3, 5)\nt5 = n2 * t4\nt6 = t5 - n2\nt7 = t6 / n3\nanswer = t7 / t3\nprint(answer)" - ], - "Output Answer": [ - "5250.0000000000055" - ], - "split": "dev" - }, - { - "Input": "a jar was full with honey . a person used to draw out 20 % of the honey from the jar and replaced it with sugar solution . he has repeated the same process 4 times and thus there was only 512 gm of honey left in the jar , the rest part of the jar was filled with the sugar solution . the initial amount of honey in the jar was filled with the sugar solution . the initial amount of honey in the jar was :", - "Output Program": [ - "n0 = 20.0\nn1 = 4.0\nn2 = 512.0\nt0 = n0 / n1\nt1 = n1 / t0\nt2 = t1**min(n1, 5)\nt3 = n2 / t2\nanswer = t3 / 1000.0\nprint(answer)" - ], - "Output Answer": [ - "1.2499999999999998" - ], - "split": "dev" - }, - { - "Input": "a person purchases 90 clocks and sells 40 clocks at a gain of 10 % and 50 clocks at a gain of 20 % . if he sold all of them at a uniform profit of 15 % , then he would have got rs . 40 less . the cost price of each clock is : ?", - "Output Program": [ - "n0 = 90.0\nn1 = 40.0\nn2 = 10.0\nn3 = 50.0\nn4 = 20.0\nn5 = 15.0\nn6 = 40.0\nt0 = n2 / 100.0\nt1 = n4 / 100.0\nt2 = n5 / 100.0\nt3 = t0 + 1.0\nt4 = t1 + 1.0\nt5 = t2 + 1.0\nt6 = n1 * t3\nt7 = n3 * t4\nt8 = n0 * t5\nt9 = t6 + t7\nt10 = t9 - t8\nanswer = n1 / t10\nprint(answer)" - ], - "Output Answer": [ - "79.99999999999773" - ], - "split": "dev" - }, - { - "Input": "a farmer spent $ 35 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a 50 % discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have spent on the chicken feed and goat feed combined ?", - "Output Program": [ - "n0 = 35.0\nn1 = 40.0\nn2 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "49" - ], - "split": "dev" - }, - { - "Input": "the salary of a person was reduced by 14 % . by what percent should his reduced salary be raised so as to bring it at par with his original salary ?", - "Output Program": [ - "n0 = 14.0\nt0 = n0 / 100.0\nt1 = t0 * 100.0\nt2 = 100.0 - t1\nt3 = t1 / t2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "16.27906976744186" - ], - "split": "dev" - }, - { - "Input": "a man invested rs . 14,400 in rs . 100 shares of a company at 25 % premium . if the company declares 5 % dividend at the end of the year , then how much does he get ?", - "Output Program": [ - "n0 = 14400.0\nn1 = 100.0\nn2 = 25.0\nn3 = 5.0\nt0 = n3 / n1\nt1 = n2 / n1\nt2 = 10.0 * 1000.0\nt3 = 1000.0 * 4.0\nt4 = n1 * 4.0\nt5 = t2 + t3\nt6 = n1 * t1\nt7 = t5 + t4\nt8 = n1 + t6\nt9 = t7 / t8\nt10 = n1 * t9\nanswer = t0 * t10\nprint(answer)" - ], - "Output Answer": [ - "576" - ], - "split": "dev" - }, - { - "Input": "a ladder 22 feet long is leaning against a wall that is perpendicular to level ground . the bottom of the ladder is 7 feet from the base of the wall . if the top of the ladder slips down 3 feet , how many feet will the bottom of the ladder slip ?", - "Output Program": [ - "import math\nn0 = 22.0\nn1 = 7.0\nn2 = 3.0\nt0 = n0**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = t0 - t1\nt3 = math.sqrt(max(0, t2))\nt4 = t3 - n2\nt5 = t4**min(2.0, 5)\nt6 = t0 - t5\nanswer = math.sqrt(max(0, t6))\nprint(answer)" - ], - "Output Answer": [ - "12.850677868800746" - ], - "split": "dev" - }, - { - "Input": "40 % of a number is added to 60 , the result is the same number . find the number ?", - "Output Program": [ - "n0 = 40.0\nn1 = 60.0\nt0 = n1 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "dev" - }, - { - "Input": "a sum of money becomes 7 / 6 of itself in 7 years at a certain rate of simple interest . the rate per annum is ?", - "Output Program": [ - "n0 = 7.0\nn1 = 6.0\nn2 = 7.0\nt0 = n0 / n1\nt1 = t0 - 1.0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2.380952380952382" - ], - "split": "dev" - }, - { - "Input": "a small college reduced its faculty by approximately 15 percent to 195 professors . what was the original number of faculty members ?", - "Output Program": [ - "n0 = 15.0\nn1 = 195.0\nt0 = 100.0 - n0\nt1 = t0 / 100.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "229.41176470588235" - ], - "split": "dev" - }, - { - "Input": "a sum of rs 468.75 was lent out at simple interest and at the end of 1 year and 8 months , the total amount of rs 500 is received . find the rate of interest ?", - "Output Program": [ - "n0 = 468.75\nn1 = 1.0\nn2 = 8.0\nn3 = 500.0\nt0 = n2 / 12.0\nt1 = n3 - n0\nt2 = n1 + t0\nt3 = t1 * 100.0\nt4 = t3 / t2\nanswer = t4 / n0\nprint(answer)" - ], - "Output Answer": [ - "4.000000000000001" - ], - "split": "dev" - }, - { - "Input": "a grocer purchased a quantity of bananas at 3 pounds for $ 0.50 and sold the entire quantity at 4 pounds for $ 1.00 . how many pounds did the grocer purchase if the profit from selling the bananas was $ 11.00 ?", - "Output Program": [ - "n0 = 3.0\nn1 = 0.5\nn2 = 4.0\nn3 = 1.0\nn4 = 11.0\nt0 = n3 / n2\nt1 = n1 / n0\nt2 = t0 - t1\nanswer = n4 / t2\nprint(answer)" - ], - "Output Answer": [ - "131.99999999999997" - ], - "split": "dev" - }, - { - "Input": "a chemical supply company has 60 liters of a 35 % hno 3 solution . how many liters of pure undiluted hno 3 must the chemists add so that the resultant solution is a 50 % solution ?", - "Output Program": [ - "n0 = 60.0\nn1 = 35.0\nn2 = 3.0\nn3 = 3.0\nn4 = 50.0\nt0 = n0 / 2.0\nt1 = n0 * n1\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = t3 * 2.0\nprint(answer)" - ], - "Output Answer": [ - "18" - ], - "split": "dev" - }, - { - "Input": "at a certain conference , 78 % of the attendees registered at least two weeks in advance and paid their conference fee in full . if 10 % of the attendees who paid their conference fee in full did not register at least two weeks in advance , what percent of conference attendees registered at least two weeks in advance ?", - "Output Program": [ - "n0 = 78.0\nn1 = 10.0\nt0 = n0 * 100.0\nt1 = 100.0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "86.66666666666667" - ], - "split": "dev" - }, - { - "Input": "by selling an article at rs . 500 , a profit of 25 % is made . find its cost price ?", - "Output Program": [ - "n0 = 500.0\nn1 = 25.0\nt0 = n1 + 100.0\nt1 = n0 * 100.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "dev" - }, - { - "Input": "a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 900 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 25.0\nn1 = 5.0\nn2 = 900.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "45" - ], - "split": "dev" - }, - { - "Input": "if an investor puts $ 700 in a savings account that earns 10 percent annual interest compounded semiannually , how much money will be in the account after one year ?", - "Output Program": [ - "n0 = 700.0\nn1 = 10.0\nt0 = n1 / 2.0\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nt3 = t2**min(2.0, 5)\nanswer = n0 * t3\nprint(answer)" - ], - "Output Answer": [ - "771.75" - ], - "split": "dev" - }, - { - "Input": "a person purchases 90 clocks and sells 40 clocks at a gain of 10 % and 50 clocks at a gain of 20 % . if he sold all of them at a uniform profit of 15 % , then he would have got rs . 40 less . the cost price of each clock is :", - "Output Program": [ - "n0 = 90.0\nn1 = 40.0\nn2 = 10.0\nn3 = 50.0\nn4 = 20.0\nn5 = 15.0\nn6 = 40.0\nt0 = n2 / 100.0\nt1 = n4 / 100.0\nt2 = n5 / 100.0\nt3 = t0 + 1.0\nt4 = t1 + 1.0\nt5 = t2 + 1.0\nt6 = n1 * t3\nt7 = n3 * t4\nt8 = n0 * t5\nt9 = t6 + t7\nt10 = t9 - t8\nanswer = n1 / t10\nprint(answer)" - ], - "Output Answer": [ - "79.99999999999773" - ], - "split": "dev" - }, - { - "Input": "an inspector rejects 0.05 % of the meters as defective . how many will he examine to reject 4 ?", - "Output Program": [ - "n0 = 0.05\nn1 = 4.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "8000" - ], - "split": "dev" - }, - { - "Input": "what is the compound interest paid on a sum of rs . 3000 for the period of 2 years at 10 % per annum .", - "Output Program": [ - "n0 = 3000.0\nn1 = 2.0\nn2 = 10.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nt3 = n0 * t2\nanswer = t3 - n0\nprint(answer)" - ], - "Output Answer": [ - "630.0000000000005" - ], - "split": "dev" - }, - { - "Input": "thirty percent of the members of a swim club have passed the lifesaving test . among the members who have not passed the test , 12 have taken the preparatory course and 30 have not taken the course . how many members are there in the swim club ?", - "Output Program": [ - "n0 = 12.0\nn1 = 30.0\nt0 = n0 + n1\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nanswer = t0 / t2\nprint(answer)" - ], - "Output Answer": [ - "60.00000000000001" - ], - "split": "dev" - }, - { - "Input": "3 candidates in an election and received 1136 , 7636 and 11628 votes respectively . what % of the total votes did the winning candidate gotin that election ?", - "Output Program": [ - "n0 = 3.0\nn1 = 1136.0\nn2 = 7636.0\nn3 = 11628.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = n3 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "56.99999999999999" - ], - "split": "dev" - }, - { - "Input": "at what rate percent on simple interest will rs . 1750 amount to rs . 2000 in 3 years ?", - "Output Program": [ - "n0 = 1750.0\nn1 = 2000.0\nn2 = 3.0\nt0 = n1 - n0\nt1 = t0 / n0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "4.761904761904762" - ], - "split": "dev" - }, - { - "Input": "the principal that amounts to rs . 4813 in 3 years at 6 1 / 4 % per annum c . i . compounded annually , is ?", - "Output Program": [ - "n0 = 4813.0\nn1 = 3.0\nn2 = 6.0\nn3 = 1.0\nn4 = 4.0\nt0 = n3 / n4\nt1 = n2 + t0\nt2 = t1 / 100.0\nt3 = t2 + n3\nt4 = t3**min(n1, 5)\nanswer = n0 / t4\nprint(answer)" - ], - "Output Answer": [ - "4012.6293507022187" - ], - "split": "dev" - }, - { - "Input": "the first flight out of phoenix airport had a late departure . if the next 3 flights departed on - time , how many subsequent flights need to depart from phoenix on - time , for the airport ' s on - time departure rate to be higher than 40 % ?", - "Output Program": [ - "import math\nn0 = 3.0\nn1 = 40.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = math.floor(t1)\nanswer = t2 + 1.0\nprint(answer)" - ], - "Output Answer": [ - "2" - ], - "split": "dev" - }, - { - "Input": "two years ago , ram put $ 500 into a savings account . at the end of the first year , his account had accrued $ 100 in interest bringing his total balance to $ 600 . the next year , his account balance increased by 10 % . at the end of the two years , by what percent has ram ' s account balance increased from his initial deposit of $ 500 ?", - "Output Program": [ - "n0 = 500.0\nn1 = 100.0\nn2 = 600.0\nn3 = 10.0\nn4 = 500.0\nt0 = n3 / 100.0\nt1 = n2 * t0\nt2 = n1 + t1\nt3 = t2 / n0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "32" - ], - "split": "dev" - }, - { - "Input": "if the price of an article went up by 30 % , then by what percent should it be brought down to bring it back to its original price ?", - "Output Program": [ - "n0 = 30.0\nt0 = n0 + 100.0\nt1 = n0 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "23.076923076923077" - ], - "split": "dev" - }, - { - "Input": "what is the normal price of an article sold at $ 144 after two successive discounts of 10 % and 20 % ?", - "Output Program": [ - "n0 = 144.0\nn1 = 10.0\nn2 = 20.0\nt0 = 100.0 - n1\nt1 = 100.0 - n2\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 * t3\nanswer = n0 / t4\nprint(answer)" - ], - "Output Answer": [ - "199.99999999999997" - ], - "split": "dev" - }, - { - "Input": "if 15 % of 30 % of 50 % of a number is 108 , then what is the number ?", - "Output Program": [ - "n0 = 15.0\nn1 = 30.0\nn2 = 50.0\nn3 = 108.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 / 100.0\nt3 = t1 * t2\nt4 = t0 * t3\nanswer = n3 / t4\nprint(answer)" - ], - "Output Answer": [ - "4800" - ], - "split": "dev" - }, - { - "Input": "what is the rate percent when the simple interest on rs . 720 amount to rs . 180 in 4 years ?", - "Output Program": [ - "n0 = 720.0\nn1 = 180.0\nn2 = 4.0\nt0 = n1 * 100.0\nt1 = n0 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "6.25" - ], - "split": "dev" - }, - { - "Input": "by selling an article at rs . 600 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 25 % ?", - "Output Program": [ - "n0 = 600.0\nn1 = 25.0\nn2 = 25.0\nt0 = n1 + 100.0\nt1 = n0 * 100.0\nt2 = t1 / t0\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "360" - ], - "split": "dev" - }, - { - "Input": "the length of a rectangular floor is more than its breadth by 200 % . if rs . 300 is required to paint the floor at the rate of rs . 5 per sq m , then what would be the length of the floor ?", - "Output Program": [ - "import math\nn0 = 200.0\nn1 = 300.0\nn2 = 5.0\nt0 = n1 / n2\nt1 = t0 / 3.0\nt2 = math.sqrt(max(0, t1))\nanswer = t2 * 3.0\nprint(answer)" - ], - "Output Answer": [ - "13.416407864998739" - ], - "split": "dev" - }, - { - "Input": "the s . i . on a certain sum of money for 5 years at 10 % per annum is half the c . i . on rs . 5000 for 2 years at 12 % per annum . the sum placed on s . i . is ?", - "Output Program": [ - "n0 = 5.0\nn1 = 10.0\nn2 = 5000.0\nn3 = 2.0\nn4 = 12.0\nt0 = n4 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = n0 * t1\nt4 = t2**min(n3, 5)\nt5 = n2 * t4\nt6 = t5 - n2\nt7 = t6 / n3\nanswer = t7 / t3\nprint(answer)" - ], - "Output Answer": [ - "1272.000000000001" - ], - "split": "dev" - }, - { - "Input": "at what rate percent on simple interest will rs . 750 amount to rs . 900 in 8 years ?", - "Output Program": [ - "n0 = 750.0\nn1 = 900.0\nn2 = 8.0\nt0 = n1 - n0\nt1 = t0 / n0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2.5" - ], - "split": "dev" - }, - { - "Input": "a technician makes a round - trip to and from a certain service center by the same route . if the technician completes the drive to the center and then completes 40 percent of the drive from the center , what percent of the round - trip has the technician completed ?", - "Output Program": [ - "n0 = 40.0\nt0 = 100.0 / 2.0\nt1 = n0 * t0\nt2 = t1 / 100.0\nanswer = t0 + t2\nprint(answer)" - ], - "Output Answer": [ - "70" - ], - "split": "dev" - }, - { - "Input": "raman mixed 48 kg of butter at rs . 150 per kg with 36 kg butter at the rate of rs . 125 per kg . at what price per kg should he sell the mixture to make a profit of 40 % in the transaction ?", - "Output Program": [ - "n0 = 48.0\nn1 = 150.0\nn2 = 36.0\nn3 = 125.0\nn4 = 40.0\nt0 = n0 + n2\nt1 = n4 / 100.0\nt2 = n0 * n1\nt3 = n2 * n3\nt4 = t2 + t3\nt5 = t4 / t0\nt6 = t5 * t1\nanswer = t5 + t6\nprint(answer)" - ], - "Output Answer": [ - "195" - ], - "split": "dev" - }, - { - "Input": "in a certain pond , 50 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 8 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?", - "Output Program": [ - "n0 = 50.0\nn1 = 50.0\nn2 = 8.0\nt0 = n2 / n1\nanswer = n0 / t0\nprint(answer)" - ], - "Output Answer": [ - "312.5" - ], - "split": "dev" - }, - { - "Input": "what quantity of water should taken out to concentrate 27 liters of 40 % acidic liquid to 60 % acidic liquid ?", - "Output Program": [ - "n0 = 27.0\nn1 = 40.0\nn2 = 60.0\nt0 = n0 * n1\nt1 = t0 / n2\nanswer = n0 - t1\nprint(answer)" - ], - "Output Answer": [ - "9" - ], - "split": "dev" - }, - { - "Input": "a certain sum is invested at simple interest at 18 % p . a . for two years instead of investing at 12 % p . a . for the same time period . therefore the interest received is more by rs . 840 . find the sum ?", - "Output Program": [ - "n0 = 18.0\nn1 = 12.0\nn2 = 840.0\nt0 = n0 - n1\nt1 = t0 * 2.0\nt2 = t1 / 100.0\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "7000" - ], - "split": "dev" - }, - { - "Input": "in an election between two candidates , one got 60 % of the total valid votes , 30 % of the votes were invalid . if the total number of votes was 9000 , the number of valid votes that the other candidate got , was :", - "Output Program": [ - "n0 = 60.0\nn1 = 30.0\nn2 = 9000.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t2 * t3\nanswer = n2 * t4\nprint(answer)" - ], - "Output Answer": [ - "2519.9999999999995" - ], - "split": "dev" - }, - { - "Input": "on a certain road , 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but 20 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on that road exceed the posted speed limit ?", - "Output Program": [ - "n0 = 10.0\nn1 = 20.0\nt0 = 100.0 - n1\nt1 = n0 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12.5" - ], - "split": "dev" - }, - { - "Input": "a man took a loan at rate of 12 % per annum simple interest . after 3 years he had to pay 7200 interest . the principal amount borrowed by him was .", - "Output Program": [ - "n0 = 12.0\nn1 = 3.0\nn2 = 7200.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "20000" - ], - "split": "dev" - }, - { - "Input": "i had rs . 10000 with me . out of this , money i lent some money to a for 2 years at 15 % simple interest . i lent the remaining money to b for an equal number of years at 18 % simple interest . after 2 years , i found that a had given me rs . 360 more as interest as compared to ( b ) the amount of money which i had lent to b must have been", - "Output Program": [ - "n0 = 10000.0\nn1 = 2.0\nn2 = 15.0\nn3 = 18.0\nn4 = 2.0\nn5 = 360.0\nt0 = n1 * n2\nt1 = n1 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 + t3\nt5 = n0 * t2\nt6 = t5 - n5\nanswer = t6 / t4\nprint(answer)" - ], - "Output Answer": [ - "4000.0000000000005" - ], - "split": "dev" - }, - { - "Input": "a sum of $ 800 amounts to $ 920 in 3 years at simple interest . if the interest rate is increased by 3 % it would amount to how much ?", - "Output Program": [ - "n0 = 800.0\nn1 = 920.0\nn2 = 3.0\nn3 = 3.0\nt0 = n1 - n0\nt1 = t0 / n2\nt2 = t1 * 100.0\nt3 = t2 / n0\nt4 = n2 + t3\nt5 = t4 / 100.0\nt6 = n0 * t5\nt7 = n2 * t6\nanswer = n0 + t7\nprint(answer)" - ], - "Output Answer": [ - "992" - ], - "split": "dev" - }, - { - "Input": "reema took a loan of rs 900 with simple interest for as many years as the rate of interest . if she paid rs . 729 as interest at the end of the loan period , what was the rate of interest .", - "Output Program": [ - "import math\nn0 = 900.0\nn1 = 729.0\nt0 = n0 / 100.0\nt1 = n1 / t0\nanswer = math.sqrt(max(0, t1))\nprint(answer)" - ], - "Output Answer": [ - "9" - ], - "split": "dev" - }, - { - "Input": "if an investor puts $ 800 in a savings account that earns 10 percent annual interest compounded semiannually , how much money will be in the account after one year ?", - "Output Program": [ - "n0 = 800.0\nn1 = 10.0\nt0 = n1 / 2.0\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nt3 = t2**min(2.0, 5)\nanswer = n0 * t3\nprint(answer)" - ], - "Output Answer": [ - "882" - ], - "split": "dev" - }, - { - "Input": "in an election between two candidates , one got 55 % of the total valid votes . 20 % of the votes were invalid . if the total number of votes was 7500 , what was the number of valid votes that the other candidate got ?", - "Output Program": [ - "n0 = 55.0\nn1 = 20.0\nn2 = 7500.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t2 * t3\nanswer = n2 * t4\nprint(answer)" - ], - "Output Answer": [ - "2700" - ], - "split": "dev" - }, - { - "Input": "indu gave bindu rs . 625 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?", - "Output Program": [ - "n0 = 625.0\nn1 = 2.0\nn2 = 4.0\nn3 = 2.0\nn4 = 4.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = n0 * t0\nt3 = n1 * t2\nt4 = t1**min(n1, 5)\nt5 = n0 * t4\nt6 = t5 - n0\nanswer = t6 - t3\nprint(answer)" - ], - "Output Answer": [ - "1.0000000000001137" - ], - "split": "dev" - }, - { - "Input": "the market value of a certain machine decreased by 10 percent of its purchase price each year . if the machine was purchased in 1982 for its market value of $ 8000 , what was its market value two years later ?", - "Output Program": [ - "n0 = 10.0\nn1 = 1982.0\nn2 = 8000.0\nt0 = n0 / 100.0\nt1 = 10.0 * 100.0\nt2 = 2.0 * 4.0\nt3 = t1 * t2\nt4 = t0 * 2.0\nt5 = t3 * t4\nanswer = t3 - t5\nprint(answer)" - ], - "Output Answer": [ - "6400" - ], - "split": "dev" - }, - { - "Input": "a store sells chairs and tables . if the price of 2 chairs and 1 table is 60 % of the price of 1 chair and 2 tables , and the price of 1 table and 1 chair is $ 64 , what is the price , in dollars , of 1 table ? ( assume that every chair has the same price and every table has the same price . )", - "Output Program": [ - "n0 = 2.0\nn1 = 1.0\nn2 = 60.0\nn3 = 1.0\nn4 = 2.0\nn5 = 1.0\nn6 = 1.0\nn7 = 64.0\nn8 = 1.0\nt0 = n2 / 100.0\nt1 = n7 * n0\nt2 = t0 + n1\nt3 = n7 * t0\nt4 = t1 - t3\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "55.99999999999999" - ], - "split": "dev" - }, - { - "Input": "in an election between the two candidates , the candidates who gets 60 % of votes polled is wined by 280 votes majority . what is the total number of votes polled ?", - "Output Program": [ - "n0 = 60.0\nn1 = 280.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nt2 = n0 - t1\nanswer = t0 / t2\nprint(answer)" - ], - "Output Answer": [ - "1400" - ], - "split": "dev" - }, - { - "Input": "on increasing the price of t . v . sets by 40 % , their sale decreases by 20 % . what is the effect on the revenue receipts of the shop ?", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t2 + 100.0\nanswer = t0 - t3\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "dev" - }, - { - "Input": "a 10 % stock yields 8 % . the market value of the stock is :", - "Output Program": [ - "n0 = 10.0\nn1 = 8.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "125" - ], - "split": "dev" - }, - { - "Input": "a certain sum is invested at simple interest at 18 % p . a . for two years instead of investing at 12 % p . a . for the same time period . therefore the interest received is more by rs . 300 . find the sum ?", - "Output Program": [ - "n0 = 18.0\nn1 = 12.0\nn2 = 300.0\nt0 = n0 - n1\nt1 = t0 * 2.0\nt2 = t1 / 100.0\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "2500" - ], - "split": "dev" - }, - { - "Input": "a glass was filled with 10 ounces of water , and 0.03 ounce of the water evaporated each day during a 20 - day period . what percent of the original amount of water evaporated during this period ?", - "Output Program": [ - "n0 = 10.0\nn1 = 0.03\nn2 = 20.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "dev" - }, - { - "Input": "if the simple interest on a sum of money for 2 years at 5 % per annum is rs . 52 , what is the compound interest on the same sum at the rate and for the same time ?", - "Output Program": [ - "n0 = 2.0\nn1 = 5.0\nn2 = 52.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n2 / t1\nt3 = n1 * t2\nt4 = t3 / 100.0\nt5 = t4 + t2\nt6 = n1 * t5\nt7 = t6 / 100.0\nt8 = t5 + t7\nanswer = t8 - t2\nprint(answer)" - ], - "Output Answer": [ - "53.299999999999955" - ], - "split": "dev" - }, - { - "Input": "a shopkeeper sold an book offering a discount of 5 % and earned a profit of 23.5 % . what would have been the percentage of profit earned if no discount was offered ?", - "Output Program": [ - "n0 = 5.0\nn1 = 23.5\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "130" - ], - "split": "dev" - }, - { - "Input": "last year sandy saved 10 % of her annual salary . this year , she made 10 % more money than last year , and she saved 6 % of her salary . the amount saved this year was what percent of the amount she saved last year ?", - "Output Program": [ - "n0 = 10.0\nn1 = 10.0\nn2 = 6.0\nt0 = n1 + 100.0\nt1 = n2 / 100.0\nt2 = n0 * 100.0\nt3 = t2 / 100.0\nt4 = t0 * t1\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "65.99999999999999" - ], - "split": "dev" - }, - { - "Input": "one fourth of a solution that was 8 % sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight . the second solution was what percent sugar by weight ?", - "Output Program": [ - "n0 = 8.0\nn1 = 16.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 / 4.0\nt3 = t0 * 100.0\nt4 = t2 * 100.0\nt5 = 100.0 - t4\nt6 = t1 * t5\nt7 = t3 - t6\nt8 = t7 / t4\nanswer = t8 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "dev" - }, - { - "Input": "a 340 - liter solution of kola is made from 88 % water , 5 % concentrated kola and the rest is made from sugar . if 3.2 liters of sugar , 10 liter of water and 6.8 liters of concentrated kola were added to the solution , what percent of the solution is made from sugar ?", - "Output Program": [ - "n0 = 340.0\nn1 = 88.0\nn2 = 5.0\nn3 = 3.2\nn4 = 10.0\nn5 = 6.8\nt0 = n0 + n3\nt1 = n1 / 100.0\nt2 = n2 / 100.0\nt3 = n4 + t0\nt4 = n0 * t1\nt5 = n0 * t2\nt6 = n5 + t3\nt7 = n0 - t4\nt8 = t7 - t5\nt9 = n3 + t8\nt10 = t9 / t6\nanswer = t10 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "7.500000000000003" - ], - "split": "dev" - }, - { - "Input": "an empty wooden vessel weighs 8 % of its total weight when filled with paint . if the weight of a partially filled vessel is one half that of a completely filled vessel , what fraction of the vessel is filled .", - "Output Program": [ - "n0 = 8.0\nt0 = n0 / 2.0\nt1 = n0 - 1.0\nt2 = t0 - 1.0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.42857142857142855" - ], - "split": "dev" - }, - { - "Input": "if $ 5,000 is invested in an account that earns 4 % interest compounded semi - annually , then the interest earned after one year would be how much greater than if the $ 5,000 had been invested at 8 % simple yearly interest ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 4.0\nn2 = 5000.0\nn3 = 8.0\n\nanswer = n1 * 1.0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "dev" - }, - { - "Input": "if a sum of money doubles itself in 25 years at simple interest , the ratepercent per annum is", - "Output Program": [ - "n0 = 25.0\nt0 = n0 / 100.0\nt1 = 2.0 / t0\nanswer = t1 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "dev" - }, - { - "Input": "a company pays 12.5 % dividend to its investors . if an investor buys rs . 60 shares and gets 25 % on investment , at what price did the investor buy the shares ?", - "Output Program": [ - "n0 = 12.5\nn1 = 60.0\nn2 = 25.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = t1 * 100.0\nanswer = t2 / n2\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "dev" - }, - { - "Input": "at what rate percent per annum will a sum of money double in 6 years .", - "Output Program": [ - "n0 = 6.0\n\nanswer = 100.0 / n0\nprint(answer)" - ], - "Output Answer": [ - "16.666666666666668" - ], - "split": "dev" - }, - { - "Input": "a certain company \u2019 s profit in 1996 was 15 percent greater than its profit in 1995 , and its profit in 1997 was 20 percent greater than its profit in 1996 . the company \u2019 s profit in 1997 was what percent greater than its profit in 1995 ?", - "Output Program": [ - "n0 = 1996.0\nn1 = 15.0\nn2 = 1995.0\nn3 = 1997.0\nn4 = 20.0\nn5 = 1996.0\nn6 = 1997.0\nn7 = 1995.0\nt0 = n4 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "37.999999999999986" - ], - "split": "dev" - }, - { - "Input": "the price of a book is increased from $ 300 to $ 330 . what is the % of increase in its price ?", - "Output Program": [ - "n0 = 300.0\nn1 = 330.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "dev" - }, - { - "Input": "from the sale of sleeping bags , a retailer made a gross profit of 16 % of the wholesale cost . if each sleeping bag was sold for $ 28 , what was the wholesale cost per bag ?", - "Output Program": [ - "n0 = 16.0\nn1 = 28.0\nt0 = n0 + 100.0\nt1 = n1 * 100.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "24.137931034482758" - ], - "split": "dev" - }, - { - "Input": "running at the same constant rate , 6 identical machines can produce a total of 240 bottles per minute . at this rate , how many bottles could 10 such machines produce in 4 minutes ?", - "Output Program": [ - "n0 = 6.0\nn1 = 240.0\nn2 = 10.0\nn3 = 4.0\nt0 = n1 / n0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "1600" - ], - "split": "dev" - }, - { - "Input": "by selling 20 pencils for a rupee a man loses 30 % . how many for a rupee should he sell in order to gain 30 % ?", - "Output Program": [ - "n0 = 20.0\nn1 = 30.0\nn2 = 30.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = 1.0 / t1\nt3 = t0 * t2\nt4 = 1.0 / t3\nanswer = n0 * t4\nprint(answer)" - ], - "Output Answer": [ - "10.76923076923077" - ], - "split": "dev" - }, - { - "Input": "a man buys 60 pens at marked price of 46 pens from a whole seller . if he sells these pens giving a discount of 1 % , what is the profit percent ?", - "Output Program": [ - "n0 = 60.0\nn1 = 46.0\nn2 = 1.0\nt0 = n1 * 100.0\nt1 = 100.0 - n2\nt2 = n0 * t1\nt3 = t2 - t0\nt4 = t3 / t0\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "29.130434782608695" - ], - "split": "dev" - }, - { - "Input": "a sells a bicycle to b and makes a profit of 25 % . b sells the same bicycle to c at a profit of 25 % . if the final s . p . of the bicycle was rs . 225 , find out the cost price of the bicycle for a .", - "Output Program": [ - "n0 = 25.0\nn1 = 25.0\nn2 = 225.0\nt0 = n1 + 100.0\nt1 = n0 + 100.0\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = n2 / t2\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "144" - ], - "split": "dev" - }, - { - "Input": "what is the rate percent when the simple interest on rs . 800 amount to rs . 160 in 5 years ?", - "Output Program": [ - "n0 = 800.0\nn1 = 160.0\nn2 = 5.0\nt0 = n1 * 100.0\nt1 = n0 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "dev" - }, - { - "Input": "a , b and c enter into a partnership by investing $ 7000 , $ 11000 and $ 18000 respectively . at the end of 8 months , b receives $ 880 as his share . find the share of a .", - "Output Program": [ - "n0 = 7000.0\nn1 = 11000.0\nn2 = 18000.0\nn3 = 8.0\nn4 = 880.0\nt0 = n1 * n3\nt1 = t0 / 100.0\nt2 = n4 / t1\nt3 = n0 * t2\nt4 = n3 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "560" - ], - "split": "dev" - }, - { - "Input": "a bowl of fruit contains 14 apples and 21 oranges . how many oranges must be removed so that 70 % of the pieces of fruit in the bowl will be apples ?", - "Output Program": [ - "n0 = 14.0\nn1 = 21.0\nn2 = 70.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = t0 * t1\nt3 = t2 - n0\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "15.000000000000002" - ], - "split": "dev" - }, - { - "Input": "after decreasing 24 % in the price of an article costs rs . 684 . find the actual cost of an article ?", - "Output Program": [ - "n0 = 24.0\nn1 = 684.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "900" - ], - "split": "dev" - }, - { - "Input": "ritesh and co . generated revenue of rs . 1,600 in 2006 . this was 12.5 % of its gross revenue . in 2007 , the gross revenue grew by rs . 2,500 . what is the percentage increase in the revenue in 2007 ?", - "Output Program": [ - "n0 = 1600.0\nn1 = 2006.0\nn2 = 12.5\nn3 = 2007.0\nn4 = 2500.0\nn5 = 2007.0\nt0 = 1.0 + 4.0\nt1 = 2.0 + 4.0\nt2 = n2 / 100.0\nt3 = t0 * 2.0\nt4 = t0 * 100.0\nt5 = t1 * 100.0\nt6 = t3 * 100.0\nt7 = t6 + t5\nt8 = t6 * 2.0\nt9 = t8 + t4\nt10 = t7 / t2\nt11 = t9 / t10\nanswer = t11 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "19.53125" - ], - "split": "dev" - }, - { - "Input": "indu gave bindu rs . 1875 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?", - "Output Program": [ - "n0 = 1875.0\nn1 = 2.0\nn2 = 4.0\nn3 = 2.0\nn4 = 4.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = n0 * t0\nt3 = n1 * t2\nt4 = t1**min(n1, 5)\nt5 = n0 * t4\nt6 = t5 - n0\nanswer = t6 - t3\nprint(answer)" - ], - "Output Answer": [ - "3.0000000000002274" - ], - "split": "dev" - }, - { - "Input": "john makes $ 60 a week from his job . he earns a raise andnow makes $ 78 a week . what is the % increase ?", - "Output Program": [ - "n0 = 60.0\nn1 = 78.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "dev" - }, - { - "Input": "if a speaks the truth 55 % of the times , b speaks the truth 60 % of the times . what is the probability that they tell the truth at the same time", - "Output Program": [ - "n0 = 55.0\nn1 = 60.0\nt0 = 4.0 * 5.0\nt1 = t0 * 5.0\nt2 = n0 / t1\nt3 = n1 / t1\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "0.33" - ], - "split": "dev" - }, - { - "Input": "the salary of a person was reduced by 25 % . by what percent should his reduced salary be raised so as to bring it at par with his original salary ?", - "Output Program": [ - "n0 = 25.0\nt0 = n0 / 100.0\nt1 = t0 * 100.0\nt2 = 100.0 - t1\nt3 = t1 / t2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "dev" - }, - { - "Input": "a cycle is bought for rs . 900 and sold for rs . 1080 , find the gain percent ?", - "Output Program": [ - "n0 = 900.0\nn1 = 1080.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "dev" - }, - { - "Input": "what is the normal price of an article sold at $ 72 after two successive discounts of 10 % and 20 % ?", - "Output Program": [ - "n0 = 72.0\nn1 = 10.0\nn2 = 20.0\nt0 = 100.0 - n1\nt1 = 100.0 - n2\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 * t3\nanswer = n0 / t4\nprint(answer)" - ], - "Output Answer": [ - "99.99999999999999" - ], - "split": "dev" - }, - { - "Input": "the owner of a furniture shop charges his customer 25 % more than the cost price . if a customer paid rs . 1000 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 25.0\nn1 = 1000.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "dev" - }, - { - "Input": "john makes $ 60 a week from his job . he earns a raise and now makes $ 100 a week . what is the % increase ?", - "Output Program": [ - "n0 = 60.0\nn1 = 100.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "66.66666666666666" - ], - "split": "dev" - }, - { - "Input": "the present population of a town is 2000 . population increase rate is 20 % p . a . find the population of town after 1 years ?", - "Output Program": [ - "n0 = 2000.0\nn1 = 20.0\nn2 = 1.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "2400" - ], - "split": "dev" - }, - { - "Input": "by selling an article for $ 195 , a person gains $ 45 . what is the gain % ?", - "Output Program": [ - "n0 = 195.0\nn1 = 45.0\nt0 = n1 * 100.0\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "dev" - }, - { - "Input": "by selling an article at rs . 600 , a profit of 60 % is made . find its cost price ?", - "Output Program": [ - "n0 = 600.0\nn1 = 60.0\nt0 = n1 + 100.0\nt1 = n0 * 100.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "375" - ], - "split": "dev" - }, - { - "Input": "the cost price of an book is 64 % of the marked price . calculate the gain percent after allowing a discount of 12 % ?", - "Output Program": [ - "n0 = 64.0\nn1 = 12.0\nt0 = 100.0 / n0\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nt3 = t0 * t2\nt4 = t3 - 1.0\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "37.5" - ], - "split": "dev" - }, - { - "Input": "a sum fetched a total simple interest of rs . 929.20 at the rate of 8 p . c . p . a . in 5 years . what is the sum ?", - "Output Program": [ - "n0 = 929.2\nn1 = 8.0\nn2 = 5.0\nt0 = n0 * 100.0\nt1 = t0 / n1\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "2323" - ], - "split": "dev" - }, - { - "Input": "? % of 360 = 151.2", - "Output Program": [ - "n0 = 360.0\nn1 = 151.2\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "41.99999999999999" - ], - "split": "dev" - }, - { - "Input": "if a man lost 10 % by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44 % ?", - "Output Program": [ - "n0 = 10.0\nn1 = 12.0\nn2 = 44.0\nt0 = n2 + 100.0\nt1 = 100.0 - n0\nt2 = n1 * t1\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "7.5" - ], - "split": "dev" - }, - { - "Input": "the price of a coat in a certain store is $ 500 . if the price of the coat is to be reduced by $ 400 , by what percent is the price to be reduced ?", - "Output Program": [ - "n0 = 500.0\nn1 = 400.0\nt0 = n1 / n0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "dev" - }, - { - "Input": "boy sells a book for rs . 540 he gets a loss of 10 % , to gain 10 % , what should be the sp ?", - "Output Program": [ - "n0 = 540.0\nn1 = 10.0\nn2 = 10.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = 1.0 - t0\nt3 = n0 / t2\nt4 = t3 * t1\nanswer = t3 + t4\nprint(answer)" - ], - "Output Answer": [ - "660" - ], - "split": "dev" - }, - { - "Input": "in an election between the two candidates , the candidates who gets 70 % of votes polled is winned by 280 vote \u2019 s majority . what is the total number of votes polled ?", - "Output Program": [ - "n0 = 70.0\nn1 = 280.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nt2 = n0 - t1\nanswer = t0 / t2\nprint(answer)" - ], - "Output Answer": [ - "700" - ], - "split": "dev" - }, - { - "Input": "a dishonest dealer professes to sell goods at the cost price but uses a weight of 990 grams per kg , what is his percent ?", - "Output Program": [ - "n0 = 990.0\nt0 = 2.0 + 3.0\nt1 = 100.0 / n0\nt2 = t0 * 2.0\nt3 = t2 * 100.0\nt4 = t1 * t3\nanswer = t4 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "1.0101010101010104" - ], - "split": "dev" - }, - { - "Input": "a solution contains 8 parts of water for every 7 parts of lemonade syrup . how many parts of the solution should be removed and replaced with water so that the solution will now contain 25 % lemonade syrup ?", - "Output Program": [ - "n0 = 8.0\nn1 = 7.0\nn2 = 25.0\nt0 = n0 + n1\nt1 = 2.0 + 3.0\nt2 = n1 / t0\nt3 = 2.0 / t1\nt4 = t2 - t3\nt5 = t4 / t2\nanswer = t0 * t5\nprint(answer)" - ], - "Output Answer": [ - "2.1428571428571423" - ], - "split": "dev" - }, - { - "Input": "there are 50 students in a class . if 14 % are absent on a particular day , find the number of students present in the class .", - "Output Program": [ - "n0 = 50.0\nn1 = 14.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nanswer = t1 * n0\nprint(answer)" - ], - "Output Answer": [ - "43" - ], - "split": "dev" - }, - { - "Input": "calculate how long it will take a swimmer to swim a distance of 12 km against the current of a river which flows at 1.2 km / hr , given that he can swim in still water at 5 km / h", - "Output Program": [ - "n0 = 12.0\nn1 = 1.2\nn2 = 5.0\nt0 = n2 - n1\nanswer = n0 / t0\nprint(answer)" - ], - "Output Answer": [ - "3.1578947368421053" - ], - "split": "dev" - }, - { - "Input": "if 20 % of a number = 300 , then 120 % of that number will be ?", - "Output Program": [ - "n0 = 20.0\nn1 = 300.0\nn2 = 120.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "1800" - ], - "split": "dev" - }, - { - "Input": "one type of liquid contains 10 % of water and the second type of liquid contains 15 % of water . a glass is filled with 5 parts of 1 st liquid and 2 parts of 2 nd liquid . the percentage of water in the new mixture in the glass is ?", - "Output Program": [ - "n0 = 10.0\nn1 = 15.0\nn2 = 5.0\nn3 = 1.0\nn4 = 2.0\nn5 = 2.0\nt0 = n2 + n4\nt1 = n0 * n2\nt2 = n1 * n4\nt3 = t1 / 100.0\nt4 = t2 / 100.0\nt5 = 100.0 / t0\nt6 = t3 + t4\nanswer = t6 * t5\nprint(answer)" - ], - "Output Answer": [ - "11.42857142857143" - ], - "split": "dev" - }, - { - "Input": "a dealer purchases 15 articles for rs . 25 and sells 12 articles for rs . 32 . find the profit percentage ?", - "Output Program": [ - "n0 = 15.0\nn1 = 25.0\nn2 = 12.0\nn3 = 32.0\nt0 = 1.0 + 4.0\nt1 = n1 * 4.0\nt2 = n3 * t0\nanswer = t2 - t1\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "dev" - }, - { - "Input": "a fraudulent dairy guy declares to market his dairy at price range but he combined it with water and therefore benefits 25 % . the percentage of water in the combination is :", - "Output Program": [ - "n0 = 25.0\nt0 = n0 + 100.0\nt1 = 100.0 / t0\nt2 = t1 * 100.0\nanswer = 100.0 - t2\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "dev" - }, - { - "Input": "john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price . if the final price was $ 17 , what was the price before the first discount ?", - "Output Program": [ - "n0 = 25.0\nn1 = 25.0\nn2 = 17.0\nt0 = 100.0 * 100.0\nt1 = 100.0 - n0\nt2 = n2 * t0\nt3 = t1 * 100.0\nt4 = n0 * t1\nt5 = t3 - t4\nanswer = t2 / t5\nprint(answer)" - ], - "Output Answer": [ - "30.22222222222222" - ], - "split": "dev" - }, - { - "Input": "if a trader sold two cars each at rs . 325475 and gains 15 % on the first and loses 15 % on the second , then his profit or loss percent on the whole is ?", - "Output Program": [ - "n0 = 325475.0\nn1 = 15.0\nn2 = 15.0\nt0 = n1 * n1\nanswer = t0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "2.25" - ], - "split": "dev" - }, - { - "Input": "a sum fetched a total simple interest of rs . 4016.25 at the rate of 1 % p . a . in 9 years . what is the sum ?", - "Output Program": [ - "n0 = 4016.25\nn1 = 1.0\nn2 = 9.0\nt0 = n0 * 100.0\nt1 = t0 / n1\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "44625" - ], - "split": "dev" - }, - { - "Input": "if a man lost 4 % by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44 % ?", - "Output Program": [ - "n0 = 4.0\nn1 = 12.0\nn2 = 44.0\nt0 = n2 + 100.0\nt1 = 100.0 - n0\nt2 = n1 * t1\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "dev" - }, - { - "Input": "an empty fuel tank is filled with brand z gasoline . when the tank is 1 / 4 empty , it is filled with brand y gasoline . when the tank is half empty again , it is filled with brand z gasoline . when the tank is half empty again , it is filled with brand y gasoline . at this time , what percent of the gasoline in the tank is brand z ?", - "Output Program": [ - "n0 = 1.0\nn1 = 4.0\nt0 = n0 / n1\nt1 = t0 * 100.0\nt2 = 100.0 - t1\nt3 = t2 / 2.0\nt4 = 100.0 - t3\nanswer = t4 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "31.25" - ], - "split": "dev" - }, - { - "Input": "in an election , candidate a got 55 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favor of candidate ?", - "Output Program": [ - "n0 = 55.0\nn1 = 15.0\nn2 = 560000.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = 1.0 - t1\nt3 = n2 * t2\nanswer = t0 * t3\nprint(answer)" - ], - "Output Answer": [ - "261800.00000000003" - ], - "split": "dev" - }, - { - "Input": "an escalator moves towards the top level at the rate of 12 ft . sec and its length is 196 feet . if a person walks on the moving escalator at the rate of 2 feet per second towards the top level , how much time does he take to cover the entire length .", - "Output Program": [ - "n0 = 12.0\nn1 = 196.0\nn2 = 2.0\nt0 = n0 + n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "14" - ], - "split": "dev" - }, - { - "Input": "a sum of rs . 2730 is lent into two parts so that the interest on the first part for 8 years at 3 % per annum may be equal to the interest on the second part for 3 years at 5 % per annum . find the second sum ?", - "Output Program": [ - "n0 = 2730.0\nn1 = 8.0\nn2 = 3.0\nn3 = 3.0\nn4 = 5.0\nt0 = n2 * n4\nt1 = n1 * n2\nt2 = t0 + t1\nt3 = n0 * t0\nt4 = t3 / t2\nanswer = n0 - t4\nprint(answer)" - ], - "Output Answer": [ - "1680" - ], - "split": "dev" - }, - { - "Input": "during a certain season , a team won 75 percent of its first 100 games and 50 percent of its remaining games . if the team won 70 percent of its games for the entire season , what was the total number of games that the team played ?", - "Output Program": [ - "n0 = 75.0\nn1 = 100.0\nn2 = 50.0\nn3 = 70.0\nt0 = n3 / 100.0\nt1 = n2 / 100.0\nt2 = n0 - n3\nt3 = t0 - t1\nt4 = t2 / t3\nanswer = n1 + t4\nprint(answer)" - ], - "Output Answer": [ - "125" - ], - "split": "dev" - }, - { - "Input": "a group of students was interviewed for that if it was asked whether or not they speak french and / or english . among those who speak french , 25 speak english well , while 65 of them do not speak english . if 55 % of students do not speak french , how many students were surveyed ?", - "Output Program": [ - "n0 = 25.0\nn1 = 65.0\nn2 = 55.0\nt0 = n0 + n1\nt1 = 100.0 - n2\nt2 = t1 / 100.0\nanswer = t0 / t2\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "dev" - }, - { - "Input": "find the simple interest on rs . 69,000 at 16 2 / 3 % per year for 9 months .", - "Output Program": [ - "n0 = 69000.0\nn1 = 16.0\nn2 = 2.0\nn3 = 3.0\nn4 = 9.0\nt0 = 2.0 + 3.0\nt1 = 1.0 / 100.0\nt2 = 3.0 * 3.0\nt3 = 2.0 * 3.0\nt4 = n1 * n3\nt5 = n2 + t4\nt6 = n2 * t3\nt7 = t3 * 100.0\nt8 = t2 * 100.0\nt9 = t0 * 2.0\nt10 = t2 / t6\nt11 = t5 / n3\nt12 = t7 * 100.0\nt13 = t8 * t9\nt14 = t12 + t13\nt15 = t14 * t11\nt16 = t10 * t15\nanswer = t1 * t16\nprint(answer)" - ], - "Output Answer": [ - "8625" - ], - "split": "dev" - }, - { - "Input": "an empty fuel tank is filled with brand z gasoline . when the tank is 3 / 4 empty , it is filled with brand y gasoline . when the tank is half empty again , it is filled with brand z gasoline . when the tank is half empty again , it is filled with brand y gasoline . at this time , what percent of the gasoline in the tank is brand z ?", - "Output Program": [ - "n0 = 3.0\nn1 = 4.0\nt0 = n0 / n1\nt1 = t0 * 100.0\nt2 = 100.0 - t1\nt3 = t2 / 2.0\nt4 = 100.0 - t3\nanswer = t4 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "43.75" - ], - "split": "dev" - }, - { - "Input": "peter invests a sum of money and gets back an amount of $ 815 in 3 years . david invests an equal amount of money and gets an amount of $ 850 in 4 years . if both amounts were invested at the same rate ( simple interest ) what was the sum of money invested ?", - "Output Program": [ - "n0 = 815.0\nn1 = 3.0\nn2 = 850.0\nn3 = 4.0\nt0 = n3 / 100.0\nt1 = n1 / 100.0\nt2 = n2 - n0\nt3 = t0 - t1\nt4 = t2 / t3\nt5 = t4 * t1\nanswer = n0 - t5\nprint(answer)" - ], - "Output Answer": [ - "710" - ], - "split": "dev" - }, - { - "Input": "a man buys an item at rs . 1200 and sells it at the loss of 20 percent . then what is the selling price of that item", - "Output Program": [ - "n0 = 1200.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "960" - ], - "split": "dev" - }, - { - "Input": "a student got 70 % in one subject , 80 % in other . to get overall 75 % how much he should get in third subject .", - "Output Program": [ - "n0 = 70.0\nn1 = 80.0\nn2 = 75.0\nt0 = n0 + n1\nt1 = n2 + t0\nanswer = t1 / 3.0\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "dev" - }, - { - "Input": "a person distributed 10 % of his income to his 2 children each . he deposited 20 % of his income to his wife ' s account . he donated 10 % of remaining amount to an orphan house . finally he has $ 500 . find his total income ?", - "Output Program": [ - "n0 = 10.0\nn1 = 2.0\nn2 = 20.0\nn3 = 10.0\nn4 = 500.0\nt0 = n0 * n1\nt1 = n2 + t0\nt2 = n3 + t1\nt3 = 100.0 - t2\nt4 = n4 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "dev" - }, - { - "Input": "if the simple interest on a sum of money for 2 years at 5 % per annum is rs . 50 , what is the compound interest on the same sum at the rate and for the same time ?", - "Output Program": [ - "n0 = 2.0\nn1 = 5.0\nn2 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n2 / t1\nt3 = n1 * t2\nt4 = t3 / 100.0\nt5 = t4 + t2\nt6 = n1 * t5\nt7 = t6 / 100.0\nt8 = t5 + t7\nanswer = t8 - t2\nprint(answer)" - ], - "Output Answer": [ - "51.25" - ], - "split": "dev" - }, - { - "Input": "a shopkeeper has 280 kg of apples . he sells 40 % of these at 30 % profit and remaining 60 % at 30 % profit . find his % profit on total .", - "Output Program": [ - "n0 = 280.0\nn1 = 40.0\nn2 = 30.0\nn3 = 60.0\nn4 = 30.0\nt0 = n2 + 100.0\nt1 = n4 + 100.0\nt2 = n0 * n1\nt3 = n0 * n3\nt4 = t2 / 100.0\nt5 = t0 / 100.0\nt6 = t3 / 100.0\nt7 = t1 / 100.0\nt8 = t4 * t5\nt9 = t6 * t7\nt10 = t8 + t9\nt11 = t10 - n0\nt12 = t11 * 100.0\nanswer = t12 / n0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "dev" - }, - { - "Input": "in country z , 12 % of the people do not have a university diploma but have the job of their choice , and 25 % of the people who do not have the job of their choice have a university diploma . if 40 % of the people have the job of their choice , what percent of the people have a university diploma ?", - "Output Program": [ - "n0 = 12.0\nn1 = 25.0\nn2 = 40.0\nt0 = 100.0 - n2\nt1 = n2 - n0\nt2 = n1 * t0\nt3 = t2 / 100.0\nanswer = t3 + t1\nprint(answer)" - ], - "Output Answer": [ - "43" - ], - "split": "dev" - }, - { - "Input": "in a village of 2,500 people , 800 people are over 70 years old and 850 people are female . it is known that 40 percent of the females are younger than 70 years old . if no one in the village is 70 years old , what is the probability that a person chosen at random is either a male or younger than 70 years old ?", - "Output Program": [ - "n0 = 2500.0\nn1 = 800.0\nn2 = 70.0\nn3 = 850.0\nn4 = 40.0\nn5 = 70.0\nn6 = 70.0\nn7 = 70.0\nt0 = 5.0 * 5.0\nt1 = t0 / 0.25\nt2 = n4 / t1\nt3 = t1 * 26.0\nt4 = 1.0 - t2\nt5 = n3 * t4\nt6 = t3 - t5\nanswer = t6 / t3\nprint(answer)" - ], - "Output Answer": [ - "0.8038461538461539" - ], - "split": "dev" - }, - { - "Input": "a cycle is bought for rs . 900 and sold for rs . 1170 , find the gain percent ?", - "Output Program": [ - "n0 = 900.0\nn1 = 1170.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "dev" - }, - { - "Input": "in the manufacture of a certain product , 5 percent of the units produced are defective and 4 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?", - "Output Program": [ - "n0 = 5.0\nn1 = 4.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "0.2" - ], - "split": "dev" - }, - { - "Input": "if the personal income tax rate is lowered from 46 % to 32 % , what is the differential savings for a tax payer having an annual income before tax to the tune of $ 36000 ?", - "Output Program": [ - "n0 = 46.0\nn1 = 32.0\nn2 = 36000.0\nt0 = n2 / 100.0\nt1 = n0 - n1\nanswer = t0 * t1\nprint(answer)" - ], - "Output Answer": [ - "5040" - ], - "split": "dev" - }, - { - "Input": "33 1 / 3 % of 36 ?", - "Output Program": [ - "n0 = 33.0\nn1 = 1.0\nn2 = 3.0\nn3 = 36.0\nt0 = n1 / n2\nt1 = n0 + t0\nt2 = n3 * t1\nanswer = t2 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "dev" - }, - { - "Input": "alfred buys an old scooter for $ 4700 and spends $ 600 on its repairs . if he sells the scooter for $ 5800 , his gain percent is ?", - "Output Program": [ - "n0 = 4700.0\nn1 = 600.0\nn2 = 5800.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "9.433962264150944" - ], - "split": "dev" - }, - { - "Input": "a person buys an article at rs . 400 . at what price should he sell the article so as to make a profit of 40 % ?", - "Output Program": [ - "n0 = 400.0\nn1 = 40.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "560" - ], - "split": "dev" - }, - { - "Input": "a 11 % stock yields 8 % . the market value of the stock is :", - "Output Program": [ - "n0 = 11.0\nn1 = 8.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "137.5" - ], - "split": "dev" - }, - { - "Input": "each of the cucumbers in 100 pounds of cucumbers is composed of 99 % water , by weight . after some of the water evaporates , the cucumbers are now 95 % water by weight . what is the new weight of the cucumbers , in pounds ?", - "Output Program": [ - "n0 = 100.0\nn1 = 99.0\nn2 = 95.0\nt0 = n0 - n1\nt1 = n0 - n2\nt2 = t0 / t1\nanswer = t2 * n0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "dev" - }, - { - "Input": "a customer went to a shop and paid a total of $ 40 , out of which $ 1.28 was for sales tax on taxable purchases . if the tax rate was 8 % , then what was the cost of the tax free items ?", - "Output Program": [ - "n0 = 40.0\nn1 = 1.28\nn2 = 8.0\nt0 = n2 * 2.0\nt1 = n0 - n1\nanswer = t1 - t0\nprint(answer)" - ], - "Output Answer": [ - "22.72" - ], - "split": "dev" - }, - { - "Input": "by selling an article for $ 225 a person gains $ 75 . what is the gain % ?", - "Output Program": [ - "n0 = 225.0\nn1 = 75.0\nt0 = n1 * 100.0\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "dev" - }, - { - "Input": "on a sum of money , the simple interest for 2 years is rs . 327 , while the compound interest is rs . 340 , the rate of interest being the same in both the cases . the rate of interest is", - "Output Program": [ - "n0 = 2.0\nn1 = 327.0\nn2 = 340.0\nt0 = n1 / n0\nt1 = n2 - t0\nt2 = t1 - t0\nt3 = t2 * 100.0\nanswer = t3 / t0\nprint(answer)" - ], - "Output Answer": [ - "7.951070336391437" - ], - "split": "dev" - }, - { - "Input": "in how many years rs 100 will produce the same interest at 5 % as rs . 200 produce in 2 years at 10 %", - "Output Program": [ - "n0 = 100.0\nn1 = 5.0\nn2 = 200.0\nn3 = 2.0\nn4 = 10.0\nt0 = n1 / 100.0\nt1 = n2 * n4\nt2 = t1 / 100.0\nt3 = n0 * t0\nt4 = n3 * t2\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "dev" - }, - { - "Input": "the profit obtained by selling an article for rs . 54 is the same as the loss obtained by selling it for rs . 40 . what is the cost price of the article ?", - "Output Program": [ - "n0 = 54.0\nn1 = 40.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "47" - ], - "split": "dev" - }, - { - "Input": "in the manufacture of a certain product , 8 percent of the units produced are defective and 5 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?", - "Output Program": [ - "n0 = 8.0\nn1 = 5.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "0.4" - ], - "split": "dev" - }, - { - "Input": "one night 17 percent of the female officers on a police force were on duty . if 204 police officers were on duty that night and half of these were female officers , how many female officers were on the police force ?", - "Output Program": [ - "n0 = 17.0\nn1 = 204.0\nt0 = n1 / 2.0\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "dev" - }, - { - "Input": "the workforce of company x is 60 % female . the company hired 24 additional male workers , and as a result , the percent of female workers dropped to 55 % . how many employees did the company have after hiring the additional male workers ?", - "Output Program": [ - "n0 = 60.0\nn1 = 24.0\nn2 = 55.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 * t0\nt3 = t1 - t0\nt4 = t2 / t3\nanswer = n1 + t4\nprint(answer)" - ], - "Output Answer": [ - "288.0000000000004" - ], - "split": "dev" - }, - { - "Input": "? % of 360 = 180", - "Output Program": [ - "n0 = 360.0\nn1 = 180.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "dev" - }, - { - "Input": "albert invested rs . 8000 in a scheme for 2 years at compound interest rate 5 % p . a . how much amount will albert get on maturity of the fixed deposit ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 2.0\nn2 = 5.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "8820" - ], - "split": "dev" - }, - { - "Input": "a person buys an article at $ 600 . at what price should he sell the article so as to make a profit of 8 % ?", - "Output Program": [ - "n0 = 600.0\nn1 = 8.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "648" - ], - "split": "dev" - }, - { - "Input": "a 440 - liter solution of kola is made from 88 % water , 8 % concentrated kola and the rest is made from sugar . if 3.2 liters of sugar , 10 liter of water and 6.8 liters of concentrated kola were added to the solution , what percent of the solution is made from sugar ?", - "Output Program": [ - "n0 = 440.0\nn1 = 88.0\nn2 = 8.0\nn3 = 3.2\nn4 = 10.0\nn5 = 6.8\nt0 = n0 + n3\nt1 = n1 / 100.0\nt2 = n2 / 100.0\nt3 = n4 + t0\nt4 = n0 * t1\nt5 = n0 * t2\nt6 = n5 + t3\nt7 = n0 - t4\nt8 = t7 - t5\nt9 = n3 + t8\nt10 = t9 / t6\nanswer = t10 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "4.521739130434784" - ], - "split": "dev" - }, - { - "Input": "a person borrows 20000 for 6 years at 8 % p . a . simple interest . he immediately lends it to another person at 9 % p . a . for 6 years . find his gain in the transaction per year .", - "Output Program": [ - "n0 = 20000.0\nn1 = 6.0\nn2 = 8.0\nn3 = 9.0\nn4 = 6.0\nt0 = 1.0 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "dev" - }, - { - "Input": "the price of a book is increased from $ 300 to $ 390 . what is the % of increase in its price ?", - "Output Program": [ - "n0 = 300.0\nn1 = 390.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "dev" - }, - { - "Input": "a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 80 percent of books that were loaned out are returned and there are 67 books in the special collection at that time , how many books of the special collection were loaned out during that month ?", - "Output Program": [ - "n0 = 75.0\nn1 = 80.0\nn2 = 67.0\nt0 = n1 / 100.0\nt1 = n0 - n2\nt2 = 1.0 - t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "40.00000000000001" - ], - "split": "dev" - }, - { - "Input": "in a school of 300 boys , 44 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?", - "Output Program": [ - "n0 = 300.0\nn1 = 44.0\nn2 = 28.0\nn3 = 10.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = 100.0 - t1\nt3 = n0 * t2\nanswer = t3 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "54" - ], - "split": "dev" - }, - { - "Input": "the salary of a typist was at first raised by 10 % and then the same was reduced by 5 % . if he presently draws rs . 4180 . what was his original salary ?", - "Output Program": [ - "n0 = 10.0\nn1 = 5.0\nn2 = 4180.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "4000.0000000000005" - ], - "split": "dev" - }, - { - "Input": "a fruit seller had some apples . he sells 50 % apples and still he has 5000 . originally he had how many apples ?", - "Output Program": [ - "n0 = 50.0\nn1 = 5000.0\n\nanswer = n1 * 100 / (100 + 1e-5 - n0) # original price before loss\nprint(answer)" - ], - "Output Answer": [ - "9999.9980000004" - ], - "split": "dev" - }, - { - "Input": "a 20 % stock yielding 12 % is quoted at :", - "Output Program": [ - "n0 = 20.0\nn1 = 12.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "166.66666666666669" - ], - "split": "dev" - }, - { - "Input": "a shopkeeper sells 600 metres of cloth for rs . 18000 at a loss of rs . 5 per metre . find his cost price for one metre of cloth ?", - "Output Program": [ - "n0 = 600.0\nn1 = 18000.0\nn2 = 5.0\nt0 = n1 / n0\nanswer = n2 + t0\nprint(answer)" - ], - "Output Answer": [ - "35" - ], - "split": "dev" - }, - { - "Input": "3 candidates in an election and received 1256 , 7636 and 11628 votes respectively . what % of the total votes did the winning candidate gotin that election ?", - "Output Program": [ - "n0 = 3.0\nn1 = 1256.0\nn2 = 7636.0\nn3 = 11628.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = n3 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "56.666666666666664" - ], - "split": "dev" - }, - { - "Input": "one - third of 1206 is what percent of 162 ?", - "Output Program": [ - "n0 = 1206.0\nn1 = 162.0\nt0 = n0 / 3.0\nt1 = t0 / n1\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "248.14814814814815" - ], - "split": "dev" - }, - { - "Input": "on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but 50 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on the road exceed the posted speed limit ?", - "Output Program": [ - "n0 = 10.0\nn1 = 50.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 * t1\nt3 = t2 * 100.0\nanswer = 100.0 / t3\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "dev" - }, - { - "Input": "a towel , when bleached , was found to have lost 20 % of its length and 10 % of its breadth . the percentage of decrease in area is", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 * t3\nt5 = 1.0 - t4\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "27.999999999999993" - ], - "split": "dev" - }, - { - "Input": "what is the rate percent when the simple interest on rs . 1600 amount to rs . 200 in 4 years ?", - "Output Program": [ - "n0 = 1600.0\nn1 = 200.0\nn2 = 4.0\nt0 = n1 * 100.0\nt1 = n0 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "3.125" - ], - "split": "dev" - }, - { - "Input": "if the simple interest on a certain sum of money for 2 years is one \u2013 fifth of the sum , then the rate of interest per annum is", - "Output Program": [ - "n0 = 2.0\nt0 = 1.0 + 4.0\nt1 = 100.0 / t0\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "dev" - }, - { - "Input": "the salary of a person was reduced by 28 % . by what percent should his reduced salary be raised so as to bring it at par with his original salary ?", - "Output Program": [ - "n0 = 28.0\nt0 = n0 / 100.0\nt1 = t0 * 100.0\nt2 = 100.0 - t1\nt3 = t1 / t2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "38.88888888888889" - ], - "split": "dev" - }, - { - "Input": "a baseball card decreased in value 40 % in its first year and 10 % in its second year . what was the total percent decrease of the card ' s value over the two years ?", - "Output Program": [ - "n0 = 40.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = t4 * 100.0\nanswer = 100.0 - t5\nprint(answer)" - ], - "Output Answer": [ - "46" - ], - "split": "dev" - }, - { - "Input": "if a lends rs . 3150 to b at 8 % per annum and b lends the same sum to c at 12.5 % per annum then the gain of b in a period of 2 years is ?", - "Output Program": [ - "n0 = 3150.0\nn1 = 8.0\nn2 = 12.5\nn3 = 2.0\nt0 = n0 * n2\nt1 = n0 * n1\nt2 = t0 * n3\nt3 = n3 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nanswer = t4 - t5\nprint(answer)" - ], - "Output Answer": [ - "283.5" - ], - "split": "dev" - }, - { - "Input": "50 % of a number is more than 40 % of 120 by 180 . find the number ?", - "Output Program": [ - "n0 = 50.0\nn1 = 40.0\nn2 = 120.0\nn3 = 180.0\nt0 = n1 * n2\nt1 = t0 / 100.0\nt2 = n3 + t1\nt3 = t2 * 100.0\nanswer = t3 / n0\nprint(answer)" - ], - "Output Answer": [ - "456" - ], - "split": "dev" - }, - { - "Input": "sheela deposits rs . 5000 in bank savings account . if this is 20 % of her monthly income . what is her monthly income in ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 20.0\nt0 = n0 * 100.0\nanswer = t0 / n1\nprint(answer)" - ], - "Output Answer": [ - "25000" - ], - "split": "dev" - }, - { - "Input": "in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the run rate in the remaining 50 overs to reach the target of 282 runs ?", - "Output Program": [ - "n0 = 10.0\nn1 = 3.2\nn2 = 50.0\nn3 = 282.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "dev" - }, - { - "Input": "an article is bought for rs . 1200 and sold for rs . 800 , find the loss percent ?", - "Output Program": [ - "n0 = 1200.0\nn1 = 800.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nanswer = 100.0 - t1\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "dev" - }, - { - "Input": "the charge for a single room at hotel p is 20 percent less than the charge for a single room at hotel r and 10 percent less than the charge for a single room at hotel g . the charge for a single room at hotel r is what percent greater than the charge for a single room at hotel g ?", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = t0 / t1\nt3 = t2 * 100.0\nt4 = 100.0 - t3\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12.500000000000004" - ], - "split": "dev" - }, - { - "Input": "a reduction of 20 % in the price of oil enables a house wife to obtain 4 kgs more for rs . 600 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 20.0\nn1 = 4.0\nn2 = 600.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "dev" - }, - { - "Input": "the banker \u00e2 \u20ac \u2122 s gain on a sum due 3 years hence at 10 % per annum is rs . 60 . the banker \u00e2 \u20ac \u2122 s discount is", - "Output Program": [ - "n0 = 3.0\nn1 = 10.0\nn2 = 60.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nt2 = t0 / t1\nanswer = n2 + t2\nprint(answer)" - ], - "Output Answer": [ - "260" - ], - "split": "dev" - }, - { - "Input": "a merchant marks his goods up by 30 % and then offers a discount of 10 % on the marked price . what % profit does the merchant make after the discount ?", - "Output Program": [ - "n0 = 30.0\nn1 = 10.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "17" - ], - "split": "dev" - }, - { - "Input": "on a certain day , tim invested $ 600 at 10 percent annual interest , compounded annually , and lana invested 800 at 5 percent annual interest , compounded annually . the total amount of interest earned by tim \u2019 s investment in the first 2 years was how much greater than the total amount of interest earned by lana \u2019 s investment in the first 2 years ?", - "Output Program": [ - "n0 = 600.0\nn1 = 10.0\nn2 = 800.0\nn3 = 5.0\nn4 = 2.0\nn5 = 2.0\nt0 = n1 / 100.0\nt1 = n3 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2**min(n4, 5)\nt5 = t3**min(n4, 5)\nt6 = n0 * t4\nt7 = n2 * t5\nt8 = t6 - n0\nt9 = t7 - n2\nanswer = t8 - t9\nprint(answer)" - ], - "Output Answer": [ - "44.000000000000114" - ], - "split": "dev" - }, - { - "Input": "90 students represent x percent of the boys at jones elementary school . if the boys at jones elementary make up 60 % of the total school population of x students , what is x ?", - "Output Program": [ - "import math\nn0 = 90.0\nn1 = 60.0\nt0 = n1 / 100.0\nt1 = n0 * 100.0\nt2 = t1 / t0\nanswer = math.sqrt(max(0, t2))\nprint(answer)" - ], - "Output Answer": [ - "122.47448713915891" - ], - "split": "dev" - }, - { - "Input": "at an election 2 candidates are participated and a candidate got 20 % of votes and defeated by 500 . and 10 votes are invalid . find the total polled votes ?", - "Output Program": [ - "n0 = 2.0\nn1 = 20.0\nn2 = 500.0\nn3 = 10.0\nt0 = n2 + n3\nt1 = n0 * n1\nt2 = t1 / 100.0\nt3 = 1.0 - t2\nanswer = t0 / t3\nprint(answer)" - ], - "Output Answer": [ - "850" - ], - "split": "dev" - }, - { - "Input": "a man can row 24 kmph in still water . it takes him thrice as long to row up as to row down the river . find the rate of the stream ?", - "Output Program": [ - "n0 = 24.0\nt0 = 1.0 + 3.0\nt1 = n0 * 2.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "12" - ], - "split": "dev" - }, - { - "Input": "x and y started a business by investing rs . 36000 and rs . 42000 respectively after 4 months z joined in the business with an investment of rs . 48000 , then find share of z in the profit of rs . 14190 ?", - "Output Program": [ - "n0 = 36000.0\nn1 = 42000.0\nn2 = 4.0\nn3 = 48000.0\nn4 = 14190.0\nt0 = 3.0 * n2\nt1 = n0 * t0\nt2 = n1 * t0\nt3 = t0 - n2\nt4 = t1 + t2\nt5 = n3 * t3\nt6 = t4 + t5\nt7 = n4 / t6\nanswer = t7 * t5\nprint(answer)" - ], - "Output Answer": [ - "4128" - ], - "split": "dev" - }, - { - "Input": "on a certain transatlantic crossing , 30 percent of a ship ' s passengers held round - trip tickets and also took their cars abroad the ship . if 60 percent of the passengers with round - trip tickets did not take their cars abroad the ship , what percent of the ship ' s passengers held round - trip tickets ?", - "Output Program": [ - "n0 = 30.0\nn1 = 60.0\nt0 = 100.0 - n1\nt1 = t0 / 100.0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "dev" - }, - { - "Input": "at what rate of compound interest per annum will a sum of $ 1200 becomes 1348.32 in 2 years ?", - "Output Program": [ - "import math\nn0 = 1200.0\nn1 = 1348.32\nn2 = 2.0\nt0 = n0 / 100.0\nt1 = n1 * 100.0\nt2 = n0 * 100.0\nt3 = t1 / t0\nt4 = t2 / t0\nt5 = math.sqrt(max(0, t3))\nt6 = math.sqrt(max(0, t4))\nanswer = t5 - t6\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "dev" - }, - { - "Input": "if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs 1920 less than the principal . what was the principal ?", - "Output Program": [ - "n0 = 4.0\nn1 = 5.0\nn2 = 1920.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "2400" - ], - "split": "dev" - }, - { - "Input": "11 is subtracted from 40 % of a number and results is 23 . what is the number ?", - "Output Program": [ - "n0 = 11.0\nn1 = 40.0\nn2 = 23.0\nt0 = n0 + n2\nt1 = n1 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "85" - ], - "split": "dev" - }, - { - "Input": "the present worth of rs . 845 due in 2 years at 4 % per annum compound interest is", - "Output Program": [ - "n0 = 845.0\nn1 = 2.0\nn2 = 4.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "781.2499999999999" - ], - "split": "dev" - }, - { - "Input": "jim is able to sell a hand - carved statue for $ 620 which was a 25 % profit over his cost . how much did the statue originally cost him ?", - "Output Program": [ - "n0 = 620.0\nn1 = 25.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "496" - ], - "split": "dev" - }, - { - "Input": "for 1 rs 4 p interest wat will be for 5000 rs ?", - "Output Program": [ - "n0 = 1.0\nn1 = 4.0\nn2 = 5000.0\nt0 = n1 / 100.0\nanswer = n2 * t0\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "dev" - }, - { - "Input": "a sum was put at simple interest at a certain rate for 10 years . had it been put at 5 % higher rate , it would have fetched rs . 600 more . what was the sum ?", - "Output Program": [ - "n0 = 10.0\nn1 = 5.0\nn2 = 600.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "1200" - ], - "split": "dev" - }, - { - "Input": "a shop owner sells 60 mtr of cloth and gains sp of 10 mtrs . find the gain % ?", - "Output Program": [ - "n0 = 60.0\nn1 = 10.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "dev" - }, - { - "Input": "albert invested rs . 6500 in a scheme for 2 years at compound interest rate 6.5 % p . a . how much amount will albert get on maturity of the fixed deposit ?", - "Output Program": [ - "n0 = 6500.0\nn1 = 2.0\nn2 = 6.5\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "7372.462499999999" - ], - "split": "dev" - }, - { - "Input": "mary works in a restaurant a maximum of 70 hours . for the first 20 hours , she is paid $ 8 per hour . for each overtime hour , she is paid at a rate which is 25 % higher than her regular rate . how much mary can earn in a week ?", - "Output Program": [ - "n0 = 70.0\nn1 = 20.0\nn2 = 8.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n2\nt2 = n0 - n1\nt3 = n2 * t0\nt4 = t3 * t2\nanswer = t1 + t4\nprint(answer)" - ], - "Output Answer": [ - "660" - ], - "split": "dev" - }, - { - "Input": "a store sells chairs and tables . if the price of 2 chairs and 1 table is 60 % of the price of 1 chair and 2 tables , and the price of 1 table and 1 chair is $ 72 , what is the price , in dollars , of 1 table ? ( assume that every chair has the same price and every table has the same price . )", - "Output Program": [ - "n0 = 2.0\nn1 = 1.0\nn2 = 60.0\nn3 = 1.0\nn4 = 2.0\nn5 = 1.0\nn6 = 1.0\nn7 = 72.0\nn8 = 1.0\nt0 = n2 / 100.0\nt1 = n7 * n0\nt2 = t0 + n1\nt3 = n7 * t0\nt4 = t1 - t3\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "63.00000000000001" - ], - "split": "dev" - }, - { - "Input": "heinz produces tomato puree by boiling tomato juice . the tomato puree has only 20 % water while the tomato juice has 90 % water . how many liters of tomato puree will be obtained from 20 litres of tomato juice ?", - "Output Program": [ - "n0 = 20.0\nn1 = 90.0\nn2 = 20.0\nt0 = 100.0 - n1\nt1 = 100.0 - n0\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = n2 * t2\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "2.5" - ], - "split": "dev" - }, - { - "Input": "in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the run rate in the remaining 40 overs to reach a target of 282 runs ?", - "Output Program": [ - "n0 = 10.0\nn1 = 3.2\nn2 = 40.0\nn3 = 282.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "6.25" - ], - "split": "dev" - }, - { - "Input": "if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs . 2400 less than the principal . what was the principal ?", - "Output Program": [ - "n0 = 4.0\nn1 = 5.0\nn2 = 2400.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "3000" - ], - "split": "dev" - }, - { - "Input": "find the compound interest on $ 1000 in 2 years at 4 % per annum , the interest being compounded half - yearly ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 2.0\nn2 = 4.0\nt0 = n2 / 100.0\nt1 = t0 / n1\nt2 = t1 + 1.0\nt3 = t2**min(n2, 5)\nt4 = n0 * t3\nanswer = t4 - n0\nprint(answer)" - ], - "Output Answer": [ - "82.43216000000007" - ], - "split": "dev" - }, - { - "Input": "a man buys a cycle for rs . 1900 and sells it at a loss of 18 % . what is the selling price of the cycle ?", - "Output Program": [ - "n0 = 1900.0\nn1 = 18.0\nt0 = 100.0 - n1\nt1 = n0 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1558" - ], - "split": "dev" - }, - { - "Input": "a fair price shopkeeper takes 10 % profit on his goods . he lost 60 % goods during theft . his loss percent is :", - "Output Program": [ - "n0 = 10.0\nn1 = 60.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "56" - ], - "split": "dev" - }, - { - "Input": "if a man lost 4 % by selling oranges at the rate of 72 a rupee at how many a rupee must he sell them to gain 44 % ?", - "Output Program": [ - "n0 = 4.0\nn1 = 72.0\nn2 = 44.0\nt0 = n2 + 100.0\nt1 = 100.0 - n0\nt2 = n1 * t1\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "48" - ], - "split": "dev" - }, - { - "Input": "at joel \u2019 s bookstore , the current inventory is 30 % historical fiction . of the historical fiction books , 40 % are new releases , while 50 % of the other books are new releases . what fraction of all new releases are the historical fiction new releases ?", - "Output Program": [ - "n0 = 30.0\nn1 = 40.0\nn2 = 50.0\nt0 = n0 * n1\nt1 = 100.0 - n0\nt2 = t0 / 100.0\nt3 = n2 * t1\nt4 = t3 / 100.0\nt5 = t2 + t4\nanswer = t2 / t5\nprint(answer)" - ], - "Output Answer": [ - "0.2553191489361702" - ], - "split": "dev" - }, - { - "Input": "if 45 % of a class averages 95 % on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages 60 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) .", - "Output Program": [ - "n0 = 45.0\nn1 = 95.0\nn2 = 50.0\nn3 = 78.0\nn4 = 60.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n3\nt3 = t1 + t2\nt4 = 100.0 - t0\nt5 = n4 * t4\nt6 = t3 + t5\nanswer = t6 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "84.75" - ], - "split": "dev" - }, - { - "Input": "running at the same constant rate , 6 identical machines can produce a total of 270 bottles per minute . at this rate , how many bottles could 8 such machines produce in 4 minutes ?", - "Output Program": [ - "n0 = 6.0\nn1 = 270.0\nn2 = 8.0\nn3 = 4.0\nt0 = n1 / n0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "1440" - ], - "split": "dev" - }, - { - "Input": "joe invested a certain sum of money in a simple interest bond whose value grew to $ 310 at the end of 3 years and to $ 410 at the end of another 5 years . what was the rate of interest in which he invested his sum ?", - "Output Program": [ - "n0 = 310.0\nn1 = 3.0\nn2 = 410.0\nn3 = 5.0\nt0 = n2 - n0\nt1 = t0 / n3\nt2 = n1 * t1\nt3 = n0 - t2\nt4 = t1 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "dev" - }, - { - "Input": "a , b and c invested rs . 2400 , rs . 7200 and rs . 9600 respectively , in a partnership business . find the share of a in profit of rs . 9000 after a year ?", - "Output Program": [ - "n0 = 2400.0\nn1 = 7200.0\nn2 = 9600.0\nn3 = 9000.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n0 / t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "1125" - ], - "split": "dev" - }, - { - "Input": "john and jane went out for a dinner and they ordered the same dish . both used a 10 % discount coupon . john paid a 15 % tip over the original price of the dish , while jane paid the tip over the discounted price for the coupon . if john paid $ 0.60 more than jane , what was the original price of the dish ?", - "Output Program": [ - "n0 = 10.0\nn1 = 15.0\nn2 = 0.6\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t1\nt3 = t0 * t2\nt4 = t0 - t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "40.000000000000036" - ], - "split": "dev" - }, - { - "Input": "120 students represent x percent of the boys at a school . if the boys at the school make up 30 % of the total school population of x students , what is x ?", - "Output Program": [ - "import math\nn0 = 120.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = n0 * 100.0\nt2 = t1 / t0\nanswer = math.sqrt(max(0, t2))\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "dev" - }, - { - "Input": "exactly 35 % of the reporters for a certain wire service cover local politics in country x . if 30 % of the reporters who cover politics for the wire service do not cover local politics in country x , what percent of the reporters for the wire service do not cover politics ?", - "Output Program": [ - "n0 = 35.0\nn1 = 30.0\nt0 = 100.0 - n1\nt1 = n0 / t0\nt2 = 1.0 - t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "dev" - }, - { - "Input": "a man buys an article for $ 100 . and sells it for $ 130 . find the gain percent ?", - "Output Program": [ - "n0 = 100.0\nn1 = 130.0\nt0 = n0 / 100.0\nt1 = n1 / t0\nanswer = t1 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "dev" - }, - { - "Input": "an article is sold at a certain price . by selling it at 2 / 3 of that price one loses 10 % . find the gain percent at original price ?", - "Output Program": [ - "n0 = 2.0\nn1 = 3.0\nn2 = 10.0\nt0 = n0 / n1\nt1 = 100.0 - n2\nt2 = t1 / t0\nanswer = t2 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "35" - ], - "split": "dev" - }, - { - "Input": "there were two candidates in an election . winner candidate received 62 % of votes and won the election by 384 votes . find the number of votes casted to the winning candidate ?", - "Output Program": [ - "n0 = 62.0\nn1 = 384.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nt3 = n1 / t2\nt4 = n0 * t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "992" - ], - "split": "dev" - }, - { - "Input": "selling an kite for rs . 30 , a shop keeper gains 25 % . during a clearance sale , the shopkeeper allows a discount of 10 % on the marked price . his gain percent during the sale is ?", - "Output Program": [ - "n0 = 30.0\nn1 = 25.0\nn2 = 10.0\nt0 = n1 + 100.0\nt1 = n0 / 100.0\nt2 = n0 * 100.0\nt3 = 100.0 - n2\nt4 = t2 / t0\nt5 = t1 * t3\nt6 = t5 - t4\nt7 = t6 / t4\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12.5" - ], - "split": "dev" - }, - { - "Input": "a store reduced the price of all items in the store by 10 % on the first day and by another 10 % on the second day . the price of items on the second day was what percent of the price before the first reduction took place ?", - "Output Program": [ - "n0 = 10.0\nn1 = 10.0\nt0 = 100.0 - n0\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 * t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "81" - ], - "split": "dev" - }, - { - "Input": "70 is increased by 50 % . find the final number .", - "Output Program": [ - "n0 = 70.0\nn1 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "105" - ], - "split": "dev" - }, - { - "Input": "martha has the unique talent of being able to guess other people \u2019 s height and weight . for every 6 people that martha meets , she consistently guesses the people \u2019 s correct height 5 times , and for every 8 people that she meets , she consistently guesses the people \u2019 s correct weight 6 times . if martha meets 3 people and her success rate remains constant , what is the probability that martha correctly guesses a person \u2019 s weight and height at least once ?", - "Output Program": [ - "n0 = 6.0\nn1 = 5.0\nn2 = 8.0\nn3 = 6.0\nn4 = 3.0\nt0 = n1 / n0\nt1 = n0 / n2\nt2 = t0 * t1\nt3 = 1.0 - t2\nt4 = t3**min(3.0, 5)\nanswer = 1.0 - t4\nprint(answer)" - ], - "Output Answer": [ - "0.947265625" - ], - "split": "dev" - }, - { - "Input": "a bowl was filled with 10 ounces of water , and 0.004 ounce of the water evaporated each day during a 50 - day period . what percent of the original amount of water evaporated during this period ?", - "Output Program": [ - "n0 = 10.0\nn1 = 0.004\nn2 = 50.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2" - ], - "split": "dev" - }, - { - "Input": "the cost price of 40 articles is the same as the selling price of x articles . if the profit is 25 % , what is x ?", - "Output Program": [ - "n0 = 40.0\nn1 = 25.0\nt0 = 1.0 + 4.0\nt1 = n0 * 4.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "32" - ], - "split": "dev" - }, - { - "Input": "the interest on a certain deposit at 4.5 % p . a . is rs . 202.50 in one year . how much will the additional interest in one year be on the same deposit at 5 % p . a ?", - "Output Program": [ - "n0 = 4.5\nn1 = 202.5\nn2 = 5.0\nt0 = n0 / 100.0\nt1 = n1 / t0\nt2 = n2 * t1\nt3 = t2 / 100.0\nanswer = t3 - n1\nprint(answer)" - ], - "Output Answer": [ - "22.5" - ], - "split": "dev" - }, - { - "Input": "i sold a book at a profit of 10 % . had i sold it for $ 110 more , 15 % would have been gained . find the cost price ?", - "Output Program": [ - "n0 = 10.0\nn1 = 110.0\nn2 = 15.0\nt0 = n0 * n1\nt1 = n2 - n0\nt2 = t0 / t1\nt3 = t2 * 100.0\nanswer = t3 / n0\nprint(answer)" - ], - "Output Answer": [ - "2200" - ], - "split": "dev" - }, - { - "Input": "a retailer buys 80 pens at the market price of 36 pens from a wholesaler , if he sells these pens giving a discount of 1 % , what is the profit % ?", - "Output Program": [ - "n0 = 80.0\nn1 = 36.0\nn2 = 1.0\nt0 = n2 / 100.0\nt1 = n1 / n0\nt2 = n2 - t0\nt3 = t2 - t1\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "dev" - }, - { - "Input": "what is the rate percent when the simple interest on rs . 800 amount to rs . 128 in 4 years ?", - "Output Program": [ - "n0 = 800.0\nn1 = 128.0\nn2 = 4.0\nt0 = n1 * 100.0\nt1 = n0 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "dev" - }, - { - "Input": "an error 1 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is :", - "Output Program": [ - "n0 = 1.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "2.01" - ], - "split": "dev" - }, - { - "Input": "the present population of a town is 1240 . population increase rate is 4 % p . a . find the population of town after 1 years ?", - "Output Program": [ - "n0 = 1240.0\nn1 = 4.0\nn2 = 1.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1289.6" - ], - "split": "dev" - }, - { - "Input": "a merchant marks goods up by 80 % and then offers a discount on the marked price . the profit that the merchant makes after offering the discount is 35 % . what % discount did the merchant offer ?", - "Output Program": [ - "n0 = 80.0\nn1 = 35.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t2 - 1.0\nt4 = t3 - t1\nt5 = t4 / t2\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25.000000000000007" - ], - "split": "dev" - }, - { - "Input": "the cost price of a radio is rs . 3300 and it was sold for rs . 1230 , find the loss % ?", - "Output Program": [ - "n0 = 3300.0\nn1 = 1230.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "62.727272727272734" - ], - "split": "dev" - }, - { - "Input": "at what rate percent per annum will the simple interest on a sum of money be 3 / 5 of the amount in 10 years ?", - "Output Program": [ - "n0 = 3.0\nn1 = 5.0\nn2 = 10.0\nt0 = n0 / n1\nt1 = t0 * 100.0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "dev" - }, - { - "Input": "heinz produces tomato puree by boiling tomato juice . the tomato puree has only 20 % water while the tomato juice has 90 % water . how many litres of tomato puree will be obtained from 20 litres of tomato juice ?", - "Output Program": [ - "n0 = 20.0\nn1 = 90.0\nn2 = 20.0\nt0 = 100.0 - n1\nt1 = 100.0 - n0\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = n2 * t2\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "2.5" - ], - "split": "dev" - }, - { - "Input": "the cost price of 20 articles is the same as the selling price of x articles . if the profit is 25 % , then the value of x is :", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nt0 = 1.0 + 4.0\nt1 = n0 * 4.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "dev" - }, - { - "Input": "at what price must an article costing rs . 47.50 be marked in order that after deducting 20 % from the list price . it may be sold at a profit of 25 % on the cost price ?", - "Output Program": [ - "n0 = 47.5\nn1 = 20.0\nn2 = 25.0\nt0 = n0 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 + t2\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "74.21875" - ], - "split": "dev" - }, - { - "Input": "if it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 240 responses are needed , what is the minimum number of questionnaires that should be mailed ?", - "Output Program": [ - "n0 = 60.0\nn1 = 240.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "dev" - }, - { - "Input": "an investor deposited $ 5,000 to open a new savings account that earned 8 percent annual interest , compounded quarterly . if there were no other transactions in the account , what was the amount of money in the account 6 months after the account was opened ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 8.0\nn2 = 6.0\nt0 = 2.0 + 3.0\nt1 = n1 / 4.0\nt2 = t1 / 100.0\nt3 = t0 * 100.0\nt4 = t0 * 2.0\nt5 = t2 + 1.0\nt6 = t3 * t4\nt7 = t5**min(2.0, 5)\nanswer = t6 * t7\nprint(answer)" - ], - "Output Answer": [ - "5202" - ], - "split": "dev" - }, - { - "Input": "john makes $ 60 a week from his job . he earns a raise and now makes $ 90 a week . what is the % increase ?", - "Output Program": [ - "n0 = 60.0\nn1 = 90.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "dev" - }, - { - "Input": "a sells a bicycle to b and makes a profit of 25 % . b sells the same bicycle to c at a profit of 50 % . if the final s . p . of the bicycle was rs . 225 , find out the cost price of the bicycle for a .", - "Output Program": [ - "n0 = 25.0\nn1 = 50.0\nn2 = 225.0\nt0 = n1 + 100.0\nt1 = n0 + 100.0\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = n2 / t2\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "dev" - }, - { - "Input": "a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 65 percent of books that were loaned out are returned and there are 68 books in the special collection at that time , how many books of the special collection were loaned out during that month ?", - "Output Program": [ - "n0 = 75.0\nn1 = 65.0\nn2 = 68.0\nt0 = n1 / 100.0\nt1 = n0 - n2\nt2 = 1.0 - t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "dev" - }, - { - "Input": "the bankers discount of a certain sum of money is rs . 288 and the true discount on the same sum for the same time is rs . 240 . the sum due is :", - "Output Program": [ - "n0 = 288.0\nn1 = 240.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "1440" - ], - "split": "dev" - }, - { - "Input": "a shopkeeper sold an article offering a discount of 4 % and earned a profit of 32 % . what would have been the percentage of profit earned if no discount was offered ?", - "Output Program": [ - "n0 = 4.0\nn1 = 32.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * 100.0\nt3 = t2 / t1\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "37.5" - ], - "split": "dev" - }, - { - "Input": "arun purchased 30 kg of wheat at the rate of rs . 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg . he mixed the two and sold the mixture . approximately what price per kg should be sell the mixture to make 15 % profit ?", - "Output Program": [ - "n0 = 30.0\nn1 = 11.5\nn2 = 20.0\nn3 = 14.25\nn4 = 15.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n3\nt3 = t1 + t2\nt4 = t3 / 100.0\nt5 = n4 * t4\nt6 = t3 + t5\nanswer = t6 / t0\nprint(answer)" - ], - "Output Answer": [ - "14.49" - ], - "split": "dev" - }, - { - "Input": "a patient is given exactly 750 milliliters of a mixture of two medications daily . medication a contains 40 % pain killer and medication b contains 20 % pain killer . if the patient receives exactly 215 milliliters of pain killer daily , how many milliliters of medication b are in the mixture ?", - "Output Program": [ - "n0 = 750.0\nn1 = 40.0\nn2 = 20.0\nn3 = 215.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n0 * t0\nt3 = t0 - t1\nt4 = t2 - n3\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "425" - ], - "split": "dev" - }, - { - "Input": "you enter a weight loss challenge game and manage to lose 12 % of your body weight . for the final weigh in you are forced to wear clothes that add 2 % to your weight . what percentage of weight loss is measured at the final weigh in ?", - "Output Program": [ - "n0 = 12.0\nn1 = 2.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = 1.0 - t4\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10.239999999999993" - ], - "split": "dev" - }, - { - "Input": "if the cost price of 24 chocolates is equal to the selling price of 16 chocolates , the gain percent is :", - "Output Program": [ - "n0 = 24.0\nn1 = 16.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = 100.0 / t1\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "dev" - }, - { - "Input": "last year a certain bond price with a face value of 5000 yielded 10 % of its face value in interest . if that interest was approx 6.5 of the bond ' s selling price approx what was the bond ' s selling price ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 10.0\nn2 = 6.5\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n0 * t0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "7692.307692307692" - ], - "split": "dev" - }, - { - "Input": "ravi purchased a refrigerator and a mobile phone for rs . 15000 and rs . 8000 respectively . he sold the refrigerator at a loss of 3 percent and the mobile phone at a profit of 10 percent . overall he make a .", - "Output Program": [ - "n0 = 15000.0\nn1 = 8000.0\nn2 = 3.0\nn3 = 10.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = t2 + 1.0\nt4 = 1.0 - t1\nt5 = n0 * t4\nt6 = n1 * t3\nt7 = t5 + t6\nanswer = t7 - t0\nprint(answer)" - ], - "Output Answer": [ - "350" - ], - "split": "dev" - }, - { - "Input": "the list price of an article is rs . 70 . a customer pays rs . 59.22 for it . he was given two successive discounts , one of them being 10 % . the other discount is ?", - "Output Program": [ - "n0 = 70.0\nn1 = 59.22\nn2 = 10.0\nt0 = n2 / 100.0\nt1 = n0 * t0\nt2 = n0 - t1\nt3 = t2 - n1\nt4 = t3 / t2\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "6.000000000000002" - ], - "split": "dev" - }, - { - "Input": "seed mixture x is 40 percent ryegrass and 60 percent bluegrass by weight ; seed mixture y is 25 percent ryegrass and 75 percent fescue . if a mixture of x and y contains 35 percent ryegrass , what percent of the weight of this mixture is x ?", - "Output Program": [ - "n0 = 40.0\nn1 = 60.0\nn2 = 25.0\nn3 = 75.0\nn4 = 35.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n4 - n2\nt3 = t0 - t1\nanswer = t2 / t3\nprint(answer)" - ], - "Output Answer": [ - "66.66666666666666" - ], - "split": "dev" - }, - { - "Input": "peter invested a certain sum of money in a simple interest bond whose value grew to $ 300 at the end of 3 years and to $ 400 at the end of another 5 years . what was the rate of interest in which he invested his sum ?", - "Output Program": [ - "n0 = 300.0\nn1 = 3.0\nn2 = 400.0\nn3 = 5.0\nt0 = n2 - n0\nt1 = t0 / n3\nt2 = n1 * t1\nt3 = n0 - t2\nt4 = t1 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "8.333333333333332" - ], - "split": "dev" - }, - { - "Input": "at what rate percent on simple interest will rs . 750 amount to rs . 900 in 5 years ?", - "Output Program": [ - "n0 = 750.0\nn1 = 900.0\nn2 = 5.0\nt0 = n1 - n0\nt1 = t0 / n0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "dev" - }, - { - "Input": "a person borrows rs . 5000 for 2 years at 4 % p . a . simple interest . he immediately lends it to another person at 6 p . a for 2 years . find his gain in the transaction per year .", - "Output Program": [ - "n0 = 5000.0\nn1 = 2.0\nn2 = 4.0\nn3 = 6.0\nn4 = 2.0\nt0 = n0 * n3\nt1 = n0 * n2\nt2 = n1 * t0\nt3 = n1 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nt6 = t4 - t5\nanswer = t6 / n1\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "dev" - }, - { - "Input": "in a village of 2,700 people , 900 people are over 70 years old and 1200 people are female . it is known that 60 percent of the females are younger than 70 years old . if no one in the village is 70 years old , what is the probability that a person chosen at random is either a male or younger than 70 years old ?", - "Output Program": [ - "n0 = 2700.0\nn1 = 900.0\nn2 = 70.0\nn3 = 1200.0\nn4 = 60.0\nn5 = 70.0\nn6 = 70.0\nn7 = 70.0\nt0 = 5.0 * 5.0\nt1 = t0 / 0.25\nt2 = n4 / t1\nt3 = t1 * 26.0\nt4 = 1.0 - t2\nt5 = n3 * t4\nt6 = t3 - t5\nanswer = t6 / t3\nprint(answer)" - ], - "Output Answer": [ - "0.8153846153846154" - ], - "split": "dev" - }, - { - "Input": "selling an kite for rs . 30 , a shop keeper gains 15 % . during a clearance sale , the shopkeeper allows a discount of 10 % on the marked price . his gain percent during the sale is ?", - "Output Program": [ - "n0 = 30.0\nn1 = 15.0\nn2 = 10.0\nt0 = n1 + 100.0\nt1 = n0 / 100.0\nt2 = n0 * 100.0\nt3 = 100.0 - n2\nt4 = t2 / t0\nt5 = t1 * t3\nt6 = t5 - t4\nt7 = t6 / t4\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "3.5000000000000053" - ], - "split": "dev" - }, - { - "Input": "john makes $ 40 a week from his job . he earns a raise and now makes $ 80 a week . what is the % increase ?", - "Output Program": [ - "n0 = 40.0\nn1 = 80.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "dev" - }, - { - "Input": "a man bought an article and sold it at a gain of 5 % . if he had bought it at 5 % less and sold it for re 5 less , he would have made a profit of 10 % . the c . p . of the article was", - "Output Program": [ - "n0 = 5.0\nn1 = 5.0\nn2 = 5.0\nn3 = 10.0\nt0 = n0 * 4.0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "dev" - }, - { - "Input": "ramu bought an old car for rs . 42000 . he spent rs . 15000 on repairs and sold it for rs . 64900 . what is his profit percent ?", - "Output Program": [ - "n0 = 42000.0\nn1 = 15000.0\nn2 = 64900.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "13.859649122807017" - ], - "split": "dev" - }, - { - "Input": "a sells a bicycle to b and makes a profit of 60 % . b sells the same bicycle to c at a profit of 25 % . if the final s . p . of the bicycle was rs . 225 , find out the cost price of the bicycle for a .", - "Output Program": [ - "n0 = 60.0\nn1 = 25.0\nn2 = 225.0\nt0 = n1 + 100.0\nt1 = n0 + 100.0\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = n2 / t2\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "112.5" - ], - "split": "dev" - }, - { - "Input": "if a population of women in a town is 50 % of men . what is the population of men as a % of population of women ?", - "Output Program": [ - "n0 = 50.0\nt0 = 100.0 / n0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "dev" - }, - { - "Input": "a dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg , what is his percent ?", - "Output Program": [ - "n0 = 800.0\nt0 = 2.0 + 3.0\nt1 = 100.0 / n0\nt2 = t0 * 2.0\nt3 = t2 * 100.0\nt4 = t1 * t3\nanswer = t4 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "dev" - }, - { - "Input": "the sale price of an article including the sales tax is rs . 616 . the rate of sales tax is 10 % . if the shopkeeper has made a profit of 14 % , then the cost price of the article is :", - "Output Program": [ - "n0 = 616.0\nn1 = 10.0\nn2 = 14.0\nt0 = n1 + 100.0\nt1 = n2 + 100.0\nt2 = n0 * 100.0\nt3 = t2 / t0\nt4 = t0 * t3\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "540.3508771929825" - ], - "split": "dev" - }, - { - "Input": "dhoni spent 25 percent of his earning last month on rent and 10 percent less than what he spent on rent to purchase a new dishwasher . what percent of last month ' s earning did dhoni have left over ?", - "Output Program": [ - "n0 = 25.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nt2 = n0 * t1\nt3 = n0 + t2\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "52.5" - ], - "split": "dev" - }, - { - "Input": "a present value of a machine is $ 800 . its value depletion rate is 10 % per annum then find the machine value after 2 years ?", - "Output Program": [ - "n0 = 800.0\nn1 = 10.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "648" - ], - "split": "dev" - }, - { - "Input": "the effective annual rate of interest corresponding to a nominal rate of 16 % per annum payable half - yearly is ?", - "Output Program": [ - "n0 = 16.0\nt0 = n0 / 2.0\nt1 = t0 + t0\nt2 = t0 * t0\nt3 = t2 / 100.0\nanswer = t1 + t3\nprint(answer)" - ], - "Output Answer": [ - "16.64" - ], - "split": "dev" - }, - { - "Input": "a shopkeeper sold an article at $ 1800 with 20 % profit . then find its cost price ?", - "Output Program": [ - "n0 = 1800.0\nn1 = 20.0\nt0 = n1 + 100.0\nt1 = 100.0 / t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "1500" - ], - "split": "dev" - }, - { - "Input": "find the principle on a certain sum of money at 5 % per annum for 2 years if the amount being rs . 1120 ?", - "Output Program": [ - "n0 = 5.0\nn1 = 2.0\nn2 = 1120.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "1018.1818181818181" - ], - "split": "dev" - }, - { - "Input": "the percentage profit earned by selling an article for rs . 1320 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 25 % profit ?", - "Output Program": [ - "n0 = 1320.0\nn1 = 1280.0\nn2 = 25.0\nt0 = n2 + 100.0\nt1 = n0 + n1\nt2 = t0 / 100.0\nt3 = t1 / 2.0\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "1625" - ], - "split": "dev" - }, - { - "Input": "40 is subtracted from 60 % of a number , the result is 50 . find the number ?", - "Output Program": [ - "n0 = 40.0\nn1 = 60.0\nn2 = 50.0\nt0 = n0 + n2\nt1 = n1 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "dev" - }, - { - "Input": "a 9 % stock yields 8 % . the market value of the stock is :", - "Output Program": [ - "n0 = 9.0\nn1 = 8.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "112.5" - ], - "split": "dev" - }, - { - "Input": "find compound interest on $ 4000 at 15 % per annum for 2 years 4 months , compounded annually .", - "Output Program": [ - "n0 = 4000.0\nn1 = 15.0\nn2 = 2.0\nn3 = 4.0\nt0 = n1 / 100.0\nt1 = t0 / 3.0\nt2 = n0 * t0\nt3 = n0 + t2\nt4 = t3 * t0\nt5 = t2 + t4\nt6 = t3 + t4\nt7 = t6 * t1\nanswer = t5 + t7\nprint(answer)" - ], - "Output Answer": [ - "1554.5" - ], - "split": "dev" - }, - { - "Input": "a invested $ 100 in a business after 6 months b invested $ 200 in the business . end of the year if they got $ 100 as profit . find a shares ?", - "Output Program": [ - "n0 = 100.0\nn1 = 6.0\nn2 = 200.0\nn3 = 100.0\nt0 = n2 / 2.0\nt1 = n0 + t0\nt2 = t0 / t1\nt3 = 1.0 - t2\nanswer = n3 * t3\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "dev" - }, - { - "Input": "a shopkeeper labeled the price of his articles so as to earn a profit of 40 % on the cost price . he then sold the articles by offering a discount of 5 % on the labeled price . what is the actual percent profit earned in the deal ?", - "Output Program": [ - "n0 = 40.0\nn1 = 5.0\nt0 = n0 + 100.0\nt1 = n1 / 100.0\nt2 = t0 * t1\nt3 = t0 - t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "33" - ], - "split": "dev" - }, - { - "Input": "a person purchased a tv set for rs . 16000 and a dvd player for rs . 6250 . he sold both the items together for rs . 35600 . what percentage of profit did he make ?", - "Output Program": [ - "n0 = 16000.0\nn1 = 6250.0\nn2 = 35600.0\nt0 = n0 + n1\nt1 = n2 / t0\nt2 = t1 - 1.0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "60.00000000000001" - ], - "split": "dev" - }, - { - "Input": "a shopkeeper sold an article offering a discount of 5 % and earned a profit of 22.55 % . what would have been the percentage of profit earned if no discount was offered ?", - "Output Program": [ - "n0 = 5.0\nn1 = 22.55\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * 100.0\nt3 = t2 / t1\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "29" - ], - "split": "dev" - }, - { - "Input": "a cycle is bought for rs . 1500 and sold for rs . 1620 , find the gain percent ?", - "Output Program": [ - "n0 = 1500.0\nn1 = 1620.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "dev" - }, - { - "Input": "ravi purchased a refrigerator and a mobile phone for rs . 15000 and rs . 8000 respectively . he sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 11 percent . overall he make a .", - "Output Program": [ - "n0 = 15000.0\nn1 = 8000.0\nn2 = 4.0\nn3 = 11.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = t2 + 1.0\nt4 = 1.0 - t1\nt5 = n0 * t4\nt6 = n1 * t3\nt7 = t5 + t6\nanswer = t7 - t0\nprint(answer)" - ], - "Output Answer": [ - "280" - ], - "split": "dev" - }, - { - "Input": "in a certain candy store , 22 % of the customers are caught sampling the candy and are charged a small fine , but 5 % of the customers who sample the candy are not caught . what is the total percent of all customers who sample candy ?", - "Output Program": [ - "n0 = 22.0\nn1 = 5.0\nt0 = 100.0 - n1\nt1 = t0 / 100.0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "23.157894736842106" - ], - "split": "dev" - }, - { - "Input": "a bag marked at $ 125 is sold for $ 120 . the rate of discount is ?", - "Output Program": [ - "n0 = 125.0\nn1 = 120.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "dev" - }, - { - "Input": "andrew purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 8.0\nn1 = 70.0\nn2 = 9.0\nn3 = 55.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1055" - ], - "split": "dev" - }, - { - "Input": "a retailer bought a machine at a wholesale price of $ 90 and later on sold it after a 10 % discount of the retail price . if the retailer made a profit equivalent to 20 % of the whole price , what is the retail price r of the machine ?", - "Output Program": [ - "n0 = 90.0\nn1 = 10.0\nn2 = 20.0\nt0 = n0 * n2\nt1 = 3.0 * 3.0\nt2 = t0 / 100.0\nt3 = n1 * t1\nt4 = n0 + t2\nt5 = t4 * 100.0\nanswer = t5 / t3\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "dev" - }, - { - "Input": "if 35 % of a number is 24 less than 50 % of that number , then the number is ?", - "Output Program": [ - "n0 = 35.0\nn1 = 24.0\nn2 = 50.0\nt0 = n2 - n0\nt1 = t0 / 100.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "160" - ], - "split": "dev" - }, - { - "Input": "tom opened a shop investing rs . 3000 . jose joined him 2 months later , investing rs . 4500 . they earned a profit of rs . 5400 after completion of one year . what will be jose ' s share of profit ?", - "Output Program": [ - "n0 = 3000.0\nn1 = 2.0\nn2 = 4500.0\nn3 = 5400.0\nt0 = n1 * 3.0\nt1 = t0 * n1\nt2 = n0 * t1\nt3 = t1 - n1\nt4 = n2 * t3\nt5 = t4 + t2\nt6 = t2 / t5\nt7 = 1.0 - t6\nanswer = n3 * t7\nprint(answer)" - ], - "Output Answer": [ - "3000" - ], - "split": "dev" - }, - { - "Input": "increasing the original price of an article by 20 percent and then increasing the new price by 20 percent is equivalent to increasing the original price by", - "Output Program": [ - "n0 = 20.0\nn1 = 20.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1 * t1\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "43.99999999999999" - ], - "split": "dev" - }, - { - "Input": "the banker \u00e2 \u20ac \u2122 s gain on a sum due 3 years hence at 12 % per annum is rs . 180 . the banker \u00e2 \u20ac \u2122 s discount is", - "Output Program": [ - "n0 = 3.0\nn1 = 12.0\nn2 = 180.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nt2 = t0 / t1\nanswer = n2 + t2\nprint(answer)" - ], - "Output Answer": [ - "680" - ], - "split": "dev" - }, - { - "Input": "what is 0.1 percent of 12,356 ?", - "Output Program": [ - "n0 = 0.1\nn1 = 12356.0\nt0 = 2.0 + 3.0\nt1 = 3.0 + 4.0\nt2 = 3.0 + 3.0\nt3 = 3.0 * 4.0\nt4 = t0 * 2.0\nt5 = t3 * 100.0\nt6 = t1 * t0\nt7 = t4 * t5\nt8 = t6 * t4\nt9 = t7 + t8\nt10 = t9 + t2\nt11 = n0 * t10\nanswer = t11 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "12.356000000000002" - ], - "split": "dev" - }, - { - "Input": "of the votes cast on a certain proposal , 66 more were in favor of the proposal than were against it . if the number of votes against the proposal was 40 percent of the total vote , what was the total number of votes cast ? ( each vote cast was either in favor of the proposal or against it . )", - "Output Program": [ - "n0 = 66.0\nn1 = 40.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "330.00000000000006" - ], - "split": "dev" - }, - { - "Input": "a sum of money deposited at c . i . amounts to rs . 2420 in 2 years and to rs . 3025 in 3 years . find the rate percent ?", - "Output Program": [ - "n0 = 2420.0\nn1 = 2.0\nn2 = 3025.0\nn3 = 3.0\nt0 = n2 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "dev" - }, - { - "Input": "a statue is being carved by a sculptor . the original piece of marble weighed 190 kg . in the first week 25 percent is cut away . in the second week 15 percent of the remainder is cut away . in the third week the statue is completed when 10 percent of the remainder is cut away . what is the weight of the final statue ?", - "Output Program": [ - "n0 = 190.0\nn1 = 25.0\nn2 = 15.0\nn3 = 10.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = 1.0 - t0\nt4 = 1.0 - t1\nt5 = 1.0 - t2\nt6 = n0 * t3\nt7 = t6 * t4\nanswer = t7 * t5\nprint(answer)" - ], - "Output Answer": [ - "109.0125" - ], - "split": "dev" - }, - { - "Input": "one ball will drop from a certain height . the height it will reach after rebounding from the floor is 50 percent of the previous height . the total travel is 225 cm when it touches the floor on third time . what is the value of the original height ?", - "Output Program": [ - "n0 = 50.0\nn1 = 225.0\nt0 = n0 / 100.0\nt1 = t0 + 2.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "90" - ], - "split": "dev" - }, - { - "Input": "indu gave bindu rs . 7500 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?", - "Output Program": [ - "n0 = 7500.0\nn1 = 2.0\nn2 = 4.0\nn3 = 2.0\nn4 = 4.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = n0 * t0\nt3 = n1 * t2\nt4 = t1**min(n1, 5)\nt5 = n0 * t4\nt6 = t5 - n0\nanswer = t6 - t3\nprint(answer)" - ], - "Output Answer": [ - "12.00000000000091" - ], - "split": "dev" - }, - { - "Input": "a shopkeeper sold an article at $ 1170 and gained a 20 % profit . what was the cost price ?", - "Output Program": [ - "n0 = 1170.0\nn1 = 20.0\nt0 = n1 + 100.0\nt1 = 100.0 / t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "975" - ], - "split": "dev" - }, - { - "Input": "suresh started a business , investing rs . 18000 . after 3 months and 4 months respectively , rohan and sudhir joined him with capitals of 12000 and 9000 . at the end of the year the total profit was rs . 3982 . what is the difference between rohan \u2019 s and sudhir \u2019 s share in the profit ?", - "Output Program": [ - "n0 = 18000.0\nn1 = 3.0\nn2 = 4.0\nn3 = 12000.0\nn4 = 9000.0\nn5 = 3982.0\nt0 = n1 * n2\nt1 = t0 - n1\nt2 = t0 - n2\nt3 = t1 / t0\nt4 = t2 / t0\nt5 = n3 * t3\nt6 = n4 * t4\nt7 = n0 + t5\nt8 = t5 - t6\nt9 = t7 + t6\nt10 = n5 / t9\nanswer = t10 * t8\nprint(answer)" - ], - "Output Answer": [ - "362" - ], - "split": "dev" - }, - { - "Input": "ramesh purchased a refrigerator for rs . 12500 after getting a discount of 20 % on the labelled price . he spent rs . 125 on transport and rs . 250 on installation . at what price should it be sold so that the profit earned would be 18 % if no discount was offered ?", - "Output Program": [ - "n0 = 12500.0\nn1 = 20.0\nn2 = 125.0\nn3 = 250.0\nn4 = 18.0\nt0 = n4 + 100.0\nt1 = n2 + n3\nt2 = n0 * 100.0\nt3 = 100.0 - n1\nt4 = t2 / t3\nt5 = t1 + t4\nt6 = t0 * t5\nanswer = t6 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "18880" - ], - "split": "dev" - }, - { - "Input": "a , b and c invested rs . 6300 , rs . 4200 and rs . 10500 respectively , in a partnership business . find the share of a in profit of rs . 12500 after a year ?", - "Output Program": [ - "n0 = 6300.0\nn1 = 4200.0\nn2 = 10500.0\nn3 = 12500.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n0 / t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "3750" - ], - "split": "dev" - }, - { - "Input": "a student needs 30 % of the marks on a test to pass the test . if the student gets 80 marks and fails the test by 100 marks , find the maximum marks set for the test .", - "Output Program": [ - "n0 = 30.0\nn1 = 80.0\nn2 = 100.0\nt0 = n1 + n2\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "dev" - }, - { - "Input": "an investment yields an interest payment of $ 228 each month . if the simple annual interest rate is 9 % , what is the amount of the investment ?", - "Output Program": [ - "n0 = 228.0\nn1 = 9.0\nt0 = 3.0 * 4.0\nt1 = n1 / t0\nt2 = n0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "30400" - ], - "split": "dev" - }, - { - "Input": "in how many years rs 100 will produce the same interest at 5 % as rs . 600 produce in 4 years at 10 %", - "Output Program": [ - "n0 = 100.0\nn1 = 5.0\nn2 = 600.0\nn3 = 4.0\nn4 = 10.0\nt0 = n1 / 100.0\nt1 = n2 * n4\nt2 = t1 / 100.0\nt3 = n0 * t0\nt4 = n3 * t2\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "48" - ], - "split": "dev" - }, - { - "Input": "if the cost price of 18 articles is equal to the selling price of 16 articles , what is the percentage of profit or loss that the merchant makes ?", - "Output Program": [ - "n0 = 18.0\nn1 = 16.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = 100.0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12.500000000000004" - ], - "split": "dev" - }, - { - "Input": "by selling 100 pens , a trader gains the cost of 30 pens . find his gain percentage ?", - "Output Program": [ - "n0 = 100.0\nn1 = 30.0\nt0 = n1 / n0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "dev" - }, - { - "Input": "working together at their respective constant rates , machine a and machine b can produce 1600 units in 8 hours . working alone , machine b would complete that same output in 50 % more time . if machine a were to work on its own for an 8 - hour shift , what percent of the 1600 unit total would it produce ?", - "Output Program": [ - "n0 = 1600.0\nn1 = 8.0\nn2 = 50.0\nn3 = 8.0\nn4 = 1600.0\nt0 = 4.0 * 4.0\nt1 = n1 * n2\nt2 = t1 / 100.0\nt3 = t0 * 100.0\nt4 = n1 + t2\nt5 = t3 / n1\nt6 = t3 / t4\nt7 = t5 - t6\nt8 = n1 * t7\nt9 = t8 / t3\nanswer = t9 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "dev" - }, - { - "Input": "if price of t . v set is reduced by 20 % , then its sale increases by 80 % , find net effect on sale value", - "Output Program": [ - "n0 = 20.0\nn1 = 80.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t1 / 100.0\nt3 = t0 / 100.0\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "44.000000000000014" - ], - "split": "dev" - }, - { - "Input": "a trader bought a car at 20 % discount on its original price . he sold it at a 70 % increase on the price he bought it . what percent of profit did he make on the original price ?", - "Output Program": [ - "n0 = 20.0\nn1 = 70.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 / 100.0\nt4 = t3 / 100.0\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "36.00000000000001" - ], - "split": "dev" - }, - { - "Input": "in a factory , there are 90 % technicians and 10 % non - technicians . if the 90 % of the technicians and 10 % of non - technicians are permanent employees , then the percentage of workers who are temporary is ?", - "Output Program": [ - "n0 = 90.0\nn1 = 10.0\nn2 = 90.0\nn3 = 10.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = n0 * t0\nt3 = n1 * t1\nt4 = t2 + t3\nanswer = 100.0 - t4\nprint(answer)" - ], - "Output Answer": [ - "82" - ], - "split": "dev" - }, - { - "Input": "last year elaine spent 20 % of her annual earnings on rent . this year she earned 20 % more than last year and she spent 30 % of her annual earnings on rent . the amount she spent on rent this year is what percent of the amount spent on rent last year ?", - "Output Program": [ - "n0 = 20.0\nn1 = 20.0\nn2 = 30.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n2 * t1\nt3 = t2 / n0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "180" - ], - "split": "dev" - }, - { - "Input": "a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 80 percent of books that were loaned out are returned and there are 66 books in the special collection at that time , how many books of the special collection were loaned out during that month ?", - "Output Program": [ - "n0 = 75.0\nn1 = 80.0\nn2 = 66.0\nt0 = n1 / 100.0\nt1 = n0 - n2\nt2 = 1.0 - t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "45.00000000000001" - ], - "split": "dev" - }, - { - "Input": "a towel , when bleached , lost 30 % of its length and 25 % of its breadth . what is the percentage decrease in area ?", - "Output Program": [ - "n0 = 30.0\nn1 = 25.0\nt0 = 100.0 * 100.0\nt1 = 100.0 - n0\nt2 = 100.0 - n1\nt3 = t1 * t2\nt4 = t0 - t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "47.5" - ], - "split": "dev" - }, - { - "Input": "you enter a weight loss challenge game and manage to lose 13 % of your body weight . for the final weigh in you are forced to wear clothes that add 2 % to your weight . what percentage of weight loss is measured at the final weigh in ?", - "Output Program": [ - "n0 = 13.0\nn1 = 2.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = 1.0 - t4\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "11.260000000000003" - ], - "split": "dev" - }, - { - "Input": "i bought two books ; for rs . 500 . i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price . find the cost of the book sold at a loss ?", - "Output Program": [ - "n0 = 500.0\nn1 = 15.0\nn2 = 19.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = t0 + t1\nt3 = n0 * t0\nanswer = t3 / t2\nprint(answer)" - ], - "Output Answer": [ - "291.6666666666667" - ], - "split": "dev" - }, - { - "Input": "a 16 % stock yielding 10 % is quoted at :", - "Output Program": [ - "n0 = 16.0\nn1 = 10.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "160" - ], - "split": "dev" - }, - { - "Input": "some of 45 % - intensity red paint is replaced with 25 % solution of red paint such that the new paint intensity is 40 % . what fraction of the original paint was replaced ?", - "Output Program": [ - "n0 = 45.0\nn1 = 25.0\nn2 = 40.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 - t1\nt4 = t2 - t1\nanswer = t3 / t4\nprint(answer)" - ], - "Output Answer": [ - "0.24999999999999994" - ], - "split": "dev" - }, - { - "Input": "a technician makes a round - trip to and from a certain service center by the same route . if the technician completes the drive to the center and then completes 50 percent of the drive from the center , what percent of the round - trip has the technician completed ?", - "Output Program": [ - "n0 = 50.0\nt0 = 100.0 / 2.0\nt1 = n0 * t0\nt2 = t1 / 100.0\nanswer = t0 + t2\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "dev" - }, - { - "Input": "the price of a jacket is reduced by 25 % . during a special sale the price of the jacket is reduced another 25 % . by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount ?", - "Output Program": [ - "n0 = 25.0\nn1 = 25.0\nt0 = n1 / 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t1 - t2\nt4 = 100.0 - t3\nt5 = t4 / t3\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "77.77777777777779" - ], - "split": "dev" - }, - { - "Input": "a man buys 54 pens at marked price of 46 pens from a whole seller . if he sells these pens giving a discount of 1 % , what is the profit percent ?", - "Output Program": [ - "n0 = 54.0\nn1 = 46.0\nn2 = 1.0\nt0 = n1 * 100.0\nt1 = 100.0 - n2\nt2 = n0 * t1\nt3 = t2 - t0\nt4 = t3 / t0\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "16.217391304347824" - ], - "split": "dev" - }, - { - "Input": "the cost price of a radio is rs . 1800 and it was sold for rs . 1430 , find the loss % ?", - "Output Program": [ - "n0 = 1800.0\nn1 = 1430.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20.555555555555554" - ], - "split": "dev" - }, - { - "Input": "fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 8.91 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discount rates is 22 percent , what is the discount rate on pony jeans ?", - "Output Program": [ - "n0 = 15.0\nn1 = 18.0\nn2 = 8.91\nn3 = 5.0\nn4 = 3.0\nn5 = 2.0\nn6 = 22.0\nt0 = n6 / 100.0\nt1 = n1 * n5\nt2 = n0 * n4\nt3 = t0 * t1\nt4 = t2 - t1\nt5 = n2 - t3\nt6 = t5 / t4\nt7 = t0 - t6\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10.999999999999996" - ], - "split": "dev" - }, - { - "Input": "find the simple interest on $ 10000 at 4 % per annum for 12 months ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 4.0\nn2 = 12.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "dev" - }, - { - "Input": "sandy buys an old scooter for $ 900 and spends $ 300 on its repairs . if sandy sells the scooter for $ 1500 , what is the gain percent ?", - "Output Program": [ - "n0 = 900.0\nn1 = 300.0\nn2 = 1500.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "dev" - }, - { - "Input": "a certain plant was 11 feet long on the day it was plantedthe length grows by a constant amount everyday ( inc . the first day it was planted ) . if this plant grew by 30 % b / w the 4 th day and 10 th day after it was planted , how many feet per day does the plant grow", - "Output Program": [ - "n0 = 11.0\nn1 = 30.0\nn2 = 4.0\nn3 = 10.0\nt0 = n1 + 100.0\nt1 = t0 / 100.0\nt2 = n0 * t1\nt3 = n2 * t1\nt4 = t2 - n0\nt5 = n3 - t3\nanswer = t4 / t5\nprint(answer)" - ], - "Output Answer": [ - "0.6875000000000002" - ], - "split": "dev" - }, - { - "Input": "running at the same constant rate , 5 identical machines can produce a total of 270 bottles per minute . at this rate , how many bottles could 10 such machines produce in 4 minutes ?", - "Output Program": [ - "n0 = 5.0\nn1 = 270.0\nn2 = 10.0\nn3 = 4.0\nt0 = n1 / n0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "2160" - ], - "split": "dev" - }, - { - "Input": "the price of maruti car rises by 30 percent while the sales of the car come down by 20 % . what is the percentage change in the total revenue ?", - "Output Program": [ - "n0 = 30.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "dev" - }, - { - "Input": "during a certain season , a team won 70 percent of its first 100 games and 50 percent of its remaining games . if the team won 70 percent of its games for the entire season , what was the total number of games that the team played ?", - "Output Program": [ - "n0 = 70.0\nn1 = 100.0\nn2 = 50.0\nn3 = 70.0\nt0 = n3 / n1\nt1 = n2 / n1\nt2 = n0 - n3\nt3 = t0 - t1\nt4 = t2 / t3\nanswer = n1 + t4\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "dev" - }, - { - "Input": "an 80 - liter solution of cool - drink is made from 10 % jasmine water . if 8 liters of jasmine and 12 liters of water were added to the solution , what percent of the solution is jasmine ?", - "Output Program": [ - "n0 = 80.0\nn1 = 10.0\nn2 = 8.0\nn3 = 12.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n2 + t1\nt3 = t2 / 100.0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "dev" - }, - { - "Input": "a 10 % stock yielding 8 % is quoted at ?", - "Output Program": [ - "n0 = 10.0\nn1 = 8.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "125" - ], - "split": "dev" - }, - { - "Input": "if a trader sold two cars each at rs . 325475 and gains 12 % on the first and loses 12 % on the second , then his profit or loss percent on the whole is ?", - "Output Program": [ - "n0 = 325475.0\nn1 = 12.0\nn2 = 12.0\nt0 = n1 * n1\nanswer = t0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1.44" - ], - "split": "dev" - }, - { - "Input": "a present value of a machine is $ 1000 . its value depletiation rate is 10 % per annum then find the machine value after 2 years ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 10.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "810" - ], - "split": "dev" - }, - { - "Input": "a and b began business with rs . 3000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 756 find the share of a .", - "Output Program": [ - "n0 = 3000.0\nn1 = 4000.0\nn2 = 8.0\nn3 = 1000.0\nn4 = 1000.0\nn5 = 756.0\nt0 = n1 + n3\nt1 = n0 * n2\nt2 = n1 * n2\nt3 = n0 - n3\nt4 = 12.0 - n2\nt5 = t3 * t4\nt6 = t0 * t4\nt7 = t1 + t5\nt8 = t2 + t6\nt9 = t7 + t8\nt10 = n5 / t9\nanswer = t7 * t10\nprint(answer)" - ], - "Output Answer": [ - "288" - ], - "split": "dev" - }, - { - "Input": "two boys starts from the same place walking at the rate of 5.5 kmph and 7.5 kmph respectively in the same direction . what time will they take to be 20 km apart ?", - "Output Program": [ - "n0 = 5.5\nn1 = 7.5\nn2 = 20.0\nt0 = n1 - n0\nanswer = n2 / t0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "dev" - }, - { - "Input": "what is the rate percent when the simple interest on rs . 810 amount to rs . 155 in 4 years ?", - "Output Program": [ - "n0 = 810.0\nn1 = 155.0\nn2 = 4.0\nt0 = n1 * 100.0\nt1 = n0 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "4.783950617283951" - ], - "split": "dev" - }, - { - "Input": "a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 12 % while buying and by 30 % while selling . what is his percentage profit ?", - "Output Program": [ - "n0 = 12.0\nn1 = 30.0\nt0 = n0 + 100.0\nt1 = 100.0 - n1\nt2 = t0 - t1\nt3 = t2 * 100.0\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "dev" - }, - { - "Input": "a statue is being carved by a sculptor . the original piece of marble weighed 180 kg . in the first week 28 percent is cut away . in the second week 18 percent of the remainder is cut away . in the third week the statue is completed when 20 percent of the remainder is cut away . what is the weight of the final statue ?", - "Output Program": [ - "n0 = 180.0\nn1 = 28.0\nn2 = 18.0\nn3 = 20.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = 1.0 - t0\nt4 = 1.0 - t1\nt5 = 1.0 - t2\nt6 = n0 * t3\nt7 = t6 * t4\nanswer = t7 * t5\nprint(answer)" - ], - "Output Answer": [ - "85.01760000000002" - ], - "split": "dev" - }, - { - "Input": "by selling an article at rs . 900 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 25 % ?", - "Output Program": [ - "n0 = 900.0\nn1 = 25.0\nn2 = 25.0\nt0 = n1 + 100.0\nt1 = n0 * 100.0\nt2 = t1 / t0\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "540" - ], - "split": "dev" - }, - { - "Input": "if 5 % more is gained by selling an article for rs . 350 than by selling it for rs . 340 , the cost of the article is", - "Output Program": [ - "n0 = 5.0\nn1 = 350.0\nn2 = 340.0\nt0 = n0 / 100.0\nt1 = n1 - n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "dev" - }, - { - "Input": "in an office , 50 percent of the workers have at least 5 years of service , and a total of 16 workers have at least 10 years of service . if 90 percent of the workers have fewer than 10 years of service , how many of the workers have at least 5 but fewer than 10 years of service ?", - "Output Program": [ - "n0 = 50.0\nn1 = 5.0\nn2 = 16.0\nn3 = 10.0\nn4 = 90.0\nn5 = 10.0\nn6 = 5.0\nn7 = 10.0\nt0 = n3 / 100.0\nt1 = 1.0 / 2.0\nt2 = 2.0 * 4.0\nt3 = n2 / t0\nt4 = n4 * t3\nt5 = t3 * t1\nt6 = t4 / 100.0\nt7 = t6 - t5\nanswer = t7 / t2\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "dev" - }, - { - "Input": "last year a worker saved 6 % of her annual salary . this year , she made 20 % more money than last year and she saved 5 % of her salary . the amount she saved this year was what percent of the amount she saved last year ?", - "Output Program": [ - "n0 = 6.0\nn1 = 20.0\nn2 = 5.0\nt0 = n1 + 100.0\nt1 = n2 / 100.0\nt2 = t0 * t1\nt3 = n0 / t2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "dev" - }, - { - "Input": "a dress on sale in a shop is marked at $ d . during the discount sale its price is reduced by 45 % . staff are allowed a further 40 % reduction on the discounted price . if a staff member buys the dress what will she have to pay in terms of d ?", - "Output Program": [ - "n0 = 45.0\nn1 = 40.0\nt0 = n1 / 100.0\nt1 = 100.0 - n0\nt2 = t1 / 100.0\nt3 = t2 * t0\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "0.33" - ], - "split": "dev" - }, - { - "Input": "the s . i . on a certain sum of money for 2 years at 8 % per annum is half the c . i . on rs . 4000 for 2 years at 10 % per annum . the sum placed on s . i . is ?", - "Output Program": [ - "n0 = 2.0\nn1 = 8.0\nn2 = 4000.0\nn3 = 2.0\nn4 = 10.0\nt0 = n4 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = n0 * t1\nt4 = t2**min(n3, 5)\nt5 = n2 * t4\nt6 = t5 - n2\nt7 = t6 / n3\nanswer = t7 / t3\nprint(answer)" - ], - "Output Answer": [ - "2625.0000000000027" - ], - "split": "dev" - }, - { - "Input": "in the first 20 overs of a cricket game , the run rate was only 4.6 . what should be the run rate in the remaining 30 overs to reach the target of 396 runs ?", - "Output Program": [ - "n0 = 20.0\nn1 = 4.6\nn2 = 30.0\nn3 = 396.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "10.133333333333333" - ], - "split": "dev" - }, - { - "Input": "if the annual increase in the population of a town is 10 % and the present number of people is 15000 , what will the population be in 2 years ?", - "Output Program": [ - "n0 = 10.0\nn1 = 15000.0\nn2 = 2.0\nt0 = n0 + 100.0\nt1 = t0 / 100.0\nt2 = n1 * t1\nanswer = t1 * t2\nprint(answer)" - ], - "Output Answer": [ - "18150" - ], - "split": "dev" - }, - { - "Input": "the present worth of $ 169 due in 2 years at 4 % per annum compound interest is ?", - "Output Program": [ - "n0 = 169.0\nn1 = 2.0\nn2 = 4.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "156.24999999999997" - ], - "split": "dev" - }, - { - "Input": "by selling 11 pencils for a rupee a man loses 10 % . how many for a rupee should he sell in order to gain 20 % ?", - "Output Program": [ - "n0 = 11.0\nn1 = 10.0\nn2 = 20.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = 1.0 / t1\nt3 = t0 * t2\nt4 = 1.0 / t3\nanswer = n0 * t4\nprint(answer)" - ], - "Output Answer": [ - "8.249999999999998" - ], - "split": "dev" - }, - { - "Input": "in the first 10 overs of a cricket game , the run rate was only 4.2 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?", - "Output Program": [ - "n0 = 10.0\nn1 = 4.2\nn2 = 40.0\nn3 = 282.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "dev" - }, - { - "Input": "if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs . 2240 less than the principal . what was the principal ?", - "Output Program": [ - "n0 = 4.0\nn1 = 5.0\nn2 = 2240.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "2800" - ], - "split": "dev" - }, - { - "Input": "90 students represent x percent of the boys at jones elementary school . if the boys at jones elementary make up 50 % of the total school population of x students , what is x ?", - "Output Program": [ - "import math\nn0 = 90.0\nn1 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * 100.0\nt2 = t1 / t0\nanswer = math.sqrt(max(0, t2))\nprint(answer)" - ], - "Output Answer": [ - "134.16407864998737" - ], - "split": "dev" - }, - { - "Input": "after successive discounts of 20 % , 10 % and 5 % a certain good is sold for rs . 6500 . find the actual price of the good .", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nn2 = 5.0\nn3 = 6500.0\nt0 = n3 * 100.0\nt1 = 100.0 - n0\nt2 = n1 * t1\nt3 = t2 / 100.0\nt4 = t1 - t3\nt5 = n2 * t4\nt6 = t5 / 100.0\nt7 = t4 - t6\nanswer = t0 / t7\nprint(answer)" - ], - "Output Answer": [ - "9502.923976608186" - ], - "split": "dev" - }, - { - "Input": "in a restaurant , the profit is 160 % of the cost . if the cost increases by 12 % but the selling price remains constant , approximately what percentage of the selling price is the profit ?", - "Output Program": [ - "n0 = 160.0\nn1 = 12.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t1 + 1.0\nt3 = t0 * 100.0\nt4 = t3 + 100.0\nt5 = t2 * 100.0\nt6 = t4 - t5\nt7 = t6 / t4\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "56.92307692307692" - ], - "split": "dev" - }, - { - "Input": "what quantity of water should taken out to concentrate 21 liters of 40 % acidic liquid to 60 % acidic liquid ?", - "Output Program": [ - "n0 = 21.0\nn1 = 40.0\nn2 = 60.0\nt0 = n0 * n1\nt1 = t0 / n2\nanswer = n0 - t1\nprint(answer)" - ], - "Output Answer": [ - "7" - ], - "split": "dev" - }, - { - "Input": "increasing the original price of an article by 8 percent and then increasing the new price by 8 percent is equivalent to increasing the original price by", - "Output Program": [ - "n0 = 8.0\nn1 = 8.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1 * t1\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "16.64000000000001" - ], - "split": "dev" - }, - { - "Input": "sarah operated her lemonade stand monday through friday over a two week period and made a total profit of 210 dollars . on hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days . each cup she sold had a total cost of 75 cents and sarah did not incur any other costs . if every day she sold exactly 32 cups and 3 of the days were hot , then what was the price of 1 cup on a hot day ?", - "Output Program": [ - "n0 = 210.0\nn1 = 25.0\nn2 = 75.0\nn3 = 32.0\nn4 = 3.0\nn5 = 1.0\nt0 = n5 + 4.0\nt1 = n1 + 100.0\nt2 = n2 / 100.0\nt3 = t1 / 100.0\nt4 = n3 * t2\nt5 = t0 * 2.0\nt6 = t4 * t5\nt7 = n4 * t3\nt8 = t5 - n4\nt9 = n0 + t6\nt10 = n3 * t8\nt11 = n3 * t7\nt12 = t10 + t11\nt13 = t9 / t12\nanswer = t13 * t3\nprint(answer)" - ], - "Output Answer": [ - "1.6351744186046513" - ], - "split": "dev" - }, - { - "Input": "if it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 900 responses are needed , what is the minimum number of questionnaires that should be mailed ?", - "Output Program": [ - "n0 = 60.0\nn1 = 900.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "1500" - ], - "split": "dev" - }, - { - "Input": "julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest . after two years she earned $ 120 and $ 122 from the simple interest account and the compound interest account respectively . if the interest rates for both accounts were the same , what was the amount of julie ' s initial savings ?", - "Output Program": [ - "n0 = 120.0\nn1 = 122.0\nt0 = n1 - n0\nt1 = t0 * 2.0\nt2 = t1 / n0\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "3600" - ], - "split": "dev" - }, - { - "Input": "a worker is paid a regular rate of rs . 30 for completing a survey . the worker completes 100 surveys per week . for any survey involving the use of her cellphone , she is paid at a rate of that is 20 % higher than her regular rate . if she completed 50 surveys involving the use of her cellphone , how much did she get that week ?", - "Output Program": [ - "n0 = 30.0\nn1 = 100.0\nn2 = 20.0\nn3 = 50.0\nt0 = n2 / n1\nt1 = n0 * n1\nt2 = n0 * t0\nt3 = n3 * t2\nanswer = t1 + t3\nprint(answer)" - ], - "Output Answer": [ - "3300" - ], - "split": "dev" - }, - { - "Input": "a shopkeeper sold 30 articles at the cost price of 35 articles . then find the profit % or lost %", - "Output Program": [ - "n0 = 30.0\nn1 = 35.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "16.666666666666664" - ], - "split": "dev" - }, - { - "Input": "the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs . 216 . find the principal ?", - "Output Program": [ - "n0 = 2.0\nn1 = 20.0\nn2 = 216.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n0 * t0\nt3 = t2 + 1.0\nt4 = t1**min(n0, 5)\nt5 = t4 - t3\nanswer = n2 / t5\nprint(answer)" - ], - "Output Answer": [ - "5399.999999999995" - ], - "split": "dev" - }, - { - "Input": "a man buy a book in rs 50 & sale it rs 70 . what is the rate of profit ? ? ?", - "Output Program": [ - "n0 = 50.0\nn1 = 70.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "dev" - }, - { - "Input": "how much interest will $ 10,000 earn in 9 months at an annual rate of 4 % ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 9.0\nn2 = 4.0\nt0 = 3.0 / 4.0\nt1 = n2 / 100.0\nt2 = 100.0**min(2.0, 5)\nt3 = t1 * t2\nanswer = t0 * t3\nprint(answer)" - ], - "Output Answer": [ - "300" - ], - "split": "dev" - }, - { - "Input": "a shopkeeper loses 15 % , if an article is sold for rs . 102 . what should be the selling price of the article to gain 20 % ?", - "Output Program": [ - "n0 = 15.0\nn1 = 102.0\nn2 = 20.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = 1.0 - t0\nt3 = n1 / t2\nt4 = t3 * t1\nanswer = t3 + t4\nprint(answer)" - ], - "Output Answer": [ - "144" - ], - "split": "dev" - }, - { - "Input": "a fruit seller sells mangoes at the rate of rs . 12 per kg and thereby loses 10 % . at what price per kg , he should have sold them to make a profit of 15 % ?", - "Output Program": [ - "n0 = 12.0\nn1 = 10.0\nn2 = 15.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = n0 * t0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "15.333333333333334" - ], - "split": "dev" - }, - { - "Input": "solution y is 20 percent liquid x and 80 percent water . if 2 kilograms of water evaporate from 8 kilograms of solution y and 2 kilograms of solution y are added to the remaining 6 kilograms of liquid , what percent of this new solution is liquid x ?", - "Output Program": [ - "n0 = 20.0\nn1 = 80.0\nn2 = 2.0\nn3 = 8.0\nn4 = 2.0\nn5 = 6.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = n3 * t0\nt3 = n2 * t0\nt4 = n2 * t1\nt5 = n3 * t1\nt6 = t2 + t3\nt7 = t5 - n2\nt8 = t4 + t7\nt9 = t6 + t8\nt10 = t6 / t9\nanswer = t10 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "dev" - }, - { - "Input": "in 1998 the profits of company n were 10 percent of revenues . in 1999 , the revenues of company n fell by 20 percent , but profits were 20 percent of revenues . the profits in 1999 were what percent of the profits in 1998 ?", - "Output Program": [ - "n0 = 1998.0\nn1 = 10.0\nn2 = 1999.0\nn3 = 20.0\nn4 = 20.0\nn5 = 1999.0\nn6 = 1998.0\nt0 = n4 / 100.0\nt1 = n3 / 100.0\nt2 = n1 / 100.0\nt3 = 1.0 - t1\nt4 = t0 * t3\nt5 = t4 / t2\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "160.00000000000003" - ], - "split": "dev" - }, - { - "Input": "increasing the original price of a certain item by 20 percent and then increasing the new price by 20 percent is equivalent to increasing the original price by what percent ?", - "Output Program": [ - "n0 = 20.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "43.99999999999999" - ], - "split": "dev" - }, - { - "Input": "if the cost price of 60 articles is equal to the selling price of 40 articles , then what is the percent profit ?", - "Output Program": [ - "n0 = 60.0\nn1 = 40.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = 100.0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "49.999999999999986" - ], - "split": "dev" - }, - { - "Input": "john is the owner of a company and for thanksgiving he wants to give a turkey to each employee to celebrate the holiday . each turkey cost him $ 25 . if he has 85 employees , how much would john need to spend ?", - "Output Program": [ - "n0 = 25.0\nn1 = 85.0\n\nanswer = n0 * n1\nprint(answer)" - ], - "Output Answer": [ - "2125" - ], - "split": "dev" - }, - { - "Input": "a certain sum is invested at simple interest at 18 % p . a . for two years instead of investing at 12 % p . a . for the same time period . therefore the interest received is more by rs . 480 . find the sum ?", - "Output Program": [ - "n0 = 18.0\nn1 = 12.0\nn2 = 480.0\nt0 = n0 - n1\nt1 = t0 * 2.0\nt2 = t1 / 100.0\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "4000" - ], - "split": "dev" - }, - { - "Input": "last year elaine spent 20 % of her annual earnings on rent . this year she earned 35 % more than last year and she spent 30 % of her annual earnings on rent . the amount she spent on rent this year is what percent of the amount spent on rent last year ?", - "Output Program": [ - "n0 = 20.0\nn1 = 35.0\nn2 = 30.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n2 * t1\nt3 = t2 / n0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "202.5" - ], - "split": "dev" - }, - { - "Input": "an agent , gets a commission of 2.5 % on the sales of cloth . if on a certain day , he gets rs . 21 as commission , the cloth sold through him on that day is worth", - "Output Program": [ - "n0 = 2.5\nn1 = 21.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "840" - ], - "split": "dev" - }, - { - "Input": "a group of boy scouts and girls scouts is going on a rafting trip . 70 % of the scouts arrived with signed permission slips . if 60 % of the scouts were boy scouts and 75 % of the boy scouts arrived with signed permission slips , then what percentage of the girl scouts arrived with signed permission slips ? round to the nearest percent .", - "Output Program": [ - "n0 = 70.0\nn1 = 60.0\nn2 = 75.0\nt0 = n1 * n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = n0 - t2\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "62.5" - ], - "split": "dev" - }, - { - "Input": "in a school of 850 boys , 34 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?", - "Output Program": [ - "n0 = 850.0\nn1 = 34.0\nn2 = 28.0\nn3 = 10.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = 100.0 - t1\nt3 = n0 * t2\nanswer = t3 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "238" - ], - "split": "dev" - }, - { - "Input": "increasing the original price of a certain item by 25 percent and then increasing the new price by 30 percent is equivalent to increasing the original price by what percent ?", - "Output Program": [ - "n0 = 25.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "62.5" - ], - "split": "dev" - }, - { - "Input": "in an examination it is necessary for a candidate to get 45 % of the maximum marks to pass . a candidate who gets 180 marks , fails by 45 marks . find the maximum marks .", - "Output Program": [ - "n0 = 45.0\nn1 = 180.0\nn2 = 45.0\nt0 = n0 + n1\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "dev" - }, - { - "Input": "fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 9 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discounts rates is 25 percent , what is the discount rate on pony jeans ?", - "Output Program": [ - "n0 = 15.0\nn1 = 18.0\nn2 = 9.0\nn3 = 5.0\nn4 = 3.0\nn5 = 2.0\nn6 = 25.0\nt0 = n6 / 100.0\nt1 = n1 * n5\nt2 = n0 * n4\nt3 = t0 * t1\nt4 = t2 - t1\nt5 = n2 - t3\nt6 = t5 / t4\nt7 = t0 - t6\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "dev" - }, - { - "Input": "if 5 % more is gained by selling an article for rs . 360 than by selling it for rs . 340 , the cost of the article is ?", - "Output Program": [ - "n0 = 5.0\nn1 = 360.0\nn2 = 340.0\nt0 = n0 / 100.0\nt1 = n1 - n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "400" - ], - "split": "dev" - }, - { - "Input": "3 candidates in an election and received 6136 , 7636 and 11628 votes respectively . what % of the total votes did the winning candidate got in that election ?", - "Output Program": [ - "n0 = 3.0\nn1 = 6136.0\nn2 = 7636.0\nn3 = 11628.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = n3 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "45.77952755905512" - ], - "split": "dev" - }, - { - "Input": "mr . john used to purchase certain number of mangoes for $ 360 since the price of mangoes is reduced by 10 % he got 12 more mangoes today . find the original price of 135 mangoes .", - "Output Program": [ - "n0 = 360.0\nn1 = 10.0\nn2 = 12.0\nn3 = 135.0\nt0 = 1.0 / 10.0\nt1 = 1.0 - t0\nt2 = n0 / t1\nt3 = t2 - n0\nt4 = t3 / n2\nanswer = n3 * t4\nprint(answer)" - ], - "Output Answer": [ - "450" - ], - "split": "dev" - }, - { - "Input": "a gambler has won 40 % of his 20 poker games for the week so far . if , all of a sudden , his luck changes and he begins winning 80 % of the time , how many more games must he play to end up winning 60 % of all his games for the week ?", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nn2 = 80.0\nn3 = 60.0\nt0 = n3 / 100.0\nt1 = n0 / 100.0\nt2 = n2 / 100.0\nt3 = n1 * t0\nt4 = n1 * t1\nt5 = t2 - t0\nt6 = t3 - t4\nanswer = t6 / t5\nprint(answer)" - ], - "Output Answer": [ - "19.999999999999993" - ], - "split": "dev" - }, - { - "Input": "the malibu country club needs to drain its pool for refinishing . the hose they use to drain it can remove 60 cubic feet of water per minute . if the pool is 60 feet wide by 100 feet long by 10 feet deep and is currently at 80 % capacity , how long will it take to drain the pool ?", - "Output Program": [ - "n0 = 60.0\nn1 = 60.0\nn2 = 100.0\nn3 = 10.0\nn4 = 80.0\nt0 = n4 / 100.0\nt1 = n1 * n2\nt2 = n3 * t1\nt3 = t0 * t2\nanswer = t3 / n0\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "dev" - }, - { - "Input": "the owner of a furniture shop charges his customer 20 % more than the cost price . if a customer paid rs . 8600 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 20.0\nn1 = 8600.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "7166.666666666667" - ], - "split": "dev" - }, - { - "Input": "in a school of 850 boys , 46 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?", - "Output Program": [ - "n0 = 850.0\nn1 = 46.0\nn2 = 28.0\nn3 = 10.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = 100.0 - t1\nt3 = n0 * t2\nanswer = t3 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "136" - ], - "split": "dev" - }, - { - "Input": "ravi purchased a refrigerator and a mobile phone for rs . 15000 and rs . 8000 respectively . he sold the refrigerator at a loss of 5 percent and the mobile phone at a profit of 10 percent . overall he make a .", - "Output Program": [ - "n0 = 15000.0\nn1 = 8000.0\nn2 = 5.0\nn3 = 10.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = t2 + 1.0\nt4 = 1.0 - t1\nt5 = n0 * t4\nt6 = n1 * t3\nt7 = t5 + t6\nanswer = t7 - t0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "dev" - }, - { - "Input": "working alone , mary can pave a driveway in 4 hours and hillary can pave the same driveway in 3 hours . when they work together , mary thrives on teamwork so her rate increases by 33.33 % , but hillary becomes distracted and her rate decreases by 50 % . if they both work together , how many hours will it take to pave the driveway ?", - "Output Program": [ - "n0 = 4.0\nn1 = 3.0\nn2 = 33.33\nn3 = 50.0\nt0 = n2 / 100.0\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = n3 / 100.0\nt4 = t0 + 1.0\nt5 = t2 * t3\nt6 = t4 * t1\nt7 = t6 + t5\nanswer = 1 / t7\nprint(answer)" - ], - "Output Answer": [ - "2.0000333338888985" - ], - "split": "dev" - }, - { - "Input": "6 / 9 of the population of the country of venezia lives in montague province , while the rest lives in capulet province . in the upcoming election , 80 % of montague residents support romeo , while 70 % of capulet residents support juliet ; each resident of venezia supports exactly one of these two candidates . rounded if necessary to the nearest percent , the probability that a juliet supporter chosen at random resides in capulet is", - "Output Program": [ - "n0 = 6.0\nn1 = 9.0\nn2 = 80.0\nn3 = 70.0\nt0 = n3 / 100.0\nt1 = n0 / n1\nt2 = n1 - n0\nt3 = 100.0 - n2\nt4 = t2 / n1\nt5 = t3 / 100.0\nt6 = t0 * t4\nt7 = t5 * t1\nt8 = t7 + t6\nt9 = t6 / t8\nanswer = t9 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "63.63636363636363" - ], - "split": "dev" - }, - { - "Input": "a statue is being carved by a sculptor . the original piece of marble weighed 250 kg . in the first week 30 percent is cut away . in the second week 20 percent of the remainder is cut away . in the third week the statue is completed when 25 percent of the remainder is cut away . what is the weight of the final statue ?", - "Output Program": [ - "n0 = 250.0\nn1 = 30.0\nn2 = 20.0\nn3 = 25.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = 1.0 - t0\nt4 = 1.0 - t1\nt5 = 1.0 - t2\nt6 = n0 * t3\nt7 = t6 * t4\nanswer = t7 * t5\nprint(answer)" - ], - "Output Answer": [ - "105" - ], - "split": "dev" - }, - { - "Input": "the bankers discount of a certain sum of money is rs . 18 and the true discount on the same sum for the same time is rs . 15 . the sum due is :", - "Output Program": [ - "n0 = 18.0\nn1 = 15.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "90" - ], - "split": "dev" - }, - { - "Input": "the true discount on a bill of rs . 2260 is rs . 360 . what is the banker ' s discount ?", - "Output Program": [ - "n0 = 2260.0\nn1 = 360.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "428.2105263157895" - ], - "split": "dev" - }, - { - "Input": "in the first 20 overs of a cricket game , the run rate was only 4.8 . what should be the run rate in the remaining 30 overs to reach the target of 302 runs ?", - "Output Program": [ - "n0 = 20.0\nn1 = 4.8\nn2 = 30.0\nn3 = 302.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "6.866666666666666" - ], - "split": "dev" - }, - { - "Input": "what sum of money will produce rs . 80 as simple interest in 4 years at 3 1 / 2 percent ?", - "Output Program": [ - "n0 = 80.0\nn1 = 4.0\nn2 = 3.0\nn3 = 1.0\nn4 = 2.0\nt0 = n3 / n4\nt1 = n2 + t0\nt2 = n1 * t1\nt3 = t2 / 100.0\nanswer = n0 / t3\nprint(answer)" - ], - "Output Answer": [ - "571.4285714285713" - ], - "split": "dev" - }, - { - "Input": "how long will a boy take to run round a square field of side 35 meters , if he runs at the rate of 9 km / hr ?", - "Output Program": [ - "n0 = 35.0\nn1 = 9.0\nt0 = 1000.0 / 3600.0\nt1 = n0 * 4.0\nt2 = n1 * t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "56" - ], - "split": "dev" - }, - { - "Input": "a man sold 20 articles for $ 60 and gained 20 % . how many articles should he sell for $ 40 to incur a loss 20 % ?", - "Output Program": [ - "n0 = 20.0\nn1 = 60.0\nn2 = 20.0\nn3 = 40.0\nn4 = 20.0\nt0 = n1 * 100 / (100 + n0) # original_price_before gain\nt1 = n3 * 100 / (100 + 1e-5 - n0) # original price before loss\nt2 = t0 / n0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "19.999997500000312" - ], - "split": "dev" - }, - { - "Input": "find the compound interest on $ 10000 in 2 years at 4 % per annum , the interest being compounded half - yearly ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 2.0\nn2 = 4.0\nt0 = n2 / 100.0\nt1 = t0 / n1\nt2 = t1 + 1.0\nt3 = t2**min(n2, 5)\nt4 = n0 * t3\nanswer = t4 - n0\nprint(answer)" - ], - "Output Answer": [ - "824.3215999999993" - ], - "split": "dev" - }, - { - "Input": "if the cost price of 50 articles is equal to the selling price of 45 articles , then the gain or loss percent is ?", - "Output Program": [ - "n0 = 50.0\nn1 = 45.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nt2 = 100.0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "11.11111111111111" - ], - "split": "dev" - }, - { - "Input": "the owner of a furniture shop charges his customer 10 % more than the cost price . if a customer paid rs . 8800 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 10.0\nn1 = 8800.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "7999.999999999999" - ], - "split": "dev" - }, - { - "Input": "a trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg . in order to earn a profit of 25 % , what should be the sale price of the mixed tea ?", - "Output Program": [ - "n0 = 80.0\nn1 = 15.0\nn2 = 20.0\nn3 = 20.0\nn4 = 25.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n2\nt3 = t1 + t2\nt4 = t3 / t0\nt5 = n4 * t4\nt6 = t5 / 100.0\nanswer = t6 + t4\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "dev" - }, - { - "Input": "in a park there are two ponds with both brown ducks and green ducks . in the smaller pond there are 45 ducks and in the larger pond there are 55 ducks . if 20 % of the ducks in the smaller pond are green and 40 % of the ducks in the larger pond are green , then what percentage of ducks are green ?", - "Output Program": [ - "n0 = 45.0\nn1 = 55.0\nn2 = 20.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = n0 * t1\nt4 = n1 * t2\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "31" - ], - "split": "dev" - }, - { - "Input": "in a certain production lot , 40 percent of the toys are red and the remaining toys are green . half of toys are small and half are large . if 10 percent of the toys are red and small , and 40 toys are green and large . how many of the toys are red and large ?", - "Output Program": [ - "n0 = 40.0\nn1 = 10.0\nn2 = 40.0\nt0 = n0 / 100.0\nt1 = 1.0 / 2.0\nt2 = n1 / 100.0\nt3 = t0 + t1\nt4 = t0 - t2\nt5 = t3 - t2\nt6 = 1.0 - t5\nt7 = n0 / t6\nanswer = t7 * t4\nprint(answer)" - ], - "Output Answer": [ - "60.00000000000003" - ], - "split": "dev" - }, - { - "Input": "a sells a bicycle to b and makes a profit of 50 % . b sells the same bicycle to c at a profit of 25 % . if the final s . p . of the bicycle was rs . 225 , find out the cost price of the bicycle for a .", - "Output Program": [ - "n0 = 50.0\nn1 = 25.0\nn2 = 225.0\nt0 = n1 + 100.0\nt1 = n0 + 100.0\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = n2 / t2\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "120" - ], - "split": "dev" - }, - { - "Input": "3 candidates in an election and received 3136 , 7636 and 11628 votes respectively . what % of the total votes did the winning candidate got in that election ?", - "Output Program": [ - "n0 = 3.0\nn1 = 3136.0\nn2 = 7636.0\nn3 = 11628.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = n3 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "51.910714285714285" - ], - "split": "dev" - }, - { - "Input": "jerry went to a shop and bought things worth rs . 20 , out of which 30 % went on sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ?", - "Output Program": [ - "n0 = 20.0\nn1 = 30.0\nn2 = 6.0\nt0 = n1 / 100.0\nt1 = 100.0 / n2\nt2 = t0 * t1\nt3 = t0 + t2\nanswer = n0 - t3\nprint(answer)" - ], - "Output Answer": [ - "14.7" - ], - "split": "dev" - }, - { - "Input": "a soccer team played 130 games and won 60 percent of them . how many games did it win ?", - "Output Program": [ - "n0 = 130.0\nn1 = 60.0\nt0 = n0 * n1\nanswer = t0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "78" - ], - "split": "dev" - }, - { - "Input": "a gambler has won 40 % of his 40 poker games for the week so far . if , all of a sudden , his luck changes and he begins winning 70 % of the time , how many more games must he play to end up winning 60 % of all his games for the week ?", - "Output Program": [ - "n0 = 40.0\nn1 = 40.0\nn2 = 70.0\nn3 = 60.0\nt0 = n3 / 100.0\nt1 = n0 / 100.0\nt2 = n2 / 100.0\nt3 = n1 * t0\nt4 = n1 * t1\nt5 = t2 - t0\nt6 = t3 - t4\nanswer = t6 / t5\nprint(answer)" - ], - "Output Answer": [ - "80.00000000000001" - ], - "split": "dev" - }, - { - "Input": "a sum of money deposited at c . i . amounts to rs . 2420 in 2 years and to rs . 2662 in 3 years . find the rate percent ?", - "Output Program": [ - "n0 = 2420.0\nn1 = 2.0\nn2 = 2662.0\nn3 = 3.0\nt0 = n2 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "dev" - }, - { - "Input": "the profits of qrs company rose 30 % from march to april , then dropped 20 % from april to may , then rose 50 % from may to june . what was the percent increase for the whole quarter , from march to june ?", - "Output Program": [ - "n0 = 30.0\nn1 = 20.0\nn2 = 50.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 + 1.0\nt4 = t1 + 1.0\nt5 = 1.0 - t2\nt6 = t4 * t5\nt7 = t3 * t6\nt8 = t7 - 1.0\nanswer = t8 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "56.00000000000001" - ], - "split": "dev" - }, - { - "Input": "after 10 % of the inhabitants of a village disappeared , a panic set in during which 25 % of the remaining inhabitants left the village . at that time , the population was reduced to 5130 . what was the number of original inhabitants ?", - "Output Program": [ - "n0 = 10.0\nn1 = 25.0\nn2 = 5130.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = 1.0 - t0\nt3 = t1 * t2\nt4 = t2 - t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "7599.999999999999" - ], - "split": "dev" - }, - { - "Input": "40 is subtracted from 70 % of a number , the result is 30 . find the number ?", - "Output Program": [ - "n0 = 40.0\nn1 = 70.0\nn2 = 30.0\nt0 = n0 + n2\nt1 = n1 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "dev" - }, - { - "Input": "a candidate appearing for an examination has to secure 55 % marks to pass paper i . but he secured only 45 marks and failed by 25 marks . what is the maximum mark for paper i ?", - "Output Program": [ - "n0 = 55.0\nn1 = 45.0\nn2 = 25.0\nt0 = n1 + n2\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "127.27272727272727" - ], - "split": "dev" - }, - { - "Input": "by selling 15 pencils for a rupee a man loses 20 % . how many for a rupee should he sell in order to gain 20 % ?", - "Output Program": [ - "n0 = 15.0\nn1 = 20.0\nn2 = 20.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = 1.0 / t1\nt3 = t0 * t2\nt4 = 1.0 / t3\nanswer = n0 * t4\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "dev" - }, - { - "Input": "a shopkeeper sells 200 metres of cloth for rs . 12000 at a loss of rs . 12 per metre . find his cost price for one metre of cloth ?", - "Output Program": [ - "n0 = 200.0\nn1 = 12000.0\nn2 = 12.0\nt0 = n1 / n0\nanswer = n2 + t0\nprint(answer)" - ], - "Output Answer": [ - "72" - ], - "split": "dev" - }, - { - "Input": "if a lends rs . 2000 to b at 15 % per annum and b lends the same sum to c at 17 % per annum then the gain of b in a period of 4 years is ?", - "Output Program": [ - "n0 = 2000.0\nn1 = 15.0\nn2 = 17.0\nn3 = 4.0\nt0 = n0 * n2\nt1 = n0 * n1\nt2 = t0 * n3\nt3 = n3 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nanswer = t4 - t5\nprint(answer)" - ], - "Output Answer": [ - "160" - ], - "split": "dev" - }, - { - "Input": "the c . p of 10 pens is equal to the s . p of 5 pens . find his gain % or loss % ?", - "Output Program": [ - "n0 = 10.0\nn1 = 5.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "dev" - }, - { - "Input": "how much more would rs . 10000 fetch , after two years , if it is put at 20 % p . a . compound interest payable half yearly than if is put at 20 % p . a . compound interest payable yearly ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 20.0\nn2 = 20.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t0 / 2.0\nt3 = t2 + 1.0\nt4 = t1**min(2.0, 5)\nt5 = n0 * t4\nt6 = t3**min(4.0, 5)\nt7 = n0 * t6\nanswer = t7 - t5\nprint(answer)" - ], - "Output Answer": [ - "241.00000000000364" - ], - "split": "dev" - }, - { - "Input": "kelly has had 3 pay cuts in her salary in the past 6 months . if the first pay cut was 8 % , the second pay cut was 14 % and the third was 18 % . what will be the percentage decrease , if the salary is decreased in a single shot ?", - "Output Program": [ - "n0 = 3.0\nn1 = 6.0\nn2 = 8.0\nn3 = 14.0\nn4 = 18.0\nt0 = n2 / 100.0\nt1 = n3 / 100.0\nt2 = n4 / 100.0\nt3 = 1.0 - t0\nt4 = 1.0 - t1\nt5 = 1.0 - t2\nt6 = t3 * t4\nt7 = t6 * t5\nt8 = 1.0 - t7\nanswer = t8 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "35.1216" - ], - "split": "dev" - }, - { - "Input": "a and b began business with rs . 3000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 630 find the share of a ?", - "Output Program": [ - "n0 = 3000.0\nn1 = 4000.0\nn2 = 8.0\nn3 = 1000.0\nn4 = 1000.0\nn5 = 630.0\nt0 = n1 + n3\nt1 = n0 * n2\nt2 = n1 * n2\nt3 = n0 - n3\nt4 = 12.0 - n2\nt5 = t3 * t4\nt6 = t0 * t4\nt7 = t1 + t5\nt8 = t2 + t6\nt9 = t7 + t8\nt10 = n5 / t9\nanswer = t7 * t10\nprint(answer)" - ], - "Output Answer": [ - "240" - ], - "split": "dev" - }, - { - "Input": "20 % of a number is more than 30 % of 120 by 80 . find the number ?", - "Output Program": [ - "n0 = 20.0\nn1 = 30.0\nn2 = 120.0\nn3 = 80.0\nt0 = n1 * n2\nt1 = t0 / 100.0\nt2 = n3 + t1\nt3 = t2 * 100.0\nanswer = t3 / n0\nprint(answer)" - ], - "Output Answer": [ - "580" - ], - "split": "dev" - }, - { - "Input": "exactly 28 % of the reporters for a certain wire service cover local politics in country x . if 30 % of the reporters who cover politics for the wire service do not cover local politics in country x , what percent of the reporters for the wire service do not cover politics ?", - "Output Program": [ - "n0 = 28.0\nn1 = 30.0\nt0 = 100.0 - n1\nt1 = n0 / t0\nt2 = 1.0 - t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "dev" - }, - { - "Input": "a shopkeeper sold an article offering a discount of 5 % and earned a profit of 31.1 % . what would have been the percentage of profit earned if no discount had been offered ?", - "Output Program": [ - "n0 = 5.0\nn1 = 31.1\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * 100.0\nt3 = t2 / t1\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "38" - ], - "split": "test" - }, - { - "Input": "what will be the difference between simple and compound interest at 14 % per annum on a sum of rs . 1000 after 4 years ?", - "Output Program": [ - "n0 = 14.0\nn1 = 1000.0\nn2 = 4.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = n1 * t0\nt3 = n2 * t2\nt4 = t1**min(n2, 5)\nt5 = n1 * t4\nt6 = t5 - n1\nanswer = t6 - t3\nprint(answer)" - ], - "Output Answer": [ - "128.96016000000077" - ], - "split": "test" - }, - { - "Input": "the percentage profit earned by selling an article for rs . 1920 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 40 % profit ?", - "Output Program": [ - "n0 = 1920.0\nn1 = 1280.0\nn2 = 40.0\nt0 = n2 + 100.0\nt1 = n0 + n1\nt2 = t0 / 100.0\nt3 = t1 / 2.0\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "2240" - ], - "split": "test" - }, - { - "Input": "running at the same constant rate , 6 identical machines can produce a total of 360 bottles per minute . at this rate , how many bottles could 10 such machines produce in 4 minutes ?", - "Output Program": [ - "n0 = 6.0\nn1 = 360.0\nn2 = 10.0\nn3 = 4.0\nt0 = n1 / n0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "2400" - ], - "split": "test" - }, - { - "Input": "? % of 360 = 108", - "Output Program": [ - "n0 = 360.0\nn1 = 108.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "test" - }, - { - "Input": "each month a retailer sells 100 identical items . on each item he makes a profit of $ 40 that constitutes 10 % of the item ' s price to the retailer . if the retailer contemplates giving a 5 % discount on the items he sells , what is the least number of items he will have to sell each month to justify the policy of the discount ?", - "Output Program": [ - "n0 = 100.0\nn1 = 40.0\nn2 = 10.0\nn3 = 5.0\nt0 = n0 * n1\nt1 = t0 / n2\nt2 = n1 + t1\nt3 = n3 * t2\nt4 = t3 / n0\nt5 = n1 - t4\nanswer = t0 / t5\nprint(answer)" - ], - "Output Answer": [ - "222.22222222222223" - ], - "split": "test" - }, - { - "Input": "john and ingrid pay 30 % and 40 % tax annually , respectively . if john makes $ 60000 and ingrid makes $ 72000 , what is their combined tax rate ?", - "Output Program": [ - "n0 = 30.0\nn1 = 40.0\nn2 = 60000.0\nn3 = 72000.0\nt0 = n2 + n3\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = n2 * t1\nt4 = n3 * t2\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "35.45454545454545" - ], - "split": "test" - }, - { - "Input": "a trader bought a car at 20 % discount on its original price . he sold it at a 40 % increase on the price he bought it . what percent of profit did he make on the original price ?", - "Output Program": [ - "n0 = 20.0\nn1 = 40.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 / 100.0\nt4 = t3 / 100.0\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12.00000000000001" - ], - "split": "test" - }, - { - "Input": "50 percent of the members of a study group are women , and 30 percent of those women are lawyers . if one member of the study group is to be selected at random , what is the probability that the member selected is a woman lawyer ?", - "Output Program": [ - "n0 = 50.0\nn1 = 30.0\nt0 = 5.0 * 5.0\nt1 = t0 * 4.0\nt2 = n0 / t1\nt3 = n1 / t1\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "0.15" - ], - "split": "test" - }, - { - "Input": "the cost of one photocopy is $ 0.02 . however , a 25 % discount is offered on orders of more than 100 photocopies . if arthur and david have to make 80 copies each , how much will each of them save if they submit a single order of 160 copies ?", - "Output Program": [ - "n0 = 0.02\nn1 = 25.0\nn2 = 100.0\nn3 = 80.0\nn4 = 160.0\nt0 = n0 * n3\nt1 = n2 - n1\nt2 = t1 / n2\nt3 = t0 * 2.0\nt4 = n4 * t2\nt5 = n0 * t4\nt6 = t3 - t5\nanswer = t6 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "0.40000000000000013" - ], - "split": "test" - }, - { - "Input": "a person buys an article at rs . 575 . at what price should he sell the article so as to make a profit of 15 % ?", - "Output Program": [ - "n0 = 575.0\nn1 = 15.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "661.25" - ], - "split": "test" - }, - { - "Input": "a trader sells 40 metres of cloth for rs . 8200 at a profit of rs . 15 per metre of cloth . how much profit will the trder earn on 40 metres of cloth ?", - "Output Program": [ - "n0 = 40.0\nn1 = 8200.0\nn2 = 15.0\nn3 = 40.0\n\nanswer = n0 * n2\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "test" - }, - { - "Input": "what quantity of water should be added to reduce 9 liters of 50 % acidic liquid to 30 % acidic liquid ?", - "Output Program": [ - "n0 = 9.0\nn1 = 50.0\nn2 = 30.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = t1 * 100.0\nt3 = t2 / n2\nanswer = t3 - n0\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "test" - }, - { - "Input": "a student gets 55 % in one subject , 65 % in the other . to get an overall of 55 % how much should get in third subject .", - "Output Program": [ - "n0 = 55.0\nn1 = 65.0\nn2 = 55.0\nt0 = n0 + n1\nt1 = n2 * 3.0\nanswer = t1 - t0\nprint(answer)" - ], - "Output Answer": [ - "45" - ], - "split": "test" - }, - { - "Input": "in an election between two candidates , the winner has a margin of 10 % of the votes polled . if 4000 people change their mind and vote for the loser , the loser would have won by a margin of 10 % of the votes polled . find the total number of votes polled in the election ?", - "Output Program": [ - "n0 = 10.0\nn1 = 4000.0\nn2 = 10.0\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "40000" - ], - "split": "test" - }, - { - "Input": "25 is subtracted from 75.00001 % of a number , the result is 50 . find the number ?", - "Output Program": [ - "n0 = 25.0\nn1 = 75.00001\nn2 = 50.0\nt0 = n0 + n2\nt1 = n1 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "99.99998666666843" - ], - "split": "test" - }, - { - "Input": "a fruit seller had some oranges . he sells 10 % oranges and still has 360 oranges . how many oranges he had originally ?", - "Output Program": [ - "n0 = 10.0\nn1 = 360.0\nt0 = n0 / 100.0\nt1 = n1 * t0\nanswer = n1 + t1\nprint(answer)" - ], - "Output Answer": [ - "396" - ], - "split": "test" - }, - { - "Input": "because he \u2019 s taxed by his home planet , mork pays a tax rate of 40 % on his income , while mindy pays a rate of only 20 % on hers . if mindy earned 4 times as much as mork did , what was their combined tax rate ?", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nn2 = 4.0\nt0 = n2 + 1.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = n2 * t2\nt4 = t1 + t3\nt5 = t4 / t0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "24.000000000000004" - ], - "split": "test" - }, - { - "Input": "a man buys an item at rs . 800 and sells it at the loss of 20 percent . then what is the selling price of that item", - "Output Program": [ - "n0 = 800.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "640" - ], - "split": "test" - }, - { - "Input": "rani bought more apples than oranges . she sells apples at \u20b9 23 apiece and makes 15 % profit . she sells oranges at \u20b9 10 apiece and makes 25 % profit . if she gets \u20b9 653 after selling all the apples and oranges , find her profit percentage z .", - "Output Program": [ - "n0 = 23.0\nn1 = 15.0\nn2 = 10.0\nn3 = 25.0\nn4 = 653.0\nt0 = n1 + 2.0\nt1 = n3 / 100.0\nt2 = n2 * 2.0\nt3 = t2 + 1.0\nt4 = t1 + 1.0\nt5 = n2 / t4\nt6 = t3 * t2\nt7 = t0 * t5\nt8 = t6 + t7\nt9 = n4 - t8\nt10 = t9 / t8\nanswer = t10 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "17.446043165467625" - ], - "split": "test" - }, - { - "Input": "john makes $ 40 a week from his job . he earns a raise and now makes $ 70 a week . what is the % increase ?", - "Output Program": [ - "n0 = 40.0\nn1 = 70.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "test" - }, - { - "Input": "an uneducated retailer marks all his goods at 50 % above the cost price and thinking that he will still make 25 % profit , offers a discount of 25 % on the marked price . what is his actual profit on the sales ?", - "Output Program": [ - "n0 = 50.0\nn1 = 25.0\nn2 = 25.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t2 * t1\nt4 = t2 - t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12.5" - ], - "split": "test" - }, - { - "Input": "in a particular state , 60 % of the counties received some rain on monday , and 65 % of the counties received some rain on tuesday . no rain fell either day in 25 % of the counties in the state . what percent of the counties received some rain on monday and tuesday ?", - "Output Program": [ - "n0 = 60.0\nn1 = 65.0\nn2 = 25.0\nt0 = n0 + n1\nt1 = 100.0 - n2\nanswer = t0 - t1\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "test" - }, - { - "Input": "two boys starts from the same place walking at the rate of 5 kmph and 5.5 kmph respectively in the same direction . what time will they take to be 8.5 km apart ?", - "Output Program": [ - "n0 = 5.0\nn1 = 5.5\nn2 = 8.5\nt0 = n1 - n0\nanswer = n2 / t0\nprint(answer)" - ], - "Output Answer": [ - "17" - ], - "split": "test" - }, - { - "Input": "a and b began business with rs . 3000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 672 find the share of a .", - "Output Program": [ - "n0 = 3000.0\nn1 = 4000.0\nn2 = 8.0\nn3 = 1000.0\nn4 = 1000.0\nn5 = 672.0\nt0 = n1 + n3\nt1 = n0 * n2\nt2 = n1 * n2\nt3 = n0 - n3\nt4 = 12.0 - n2\nt5 = t3 * t4\nt6 = t0 * t4\nt7 = t1 + t5\nt8 = t2 + t6\nt9 = t7 + t8\nt10 = n5 / t9\nanswer = t7 * t10\nprint(answer)" - ], - "Output Answer": [ - "256" - ], - "split": "test" - }, - { - "Input": "by selling 20 pencils for a rupee a man loses 60 % . how many for a rupee should he sell in order to gain 60 % ?", - "Output Program": [ - "n0 = 20.0\nn1 = 60.0\nn2 = 60.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = 1.0 / t1\nt3 = t0 * t2\nt4 = 1.0 / t3\nanswer = n0 * t4\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "test" - }, - { - "Input": "after decreasing 24 % in the price of an article costs rs . 1216 . find the actual cost of an article ?", - "Output Program": [ - "n0 = 24.0\nn1 = 1216.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "1600" - ], - "split": "test" - }, - { - "Input": "a bag marked at $ 250 is sold for $ 120 . the rate of discount is ?", - "Output Program": [ - "n0 = 250.0\nn1 = 120.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "52" - ], - "split": "test" - }, - { - "Input": "john and ingrid pay 30 % and 40 % tax annually , respectively . if john makes $ 56000 and ingrid makes $ 73000 , what is their combined tax rate ?", - "Output Program": [ - "n0 = 30.0\nn1 = 40.0\nn2 = 56000.0\nn3 = 73000.0\nt0 = n2 + n3\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = n2 * t1\nt4 = n3 * t2\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "35.65891472868217" - ], - "split": "test" - }, - { - "Input": "car z travels 48 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour , but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour . how many miles does car z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour ?", - "Output Program": [ - "n0 = 48.0\nn1 = 45.0\nn2 = 20.0\nn3 = 60.0\nn4 = 10.0\nn5 = 60.0\nt0 = n2 / 100.0\nt1 = 1.0 - t0\nt2 = n0 * t1\nanswer = n4 * t2\nprint(answer)" - ], - "Output Answer": [ - "384.00000000000006" - ], - "split": "test" - }, - { - "Input": "what is the rate percent when the simple interest on rs . 2000 amount to rs . 320 in 4 years ?", - "Output Program": [ - "n0 = 2000.0\nn1 = 320.0\nn2 = 4.0\nt0 = n1 * 100.0\nt1 = n0 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "test" - }, - { - "Input": "a shopkeeper sold 8 articles at the cost price of 10 articles . then find the profit % or lost %", - "Output Program": [ - "n0 = 8.0\nn1 = 10.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "test" - }, - { - "Input": "2 is what percent of 40 ?", - "Output Program": [ - "n0 = 2.0\nn1 = 40.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "test" - }, - { - "Input": "a dealer purchases 15 articles for rs . 25 and sells 12 articles for rs . 30 . find the profit percentage ?", - "Output Program": [ - "n0 = 15.0\nn1 = 25.0\nn2 = 12.0\nn3 = 30.0\nt0 = 1.0 + 4.0\nt1 = n1 * 4.0\nt2 = n3 * t0\nanswer = t2 - t1\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "test" - }, - { - "Input": "the cost price of an article is 64 % of the marked price . calculate the gain percent after allowing a discount of 20 % ?", - "Output Program": [ - "n0 = 64.0\nn1 = 20.0\nt0 = 100.0 - n1\nt1 = t0 / n0\nt2 = t1 - 1.0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "test" - }, - { - "Input": "20 is subtracted from 60 % of a number , the result is 88 . find the number ?", - "Output Program": [ - "n0 = 20.0\nn1 = 60.0\nn2 = 88.0\nt0 = n0 + n2\nt1 = n1 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "180" - ], - "split": "test" - }, - { - "Input": "a solution contains 8 parts of water for every 7 parts of lemonade syrup . how many parts of the solution should be removed and replaced with water so that the solution will now contain 35 % lemonade syrup ?", - "Output Program": [ - "n0 = 8.0\nn1 = 7.0\nn2 = 35.0\nt0 = n0 + n1\nt1 = 2.0 + 3.0\nt2 = n1 / t0\nt3 = 2.0 / t1\nt4 = t2 - t3\nt5 = t4 / t2\nanswer = t0 * t5\nprint(answer)" - ], - "Output Answer": [ - "2.1428571428571423" - ], - "split": "test" - }, - { - "Input": "running at the same constant rate , 100 identical machines can produce a total of 500 coffee bar per minute . at this rate , how many bottles could 20 such machines produce in 2 minutes ?", - "Output Program": [ - "n0 = 100.0\nn1 = 500.0\nn2 = 20.0\nn3 = 2.0\nt0 = n1 / n0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "test" - }, - { - "Input": "a , b and c invested rs . 6000 , rs . 4000 and rs . 10000 respectively , in a partnership business . find the share of a in profit of rs . 11000 after a year ?", - "Output Program": [ - "n0 = 6000.0\nn1 = 4000.0\nn2 = 10000.0\nn3 = 11000.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n0 / t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "3300" - ], - "split": "test" - }, - { - "Input": "at what rate percent on simple interest will rs . 750 amount to rs . 825 in 5 years ?", - "Output Program": [ - "n0 = 750.0\nn1 = 825.0\nn2 = 5.0\nt0 = n1 - n0\nt1 = t0 / n0\nt2 = t1 / n2\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2" - ], - "split": "test" - }, - { - "Input": "a car dealership has 40 cars on the lot , 15 % of which are silver . if the dealership receives a new shipment of 80 cars , 45 % of which are not silver , what percentage of total number of cars are silver ?", - "Output Program": [ - "n0 = 40.0\nn1 = 15.0\nn2 = 80.0\nn3 = 45.0\nt0 = n0 + n2\nt1 = n1 / 100.0\nt2 = n3 / 100.0\nt3 = n0 * t1\nt4 = n2 * t2\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "35" - ], - "split": "test" - }, - { - "Input": "raman mixed 24 kg of butter at rs . 150 per kg with 36 kg butter at the rate of rs . 125 per kg . at what price per kg should he sell the mixture to make a profit of 40 % in the transaction ?", - "Output Program": [ - "n0 = 24.0\nn1 = 150.0\nn2 = 36.0\nn3 = 125.0\nn4 = 40.0\nt0 = n0 + n2\nt1 = n4 / 100.0\nt2 = n0 * n1\nt3 = n2 * n3\nt4 = t2 + t3\nt5 = t4 / t0\nt6 = t5 * t1\nanswer = t5 + t6\nprint(answer)" - ], - "Output Answer": [ - "189" - ], - "split": "test" - }, - { - "Input": "a towel , when bleached , lost 30 % of its length and 20 % of its breadth . what is the percentage decrease in area ?", - "Output Program": [ - "n0 = 30.0\nn1 = 20.0\nt0 = 100.0 * 100.0\nt1 = 100.0 - n0\nt2 = 100.0 - n1\nt3 = t1 * t2\nt4 = t0 - t3\nanswer = t4 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "44" - ], - "split": "test" - }, - { - "Input": "fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 8.73 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discount rates is 22 percent , what is the discount rate on pony jeans ?", - "Output Program": [ - "n0 = 15.0\nn1 = 18.0\nn2 = 8.73\nn3 = 5.0\nn4 = 3.0\nn5 = 2.0\nn6 = 22.0\nt0 = n6 / 100.0\nt1 = n1 * n5\nt2 = n0 * n4\nt3 = t0 * t1\nt4 = t2 - t1\nt5 = n2 - t3\nt6 = t5 / t4\nt7 = t0 - t6\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "12.999999999999995" - ], - "split": "test" - }, - { - "Input": "a trader bought a car at 20 % discount on its original price . he sold it at a 80 % increase on the price he bought it . what percent of profit did he make on the original price ?", - "Output Program": [ - "n0 = 20.0\nn1 = 80.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 / 100.0\nt4 = t3 / 100.0\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "43.99999999999999" - ], - "split": "test" - }, - { - "Input": "by weight , liquid x makes up 0.8 percent of solution a and 1.8 percent of solution b . if 250 grams of solution a are mixed with 700 grams of solution b , then liquid x accounts for what percent of the weight of the resulting solution ?", - "Output Program": [ - "n0 = 0.8\nn1 = 1.8\nn2 = 250.0\nn3 = 700.0\nt0 = n0 * n2\nt1 = n1 * n3\nt2 = t0 + t1\nanswer = t2 / 1000.0\nprint(answer)" - ], - "Output Answer": [ - "1.46" - ], - "split": "test" - }, - { - "Input": "the effective annual rate of interest corresponding to a nominal rate of 14 % per annum payable half - yearly is ?", - "Output Program": [ - "n0 = 14.0\nt0 = n0 / 2.0\nt1 = t0 + t0\nt2 = t0 * t0\nt3 = t2 / 100.0\nanswer = t1 + t3\nprint(answer)" - ], - "Output Answer": [ - "14.49" - ], - "split": "test" - }, - { - "Input": "machine a produces 100 parts thrice as fast as machine b does . machine b produces 100 parts in 30 minutes . if each machine produces parts at a constant rate , how many parts does machine a produce in 6 minutes ?", - "Output Program": [ - "n0 = 100.0\nn1 = 100.0\nn2 = 30.0\nn3 = 6.0\nt0 = n0 / n2\nt1 = t0 * 3.0\nanswer = n3 * t1\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "test" - }, - { - "Input": "the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs . 288 . find the principal ?", - "Output Program": [ - "n0 = 2.0\nn1 = 20.0\nn2 = 288.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n0 * t0\nt3 = t2 + 1.0\nt4 = t1**min(n0, 5)\nt5 = t4 - t3\nanswer = n2 / t5\nprint(answer)" - ], - "Output Answer": [ - "7199.999999999994" - ], - "split": "test" - }, - { - "Input": "63.2 is what percent of 867 ?", - "Output Program": [ - "n0 = 63.2\nn1 = 867.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "7.289504036908881" - ], - "split": "test" - }, - { - "Input": "of the 120 passengers on flight 750 , 60 % are female . 10 % of the passengers sit in first class , and the rest of the passengers sit in coach class . if 1 / 3 of the passengers in first class are male , how many females are there in coach class ?", - "Output Program": [ - "n0 = 120.0\nn1 = 750.0\nn2 = 60.0\nn3 = 10.0\nn4 = 1.0\nn5 = 3.0\nt0 = n2 / 100.0\nt1 = n3 / 100.0\nt2 = n0 * t0\nt3 = n0 * t1\nt4 = t3 / n5\nt5 = t3 - t4\nanswer = t2 - t5\nprint(answer)" - ], - "Output Answer": [ - "64" - ], - "split": "test" - }, - { - "Input": "how many kilograms of sugar costing rs . 9 per kg must be mixed with 27 kg of sugar costing rs . 7 per kg so that there may be a gain of 10 % by selling the mixture at rs . 9.24 per kg ?", - "Output Program": [ - "n0 = 9.0\nn1 = 27.0\nn2 = 7.0\nn3 = 10.0\nn4 = 9.24\nt0 = n3 / 100.0\nt1 = n1 * n2\nt2 = t0 + 1.0\nt3 = n4 / t2\nt4 = n1 * t3\nt5 = n0 - t3\nt6 = t4 - t1\nanswer = t6 / t5\nprint(answer)" - ], - "Output Answer": [ - "63.00000000000006" - ], - "split": "test" - }, - { - "Input": "the cost of one photocopy is $ 0.02 . however , a 25 % discount is offered on orders of more than 100 photocopies . if saran and david have to make 80 copies each , how much will each of them save if they submit a single order of 160 copies ?", - "Output Program": [ - "n0 = 0.02\nn1 = 25.0\nn2 = 100.0\nn3 = 80.0\nn4 = 160.0\nt0 = n0 * n3\nt1 = n2 - n1\nt2 = t1 / n2\nt3 = t0 * 2.0\nt4 = n4 * t2\nt5 = n0 * t4\nt6 = t3 - t5\nanswer = t6 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "0.40000000000000013" - ], - "split": "test" - }, - { - "Input": "a glass was filled with 10 ounces of water , and 0.05 ounce of the water evaporated each day during a 20 - day period . what percent of the original amount of water evaporated during this period ?", - "Output Program": [ - "n0 = 10.0\nn1 = 0.05\nn2 = 20.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "test" - }, - { - "Input": "x and y invested in a business . they earned some profit which they divided in the ratio of 2 : 3 . if x invested rs . 40000 , the amount invested by y is", - "Output Program": [ - "n0 = 2.0\nn1 = 3.0\nn2 = 40000.0\nt0 = n0 + n1\nt1 = n1 / t0\nt2 = n2 * t0\nt3 = t2 / n0\nanswer = t3 * t1\nprint(answer)" - ], - "Output Answer": [ - "60000" - ], - "split": "test" - }, - { - "Input": "an article with cost price of 245 is sold at 34 % profit . what is the selling price ?", - "Output Program": [ - "n0 = 245.0\nn1 = 34.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "328.3" - ], - "split": "test" - }, - { - "Input": "x and y started a business by investing rs . 36000 and rs . 42000 respectively after 4 months z joined in the business with an investment of rs . 48000 , then find share of z in the profit of rs . 13750 ?", - "Output Program": [ - "n0 = 36000.0\nn1 = 42000.0\nn2 = 4.0\nn3 = 48000.0\nn4 = 13750.0\nt0 = 3.0 * 4.0\nt1 = n0 * t0\nt2 = n1 * t0\nt3 = t0 - 4.0\nt4 = t1 + t2\nt5 = n3 * t3\nt6 = t4 + t5\nt7 = n4 / t6\nanswer = t7 * t5\nprint(answer)" - ], - "Output Answer": [ - "4000" - ], - "split": "test" - }, - { - "Input": "machine a and machine b are each used to manufacture 550 sprockets . it takes machine a 10 hours longer to produce 550 sprockets than machine b . machine b produces 10 percent more sprockets per hour than machine a . how many sprockets per hour does machine a produces ?", - "Output Program": [ - "n0 = 550.0\nn1 = 10.0\nn2 = 550.0\nn3 = 10.0\nt0 = n1 + 100.0\nt1 = n0 * n1\nt2 = t0 / 100.0\nt3 = t2 * t1\nt4 = n0 * t2\nt5 = t4 - n0\nt6 = t3 / t5\nanswer = n0 / t6\nprint(answer)" - ], - "Output Answer": [ - "4.999999999999999" - ], - "split": "test" - }, - { - "Input": "in a certain pond , 50 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 4 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?", - "Output Program": [ - "n0 = 50.0\nn1 = 50.0\nn2 = 4.0\nt0 = n2 / n1\nanswer = n0 / t0\nprint(answer)" - ], - "Output Answer": [ - "625" - ], - "split": "test" - }, - { - "Input": "an inspector rejects 0.04 % of the meters as defective . how many will he examine to reject 2 ?", - "Output Program": [ - "n0 = 0.04\nn1 = 2.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "5000" - ], - "split": "test" - }, - { - "Input": "john makes $ 50 a week from his job . he earns a raise andnow makes $ 90 a week . what is the % increase ?", - "Output Program": [ - "n0 = 50.0\nn1 = 90.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "test" - }, - { - "Input": "the present worth of rs . 1014 due in 2 years at 4 % per annum compound interest is", - "Output Program": [ - "n0 = 1014.0\nn1 = 2.0\nn2 = 4.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "937.4999999999999" - ], - "split": "test" - }, - { - "Input": "the total cost of 100 paper plates and 200 paper cups is $ 8.00 at the same rates what is the total cost of 20 of the plates and 40 of the cups ?", - "Output Program": [ - "n0 = 100.0\nn1 = 200.0\nn2 = 8.0\nn3 = 20.0\nn4 = 40.0\nt0 = n3 / n0\nanswer = n2 * t0\nprint(answer)" - ], - "Output Answer": [ - "1.6" - ], - "split": "test" - }, - { - "Input": "in an election , candidate a got 65 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favor of candidate ?", - "Output Program": [ - "n0 = 65.0\nn1 = 15.0\nn2 = 560000.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = 1.0 - t1\nt3 = n2 * t2\nanswer = t0 * t3\nprint(answer)" - ], - "Output Answer": [ - "309400" - ], - "split": "test" - }, - { - "Input": "sales price is $ 60 , gross profit is 140 % of cost , what is the value of gross profit ?", - "Output Program": [ - "n0 = 60.0\nn1 = 140.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n0 / t1\nanswer = n0 - t2\nprint(answer)" - ], - "Output Answer": [ - "35" - ], - "split": "test" - }, - { - "Input": "the marked price of a book is 20 % more than the cost price . after the book is sold , the vendor realizes that he had wrongly raised the cost price by a margin of 25 % . if the marked price of the book is rs . 30 , what is the original cost price of the book ?", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nn2 = 30.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = n2 / t2\nanswer = t4 / t3\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "test" - }, - { - "Input": "if annual decrease in the population of a town is 5 % and the present number of people is 40000 what will the population be in 2 years ?", - "Output Program": [ - "n0 = 5.0\nn1 = 40000.0\nn2 = 2.0\nt0 = 100.0 - n0\nt1 = t0 / 100.0\nt2 = t1**min(n2, 5)\nanswer = n1 * t2\nprint(answer)" - ], - "Output Answer": [ - "36100" - ], - "split": "test" - }, - { - "Input": "a pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer \u2019 s suggested retail price . if during a sale , the store discounts an additional 20 percent from the discount price , what would be the lowest possible price of a container of pet food that had a manufacturer \u2019 s suggested retail price o f $ 20.00 ?", - "Output Program": [ - "n0 = 10.0\nn1 = 30.0\nn2 = 20.0\nn3 = 20.0\nt0 = 100.0 - n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = n3 * t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "11.200000000000001" - ], - "split": "test" - }, - { - "Input": "a certain college ' s enrollment at the beginning of 1992 was 30 percent greater than it was at the beginning of 1991 , and its enrollment at the beginning of 1993 was 10 percent greater than it was at the beginning of 1992 . the college ' s enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ?", - "Output Program": [ - "n0 = 1992.0\nn1 = 30.0\nn2 = 1991.0\nn3 = 1993.0\nn4 = 10.0\nn5 = 1992.0\nn6 = 1993.0\nn7 = 1991.0\nt0 = n1 + 100.0\nt1 = n4 + 100.0\nt2 = t1 / 100.0\nt3 = t0 * t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "43" - ], - "split": "test" - }, - { - "Input": "a merchant marks his goods up by 30 % and then offers a discount of 20 % on the marked price . what % profit does the merchant make after the discount ?", - "Output Program": [ - "n0 = 30.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = n1 * t0\nt2 = t1 / 100.0\nt3 = t0 - t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "4" - ], - "split": "test" - }, - { - "Input": "the owner of a furniture shop charges his customer 42 % more than the cost price . if a customer paid rs . 8300 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 42.0\nn1 = 8300.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "5845.070422535212" - ], - "split": "test" - }, - { - "Input": "an article with cost price of 320 is sold at 18 % profit . what is the selling price ?", - "Output Program": [ - "n0 = 320.0\nn1 = 18.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "377.6" - ], - "split": "test" - }, - { - "Input": "the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs . 432 . find the principal ?", - "Output Program": [ - "n0 = 2.0\nn1 = 20.0\nn2 = 432.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n0 * t0\nt3 = t2 + 1.0\nt4 = t1**min(n0, 5)\nt5 = t4 - t3\nanswer = n2 / t5\nprint(answer)" - ], - "Output Answer": [ - "10799.99999999999" - ], - "split": "test" - }, - { - "Input": "the population of a village is 14300 . it increases annually at the rate of 15 % p . a . what will be its population after 2 years ?", - "Output Program": [ - "n0 = 14300.0\nn1 = 15.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "18911.749999999996" - ], - "split": "test" - }, - { - "Input": "shopkeeper rise price by 33 % and gives successive discount of 10 % and 15 % . what is overall % gain or loss ?", - "Output Program": [ - "n0 = 33.0\nn1 = 10.0\nn2 = 15.0\nt0 = n0 + 100.0\nt1 = 100.0 - n2\nt2 = 100.0 - n1\nt3 = t1 / 100.0\nt4 = t2 / 100.0\nt5 = t0 * t4\nt6 = t3 * t5\nanswer = t6 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "1.7450000000000045" - ], - "split": "test" - }, - { - "Input": "when the price of an article was reduced by 25 % its sale increased by 80 % . what was the net effect on the sale ?", - "Output Program": [ - "n0 = 25.0\nn1 = 80.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 / 100.0\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "35" - ], - "split": "test" - }, - { - "Input": "one fourth of a solution that was 10 % sugar by weight was replaced with by a second solution resulting in a solution that was 16 percent sugar by weight . the second solution was what percent sugar by weight ?", - "Output Program": [ - "n0 = 10.0\nn1 = 16.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 / 4.0\nt3 = t0 * 100.0\nt4 = t2 * 100.0\nt5 = 100.0 - t4\nt6 = t1 * t5\nt7 = t3 - t6\nt8 = t7 / t4\nanswer = t8 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "34" - ], - "split": "test" - }, - { - "Input": "if tim had lunch at $ 50.50 and he gave 10 % tip , how much did he spend ?", - "Output Program": [ - "n0 = 50.5\nn1 = 10.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "55.55" - ], - "split": "test" - }, - { - "Input": "company a imported 12,000 widgets made of either brass or aluminum . the widgets are painted blue , red or green . if 10 percent of the widgets are made of brass and of those 20 percent are painted green and 40 percent are painted red how many brass widgets painted blue were imported ?", - "Output Program": [ - "n0 = 12000.0\nn1 = 10.0\nn2 = 20.0\nn3 = 40.0\nt0 = n1 + 2.0\nt1 = n1 / 100.0\nt2 = n3 / 100.0\nt3 = t0 / n1\nt4 = t1 * t2\nt5 = t3 * t4\nt6 = t5 * 100.0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "480.00000000000006" - ], - "split": "test" - }, - { - "Input": "solution x is 30 % chemical a and 70 % chemical b by volume . solution y is 40 % chemical a and 60 % chemical b by volume . if a mixture of x and y is 36 % chemical a , what percent of the mixture is solution x ?", - "Output Program": [ - "n0 = 30.0\nn1 = 70.0\nn2 = 40.0\nn3 = 60.0\nn4 = 36.0\nt0 = n2 - n4\nt1 = n4 - n0\nt2 = t0 / t1\nt3 = t2 + 1.0\nt4 = t2 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "test" - }, - { - "Input": "on selling 9 balls at rs . 720 , there is a loss equal to the cost price of 5 balls . the cost price of a ball is :", - "Output Program": [ - "n0 = 9.0\nn1 = 720.0\nn2 = 5.0\nt0 = n0 - n2\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "180" - ], - "split": "test" - }, - { - "Input": "boy sells a book for rs . 630 he gets a loss of 10 % , to gain 10 % , what should be the sp ?", - "Output Program": [ - "n0 = 630.0\nn1 = 10.0\nn2 = 10.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = 1.0 - t0\nt3 = n0 / t2\nt4 = t3 * t1\nanswer = t3 + t4\nprint(answer)" - ], - "Output Answer": [ - "770" - ], - "split": "test" - }, - { - "Input": "sarah operated her lemonade stand monday through friday over a two week period and made a total profit of 350 dollars . on hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days . each cup she sold had a total cost of 75 cents and sarah did not incur any other costs . if every day she sold exactly 32 cups and 3 of the days were hot , then what was the price of 1 cup on a hot day ?", - "Output Program": [ - "n0 = 350.0\nn1 = 25.0\nn2 = 75.0\nn3 = 32.0\nn4 = 3.0\nn5 = 1.0\nt0 = n5 + 4.0\nt1 = n1 + 100.0\nt2 = n2 / 100.0\nt3 = t1 / 100.0\nt4 = n3 * t2\nt5 = t0 * 2.0\nt6 = t4 * t5\nt7 = n4 * t3\nt8 = t5 - n4\nt9 = n0 + t6\nt10 = n3 * t8\nt11 = n3 * t7\nt12 = t10 + t11\nt13 = t9 / t12\nanswer = t13 * t3\nprint(answer)" - ], - "Output Answer": [ - "2.1438953488372094" - ], - "split": "test" - }, - { - "Input": "kavi spends 50 % of his monthly salary on food and saves 80 % of the remaining amount . if his monthly salary is rs . 19000 , how much money does he save every month ?", - "Output Program": [ - "n0 = 50.0\nn1 = 80.0\nn2 = 19000.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nt2 = n1 * t1\nt3 = t2 / 100.0\nanswer = t3 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "3800" - ], - "split": "test" - }, - { - "Input": "the simple interest on rs . 10 for 4 months at the rate of 3 paise per rupeeper month is", - "Output Program": [ - "n0 = 10.0\nn1 = 4.0\nn2 = 3.0\nt0 = n0 * n1\nt1 = n2 * t0\nanswer = t1 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1.2" - ], - "split": "test" - }, - { - "Input": "a man can row his boat with the stream at 12 km / h and against the stream in 8 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 12.0\nn1 = 8.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "2" - ], - "split": "test" - }, - { - "Input": "a fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans . a customer bought the pair of jeans for 35 percent more than the retailer paid for them . the price the customer paid was what percent greater than the cost of manufacturing the jeans ?", - "Output Program": [ - "n0 = 40.0\nn1 = 35.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t3 * 100.0\nt5 = t2 * t4\nt6 = t5 / 100.0\nt7 = t6 - 1.0\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "88.99999999999999" - ], - "split": "test" - }, - { - "Input": "a cycle is bought for rs . 750 and sold for rs . 1080 , find the gain percent ?", - "Output Program": [ - "n0 = 750.0\nn1 = 1080.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "44" - ], - "split": "test" - }, - { - "Input": "reena took a loan of $ . 1200 with simple interest for as many years as the rate of interest . if she paid $ 300 as interest at the end of the loan period , what was the rate of interest ?", - "Output Program": [ - "import math\nn0 = 1200.0\nn1 = 300.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nanswer = math.sqrt(max(0, t1))\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "test" - }, - { - "Input": "one ball will drop from a certain height . the height it will reach after rebounding from the floor is 50 percent of the previous height . the total travel is 150 cm when it touches the floor on third time . what is the value of the original height ?", - "Output Program": [ - "n0 = 50.0\nn1 = 150.0\nt0 = n0 / 100.0\nt1 = t0 + 2.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "test" - }, - { - "Input": "the banker \u00e2 \u20ac \u2122 s discount of a certain sum of money is rs . 90 and the true discount on the same sum for the same time is rs . 60 . the sum due is", - "Output Program": [ - "n0 = 90.0\nn1 = 60.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "180" - ], - "split": "test" - }, - { - "Input": "a technician makes a round - trip to and from a certain service center by the same route . if the technician completes the drive to the center and then completes 80 percent of the drive from the center , what percent of the round - trip has the technician completed ?", - "Output Program": [ - "n0 = 80.0\nt0 = 100.0 / 2.0\nt1 = n0 * t0\nt2 = t1 / 100.0\nanswer = t0 + t2\nprint(answer)" - ], - "Output Answer": [ - "90" - ], - "split": "test" - }, - { - "Input": "harkamal purchased 8 kg of grapes at the rate of 75 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 8.0\nn1 = 75.0\nn2 = 9.0\nn3 = 55.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1095" - ], - "split": "test" - }, - { - "Input": "a dealer purchases 15 articles for rs . 25 and sells 12 articles for rs . 35 . find the profit percentage ?", - "Output Program": [ - "n0 = 15.0\nn1 = 25.0\nn2 = 12.0\nn3 = 35.0\nt0 = 1.0 + 4.0\nt1 = n1 * 4.0\nt2 = n3 * t0\nanswer = t2 - t1\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "test" - }, - { - "Input": "if the given two numbers are respectively 7 % and 28 % of a third number , then what percentage is the first of the second ?", - "Output Program": [ - "n0 = 7.0\nn1 = 28.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "test" - }, - { - "Input": "if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs . 2160 less than the principal . what was the principal ?", - "Output Program": [ - "n0 = 4.0\nn1 = 5.0\nn2 = 2160.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "2700" - ], - "split": "test" - }, - { - "Input": "how much 60 % of 50 is greater than 34 % of 30 ?", - "Output Program": [ - "n0 = 60.0\nn1 = 50.0\nn2 = 34.0\nn3 = 30.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "19.8" - ], - "split": "test" - }, - { - "Input": "the percentage profit earned by selling an article for rs . 1920 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 25 % profit ?", - "Output Program": [ - "n0 = 1920.0\nn1 = 1280.0\nn2 = 25.0\nt0 = n2 + 100.0\nt1 = n0 + n1\nt2 = t0 / 100.0\nt3 = t1 / 2.0\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "2000" - ], - "split": "test" - }, - { - "Input": "a sum fetched a total simple interest of 4043.25 at the rate of 9 % . p . a . in 5 years . what is the sum ?", - "Output Program": [ - "n0 = 4043.25\nn1 = 9.0\nn2 = 5.0\nt0 = n0 * 100.0\nt1 = t0 / n1\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "8985" - ], - "split": "test" - }, - { - "Input": "rs . 600 amounts to rs . 900 in 3 years at simple interest . if the interest is increased by 4 % , it would amount to how much ?", - "Output Program": [ - "n0 = 600.0\nn1 = 900.0\nn2 = 3.0\nn3 = 4.0\nt0 = n3 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "674.9184" - ], - "split": "test" - }, - { - "Input": "a certain deep blue paint contains 45 percent blue pigment and 55 percent red pigment by weight . a certain green paint contains 35 percent blue pigment and 65 percent yellow pigment . when these paints are mixed to produce a brown paint , the brown paint contains 40 percent blue pigment . if the brown paint weighs 10 grams , then the red pigment contributes how many grams of that weight ?", - "Output Program": [ - "n0 = 45.0\nn1 = 55.0\nn2 = 35.0\nn3 = 65.0\nn4 = 40.0\nn5 = 10.0\nt0 = 100.0 * 2.0\nt1 = n1 / t0\nanswer = n5 * t1\nprint(answer)" - ], - "Output Answer": [ - "2.75" - ], - "split": "test" - }, - { - "Input": "if 60 % of 3 / 5 of a number is 18 , then the number is ?", - "Output Program": [ - "n0 = 60.0\nn1 = 3.0\nn2 = 5.0\nn3 = 18.0\nt0 = n0 / 100.0\nt1 = n1 / n2\nt2 = t0 * t1\nanswer = n3 / t2\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "test" - }, - { - "Input": "the s . i . on a certain sum of money for 5 years at 6 % per annum is half the c . i . on rs . 3000 for 2 years at 15 % per annum . the sum placed on s . i . is ?", - "Output Program": [ - "n0 = 5.0\nn1 = 6.0\nn2 = 3000.0\nn3 = 2.0\nn4 = 15.0\nt0 = n4 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = n0 * t1\nt4 = t2**min(n3, 5)\nt5 = n2 * t4\nt6 = t5 - n2\nt7 = t6 / 2.0\nanswer = t7 / t3\nprint(answer)" - ], - "Output Answer": [ - "1612.4999999999993" - ], - "split": "test" - }, - { - "Input": "what is rate of interest if principal . amount be 400 , simple interest 80 and time 2 year .", - "Output Program": [ - "n0 = 400.0\nn1 = 80.0\nn2 = 2.0\nt0 = n0 * n2\nt1 = n1 / t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "test" - }, - { - "Input": "a retailer marks her goods in such a way that the profit made by selling 50 articles is equal to the selling price of 20 articles . what is the percentage of profit made by the retailer ?", - "Output Program": [ - "n0 = 50.0\nn1 = 20.0\nt0 = n0 - n1\nt1 = n0 / t0\nt2 = t1 - 1.0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "66.66666666666667" - ], - "split": "test" - }, - { - "Input": "a and b began business with rs . 3000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 630 find the share of a .", - "Output Program": [ - "n0 = 3000.0\nn1 = 4000.0\nn2 = 8.0\nn3 = 1000.0\nn4 = 1000.0\nn5 = 630.0\nt0 = n1 + n3\nt1 = n0 * n2\nt2 = n1 * n2\nt3 = n0 - n3\nt4 = 12.0 - n2\nt5 = t3 * t4\nt6 = t0 * t4\nt7 = t1 + t5\nt8 = t2 + t6\nt9 = t7 + t8\nt10 = n5 / t9\nanswer = t7 * t10\nprint(answer)" - ], - "Output Answer": [ - "240" - ], - "split": "test" - }, - { - "Input": "on a certain day , tim invested $ 1,000 at 10 percent annual interest , compounded annually , and lana invested 2,000 at 5 percent annual interest , compounded annually . the total amount of interest earned by tim \u2019 s investment in the first 2 years was how much greater than the total amount of interest earned by lana \u2019 s investment in the first 2 years ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 10.0\nn2 = 2000.0\nn3 = 5.0\nn4 = 2.0\nn5 = 2.0\nt0 = n1 / 100.0\nt1 = n3 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2**min(n4, 5)\nt5 = t3**min(n4, 5)\nt6 = n0 * t4\nt7 = n2 * t5\nt8 = t6 - n0\nt9 = t7 - n2\nanswer = t8 - t9\nprint(answer)" - ], - "Output Answer": [ - "5.000000000000227" - ], - "split": "test" - }, - { - "Input": "a shopkeeper sells his goods at cost price but uses a faulty meter that weighs 990 grams . find the profit percent .", - "Output Program": [ - "n0 = 990.0\nt0 = 1.0 + 4.0\nt1 = t0 + t0\nt2 = t1 * 100.0\nt3 = t2 - n0\nt4 = t3 / n0\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "1.0101010101010102" - ], - "split": "test" - }, - { - "Input": "26 % of employees are women with fair hair . 40 % of fair - haired employees are women . what percent of employees have fair hair ?", - "Output Program": [ - "n0 = 26.0\nn1 = 40.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "65" - ], - "split": "test" - }, - { - "Input": "according to a recent student poll , 4 / 6 out of 24 members of the finance club are interested in a career in investment banking . if two students are chosen at random , what is the probability that at least one of them is interested in investment banking ?", - "Output Program": [ - "import scipy\nn0 = 4.0\nn1 = 6.0\nn2 = 24.0\nt0 = scipy.special.comb(n2, 2.0)\nt1 = n0 / n1\nt2 = n2 * t1\nt3 = n2 - t2\nt4 = scipy.special.comb(t3, 2.0)\nt5 = t0 - t4\nanswer = t5 / t0\nprint(answer)" - ], - "Output Answer": [ - "0.8985507246376812" - ], - "split": "test" - }, - { - "Input": "there are two groups of students in the sixth grade . there are 45 students in group a , and 55 students in group b . if , on a particular day , 20 % of the students in group a forget their homework , and 40 % of the students in group b forget their homework , then what percentage of the sixth graders forgot their homework ?", - "Output Program": [ - "n0 = 45.0\nn1 = 55.0\nn2 = 20.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n0 * n2\nt2 = n1 * n3\nt3 = t1 / 100.0\nt4 = t2 / 100.0\nt5 = t3 + t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "31" - ], - "split": "test" - }, - { - "Input": "the length of a rectangular floor is more than its breadth by 200 % . if rs . 324 is required to paint the floor at the rate of rs . 3 per sq m , then what would be the length of the floor ?", - "Output Program": [ - "import math\nn0 = 200.0\nn1 = 324.0\nn2 = 3.0\nt0 = n1 / n2\nt1 = t0 / 3.0\nt2 = math.sqrt(max(0, t1))\nanswer = t2 * 3.0\nprint(answer)" - ], - "Output Answer": [ - "18" - ], - "split": "test" - }, - { - "Input": "a watch was sold at a loss of 10 % . if it was sold for rs . 182 more , there would have been a gain of 4 % . what is the cost price ?", - "Output Program": [ - "n0 = 10.0\nn1 = 182.0\nn2 = 4.0\nt0 = 100.0 + n2\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t0 - t2\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "1300" - ], - "split": "test" - }, - { - "Input": "in town x , 64 percent of the population are employed , and 35 percent of the population are employed males . what percent of the employed people in town x are females ?", - "Output Program": [ - "n0 = 64.0\nn1 = 35.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "45.3125" - ], - "split": "test" - }, - { - "Input": "a scuba diver descends at a rate of 40 feet per minute . a diver dive from a ship to search for a lost ship at the depth of 3000 feet below the sea level . . how long will he take to reach the ship ?", - "Output Program": [ - "n0 = 40.0\nn1 = 3000.0\n\nanswer = n1 / n0\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "test" - }, - { - "Input": "running at the same constant rate , 6 identical machines can produce a total of 270 pens per minute . at this rate , how many pens could 10 such machines produce in 4 minutes ?", - "Output Program": [ - "n0 = 6.0\nn1 = 270.0\nn2 = 10.0\nn3 = 4.0\nt0 = n1 / n0\nt1 = n3 * t0\nanswer = n2 * t1\nprint(answer)" - ], - "Output Answer": [ - "1800" - ], - "split": "test" - }, - { - "Input": "from the sale of sleeping bags , a retailer made a gross profit of 13 % of the wholesale cost . if each sleeping bag was sold for $ 28 , what was the wholesale cost per bag ?", - "Output Program": [ - "n0 = 13.0\nn1 = 28.0\nt0 = n0 + 100.0\nt1 = n1 * 100.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "24.778761061946902" - ], - "split": "test" - }, - { - "Input": "a light has a rating of 86 watts , it is replaced with a new light that has 18 % higher wattage . how many watts does the new light have ?", - "Output Program": [ - "n0 = 86.0\nn1 = 18.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "101.47999999999999" - ], - "split": "test" - }, - { - "Input": "there are 3000 students in a school and among them 20 % of them attends chess class . 40 % of the students who are in the chess class are also enrolled for swimming . no other students are interested in swimming so how many will attend the swimming class if all enrolled attends ?", - "Output Program": [ - "n0 = 3000.0\nn1 = 20.0\nn2 = 40.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n2 * t1\nanswer = t2 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "240" - ], - "split": "test" - }, - { - "Input": "the present population of a town is 280 . population increase rate is 10 % p . a . find the population of town after 1 years ?", - "Output Program": [ - "n0 = 280.0\nn1 = 10.0\nn2 = 1.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "308" - ], - "split": "test" - }, - { - "Input": "a glass was filled with 24 ounces of water , and 0.06 ounce of the water evaporated each day during a 12 - day period . what percent of the original amount of water evaporated during this period ?", - "Output Program": [ - "n0 = 24.0\nn1 = 0.06\nn2 = 12.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "3" - ], - "split": "test" - }, - { - "Input": "in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 5000 , the number of valid votes that the other candidate got , was :", - "Output Program": [ - "n0 = 55.0\nn1 = 20.0\nn2 = 5000.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t2 * t3\nanswer = n2 * t4\nprint(answer)" - ], - "Output Answer": [ - "1800" - ], - "split": "test" - }, - { - "Input": "the percentage profit earned by selling an article for rs . 1920 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 20 % profit ?", - "Output Program": [ - "n0 = 1920.0\nn1 = 1280.0\nn2 = 20.0\nt0 = n2 + 100.0\nt1 = n0 + n1\nt2 = t0 / 100.0\nt3 = t1 / 2.0\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "1920" - ], - "split": "test" - }, - { - "Input": "a shopkeeper loses 15 % , if an article is sold for $ 102 . what should be the selling price of the article to gain 20 % ?", - "Output Program": [ - "n0 = 15.0\nn1 = 102.0\nn2 = 20.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = 1.0 - t0\nt3 = n1 / t2\nt4 = t3 * t1\nanswer = t3 + t4\nprint(answer)" - ], - "Output Answer": [ - "144" - ], - "split": "test" - }, - { - "Input": "after decreasing 24 % in the price of an article costs rs . 912 . find the actual cost of an article ?", - "Output Program": [ - "n0 = 24.0\nn1 = 912.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "1200" - ], - "split": "test" - }, - { - "Input": "a man invested rs . 14,400 in rs . 100 shares of a company at 20 % premium . if the company declares 8 % dividend at the end of the year , then how much does he get ?", - "Output Program": [ - "n0 = 14400.0\nn1 = 100.0\nn2 = 20.0\nn3 = 8.0\nt0 = n3 / n1\nt1 = n2 / n1\nt2 = 10.0 * 1000.0\nt3 = 1000.0 * 4.0\nt4 = n1 * 4.0\nt5 = t2 + t3\nt6 = n1 * t1\nt7 = t5 + t4\nt8 = n1 + t6\nt9 = t7 / t8\nt10 = n1 * t9\nanswer = t0 * t10\nprint(answer)" - ], - "Output Answer": [ - "960" - ], - "split": "test" - }, - { - "Input": "a man took loan from a bank at the rate of 12 % p . a . s . i . after 20 years he had to pay rs . 1500 interest only for the period . the principal amount borrowed by him was ?", - "Output Program": [ - "n0 = 12.0\nn1 = 20.0\nn2 = 1500.0\nt0 = n2 * 100.0\nt1 = t0 / n1\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "625" - ], - "split": "test" - }, - { - "Input": "an agent , gets a commission of 2.5 % on the sales of cloth . if on a certain day , he gets rs . 12.50 as commission , the cloth sold through him on that day is worth", - "Output Program": [ - "n0 = 2.5\nn1 = 12.5\nt0 = n0 / 100.0\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "test" - }, - { - "Input": "an empty wooden vessel weighs 20 % of its total weight when filled with paint . if the weight of a partially filled vessel is one half that of a completely filled vessel , what fraction of the vessel is filled .", - "Output Program": [ - "n0 = 20.0\nt0 = n0 / 2.0\nt1 = n0 - 1.0\nt2 = t0 - 1.0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.47368421052631576" - ], - "split": "test" - }, - { - "Input": "a cycle is bought for rs . 900 and sold for rs . 990 , find the gain percent ?", - "Output Program": [ - "n0 = 900.0\nn1 = 990.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "test" - }, - { - "Input": "in the manufacture of a certain product , 9 percent of the units produced are defective and 5 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?", - "Output Program": [ - "n0 = 9.0\nn1 = 5.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "0.45" - ], - "split": "test" - }, - { - "Input": "a 6 % stock yields 8 % . the market value of the stock is :", - "Output Program": [ - "n0 = 6.0\nn1 = 8.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "test" - }, - { - "Input": "john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price . if the final price was $ 16 , what was the price before the first discount ?", - "Output Program": [ - "n0 = 25.0\nn1 = 25.0\nn2 = 16.0\nt0 = 100.0 * 100.0\nt1 = 100.0 - n0\nt2 = n2 * t0\nt3 = t1 * 100.0\nt4 = n0 * t1\nt5 = t3 - t4\nanswer = t2 / t5\nprint(answer)" - ], - "Output Answer": [ - "28.444444444444443" - ], - "split": "test" - }, - { - "Input": "in an election between the two candidates , the candidates who gets 60 % of votes polled is winned by 280 votes majority . what is the total number of votes polled ?", - "Output Program": [ - "n0 = 60.0\nn1 = 280.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nt2 = n0 - t1\nanswer = t0 / t2\nprint(answer)" - ], - "Output Answer": [ - "1400" - ], - "split": "test" - }, - { - "Input": "a worker is paid a regular rate of rs . 20 for completing a survey . the worker completes 100 surveys per week . for any survey involving the use of her cellphone , she is paid at a rate of that is 10 % higher than her regular rate . if she completed 70 surveys involving the use of her cellphone , how much did she get that week ?", - "Output Program": [ - "n0 = 20.0\nn1 = 100.0\nn2 = 10.0\nn3 = 70.0\nt0 = n2 / 100.0\nt1 = n0 * n1\nt2 = n0 * t0\nt3 = n3 * t2\nanswer = t1 + t3\nprint(answer)" - ], - "Output Answer": [ - "2140" - ], - "split": "test" - }, - { - "Input": "by selling an article at rs . 300 , a profit of 25 % is made . find its cost price ?", - "Output Program": [ - "n0 = 300.0\nn1 = 25.0\nt0 = n1 + 100.0\nt1 = n0 * 100.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "240" - ], - "split": "test" - }, - { - "Input": "the list price of an article is rs . 66 . a customer pays rs . 56.16 for it . he was given two successive discounts , one of them being 10 % . the other discount is ?", - "Output Program": [ - "n0 = 66.0\nn1 = 56.16\nn2 = 10.0\nt0 = n2 / 100.0\nt1 = n0 * t0\nt2 = n0 - t1\nt3 = t2 - n1\nt4 = t3 / t2\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "5.454545454545458" - ], - "split": "test" - }, - { - "Input": "if a speaks the truth 65 % of the times , b speaks the truth 60 % of the times . what is the probability that they tell the truth at the same time", - "Output Program": [ - "n0 = 65.0\nn1 = 60.0\nt0 = 4.0 * 5.0\nt1 = t0 * 5.0\nt2 = n0 / t1\nt3 = n1 / t1\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "0.39" - ], - "split": "test" - }, - { - "Input": "what profit percent is made by selling an article at a certain price , if by selling at 2 / 3 rd of that price , there would be a loss of 30 % ?", - "Output Program": [ - "n0 = 2.0\nn1 = 3.0\nn2 = 30.0\nt0 = n0 / n1\nt1 = 100.0 - n2\nt2 = t1 / t0\nanswer = t2 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "test" - }, - { - "Input": "a sum amounts to rs . 4851 in 2 years at the rate of 5 % p . a . if interest was compounded yearly then what was the principal ?", - "Output Program": [ - "n0 = 4851.0\nn1 = 2.0\nn2 = 5.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n1, 5)\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "4400" - ], - "split": "test" - }, - { - "Input": "if a lends rs . 1200 to b at 10 % per annum and b lends the same sum to c at 18 % per annum then the gain of b in a period of 2 years is ?", - "Output Program": [ - "n0 = 1200.0\nn1 = 10.0\nn2 = 18.0\nn3 = 2.0\nt0 = n0 * n2\nt1 = n0 * n1\nt2 = t0 * n3\nt3 = n3 * t1\nt4 = t2 / 100.0\nt5 = t3 / 100.0\nanswer = t4 - t5\nprint(answer)" - ], - "Output Answer": [ - "192" - ], - "split": "test" - }, - { - "Input": "a bowl was filled with 10 ounces of water , and 0.010 ounce of the water evaporated each day during a 50 - day period . what percent of the original amount of water evaporated during this period ?", - "Output Program": [ - "n0 = 10.0\nn1 = 0.01\nn2 = 50.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "test" - }, - { - "Input": "by selling 12 pencils for a rupee a man loses 20 % . how many for a rupee should he sell in order to gain 20 % ?", - "Output Program": [ - "n0 = 12.0\nn1 = 20.0\nn2 = 20.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = 1.0 / t1\nt3 = t0 * t2\nt4 = 1.0 / t3\nanswer = n0 * t4\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "test" - }, - { - "Input": "if difference between compound interest and simple interest on a sum at 10 % p . a . for 2 years is rs . 150 then sum is", - "Output Program": [ - "n0 = 10.0\nn1 = 2.0\nn2 = 150.0\nt0 = n0 / 100.0\nt1 = t0 * t0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "14999.999999999996" - ], - "split": "test" - }, - { - "Input": "in one hour , a boat goes 8 km along the stream and 2 km against the stream . the sped of the boat in still water ( in km / hr ) is :", - "Output Program": [ - "n0 = 8.0\nn1 = 2.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "test" - }, - { - "Input": "coconuts were purchased at 150 per 100 and sold at 2 per coconut . if 2000 coconuts were sold , what was the total profit made ?", - "Output Program": [ - "n0 = 150.0\nn1 = 100.0\nn2 = 2.0\nn3 = 2000.0\nt0 = n0 / n1\nt1 = n2 - t0\nanswer = n3 * t1\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "test" - }, - { - "Input": "martin buys a pencil and a notebook for 80 cents . at the same store , gloria buys a notebook and an eraser for $ 1.15 cents , and zachary buys a pencil and an eraser for 75 cents . how many cents would it cost to buy 3 pencils , 3 notebooks , and 3 erasers ? ( assume that there is no volume discount . )", - "Output Program": [ - "n0 = 80.0\nn1 = 1.15\nn2 = 75.0\nn3 = 3.0\nn4 = 3.0\nn5 = 3.0\nt0 = n1 * 100.0\nt1 = n0 + t0\nt2 = n2 + t1\nt3 = t2 / 2.0\nanswer = n3 * t3\nprint(answer)" - ], - "Output Answer": [ - "405" - ], - "split": "test" - }, - { - "Input": "in the first 10 overs of a cricket game , the run rate was only 5.2 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?", - "Output Program": [ - "n0 = 10.0\nn1 = 5.2\nn2 = 40.0\nn3 = 282.0\nt0 = n0 * n1\nt1 = n3 - t0\nanswer = t1 / n2\nprint(answer)" - ], - "Output Answer": [ - "5.75" - ], - "split": "test" - }, - { - "Input": "a man buys an article for $ 100 . and sells it for $ 125 . find the gain percent ?", - "Output Program": [ - "n0 = 100.0\nn1 = 125.0\nt0 = n0 / 100.0\nt1 = n1 / t0\nanswer = t1 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "test" - }, - { - "Input": "after decreasing 24 % in the price of an article costs rs . 1140 . find the actual cost of an article ?", - "Output Program": [ - "n0 = 24.0\nn1 = 1140.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "1500" - ], - "split": "test" - }, - { - "Input": "a trader sells 40 metres of cloth for rs . 8200 at a profit of rs . 20 per metre of cloth . how much profit will the trder earn on 40 metres of cloth ?", - "Output Program": [ - "n0 = 40.0\nn1 = 8200.0\nn2 = 20.0\nn3 = 40.0\n\nanswer = n0 * n2\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "test" - }, - { - "Input": "at a particular graduation party with 300 guests , 70 % of the guests brought gifts , and 40 % of the female guests brought gifts . if 36 males did not bring gifts to the party , how many females did bring gifts ?", - "Output Program": [ - "n0 = 300.0\nn1 = 70.0\nn2 = 40.0\nn3 = 36.0\nt0 = n0 * n1\nt1 = 100.0 - n2\nt2 = t0 / 100.0\nt3 = n0 - t2\nt4 = t3 - n3\nt5 = t4 * 100.0\nt6 = t5 / t1\nt7 = n2 * t6\nanswer = t7 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "36" - ], - "split": "test" - }, - { - "Input": "the list price of an article is rs . 69 . a customer pays rs . 56.16 for it . he was given two successive discounts , one of them being 10 % . the other discount is ?", - "Output Program": [ - "n0 = 69.0\nn1 = 56.16\nn2 = 10.0\nt0 = n2 / 100.0\nt1 = n0 * t0\nt2 = n0 - t1\nt3 = t2 - n1\nt4 = t3 / t2\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "9.565217391304355" - ], - "split": "test" - }, - { - "Input": "the cost price of a radio is rs . 1500 and it was sold for rs . 1230 , find the loss % ?", - "Output Program": [ - "n0 = 1500.0\nn1 = 1230.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "18" - ], - "split": "test" - }, - { - "Input": "the sale price sarees listed for rs . 500 after successive discount is 10 % and 5 % is ?", - "Output Program": [ - "n0 = 500.0\nn1 = 10.0\nn2 = 5.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "427.5" - ], - "split": "test" - }, - { - "Input": "on a certain transatlantic crossing , 20 percent of a ship \u2019 s passengers held round - trip tickets and also took their cars abroad the ship . if 50 percent of the passengers with round - trip tickets did not take their cars abroad the ship , what percent of the ship \u2019 s passengers held round - trip tickets ?", - "Output Program": [ - "n0 = 20.0\nn1 = 50.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "test" - }, - { - "Input": "in a school of 800 students , 44 % wear blue shirts , 28 % wear red shirts , 10 % wear green shirts , and the remaining students wear other colors . how many students wear other colors ( not blue , not red , not green ) ?", - "Output Program": [ - "n0 = 800.0\nn1 = 44.0\nn2 = 28.0\nn3 = 10.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = n0 * t0\nt4 = n0 * t1\nt5 = n0 * t2\nt6 = t3 + t4\nt7 = t6 + t5\nanswer = n0 - t7\nprint(answer)" - ], - "Output Answer": [ - "144" - ], - "split": "test" - }, - { - "Input": "a trader marked the selling price of an article at 11 % above the cost price . at the time of selling , he allows certain discount and suffers a loss of 1 % . he allowed a discount of :", - "Output Program": [ - "n0 = 11.0\nn1 = 1.0\nt0 = 2.0 + 3.0\nt1 = n0 + 100.0\nt2 = t0 * 2.0\nt3 = t2 + n1\nt4 = t3 / t1\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "9.90990990990991" - ], - "split": "test" - }, - { - "Input": "a dishonest dealer professes to sell goods at the cost price but uses a weight of 720 grams per kg , what is his percent ?", - "Output Program": [ - "n0 = 720.0\nt0 = 2.0 + 3.0\nt1 = 100.0 / n0\nt2 = t0 * 2.0\nt3 = t2 * 100.0\nt4 = t1 * t3\nanswer = t4 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "38.888888888888886" - ], - "split": "test" - }, - { - "Input": "machine a produces 100 parts twice as fast as machine b does . machine b produces 100 parts in 80 minutes . if each machine produces parts at a constant rate , how many parts does machine a produce in 20 minutes ?", - "Output Program": [ - "n0 = 100.0\nn1 = 100.0\nn2 = 80.0\nn3 = 20.0\nt0 = n0 / n2\nt1 = t0 * 2.0\nanswer = n3 * t1\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "test" - }, - { - "Input": "the length of a rectangular floor is more than its breadth by 200 % . if rs . 150 is required to paint the floor at the rate of rs . 2 per sq m , then what would be the length of the floor ?", - "Output Program": [ - "import math\nn0 = 200.0\nn1 = 150.0\nn2 = 2.0\nt0 = n1 / n2\nt1 = t0 / 3.0\nt2 = math.sqrt(max(0, t1))\nanswer = t2 * 3.0\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "test" - }, - { - "Input": "in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 6000 , the number of valid votes that the other candidate got , was :", - "Output Program": [ - "n0 = 55.0\nn1 = 20.0\nn2 = 6000.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t2 * t3\nanswer = n2 * t4\nprint(answer)" - ], - "Output Answer": [ - "2160" - ], - "split": "test" - }, - { - "Input": "a 6 % stock yields 9 % . the market value of the stock is :", - "Output Program": [ - "n0 = 6.0\nn1 = 9.0\nt0 = 100.0 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "66.66666666666666" - ], - "split": "test" - }, - { - "Input": "what profit percent is made by selling an article at a certain price , if by selling at 2 / 3 rd of that price , there would be a loss of 25 % ?", - "Output Program": [ - "n0 = 2.0\nn1 = 3.0\nn2 = 25.0\nt0 = n0 / n1\nt1 = 100.0 - n2\nt2 = t1 / t0\nanswer = t2 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "12.5" - ], - "split": "test" - }, - { - "Input": "selling an kite for rs . 30 , a shop keeper gains 40 % . during a clearance sale , the shopkeeper allows a discount of 10 % on the marked price . his gain percent during the sale is ?", - "Output Program": [ - "n0 = 30.0\nn1 = 40.0\nn2 = 10.0\nt0 = n1 + 100.0\nt1 = n0 / 100.0\nt2 = n0 * 100.0\nt3 = 100.0 - n2\nt4 = t2 / t0\nt5 = t1 * t3\nt6 = t5 - t4\nt7 = t6 / t4\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "26.000000000000007" - ], - "split": "test" - }, - { - "Input": "an inspector rejects 15 % of the meters as defective . how many will he examine to reject 15 ?", - "Output Program": [ - "n0 = 15.0\nn1 = 15.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "test" - }, - { - "Input": "mr . karan borrowed a certain amount at 6 % per annum simple interest for 9 years . after 9 years , he returned rs . 8010 / - . find out the amount that he borrowed .", - "Output Program": [ - "n0 = 6.0\nn1 = 9.0\nn2 = 9.0\nn3 = 8010.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = t1 + 1.0\nanswer = n3 / t2\nprint(answer)" - ], - "Output Answer": [ - "5201.298701298701" - ], - "split": "test" - }, - { - "Input": "in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 6500 , the number of valid votes that the other candidate got , was :", - "Output Program": [ - "n0 = 55.0\nn1 = 20.0\nn2 = 6500.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t2 * t3\nanswer = n2 * t4\nprint(answer)" - ], - "Output Answer": [ - "2340" - ], - "split": "test" - }, - { - "Input": "after decreasing 25 % in the price of an article costs rs . 1500 . find the actual cost of an article ?", - "Output Program": [ - "n0 = 25.0\nn1 = 1500.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "2000" - ], - "split": "test" - }, - { - "Input": "there are 400 employees in a room . 99 % are managers . how many managers must leave the room to bring down the percentage of managers to 98 % ?", - "Output Program": [ - "n0 = 400.0\nn1 = 99.0\nn2 = 98.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n0 * t0\nt3 = n0 * t1\nt4 = 1.0 - t1\nt5 = t2 - t3\nanswer = t5 / t4\nprint(answer)" - ], - "Output Answer": [ - "199.99999999999983" - ], - "split": "test" - }, - { - "Input": "each of the cucumbers in 100 pounds of cucumbers is composed of 99 % water , by weight . after some of the water evaporates , the cucumbers are now 97 % water by weight . what is the new weight of the cucumbers , in pounds ?", - "Output Program": [ - "n0 = 100.0\nn1 = 99.0\nn2 = 97.0\nt0 = n0 - n1\nt1 = n0 - n2\nt2 = t0 / t1\nanswer = t2 * n0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "test" - }, - { - "Input": "a 6 litre sol is 40 % alcohol . how many litres of pure alcohol must be added to produce a sol that is 50 % alcohol ?", - "Output Program": [ - "n0 = 6.0\nn1 = 40.0\nn2 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = t1 * 2.0\nanswer = n0 - t2\nprint(answer)" - ], - "Output Answer": [ - "1.1999999999999993" - ], - "split": "test" - }, - { - "Input": "the percentage profit earned by selling an article for rs . 1920 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 15 % profit ?", - "Output Program": [ - "n0 = 1920.0\nn1 = 1280.0\nn2 = 15.0\nt0 = n2 + 100.0\nt1 = n0 + n1\nt2 = t0 / 100.0\nt3 = t1 / 2.0\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "1839.9999999999998" - ], - "split": "test" - }, - { - "Input": "rs . 2500 is divided into two parts such that if one part be put out at 5 % simple interest and the other at 6 % , the yearly annual income may be rs . 125 . how much was lent at 5 % ?", - "Output Program": [ - "n0 = 2500.0\nn1 = 5.0\nn2 = 6.0\nn3 = 125.0\nn4 = 5.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n0 * n2\nt3 = t2 / 100.0\nt4 = t0 - t1\nt5 = n3 - t3\nanswer = t5 / t4\nprint(answer)" - ], - "Output Answer": [ - "2500.0000000000014" - ], - "split": "test" - }, - { - "Input": "the owner of a furniture shop charges his customer 24 % more than the cost price . if a customer paid rs . 8463 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 24.0\nn1 = 8463.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "6825" - ], - "split": "test" - }, - { - "Input": "car z travels 55 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour , but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour . how many miles does car z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour ?", - "Output Program": [ - "n0 = 55.0\nn1 = 45.0\nn2 = 20.0\nn3 = 60.0\nn4 = 10.0\nn5 = 60.0\nt0 = n2 / 100.0\nt1 = 1.0 - t0\nt2 = n0 * t1\nanswer = n4 * t2\nprint(answer)" - ], - "Output Answer": [ - "440" - ], - "split": "test" - }, - { - "Input": "after 10 % of the inhabitants of a village disappeared , a panic set in during which 25 % of the remaining inhabitants left the village . at that time , the population was reduced to 5535 . what was the number of original inhabitants ?", - "Output Program": [ - "n0 = 10.0\nn1 = 25.0\nn2 = 5535.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = 1.0 - t0\nt3 = t1 * t2\nt4 = t2 - t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "8200" - ], - "split": "test" - }, - { - "Input": "the list price of an article is rs . 65 . a customer pays rs . 56.16 for it . he was given two successive discounts , one of them being 10 % . the other discount is ?", - "Output Program": [ - "n0 = 65.0\nn1 = 56.16\nn2 = 10.0\nt0 = n2 / 100.0\nt1 = n0 * t0\nt2 = n0 - t1\nt3 = t2 - n1\nt4 = t3 / t2\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "4.000000000000005" - ], - "split": "test" - }, - { - "Input": "john makes $ 60 a week from his job . he earns a raise andnow makes $ 80 a week . what is the % increase ?", - "Output Program": [ - "n0 = 60.0\nn1 = 80.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.33333333333333" - ], - "split": "test" - }, - { - "Input": "a shopkeeper sold an article at $ 1050 and gained a 20 % profit . what was the cost price ?", - "Output Program": [ - "n0 = 1050.0\nn1 = 20.0\nt0 = n1 + 100.0\nt1 = 100.0 / t0\nanswer = n0 * t1\nprint(answer)" - ], - "Output Answer": [ - "875" - ], - "split": "test" - }, - { - "Input": "the weight of a glass of jar is 30 % of the weight of the jar filled with coffee beans . after some of the beans have been removed , the weight of the jar and the remaining beans is 60 % of the original total weight . what fraction part of the beans remain in the jar ?", - "Output Program": [ - "n0 = 30.0\nn1 = 60.0\nt0 = n1 - n0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "0.42857142857142855" - ], - "split": "test" - }, - { - "Input": "a number increased by 15 % gives 1150 . the number is", - "Output Program": [ - "n0 = 15.0\nn1 = 1150.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "1000.0000000000001" - ], - "split": "test" - }, - { - "Input": "a shopkeeper sold an book offering a discount of 5 % and earned a profit of 30 % . what would have been the percentage of profit earned if no discount was offered ?", - "Output Program": [ - "n0 = 5.0\nn1 = 30.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "136.8421052631579" - ], - "split": "test" - }, - { - "Input": "if $ 120 invested at a certain rate of simple interest amounts to $ 180 at the end of 3 years , how much will $ 150 amount to at the same rate of interest in 6 years ?", - "Output Program": [ - "n0 = 120.0\nn1 = 180.0\nn2 = 3.0\nn3 = 150.0\nn4 = 6.0\nt0 = n3 * n4\nt1 = n1 - n0\nt2 = t1 * n0\nt3 = t2 / n0\nt4 = t3 / n2\nt5 = t4 * t0\nt6 = t5 / n0\nanswer = n3 + t6\nprint(answer)" - ], - "Output Answer": [ - "300" - ], - "split": "test" - }, - { - "Input": "a company pays 20.5 % dividend to its investors . if an investor buys rs . 50 shares and gets 25 % on investment , at what price did the investor buy the shares ?", - "Output Program": [ - "n0 = 20.5\nn1 = 50.0\nn2 = 25.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = t1 * 100.0\nanswer = t2 / n2\nprint(answer)" - ], - "Output Answer": [ - "41" - ], - "split": "test" - }, - { - "Input": "a shopkeeper sold an book offering a discount of 5 % and earned a profit of 33 % . what would have been the percentage of profit earned if no discount was offered ?", - "Output Program": [ - "n0 = 5.0\nn1 = 33.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "140" - ], - "split": "test" - }, - { - "Input": "calculate how long it will take a swimmer to swim a distance of 10 km against the current of a river which flows at 3 km / hr , given that he can swim in still water at 5 km / h", - "Output Program": [ - "n0 = 10.0\nn1 = 3.0\nn2 = 5.0\nt0 = n2 - n1\nanswer = n0 / t0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "test" - }, - { - "Input": "the price of a t . v . set worth rs . 30000 is to be paid in 20 installments of rs . 1000 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ?", - "Output Program": [ - "n0 = 30000.0\nn1 = 20.0\nn2 = 1000.0\nn3 = 6.0\n\nanswer = n0 - n2\nprint(answer)" - ], - "Output Answer": [ - "29000" - ], - "split": "test" - }, - { - "Input": "daniel went to a shop and bought things worth rs . 50 , out of which 90 paise went on sales tax on taxable purchases . if the tax rate was 15 % , then what was the cost of the tax free items ?", - "Output Program": [ - "n0 = 50.0\nn1 = 90.0\nn2 = 15.0\nt0 = n1 / 100.0\nt1 = n1 / n2\nt2 = n0 - t0\nanswer = t2 - t1\nprint(answer)" - ], - "Output Answer": [ - "43.1" - ], - "split": "test" - }, - { - "Input": "x and y invested in a business . they earned some profit which they divided in the ratio of 2 : 6 . if x invested rs . 5000 . the amount invested by y is", - "Output Program": [ - "n0 = 2.0\nn1 = 6.0\nn2 = 5000.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" - ], - "Output Answer": [ - "15000" - ], - "split": "test" - }, - { - "Input": "in a school of 450 boys , 44 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?", - "Output Program": [ - "n0 = 450.0\nn1 = 44.0\nn2 = 28.0\nn3 = 10.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = 100.0 - t1\nt3 = n0 * t2\nanswer = t3 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "81" - ], - "split": "test" - }, - { - "Input": "the principal that amounts to rs . 4903 in 3 years at 6 1 / 4 % per annum c . i . compounded annually , is ?", - "Output Program": [ - "n0 = 4903.0\nn1 = 3.0\nn2 = 6.0\nn3 = 1.0\nn4 = 4.0\nt0 = n3 / n4\nt1 = n2 + t0\nt2 = t1 / 100.0\nt3 = t2 + n3\nt4 = t3**min(n1, 5)\nanswer = n0 / t4\nprint(answer)" - ], - "Output Answer": [ - "4087.662935070222" - ], - "split": "test" - }, - { - "Input": "if 28 % of a number exceeds 18 % of it by 7.2 , then find the number ?", - "Output Program": [ - "n0 = 28.0\nn1 = 18.0\nn2 = 7.2\nt0 = n0 - n1\nt1 = t0 / 100.0\nt2 = n2 / t1\nanswer = n1 + t2\nprint(answer)" - ], - "Output Answer": [ - "90" - ], - "split": "test" - }, - { - "Input": "after decreasing 15 % in the price of an article costs rs . 915 . find the actual cost of an article ?", - "Output Program": [ - "n0 = 15.0\nn1 = 915.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "1076.4705882352941" - ], - "split": "test" - }, - { - "Input": "peter invests a sum of money and gets back an amount of $ 830 in 3 years . david invests an equal amount of money and gets an amount of $ 854 in 4 years . if both amounts were invested at the same rate ( simple interest ) what was the sum of money invested ?", - "Output Program": [ - "n0 = 830.0\nn1 = 3.0\nn2 = 854.0\nn3 = 4.0\nt0 = n3 / 100.0\nt1 = n1 / 100.0\nt2 = n2 - n0\nt3 = t0 - t1\nt4 = t2 / t3\nt5 = t4 * t1\nanswer = n0 - t5\nprint(answer)" - ], - "Output Answer": [ - "758" - ], - "split": "test" - }, - { - "Input": "if $ 120 invested at a certain rate of simple interest amounts to $ 240 at the end of 3 years , how much will $ 150 amount to at the same rate of interest in 6 years ?", - "Output Program": [ - "n0 = 120.0\nn1 = 240.0\nn2 = 3.0\nn3 = 150.0\nn4 = 6.0\nt0 = n3 * n4\nt1 = n1 - n0\nt2 = t1 * n0\nt3 = t2 / n0\nt4 = t3 / n2\nt5 = t4 * t0\nt6 = t5 / n0\nanswer = n3 + t6\nprint(answer)" - ], - "Output Answer": [ - "450" - ], - "split": "test" - }, - { - "Input": "the population of a town increases 20 % and 25 % respectively in two consecutive years . after the growth the present population of the town is 1500 . then what is the population of the town 2 years ago ?", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nn2 = 1500.0\nn3 = 2.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "test" - }, - { - "Input": "the compound interest earned on a sum for the second and the third years are $ 1400 and $ 1498 respectively . what is the rate of interest ?", - "Output Program": [ - "n0 = 1400.0\nn1 = 1498.0\nt0 = n1 - n0\nt1 = t0 * 100.0\nanswer = t1 / n0\nprint(answer)" - ], - "Output Answer": [ - "7" - ], - "split": "test" - }, - { - "Input": "in the manufacture of a certain product , 6 percent of the units produced are defective and 5 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?", - "Output Program": [ - "n0 = 6.0\nn1 = 5.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "0.30000000000000004" - ], - "split": "test" - }, - { - "Input": "a sum fetched total simple interest of 4016.25 at the rate of 9 p . c . p . a . in 5 years . what is the sum ?", - "Output Program": [ - "n0 = 4016.25\nn1 = 9.0\nn2 = 5.0\nt0 = n0 * 100.0\nt1 = n1 * n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "8925" - ], - "split": "test" - }, - { - "Input": "a shopkeeper fixes the marked price of an item 40 % above its cost price . the percentage of discount allowed to gain 8 % is", - "Output Program": [ - "n0 = 40.0\nn1 = 8.0\nt0 = n1 + 100.0\nt1 = n0 + 100.0\nt2 = t0 / t1\nt3 = t2 * 100.0\nanswer = 100.0 - t3\nprint(answer)" - ], - "Output Answer": [ - "22.857142857142847" - ], - "split": "test" - }, - { - "Input": "a soccer team played 160 games and won 65 percent of them . how many games did it win ?", - "Output Program": [ - "n0 = 160.0\nn1 = 65.0\nt0 = n0 * n1\nanswer = t0 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "104" - ], - "split": "test" - }, - { - "Input": "in a certain city , 60 percent of the registered voters are democrats and the rest are republicans . in a mayoral race , if 75 percent of the registered voters who are democrats and 25 percent of the registered voters who are republicans are expected to vote for candidate a , what percent of the registered voters are expected to vote for candidate a ?", - "Output Program": [ - "n0 = 60.0\nn1 = 75.0\nn2 = 25.0\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = 100.0 - n0\nt3 = n0 * t0\nt4 = t1 * t2\nanswer = t3 + t4\nprint(answer)" - ], - "Output Answer": [ - "55" - ], - "split": "test" - }, - { - "Input": "a producer of tea blends two varieties of tea from two tea gardens one costing rs 18 per kg and another rs 20 per kg in the ratio 5 : 3 . if he sells the blended variety at rs 26 per kg , then his gain percent is", - "Output Program": [ - "n0 = 18.0\nn1 = 20.0\nn2 = 5.0\nn3 = 3.0\nn4 = 26.0\nt0 = n2 + n3\nt1 = n0 * n2\nt2 = n1 * n3\nt3 = t1 + t2\nt4 = n4 * t0\nt5 = t4 - t3\nt6 = t5 * 100.0\nanswer = t6 / t3\nprint(answer)" - ], - "Output Answer": [ - "38.666666666666664" - ], - "split": "test" - }, - { - "Input": "if a population of women in a town is 50 % of men . what is the population of men as a percentage of population of women ?", - "Output Program": [ - "n0 = 50.0\nt0 = 100.0 / n0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "200" - ], - "split": "test" - }, - { - "Input": "in 1998 the profits of company n were 10 percent of revenues . in 1999 , the revenues of company n fell by 20 percent , but profits were 10 percent of revenues . the profits in 1999 were what percent of the profits in 1998 ?", - "Output Program": [ - "n0 = 1998.0\nn1 = 10.0\nn2 = 1999.0\nn3 = 20.0\nn4 = 10.0\nn5 = 1999.0\nn6 = 1998.0\nt0 = n4 / 100.0\nt1 = n3 / 100.0\nt2 = n1 / 100.0\nt3 = 1.0 - t1\nt4 = t0 * t3\nt5 = t4 / t2\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "80.00000000000001" - ], - "split": "test" - }, - { - "Input": "in a shop , the profit is 320 % of the cost . if the cost increases by 25 % but the selling price remains constant , find out approximately what percentage of the selling price is the profit ?", - "Output Program": [ - "n0 = 320.0\nn1 = 25.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = t0 - t1\nt3 = t2 / t0\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "70.23809523809523" - ], - "split": "test" - }, - { - "Input": "a person spends 40 % of his salary on food , 25 % on house rent , 15 % on entertainment and 10 % on conveyance . if his savings at the end of the month is rs . 1200 , then his salary per month in rupees is :", - "Output Program": [ - "n0 = 40.0\nn1 = 25.0\nn2 = 15.0\nn3 = 10.0\nn4 = 1200.0\nt0 = n4 * 100.0\nanswer = t0 / n3\nprint(answer)" - ], - "Output Answer": [ - "12000" - ], - "split": "test" - }, - { - "Input": "an error 6 % in excess is made while measuring the side of a square . what is the percentage of error in the calculated area of the square ?", - "Output Program": [ - "n0 = 6.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "12.36" - ], - "split": "test" - }, - { - "Input": "by how much is 70 % of 120 greater than 35 % of 200 .", - "Output Program": [ - "n0 = 70.0\nn1 = 120.0\nn2 = 35.0\nn3 = 200.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 * t0\nt3 = n3 * t1\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "14" - ], - "split": "test" - }, - { - "Input": "if a man lost 7 % by selling oranges at the rate of 21 a rupee at how many a rupee must he sell them to gain 42 % ?", - "Output Program": [ - "n0 = 7.0\nn1 = 21.0\nn2 = 42.0\nt0 = n2 + 100.0\nt1 = 100.0 - n0\nt2 = n1 * t1\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "13.753521126760564" - ], - "split": "test" - }, - { - "Input": "a chemist mixes one liter of pure water with x liters of a 50 % salt solution , and the resulting mixture is a 15 % salt solution . what is the value of x ?", - "Output Program": [ - "n0 = 50.0\nn1 = 15.0\nt0 = n0 - n1\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "0.42857142857142855" - ], - "split": "test" - }, - { - "Input": "on a certain transatlantic crossing , 40 percent of a ship \u2019 s passengers held round - trip tickets and also took their cars abroad the ship . if 20 percent of the passengers with round - trip tickets did not take their cars abroad the ship , what percent of the ship \u2019 s passengers held round - trip tickets ?", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "50" - ], - "split": "test" - }, - { - "Input": "a distributor sells a product through an online store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 16 per item . what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item ?", - "Output Program": [ - "n0 = 20.0\nn1 = 16.0\nn2 = 20.0\nt0 = n0 / 100.0\nt1 = 100.0 - n0\nt2 = t1 / 100.0\nt3 = n1 * t0\nt4 = n1 + t3\nanswer = t4 / t2\nprint(answer)" - ], - "Output Answer": [ - "23.999999999999996" - ], - "split": "test" - }, - { - "Input": "rohan spends 40 % of his salary on food , 20 % on house rent , 10 % on entertainment and 10 % on conveyance . if his savings at the end of a month are rs . 3000 . then his monthly salary is", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nn2 = 10.0\nn3 = 10.0\nn4 = 3000.0\nt0 = 1.0 + 4.0\nanswer = n4 * t0\nprint(answer)" - ], - "Output Answer": [ - "15000" - ], - "split": "test" - }, - { - "Input": "last year a certain bond price with a face value of 5000 yielded 9 % of its face value in interest . if that interest was approx 6.5 of the bond ' s selling price approx what was the bond ' s selling price ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 9.0\nn2 = 6.5\nt0 = n1 / 100.0\nt1 = n2 / 100.0\nt2 = n0 * t0\nanswer = t2 / t1\nprint(answer)" - ], - "Output Answer": [ - "6923.076923076923" - ], - "split": "test" - }, - { - "Input": "harkamal purchased 8 kg of grapes at the rate of 90 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 8.0\nn1 = 90.0\nn2 = 9.0\nn3 = 55.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1215" - ], - "split": "test" - }, - { - "Input": "a sells a cricket bat to b at a profit of 20 % . b sells it to c at a profit of 25 % . if c pays $ 237 for it , the cost price of the cricket bat for a is :", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nn2 = 237.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "158" - ], - "split": "test" - }, - { - "Input": "a dealer purchases 15 articles for rs . 25 and sells 12 articles for rs . 36 . find the profit percentage ?", - "Output Program": [ - "n0 = 15.0\nn1 = 25.0\nn2 = 12.0\nn3 = 36.0\nt0 = 1.0 + 4.0\nt1 = n1 * 4.0\nt2 = n3 * t0\nanswer = t2 - t1\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "test" - }, - { - "Input": "solution p is 20 percent lemonade and 80 percent carbonated water by volume ; solution q is 45 percent lemonade and 55 percent carbonated water by volume . if a mixture of pq contains 75 percent carbonated water , what percent of the volume of the mixture is p ?", - "Output Program": [ - "n0 = 20.0\nn1 = 80.0\nn2 = 45.0\nn3 = 55.0\nn4 = 75.0\nt0 = n4 / 100.0\nt1 = n3 / 100.0\nt2 = n1 / 100.0\nt3 = t0 - t1\nt4 = t2 - t0\nt5 = t3 + t4\nt6 = t3 / t5\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "79.99999999999999" - ], - "split": "test" - }, - { - "Input": "a cycle is bought for rs . 800 and sold for rs . 1080 , find the gain percent ?", - "Output Program": [ - "n0 = 800.0\nn1 = 1080.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "35" - ], - "split": "test" - }, - { - "Input": "a gambler has won 40 % of his 30 poker games for the week so far . if , all of a sudden , his luck changes and he begins winning 70 % of the time , how many more games must he play to end up winning 60 % of all his games for the week ?", - "Output Program": [ - "n0 = 40.0\nn1 = 30.0\nn2 = 70.0\nn3 = 60.0\nt0 = n3 / 100.0\nt1 = n0 / 100.0\nt2 = n2 / 100.0\nt3 = n1 * t0\nt4 = n1 * t1\nt5 = t2 - t0\nt6 = t3 - t4\nanswer = t6 / t5\nprint(answer)" - ], - "Output Answer": [ - "60.000000000000014" - ], - "split": "test" - }, - { - "Input": "a side of beef lost 25 percent of its weight in processing . if the side of beef weighed 540 pounds after processing , how many pounds did it weigh before processing ?", - "Output Program": [ - "n0 = 25.0\nn1 = 540.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "720" - ], - "split": "test" - }, - { - "Input": "a reduction of 30 % in the price of oil enables a house wife to obtain 6 kgs more for rs . 940 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 30.0\nn1 = 6.0\nn2 = 940.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "47" - ], - "split": "test" - }, - { - "Input": "if a man lost 5 % by selling oranges at the rate of 8 a rupee at how many a rupee must he sell them to gain 52 % ?", - "Output Program": [ - "n0 = 5.0\nn1 = 8.0\nn2 = 52.0\nt0 = n2 + 100.0\nt1 = 100.0 - n0\nt2 = n1 * t1\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "test" - }, - { - "Input": "if the cost price is 91 % of sp then what is the profit %", - "Output Program": [ - "n0 = 91.0\nt0 = 100.0 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "9.89010989010989" - ], - "split": "test" - }, - { - "Input": "a , b and c enter into a partnership . a invests 3 times as much as b invests and 2 / 3 of what c invests . at the end of the year , the profit earned is rs . 44000 . what is the share of c ?", - "Output Program": [ - "n0 = 3.0\nn1 = 2.0\nn2 = 3.0\nn3 = 44000.0\nt0 = n1 / n0\nt1 = n0 * t0\nt2 = t0 + t1\nt3 = t2 + 1.0\nt4 = 1 / t3\nanswer = n3 * t4\nprint(answer)" - ], - "Output Answer": [ - "12000.000000000002" - ], - "split": "test" - }, - { - "Input": "a man bought 10 crates of mangoes for $ 40 total . if he lost 2 of the crates , at what price would he have to sell each of the remaining crates in order to earn a total profit of 20 percent of the total cost ?", - "Output Program": [ - "n0 = 10.0\nn1 = 40.0\nn2 = 2.0\nn3 = 20.0\nt0 = n3 / 100.0\nt1 = n0 - n2\nt2 = n1 * t0\nt3 = n1 + t2\nanswer = t3 / t1\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "test" - }, - { - "Input": "a number increased by 30 % gives 650 . the number is ?", - "Output Program": [ - "n0 = 30.0\nn1 = 650.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "test" - }, - { - "Input": "on a sum of money , the simple interest for 2 years is rs . 324 , while the compound interest is rs . 340 , the rate of interest being the same in both the cases . the rate of interest is", - "Output Program": [ - "n0 = 2.0\nn1 = 324.0\nn2 = 340.0\nt0 = n1 / n0\nt1 = n2 - t0\nt2 = t1 - t0\nt3 = t2 * 100.0\nanswer = t3 / t0\nprint(answer)" - ], - "Output Answer": [ - "9.876543209876543" - ], - "split": "test" - }, - { - "Input": "the population of a village is 13400 . it increases annually at the rate of 21 % p . a . what will be its population after 2 years ?", - "Output Program": [ - "n0 = 13400.0\nn1 = 21.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = t1**min(n2, 5)\nanswer = n0 * t2\nprint(answer)" - ], - "Output Answer": [ - "19618.94" - ], - "split": "test" - }, - { - "Input": "sonika deposited rs . 7000 which amounted to rs . 9200 after 3 years at simple interest . had the interest been 2 % more . she would get how much ?", - "Output Program": [ - "n0 = 7000.0\nn1 = 9200.0\nn2 = 3.0\nn3 = 2.0\nt0 = n3 / 100.0\nt1 = n1 - n0\nt2 = t1 / n2\nt3 = t2 / n0\nt4 = t0 + t3\nt5 = n0 * t4\nt6 = n2 * t5\nanswer = n0 + t6\nprint(answer)" - ], - "Output Answer": [ - "9620" - ], - "split": "test" - }, - { - "Input": "a 6 litre sol is 20 % alcohol . how many litres of pure alcohol must be added to produce a sol that is 50 % alcohol ?", - "Output Program": [ - "n0 = 6.0\nn1 = 20.0\nn2 = 50.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = t1 * 2.0\nanswer = n0 - t2\nprint(answer)" - ], - "Output Answer": [ - "3.5999999999999996" - ], - "split": "test" - }, - { - "Input": "if 45 % of z is 60 % of y and y is 75 % of x , what percent of x is z ?", - "Output Program": [ - "n0 = 45.0\nn1 = 60.0\nn2 = 75.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t1 / t2\nt4 = t0 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "test" - }, - { - "Input": "33 1 / 3 % of 240 ?", - "Output Program": [ - "n0 = 33.0\nn1 = 1.0\nn2 = 3.0\nn3 = 240.0\nt0 = n1 / n2\nt1 = n0 + t0\nt2 = n3 * t1\nanswer = t2 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "80.00000000000001" - ], - "split": "test" - }, - { - "Input": "how many litres of pure acid are there in 15 litres of a 20 % solution", - "Output Program": [ - "n0 = 15.0\nn1 = 20.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "3" - ], - "split": "test" - }, - { - "Input": "bhanu spends 30 % of his income on petrol on scooter 21 % of the remaining on house rent and the balance on food . if he spends rs . 300 on petrol then what is the expenditure on house rent ?", - "Output Program": [ - "n0 = 30.0\nn1 = 21.0\nn2 = 300.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = n2 / t1\nt3 = t2 - n2\nanswer = t0 * t3\nprint(answer)" - ], - "Output Answer": [ - "147" - ], - "split": "test" - }, - { - "Input": "rohan spends 40 % of his salary on food , 20 % on house rent , 10 % on entertainment and 10 % on conveyance . if his savings at the end of a month are rs . 500 . then his monthly salary is", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nn2 = 10.0\nn3 = 10.0\nn4 = 500.0\nt0 = 1.0 + 4.0\nanswer = n4 * t0\nprint(answer)" - ], - "Output Answer": [ - "2500" - ], - "split": "test" - }, - { - "Input": "a trader bought a car at 30 % discount on its original price . he sold it at a 50 % increase on the price he bought it . what percent of profit did he make on the original price ?", - "Output Program": [ - "n0 = 30.0\nn1 = 50.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 / 100.0\nt4 = t3 / 100.0\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "5.000000000000004" - ], - "split": "test" - }, - { - "Input": "a particular library has 150 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 65 percent of books that were loaned out are returned and there are 108 books in the special collection at that time , how many books of the special collection were loaned out during that month ?", - "Output Program": [ - "n0 = 150.0\nn1 = 65.0\nn2 = 108.0\nt0 = n1 / 100.0\nt1 = n0 - n2\nt2 = 1.0 - t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "120.00000000000001" - ], - "split": "test" - }, - { - "Input": "the simple interest and the true discount on a certain sum for a given time and at a given rate are rs . 90 and rs . 80 respectively . the sum is :", - "Output Program": [ - "n0 = 90.0\nn1 = 80.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "720" - ], - "split": "test" - }, - { - "Input": "a chemist mixes one liter of pure water with x liters of a 60 % salt solution , and the resulting mixture is a 15 % salt solution . what is the value of x ?", - "Output Program": [ - "n0 = 60.0\nn1 = 15.0\nt0 = n0 - n1\nanswer = n1 / t0\nprint(answer)" - ], - "Output Answer": [ - "0.3333333333333333" - ], - "split": "test" - }, - { - "Input": "a retailer sold an appliance for $ 100 . if the retailer ' s gross profit on the appliance was 25 percent of the retailer ' s cost for the appliance , how many dollars was the retailer ' s gross profit ?", - "Output Program": [ - "n0 = 100.0\nn1 = 25.0\nt0 = n1 / n0\nt1 = t0 + 1.0\nt2 = 1.0 / t1\nt3 = n0 * t2\nanswer = n0 - t3\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "test" - }, - { - "Input": "john makes $ 40 a week from his job . he earns a raise andnow makes $ 70 a week . what is the % increase ?", - "Output Program": [ - "n0 = 40.0\nn1 = 70.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "75" - ], - "split": "test" - }, - { - "Input": "one night a certain hotel rented 3 / 5 of its rooms , including 2 / 3 of their air conditioned rooms . if 3 / 5 of its rooms were air conditioned , what percent of the rooms that were not rented were air conditioned ?", - "Output Program": [ - "n0 = 3.0\nn1 = 5.0\nn2 = 2.0\nn3 = 3.0\nn4 = 3.0\nn5 = 5.0\nt0 = n0 / n1\nt1 = n2 / n0\nt2 = t0 * 100.0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = 100.0 - t2\nt6 = t4 / t5\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "50.000000000000014" - ], - "split": "test" - }, - { - "Input": "we had $ 1400 left after spending 30 % of the money that we took for shopping . how much money did we start with ?", - "Output Program": [ - "n0 = 1400.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "2000.0000000000002" - ], - "split": "test" - }, - { - "Input": "there are 1000 students in a school and among them 10 % of them attends chess class . 10 % of the students who are in the chess class are also enrolled for swimming . no other students are interested in swimming so how many will attend the swimming class if all enrolled attends ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 10.0\nn2 = 10.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n2 * t1\nanswer = t2 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "10" - ], - "split": "test" - }, - { - "Input": "a furniture dealer purchased a desk for $ 150 and then set the selling price equal to the purchase price plus a markup that was 20 % of the selling price . if the dealer sold the desk at the selling price , what was the amount of the dealer ' s gross profit from the purchase and the sale of the desk ?", - "Output Program": [ - "n0 = 150.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nt2 = n0 / t1\nt3 = t2 - n0\nt4 = t3 * 100.0\nanswer = t4 / n0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "test" - }, - { - "Input": "a trader cheats both his supplier and customer by using faulty weights . when he buys from the supplier , he takes 10 % more than the indicated weight . when he sells to his customer , he gives the customer a weight such that 10 % of that is added to the weight , the weight claimed by the trader is obtained . if he charges the cost price of the weight that he claims , find his profit percentage .", - "Output Program": [ - "n0 = 10.0\nn1 = 10.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = t1 / 100.0\nt3 = t0 * t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "21.000000000000014" - ], - "split": "test" - }, - { - "Input": "one - third of 600 is what percent of 120 ?", - "Output Program": [ - "n0 = 600.0\nn1 = 120.0\nt0 = n0 / 3.0\nt1 = t0 / n1\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "166.66666666666669" - ], - "split": "test" - }, - { - "Input": "a side of beef lost 35 percent of its weight in processing . if the side of beef weighed 545 pounds after processing , how many pounds did it weigh before processing ?", - "Output Program": [ - "n0 = 35.0\nn1 = 545.0\nt0 = n1 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "838.4615384615385" - ], - "split": "test" - }, - { - "Input": "by selling 10 pencils for a rupee a man loses 25 % . how many for a rupee should he sell in order to gain 25 % ?", - "Output Program": [ - "n0 = 10.0\nn1 = 25.0\nn2 = 25.0\nt0 = n2 + 100.0\nt1 = 100.0 - n1\nt2 = 1.0 / t1\nt3 = t0 * t2\nt4 = 1.0 / t3\nanswer = n0 * t4\nprint(answer)" - ], - "Output Answer": [ - "6" - ], - "split": "test" - }, - { - "Input": "a shopkeeper sold an book offering a discount of 5 % and earned a profit of 25 % . what would have been the percentage of profit earned if no discount was offered ?", - "Output Program": [ - "n0 = 5.0\nn1 = 25.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "131.57894736842107" - ], - "split": "test" - }, - { - "Input": "john had a stock of 1000 books in his bookshop . he sold 75 on monday , 50 on tuesday , 64 on wednesday , 78 on thursday and 135 on friday . what percentage of the books were not sold ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 75.0\nn2 = 50.0\nn3 = 64.0\nn4 = 78.0\nn5 = 135.0\nt0 = n1 + n2\nt1 = n3 + n4\nt2 = t0 + t1\nt3 = n5 + t2\nt4 = n0 - t3\nt5 = t4 / n0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "59.8" - ], - "split": "test" - }, - { - "Input": "the price of rice falls by 25 % . how much rice can be bought now with the money that was sufficient to buy 20 kg of rice previously ?", - "Output Program": [ - "n0 = 25.0\nn1 = 20.0\nt0 = 100.0 - n0\nt1 = t0 / n1\nanswer = 100.0 / t1\nprint(answer)" - ], - "Output Answer": [ - "26.666666666666668" - ], - "split": "test" - }, - { - "Input": "the population of a town is 10000 . it decreases annually at the rate of 20 % p . a . what will be its population after 2 years ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 20.0\nn2 = 2.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = n0 - t1\nt3 = t0 * t2\nanswer = t2 - t3\nprint(answer)" - ], - "Output Answer": [ - "6400" - ], - "split": "test" - }, - { - "Input": "if a man lost 4 % by selling oranges at the rate of 48 a rupee at how many a rupee must he sell them to gain 44 % ?", - "Output Program": [ - "n0 = 4.0\nn1 = 48.0\nn2 = 44.0\nt0 = n2 + 100.0\nt1 = 100.0 - n0\nt2 = n1 * t1\nanswer = t2 / t0\nprint(answer)" - ], - "Output Answer": [ - "32" - ], - "split": "test" - }, - { - "Input": "a 340 - liter solution of kola is made from 88 % water , 5 % concentrated kola and the rest is made from sugar . if 4.2 liters of sugar , 10 liter of water and 6.8 liters of concentrated kola were added to the solution , what percent of the solution is made from sugar ?", - "Output Program": [ - "n0 = 340.0\nn1 = 88.0\nn2 = 5.0\nn3 = 4.2\nn4 = 10.0\nn5 = 6.8\nt0 = n0 + n3\nt1 = n1 / 100.0\nt2 = n2 / 100.0\nt3 = n4 + t0\nt4 = n0 * t1\nt5 = n0 * t2\nt6 = n5 + t3\nt7 = n0 - t4\nt8 = t7 - t5\nt9 = n3 + t8\nt10 = t9 / t6\nanswer = t10 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "7.756232686980612" - ], - "split": "test" - }, - { - "Input": "a and b began business with rs . 3000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 798 find the share of a .", - "Output Program": [ - "n0 = 3000.0\nn1 = 4000.0\nn2 = 8.0\nn3 = 1000.0\nn4 = 1000.0\nn5 = 798.0\nt0 = n1 + n3\nt1 = n0 * n2\nt2 = n1 * n2\nt3 = n0 - n3\nt4 = 12.0 - n2\nt5 = t3 * t4\nt6 = t0 * t4\nt7 = t1 + t5\nt8 = t2 + t6\nt9 = t7 + t8\nt10 = n5 / t9\nanswer = t7 * t10\nprint(answer)" - ], - "Output Answer": [ - "304" - ], - "split": "test" - }, - { - "Input": "the length of a rectangular floor is more than its breadth by 200 % . if rs . 441 is required to paint the floor at the rate of rs . 3 / sq m , what would be the length of the floor ?", - "Output Program": [ - "import math\nn0 = 200.0\nn1 = 441.0\nn2 = 3.0\nt0 = n1 / n2\nt1 = t0 / 3.0\nt2 = math.sqrt(max(0, t1))\nanswer = t2 * 3.0\nprint(answer)" - ], - "Output Answer": [ - "21" - ], - "split": "test" - }, - { - "Input": "the owner of a furniture shop charges his customer 18 % more than the cost price . if a customer paid rs . 6000 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 18.0\nn1 = 6000.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "5084.745762711865" - ], - "split": "test" - }, - { - "Input": "find the simple interest on $ 10000 at 7 % per annum for 12 months ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 7.0\nn2 = 12.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "700.0000000000001" - ], - "split": "test" - }, - { - "Input": "a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 % . during the new year season , it further marked up its prices by 25 % of the original retail price . in february , the store then offered a discount of 15 % . what was its profit on the items sold in february ?", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nn2 = 15.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = 100.0 - n2\nt3 = t2 / 100.0\nt4 = t1 / 100.0\nt5 = t0 * t4\nt6 = t3 * t5\nanswer = t6 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "27.5" - ], - "split": "test" - }, - { - "Input": "a certain company \u2019 s profit in 1996 was 25 percent greater than its profit in 1995 , and its profit in 1997 was 30 percent greater than its profit in 1996 . the company \u2019 s profit in 1997 was what percent greater than its profit in 1995 ?", - "Output Program": [ - "n0 = 1996.0\nn1 = 25.0\nn2 = 1995.0\nn3 = 1997.0\nn4 = 30.0\nn5 = 1996.0\nn6 = 1997.0\nn7 = 1995.0\nt0 = n4 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "62.5" - ], - "split": "test" - }, - { - "Input": "after decreasing 90 % in the price of an article costs rs . 320 . find the actual cost of an article ?", - "Output Program": [ - "n0 = 90.0\nn1 = 320.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "3200.000000000001" - ], - "split": "test" - }, - { - "Input": "in a factory , there are 40 % technicians and 60 % non - technicians . if the 60 % of the technicians and 40 % of non - technicians are permanent employees , then the percentage of workers who are temporary is ?", - "Output Program": [ - "n0 = 40.0\nn1 = 60.0\nn2 = 60.0\nn3 = 40.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = n0 * t0\nt3 = n1 * t1\nt4 = t2 + t3\nanswer = 100.0 - t4\nprint(answer)" - ], - "Output Answer": [ - "52" - ], - "split": "test" - }, - { - "Input": "harkamal purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 75 per kg . how much amount did he pay to the shopkeeper ?", - "Output Program": [ - "n0 = 8.0\nn1 = 70.0\nn2 = 9.0\nn3 = 75.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" - ], - "Output Answer": [ - "1235" - ], - "split": "test" - }, - { - "Input": "what quantity of water should be added to reduce 20 liters of 80 % acidic liquid to 20 % acidic liquid ?", - "Output Program": [ - "n0 = 20.0\nn1 = 80.0\nn2 = 20.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nt2 = t1 * 100.0\nt3 = t2 / n2\nanswer = t3 - n0\nprint(answer)" - ], - "Output Answer": [ - "60" - ], - "split": "test" - }, - { - "Input": "if the compound interest on a certain sum of money for 5 years at 10 % per annum be rs . 993 , what would be the simple interest ?", - "Output Program": [ - "n0 = 5.0\nn1 = 10.0\nn2 = 993.0\nt0 = 3.0 * 100.0\nt1 = n1 * t0\nt2 = n1 * t1\nt3 = n0 * t2\nanswer = t3 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "1500" - ], - "split": "test" - }, - { - "Input": "the percentage profit earned by selling an article for rs . 1620 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 25 % profit ?", - "Output Program": [ - "n0 = 1620.0\nn1 = 1280.0\nn2 = 25.0\nt0 = n2 + 100.0\nt1 = n0 + n1\nt2 = t0 / 100.0\nt3 = t1 / 2.0\nanswer = t2 * t3\nprint(answer)" - ], - "Output Answer": [ - "1812.5" - ], - "split": "test" - }, - { - "Input": "a reduction of 10 % in the price of tea enables a dealer to purchase 25 kg more tea for rs . 22500 . what is the reduced price per kg of tea ?", - "Output Program": [ - "n0 = 10.0\nn1 = 25.0\nn2 = 22500.0\nt0 = 100.0 - n0\nt1 = 100.0 / t0\nt2 = t1 - 1.0\nt3 = n2 * t2\nt4 = t3 / n1\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "90.00000000000003" - ], - "split": "test" - }, - { - "Input": "in order to obtain an income of rs . 1250 from 10 % stock at rs . 210 , one must make an investment of", - "Output Program": [ - "n0 = 1250.0\nn1 = 10.0\nn2 = 210.0\nt0 = n2 / n1\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "26250" - ], - "split": "test" - }, - { - "Input": "a shopkeeper bought 600 oranges and 400 bananas . he found 15 % of oranges and 7 % of bananas were rotten . find the percentage of fruits in good condition ?", - "Output Program": [ - "n0 = 600.0\nn1 = 400.0\nn2 = 15.0\nn3 = 7.0\nt0 = n0 + n1\nt1 = n2 / 100.0\nt2 = n3 / 100.0\nt3 = n0 * t1\nt4 = n1 * t2\nt5 = t3 + t4\nt6 = t0 - t5\nt7 = t6 / t0\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "88.2" - ], - "split": "test" - }, - { - "Input": "sandy had $ 231 left after spending 30 % of the money she took for shopping . how much money did sandy take along with her ?", - "Output Program": [ - "n0 = 231.0\nn1 = 30.0\nt0 = 100.0 - n1\nt1 = t0 / 100.0\nanswer = n0 / t1\nprint(answer)" - ], - "Output Answer": [ - "330" - ], - "split": "test" - }, - { - "Input": "a , b and c invested rs . 6300 , rs . 4200 and rs . 10500 respectively , in a partnership business . find the share of a in profit of rs . 12400 after a year ?", - "Output Program": [ - "n0 = 6300.0\nn1 = 4200.0\nn2 = 10500.0\nn3 = 12400.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n0 / t1\nanswer = n3 * t2\nprint(answer)" - ], - "Output Answer": [ - "3720" - ], - "split": "test" - }, - { - "Input": "if 125 % of j is equal to 25 % of k , 150 % of k is equal to 50 % of l , and 175 % of l is equal to 75 % of m , then 20 % of m is equal to what percent of 150 % of j ?", - "Output Program": [ - "n0 = 125.0\nn1 = 25.0\nn2 = 150.0\nn3 = 50.0\nn4 = 175.0\nn5 = 75.0\nn6 = 20.0\nn7 = 150.0\nt0 = n0 * n2\nt1 = n1 * n3\nt2 = n4 * t0\nt3 = n5 * t1\nt4 = t2 / t3\nt5 = n6 * t4\nt6 = t5 / n7\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "466.6666666666667" - ], - "split": "test" - }, - { - "Input": "the cost price of 20 articles is the same as the selling price of x articles . if the profit is 25 % , find out the value of x", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nt0 = 1.0 + 4.0\nt1 = n0 * 4.0\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "16" - ], - "split": "test" - }, - { - "Input": "an error 5 % in excess is made while measuring the side of a square . what is the percentage of error in the calculated area of the square ?", - "Output Program": [ - "n0 = 5.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 / t1\nprint(answer)" - ], - "Output Answer": [ - "10.25" - ], - "split": "test" - }, - { - "Input": "by selling an article at rs . 800 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 45 % ?", - "Output Program": [ - "n0 = 800.0\nn1 = 25.0\nn2 = 45.0\nt0 = n1 + 100.0\nt1 = n0 * 100.0\nt2 = t1 / t0\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "352" - ], - "split": "test" - }, - { - "Input": "a car is purchased on hire - purchase . the cash price is $ 24 000 and the terms are a deposit of 10 % of the price , then the balance to be paid off over 60 equal monthly installments . interest is charged at 12 % p . a . what is the monthly installment ?", - "Output Program": [ - "n0 = 24.0\nn1 = 0.0\nn2 = 10.0\nn3 = 60.0\nn4 = 12.0\nt0 = n2 / 100.0\nt1 = n4 / 100.0\nt2 = n0 * 1000.0\nt3 = t1 / n4\nt4 = 1.0 - t0\nt5 = t2 * t4\nt6 = t5 / n3\nt7 = t3 * t5\nanswer = t6 + t7\nprint(answer)" - ], - "Output Answer": [ - "576" - ], - "split": "test" - }, - { - "Input": "in town p , 70 percent of the population are employed , and 42 percent of the population are employed males . what percent of the employed people in town p are females ?", - "Output Program": [ - "n0 = 70.0\nn1 = 42.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "test" - }, - { - "Input": "a number increased by 25 % gives 520 . the number is ?", - "Output Program": [ - "n0 = 25.0\nn1 = 520.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "416" - ], - "split": "test" - }, - { - "Input": "tickets to a certain concert sell for $ 20 each . the first 10 people to show up at the ticket booth received a 40 % discount , and the next 20 received a 15 % discount . if 52 people bought tickets to the concert , what was the total revenue from ticket sales ?", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nn2 = 40.0\nn3 = 20.0\nn4 = 15.0\nn5 = 52.0\nt0 = n2 / 100.0\nt1 = n4 / 100.0\nt2 = n5 - n0\nt3 = 1.0 - t0\nt4 = t2 - n1\nt5 = 1.0 - t1\nt6 = n1 * t3\nt7 = n0 * t5\nt8 = t6 + t4\nt9 = t8 + t7\nanswer = n0 * t9\nprint(answer)" - ], - "Output Answer": [ - "900" - ], - "split": "test" - }, - { - "Input": "if 30 % of a class averages 95 % on a test , 50 % of the class averages 79 % on the test , and the remainder of the class averages 60 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) .", - "Output Program": [ - "n0 = 30.0\nn1 = 95.0\nn2 = 50.0\nn3 = 79.0\nn4 = 60.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n3\nt3 = t1 + t2\nt4 = 100.0 - t0\nt5 = n4 * t4\nt6 = t3 + t5\nanswer = t6 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "test" - }, - { - "Input": "a man can row his boat with the stream at 30 km / h and against the stream in 14 km / h . the man ' s rate is ?", - "Output Program": [ - "n0 = 30.0\nn1 = 14.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" - ], - "Output Answer": [ - "8" - ], - "split": "test" - }, - { - "Input": "compound interest of rs . 2000 at 10 % per annum for 1 1 / 2 years will be ( interest compounded half yearly ) .", - "Output Program": [ - "n0 = 2000.0\nn1 = 10.0\nn2 = 1.0\nn3 = 1.0\nn4 = 2.0\nt0 = n1 / n4\nt1 = n2 / n4\nt2 = n2 + t1\nt3 = t0 / 100.0\nt4 = t3 + n2\nt5 = t2 * n4\nt6 = t4**min(t5, 5)\nt7 = n0 * t6\nanswer = t7 - n0\nprint(answer)" - ], - "Output Answer": [ - "315.25000000000045" - ], - "split": "test" - }, - { - "Input": "in a certain village , 200 litres of water are required per household per month . at this rate , if there are 5 households in the village , how long ( in months ) will 2000 litres of water last ?", - "Output Program": [ - "n0 = 200.0\nn1 = 5.0\nn2 = 2000.0\nt0 = n0 * n1\nanswer = n2 / t0\nprint(answer)" - ], - "Output Answer": [ - "2" - ], - "split": "test" - }, - { - "Input": "rs . 925 becomes rs . 956 in 3 years at a certain rate of simple interest . if the rate of interest is increased by 4 % , what amount will rs . 925 become in 3 years ?", - "Output Program": [ - "n0 = 925.0\nn1 = 956.0\nn2 = 3.0\nn3 = 4.0\nn4 = 925.0\nn5 = 3.0\nt0 = n0 * n2\nt1 = n1 - n0\nt2 = t1 * 100.0\nt3 = t2 / t0\nt4 = n3 + t3\nt5 = n0 * t4\nt6 = n2 * t5\nt7 = t6 / 100.0\nanswer = n0 + t7\nprint(answer)" - ], - "Output Answer": [ - "1067" - ], - "split": "test" - }, - { - "Input": "if 15 % of a is the same as 30 % of b , then a : b is :", - "Output Program": [ - "n0 = 15.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "2" - ], - "split": "test" - }, - { - "Input": "a sells a cricket bat to b at a profit of 20 % . b sells it to c at a profit of 25 % . if c pays $ 225 for it , the cost price of the cricket bat for a is :", - "Output Program": [ - "n0 = 20.0\nn1 = 25.0\nn2 = 225.0\nt0 = n0 / 100.0\nt1 = n1 / 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nanswer = n2 / t4\nprint(answer)" - ], - "Output Answer": [ - "150" - ], - "split": "test" - }, - { - "Input": "the owner of a furniture shop charges his customer 10 % more than the cost price . if a customer paid rs . 2200 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 10.0\nn1 = 2200.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "1999.9999999999998" - ], - "split": "test" - }, - { - "Input": "one fourth of a solution that was 10 % salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight . the second solution was what percent salt by weight ?", - "Output Program": [ - "n0 = 10.0\nn1 = 16.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = t0 * 4.0\nt3 = t1 * 4.0\nt4 = t3 - t1\nt5 = t2 - t4\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "34" - ], - "split": "test" - }, - { - "Input": "peter invests a sum of money and gets back an amount of $ 810 in 3 years . david invests an equal amount of money and gets an amount of $ 854 in 4 years . if both amounts were invested at the same rate ( simple interest ) what was the sum of money invested ?", - "Output Program": [ - "n0 = 810.0\nn1 = 3.0\nn2 = 854.0\nn3 = 4.0\nt0 = n3 / 100.0\nt1 = n1 / 100.0\nt2 = n2 - n0\nt3 = t0 - t1\nt4 = t2 / t3\nt5 = t4 * t1\nanswer = n0 - t5\nprint(answer)" - ], - "Output Answer": [ - "678" - ], - "split": "test" - }, - { - "Input": "a hostel had provisions for 250 men for 44 days . if 50 men left the hostel , how long will the food last at the same rate ?", - "Output Program": [ - "n0 = 250.0\nn1 = 44.0\nn2 = 50.0\nt0 = n0 * n1\nt1 = n0 - n2\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "55" - ], - "split": "test" - }, - { - "Input": "the owner of a furniture shop charges his customer 24 % more than the cost price . if a customer paid rs . 8339 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 24.0\nn1 = 8339.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "6725" - ], - "split": "test" - }, - { - "Input": "rs . 850 becomes rs . 956 in 3 years at a certain rate of simple interest . if the rate of interest is increased by 4 % , what amount will rs . 850 become in 3 years ?", - "Output Program": [ - "n0 = 850.0\nn1 = 956.0\nn2 = 3.0\nn3 = 4.0\nn4 = 850.0\nn5 = 3.0\nt0 = n0 * n2\nt1 = n1 - n0\nt2 = t1 * 100.0\nt3 = t2 / t0\nt4 = n3 + t3\nt5 = n0 * t4\nt6 = n2 * t5\nt7 = t6 / 100.0\nanswer = n0 + t7\nprint(answer)" - ], - "Output Answer": [ - "1058" - ], - "split": "test" - }, - { - "Input": "a baseball card decreased in value 25 % in its first year and 10 % in its second year . what was the total percent decrease of the card ' s value over the two years ?", - "Output Program": [ - "n0 = 25.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t2 * t3\nt5 = t4 * 100.0\nanswer = 100.0 - t5\nprint(answer)" - ], - "Output Answer": [ - "32.5" - ], - "split": "test" - }, - { - "Input": "a dealer offers a cash discount of 16 % and still makes a profit of 25 % when he further allows 60 articles to be sold at the cost price of 50 articles to a particular sticky bargainer . how much percent above the cost price were his articles listed ?", - "Output Program": [ - "n0 = 16.0\nn1 = 25.0\nn2 = 60.0\nn3 = 50.0\nt0 = n1 + 100.0\nt1 = n2 - n3\nt2 = 100.0 - n0\nt3 = t0 / 100.0\nt4 = t1 / n2\nt5 = t2 / 100.0\nt6 = 1.0 - t4\nt7 = t3 / t6\nt8 = t7 / t5\nt9 = t8 - 1.0\nanswer = t9 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "78.57142857142858" - ], - "split": "test" - }, - { - "Input": "the owner of a furniture shop charges his customer 25 % more than the cost price . if a customer paid rs . 8400 for a computer table , then what was the cost price of the computer table ?", - "Output Program": [ - "n0 = 25.0\nn1 = 8400.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "6720" - ], - "split": "test" - }, - { - "Input": "reena took a loan of $ . 1200 with simple interest for as many years as the rate of interest . if she paid $ 588 as interest at the end of the loan period , what was the rate of interest ?", - "Output Program": [ - "import math\nn0 = 1200.0\nn1 = 588.0\nt0 = n1 * 100.0\nt1 = t0 / n0\nanswer = math.sqrt(max(0, t1))\nprint(answer)" - ], - "Output Answer": [ - "7" - ], - "split": "test" - }, - { - "Input": "a reduction of 40 % in the price of bananas would enable a man to obtain 60 more for rs . 40 , what is reduced price per dozen ?", - "Output Program": [ - "n0 = 40.0\nn1 = 60.0\nn2 = 40.0\nt0 = n0 / 100.0\nt1 = n0 * t0\nt2 = t1 / n1\nanswer = t2 * 12.0\nprint(answer)" - ], - "Output Answer": [ - "3.2" - ], - "split": "test" - }, - { - "Input": "a man two flats for $ 675958 each . on one he gains 16 % while on the other he loses 16 % . how much does he gain or lose in the whole transaction ?", - "Output Program": [ - "n0 = 675958.0\nn1 = 16.0\nn2 = 16.0\nt0 = n1 + 100.0\nt1 = n0 + n0\nt2 = 100.0 - n1\nt3 = 100.0 / t0\nt4 = 100.0 / t2\nt5 = n0 * t3\nt6 = n0 * t4\nt7 = t5 + t6\nt8 = t7 - t1\nt9 = t8 / t7\nanswer = t9 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2.559999999999996" - ], - "split": "test" - }, - { - "Input": "vijay sells a cupboard at 10 % below cost price . had he got rs . 1500 more , he would have made a profit of 10 % . what is the cost price of the cupboard ?", - "Output Program": [ - "n0 = 10.0\nn1 = 1500.0\nn2 = 10.0\nt0 = n0 + 100.0\nt1 = 100.0 - n0\nt2 = t0 - t1\nt3 = t2 / 100.0\nanswer = n1 / t3\nprint(answer)" - ], - "Output Answer": [ - "7500" - ], - "split": "test" - }, - { - "Input": "if 5 % more is gained by selling an article for rs . 350 than by selling it for rs . 320 , the cost of the article is", - "Output Program": [ - "n0 = 5.0\nn1 = 350.0\nn2 = 320.0\nt0 = n0 / 100.0\nt1 = n1 - n2\nanswer = t1 / t0\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "test" - }, - { - "Input": "a person lent a certain sum of money at 5 % per annum at simple interest and in 8 years the interest amounted to $ 480 less than the sum lent . what was the sum lent ?", - "Output Program": [ - "n0 = 5.0\nn1 = 8.0\nn2 = 480.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "800" - ], - "split": "test" - }, - { - "Input": "if 125 % of j is equal to 25 % of k , 150 % of k is equal to 50 % of l , and 175 % of l is equal to 75 % of m , then 30 % of m is equal to what percent of 200 % of j ?", - "Output Program": [ - "n0 = 125.0\nn1 = 25.0\nn2 = 150.0\nn3 = 50.0\nn4 = 175.0\nn5 = 75.0\nn6 = 30.0\nn7 = 200.0\nt0 = n0 * n2\nt1 = n1 * n3\nt2 = n4 * t0\nt3 = n5 * t1\nt4 = t2 / t3\nt5 = n6 * t4\nt6 = t5 / n7\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "525" - ], - "split": "test" - }, - { - "Input": "a sum of money deposited at c . i . amounts to rs . 500 in 3 years and to rs . 650 in 4 years . find the rate percent ?", - "Output Program": [ - "n0 = 500.0\nn1 = 3.0\nn2 = 650.0\nn3 = 4.0\nt0 = n2 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "test" - }, - { - "Input": "consider a lady took a loan from a bank at the rate of 12 % p . a . simple interest . after 3 years she had to pay rs . 9900 interest only for the period . the principal amount borrowed by her was", - "Output Program": [ - "n0 = 12.0\nn1 = 3.0\nn2 = 9900.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nanswer = n2 / t1\nprint(answer)" - ], - "Output Answer": [ - "27500" - ], - "split": "test" - }, - { - "Input": "if the cost price is 96 % of the selling price , then what is the profit percent ?", - "Output Program": [ - "n0 = 96.0\nt0 = 100.0 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "4.166666666666666" - ], - "split": "test" - }, - { - "Input": "a sum of money deposited at c . i . amounts to rs . 5000 in 5 years and to rs . 5750 in 6 years . find the rate percent ?", - "Output Program": [ - "n0 = 5000.0\nn1 = 5.0\nn2 = 5750.0\nn3 = 6.0\nt0 = n2 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "15" - ], - "split": "test" - }, - { - "Input": "a watch was sold at a loss of 10 % . if it was sold for rs . 140 more , there would have been a gain of 4 % . what is the cost price ?", - "Output Program": [ - "n0 = 10.0\nn1 = 140.0\nn2 = 4.0\nt0 = 100.0 + n2\nt1 = n1 * 100.0\nt2 = 100.0 - n0\nt3 = t0 - t2\nanswer = t1 / t3\nprint(answer)" - ], - "Output Answer": [ - "1000" - ], - "split": "test" - }, - { - "Input": "because he \u2019 s taxed by his home planet , mork pays a tax rate of 40 % on his income , while mindy pays a rate of only 30 % on hers . if mindy earned 5 times as much as mork did , what was their combined tax rate ?", - "Output Program": [ - "n0 = 40.0\nn1 = 30.0\nn2 = 5.0\nt0 = n2 + 1.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = n2 * t2\nt4 = t1 + t3\nt5 = t4 / t0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "31.666666666666664" - ], - "split": "test" - }, - { - "Input": "a dishonest shopkeeper professes to sell pulses at the cost price , but he uses a false weight of 920 gm . for a kg . his gain is \u2026 % .", - "Output Program": [ - "n0 = 920.0\nt0 = 1.0 + 4.0\nt1 = t0 * 2.0\nt2 = t1 * 100.0\nt3 = n0 / t2\nt4 = 1 / t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "8.695652173913038" - ], - "split": "test" - }, - { - "Input": "a pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer \u2019 s suggested retail price . if during a sale , the store discounts an additional 20 percent from the discount price , what would be the lowest possible price of a container of pet food that had a manufacturer \u2019 s suggested retail price o f $ 25.00 ?", - "Output Program": [ - "n0 = 10.0\nn1 = 30.0\nn2 = 20.0\nn3 = 25.0\nt0 = 100.0 - n2\nt1 = 100.0 - n1\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = n3 * t3\nanswer = t2 * t4\nprint(answer)" - ], - "Output Answer": [ - "14" - ], - "split": "test" - }, - { - "Input": "during a sale , the price of a pair of shoes is marked down 10 % from the regular price . after the sale ends , the price goes back to the original price . what is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes ?", - "Output Program": [ - "n0 = 10.0\nt0 = n0 * 100.0\nt1 = 100.0 - n0\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "11.11111111111111" - ], - "split": "test" - }, - { - "Input": "a person bought 135 glass bowls at a rate of rs . 15 per bowl . he sold 115 of them at rs . 18 and the remaining broke . what is the percentage gain for a ?", - "Output Program": [ - "n0 = 135.0\nn1 = 15.0\nn2 = 115.0\nn3 = 18.0\nt0 = n2 * n3\nt1 = n0 * n1\nt2 = t0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2.2222222222222223" - ], - "split": "test" - }, - { - "Input": "in a certain pond , 80 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?", - "Output Program": [ - "n0 = 80.0\nn1 = 50.0\nn2 = 2.0\nt0 = n2 / n1\nanswer = n0 / t0\nprint(answer)" - ], - "Output Answer": [ - "2000" - ], - "split": "test" - }, - { - "Input": "7 carpet - weavers can weave 7 carpets in 7 days . at the same rate , how many carpets would be woven by 14 carpet - weavers in 14 days ?", - "Output Program": [ - "n0 = 7.0\nn1 = 7.0\nn2 = 7.0\nn3 = 14.0\nn4 = 14.0\nt0 = n0 + n0\nanswer = n3 + t0\nprint(answer)" - ], - "Output Answer": [ - "28" - ], - "split": "test" - }, - { - "Input": "a money lender lent rs . 1000 at 4 % per year and rs . 1400 at 5 % per year . the amount should be returned to him when the total interest comes to rs . 350 . find the number of years .", - "Output Program": [ - "n0 = 1000.0\nn1 = 4.0\nn2 = 1400.0\nn3 = 5.0\nn4 = 350.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 + t3\nanswer = n4 / t4\nprint(answer)" - ], - "Output Answer": [ - "3.1818181818181817" - ], - "split": "test" - }, - { - "Input": "machine p and machine q are each used to manufacture 770 sprockets . it takes machine p 10 hours longer to produce 770 sprockets than machine q . machine q produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machine a produce ?", - "Output Program": [ - "n0 = 770.0\nn1 = 10.0\nn2 = 770.0\nn3 = 10.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nt2 = n0 / t1\nt3 = n0 - t2\nanswer = t3 / n1\nprint(answer)" - ], - "Output Answer": [ - "7" - ], - "split": "test" - }, - { - "Input": "the c . p of 20 books is equal to the s . p of 30 books . find his gain % or loss % ?", - "Output Program": [ - "n0 = 20.0\nn1 = 30.0\nt0 = n0 / n1\nt1 = 1.0 - t0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "33.333333333333336" - ], - "split": "test" - }, - { - "Input": "weights of two friends ram and shyam are in the ratio 3 : 5 . if ram ' s weight is increased by 10 % and total weight of ram and shyam become 82.8 kg , with an increases of 15 % . by what percent did the weight of shyam has to be increased ?", - "Output Program": [ - "n0 = 3.0\nn1 = 5.0\nn2 = 10.0\nn3 = 82.8\nn4 = 15.0\nt0 = n0 / n1\nt1 = n4 - n2\nt2 = t0 * t1\nanswer = n4 + t2\nprint(answer)" - ], - "Output Answer": [ - "18" - ], - "split": "test" - }, - { - "Input": "in the manufacture of a certain product , 7 percent of the units produced are defective and 4 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?", - "Output Program": [ - "n0 = 7.0\nn1 = 4.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "0.28" - ], - "split": "test" - }, - { - "Input": "a trader bought a car at 30 % discount on its original price . he sold it at a 80 % increase on the price he bought it . what percent of profit did he make on the original price ?", - "Output Program": [ - "n0 = 30.0\nn1 = 80.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 / 100.0\nt4 = t3 / 100.0\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "26" - ], - "split": "test" - }, - { - "Input": "a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 60 percent of books that were loaned out are returned and there are 65 books in the special collection at that time , how many books of the special collection were loaned out during that month ?", - "Output Program": [ - "n0 = 75.0\nn1 = 60.0\nn2 = 65.0\nt0 = n1 / 100.0\nt1 = n0 - n2\nt2 = 1.0 - t0\nanswer = t1 / t2\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "test" - }, - { - "Input": "ramu bought an old car for rs . 38000 . he spent rs . 12000 on repairs and sold it for rs . 64900 . what is his profit percent ?", - "Output Program": [ - "n0 = 38000.0\nn1 = 12000.0\nn2 = 64900.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "29.799999999999997" - ], - "split": "test" - }, - { - "Input": "alfred buys an old scooter for $ 4700 and spends $ 800 on its repairs . if he sells the scooter for $ 6400 , his gain percent is ?", - "Output Program": [ - "n0 = 4700.0\nn1 = 800.0\nn2 = 6400.0\nt0 = n0 + n1\nt1 = n2 - t0\nt2 = t1 / t0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "16.363636363636363" - ], - "split": "test" - }, - { - "Input": "if the selling price of 100 articles is equal to the cost price of 63 articles , then the loss or gain percent is :", - "Output Program": [ - "n0 = 100.0\nn1 = 63.0\n\nanswer = n0 - n1\nprint(answer)" - ], - "Output Answer": [ - "37" - ], - "split": "test" - }, - { - "Input": "a person buys an article at $ 380 . at what price should he sell the article so as to make a profit of 25 % ?", - "Output Program": [ - "n0 = 380.0\nn1 = 25.0\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n0 + t1\nprint(answer)" - ], - "Output Answer": [ - "475" - ], - "split": "test" - }, - { - "Input": "in certain code ' twice ' is written as ' 34 $ 5 \u03b4 ' and ' wears ' is written as ' 4 \u03b4 29 % ' . how is ' seat ' written in that code ?", - "Output Program": [ - "n0 = 34.0\nn1 = 5.0\nn2 = 4.0\nn3 = 29.0\nt0 = n3 - n1\nanswer = t0 - 1.0\nprint(answer)" - ], - "Output Answer": [ - "23" - ], - "split": "test" - }, - { - "Input": "a number increased by 20 % gives 600 . the number is", - "Output Program": [ - "n0 = 20.0\nn1 = 600.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "500" - ], - "split": "test" - }, - { - "Input": "when a laptop is sold for rs . 49,000 , the owner loses 30 % . at what price must that laptop be sold in order to gain 30 % ?", - "Output Program": [ - "n0 = 49000.0\nn1 = 30.0\nn2 = 30.0\nt0 = n1 + 100.0\nt1 = 3.0 + 4.0\nt2 = 2.0 + 3.0\nt3 = 100.0 - n1\nt4 = t1 * t1\nt5 = t2 * 2.0\nt6 = t4 * 100.0\nt7 = t6 * t5\nt8 = t7 / t3\nanswer = t0 * t8\nprint(answer)" - ], - "Output Answer": [ - "91000" - ], - "split": "test" - }, - { - "Input": "the cost price of an article is 64 % of the marked price . calculate the gain percent after allowing a discount of 15 % ?", - "Output Program": [ - "n0 = 64.0\nn1 = 15.0\nt0 = 100.0 - n1\nt1 = t0 / n0\nt2 = t1 - 1.0\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "32.8125" - ], - "split": "test" - }, - { - "Input": "the calendar of the year 2028 can be used again in the year ?", - "Output Program": [ - "n0 = 2028.0\nt0 = 4.0 * 4.0\nt1 = t0 - 2.0\nt2 = t1 * 2.0\nanswer = n0 + t2\nprint(answer)" - ], - "Output Answer": [ - "2056" - ], - "split": "test" - }, - { - "Input": "on a sum of money , simple interest for 2 years is rs 660 and compound interest is rs 696.30 , the rate of interest being the same in both cases .", - "Output Program": [ - "n0 = 2.0\nn1 = 660.0\nn2 = 696.3\nt0 = n2 - n1\nt1 = n0 * t0\nt2 = t1 / n1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "10.999999999999986" - ], - "split": "test" - }, - { - "Input": "a pair of articles was bought for $ 50 at a discount of 50 % . what must be the marked price of each of the article ?", - "Output Program": [ - "n0 = 50.0\nn1 = 50.0\nt0 = n0 / 2.0\nt1 = 100.0 - n1\nt2 = t0 * t1\nanswer = t2 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "12.5" - ], - "split": "test" - }, - { - "Input": "a tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride . the proportion of sodium chloride in the tank is 40 % by volume and the capacity of the tank is 24 gallons . if the water evaporates from the tank at the rate of 0.5 gallons per hour , and the amount of sodium chloride stays the same , what will be the concentration of water in the mixture in 6 hours ?", - "Output Program": [ - "n0 = 40.0\nn1 = 24.0\nn2 = 0.5\nn3 = 6.0\nt0 = n2 * n3\nt1 = 100.0 - n0\nt2 = n3 * t1\nt3 = n3 - t0\nt4 = t2 / 100.0\nt5 = t4 - t0\nt6 = t5 / t3\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20.000000000000004" - ], - "split": "test" - }, - { - "Input": "a reduction of 40 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 800 , what is the reduced price for kg ?", - "Output Program": [ - "n0 = 40.0\nn1 = 5.0\nn2 = 800.0\nt0 = n0 * n2\nt1 = t0 / 100.0\nanswer = t1 / n1\nprint(answer)" - ], - "Output Answer": [ - "64" - ], - "split": "test" - }, - { - "Input": "after decreasing 80 % in the price of an article costs rs . 320 . find the actual cost of an article ?", - "Output Program": [ - "n0 = 80.0\nn1 = 320.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "1600.0000000000005" - ], - "split": "test" - }, - { - "Input": "a money lender finds that due to a fall in the annual rate of interest from 8 % to 7 1 / 5 % his yearly income diminishes by rs . 61.50 . his capital is", - "Output Program": [ - "n0 = 8.0\nn1 = 7.0\nn2 = 1.0\nn3 = 5.0\nn4 = 61.5\nt0 = 4.0 / n3\nanswer = n4 / t0\nprint(answer)" - ], - "Output Answer": [ - "76.875" - ], - "split": "test" - }, - { - "Input": "thirty percent of the members of a swim club have passed the lifesaving test . among the members who havenotpassed the test , 19 have taken the preparatory course and 30 have not taken the course . how many members are there in the swim club ?", - "Output Program": [ - "n0 = 19.0\nn1 = 30.0\nt0 = n0 + n1\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nanswer = t0 / t2\nprint(answer)" - ], - "Output Answer": [ - "70" - ], - "split": "test" - }, - { - "Input": "a number increased by 30 % gives 780 . the number is", - "Output Program": [ - "n0 = 30.0\nn1 = 780.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "test" - }, - { - "Input": "how long does a train 250 meters long running at the rate of 72 km / hr take to cross a bridge 150 meters in length ?", - "Output Program": [ - "n0 = 250.0\nn1 = 72.0\nn2 = 150.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" - ], - "Output Answer": [ - "19.99840012798976" - ], - "split": "test" - }, - { - "Input": "john makes $ 50 a week from his job . he earns a raise and now makes $ 60 a week . what is the % increase ?", - "Output Program": [ - "n0 = 50.0\nn1 = 60.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "test" - }, - { - "Input": "in the fifth grade at parkway elementary school there are 420 students . 312 students are boys and 250 students are playing soccer . 90 % of the students that play soccer are boys . how many girl student are in parkway that is not playing soccer ?", - "Output Program": [ - "n0 = 420.0\nn1 = 312.0\nn2 = 250.0\nn3 = 90.0\nt0 = n2 * n3\nt1 = n0 - n1\nt2 = t0 / 100.0\nt3 = n2 - t2\nanswer = t1 - t3\nprint(answer)" - ], - "Output Answer": [ - "83" - ], - "split": "test" - }, - { - "Input": "john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price . if the final price was $ 14 , what was the price before the first discount ?", - "Output Program": [ - "n0 = 25.0\nn1 = 25.0\nn2 = 14.0\nt0 = 100.0 * 100.0\nt1 = 100.0 - n0\nt2 = n2 * t0\nt3 = t1 * 100.0\nt4 = n0 * t1\nt5 = t3 - t4\nanswer = t2 / t5\nprint(answer)" - ], - "Output Answer": [ - "24.88888888888889" - ], - "split": "test" - }, - { - "Input": "daniel went to a shop and bought things worth rs . 25 , out of which 60 paise went on sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ?", - "Output Program": [ - "n0 = 25.0\nn1 = 60.0\nn2 = 6.0\nt0 = n1 / 100.0\nt1 = n1 / n2\nt2 = n0 - t0\nanswer = t2 - t1\nprint(answer)" - ], - "Output Answer": [ - "14.399999999999999" - ], - "split": "test" - }, - { - "Input": "if 40 % of a certain number is 160 , then what is 90 % of that number ?", - "Output Program": [ - "n0 = 40.0\nn1 = 160.0\nn2 = 90.0\nt0 = n0 / 100.0\nt1 = n2 / 100.0\nt2 = n1 / t0\nanswer = t2 * t1\nprint(answer)" - ], - "Output Answer": [ - "360" - ], - "split": "test" - }, - { - "Input": "a candidate got 35 % of the votes polled and he lost to his rival by 2430 votes . how many votes were cast ?", - "Output Program": [ - "n0 = 35.0\nn1 = 2430.0\nt0 = n0 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "8099.999999999999" - ], - "split": "test" - }, - { - "Input": "if the a radio is sold for rs 490 and sold for rs 465.50 . find loss % .", - "Output Program": [ - "n0 = 490.0\nn1 = 465.5\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "5" - ], - "split": "test" - }, - { - "Input": "a cycle is bought for rs . 900 and sold for rs . 1160 , find the gain percent ?", - "Output Program": [ - "n0 = 900.0\nn1 = 1160.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "28.888888888888886" - ], - "split": "test" - }, - { - "Input": "sonika deposited rs . 8000 which amounted to rs . 9200 after 3 years at simple interest . had the interest been 1.5 % more . she would get how much ?", - "Output Program": [ - "n0 = 8000.0\nn1 = 9200.0\nn2 = 3.0\nn3 = 1.5\nt0 = n3 / 100.0\nt1 = n1 - n0\nt2 = t1 / n2\nt3 = t2 / n0\nt4 = t0 + t3\nt5 = n0 * t4\nt6 = n2 * t5\nanswer = n0 + t6\nprint(answer)" - ], - "Output Answer": [ - "9560" - ], - "split": "test" - }, - { - "Input": "if an article is sold at 18 % profit instead of 9 % profit , then the profit would be $ 54 more . what is the cost price ?", - "Output Program": [ - "n0 = 18.0\nn1 = 9.0\nn2 = 54.0\nt0 = n2 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "test" - }, - { - "Input": "peter invested a certain sum of money in a simple interest bond whose value grew to $ 400 at the end of 3 years and to $ 600 at the end of another 2 years . what was the rate of interest in which he invested his sum ?", - "Output Program": [ - "n0 = 400.0\nn1 = 3.0\nn2 = 600.0\nn3 = 2.0\nt0 = n2 - n0\nt1 = t0 / n3\nt2 = n1 * t1\nt3 = n0 - t2\nt4 = t1 / t3\nanswer = t4 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "test" - }, - { - "Input": "\u221a 4 percent of 4 \u221a 4 =", - "Output Program": [ - "import math\nn0 = 4.0\nn1 = 4.0\nn2 = 4.0\nt0 = math.sqrt(max(0, n0))\nt1 = t0 * t0\nt2 = n0 * t1\nanswer = t2 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "0.16" - ], - "split": "test" - }, - { - "Input": "a and b began business with rs . 3000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000.00001 more . at the end of the year , their profits amounted to rs . 714 find the share of a .", - "Output Program": [ - "n0 = 3000.0\nn1 = 4000.0\nn2 = 8.0\nn3 = 1000.0\nn4 = 1000.00001\nn5 = 714.0\nt0 = n1 + n3\nt1 = n0 * n2\nt2 = n1 * n2\nt3 = n0 - n3\nt4 = 12.0 - n2\nt5 = t3 * t4\nt6 = t0 * t4\nt7 = t1 + t5\nt8 = t2 + t6\nt9 = t7 + t8\nt10 = n5 / t9\nanswer = t7 * t10\nprint(answer)" - ], - "Output Answer": [ - "272" - ], - "split": "test" - }, - { - "Input": "a man walking at a rate of 10 km / hr crosses a bridge in 12 minutes . the length of the bridge is ?", - "Output Program": [ - "n0 = 10.0\nn1 = 12.0\nt0 = n0 * 1000.0\nt1 = t0 / 60.0\nanswer = n1 * t1\nprint(answer)" - ], - "Output Answer": [ - "2000" - ], - "split": "test" - }, - { - "Input": "there are 1000 students in a school and among them 30 % of them attends chess class . 10 % of the students who are in the chess class are also enrolled for swimming . no other students are interested in swimming so how many will attend the swimming class if all enrolled attends ?", - "Output Program": [ - "n0 = 1000.0\nn1 = 30.0\nn2 = 10.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n2 * t1\nanswer = t2 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "30" - ], - "split": "test" - }, - { - "Input": "exactly 15 % of the reporters for a certain wire service cover local politics in country x . if 25 % of the reporters who cover politics for the wire service do not cover local politics in country x , what percent of the reporters for the wire service do not cover politics ?", - "Output Program": [ - "n0 = 15.0\nn1 = 25.0\nt0 = 100.0 - n1\nt1 = n0 / t0\nt2 = 1.0 - t1\nanswer = t2 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "test" - }, - { - "Input": "a shopkeeper labeled the price of his articles so as to earn a profit of 40 % on the cost price . he then sold the articles by offering a discount of 10 % on the labeled price . what is the actual percent profit earned in the deal ?", - "Output Program": [ - "n0 = 40.0\nn1 = 10.0\nt0 = n0 + 100.0\nt1 = n1 / 100.0\nt2 = t0 * t1\nt3 = t0 - t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "26" - ], - "split": "test" - }, - { - "Input": "during a thanksgiving weekend , a car rental company rented 6 - tenths of their vehicles , including two - fifths of the 4 wds that it had . if 40 % of the vehicles are 4 wds , then what percent of the vehicles that were not rented were not 4 wds ?", - "Output Program": [ - "n0 = 6.0\nn1 = 4.0\nn2 = 40.0\nn3 = 4.0\nn4 = 4.0\nt0 = 2.0 + 3.0\nt1 = n2 * 2.0\nt2 = t1 / t0\nt3 = t2 / n2\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "test" - }, - { - "Input": "mr . jones gave 40 % of the money he had to his wife . he also gave 20 % of the remaining amount to his 3 sons . and half of the amount now left was spent on miscellaneous items and the remaining amount of rs . 12000 was deposited in the bank . how much money did mr . jones have initially ?", - "Output Program": [ - "n0 = 40.0\nn1 = 20.0\nn2 = 3.0\nn3 = 12000.0\nt0 = 100.0 / 2.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = t0 / 100.0\nt4 = 1.0 - t1\nt5 = 1.0 - t2\nt6 = t4 * t5\nt7 = t3 * t6\nanswer = n3 / t7\nprint(answer)" - ], - "Output Answer": [ - "50000" - ], - "split": "test" - }, - { - "Input": "20 litres of mixture contains 40 % alcohol and the rest water . if 8 litres of water be mixed with it , the percentage of alcohol in the new mixture would be ?", - "Output Program": [ - "n0 = 20.0\nn1 = 40.0\nn2 = 8.0\nt0 = n0 + n2\nt1 = 100.0 - n1\nt2 = t1 / 100.0\nt3 = n0 * t2\nt4 = n2 + t3\nt5 = t0 - t4\nt6 = t5 / t0\nanswer = t6 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "28.57142857142857" - ], - "split": "test" - }, - { - "Input": "the profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448 . what should be the sale price for making 35 % profit ?", - "Output Program": [ - "n0 = 832.0\nn1 = 448.0\nn2 = 35.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nt2 = n2 * t1\nt3 = t2 / 100.0\nanswer = t3 + t1\nprint(answer)" - ], - "Output Answer": [ - "864" - ], - "split": "test" - }, - { - "Input": "a person lent a certain sum of money at 5 % per annum at simple interest and in 8 years the interest amounted to $ 420 less than the sum lent . what was the sum lent ?", - "Output Program": [ - "n0 = 5.0\nn1 = 8.0\nn2 = 420.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" - ], - "Output Answer": [ - "700" - ], - "split": "test" - }, - { - "Input": "john paid a sum of money for purchasing 20 pens , which he recovered in full when he sold 10 of them . what was his percentage of profit or loss per pen ?", - "Output Program": [ - "n0 = 20.0\nn1 = 10.0\nt0 = n0 - n1\nt1 = t0 / n1\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "100" - ], - "split": "test" - }, - { - "Input": "the calendar of the year 2040 can be used again in the year ?", - "Output Program": [ - "n0 = 2040.0\nt0 = 4.0 * 4.0\nt1 = t0 - 2.0\nt2 = t1 * 2.0\nanswer = n0 + t2\nprint(answer)" - ], - "Output Answer": [ - "2068" - ], - "split": "test" - }, - { - "Input": "if the cost price of 140 pencils is equal to the selling price of 100 pencils , the gain percent is", - "Output Program": [ - "n0 = 140.0\nn1 = 100.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = 100.0 / t1\nprint(answer)" - ], - "Output Answer": [ - "40" - ], - "split": "test" - }, - { - "Input": "in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 10 percent , but profits were 15 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?", - "Output Program": [ - "n0 = 2008.0\nn1 = 10.0\nn2 = 2009.0\nn3 = 10.0\nn4 = 15.0\nn5 = 2009.0\nn6 = 2008.0\nt0 = n3 / 100.0\nt1 = 1.0 - t0\nt2 = n4 * t1\nt3 = t2 / n1\nanswer = t3 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "135" - ], - "split": "test" - }, - { - "Input": "find the simple interest on $ 10000 at 6 % per annum for 12 months ?", - "Output Program": [ - "n0 = 10000.0\nn1 = 6.0\nn2 = 12.0\nt0 = n1 / 100.0\nanswer = n0 * t0\nprint(answer)" - ], - "Output Answer": [ - "600" - ], - "split": "test" - }, - { - "Input": "a man two flats for $ 675958 each . on one he gains 13 % while on the other he loses 13 % . how much does he gain or lose in the whole transaction ?", - "Output Program": [ - "n0 = 675958.0\nn1 = 13.0\nn2 = 13.0\nt0 = n1 + 100.0\nt1 = n0 + n0\nt2 = 100.0 - n1\nt3 = 100.0 / t0\nt4 = 100.0 / t2\nt5 = n0 * t3\nt6 = n0 * t4\nt7 = t5 + t6\nt8 = t7 - t1\nt9 = t8 / t7\nanswer = t9 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "1.6899999999999964" - ], - "split": "test" - }, - { - "Input": "a trader cheats both his supplier and customer by using faulty weights . when he buys from the supplier , he takes 30 % more than the indicated weight . when he sells to his customer , he gives the customer a weight such that 40 % of that is added to the weight , the weight claimed by the trader is obtained . if he charges the cost price of the weight that he claims , find his profit percentage .", - "Output Program": [ - "n0 = 30.0\nn1 = 40.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = t1 / 100.0\nt3 = t0 * t2\nanswer = t3 - 100.0\nprint(answer)" - ], - "Output Answer": [ - "82" - ], - "split": "test" - }, - { - "Input": "bhanu spends 30 % of his income on petrol on scooter 12 % of the remaining on house rent and the balance on food . if he spends rs . 300 on petrol then what is the expenditure on house rent ?", - "Output Program": [ - "n0 = 30.0\nn1 = 12.0\nn2 = 300.0\nt0 = n1 / 100.0\nt1 = n0 / 100.0\nt2 = n2 / t1\nt3 = t2 - n2\nanswer = t0 * t3\nprint(answer)" - ], - "Output Answer": [ - "84" - ], - "split": "test" - }, - { - "Input": "from january 1 , 2015 , to january 1 , 2017 , the number of people enrolled in health maintenance organizations increased by 13 percent . the enrollment on january 1 , 2017 , was 45 million . how many million people , to the nearest million , were enrolled in health maintenance organizations on january 1 , 2015 ?", - "Output Program": [ - "n0 = 1.0\nn1 = 2015.0\nn2 = 1.0\nn3 = 2017.0\nn4 = 13.0\nn5 = 1.0\nn6 = 2017.0\nn7 = 45.0\nn8 = 1.0\nn9 = 2015.0\nt0 = n4 + 100.0\nt1 = 100.0 / t0\nanswer = n7 * t1\nprint(answer)" - ], - "Output Answer": [ - "39.823008849557525" - ], - "split": "test" - }, - { - "Input": "the price of a t . v . set worth rs . 70000 is to be paid in 20 installments of rs . 1000 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ?", - "Output Program": [ - "n0 = 70000.0\nn1 = 20.0\nn2 = 1000.0\nn3 = 6.0\n\nanswer = n0 - n2\nprint(answer)" - ], - "Output Answer": [ - "69000" - ], - "split": "test" - }, - { - "Input": "if the sample interest on a sum of money 10 % per annum for 2 years is $ 1200 , find the compound interest on the same sum for the same period at the same rate ?", - "Output Program": [ - "n0 = 10.0\nn1 = 2.0\nn2 = 1200.0\nt0 = n2 * 100.0\nt1 = n0 * n1\nt2 = t0 / t1\nt3 = n0 * t2\nt4 = t3 / 100.0\nt5 = t2 + t4\nt6 = n0 * t5\nt7 = t6 / 100.0\nt8 = t5 + t7\nanswer = t8 - t2\nprint(answer)" - ], - "Output Answer": [ - "1260" - ], - "split": "test" - }, - { - "Input": "if 35 % of a number is 12 less than 50 % of that number , then the number is ?", - "Output Program": [ - "n0 = 35.0\nn1 = 12.0\nn2 = 50.0\nt0 = n2 - n0\nt1 = t0 / 100.0\nanswer = n1 / t1\nprint(answer)" - ], - "Output Answer": [ - "80" - ], - "split": "test" - }, - { - "Input": "rs 50000 is divided into two parts one part is given to a person with 10 % interest and another part is given to a person with 20 % interest . at the end of first year he gets profit 8000 find money given by 10 % ?", - "Output Program": [ - "n0 = 50000.0\nn1 = 10.0\nn2 = 20.0\nn3 = 8000.0\nn4 = 10.0\nt0 = n1 / 100.0\nt1 = n0 * n2\nt2 = t1 / 100.0\nt3 = t2 - n3\nanswer = t3 / t0\nprint(answer)" - ], - "Output Answer": [ - "20000" - ], - "split": "test" - }, - { - "Input": "in a certain company 20 % of the men and 40 % of the women attended the annual company picnic . if 40 % of all the employees are men . what % of all the employee went to the picnic ?", - "Output Program": [ - "n0 = 20.0\nn1 = 40.0\nn2 = 40.0\nt0 = n2 / 100.0\nt1 = n0 / 100.0\nt2 = n1 / 100.0\nt3 = 100.0 - n2\nt4 = t3 / 100.0\nt5 = t0 * t1\nt6 = t4 * t2\nt7 = t5 + t6\nanswer = t7 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "32" - ], - "split": "test" - }, - { - "Input": "40 is what percent of 160 ?", - "Output Program": [ - "n0 = 40.0\nn1 = 160.0\nt0 = n0 / n1\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "test" - }, - { - "Input": "the sale price sarees listed for rs . 280 after successive discount is 12 % and 8 % is ?", - "Output Program": [ - "n0 = 280.0\nn1 = 12.0\nn2 = 8.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 - t1\nt3 = n2 * t2\nt4 = t3 / 100.0\nanswer = t2 - t4\nprint(answer)" - ], - "Output Answer": [ - "226.68800000000002" - ], - "split": "test" - }, - { - "Input": "a sum was put at simple interest at certain rate for 3 years . had it been put at 1 % higher rate it would have fetched rs . 66 more . the sum is : a . rs . 2,400 b . rs . 2,100 c . rs . 2,200 d . rs . 2,480", - "Output Program": [ - "n0 = 3.0\nn1 = 1.0\nn2 = 66.0\nn3 = 2400.0\nn4 = 2100.0\nn5 = 2200.0\nn6 = 2480.0\nt0 = n2 / n0\nanswer = t0 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "2200" - ], - "split": "test" - }, - { - "Input": "at what rate percent per annum will a sum of money double in 9 years .", - "Output Program": [ - "n0 = 9.0\n\nanswer = 100.0 / n0\nprint(answer)" - ], - "Output Answer": [ - "11.11111111111111" - ], - "split": "test" - }, - { - "Input": "the present worth of a certain bill due sometime hence is rs . 1296 and the true discount is rs . 72 . what is the banker ' s discount ?", - "Output Program": [ - "n0 = 1296.0\nn1 = 72.0\nt0 = n1**min(2.0, 5)\nt1 = t0 / n0\nanswer = n1 + t1\nprint(answer)" - ], - "Output Answer": [ - "76" - ], - "split": "test" - }, - { - "Input": "find compound interest on rs . 7500 at 4 % per year for 2 years , compounded annually .", - "Output Program": [ - "n0 = 7500.0\nn1 = 4.0\nn2 = 2.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nt2 = n0 + t1\nt3 = n1 * t2\nt4 = t3 / 100.0\nt5 = t2 + t4\nanswer = t5 - n0\nprint(answer)" - ], - "Output Answer": [ - "612" - ], - "split": "test" - }, - { - "Input": "in an election only two candidates contested . a candidate secured 70 % of the valid votes and won by a majority of 178 votes . find the total number of valid votes ?", - "Output Program": [ - "n0 = 70.0\nn1 = 178.0\nt0 = 100.0 - n0\nt1 = n0 - t0\nt2 = t1 / 100.0\nanswer = n1 / t2\nprint(answer)" - ], - "Output Answer": [ - "445" - ], - "split": "test" - }, - { - "Input": "the difference between compound interest and simple interest on a certain amount of money at 5 % per annum for 2 years is 19 . find the sum :", - "Output Program": [ - "n0 = 5.0\nn1 = 2.0\nn2 = 19.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = n1 * t0\nt3 = t2 + 1.0\nt4 = t1**min(n1, 5)\nt5 = t4 - t3\nanswer = n2 / t5\nprint(answer)" - ], - "Output Answer": [ - "7600.000000000162" - ], - "split": "test" - }, - { - "Input": "machine a produces 100 parts twice as fast as machine b does . machine b produces 100 parts in 60 minutes . if each machine produces parts at a constant rate , how many parts does machine a produce in 6 minutes ?", - "Output Program": [ - "n0 = 100.0\nn1 = 100.0\nn2 = 60.0\nn3 = 6.0\nt0 = n0 / n2\nt1 = t0 * 2.0\nanswer = n3 * t1\nprint(answer)" - ], - "Output Answer": [ - "20" - ], - "split": "test" - }, - { - "Input": "the ratio of the cost price and the selling price is 4 : 5 . the profit percent is ?", - "Output Program": [ - "n0 = 4.0\nn1 = 5.0\nt0 = n1 / n0\nt1 = t0 - 1.0\nanswer = t1 * 100.0\nprint(answer)" - ], - "Output Answer": [ - "25" - ], - "split": "test" - }, - { - "Input": "if 45 % of a class averages 100 % on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages 65 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) .", - "Output Program": [ - "n0 = 45.0\nn1 = 100.0\nn2 = 50.0\nn3 = 78.0\nn4 = 65.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n3\nt3 = t1 + t2\nt4 = 100.0 - t0\nt5 = n4 * t4\nt6 = t3 + t5\nanswer = t6 / 100.0\nprint(answer)" - ], - "Output Answer": [ - "87.25" - ], - "split": "test" - }, - { - "Input": "of the votes cast on a certain proposal , 62 more were in favor of the proposal than were against it . if the number of votes against the proposal was 40 percent of the total vote , what was the total number of votes cast ? ( each vote cast was either in favor of the proposal or against it . )", - "Output Program": [ - "n0 = 62.0\nn1 = 40.0\nt0 = n1 / 100.0\nt1 = 1.0 - t0\nt2 = t1 - t0\nanswer = n0 / t2\nprint(answer)" - ], - "Output Answer": [ - "310.00000000000006" - ], - "split": "test" - } - ], - "Metadata": [ - { - "Answer": 400, - "Options": "a ) rs . 400 , b ) rs . 300 , c ) rs . 500 , d ) rs . 350 , e ) none of these", - "Correct": "a", - "Explanation": "\"explanation : t = 3 years r = 10 % td = ( bg \u00d7 100 ) / tr = ( 36 \u00d7 100 ) / ( 3 \u00d7 10 ) = 12 \u00d7 10 = rs . 120 td = ( pw \u00d7 tr ) / 100 \u21d2 120 = ( pw \u00d7 3 \u00d7 10 ) / 100 \u21d2 1200 = pw \u00d7 3 pw = 1200 / 3 = rs . 400 answer : option a\"" - }, - { - "Answer": 240, - "Options": "a ) 5 % , b ) 240 % , c ) 50 % , d ) 2 % , e ) 500 %", - "Correct": "b", - "Explanation": "\"50 * x = 120 - - > x = 2.4 - - > 2.4 expressed as percent is 240 % . answer : b .\"" - }, - { - "Answer": 122.00000000000004, - "Options": "a ) 122 , b ) 150 , c ) 100 , d ) 80 , e ) 50", - "Correct": "a", - "Explanation": "\"say there are a gallons of fuel a in the tank , then there would be 218 - a gallons of fuel b . the amount of ethanol in a gallons of fuel a is 0.12 a ; the amount of ethanol in 218 - a gallons of fuel b is 0.16 ( 218 - a ) ; since the total amount of ethanol is 30 gallons then 0.12 a + 0.16 ( 218 - a ) = 30 - - > a = 122 . answer : a .\"" - }, - { - "Answer": 6.25, - "Options": "a ) 93.5 , b ) 90 , c ) 6.75 , d ) 6.25 , e ) 2", - "Correct": "d", - "Explanation": "\"usually we can solve every question of this type by choosing appropriate value of the variable and deriving the value of other related variables . let , p = 400 then j = ( 75 / 100 ) * 400 = 300 also j = ( 80 / 100 ) * t i . e . t = 300 * 100 / 80 = 375 and t = [ 1 - ( q / 100 ) ] * p i . e . 100 - q = 100 * t / p = 100 * 375 / 400 = 93.75 i . e . q = 6.25 answer : option d\"" - }, - { - "Answer": 33, - "Options": "a ) 33 , b ) 87 , c ) 99 , d ) 367 , e ) 72", - "Correct": "a", - "Explanation": "answer : a" - }, - { - "Answer": 50, - "Options": "a ) rs . 40 , b ) rs . 50 , c ) rs . 49 , d ) rs . 59 , e ) none of these", - "Correct": "b", - "Explanation": "\"s . p 1 - c . p = c . p \u2013 s . p 2 57 - c . p = c . p - 43 2 c . p = 57 + 43 ; c . p = 100 / 2 = 50 answer : b\"" - }, - { - "Answer": 150, - "Options": "a ) 150 % , b ) 105 % , c ) 120 % , d ) 124.2 % , e ) 138 %", - "Correct": "a", - "Explanation": "\"the profit 0 f 2009 interms of 2008 = 0.8 * 15 / 8 * 100 = 150 % a\"" - }, - { - "Answer": 4.166666666666666, - "Options": "a ) 4.07 % , b ) 4 % , c ) 4.7 % , d ) 4.17 % , e ) 4.27 %", - "Correct": "d", - "Explanation": "\"sol . sp = rs 100 : then cp = rs 96 : profit = rs 4 . profit = { ( 4 / 96 ) * 100 } % = 4.17 % answer is d .\"" - }, - { - "Answer": 450.00000000000006, - "Options": "a ) 228 , b ) 278 , c ) 289 , d ) 500 , e ) 450", - "Correct": "e", - "Explanation": "\"p - 306 = ( p * 4 * 8 ) / 100 p = 450 answer : e\"" - }, - { - "Answer": 32.49999999999999, - "Options": "a ) 32.5 % , b ) 34 % , c ) 35 % , d ) 36 % , e ) 37.5 %", - "Correct": "a", - "Explanation": "\"say morks income is - 100 so tax paid will be 40 say mindy ' s income is 3 * 100 = 300 so tax paid is 30 % * 300 = 90 total tax paid = 40 + 90 = 130 . combined tax % will be 130 / 100 + 300 = 32.5 % answer : a\"" - }, - { - "Answer": 30, - "Options": "a ) 16.67 , b ) 30 , c ) 50 , d ) 60.33 , e ) 70", - "Correct": "b", - "Explanation": "\"let x = ounces of 60 % salt solution to be added . 2 * 30 + . 6 x = . 4 ( 30 + x ) x = 30 answer b\"" - }, - { - "Answer": 26, - "Options": "a ) 17.5 % , b ) 26 % , c ) 30 % , d ) 35 % , e ) 38 %", - "Correct": "b", - "Explanation": "\"suppose enrollment in 1991 was 100 then enrollment in 1992 will be 120 and enrollment in 1993 will be 120 * 1.05 = 126 increase in 1993 from 1991 = 126 - 100 = 26 answer : b\"" - }, - { - "Answer": 22.400000000000002, - "Options": "a ) $ 10.00 , b ) $ 11.20 , c ) $ 22.40 , d ) $ 16.00 , e ) $ 18.00", - "Correct": "c", - "Explanation": "\"for retail price = $ 40 first maximum discounted price = 40 - 30 % of 40 = 40 - 12 = 28 price after additional discount of 20 % = 28 - 20 % of 28 = 28 - 5.6 = 22.4 answer : option c\"" - }, - { - "Answer": 5714.285714285715, - "Options": "a ) $ 5825.16 , b ) $ 5725.26 , c ) $ 5714.28 , d ) $ 5912.52 , e ) $ 5614.46", - "Correct": "c", - "Explanation": "\"let the total amount be x then , ( 100 - 30 ) % of x = 3000 + 1000 70 % of x = 4000 70 x / 100 = 4000 x = $ 40000 / 7 x = $ 5714.28 answer is c\"" - }, - { - "Answer": 43.2, - "Options": "a ) 43 \u00b0 , b ) 10 \u00b0 , c ) 18 \u00b0 , d ) 36 \u00b0 , e ) 52 \u00b0", - "Correct": "a", - "Explanation": "\"here all percentage when summed we need to get 100 % . as per data 12 + 24 + 15 + 29 + 8 = 88 % . so remaining 12 % is the balance for the astrophysics . since this is a circle all percentage must be equal to 360 degrees . 100 % - - - - 360 degrees then 12 % will be 43 degrees . . imo option a .\"" - }, - { - "Answer": 12100.000000000002, - "Options": "a ) 12100 , b ) 15240 , c ) 12456 , d ) 11452 , e ) 10002", - "Correct": "a", - "Explanation": "\"the required population is = 10000 ( 1 + 10 / 100 ) ^ 2 = 10000 * 11 / 10 * 11 / 10 = 12100 answer is a\"" - }, - { - "Answer": 55.25, - "Options": "a ) 5 % , b ) 18 % , c ) 33 % , d ) 35 % , e ) 55.25 %", - "Correct": "e", - "Explanation": "\"profit in 1995 - 100 profit in 1996 - 115 % increae profit in 1997 in comparison to 1995 = 15 + 115 * 35 % = 55.25 correct option : e\"" - }, - { - "Answer": 86400, - "Options": "a ) 70000 , b ) 60000 , c ) 86400 , d ) 90000 , e ) 50000", - "Correct": "c", - "Explanation": "\"a : b : c = 12000 : 16000 : 20000 = 3 : 4 : 5 let total profit = p then p \u00e3 \u2014 5 / 12 = 36000 p = ( 36000 \u00e3 \u2014 12 ) / 5 = 86400 answer is c .\"" - }, - { - "Answer": 2.5072674418604652, - "Options": "a ) $ 1.50 , b ) $ 1.88 , c ) $ 2.25 , d ) $ 2.50 , e ) $ 3.25", - "Correct": "d", - "Explanation": "7 regular days - - > sales = 7 * 32 * x = 224 x ; 3 hot days - - > sales = 3 * 32 * ( 1.25 x ) = 120 x ; total sales = 224 x + 120 x = 344 x . total cost = 10 * 32 * 0.75 = 240 . profit = 344 x - 240 = 450 - - > x = 2 . 1.25 x = ~ 2.50 . answer : d ." - }, - { - "Answer": 11680, - "Options": "a ) 9680 , b ) 2277 , c ) 11680 , d ) 12068 , e ) 1212", - "Correct": "c", - "Explanation": "\"( 8000 * 3 * 2 ) / 100 = 480 11200 - - - - - - - - 11680 answer : c\"" - }, - { - "Answer": 17, - "Options": "a ) rs . 15 , b ) rs . 16 , c ) rs . 17 , d ) rs . 18 , e ) rs . 19", - "Correct": "c", - "Explanation": "let the cost price for the manufacturer be rs . x . then , 125 % of 120 % of 118 % of x = 30.09 . 125 / 100 * 120 / 100 * 118 / 100 * x = 3009 / 100 177 / 100 x = 3009 / 100 = > x = 17 answer : c" - }, - { - "Answer": 48, - "Options": "a ) 52 sec , b ) 48 sec , c ) 60 sec , d ) 25 sec , e ) 39 sec", - "Correct": "b", - "Explanation": "speed = 12 km / hr = 12 * 5 / 18 = 10 / 3 m / sec distance = 40 * 4 = 160 m time taken = 160 * 3 / 10 = 48 sec answer is b" - }, - { - "Answer": 34, - "Options": "a ) 72 % , b ) 42 % , c ) 34 % , d ) 12 % , e ) 22 %", - "Correct": "c", - "Explanation": "explanation : suppose he has 100 items . let c . p . of each item be re . 1 . total cost = rs . 100 . number of items left after theft = 60 . s . p . of each item = rs . 1.10 total sale = 1.10 * 60 = rs . 66 hence , loss % = 34 / 100 * 100 = 34 % answer : c" - }, - { - "Answer": 1280, - "Options": "a ) 288 , b ) 278 , c ) 800 , d ) 267 , e ) 1280", - "Correct": "e", - "Explanation": "\"( 25 / 100 ) * x \u00e2 \u20ac \u201c ( 20 / 100 ) * 650 = 190 1 / 4 x = 320 x = 1280 answer : e\"" - }, - { - "Answer": 600, - "Options": "a ) rs . 600 , b ) rs . 890 , c ) rs . 895 , d ) rs . 900 , e ) none", - "Correct": "a", - "Explanation": "\"let p = principal a - amount we have a = p ( 1 + r / 100 ) 3 and ci = a - p atq 993 = p ( 1 + r / 100 ) 3 - p ? p = 3000 / - now si @ 10 % on 3000 / - for 2 yrs = ( 3000 x 10 x 2 ) / 100 = 600 / - answer : a .\"" - }, - { - "Answer": 50, - "Options": "a ) 60 % , b ) 58 % , c ) 55 % , d ) 40 % , e ) 50 %", - "Correct": "e", - "Explanation": "p = ( p * 2 * r ) / 100 r = 50 % answer : e" - }, - { - "Answer": 65, - "Options": "a ) s . 40 , b ) s . 65 , c ) s . 49 , d ) s . 41 , e ) s . 42", - "Correct": "b", - "Explanation": "\"1300 * ( 25 / 100 ) = 325 - - - - 5 ? - - - - 1 = > rs . 65 answer : b\"" - }, - { - "Answer": 4800, - "Options": "a ) s . 4000 , b ) s . 5000 , c ) s . 4500 , d ) s . 4800 , e ) s . 5800", - "Correct": "d", - "Explanation": "\"ci = 5292 , r = 5 , n = 2 ci = p [ 1 + r / 100 ] ^ 2 = p [ 1 + 5 / 100 ] ^ 2 5292 = p [ 21 / 20 ] ^ 2 5292 [ 20 / 21 ] ^ 2 4800 answer : d\"" - }, - { - "Answer": 156, - "Options": "a ) 156 , b ) 120 , c ) 130 , d ) 160 , e ) 210", - "Correct": "a", - "Explanation": "\"125 % of 120 % of a = 234 125 / 100 * 120 / 100 * a = 234 a = 234 * 2 / 3 = 156 . answer a\"" - }, - { - "Answer": 12, - "Options": "a ) 16 % , b ) 12 % , c ) 74 % , d ) 10 % , e ) 45 %", - "Correct": "b", - "Explanation": "\"let the rate be r % p . a . then , ( 5000 * r * 2 ) / 100 + ( 3000 * r * 4 ) / 100 = 2640 100 r + 120 r = 2640 r = 12 % answer : b\"" - }, - { - "Answer": 400.00000000000006, - "Options": "a ) 70 , b ) 400 , c ) 150 , d ) 35 , e ) 350", - "Correct": "b", - "Explanation": "\"since 30 % of the boys from school a study science , then 70 % of the boys from school a do not study science and since 20 % of the total number of boys are from school a , then 0.2 * 0.7 = 0.14 , or 14 % of the boys in the camp are from school a and do not study science . we are told that this number equals to 56 , so 0.14 * { total } = 56 - - > { total } = 400 . answer : b .\"" - }, - { - "Answer": 21.6, - "Options": "a ) 23.75 , b ) 21.6 , c ) 20 , d ) 19.2 , e ) none of these", - "Correct": "b", - "Explanation": "\"c . p . of mixture = 80 \u00d7 15 + 20 \u00d7 20 / 80 + 20 = 16 \u2234 s . p . = ( 100 + 35 ) / 100 \u00d7 16 = 21.6 answer b\"" - }, - { - "Answer": 3.0000000000000044, - "Options": "a ) 5 , b ) 4 , c ) 6 , d ) 8 , e ) 3", - "Correct": "e", - "Explanation": "\"machine b : takes x hours to produce 330 sprockets machine a : takes ( x + 10 ) hours to produce 330 sprockets machine b : in 1 hour , b makes 330 / x sprockets machine a : in 1 hour , a makes 330 / ( x + 10 ) sprockets equating : 1.1 ( 330 / ( x + 10 ) ) = 330 / x 484 / ( x + 10 ) = 330 / x 363 x = 330 x + 3300 33 x = 3300 x = 100 a makes 330 / ( 110 ) = 3 sprockets per hour answer : e\"" - }, - { - "Answer": 550, - "Options": "a ) $ 496.30 , b ) $ 512.40 , c ) $ 550 , d ) $ 574.90 , e ) $ 588.20", - "Correct": "c", - "Explanation": "\"cost price = 660 / 120 * 100 = 550 answer : c\"" - }, - { - "Answer": 66.66666666666666, - "Options": "a ) 28 % , b ) 66.7 % , c ) 55 % , d ) 28 % , e ) 55 %", - "Correct": "b", - "Explanation": "\"600 - - - 400 100 - - - ? = > 66.7 % answer : b\"" - }, - { - "Answer": 50, - "Options": "a ) 35 % , b ) 40 % , c ) 45 % , d ) 50 % , e ) 55 %", - "Correct": "d", - "Explanation": "80 / 160 \u00d7 100 = 50 % answer : d" - }, - { - "Answer": 168, - "Options": "a ) $ 198 , b ) $ 216 , c ) $ 220 , d ) $ 230 , e ) $ 168", - "Correct": "e", - "Explanation": "\"wholesale cost of video recorder = 200 $ video recorder was priced at 20 percent above 200 = 240 $ % discount given by store employee = 30 emlpoyee paid = . 7 * 240 = 168 $ answer e\"" - }, - { - "Answer": 642.8571428571428, - "Options": "a ) 263 , b ) 500 , c ) 367 , d ) 642.9 , e ) 339", - "Correct": "d", - "Explanation": "\"90 = ( p * 4 * 7 / 2 ) / 100 p = 642.9 answer : d\"" - }, - { - "Answer": 4800, - "Options": "a ) rs . 4800 , b ) rs . 2400 , c ) rs . 3600 , d ) rs . 5600 , e ) none of these", - "Correct": "a", - "Explanation": "explanation : ratio of capitals of a and b = ratio of their investments = 5000 \u00d7 8 : 6000 \u00d7 5 = 40000 : 30000 = 4 : 3 . : a ' s share = rs . [ ( 4 / 7 ) \u00d7 8400 ] = rs . 4800 answer : option a" - }, - { - "Answer": 44, - "Options": "a ) 43 , b ) 36 , c ) 28 , d ) 129 , e ) 44", - "Correct": "e", - "Explanation": "\"number of students absent on a particular day = 12 % of 50 i . e . , 12 / 100 \u00d7 50 = 6 therefore , the number of students present = 50 - 6 = 44 students . answer : e\"" - }, - { - "Answer": 120, - "Options": "a ) a ) 100 , b ) b ) 120 , c ) c ) 250 , d ) d ) 200 , e ) e ) 160", - "Correct": "b", - "Explanation": "\"then , 10 % of x = 12 ( 10 / 100 ) x = 12 x = ( 12 * 100 * ) / 10 = 120 answer is b\"" - }, - { - "Answer": 749.9998125000468, - "Options": "a ) 656 apples , b ) 700 apples , c ) 750 apples , d ) 780 apples , e ) 800 apples", - "Correct": "c", - "Explanation": "\"a fruit seller had some apples . he sells 60 % apples and still has 300 apples . originally , he had : a . 656 apples b . 700 apples c . 750 apples d . 780 apples 800 apples answer : option d explanation : suppose originally he had x apples . then , ( 100 - 60 ) % of x = 300 . 40 / 100 x x = 300 100 x = ( 300 x 1000 ) / 40 = 750 . answer : c\"" - }, - { - "Answer": 5499.999999999999, - "Options": "a ) 5000 , b ) 5500 , c ) 6000 , d ) 6500 , e ) 7000", - "Correct": "b", - "Explanation": "\"35 % - - - - - - - - - - - l 65 % - - - - - - - - - - - w - - - - - - - - - - - - - - - - - - 30 % = 1650 10 % = 550 100 % of the votes = 5500 answer : b\"" - }, - { - "Answer": 15, - "Options": "a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 30 %", - "Correct": "b", - "Explanation": "\"rate of discount = 12 / 80 * 100 = 15 % answer is b\"" - }, - { - "Answer": 62.5, - "Options": "a ) 72.5 , b ) 55.5 , c ) 62.5 , d ) 82.5 , e ) 60.5", - "Correct": "c", - "Explanation": "\"c $ 62.50 cp = 47.50 sp = 47.50 * ( 125 / 100 ) = 59.375 mp * ( 95 / 100 ) = 59.375 mp = 62.5\"" - }, - { - "Answer": 24.285714285714285, - "Options": "a ) 22.15 % , b ) 23.5 % , c ) 24.3 % , d ) 25 % , e ) 29.6 %", - "Correct": "c", - "Explanation": "required percentage = ( 20 % of 10 + 35 % of 4 ) / 10 + 4 * 100 = 3.4 / 14 * 100 = 24.3 % answer is c" - }, - { - "Answer": 50, - "Options": "a ) 40 % , b ) 45 % , c ) 50 % , d ) 55 % , e ) 60 %", - "Correct": "c", - "Explanation": "you can also plug in numbers . for example , bob and alice work at a donut factory and make 10 donuts which is the job ( i picked this as a smart number ) . john on his own works 10 / 2 = 5 donuts per hour . john and david work 10 / 1 = 10 donuts per hour so david works 5 donuts / hour to find out the percentage , david works 5 donuts / hr x 1 hours = 5 donuts per hour . therefore 5 donuts / 10 donuts = 1 / 2 = 50 % answer : c" - }, - { - "Answer": 16000, - "Options": "a ) 20000 , b ) 16000 , c ) 18000 , d ) 17000 , e ) 15000", - "Correct": "b", - "Explanation": "\"let the total worth of the stock be rs . x . the sp of 20 % of the stock = 1 / 10 * x * 6 / 5 = 6 x / 50 the sp of 80 % of the stock = 9 / 10 * x * 0.95 = 171 x / 200 total sp = 24 x / 200 + 171 / 200 = 49 x / 50 overall loss = x - 195 / 20050 = 5 x / 200 5 x / 200 = 400 = > x = 16000 answer : b\"" - }, - { - "Answer": 200, - "Options": "a ) s . 486 , b ) s . 455 , c ) s . 220 , d ) s . 480 , e ) s . 200", - "Correct": "e", - "Explanation": "\"sp = 250 cp = ( sp ) * [ 100 / ( 100 + p ) ] = 250 * [ 100 / ( 100 + 25 ) ] = 250 * [ 100 / 125 ] = rs . 200 answer : e\"" - }, - { - "Answer": 744, - "Options": "a ) 456 , b ) 744 , c ) 912 , d ) 1200 , e ) 1400", - "Correct": "b", - "Explanation": "w = 62 % l = 38 % 62 % - 38 % = 24 % 24 % - - - - - - - - 288 62 % - - - - - - - - ? = > 744 answer : b" - }, - { - "Answer": 40, - "Options": "a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 40 %", - "Correct": "e", - "Explanation": "\"price of a coat in a certain store = $ 500 the price of the coat is to be reduced by $ 200 % change = ( final value - initial value ) * 100 / initial value % reduction = ( reduction in price ) * 100 / initial value i . e . % reduction = ( 200 ) * 100 / 500 = 40 % answer : option e\"" - }, - { - "Answer": 17.5, - "Options": "a ) 32.5 % , b ) 17.5 % , c ) 20 % , d ) 36 % , e ) 37.5 %", - "Correct": "b", - "Explanation": "\"say morks income is - 100 so tax paid will be 10 say mindys income is 3 * 100 = 300 so tax paid is 20 % * 300 = 60 total tax paid = 10 + 60 = 70 . combined tax % will be 70 / 100 + 300 = 15.5 %\"" - }, - { - "Answer": 3150, - "Options": "a ) $ 3500 , b ) $ 5000 , c ) $ 3150 , d ) $ 7000 , e ) $ 10000", - "Correct": "c", - "Explanation": "\"saving = ( 40 - 33 ) % of 45000 = 3150 . answer : c\"" - }, - { - "Answer": 1500, - "Options": "a ) 550 , b ) 1500 , c ) 250 , d ) 1300 , e ) 400", - "Correct": "b", - "Explanation": "by investing $ 136 , income obtained = $ 30 . by investing $ 6800 , income obtained = $ [ ( 30 / 136 ) * 6800 ] = $ 1500 . answer b ." - }, - { - "Answer": 21.7, - "Options": "a ) a ) 19.7 , b ) b ) 20 , c ) c ) 21.3 , d ) d ) 21.7 , e ) e ) 22", - "Correct": "d", - "Explanation": "\"total cost of the items he purchased = rs . 25 given that out of this rs . 25 , 30 paise is given as tax = > total tax incurred = 30 paise = rs . 30 / 100 let the cost of the tax free items = x given that tax rate = 10 % \u2234 ( 25 \u2212 30 / 100 \u2212 x ) 10 / 100 = 30 / 100 \u21d2 10 ( 25 \u2212 0.3 \u2212 x ) = 30 \u21d2 ( 25 \u2212 0.3 \u2212 x ) = 3 \u21d2 x = 25 \u2212 0.3 \u2212 3 = 21.7 d\"" - }, - { - "Answer": 161.45794392523385, - "Options": "a ) 162 , b ) 158 , c ) 159 , d ) 130 , e ) 160", - "Correct": "a", - "Explanation": "( x + . 07 x ) = 2468 1.07 x = 2468 x = 2306 reduce = 2468 - 2306 = 162 answer : a" - }, - { - "Answer": 10123.200000000012, - "Options": "a ) rs . 10100 , b ) rs . 10110 , c ) rs . 10123.20 , d ) rs . 10135.50 , e ) rs . 10167.20", - "Correct": "c", - "Explanation": "amount = rs . 25000 x 1 + 12 3 100 = rs . 25000 x 28 x 28 x 28 25 25 25 = rs . 35123.20 c . i . = rs . ( 35123.20 - 25000 ) = rs . 10123.20 c" - }, - { - "Answer": 8.16, - "Options": "a ) 8.04 % , b ) 8.14 % , c ) 8.23 % , d ) 8.16 % , e ) 8.5 %", - "Correct": "d", - "Explanation": "\"100 cm is read as 102 cm . a 1 = ( 100 x 100 ) cm 2 and a 2 ( 102 x 102 ) cm 2 . ( a 2 - a 1 ) = [ ( 104 ) 2 - ( 100 ) 2 ] = ( 104 + 100 ) x ( 104 - 100 ) = 816 cm 2 . percentage error = 8.16 d\"" - }, - { - "Answer": 1055, - "Options": "a ) 1000 , b ) 1055 , c ) 1065 , d ) 1075 , e ) 1080", - "Correct": "b", - "Explanation": "\"cost of 8 kg grapes = 70 \u00d7 8 = 560 . cost of 9 kg of mangoes = 55 \u00d7 9 = 490 . total cost he has to pay = 560 + 490 = 1055 . b )\"" - }, - { - "Answer": 50, - "Options": "a ) rs . 56 , b ) rs . 55 , c ) rs . 50 , d ) rs . 90 , e ) rs . 75", - "Correct": "c", - "Explanation": "\"explanation : for an income of rs . 10 , investment = rs . 100 . for an income of rs 5 , investment = rs . 100 / 10 x 5 = rs 50 market value of rs . 100 stock = rs . 50 answer is c\"" - }, - { - "Answer": 30, - "Options": "a ) 18 % , b ) 31 % , c ) 30 % , d ) 45 % , e ) 12 %", - "Correct": "c", - "Explanation": "\"1900 - - - - 570 100 - - - - ? = > 30 % answer : c\"" - }, - { - "Answer": 8, - "Options": "a ) 8 % , b ) 10 % , c ) 21 % , d ) 15 % , e ) 17 %", - "Correct": "a", - "Explanation": "\"let the price be 100 . the price becomes 120 after a 20 % markup . now a discount of 10 % on 120 . profit = 108 - 100 8 % answer a\"" - }, - { - "Answer": 18.461538461538467, - "Options": "a ) 18.45 % , b ) 18.46 % , c ) 18.47 % , d ) 18.48 % , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : let the cost price = rs 100 then , marked price = rs 130 required gain = 6 % , so selling price = rs 106 discount = 130 - 106 = 24 discount % = ( 24 / 130 ) * 100 = 18.46 % option b\"" - }, - { - "Answer": 790, - "Options": "a ) 343 , b ) 677 , c ) 790 , d ) 867 , e ) 932", - "Correct": "c", - "Explanation": "\"if mike had scored 25 marks more , he could have scored 30 % therefore , mike required 212 + 25 = 237 marks let the maximum marks be m . then 30 % of m = 237 ( 30 / 100 ) \u00d7 m = 237 m = ( 237 \u00d7 100 ) / 30 m = 23700 / 30 m = 790 answer : c\"" - }, - { - "Answer": 27.5, - "Options": "a ) 20 % , b ) 27.5 % , c ) 10 % , d ) 80 % , e ) 90 %", - "Correct": "b", - "Explanation": "\"sp 2 = 2 / 3 sp 1 cp = 100 sp 2 = 85 2 / 3 sp 1 = 85 sp 1 = 127.5 100 - - - 27.5 = > 27.5 % answer : b\"" - }, - { - "Answer": 8.00000000000001, - "Options": "a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", - "Correct": "d", - "Explanation": "\"p makes x sprockets per hour . then q makes 1.1 x sprockets per hour . 880 / x = 880 / 1.1 x + 10 1.1 ( 880 ) = 880 + 11 x 11 x = 88 x = 8 the answer is d .\"" - }, - { - "Answer": 540, - "Options": "a ) a ) 540 , b ) b ) 400 , c ) c ) 700 , d ) d ) 650 , e ) e ) 840", - "Correct": "a", - "Explanation": "let the number of students appeared be x then , 65 % of x = 351 65 x / 100 = 351 x = 351 * 100 / 65 = 540 answer is a" - }, - { - "Answer": 50, - "Options": "a ) 4 % , b ) 18 % , c ) 36 % , d ) 40 % , e ) 50 %", - "Correct": "e", - "Explanation": "given w = 0.6 q , q = 0.6 y , z = 0.54 y , substituting , w = 2 / 3 z - - - - > z = 1.5 w and thus z is 50 % greater than w . e is the correct answer ." - }, - { - "Answer": 32, - "Options": "a ) 27.5 % , b ) 32 % , c ) 35 % , d ) 37.5 % , e ) 40 %", - "Correct": "b", - "Explanation": "\"assume the total price = 100 x price after 20 % markup = 120 x price after 25 % further markup = 1.25 * 120 x = 150 x price after the discount = 0.88 * 150 x = 132 x hence total profit = 32 % option b\"" - }, - { - "Answer": 6200, - "Options": "a ) 8876 , b ) 2765 , c ) 6000 , d ) 6200 , e ) 1261", - "Correct": "d", - "Explanation": "\"x * 12 : 2 x * 6 : 3 x * 4 1 : 1 : 1 1 / 3 * 18600 = 6200 answer : d\"" - }, - { - "Answer": 32000, - "Options": "a ) $ 28,300 , b ) $ 30,400 , c ) $ 31,300 , d ) $ 32,500 , e ) $ 32,000", - "Correct": "e", - "Explanation": "\"let the principal amount = p simple annual interest = 9 % simple monthly interest = ( 9 / 12 ) = ( 3 / 4 ) % ( 3 / 4 ) * ( p / 100 ) = 240 = > p = ( 240 * 4 * 10 ^ 2 ) / 3 = 80 * 4 * 10 ^ 2 = 320 * 10 ^ 2 = 32000 answer e\"" - }, - { - "Answer": 108, - "Options": "a ) 81 , b ) 108 , c ) 120 , d ) 135 , e ) 160", - "Correct": "b", - "Explanation": "\"my solution : wholesale price = 81 retail price , be = x he provides 10 % discount on retail price = x - 10 x / 100 this retail price = 20 % profit on wholesale price x - 10 x / 100 = 81 + 1 / 5 ( 81 ) x = 108 ; answer : b\"" - }, - { - "Answer": 6.178000000000001, - "Options": "a ) 0.6178 , b ) 61.78 , c ) 6.178 , d ) 0.06178 , e ) 0.006178", - "Correct": "c", - "Explanation": "since , percent = 1 / 100 , what = something ( s ) , and is : = . we can write the question as s = 0.05 ( 1 / 100 ) 12,356 . the answer is 6.178 . hence , the correct answer is c ." - }, - { - "Answer": 90830.00000000001, - "Options": "a ) 84512 , b ) 78452 , c ) 65893 , d ) 90083 , e ) 74502", - "Correct": "d", - "Explanation": "winner votes = 100 - 45 = 55 polled votes = [ ( 100 * 9000 ) / 2 * 55 - 100 ] + 83 = 90083 answer is d" - }, - { - "Answer": 416, - "Options": "a ) 228 , b ) 480 , c ) 267 , d ) 416 , e ) 276", - "Correct": "d", - "Explanation": "\"sp = 800 profit = 25 % cp = ( sp ) * [ 100 / ( 100 + p ) ] = 800 * [ 100 / 125 ] = 640 loss = 25 % = 25 % of 640 = rs . 224 sp = cp - loss = 640 - 224 = rs . 416 answer : d\"" - }, - { - "Answer": 500, - "Options": "a ) 100 , b ) 200 , c ) 300 , d ) 400 , e ) 500", - "Correct": "e", - "Explanation": "e 500 let the c . p . be $ x . then , 20 % of x = 1100 20 / 100 * x = 1100 = > x = 5500 c . p . = $ 5500 , expenditure on repairs = 10 % actual price = $ ( 100 * 5500 ) / 110 = $ 5000 expenditures on repairs = ( 5500 - 5000 ) = $ 500 ." - }, - { - "Answer": 18.749999999999993, - "Options": "a ) 18.75 % loss , b ) 18.75 % profit , c ) 33.33 % loss , d ) 30.33 % loss , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : let cost price of 1 article be re . 1 . therefore , cost price of 19 articles = rs . 19 . selling price of 16 articles = rs . 19 therefore , selling price of 19 articles is : - = > 19 / 16 \u00e3 \u2014 19 = > 22.56 . therefore , profit = selling price - cost price . = > 22.56 \u00e2 \u02c6 \u2019 19 = 3.56 . hence , the percentage of profit = profit x 100 / c . p . = > 3.56 / 19 \u00e3 \u2014 100 . = > 18.75 % profit . answer : b\"" - }, - { - "Answer": 0.35000000000000003, - "Options": "a ) 0.125 % , b ) 0.35 % , c ) 0.8 % , d ) 1.25 % , e ) 2.0 %", - "Correct": "b", - "Explanation": "\"0.07 * 0.05 = 0.0035 = 0.35 % the answer is b .\"" - }, - { - "Answer": 4326.399999999994, - "Options": "a ) rs . 4326.40 , b ) rs . 4236.40 , c ) rs . 4136.40 , d ) rs . 4316.40 , e ) rs . 4136.40", - "Correct": "a", - "Explanation": "\"let the sum be rs . p p { [ 1 + 4 / 100 ] 2 - 1 } = 326.40 p ( 4 / 100 ) ( 2 + 4 / 100 ) = 326.40 [ a 2 - b 2 = ( a - b ) ( a + b ) ] p = 326.40 / ( 0.04 ) ( 2.04 ) = 4000 amount = 4000 + 326.40 = 4326.40 answer : a\"" - }, - { - "Answer": 7899.999999999999, - "Options": "a ) 7500 , b ) 7900 , c ) 2665 , d ) 2888 , e ) 2661", - "Correct": "b", - "Explanation": "\"35 % - - - - - - - - - - - l 65 % - - - - - - - - - - - w - - - - - - - - - - - - - - - - - - 30 % - - - - - - - - - - 2370 100 % - - - - - - - - - ? = > 7900 answer : b\"" - }, - { - "Answer": 4.861111111111111, - "Options": "a ) 3.5 , b ) 3.75 , c ) 4 , d ) 4.25 , e ) 4.86", - "Correct": "e", - "Explanation": "( 1000 xtx 3 / 100 ) + ( 1400 xtx 3 / 100 ) = 350 \u00e2 \u2020 \u2019 t = 4.86 answer e" - }, - { - "Answer": 1.58, - "Options": "a ) 1.58 % , b ) 1.98 % , c ) 10 % , d ) 15 % , e ) 19 %", - "Correct": "a", - "Explanation": "\"i think there is a typo in question . it should have been ` ` by weight liquid ' x ' makes up . . . . . ` ` weight of liquid x = 0.8 % of weight of a + 1.8 % of weight of b when 400 gms of a and 700 gms of b is mixed : weight of liquid x = ( 0.8 * 400 ) / 100 + ( 1.8 * 700 ) / 100 = 15.8 gms % of liquid x in resultant mixture = ( 15.8 / 1000 ) * 100 = 1.58 % a\"" - }, - { - "Answer": 4000, - "Options": "a ) rs . 3500 , b ) rs . 4000 , c ) rs . 4500 , d ) rs . 5000 , e ) none", - "Correct": "b", - "Explanation": "explanation : let salary be rs . x . then , x - 15 % of x - 30 % of 85 % of x = 2380 or x - 15 x / 100 \u2212 30 \u00d7 85 \u00d7 x / 100 \u00d7 100 = 2380 or 200 x - 30 x - 51 x = 2380 \u00d7 2002380 \u00d7 200 or 119 x = 2380 \u00d7 2002380 \u00d7 200 or x 2380 \u00d7 200 / 119 = 4000 correct option : b" - }, - { - "Answer": 250, - "Options": "a ) 228 , b ) 267 , c ) 287 , d ) 250 , e ) 811", - "Correct": "d", - "Explanation": "\"sp = 400 cp = ( sp ) * [ 100 / ( 100 + p ) ] = 400 * [ 100 / ( 100 + 60 ) ] = 400 * [ 100 / 160 ] = rs . 250 answer : d\"" - }, - { - "Answer": 222.22222222222223, - "Options": "a ) 191 , b ) 213 , c ) 221 , d ) 223 , e ) 226", - "Correct": "d", - "Explanation": "\"for this question , we ' ll need the following formula : sell price = cost + profit we ' re told that the profit on 1 item is $ 20 and that this represents 10 % of the cost : sell price = cost + $ 30 sell price = $ 300 + $ 30 thus , the sell price is $ 330 for each item . selling all 100 items gives the retailer . . . 100 ( $ 30 ) = $ 2,000 of profit if the retailer offers a 5 % discount on the sell price , then the equation changes . . . 5 % ( 330 ) = $ 16.5 discount $ 313.5 = $ 300 + $ 13.5 now , the retailer makes a profit of just $ 13.5 per item sold . to earn $ 2,000 in profit , the retailer must sell . . . . $ 13.5 ( x ) = $ 2,000 x = 2,000 / 13.5 x = 222.222222 items you ' ll notice that this is not among the answer choices . . . . 221 and 223 are . selling 221 items would get us 9 ( 221 ) = $ 1989 which is not enough money . to get back to at least $ 2,000 , we need to sell 223 items . final answer : d\"" - }, - { - "Answer": 56.25, - "Options": "a ) 31.25 , b ) 37.5 , c ) 50.0 , d ) 52.5 , e ) 56.25", - "Correct": "e", - "Explanation": "\"soln : - x * 1.25 * 1.25 = 1.5625 x so there is a net increase of 56.25 % . answer e .\"" - }, - { - "Answer": 12.545454545454545, - "Options": "a ) 22 , b ) 77 , c ) 18 , d ) 99 , e ) 12.5", - "Correct": "e", - "Explanation": "\"total cp = rs . 42000 + rs . 13000 = rs . 55000 and sp = rs . 61900 profit ( % ) = ( 61900 - 55000 ) / 55000 * 100 = 12.5 % answer : e\"" - }, - { - "Answer": 10.250000000000004, - "Options": "a ) 10.25 % , b ) 12.5 % , c ) 14.75 % , d ) 15.15 % , e ) 16.25 %", - "Correct": "a", - "Explanation": "\"1.05 * 1.05 * x = 1.1025 * x the answer is a .\"" - }, - { - "Answer": 1165, - "Options": "a ) a ) 1040 , b ) b ) 1165 , c ) c ) 1055 , d ) d ) 1065 , e ) e ) 1075", - "Correct": "b", - "Explanation": "\"cost of 8 kg grapes = 70 \u00d7 8 = 560 . cost of 11 kg of mangoes = 55 \u00d7 11 = 605 . total cost he has to pay = 560 + 605 = 1165 b\"" - }, - { - "Answer": 25, - "Options": "a ) 16 % , b ) 18 % , c ) 19 % , d ) 20 % , e ) 25 %", - "Correct": "e", - "Explanation": "\"600 - - - - 150 100 - - - - ? = > 16 2 / 3 % answer : e\"" - }, - { - "Answer": 432, - "Options": "a ) rs . 432 , b ) rs . 422 , c ) rs . 412 , d ) rs . 442 , e ) none of these", - "Correct": "a", - "Explanation": "\"explanation : f = rs . 2160 td = rs . 360 pw = f - td = 2160 - 360 = rs . 1800 true discount is the simple interest on the present value for unexpired time = > simple interest on rs . 1800 for unexpired time = rs . 360 banker ' s discount is the simple interest on the face value of the bill for unexpired time = simple interest on rs . 2160 for unexpired time = 360 / 1800 \u00d7 2160 = 15 \u00d7 2160 = rs . 432 answer : option a\"" - }, - { - "Answer": 21.951219512195124, - "Options": "a ) 5 % , b ) 22 % , c ) 13 % , d ) 21 % , e ) 19 %", - "Correct": "b", - "Explanation": "\"let s . p . = $ 100 c . p . = $ 82 profit = $ 18 profit % = 18 / 82 * 100 = 25 / 6 = 22 % approximately answer is b\"" - }, - { - "Answer": 170, - "Options": "a ) rs . 170 , b ) rs . 17 , c ) rs . 1.70 , d ) rs . 4.25 , e ) none", - "Correct": "a", - "Explanation": "\"answer \u2235 0.5 / 100 of a = 85 / 100 \u2234 a = rs . ( 85 / 0.5 ) = rs . 170 correct option : a\"" - }, - { - "Answer": 1785.9839999999995, - "Options": "a ) $ 120 , b ) $ 150 , c ) $ 1786 , d ) $ 250 , e ) $ 300", - "Correct": "c", - "Explanation": "\"a = p ( 1 + r / 100 ) ^ t = 1200 ( 1 + 20 / 100 ) ^ 5 = $ 2986 ci = $ 1786 answer is c\"" - }, - { - "Answer": 16197.120000000017, - "Options": "a ) rs 16123.20 , b ) rs 16123.30 , c ) rs 16197.12 , d ) rs 16123.50 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : ( 40000 \u00d7 ( 1 + 12 / 100 ) 3 ) = > 40000 \u00d7 28 / 25 \u00d7 28 / 25 \u00d7 28 / 25 = > 56197.12 so compound interest will be 56197.12 - 40000 = rs 16197.12 option c\"" - }, - { - "Answer": 1750, - "Options": "a ) 1000 meters , b ) 1050 meters , c ) 1200 meters , d ) 1750 meters , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : we need to get the answer in meters . so we will first of change distance from km / hour to meter / sec by multiplying it with 5 / 18 and also change 15 minutes to seconds by multiplying it with 60 . speed = 7 \u00e2 \u02c6 \u2014 5 / 18 = 35 / 18 m / sec time = 15 \u00e2 \u02c6 \u2014 60 seconds = 900 seconds distance = time \u00e2 \u02c6 \u2014 speed / distance = 35 / 18 \u00e2 \u02c6 \u2014 900 = 1750 meter option d\"" - }, - { - "Answer": 157.62500000000023, - "Options": "a ) rs . 473 , b ) rs . 374 , c ) rs . 495 , d ) rs . 157 , e ) none of the above", - "Correct": "d", - "Explanation": "\"10 % interest per annum will be 5 % interest half yearly for 3 terms ( 1 1 / 2 years ) so compound interest = 3000 [ 1 + ( 5 / 100 ) ] ^ 3 - 1000 = 1000 [ ( 21 / 20 ) ^ 3 - 1 ] = 1000 ( 9261 - 8000 ) / 8000 = 1 * 1261 / 8 = 157 answer : d\"" - }, - { - "Answer": 7008, - "Options": "a ) 1978 , b ) 2707 , c ) 7728 , d ) 7008 , e ) 7291", - "Correct": "d", - "Explanation": "\"35 : 15 = > 7 : 3 9600 * 10 / 100 = 960 9600 - 960 = 8640 8640 * 7 / 10 = 6048 + 960 = 7008 answer : d\"" - }, - { - "Answer": 6999.999999999999, - "Options": "a ) 5000 , b ) 7000 , c ) 4000 , d ) 8000 , e ) 9000", - "Correct": "b", - "Explanation": "\"let the total number of original inhabitants be x . ( 75 / 100 ) * ( 90 / 100 ) * x = 4725 ( 27 / 40 ) * x = 4725 x = 4725 * 40 / 27 = 7000 the answer is b .\"" - }, - { - "Answer": 10.658966865741546, - "Options": "a ) 4 , b ) 5 , c ) 8 , d ) 10.72 , e ) 15", - "Correct": "d", - "Explanation": "\"14 ^ 2 - 5 ^ 2 = 171 it means that the height is equal to 13.07 ~ = 13 . since the top of the ladder slips down 4 feet , then the height of the wall = 13 - 4 = 9 the bottom = sqrt ( 14 ^ 2 - 9 ^ 2 ) = sqrt ( 196 - 81 ) = 10.72 ans is d\"" - }, - { - "Answer": 40.17857142857143, - "Options": "a ) 38 , b ) 39 , c ) 40 , d ) 41 , e ) 42", - "Correct": "c", - "Explanation": "\"soln : - 12 x = 45 - - > 28 / 25 * x = 45 - - > x = 45 * 25 / 28 = 1125 / 28 = ~ 40 answer : c .\"" - }, - { - "Answer": 1376, - "Options": "a ) 1000 , b ) 1376 , c ) 1456 , d ) 1900 , e ) 1566", - "Correct": "b", - "Explanation": "\"cost of 14 kg grapes = 54 \u00d7 14 = 756 . cost of 10 kg of mangoes = 62 x 10 = 620 . total cost he has to pay = 756 + 620 = 1376 b\"" - }, - { - "Answer": 40.48896000000036, - "Options": "a ) 64.19 , b ) 64.12 , c ) 40.5 , d ) 64.1 , e ) 64.11", - "Correct": "c", - "Explanation": "\"s . i . = ( 1000 * 8 * 4 ) / 100 = rs . 320 c . i . = [ 1000 * ( 1 + 8 / 100 ) 4 - 1000 ] = rs . 360.5 difference = ( 360.5 - 320 ) = rs . 40.5 answer : c\"" - }, - { - "Answer": 20940, - "Options": "a ) 20940 , b ) 21009 , c ) 23000 , d ) 23450 , e ) 30000", - "Correct": "a", - "Explanation": "\"( 12000 * 4 * 3 ) / 100 = 1440 19500 - - - - - - - - 20940 answer : a\"" - }, - { - "Answer": 1200, - "Options": "a ) s : 1000 , b ) s : 1067 , c ) s : 1200 , d ) s : 1028 , e ) s : 1027", - "Correct": "c", - "Explanation": "\"90 % 104 % - - - - - - - - 14 % - - - - 168 100 % - - - - ? = > rs : 1200 answer : c\"" - }, - { - "Answer": 30, - "Options": "a ) 20 % , b ) 25 % , c ) 30 % , d ) 35 % , e ) 40 %", - "Correct": "c", - "Explanation": "\"the percent of the population who are employed females is 60 - 42 = 18 % the percent of employed people who are female is 18 % / 60 % = 30 % . the answer is c .\"" - }, - { - "Answer": 49.99999999999999, - "Options": "a ) 20 , b ) 30 , c ) 35 , d ) 40 , e ) 50", - "Correct": "e", - "Explanation": "\"i did n ' t understand how did we get 100 ? total = 75 books . 65 % of books that were loaned out are returned - - > 100 % - 70 % = 30 % of books that were loaned out are not returned . now , there are 60 books , thus 76 - 60 = 16 books are not returned . { loaned out } * 0.30 = 7 - - > { loaned out } = 50 . answer : e .\"" - }, - { - "Answer": 1250, - "Options": "a ) 1160 , b ) 1190 , c ) 1220 , d ) 1250 , e ) 1280", - "Correct": "d", - "Explanation": "\"let x be the minimum number of questionnaires to be mailed . 0.6 x = 750 x = 1250 the answer is d .\"" - }, - { - "Answer": 992.25, - "Options": "a ) $ 986.25 , b ) $ 988.25 , c ) $ 990.25 , d ) $ 992.25 , e ) $ 994.25", - "Correct": "d", - "Explanation": "1.05 * 1.05 * 900 = $ 992.25 the answer is d ." - }, - { - "Answer": 156.86274509803923, - "Options": "a ) 157 , b ) 213 , c ) 221 , d ) 223 , e ) 226", - "Correct": "a", - "Explanation": "for this question , we ' ll need the following formula : sell price = cost + profit we ' re told that the profit on 1 item is $ 20 and that this represents 16 % of the cost : sell price = cost + $ 20 sell price = $ 125 + $ 20 thus , the sell price is $ 145 for each item . selling all 100 items gives the retailer . . . 100 ( $ 20 ) = $ 2,000 of profit if the retailer offers a 5 % discount on the sell price , then the equation changes . . . 5 % ( 145 ) = $ 7.25 discount $ 137.75 = $ 125 + $ 12.75 now , the retailer makes a profit of just $ 12.75 per item sold . to earn $ 2,000 in profit , the retailer must sell . . . . $ 12.75 ( x ) = $ 2,000 x = 2,000 / 12.75 x = 156.8627 = 157 items a" - }, - { - "Answer": 6480, - "Options": "a ) 5100 , b ) 5120 , c ) 5200 , d ) 5400 , e ) 6480", - "Correct": "e", - "Explanation": "\"formula : ( after = 100 denominator ago = 100 numerator ) 8000 \u00e3 \u2014 90 / 100 \u00e3 \u2014 90 / 100 = 6480 answer : e\"" - }, - { - "Answer": 65, - "Options": "a ) 65 % , b ) 52 % , c ) 85 % , d ) 69 % , e ) 75 %", - "Correct": "a", - "Explanation": "\"say there are total of 100 registered voters in that city . thus 70 are democrats and 30 are republicans . 70 * 0.80 = 56 democrats are expected to vote for candidate a ; 30 * 0.30 = 9 republicans are expected to vote for candidate a . thus total of 56 + 9 = 65 registered voters are expected to vote for candidate a , which is 65 % of the total number of registered voters . answer : a\"" - }, - { - "Answer": 26, - "Options": "a ) \u2212 5 % , b ) 5 % , c ) 15 % , d ) 26 % , e ) 80 %", - "Correct": "d", - "Explanation": "\"the actual answer is obtained by multiplying 180 % by 70 % and subtracting 100 % from this total . that is : 180 % \u00d7 70 % = 126 % ; 126 % \u2212 100 % = 26 % . answer : d\"" - }, - { - "Answer": 4200, - "Options": "a ) 7000 , b ) 7029 , c ) 2778 , d ) 4200 , e ) 2791", - "Correct": "d", - "Explanation": "\"let the sum be rs . x . ( x * 18 * 2 ) / 100 - ( x * 12 * 2 ) / 100 = 504 = > 36 x / 100 - 24 x / 100 = 504 = > 12 x / 100 = 840 = > x = 4200 . answer : d\"" - }, - { - "Answer": 6, - "Options": "a ) 2 . , b ) 3.5 . , c ) 4 . , d ) 5.5 . , e ) 6 .", - "Correct": "e", - "Explanation": "time take by the green lizard to cover the distance between the caves = 108 mins time take by the green lizard to cover half the distance = 108 / 2 = 54 mins time take by the blue lizard to cover the distance between the caves = 108 x 3 / 4 = 81 mins time take by the blue lizard to cover half the distance = 81 / 2 = 40.5 mins now the green lizard had been travelling for 7.5 mins when the blue lizard started . therefore when the blue lizard starts to move the green lizard will have to cover 54 - 7.5 = 46.5 mins worth of distance at its current speed . difference in time when they both reach the mid point = 46.5 - 40.5 = 6 mins . e is the correct answer ." - }, - { - "Answer": 34.375, - "Options": "a ) 34.375 % , b ) 48 % , c ) 50.5 % , d ) 52 % , e ) 56 %", - "Correct": "a", - "Explanation": "\"explanation : let marked price = rs . 100 . then , c . p . = rs . 64 , s . p . = rs . 86 gain % = 22 / 64 * 100 = 34.375 % . answer : option a\"" - }, - { - "Answer": 460, - "Options": "a ) 300 , b ) 420 , c ) 460 , d ) 320 , e ) 400", - "Correct": "c", - "Explanation": "\"mary receives $ 8 ( 20 ) = $ 160 for the first 20 hours . for the 30 overtime hours , she receives $ 8 ( 0.25 ) + $ 8 = $ 10 per hour , that is $ 10 ( 30 ) = $ 300 . the total amount is $ 160 + $ 300 = $ 460 answer c 460 .\"" - }, - { - "Answer": 200.00000000000006, - "Options": "a ) 100 % , b ) 120 % , c ) 150 % , d ) 200 % , e ) 300 %", - "Correct": "d", - "Explanation": "\"p = 0.3 r = 0.9 g r = 0.9 g / 0.3 = 3 g thus r is 200 % greater than g . the answer is d .\"" - }, - { - "Answer": 16, - "Options": "a ) s . 42 , b ) s . 46 , c ) s . 40 , d ) s . 41 , e ) s . 16", - "Correct": "e", - "Explanation": "\"800 * ( 10 / 100 ) = 80 - - - - 5 ? - - - - 1 = > rs . 16 answer : e\"" - }, - { - "Answer": 104, - "Options": "a ) 80 % , b ) 105 % , c ) 120 % , d ) 124.2 % , e ) 104 %", - "Correct": "e", - "Explanation": "x = profits r = revenue x / r = 0,1 x = 10 r = 100 2009 : r = 80 x / 80 = 0,13 = 13 / 100 x = 80 * 13 / 100 x = 10.4 10.4 / 10 = 1,04 = 104 % , answer e" - }, - { - "Answer": 10.07212046142853, - "Options": "a ) 4 , b ) 10 , c ) 18 , d ) 19 , e ) 25", - "Correct": "b", - "Explanation": "\"14 ^ 2 - 9 ^ 2 = 115 it means that the height is equal to 10.72 . since the top of the ladder slips down 1 feet , then the height of the wall = 10.72 - 1 = 9.72 the bottom = sqrt ( 14 ^ 2 - 9.72 ^ 2 ) = sqrt ( 196 - 94.47 ) = 10.07 ~ = 10 ans is b\"" - }, - { - "Answer": 1200, - "Options": "a ) rs . 950 , b ) rs . 1500 , c ) rs . 1000 , d ) rs . 1200 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : sp of 1 metre cloth = 8200 / 40 = rs . 205 . cp of 1 metre cloth = rs . 205 \u2013 30 = rs . 175 cp on 40 metres = 175 x 40 = rs . 7000 profit earned on 40 metres cloth = rs . 8200 \u2013 rs . 7000 = rs . 1200 . answer : option d\"" - }, - { - "Answer": 400.00000000000006, - "Options": "a ) 391 , b ) 400 , c ) 410 , d ) 423 , e ) 445", - "Correct": "b", - "Explanation": "given : january * 1.15 = december - - > january * 1.15 = 460 - - > january = 460 / 1.15 = 400 . answer : b ." - }, - { - "Answer": 2400, - "Options": "a ) $ 2000 , b ) $ 2500 , c ) $ 2400 , d ) $ 3120 , e ) $ 1540", - "Correct": "c", - "Explanation": "\"115 % of cost - 110 % of cost = $ 120 5 % of cost = $ 120 cost = 120 * 100 / 5 = $ 2400 answer is c\"" - }, - { - "Answer": 44, - "Options": "a ) 14 , b ) 16 , c ) 26 , d ) 44 , e ) 65", - "Correct": "d", - "Explanation": "m f total l 16 14 30 s 44 70 tot 60 40 100 35 % of 40 = 14 - - - - - - female voters that means 16 male voted for l so 60 - 16 = 44 d is correct" - }, - { - "Answer": 9000, - "Options": "a ) 9000 , b ) 2778 , c ) 6000 , d ) 2889 , e ) 6612", - "Correct": "a", - "Explanation": "x * 12 : 2 x * 6 : 3 x * 4 1 : 1 : 1 1 / 3 * 27000 = 9000 answer : a" - }, - { - "Answer": 93.2, - "Options": "a ) 93.9 , b ) 96.3 , c ) 93.2 , d ) 96.7 , e ) 96.21", - "Correct": "c", - "Explanation": "\"explanation : use the formula , cp = 100 \u00e2 \u20ac \u201c discount + brokerage % cp = 100 - 7 + 1 / 5 93.2 thus the cp is rs 93.2 . answer : c\"" - }, - { - "Answer": 115260.00000000001, - "Options": "a ) $ 255260 , b ) $ 435260 , c ) $ 125260 , d ) $ 115260 , e ) $ 155260", - "Correct": "d", - "Explanation": "\"the value of the machine after two years = 0.78 * 0.78 * 1 , 50,000 = $ 91,260 sp such that a profit of $ 24,000 is made = 91,260 + 24,000 = $ 1 , 15,260 d\"" - }, - { - "Answer": 3000, - "Options": "a ) 3000 , b ) 3100 , c ) 3200 , d ) 3300 , e ) 3400", - "Correct": "a", - "Explanation": "\"difference in s . i . = p \u00d7 t / 100 ( r 1 \u2212 r 2 ) \u21d2 1350 = p \u00d7 9 x 5 / 100 ( \u2235 r 1 - r 2 = 2 ) \u21d2 p = 1350 \u00d7 100 / 9 x 5 = 3000 answer a\"" - }, - { - "Answer": 810, - "Options": "a ) 610 , b ) 710 , c ) 810 , d ) 900 , e ) 1000", - "Correct": "c", - "Explanation": "\"let the capital of pyarelal be x , then capital of ashok = x / 9 so ratio of investment of pyarelal and ashok = x : x / 9 = 9 x : x hence out of the total loss of 900 , loss of pyarelal = 900 * 9 x / 10 x = 810 answer : c\"" - }, - { - "Answer": 6, - "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", - "Correct": "e", - "Explanation": "\"225 = ( 750 * 5 * r ) / 100 r = 6 % . answer : e\"" - }, - { - "Answer": 16, - "Options": "a ) 4 , b ) 16 , c ) 8 , d ) 1 , e ) 2", - "Correct": "b", - "Explanation": "explanation : let the required number of mats be x more mat - weavers , more mats ( direct proportion ) more days , more mats ( direct proportion ) hence we can write as ( mat - weavers ) 4 : 8 ( days ) 4 : 8 } : : 4 : x \u21d2 4 \u00d7 4 \u00d7 x = 8 \u00d7 8 \u00d7 4 \u21d2 x = 2 \u00d7 2 \u00d7 4 = 16 answer : option b" - }, - { - "Answer": 44, - "Options": "a ) rs . 40 , b ) rs . 50 , c ) rs . 49 , d ) rs . 59 , e ) rs . 44", - "Correct": "e", - "Explanation": "s . p 1 - c . p = c . p \u2013 s . p 2 66 - c . p = c . p - 22 2 c . p = 66 + 22 ; c . p = 88 / 2 = 44 answer : e" - }, - { - "Answer": 6499.999999999999, - "Options": "a ) s . 5000 , b ) s . 6500 , c ) s . 5800 , d ) s . 6000 , e ) s . 6200", - "Correct": "b", - "Explanation": "\"p ( r / 100 ) ^ 2 = c . i - s . i p ( 10 / 100 ) ^ 2 = 65 6500 answer : b\"" - }, - { - "Answer": 35, - "Options": "a ) 25 % , b ) 30 % , c ) 35 % , d ) 40 % , e ) 45 %", - "Correct": "c", - "Explanation": "45 % is 15 % - points above 30 % and 15 % - points below 60 % . so the ratio of sue ' s mix to jane ' s mix is 1 : 1 . 1 / 2 * 70 % = 35 % the answer is c ." - }, - { - "Answer": 304, - "Options": "a ) 338 , b ) 277 , c ) 342 , d ) 882 , e ) 304", - "Correct": "e", - "Explanation": "\"400 * ( 80 / 100 ) * ( 95 / 100 ) = 304 answer : e\"" - }, - { - "Answer": 1320, - "Options": "a ) 1310 , b ) 1320 , c ) 1322 , d ) 1323 , e ) 1312", - "Correct": "b", - "Explanation": "lcm of 5 , 8 , 11 and 15 is 1320 lcm = 1320 answer : b" - }, - { - "Answer": 8.888194417315589, - "Options": "a ) 8.62 % , b ) 8.88 % , c ) 8.32 % , d ) 8 % , e ) 9 %", - "Correct": "b", - "Explanation": "\"explanation : let rate = r % then time = r years . = > 800 \u2217 r \u2217 r / 100 = 632 = > r 2 = 79 = > r = 8.88 % option b\"" - }, - { - "Answer": 10860.72, - "Options": "a ) 10000 , b ) 12000 , c ) 13000 , d ) 10860 , e ) 14400", - "Correct": "d", - "Explanation": "\"formula : ( after = 100 denominator ago = 100 numerator ) 7800 \u00d7 118 / 100 \u00d7 118 / 100 = 10860 d\"" - }, - { - "Answer": 4800, - "Options": "a ) $ 8,000 , b ) $ 5,600 , c ) $ 3,200 , d ) $ 2,400 , e ) $ 4,800", - "Correct": "e", - "Explanation": "\"e . market value in 1982 = $ 8000 market value in 1983 = $ 8000 - ( $ 8000 x 20 / 100 ) = 8000 - 1600 = $ 6400 market value in 1984 = market value in 1983 - ( 20 % of $ 8000 ) = 6400 - 1600 = $ 4800\"" - }, - { - "Answer": 47.65573770491803, - "Options": "a ) 45 % , b ) 48 % , c ) 57 % , d ) 59 % , e ) 61 %", - "Correct": "b", - "Explanation": "\"total number of votes polled = ( 5136 + 7636 + 11628 ) = 24400 so , required percentage = 11628 / 24400 * 100 = 48 % b\"" - }, - { - "Answer": 160, - "Options": "a ) 100 rs , b ) 150 rs , c ) 160 rs , d ) 180 rs , e ) 200 rs", - "Correct": "c", - "Explanation": "\"gain in 2 years = [ ( 8000 * 6 * 2 ) / 100 ] - [ ( 8000 * 4 * 2 ) / 100 ] 960 - 640 = 320 gain in 1 year = ( 320 / 2 ) = 160 rs answer : c\"" - }, - { - "Answer": 14.0625, - "Options": "a ) 14 % , b ) 25 % , c ) 32 % , d ) 40 % , e ) 52 %", - "Correct": "a", - "Explanation": "\"we are asked to find the percentage of females in employed people . total employed people 64 % , out of which 55 are employed males , hence 9 % are employed females . ( employed females ) / ( total employed people ) = 9 / 64 = 14 % answer : a .\"" - }, - { - "Answer": 60, - "Options": "a ) 52 sec , b ) 45 sec , c ) 60 sec , d ) 25 sec , e ) 39 sec", - "Correct": "c", - "Explanation": "\"speed = 12 km / hr = 12 * 5 / 18 = 10 / 3 m / sec distance = 50 * 4 = 200 m time taken = 200 * 3 / 10 = 60 sec answer is c\"" - }, - { - "Answer": 900, - "Options": "a ) 900 , b ) 1,800 , c ) 2,700 , d ) 10,800 , e ) 64,800", - "Correct": "a", - "Explanation": "\"6 machines produce 270 bottles per minute ; 1 machine produces 270 / 6 = 45 bottles per minute ; 5 machines produce 45 * 5 = 225 bottles per minute ; in 4 minutes 10 machines produce 225 * 4 = 900 bottles . answer : a .\"" - }, - { - "Answer": 24, - "Options": "a ) 18 , b ) 20 , c ) 22 , d ) 24 , e ) 26", - "Correct": "d", - "Explanation": "let the cost price = y the cost price of 30 articles = 30 y the selling price of x articles = 1.25 y * x 1.25 y * x = 30 y x = 30 / 1.25 = 24 the answer is d ." - }, - { - "Answer": 14, - "Options": "a ) 1 kmph , b ) 6 kmph , c ) 7 kmph , d ) 14 kmph , e ) 9 kmph", - "Correct": "d", - "Explanation": "\"explanation : ds = 36 us = 8 s = ? s = ( 36 - 8 ) / 2 = 14 kmph answer : d\"" - }, - { - "Answer": 300, - "Options": "a ) $ 100 , b ) $ 250 , c ) $ 300 , d ) $ 200 , e ) $ 180", - "Correct": "c", - "Explanation": "\"118 % of cost - 112 % of cost = $ 18 6 % of cost = $ 18 cost = 18 * 100 / 6 = $ 300 answer is c\"" - }, - { - "Answer": 20, - "Options": "a ) 20 % , b ) 2 / 8 % , c ) 2 / 1 % , d ) 1 / 3 % , e ) 2 / 7 %", - "Correct": "a", - "Explanation": "let the price of the article be rs . 100 . 25 % of 100 = 25 . new price = 100 + 25 = rs . 125 required percentage = ( 125 - 100 ) / 125 * 100 = 25 / 125 * 100 = 20 % . answer : a" - }, - { - "Answer": 9.999999999999996, - "Options": "a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) none of them", - "Correct": "b", - "Explanation": "\"let the market price of each pen be rs 1 then , c . p of 40 pens = rs 36 s . p of 40 pens = 99 % of rs 40 = rs 39.60 profit % = ( ( 3.60 * 100 ) / 36 ) % = 10 % answer is b .\"" - }, - { - "Answer": 768, - "Options": "a ) rs . 768 , b ) rs . 968 , c ) rs . 1960 , d ) rs . 2400 , e ) none", - "Correct": "a", - "Explanation": "solution p . w = 100 xt . d . / r x t = 100 x 168 / 14 x 2 = 600 . \u2234 sum = ( p . w . + td . ) = rs . 768 . answer a" - }, - { - "Answer": 249.99999999999994, - "Options": "a ) 160 , b ) 150 , c ) 250 , d ) 80 , e ) 50", - "Correct": "c", - "Explanation": "\"say there are a gallons of fuel a in the tank , then there would be 200 - a gallons of fuel b . the amount of ethanol in a gallons of fuel a is 0.12 a ; the amount of ethanol in 200 - a gallons of fuel b is 0.16 ( 200 - a ) ; since the total amount of ethanol is 22 gallons then 0.12 a + 0.16 ( 200 - a ) = 22 - - > a = 250 . answer : c .\"" - }, - { - "Answer": 800, - "Options": "a ) 500 , b ) 688 , c ) 200 , d ) 121 , e ) 800", - "Correct": "e", - "Explanation": "let c . p . be rs . x . then , 5 % of x = 420 - 380 = 40 x / 20 = 40 = > x = 800 answer : e" - }, - { - "Answer": 60, - "Options": "a ) 39 % , b ) 20 % , c ) 23 % , d ) 74 % , e ) 60 %", - "Correct": "e", - "Explanation": "\"900 - - - - 540 100 - - - - ? = > 60 % answer : e\"" - }, - { - "Answer": 3900, - "Options": "a ) 3630 , b ) 3900 , c ) 8828 , d ) 2387 , e ) 2813", - "Correct": "b", - "Explanation": "\"6300 : 4200 : 10500 3 : 2 : 5 3 / 10 * 13000 = 3900 answer : b\"" - }, - { - "Answer": 0.27999999999999997, - "Options": "a ) 0.28 , b ) 0.27 , c ) 0.25 , d ) 0.32 , e ) 0.35", - "Correct": "a", - "Explanation": "\"say there are 100 people in that group , then there would be 0.7 * 0.40 * 100 = 28 women lawyers , which means that the probability that the member selected is a woman lawyer is favorable / total = 28 / 100 . answer : a\"" - }, - { - "Answer": 16, - "Options": "a ) 18 , b ) 16 , c ) 26 , d ) 17 , e ) 11", - "Correct": "b", - "Explanation": "\"explanation : 1500 - - - - 240 100 - - - - ? = > 16 % answer : b\"" - }, - { - "Answer": 759.9999999999999, - "Options": "a ) 288 , b ) 760 , c ) 155 , d ) 600 , e ) 441", - "Correct": "b", - "Explanation": "\"ratio of investments of a , b and c is 8000 : 10000 : 12000 = 4 : 5 : 6 and also given that , profit share of b is rs . 1900 = > 5 parts out of 15 parts is rs . 1900 now , required difference is 6 - 4 = 2 parts required difference = 2 / 5 ( 1900 ) = rs . 760 answer : b\"" - }, - { - "Answer": 1148, - "Options": "a ) rs . 1148 , b ) rs . 1160 , c ) rs . 1190 , d ) rs . 1202 , e ) none", - "Correct": "a", - "Explanation": "\"solution s . p = 82 % of rs . 1400 = rs . ( 82 / 100 \u00d7 1400 ) rs . 1148 . answer a\"" - }, - { - "Answer": 30, - "Options": "a ) 15 % , b ) 20 % , c ) 25 % , d ) 30 % , e ) 35 %", - "Correct": "d", - "Explanation": "\"the volume of the mixture be x + y . 0.4 x + 0.5 y = 0.47 ( x + y ) x = 3 y / 7 x / ( x + y ) = ( 3 y / 7 ) / ( 10 y / 7 ) = 3 / 10 = 30 % . the answer is d .\"" - }, - { - "Answer": 16.8, - "Options": "a ) $ 10.00 , b ) $ 11.20 , c ) $ 14.40 , d ) $ 16.80 , e ) $ 18.00", - "Correct": "d", - "Explanation": "\"for retail price = $ 30 first maximum discounted price = 30 - 30 % of 30 = 30 - 9 = 21 price after additional discount of 20 % = 21 - 20 % of 21 = 21 - 4.2 = 16.8 answer : option d\"" - }, - { - "Answer": 24, - "Options": "a ) 24 , b ) 18 , c ) 9 , d ) 27 , e ) 18", - "Correct": "a", - "Explanation": "\"an alloy of 16 oz which is 50 % gold means there is 8 oz of gold . to get to an alloy that is 80 % gold , let ' s use this expression : ( 8 + x ) / ( 16 + x ) = 0.8 with x representing the amount of pure gold that must be added to get to 80 % . the expression we are using represents the new total weight of pure gold over the new total new weight of the alloy and this fraction should represent 80 % or 0.8 . you will see that 24 is the correct answer , as 32 / 40 = 0.8 choose a\"" - }, - { - "Answer": 144, - "Options": "a ) 80 % , b ) 105 % , c ) 120 % , d ) 144 % , e ) 138 %", - "Correct": "d", - "Explanation": "\"x = profits r = revenue x / r = 0,1 x = 10 r = 100 2009 : r = 80 x / 80 = 0,18 = 18 / 100 x = 80 * 18 / 100 x = 14.4 14.4 / 10 = 1,44 = 144 % , answer d\"" - }, - { - "Answer": 44, - "Options": "a ) 28 % , b ) 30 % , c ) 32 % , d ) 34 % , e ) 44 %", - "Correct": "e", - "Explanation": "\"1 . 40 % of 400 = 160 pounds of decaffeinated coffee 2 . 60 % of 100 = 60 pounds of decaffeinated coffee 3 . wt have 220 pounds of decaffeinated out of 500 pounds , that means 220 / 500 * 100 % = 44 % . the correct answer is e .\"" - }, - { - "Answer": 27.5, - "Options": "a ) 22 % , b ) 23 % , c ) 24 % , d ) 25 % , e ) 27.5 %", - "Correct": "e", - "Explanation": "\"since 20 % of the customers who sample the candyare notcaught , then 80 % of the customers who sample the candyarecaught : { % of customers who sample candy } * 0.80 = 0.22 ; { % of customers who sample candy } = 0.275 answer : e .\"" - }, - { - "Answer": 45, - "Options": "a ) 43 , b ) 55 , c ) 35 , d ) 45 , e ) 40", - "Correct": "d", - "Explanation": "\"1200 * ( 15 / 100 ) = 180 - - - - 4 ? - - - - 1 = > rs . 45 answer : d\"" - }, - { - "Answer": 3700, - "Options": "a ) $ 2400 , b ) $ 3200 , c ) $ 6000 , d ) $ 6400 , e ) $ 3700", - "Correct": "e", - "Explanation": "\"let x be the monthly salary 15 % of 1 / 5 * x = 111 x = 3700 answer e\"" - }, - { - "Answer": 18.577075098814234, - "Options": "a ) 10 % , b ) 50 % , c ) 25 % , d ) 52 % , e ) 18.5 %", - "Correct": "e", - "Explanation": "\"explanation : cost price = ( 225 + 28 ) = 253 sell price = 300 gain = ( 47 / 253 ) * 100 = 18.5 % . answer : e\"" - }, - { - "Answer": 160, - "Options": "a ) 200 , b ) 160 , c ) 100 , d ) 65 , e ) 50", - "Correct": "b", - "Explanation": "\"( 45 / 100 ) z = ( 96 / 100 ) y and y = ( 75 / 100 ) x i . e . y = ( 3 / 4 ) x i . e . ( 45 / 100 ) z = ( 96 / 100 ) * ( 3 / 4 ) x i . e . z = ( 96 * 3 ) x / ( 45 * 4 ) i . e . z = ( 1.6 ) x = ( 160 / 100 ) x i . e . z is 160 % of x answer : option b\"" - }, - { - "Answer": 30, - "Options": "a ) 18 , b ) 30 , c ) 42 , d ) 68 , e ) 70", - "Correct": "b", - "Explanation": "\"the correct method total = 300 . . 70 % of 300 = 210 got gifts . . 90 did not get gift , out of which 48 are males , so remaining 90 - 45 = 50 are females . . but 40 % females brought gift , so 60 % did not get it . . so 60 % = 45 , 100 % = 45 * 100 / 60 = 75 . . ans 40 % of 75 = 30 b\"" - }, - { - "Answer": 5600, - "Options": "a ) $ 8,000 , b ) $ 5,600 , c ) $ 3,200 , d ) $ 4,400 , e ) $ 800", - "Correct": "b", - "Explanation": "\"b . market value in 1982 = $ 8000 market value in 1983 = $ 8000 - ( $ 8000 x 15 / 100 ) = 8000 - 1200 = $ 6800 market value in 1984 = market value in 1983 - ( 15 % of $ 8000 ) = 6800 - 1200 = $ 5600\"" - }, - { - "Answer": 750, - "Options": "a ) 750 , b ) 625 , c ) 1,250 , d ) 2,500 , e ) 10,000", - "Correct": "a", - "Explanation": "\"this is a rather straight forward ratio problem . 1 . 30 fish tagged 2 . 2 out of the 50 fish caught were tagged thus 2 / 50 2 / 50 = 30 / x thus , x = 750 think of the analogy : 2 fish is to 50 fish as 50 fish is to . . . ? you ' ve tagged 50 fish and you need to find what that comprises as a percentage of the total fish population - we have that information with the ratio of the second catch . a\"" - }, - { - "Answer": 1440, - "Options": "a ) 600 , b ) 700 , c ) 840 , d ) 940 , e ) 1440", - "Correct": "e", - "Explanation": "\"let the capital of pyarelal be x , then capital of ashok = x / 9 so ratio of investment of pyarelal and ashok = x : x / 9 = 9 x : x hence out of the total loss of 1600 , loss of pyarelal = 1600 * 9 x / 10 x = 1440 answer : e\"" - }, - { - "Answer": 24.7, - "Options": "a ) 19 , b ) 19.7 , c ) 21.3 , d ) 21.5 , e ) 24.7", - "Correct": "e", - "Explanation": "\"total cost of the items he purchased = rs . 30 given that out of this rs . 30 , 30 % is given as tax = > total tax incurred = 30 % = rs . 30 / 100 let the cost of the tax free items = x given that tax rate = 6 % \u2234 ( 30 \u2212 30 / 100 \u2212 x ) 6 / 100 = 30 / 100 \u21d2 6 ( 30 \u2212 0.3 \u2212 x ) = 30 \u21d2 ( 30 \u2212 0.3 \u2212 x ) = 5 \u21d2 x = 30 \u2212 0.3 \u2212 5 = 24.7 e )\"" - }, - { - "Answer": 3.75, - "Options": "a ) 3.75 kg , b ) 2.4 kg , c ) 2.5 kg , d ) 10 kg , e ) none of these", - "Correct": "a", - "Explanation": "\"the weight of non - water in 30 kg of fresh grapes ( which is 100 - 90 = 10 % of whole weight ) will be the same as the weight of non - water in x kg of dried grapes ( which is 100 - 20 = 80 % of whole weight ) , so 30 \u00e2 \u02c6 \u2014 0.1 = x \u00e2 \u02c6 \u2014 0.8 - - > x = 3.75 answer : a\"" - }, - { - "Answer": 800, - "Options": "a ) 128 , b ) 277 , c ) 800 , d ) 2688 , e ) 1991", - "Correct": "c", - "Explanation": "\"cp * ( 76 / 100 ) = 608 cp = 8 * 100 = > cp = 800 answer : c\"" - }, - { - "Answer": 66.66666666666666, - "Options": "a ) 16 , b ) 127 , c ) 12 , d ) 18 , e ) 67", - "Correct": "e", - "Explanation": "\"percentage of profit = 20 / 30 * 100 = 67 % answer : e\"" - }, - { - "Answer": 72, - "Options": "a ) 72 sec , b ) 45 sec , c ) 1 min , d ) 32 sec , e ) 25 sec", - "Correct": "a", - "Explanation": "\"speed = 9 km / hr = 9 * 5 / 18 = 5 / 2 m / sec distance = 45 * 4 = 180 m time taken = 180 * 2 / 5 = 72 sec answer is a\"" - }, - { - "Answer": 28.000000000000004, - "Options": "a ) 28 % , b ) 30 % , c ) 32 % , d ) 34 % , e ) 40 %", - "Correct": "a", - "Explanation": "\"1 . 20 % of 400 = 80 pounds of decaffeinated coffee 2 . 60 % of 100 = 60 pounds of decaffeinated coffee 3 . wt have 140 pounds of decaffeinated out of 500 pounds , that means 140 / 500 * 100 % = 28 % . the correct answer is a .\"" - }, - { - "Answer": 12.5, - "Options": "a ) 12.5 % , b ) 12.9 % , c ) 18.5 % , d ) 11.5 % , e ) 12.3 %", - "Correct": "a", - "Explanation": "\"explanation : let principal = p , then , s . i . = p and time = 8 years rate = [ ( 100 x p ) / ( p x 8 ) ] % = 12.5 % per annum . answer : a ) 12.5 %\"" - }, - { - "Answer": 25, - "Options": "a ) 25 % , b ) 18 % , c ) 20 % , d ) 40 % , e ) 45 %", - "Correct": "a", - "Explanation": "\"100 ( 1000 - 800 ) / 800 = 25 % profit percentage = 25 % answer a\"" - }, - { - "Answer": 12, - "Options": "a ) 11 , b ) 13 , c ) 15 , d ) 18 , e ) 12", - "Correct": "e", - "Explanation": "90 % - - - 18 135 % - - - ? 90 / 135 * 18 = 12 answer : e" - }, - { - "Answer": 12.5, - "Options": "a ) 22.5 % , b ) 42.5 % , c ) 12.5 % , d ) 62.5 % , e ) 82.5 %", - "Correct": "c", - "Explanation": "by investing rs 128 , income derived = rs . 16 by investing rs . 100 , income derived = = rs . 12.5 interest obtained = 12.5 % answer : c" - }, - { - "Answer": 5, - "Options": "a ) 5 , b ) 15 , c ) 40 , d ) 50 , e ) 25", - "Correct": "a", - "Explanation": "\"selling price is 48 cents / lb for a 20 % profit , cost price should be 40 cents / lb ( cp * 6 / 5 = 48 ) basically , you need to mix 35 cents / lb ( salt 1 ) with 80 cents / lb ( salt 2 ) to get a mixture costing 40 cents / lb ( salt avg ) weight of salt 1 / weight of salt 2 = ( salt 2 - saltavg ) / ( saltavg - salt 1 ) = ( 80 - 40 ) / ( 40 - 35 ) = 8 / 1 we know that weight of salt 1 is 40 lbs . weight of salt 2 must be 5 lbs . answer ( a )\"" - }, - { - "Answer": 140, - "Options": "a ) 2287 , b ) 140 , c ) 128 , d ) 797 , e ) 123", - "Correct": "b", - "Explanation": "\"given 30 % ( income ) = 300 \u21d2 \u21d2 income = 1000 after having spent rs . 300 on petrol , he left with rs . 700 . his spending on house rent = 20 % ( 700 ) = rs . 140 answer : b\"" - }, - { - "Answer": 2500, - "Options": "a ) 2600 , b ) 2500 , c ) 2900 , d ) 2800 , e ) 2700", - "Correct": "b", - "Explanation": "\"sol . principal = rs . [ 100 * 750 / 6 * 5 ] = rs . [ 75000 / 30 ] = rs . 2500 . answer b\"" - }, - { - "Answer": 4, - "Options": "a ) 3 , b ) 4 , c ) 6 , d ) 9 , e ) 12", - "Correct": "b", - "Explanation": "assume initial amount is x annual interest is 34.1 % so after 1 year the amount will become x * ( 100 + 34.1 ) / 100 = > x * 4 / 3 now we need to find n for x * ( 4 / 3 ) ^ n = 3 x ; or in other words n = 4 answer : b" - }, - { - "Answer": 345, - "Options": "a ) 252.5 , b ) 364.5 , c ) 367.5 , d ) 375 , e ) 345", - "Correct": "e", - "Explanation": "\"for this it is easiest to use simple numbers . let ' s assume that elaine ' s annual earnings last year were $ 100 . she would ' ve spent $ 10 of this on rent . this year she earned 15 % more , or $ 115 . she would ' ve spent 30 % of this on rent , or $ 34.5 do $ 34.5 / $ 10 this will give you 345 % e is the correct answer .\"" - }, - { - "Answer": 72, - "Options": "a ) rs . 72 , b ) rs . 60 , c ) rs . 75 , d ) rs . 76 , e ) none", - "Correct": "a", - "Explanation": "solution : initial cost = rs . 75 after 20 % increase in the cost , it becomes , ( 75 + 20 % of 75 ) = rs . 90 now , cost is decreased by 20 % , so cost will become , ( 90 - 20 % of 90 ) = rs . 72 . so , present cost is rs . 72 . mind calculation method : 75 - - - - - 20 % \u2191 - - \u2192 90 - - - - - 20 % \u2193 - - - - - \u2192 72 . answer : option a" - }, - { - "Answer": 10, - "Options": "a ) 11 , b ) 14 , c ) 13 , d ) 15 , e ) 10", - "Correct": "e", - "Explanation": "p = ( p * 10 * r ) / 100 r = 10 % answer : e" - }, - { - "Answer": 0.023809523809523808, - "Options": "a ) 1 / 12 , b ) 1 / 10 , c ) 1 / 8 , d ) 1 / 42 , e ) 5 / 9", - "Correct": "d", - "Explanation": "key is that there is no replacement , so each successive choice will become more skewed towards picking a neg ( i . e . the pool of positives decreases , while the pool of negatives stay the same ) p ( + on 1 st pick ) = 5 / 10 p ( + on 2 nd pick ) = 4 / 9 p ( + on 3 rd pick ) = 3 / 8 p ( + on 4 rd pick ) = 2 / 7 5 / 10 * 4 / 9 * 3 / 8 * 2 / 7 = 1 / 42 d" - }, - { - "Answer": 965, - "Options": "a ) a ) 1000 , b ) b ) 1055 , c ) c ) 965 , d ) d ) 1075 , e ) e ) 1080", - "Correct": "c", - "Explanation": "\"cost of 8 kg grapes = 70 \u00d7 8 = 560 . cost of 9 kg of mangoes = 45 \u00d7 9 = 405 . total cost he has to pay = 560 + 405 = 965 . c )\"" - }, - { - "Answer": 19, - "Options": "a ) 21 % , b ) 25 % , c ) 69 % , d ) 31 % , e ) 19 %", - "Correct": "e", - "Explanation": "let the original price be 100 . after 40 % markup , price = 140 after 15 % discount on this marked - up price , price = 140 - ( 15 % of 140 ) = 140 - 21 = 119 final profit = ( ( 119 - 100 ) / 100 ) * 100 = 19 % option e" - }, - { - "Answer": 25000.000000000007, - "Options": "a ) 25000 , b ) 2028 , c ) 2775 , d ) 5496 , e ) 6851", - "Correct": "a", - "Explanation": "\"40 % - - - - - - - - - - - l 60 % - - - - - - - - - - - w - - - - - - - - - - - - - - - - - - 20 % - - - - - - - - - - 5000 100 % - - - - - - - - - ? = > 25000 answer : a\"" - }, - { - "Answer": 2412.3076923076924, - "Options": "a ) $ 2400 , b ) $ 2412 , c ) $ 2650 , d ) $ 2732 , e ) $ 2800", - "Correct": "b", - "Explanation": "\"1.3 x = 2240 x = 2240 / 1.3 so , 1.4 x = 2240 * 1.4 / 1.3 = 2412 answer : - b\"" - }, - { - "Answer": 7560, - "Options": "a ) 1344 , b ) 3360 , c ) 7560 , d ) 50400 , e ) 67200", - "Correct": "c", - "Explanation": "\"8 machines produce 560 in 1 min 8 machines produce 560 * 6 in 6 min 18 machine produce 560 * 6 * ( 18 / 8 ) in 6 minutes 560 * 6 * 18 / 8 = 7560 answer is c .\"" - }, - { - "Answer": 679.9999999999999, - "Options": "a ) 288 , b ) 266 , c ) 155 , d ) 680 , e ) 441", - "Correct": "d", - "Explanation": "\"ratio of investments of a , b and c is 8000 : 10000 : 12000 = 4 : 5 : 6 and also given that , profit share of b is rs . 1700 = > 5 parts out of 15 parts is rs . 1700 now , required difference is 6 - 4 = 2 parts required difference = 2 / 5 ( 1700 ) = rs . 680 answer : d\"" - }, - { - "Answer": 24, - "Options": "a ) 24 , b ) 27 , c ) 40 , d ) 28 , e ) 20", - "Correct": "a", - "Explanation": "\"1200 * ( 12 / 100 ) = 144 - - - - 6 ? - - - - 1 = > rs . 24 answer : a\"" - }, - { - "Answer": 252000, - "Options": "a ) 70000 , b ) 60000 , c ) 80000 , d ) 90000 , e ) 252000", - "Correct": "e", - "Explanation": "\"a : b : c = 8000 : 4000 : 2000 = 4 : 2 : 1 let total profit = p then p \u00e3 \u2014 1 / 7 = 36000 p = ( 36000 \u00e3 \u2014 7 ) / 1 = 252000 answer is e .\"" - }, - { - "Answer": 1599.9999999999995, - "Options": "a ) 621 , b ) 276 , c ) 236 , d ) 1600 , e ) 211", - "Correct": "d", - "Explanation": "\"explanation : ratio of investments of a , b and c is 8000 : 10000 : 12000 = 4 : 5 : 6 and also given that , profit share of b is rs . 4000 = > 5 parts out of 15 parts is rs . 4000 now , required difference is 6 - 4 = 2 parts required difference = 2 / 5 ( 4000 ) = rs . 1600 answer : d\"" - }, - { - "Answer": 800, - "Options": "a ) 750 , b ) 700 , c ) 800 , d ) 850 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : note : majority ( 40 % ) = difference in votes polled to win ( 70 % ) & defeated candidates ( 30 % ) 40 % = 70 % - 30 % 40 % - - - - - > 320 ( 40 * 8 = 320 ) 100 % - - - - - > 800 ( 100 * 8 = 800 ) answer : option c\"" - }, - { - "Answer": 0.1499999999999999, - "Options": "a ) 2 / 20 , b ) 3 / 20 , c ) 4 / 20 , d ) 5 / 20 , e ) none", - "Correct": "b", - "Explanation": "solution : 1 / 4 + 3 ( 20 / 100 ) = 1 / 4 + 3 / 5 = 5 + 12 / 20 = 17 / 20 the sallary that will be spent = 17 / 20 unspend will be = 1 \u2212 17 / 20 = 20 \u2212 17 / 20 = 3 / 20 answer b" - }, - { - "Answer": 5655, - "Options": "a ) 22877 , b ) 5655 , c ) 2778 , d ) 6787 , e ) 1771", - "Correct": "b", - "Explanation": "let the sum lent by manoj to ramu be rs . p . amount gained by manoj = p . 3.9 / 100 = 3900 . 3.6 / 100 = rs . 824.85 27 p = 70200 = 82485 p = ( 82485 + 70200 ) / 27 = 3055 + 2600 = rs . 5655 answer : b" - }, - { - "Answer": 564.6666666666666, - "Options": "a ) 643 , b ) 652 , c ) 660 , d ) 564 , e ) 693", - "Correct": "d", - "Explanation": "\"= 560 / 1.2 \u2217 1.21 = 564 = 564 answer is d\"" - }, - { - "Answer": 17, - "Options": "a ) 9 % , b ) 11 % , c ) 13 % , d ) 15 % , e ) 17 %", - "Correct": "e", - "Explanation": "let p be the original price and let x be the number of items sold originally . the original income is p * x . after the changes , the income is 0.9 p * 1.3 x = 1.17 * ( p * x ) , an increase of 17 % . the answer is e ." - }, - { - "Answer": 4, - "Options": "a ) 1 , b ) 3 , c ) 2 , d ) 4 , e ) 5", - "Correct": "d", - "Explanation": "\"for lost , use negative . for gain , use positive . progress = - 5 + 9 = 4 yards correct answer is d ) 4\"" - }, - { - "Answer": 4860, - "Options": "a ) 5000 , b ) 4860 , c ) 5400 , d ) 4800 , e ) 5120", - "Correct": "b", - "Explanation": "formula : ( after = 100 denominator ago = 100 numerator ) 6000 \u00e3 \u2014 90 / 100 \u00e3 \u2014 90 / 100 = 4860 b" - }, - { - "Answer": 66.66666666666667, - "Options": "a ) a ) 100 , b ) b ) 66.7 , c ) c ) 250 , d ) d ) 200 , e ) e ) 160", - "Correct": "b", - "Explanation": "\"then , 10 % of x = 15 ( 15 / 100 ) x = 10 x = ( 10 * 100 * ) / 15 = 66.7 answer is b\"" - }, - { - "Answer": 299.9999999999997, - "Options": "a ) 100 , b ) 200 , c ) 250 , d ) 300 , e ) 400", - "Correct": "d", - "Explanation": "\"there are 594 managers and 6 others . the 6 others would compose 2 % of the total number of people if there were 300 people in the room . thus 300 managers must leave . the answer is d .\"" - }, - { - "Answer": 72, - "Options": "a ) 25 % , b ) 50 % , c ) 60 % , d ) 72 % , e ) 100 %", - "Correct": "d", - "Explanation": "\"basically we can disregard the radius is 25 % information , as we are only asked about the height of the original and the new cylinder . this is becausethe new cylinder is 3 / 5 fullmeans the same as that it ' s height is 3 / 5 . original cylinder 5 / 6 new cylinder 3 / 5 so 3 / 5 / 5 / 6 = 3 / 5 * 6 / 5 = 0.72 or 72 % . answer d\"" - }, - { - "Answer": 17.370892018779344, - "Options": "a ) 22 % , b ) 25 % , c ) 17.37 % , d ) 99 % , e ) 12 %", - "Correct": "c", - "Explanation": "\"852 - - - 148 100 - - - ? = > 17.37 % answer : c\"" - }, - { - "Answer": 6000.000000000128, - "Options": "a ) 4500 , b ) 7500 , c ) 5000 , d ) 6000 , e ) none of these", - "Correct": "d", - "Explanation": "\"sol . ( d ) let the sum be 100 . therefore , si = 100 \u00d7 5 \u00d7 2100 = 10100 \u00d7 5 \u00d7 2100 = 10 and ci = 100 ( 1 + 5100 ) 2 \u2212 100100 ( 1 + 5100 ) 2 \u2212 100 \u2234 = 100 \u00d7 21 \u00d7 2120 \u00d7 20 \u2212 100 = 414 = 100 \u00d7 21 \u00d7 2120 \u00d7 20 \u2212 100 = 414 difference of ci and si = 41 \u2044 4 - 10 = 1 \u2044 4 if the difference is 1 \u2044 4 , the sum = 100 = > if the difference is 15 , the sum = 400 \u00d7 15 = 6000 answer d\"" - }, - { - "Answer": 70, - "Options": "a ) 75 , b ) 70 , c ) 35 , d ) 170 , e ) 50", - "Correct": "b", - "Explanation": "\"( 50 / 100 ) * x \u00e2 \u20ac \u201c 10 = 25 5 x = 350 x = 70 answer : b\"" - }, - { - "Answer": 15, - "Options": "a ) 15 , b ) 20 , c ) 30 , d ) 35 , e ) 45", - "Correct": "a", - "Explanation": "\"s = 100 not ( w and b ) = 35 only w = 20 ( w and b ) / b = 1 / 2 let ( w and b ) = x only b = 2 x so now , 20 + 35 + x + 2 x = 100 x = 15 a ans\"" - }, - { - "Answer": 135, - "Options": "a ) 100 , b ) 110 , c ) 135 , d ) 140 , e ) 160", - "Correct": "c", - "Explanation": "\"final number = initial number + 50 % ( original number ) = 90 + 50 % ( 90 ) = 90 + 45 = 135 . answer c\"" - }, - { - "Answer": 9.821428571428571, - "Options": "a ) 10 % , b ) 10.5 % , c ) 11 % , d ) 12.5 % , e ) 9.8", - "Correct": "e", - "Explanation": "\"sol . let c . p . = rs . 100 . then , marked price = rs . 110 , s . p . = rs . 99 . \u2234 discount % = [ 11 / 112 * 100 ] % = 9.8 % answer e\"" - }, - { - "Answer": 147.0000000000001, - "Options": "a ) 130 , b ) 620 , c ) 147 , d ) 120 , e ) none of these", - "Correct": "c", - "Explanation": "\"solution = interest % for 1 st year = 10 interest % for 2 nd year = 10 + 10 % of 10 = 10 + 10 * 10 / 100 = 11 total % of interest = 10 + 11 = 21 total interest = 21 % 700 = 700 * ( 21 / 100 ) = 147 answer c\"" - }, - { - "Answer": 155.55555555555557, - "Options": "a ) 105.00 kg , b ) 115.60 kg , c ) 125.00 kg , d ) 130.50 kg , e ) 155.55 kg", - "Correct": "e", - "Explanation": "\"from the question we know : 400 kg * 65 % = 260 kg of water in the fresh grapes 400 kg - 260 kg of water = 140 kg of non - water mass we are looking for the weight of the dry grapes ( x ) . since the question tells us that 10 % of the weight of the dry graps is water and we know that 140 kg is non - water mass we can set up the following equation : x = 1 / 10 ( x ) + 140 kg 9 / 10 ( x ) = 140 kg x = 155.55 kg answer - e\"" - }, - { - "Answer": 233.33333333333334, - "Options": "a ) 16 , b ) 127 , c ) 12 , d ) 18 , e ) 233", - "Correct": "e", - "Explanation": "\"percentage of profit = 35 / 15 * 100 = 233 % answer : e\"" - }, - { - "Answer": 88.6, - "Options": "a ) 92.5 % , b ) 88.6 % , c ) 85.2 % , d ) 96.8 % , e ) 78.9 %", - "Correct": "b", - "Explanation": "\"total number of fruits shopkeeper bought = 600 + 400 = 1000 number of rotten oranges = 15 % of 600 = 15 / 100 \u00d7 600 = 9000 / 100 = 90 number of rotten bananas = 6 % of 400 = 24 therefore , total number of rotten fruits = 90 + 24 = 114 therefore number of fruits in good condition = 1000 - 114 = 886 therefore percentage of fruits in good condition = ( 886 / 1000 \u00d7 100 ) % = ( 88600 / 1000 ) % = 88.6 % answer : b\"" - }, - { - "Answer": 0.5555555555555556, - "Options": "a ) 1 / 5 , b ) 1 / 3 , c ) 2 / 5 , d ) 1 / 2 , e ) 5 / 9", - "Correct": "e", - "Explanation": "\"let weight of jar filled with beans = 100 g weight of jar = 10 g weight of coffee beans = 90 g weight of jar and remaining beans = 60 g weight of remaining beans = 50 g fraction remaining = 50 / 90 = 5 / 9 answer is e .\"" - }, - { - "Answer": 70.00000000000001, - "Options": "a ) 70 , b ) 90 , c ) 110 , d ) 120 , e ) 130", - "Correct": "a", - "Explanation": "\"33 1 / 3 % = 1 / 3 1 / 3 \u00d7 210 = 70 a )\"" - }, - { - "Answer": 33.333333333333336, - "Options": "a ) 33.3 % , b ) 40 % , c ) 50 % , d ) 60 % , e ) 66.6 %", - "Correct": "a", - "Explanation": "\"0.20 p = rt + c 0.4 ( rt ) = no c = > 0.60 ( rt ) had c 0.20 p = 0.60 ( rt ) rt / p = 1 / 3 = 33 % answer - a\"" - }, - { - "Answer": 12.36, - "Options": "a ) 12.04 % , b ) 14.14 % , c ) 12.36 % , d ) 12.26 % , e ) 15.5 %", - "Correct": "d", - "Explanation": "\"100 cm is read as 102 cm . a 1 = ( 100 x 100 ) cm 2 and a 2 ( 106 x 106 ) cm 2 . ( a 2 - a 1 ) = [ ( 106 ) 2 - ( 100 ) 2 ] = ( 106 + 100 ) x ( 106 - 100 ) = 1236 cm 2 . percentage error = 12.36 % d\"" - }, - { - "Answer": 72, - "Options": "a ) 52 sec , b ) 45 sec , c ) 72 sec , d ) 25 sec , e ) 39 sec", - "Correct": "c", - "Explanation": "\"speed = 12 km / hr = 12 * 5 / 18 = 10 / 3 m / sec distance = 60 * 4 = 240 m time taken = 240 * 3 / 10 = 72 sec answer is c\"" - }, - { - "Answer": 27, - "Options": "a ) 60 % , b ) 27 % , c ) 30 % , d ) 56 % , e ) 73 %", - "Correct": "b", - "Explanation": "\"let c . p . be rs . 100 . then , s . p . = rs . 120.65 let marked price be rs . x . then , 95 / 100 x = 120.65 x = 12065 / 95 = rs . 127 now , s . p . = rs . 127 , c . p . = rs . 100 profit % = 27 % . answer : b\"" - }, - { - "Answer": 105, - "Options": "a ) 110 , b ) 106 , c ) 105 , d ) 107 , e ) 109", - "Correct": "c", - "Explanation": "\"( 3500 * 1 * 3 ) / 100 = > 105 answer : c\"" - }, - { - "Answer": 499.99999999999994, - "Options": "a ) 289 , b ) 500 , c ) 188 , d ) 666 , e ) 155", - "Correct": "b", - "Explanation": "\"70 = ( p * 4 * 7 / 2 ) / 100 p = 500 answer : b\"" - }, - { - "Answer": 3999.9999999999995, - "Options": "a ) 3250 , b ) 3450 , c ) 4000 , d ) 3750 , e ) 3800", - "Correct": "c", - "Explanation": "60 % of 90 % = 54 % , 30 % 0 f 90 % = 27 % so the remaining 90 - 54 - 27 = 9 % = 360 acres or 10 % of 90 % = 9 % - - > 360 / 9 * 100 = 4000 acres answer ( c )" - }, - { - "Answer": 16, - "Options": "a ) 11 , b ) 10 , c ) 18 , d ) 16 , e ) 12", - "Correct": "d", - "Explanation": "\"7 * 5 : 8 * x = 7 : 10 x = 16 answer : d\"" - }, - { - "Answer": 80325, - "Options": "a ) 82762 , b ) 12877 , c ) 82882 , d ) 80925 , e ) 80325", - "Correct": "e", - "Explanation": "\"principal = ( 100 * 4016.25 ) / ( 1 * 5 ) = rs . 80325 . answer : e\"" - }, - { - "Answer": 10, - "Options": "a ) 1 % , b ) 10 % , c ) 100 % , d ) 50 % , e ) 25 %", - "Correct": "b", - "Explanation": "\"required percentage = 0.01 * 100 / 0.1 = 100 / 10 = 10 % answer is b\"" - }, - { - "Answer": 1.21, - "Options": "a ) 1.21 % , b ) 1.74 % , c ) 1.84 % , d ) 1.47 % , e ) 1.24 %", - "Correct": "a", - "Explanation": "\"sp of each car is rs . 325475 , he gains 11 % on first car and losses 11 % on second car . in this case , there will be loss and percentage of loss is given by = [ ( profit % ) ( loss % ) ] / 100 = ( 11 ) ( 11 ) / 100 % = 1.21 % answer : a\"" - }, - { - "Answer": 810, - "Options": "a ) 680 , b ) 810 , c ) 800 , d ) 730 , e ) 750", - "Correct": "b", - "Explanation": "from the details given in the problem principle = p = $ 9,000 and r = 9 % or 0.09 expressed as a decimal . as the annual interest is to be calculated , the time period t = 1 . plugging these values in the simple interest formula , i = p x t x r = 9,000 x 1 x 0.09 = 810.00 annual interest to be paid = $ 810 answer : b" - }, - { - "Answer": 0.5, - "Options": "a ) 1 / 6 , b ) 1 / 2 , c ) 5 / 8 , d ) 5 / 6 , e ) 15 / 16", - "Correct": "b", - "Explanation": "\"x - fraction of products jane inspected ( 1 - x ) - fraction of products john inspected 0.8 ( x ) + 0.7 ( 1 - x ) = 0.75 0.1 x = 0.75 - 0.7 x = 0.05 / 0.1 x = 1 / 2 therefore the answer is b : 1 / 2 .\"" - }, - { - "Answer": 240, - "Options": "a ) a ) 140 , b ) b ) 150 , c ) c ) 180 , d ) d ) 240 , e ) e ) 220", - "Correct": "d", - "Explanation": "explanation : ( 1 / 4 ) * ( 1 / 3 ) * ( 2 / 5 ) * x = 20 then x = 20 * 30 = 600 40 % of 600 = 240 answer : option d" - }, - { - "Answer": 65, - "Options": "a ) 200 , b ) 160 , c ) 100 , d ) 65 , e ) 50", - "Correct": "d", - "Explanation": "\"( 45 / 100 ) z = ( 39 / 100 ) y and y = ( 75 / 100 ) x i . e . y = ( 3 / 4 ) x i . e . ( 45 / 100 ) z = ( 39 / 100 ) * ( 3 / 4 ) x i . e . z = ( 39 * 3 ) x / ( 45 * 4 ) i . e . z = ( 0.65 ) x = ( 65 / 100 ) x i . e . z is 65 % of x answer : option d\"" - }, - { - "Answer": 70, - "Options": "a ) 62.5 , b ) 69.5 , c ) 67.5 , d ) 62.5 , e ) 70", - "Correct": "e", - "Explanation": "\"cp = 47.50 sp = 47.50 * ( 140 / 100 ) = 66.5 mp * ( 95 / 100 ) = 66.5 mp = 70 answer : e\"" - }, - { - "Answer": 630, - "Options": "a ) 630 , b ) 674 , c ) 672 , d ) 960 , e ) none", - "Correct": "a", - "Explanation": "\"solution : total employees , = 1500 female employees , 60 % of 1500 . = ( 60 * 1500 ) / 100 = 900 . then male employees , = 600 50 % of male are computer literate , = 300 male computer literate . 62 % of total employees are computer literate , = ( 62 * 1500 ) / 100 = 930 computer literate . thus , female computer literate = 930 - 300 = 630 answer : option a\"" - }, - { - "Answer": 23, - "Options": "a ) 17 , b ) 23 , c ) 77 , d ) 26 , e ) 30", - "Correct": "b", - "Explanation": "explanation : let , the number of apples be 100 . on the first day he sells 60 % apples i . e . , 60 apples . remaining apples = 40 . he throws 15 % of the remaining i . e . , 15 % of 40 = 6 . now he has 40 \u2212 6 = 34 apples the next day he throws 50 % of the remaining 34 apples i . e . , 17 . therefore , in total he throws 6 + 17 = 23 apples . answer : b" - }, - { - "Answer": 2, - "Options": "a ) 2 % , b ) 7 % , c ) 9 % , d ) 3 % , e ) 1 %", - "Correct": "a", - "Explanation": "\"let sum = x . then , s . i . = x / 5 , time = 10 years . rate = ( 100 * x ) / ( x * 5 * 10 ) = 2 % answer : a\"" - }, - { - "Answer": 14, - "Options": "a ) 8 % , b ) 6 % , c ) 21 % , d ) 14 % , e ) 17 %", - "Correct": "d", - "Explanation": "\"let the price be 100 . the price becomes 120 after a 20 % markup . now a discount of 5 % on 120 . profit = 114 - 100 14 % answer d\"" - }, - { - "Answer": 21.818181818181817, - "Options": "a ) rs . 21.81 , b ) rs . 12 , c ) rs . 12.25 , d ) rs . 12.31 , e ) none", - "Correct": "a", - "Explanation": "\"solution 88 : 16 = 120 : x x = ( 16 \u00e3 \u2014 120 / 88 ) = rs . 21.81 hence , s . p per kg = rs . 21.81 answer a\"" - }, - { - "Answer": 32, - "Options": "a ) 40 % , b ) 25 % , c ) 35 % , d ) 30 % , e ) 32 %", - "Correct": "e", - "Explanation": "investment 1000 dollars 1 st year total gained = 100 total amount end of first year = 1100 second year account increased by 20 % = 1100 * 0.2 = 220 therefore total amount by second year end = 1320 so total percentage increase in money = ( 1320 - 1000 ) * 100 / 1000 = 32 % correct answer e = 32 %" - }, - { - "Answer": 49.99999999999999, - "Options": "a ) 160 , b ) 150 , c ) 100 , d ) 80 , e ) 50", - "Correct": "e", - "Explanation": "\"say there are a gallons of fuel a in the tank , then there would be 200 - a gallons of fuel b . the amount of ethanol in a gallons of fuel a is 0.12 a ; the amount of ethanol in 200 - a gallons of fuel b is 0.16 ( 200 - a ) ; since the total amount of ethanol is 30 gallons then 0.12 a + 0.16 ( 200 - a ) = 30 - - > a = 50 . answer : e .\"" - }, - { - "Answer": 8, - "Options": "a ) 5 liters , b ) 10 liters , c ) 15 liters , d ) 8 liters , e ) 6 liters", - "Correct": "d", - "Explanation": "\"required answer is = 24 ( 60 - 40 ) / 60 = 8 liters answer is d\"" - }, - { - "Answer": 3846.153846153846, - "Options": "a ) 4063 , b ) 3846 , c ) 5351 , d ) 6000 , e ) 6154", - "Correct": "b", - "Explanation": "\"interest = 0.05 * 5000 = 0.065 * selling price - - > selling price = 0.05 * 5000 / 0.065 - - > selling price = ~ 3,846 answer : b .\"" - }, - { - "Answer": 2, - "Options": "a ) 1 kmph , b ) 2 kmph , c ) 8 kmph , d ) 7 kmph , e ) 5 kmph", - "Correct": "b", - "Explanation": "\"ds = 8 us = 4 s = ? s = ( 8 - 4 ) / 2 = 2 kmph answer : b\"" - }, - { - "Answer": 360, - "Options": "a ) a ) 360 , b ) b ) 150 , c ) c ) 180 , d ) d ) 200 , e ) e ) 220", - "Correct": "a", - "Explanation": "\"explanation : ( 1 / 4 ) * ( 1 / 3 ) * ( 2 / 5 ) * x = 30 then x = 30 * 30 = 900 40 % of 900 = 360 answer : option a\"" - }, - { - "Answer": 12.75, - "Options": "a ) 5 , b ) 12.5 , c ) 14.5 , d ) 12.75 , e ) 25", - "Correct": "d", - "Explanation": "255 / 100 = 2.55 1 % = 2.55 5 % = 2.55 * 5 = 12.75 answer : d" - }, - { - "Answer": 5.963855421686747, - "Options": "a ) 4.58 % , b ) 5.96 % , c ) 6.52 % , d ) 4.98 % , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : difference in amount = 514 - 415 = 99 99 = ( 415 x 4 x r ) / 100 r = 5.96 % answer is b\"" - }, - { - "Answer": 60, - "Options": "a ) 60 % , b ) 40 % , c ) 45 % , d ) 50 % , e ) 55 %", - "Correct": "a", - "Explanation": "75 / 125 \u00d7 100 = 50 % answer : a" - }, - { - "Answer": 1205.0000000000146, - "Options": "a ) 482 , b ) 1205 , c ) 992 , d ) 837 , e ) 923", - "Correct": "b", - "Explanation": "\"50000 ( 11 / 10 ) 4 - 50000 ( 6 / 5 ) 2 = 1205 answer : b\"" - }, - { - "Answer": 1000, - "Options": "a ) 1000 , b ) 1220 , c ) 1250 , d ) 1060 , e ) 1110", - "Correct": "a", - "Explanation": "p - 750 = ( p * 5 * 5 ) / 100 p = 1000 answer : a" - }, - { - "Answer": 2.1428571428571423, - "Options": "a ) 1.5 , b ) 1.75 , c ) 2.14 , d ) 2.34 , e ) 2.64", - "Correct": "c", - "Explanation": "let the total solution is 150 l with 80 l water 70 l syrup . to make 20 % syrup solution , the result solution must have 120 l syrup and 30 l syrup . therefore we are taking 40 l of syrup from initial solution and replacing with water . using urinary method : 70 l syrup in 150 l solution 40 l syrup in 85.7 l solution we started by multiplying 10 now to get to the result we need to divide by 40 = > amount of solution to be replaced with water = ( 85.7 / 40 ) = 2.14 . correct option : c" - }, - { - "Answer": 71.42857142857143, - "Options": "a ) 45.12 % , b ) 50 % , c ) 57 % , d ) 71.42 % , e ) 65 %", - "Correct": "d", - "Explanation": "\"total number of votes polled = ( 3000 + 5000 + 20000 ) = 28000 so , required percentage = 11628 / 20400 * 100 = 71.42 % d\"" - }, - { - "Answer": 3200, - "Options": "a ) 288 , b ) 3200 , c ) 800 , d ) 267 , e ) 121", - "Correct": "b", - "Explanation": "\"( 10 / 100 ) * x \u00e2 \u20ac \u201c ( 20 / 100 ) * 650 = 190 1 / 10 x = 320 x = 3200 answer : b\"" - }, - { - "Answer": 442.17600000000004, - "Options": "a ) $ 442 , b ) $ 470 , c ) $ 472 , d ) $ 484 , e ) $ 491", - "Correct": "a", - "Explanation": "if its previous november ( before discount ) then price is $ 470 . but if its november of next year then 16 % discount on $ 470 = 470 ( 1 - 16 / 100 ) = $ 394.8 again a corrected raised price of 12 % over $ 394.8 = 394.8 ( 1 + 12 / 100 ) = 442.176 ~ $ 4442 ans a" - }, - { - "Answer": 100, - "Options": "a ) 80 % , b ) 100 % , c ) 120 % , d ) 60 % , e ) 90 %", - "Correct": "b", - "Explanation": "\"given cash discount - 10 % profit - 35 % items sold - 20 price sold at = list price of 15 assume list price = $ 20 total invoice = $ 300 - 10 % cash discount = $ 270 let cost price of 20 items be x so total cost = 20 * x given the shopkeeper had a profit of 20 % 20 * x * 135 / 100 = 270 or x = $ 10 which means his products were listed at $ 20 which is a 100 % markup over $ 10 answer b\"" - }, - { - "Answer": 18.000000000000014, - "Options": "a ) 9 % , b ) 10 % , c ) 11 % , d ) 12 % , e ) 18 %", - "Correct": "e", - "Explanation": "\"x discount on pony jeans , ( 0.22 - x ) discount on fox jeans . set the equation : 3 * 15 ( 0.22 - x ) + 2 * 20 x = 9 - - > x = 0.18 = 18 % answer : e .\"" - }, - { - "Answer": 35.69230769230769, - "Options": "a ) 32 % , b ) 34.4 % , c ) 35 % , d ) 35.6 % , e ) 36.4 %", - "Correct": "d", - "Explanation": "\"( 1 ) when 30 and 40 has equal weight or weight = 1 / 2 , the answer would be 35 . ( 2 ) when 40 has larger weight than 30 , the answer would be in between 35 and 40 . unfortunately , we have 2 answer choices d and e that fit that condition so we need to narrow down our range . ( 3 ) get 74000 / 128000 = 74 / 128 = 37 / 65 is a little above 1 / 2 . thus , our answer is just a little above 35 . answer : d\"" - }, - { - "Answer": 53.333333333333336, - "Options": "a ) 30 % , b ) 53 % , c ) 90 % , d ) 100 % , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : let c . p . = rs . 100 . then , profit = rs . 140 , s . p . = rs . 240 . new c . p . = 112 % of rs . 100 = rs . 112 new s . p . = rs . 240 . profit = rs . ( 240 - 112 ) = rs . 128 . required percentage = ( 128 / 240 * 100 ) % = 53 % appox answer : b\"" - }, - { - "Answer": 2125, - "Options": "a ) rs 2125 , b ) rs 2040 , c ) rs 2100 , d ) rs 2200 , e ) rs 2,300", - "Correct": "a", - "Explanation": "suppose that his salary = rs 100 house rent = rs 20 , balance = rs 80 expenditure on education = rs ( 10 x 80 ) / 100 = rs 8 balance = rs 72 expenditure on clothes rs ( 10 x 72 ) / 100 = rs 7.2 balance now = rs 64.8 if balance is rs 64.8 , salary = rs 100 if balance is rs 1,377 , salary = rs ( 100 x 1377 ) / 64.8 rs 2,125 answer : a" - }, - { - "Answer": 8032.5, - "Options": "a ) 8925 , b ) 8032.5 , c ) 4462.5 , d ) 8900 , e ) none of these", - "Correct": "b", - "Explanation": "let the sums be p . now , 50 % of p = 4016.25 or , p = 8032.5 answer b" - }, - { - "Answer": 13.750000000000002, - "Options": "a ) 14 % , b ) 15 % , c ) 12 % , d ) 13.75 % , e ) 14.56 %", - "Correct": "d", - "Explanation": "explanation : let the rate of interest per annum be r % simple interest for rs . 4000 for 2 years at r % + simple interest for rs . 2000 for 4 years at r % = 2200 ( 4000 \u00d7 r \u00d7 2 ) / 100 + ( 2000 \u00d7 r \u00d7 4 ) / 100 = 2200 80 r + 80 r = 2200 160 r = 2200 16 r = 220 4 r = 55 r = 55 / 4 = 13.75 % answer : option d" - }, - { - "Answer": 2, - "Options": "a ) 1 kmph , b ) 2 kmph , c ) 5 kmph , d ) 7 kmph , e ) 8 kmph", - "Correct": "b", - "Explanation": "\"ds = 6 us = 2 s = ? s = ( 6 - 2 ) / 2 = 2 kmph answer : b\"" - }, - { - "Answer": 3810, - "Options": "a ) 3630 , b ) 9232 , c ) 8828 , d ) 2387 , e ) 3810", - "Correct": "e", - "Explanation": "\"6300 : 4200 : 10500 3 : 2 : 5 3 / 10 * 12700 = 3810 answer : e\"" - }, - { - "Answer": 10, - "Options": "a ) 10 sec , b ) 20 sec , c ) 15 sec , d ) 16 sec , e ) 14 sec", - "Correct": "a", - "Explanation": "\"explanation : time taken to cover the entire length = tot . dist / resultant speed = 150 / ( 12 + 3 ) = 10 sec answer : a\"" - }, - { - "Answer": 17000, - "Options": "a ) rs . 17029 , b ) rs . 17028 , c ) rs . 17000 , d ) rs . 17008 , e ) rs . 17067", - "Correct": "c", - "Explanation": "\"the simple interest for the first year is 10200 / 2 is rs . 5100 and compound interest for first year also is rs . 5100 . the compound interest for second year on rs . 5100 for one year so rate of the interest = ( 100 * 1530 ) / ( 5100 * 1 ) = 30 % p . a . so p = ( 100 * 10200 ) / ( 30 * 2 ) = rs . 17000 answer : c\"" - }, - { - "Answer": 700, - "Options": "a ) $ 500 , b ) $ 700 , c ) $ 800 , d ) $ 600 , e ) $ 300", - "Correct": "b", - "Explanation": "s . i = 600 - 500 = 100 p = $ 500 t = 2 years r = 100 * 100 / 500 * 2 = 10 % new rate = 10 + 10 = 20 % new s . i . = 500 * 20 * 2 / 100 = $ 200 new amount = 500 + 200 = $ 700 answer is b" - }, - { - "Answer": 35, - "Options": "a ) $ 40 , b ) $ 35 , c ) $ 50 , d ) $ 65 , e ) $ 15", - "Correct": "b", - "Explanation": "final number = original number - 30 % ( original number ) = 50 - 30 % ( 50 ) = 50 - 15 = $ 35 . answer b" - }, - { - "Answer": 20, - "Options": "a ) 24 % , b ) 20 % , c ) 30 % , d ) 36 % , e ) 40 %", - "Correct": "b", - "Explanation": "150 / ( 900 - 150 ) = 150 / 750 = 0.2 = 20 % . answer : b" - }, - { - "Answer": 24999.999999999993, - "Options": "a ) rs . 40000 , b ) rs . 36000 , c ) rs . 50000 , d ) rs . 25000 , e ) none of these", - "Correct": "d", - "Explanation": "\"savings 20 % - 5000 expenditure 80 % - 20000 total - 25000 answer : d\"" - }, - { - "Answer": 39.99999999999999, - "Options": "a ) 40 , b ) 50 , c ) 60 , d ) 70 , e ) 80", - "Correct": "a", - "Explanation": "50 % is 10 % - points above 40 % and 30 % - points below 80 % . thus the ratio of ` ` the first 30 games ' ' to ` ` remaining games ' ' is 3 : 1 . so the team played a total of 30 + 10 = 40 games . the answer is a ." - }, - { - "Answer": 116615.00000000001, - "Options": "a ) $ 257615 , b ) $ 437615 , c ) $ 127615 , d ) $ 117615 , e ) $ 157615", - "Correct": "d", - "Explanation": "\"the value of the machine after two years = 0.79 * 0.79 * 1 , 50,000 = $ 96,000 sp such that a profit of $ 24,000 is made = 93,615 + 24,000 = $ 1 , 17,615 d\"" - }, - { - "Answer": 91.2, - "Options": "a ) 96.9 , b ) 96.3 , c ) 91.2 , d ) 96.7 , e ) 96.21", - "Correct": "c", - "Explanation": "\"explanation : use the formula , cp = 100 \u00e2 \u20ac \u201c discount + brokerage % cp = 100 - 9 + 1 / 5 91.2 thus the cp is rs 91.2 . answer : c\"" - }, - { - "Answer": 2475, - "Options": "a ) 2660 , 1000 , b ) 3660 , 2000 , c ) 3000 , 4160 , d ) 2490 , 4150 , e ) 2475 , 4125", - "Correct": "e", - "Explanation": "\"let the numbers be x and y . then , 7.5 % of x = 12.5 % of y x = 125 * y / 75 = 5 * y / 3 . now , x - y = 1650 5 * y / 3 \u2013 y = 1650 2 * y / 3 = 1650 y = [ ( 1650 * 3 ) / 2 ] = 2475 . one number = 2475 , second number = 5 * y / 3 = 4125 . answer e .\"" - }, - { - "Answer": 2857.142857142857, - "Options": "a ) a ) 1500 , b ) b ) 2000 , c ) c ) 2857 , d ) d ) 3000 , e ) e ) 3100", - "Correct": "c", - "Explanation": "\"let the number of meters to be examined be x then , 0.07 % of x = 2 ( 7 / 100 ) * ( ( 1 / 100 ) * x = 2 x = 2857 answer is c\"" - }, - { - "Answer": 10.5, - "Options": "a ) 9.5 , b ) 10.5 , c ) 11.5 , d ) 12 , e ) 15", - "Correct": "b", - "Explanation": "\"10 % of 30 + 15 % of 50 30 * 10 / 100 + 50 * 15 / 100 3 + 7.5 = 10.5 answer b\"" - }, - { - "Answer": 17, - "Options": "a ) 15 % , b ) 17 % , c ) 21 % , d ) 19 % , e ) 25 %", - "Correct": "b", - "Explanation": "a = 30 % b = - 10 % profit % = 30 - 10 + ( - 300 / 100 ) = 17 % answer is b" - }, - { - "Answer": 6615, - "Options": "a ) $ 6715 , b ) $ 5615 , c ) $ 6415 , d ) $ 6615 , e ) $ 6315", - "Correct": "d", - "Explanation": "interest for 1 st year = 6000 * 5 / 100 = 300 interest for 2 nd year = 6300 * 5 / 100 = 315 total = 6000 + 300 + 315 = 6615 answer : d" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 25 , b ) 33 , c ) 50 , d ) 67 , e ) 75", - "Correct": "b", - "Explanation": "1 / a + 1 / b = 1 / t 1 / a + 1 / 12 = 1 / 8 ( 50 % more of 8 is 12 ) 1 / a = 1 / 24 machine a can produce 1600 units in 24 hrs , so it can produce 1600 * 8 / 24 = 533.33 units is 8 hrs . 533.33 is 33.33 % of 1600 . b is the answer" - }, - { - "Answer": 98.6842105263158, - "Options": "a ) 62.5 , b ) 62.0 , c ) 62.6 , d ) 62.1 , e ) 98.68", - "Correct": "e", - "Explanation": "\"cp = 75 sp = 75 * ( 125 / 100 ) = 93.75 mp * ( 95 / 100 ) = 93.75 mp = 98.68 answer : e\"" - }, - { - "Answer": 456, - "Options": "a ) 227 , b ) 358 , c ) 456 , d ) 787 , e ) 191", - "Correct": "c", - "Explanation": "\"600 * ( 80 / 100 ) * ( 95 / 100 ) = 456 answer : c\"" - }, - { - "Answer": 35, - "Options": "a ) 35 , b ) 60 , c ) 70 , d ) 80 , e ) 20", - "Correct": "a", - "Explanation": "\"a 700 * ( 25 / 100 ) = 175 - - - - 5 ? - - - - 1 = > rs . 35\"" - }, - { - "Answer": 124.75, - "Options": "a ) 113.2 , b ) 114 , c ) 114.75 , d ) 124 , e ) 124.75", - "Correct": "e", - "Explanation": "\"face value = rs . 9000 . dividend = 10.5 % . annual income = rs . 756 . brokerage per rs . 100 = rs . 0.25 . dividend is always paid on the face value of a share . face value * dividend / ( market value + brokerage per rs . 100 ) = annual income . = 9000 * 10.5 / 756 = market value of rs . 100 stock + brokerage per rs . 100 . = market value of rs . 100 stock + brokerage per rs . 100 = rs . 125 . = market value of rs . 100 stock = rs . 125 - re . 0.25 . = market value of rs . 100 stock = rs . 124.75 . answer : e\"" - }, - { - "Answer": 63100, - "Options": "a ) $ 52000 , b ) $ 61000 , c ) $ 71540 , d ) $ 63100 , e ) $ 56210", - "Correct": "d", - "Explanation": "let the sum be $ x c . i . = x ( 1 + 10 / 100 ) ^ 2 - x = 21 x / 100 s . i . = ( x * 10 * 2 ) / 100 = x / 5 c . i . - s . i . = ( 21 x / 100 ) - ( x / 5 ) = x / 100 x / 100 = 631 x = 63100 answer is d" - }, - { - "Answer": 945, - "Options": "a ) 960 , b ) 1060 , c ) 1,200 , d ) 945 , e ) none of these", - "Correct": "d", - "Explanation": "\"let the profit or loss be x and 812 \u2013 x = 448 + x or , x = 364 \u2044 2 = 182 \\ cost price of the article = 812 \u2013 x = 448 + x = 630 \\ sp of the article = 630 \u00d7 150 \u2044 100 = 945 answer d\"" - }, - { - "Answer": 50.00000000000002, - "Options": "a ) 4 % , b ) 18 % , c ) 36 % , d ) 40 % , e ) 50 %", - "Correct": "e", - "Explanation": "given w = 0.6 e , e = 0.6 y , z = 0.54 y , substituting , w = 2 / 3 z - - - - > z = 1.5 w and thus z is 50 % greater than w . e is the correct answer ." - }, - { - "Answer": 55.666666666666664, - "Options": "a ) rs . 49.17 , b ) rs . 51.03 , c ) rs . 54.17 , d ) rs . 55.66 , e ) none of the above", - "Correct": "d", - "Explanation": "\"50 * 10 = 500 67 * 5 = 335 835 / 15 = 55.66 answer : d\"" - }, - { - "Answer": 3000, - "Options": "a ) 8000 , b ) 6000 , c ) 5000 , d ) 4000 , e ) 3000", - "Correct": "e", - "Explanation": "\"simple way to solve this question is to use options . from si , we know that x * y = 15,000 . now , put the value of x = 3000 , we will have y = 5 % to calculate ci , now , we know 1 st year amount = 3000 + 5 % of 3000 = 3150 . 2 nd year , amount = 3150 + 5 % of 3150 = 3307.50 . we can see after 2 years interest = 3307.50 - 3000 = 307.50 . hence , it satisfies the question . hence e is the correct answer\"" - }, - { - "Answer": 0.6, - "Options": "a ) 0.6 d , b ) 0.7 d , c ) 0.5 d , d ) 0.8 d , e ) 0.9 d", - "Correct": "a", - "Explanation": "\"effective discount = a + b + ab / 100 = - 25 - 20 + ( - 25 ) ( - 20 ) / 100 = - 40 sale price = d * ( 1 - 40 / 100 ) sale price = . 6 * d answer ( a )\"" - }, - { - "Answer": 149.99999999999997, - "Options": "a ) $ 130 , b ) $ 140 , c ) $ 150 , d ) $ 160 , e ) $ 170", - "Correct": "c", - "Explanation": "\"0.8 * 0.9 * cost price = $ 108 cost price = $ 150 the answer is c .\"" - }, - { - "Answer": 2200, - "Options": "a ) rs . 950 , b ) rs . 1500 , c ) rs . 1000 , d ) rs . 2200 , e ) none of these", - "Correct": "d", - "Explanation": "explanation : sp of 1 metre cloth = 8200 / 40 = rs . 205 . cp of 1 metre cloth = rs . 205 \u2013 55 = rs . 150 cp on 40 metres = 150 x 40 = rs . 6000 profit earned on 40 metres cloth = rs . 8200 \u2013 rs . 6000 = rs . 2200 . answer : option d" - }, - { - "Answer": 21, - "Options": "a ) 20 hrs , b ) 21 hrs , c ) 22 hrs , d ) 23 hrs , e ) 24 hrs", - "Correct": "b", - "Explanation": "1 / 16 in 17 hrs so 1 / 8 in 18 hrs 1 / 4 in 19 hrs 1 / 2 in 20 hrs and complete tank in 21 hrs answer : b" - }, - { - "Answer": 624, - "Options": "a ) $ 603 , b ) $ 624 , c ) $ 625 , d ) $ 626 , e ) $ 627", - "Correct": "b", - "Explanation": "\"explanation : cash price = $ 26 000 deposit = 10 % \u00e3 \u2014 $ 26 000 = $ 2600 loan amount = $ 26000 \u00e2 \u02c6 \u2019 $ 2600 number of payments = 60 = $ 23400 i = p * r * t / 100 i = 14040 total amount = 23400 + 14040 = $ 37440 regular payment = total amount / number of payments = 624 answer : b\"" - }, - { - "Answer": 5.333333333333333, - "Options": "a ) 3.33 % , b ) 5.93 % , c ) 4.33 % , d ) 5.33 % , e ) 6.33 %", - "Correct": "d", - "Explanation": "\"200 = ( 750 * 5 * r ) / 100 r = 5.33 % answer : d\"" - }, - { - "Answer": 24.347826086956523, - "Options": "a ) 3.0 , b ) 3.36 , c ) 24.34 , d ) 25.0 , e ) 31.36", - "Correct": "c", - "Explanation": "\"cost price * 1.15 = selling price - - > cost price * 1.15 = $ 28 - - > cost price = $ 24.34 . answer : c .\"" - }, - { - "Answer": 625, - "Options": "a ) 625 , b ) 827 , c ) 657 , d ) 726 , e ) 634", - "Correct": "a", - "Explanation": "\"let the sum be rs . x . then , [ x ( 1 + 4 / 100 ) 2 - x ] = ( 676 / 625 x - x ) = 51 / 625 x s . i . = ( x * 4 * 2 ) / 100 = 2 x / 25 51 x / 625 - 2 x / 25 = 1 or x = 625 . answer : a\"" - }, - { - "Answer": 16, - "Options": "a ) 16 , b ) 24 , c ) 20 , d ) 32 , e ) none of these", - "Correct": "a", - "Explanation": "explanation : = > 20 / 100 * 30 - 25 / 100 * x = 2 = > x / 4 = 4 so x = 16 answer : a" - }, - { - "Answer": 1200, - "Options": "a ) 1100 , b ) 800 , c ) 1400 , d ) 1200 , e ) none of them", - "Correct": "d", - "Explanation": "\"let c ' s capital = rs . x . then , b ' s capital = rs . ( 2 / 3 ) x a \u2019 s capital = rs . ( 3 x ( 2 / 3 ) . x ) = rs . 2 x . ratio of their capitals = 2 x : ( 2 / 3 ) x : x = 6 : 2 : 3 . hence , b ' s share = rs . ( 6600 x ( 2 / 11 ) ) = rs . 1200 . answer is d .\"" - }, - { - "Answer": 3, - "Options": "a ) 1 , b ) 3 , c ) 6 , d ) 7 , e ) 10", - "Correct": "b", - "Explanation": "\"b 40 * ( 40 / 100 ) = 16 - - - 64 ? - - - 12 = > rs . 3\"" - }, - { - "Answer": 80, - "Options": "a ) 80 , b ) 95 , c ) 105 , d ) 120 , e ) 210", - "Correct": "a", - "Explanation": "\"20 % of the workerswithoutretirement plan are women , this means 80 % of the workerswithoutretirement plan are men right ? makes 100 % = no retirement plan . then 40 % of those wo have a retirement plan are men , which means 60 % of those who have a retirement plan are women . these percentages are always refering to the subgroupsretirement plan = yesandno retirement plan . make the total workers equal x and work from there and it should be fine > x / 3 have no retirement plan at all . i struggled with the question a lot , it was hard for me although usually i have no problems with sets questions like this . i believe it must be a 700 + question . yes , you are right . i read the question incorrectly ! i glazed overnotfor some reason . if 20 % of the workers who do not have a retirement plan are women , 80 % who do not have retirement plan are men . also 40 % who do have retirement plan are men . since 1 / 3 do not have retirement plan and 2 / 3 do have , it becomes a simple weighted average question . cavg = ( 80 * 1 + 50 * 2 ) / 3 = 60 % are men total = 120 * 100 / 60 = 200 no . of women = 200 - 120 = 80 a\"" - }, - { - "Answer": 490, - "Options": "a ) 228 , b ) 744 , c ) 490 , d ) 199 , e ) 231", - "Correct": "c", - "Explanation": "\"w = 70 % l = 30 % 70 % - 30 % = 40 % 40 % - - - - - - - - 280 70 % - - - - - - - - ? = > 280 / 40 * 70 = 490 answer : c\"" - }, - { - "Answer": 350, - "Options": "a ) s . 345 , b ) s . 350 , c ) s . 352 , d ) s . 362 , e ) s . 368", - "Correct": "b", - "Explanation": "suresh : rohan : sudhir ratio of their investments = 18000 \u00d7 12 : 12000 \u00d7 9 : 9000 \u00d7 8 = 6 : 3 : 2 the difference between rohan \u2019 s and sudhir \u2019 s share = 1 share : . i . e . = rs . 3850 \u00d7 1 / 11 = rs . 350 . b" - }, - { - "Answer": 53, - "Options": "a ) 50 % , b ) 53 % , c ) 54 % , d ) 55 % , e ) 57 %", - "Correct": "b", - "Explanation": "\"registered voters = 100 d = 60 r = 40 75 % of d ( 60 ) = 45 20 % of r ( 40 ) = 8 total voter % of registered voters = 53 / 100 53 % answer : b\"" - }, - { - "Answer": 52.17391304347826, - "Options": "a ) 38 , b ) 39 , c ) 40 , d ) 41 , e ) 52", - "Correct": "e", - "Explanation": "\"1.15 x = 60 - - > 23 / 20 * x = 60 - - > x = 60 * 20 / 23 = 1200 / 23 = ~ 52 . answer : e .\"" - }, - { - "Answer": 48, - "Options": "a ) 46 , b ) 47 , c ) 48 , d ) 49 , e ) 50", - "Correct": "c", - "Explanation": "\"800 * ( 30 / 100 ) = 240 - - - - 5 ? - - - - 1 = > rs . 48 answer : c\"" - }, - { - "Answer": 4830, - "Options": "a ) $ 3500 , b ) $ 5000 , c ) $ 4830 , d ) $ 7000 , e ) $ 10000", - "Correct": "c", - "Explanation": "\"saving = ( 42 - 28 ) % of 34500 = 4830 . answer : c\"" - }, - { - "Answer": 119.9999999999999, - "Options": "a ) 60 , b ) 90 , c ) 120 , d ) 150 , e ) 180", - "Correct": "c", - "Explanation": "\"70 % is 30 % - points above 40 % and 10 % - points below 80 % . thus the ratio of ` ` the first 30 games ' ' to ` ` remaining games ' ' is 1 : 3 . so the team played a total of 30 + 90 = 120 games . the answer is c .\"" - }, - { - "Answer": 500, - "Options": "a ) 550 , b ) 500 , c ) 250 , d ) 300 , e ) 400", - "Correct": "b", - "Explanation": "\"by investing $ 136 , income obtained = $ 10 . by investing $ 6800 , income obtained = $ [ ( 10 / 136 ) * 6800 ] = $ 500 . answer b .\"" - }, - { - "Answer": 26.666666666666668, - "Options": "a ) $ 45.10 , b ) $ 34.31 , c ) $ 28.44 , d ) $ 26.66 , e ) $ 65.23", - "Correct": "d", - "Explanation": "\"let x be the price before the first discount . the price after the first discount is x - 25 % x ( price after first discount ) a second discount of 25 % of the discounted price after which the final price is 15 ( x - 25 % x ) - 25 % ( x - 25 % x ) = 15 solve for x x = $ 26.66 correct answer d\"" - }, - { - "Answer": 23.931623931623932, - "Options": "a ) 3.0 , b ) 3.36 , c ) 23.93 , d ) 25.0 , e ) 31.36", - "Correct": "c", - "Explanation": "\"cost price * 1.17 = selling price - - > cost price * 1.17 = $ 28 - - > cost price = $ 23.93 . answer : c .\"" - }, - { - "Answer": 60, - "Options": "a ) 20 % , b ) 40 % , c ) 50 % , d ) 60 % , e ) 70 %", - "Correct": "d", - "Explanation": "70 + 55 + 35 = 160 % the number is 60 % above 100 % because 60 % of the counties were counted twice . the answer is d ." - }, - { - "Answer": 21, - "Options": "a ) rs . 19 , b ) rs . 22 , c ) rs . 20 , d ) rs . 21 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : bg = ( td ) 2 / pw = 202 / 400 = rs . 1 bg = bd \u2013 td = > 1 = bd - 20 = > bd = 1 + 20 = rs . 21 answer : option d\"" - }, - { - "Answer": 416.34782608695656, - "Options": "a ) rs . 432 , b ) rs . 422 , c ) rs . 416 , d ) rs . 442 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : f = rs . 2660 td = rs . 360 pw = f - td = 2660 - 360 = rs . 2300 true discount is the simple interest on the present value for unexpired time = > simple interest on rs . 2300 for unexpired time = rs . 360 banker ' s discount is the simple interest on the face value of the bill for unexpired time = simple interest on rs . 2160 for unexpired time = 360 / 2300 \u00d7 2660 = 0.16 \u00d7 2660 = rs . 416 answer : option c\"" - }, - { - "Answer": 25, - "Options": "a ) 20 , b ) 15 , c ) 25 , d ) 18 , e ) 19", - "Correct": "c", - "Explanation": "\"explanation : ( 100 + g ) / ( 100 + x ) = true measure / faulty measure x = 0 true measure = 1000 faulty measure = 800 100 + g / 100 + 0 = 1000 / 800 100 + g = 5 / 4 * 100 g = 25 answer : c\"" - }, - { - "Answer": 150, - "Options": "a ) 150 % , b ) 134 1 / 3 % , c ) 135 1 / 3 % , d ) 140 1 / 3 % , e ) 143 1 / 3 %", - "Correct": "a", - "Explanation": "\"120 / 80 = 3 / 2 3 / 2 \u00d7 100 = 300 / 2 = 150 % a\"" - }, - { - "Answer": 212.13203435596427, - "Options": "a ) 125 , b ) 150 , c ) 212 , d ) 250 , e ) 500", - "Correct": "c", - "Explanation": "90 = x / 100 * 20 / 100 * x = > x ^ 2 = 9 * 10000 / 2 = > x = 212 c" - }, - { - "Answer": 150, - "Options": "a ) 237 , b ) 126 , c ) 971 , d ) 611 , e ) 150", - "Correct": "e", - "Explanation": "\"explanation : answer : e\"" - }, - { - "Answer": 699.9998833333527, - "Options": "a ) 588 apples , b ) 742 apples , c ) 750 apples , d ) 600 apples , e ) 700 apples", - "Correct": "e", - "Explanation": "\"suppose originally he had x apples . then , ( 100 - 40 ) % of x = 420 . 60 / 100 x x = 420 x = ( 420 x 100 ) / 60 = 700 . answer e\"" - }, - { - "Answer": 26, - "Options": "a ) 18 , b ) 16 , c ) 26 , d ) 17 , e ) 11", - "Correct": "c", - "Explanation": "explanation : 1500 - - - - 390 100 - - - - ? = > 26 % answer : c" - }, - { - "Answer": 18.75, - "Options": "a ) 23.5 % , b ) 32.5 % , c ) 35 % , d ) 18.75 % , e ) 20 %", - "Correct": "d", - "Explanation": "spend on rent = 1 / 4 spend on food and beverage = 1 / 4 of remaining = 1 / 4 * 3 / 4 = 3 / 16 so 3 / 16 = 18.75 % d is the answer" - }, - { - "Answer": 2522.0000000000036, - "Options": "a ) 2875 , b ) 2654 , c ) 2645 , d ) 2456 , e ) 2522", - "Correct": "e", - "Explanation": "principal = rs . 16000 ; time = 9 months = 3 quarters ; rate = 20 % per annum = 5 % per quarter . amount = rs . [ 16000 x ( 1 + ( 5 / 100 ) ) 3 ] = rs . 18522 . ci . = rs . ( 18522 - 16000 ) = rs . 2522 answer : e" - }, - { - "Answer": 280, - "Options": "a ) rs . 28 , b ) rs . 280 , c ) rs . 140 , d ) rs . 70 , e ) rs . 80", - "Correct": "b", - "Explanation": "x * ( 85 / 100 ) = ( 480 - x ) 119 / 100 x = 280 answer : b" - }, - { - "Answer": 0.40000000000000013, - "Options": "a ) $ 0.32 , b ) $ 0.40 , c ) $ 0.45 , d ) $ 0.48 , e ) $ 0.54", - "Correct": "b", - "Explanation": "\"if steve and dennison submit separate orders , each would be smaller than 100 photocopies , so no discount . each would pay ( 80 ) * ( $ 0.02 ) = $ 1.60 , or together , a cost of $ 3.20 - - - that ' s the combined no discount cost . if they submit things together as one big order , they get a discount off of that $ 3.20 price - - - - 25 % or 1 / 4 of that is $ 0.80 , the discount on the combined sale . they each effective save half that amount , or $ 0.40 . answer = ( b ) .\"" - }, - { - "Answer": 50, - "Options": "a ) 20 % , b ) 25 % , c ) 50 % , d ) 75 % , e ) 100 %", - "Correct": "c", - "Explanation": "let the c . p . = $ 2 x then s . p . = $ 3 x then , gain = 3 x - 2 x = $ x gain % = x / 2 x * 100 = 50 % answer is c" - }, - { - "Answer": 210, - "Options": "a ) 83.33 , b ) 210 , c ) 112 , d ) 120 , e ) 160", - "Correct": "b", - "Explanation": "\"solution to earn rs . 10 , money invested = rs . 100 . to earn rs . 21 , money invested = rs . ( 100 / 10 x 21 ) = rs . 210 . \u00e2 \u02c6 \u00b4 market value of rs . 100 stock = rs . 210 answer b\"" - }, - { - "Answer": 12, - "Options": "a ) 15 % , b ) 12 % , c ) 8 % , d ) 7 % , e ) 5 %", - "Correct": "b", - "Explanation": "\"explanation : simple interest for 3 years = ( rs . 12005 - rs . 9800 ) = rs . 2205 simple interest for 5 years = 22053 \u00d7 5 = rs . 3675 principal ( p ) = ( rs . 9800 - rs . 3675 ) = rs . 6125 r = 100 \u00d7 si / pt = 100 \u00d7 3675 / 6125 \u00d7 5 = 12 % answer : option b\"" - }, - { - "Answer": 120, - "Options": "a ) rs . 120 , b ) rs . 60 , c ) rs . 128 , d ) rs . 130 , e ) rs . 140", - "Correct": "a", - "Explanation": "\"solution for an income of rs . 8 , investment = rs . 96 . for an income of rs . 10 , investment = rs . ( 96 / 8 x 10 ) = rs . 120 answer a\"" - }, - { - "Answer": 0.54, - "Options": "a ) 0.34 , b ) 0.44 , c ) 0.54 , d ) 0.64 , e ) 0.74", - "Correct": "c", - "Explanation": "\"say there are 100 people in that group , then there would be 0.9 * 0.60 * 100 = 54 women lawyers , which means that the probability that the member selected is a woman lawyer is favorable / total = 54 / 100 . answer : c\"" - }, - { - "Answer": 10210.252500000002, - "Options": "a ) s . 9621 , b ) s . 6921 , c ) s . 10210 , d ) s . 6261 , e ) s . 6361", - "Correct": "c", - "Explanation": "\"c . i = p ( 1 + r / 100 ) ^ n = 8000 ( 1 + 5 / 100 ) ^ 5 = rs 10210 answer : c\"" - }, - { - "Answer": 8, - "Options": "a ) 3 , b ) 5 , c ) 8 , d ) 9 , e ) 10", - "Correct": "c", - "Explanation": "\"solution speed in still water = 1 / 2 ( 11 + 5 ) km / hr = 8 kmph . answer c\"" - }, - { - "Answer": 180, - "Options": "a ) 120 , b ) 130 , c ) 150 , d ) 180 , e ) 250", - "Correct": "d", - "Explanation": "\"( 1 / 4 ) * ( 1 / 3 ) * ( 2 / 5 ) * x = 15 then x = 15 * 30 = 450 40 % of 450 = 180 answer d\"" - }, - { - "Answer": 45.08000000000001, - "Options": "a ) 44 , b ) 45 , c ) 46 , d ) 47 , e ) 48", - "Correct": "b", - "Explanation": "\"- a + b + ( ( - a ) ( b ) / 100 ) = - 22 + 86 + ( - 22 * 86 ) / 100 = - 22 + 86 - 19 = 45 answer : b\"" - }, - { - "Answer": 3300, - "Options": "a ) $ 2400 , b ) $ 3300 , c ) $ 6000 , d ) $ 6400 , e ) $ 9600", - "Correct": "b", - "Explanation": "\"let x be the monthly salary 15 % of 1 / 5 * x = 99 x = 3300 answer b\"" - }, - { - "Answer": 63.0000000000001, - "Options": "a ) a ) 148 , b ) b ) 210 , c ) c ) 63 , d ) d ) 248 , e ) e ) 258", - "Correct": "c", - "Explanation": "3 / 7 x \u2013 40 / 100 x = 12 x = 35 * 12 35 * 12 * 30 / 100 = 126 / 2 = 63 answer : c" - }, - { - "Answer": 22, - "Options": "a ) 18 , b ) 99 , c ) 22 , d ) 26 , e ) 71", - "Correct": "c", - "Explanation": "\"( 70 / 100 ) * 100 \u2013 ( 60 / 100 ) * 80 70 - 48 = 22 answer : c\"" - }, - { - "Answer": 20.000000000000018, - "Options": "a ) 20 % , b ) 13.50 % , c ) 14 % , d ) 14.50 % , e ) none", - "Correct": "a", - "Explanation": "\"sol . let c . p . = rs . 100 . then , marked price = rs . 160 . s . p . = 75 % of rs . 160 = rs . 120 . \u2234 gain % = 20 % . answer a\"" - }, - { - "Answer": 70000, - "Options": "a ) 30000 , b ) 40000 , c ) 50000 , d ) 60000 , e ) 70000", - "Correct": "e", - "Explanation": "\"let first parrt is x and second part is y then x + y = 80000 - - - - - - - - - - eq 1 total profit = profit on x + profit on y 9000 = ( x * 10 * 1 ) / 100 + ( y * 20 * 1 ) / 100 90000 = x + 2 y - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - eq 2 90000 = 80000 + y so y = 10000 then x = 80000 - 10000 = 70000 first part = 70000 answer : e\"" - }, - { - "Answer": 11.8125, - "Options": "a ) rs 8.81 , b ) rs 9.81 , c ) rs 10.81 , d ) rs 11.81 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : 85 : 9 = 105 : x x = ( 9 \u00d7 105 / 85 ) = rs 11.81 option d\"" - }, - { - "Answer": 2400, - "Options": "a ) 2000 , b ) 2100 , c ) 2200 , d ) 2300 , e ) 2400", - "Correct": "e", - "Explanation": "1 percent for 3 years = 72 1 percent for 1 year = 24 = > 100 percent = 2400 answer : e" - }, - { - "Answer": 500, - "Options": "a ) rs . 550 , b ) rs . 650 , c ) rs . 600 , d ) rs . 500 , e ) rs . 700", - "Correct": "d", - "Explanation": "\"explanation : 90 = ( p * 4 * 9 / 2 ) / 100 90 = 36 p / 100 p = 500 answer : option d\"" - }, - { - "Answer": 700, - "Options": "a ) 500 , b ) 600 , c ) 700 , d ) 800 , e ) none of these", - "Correct": "c", - "Explanation": "\"difference in s . i . = p \u00d7 t / 100 ( r 1 \u2212 r 2 ) \u21d2 56 = p \u00d7 4 \u00d7 2 / 100 ( \u2235 r 1 - r 2 = 2 ) \u21d2 p = 56 \u00d7 100 / 4 \u00d7 2 = 700 answer c\"" - }, - { - "Answer": 90000, - "Options": "a ) 70000 , b ) 60000 , c ) 80000 , d ) 90000 , e ) 50000", - "Correct": "d", - "Explanation": "\"a : b : c = 30000 : 45000 : 50000 = 6 : 9 : 10 let total profit = p then p \u00e3 \u2014 10 / 25 = 36000 p = ( 36000 \u00e3 \u2014 25 ) / 10 = 90000 answer is d .\"" - }, - { - "Answer": 3, - "Options": "a ) 2 % , b ) 3 % , c ) 4 % , d ) 5 % , e ) 6 %", - "Correct": "b", - "Explanation": "\"difference in c . i . and s . i for 2 years = $ 609 - $ 600 = $ 9 s . i for one year = $ 300 s . i . on $ 300 for 1 year = $ 9 rate = ( 100 * 9 ) / ( 300 ) = 3 % the answer is b .\"" - }, - { - "Answer": 300, - "Options": "a ) 3 , b ) 30 , c ) 300 , d ) none of these , e ) can not be determined", - "Correct": "c", - "Explanation": "\"answer let one - third of 1206 is n % of 134 . \u2235 1206 / 3 = ( n x 134 ) / 100 \u2234 n = ( 402 x 100 ) / 134 = 300 correct option : c\"" - }, - { - "Answer": 990, - "Options": "a ) 430 , b ) 990 , c ) 550 , d ) 590 , e ) 600", - "Correct": "b", - "Explanation": "\"cost price = 810 / 90 x 100 = 900 to gain 10 % = 900 x 10 / 100 = 90 sp = cp + gain = 900 + 90 = 990 answer : b\"" - }, - { - "Answer": 65000, - "Options": "a ) 30000 , b ) 50000 , c ) 40000 , d ) 20000 , e ) 65000", - "Correct": "e", - "Explanation": "\"let the amount invested by q = q 52000 : q = 4 : 5 \u21d2 52000 \u00d7 5 = 4 q \u21d2 q = ( 52000 \u00d7 5 ) / 4 = 65000 answer is e .\"" - }, - { - "Answer": 4320, - "Options": "a ) rs . 1000 , b ) rs . 2596 , c ) rs . 4320 , d ) rs . 6489 , e ) rs . 4789", - "Correct": "c", - "Explanation": "explanation : ramesh ' s monthly income = rs . 15000 he spends 40 % on food . the total money spent on food = 40 / 100 * 15000 = rs . 6000 now , his monthly remaining income = rs . 15000 \u2013 rs . 6000 = rs . 9000 out of rs . 9000 , he spends 20 % on medicines . the total money spent on medicines = 20 / 100 * 9000 = rs . 1800 now , his monthly remaining income = rs . 9000 \u2013 rs . 1800 = rs . 7200 out of rs . 7200 , he saves 600 % . amount saved = 60 / 100 * 7200 = rs . 4320 answer : c" - }, - { - "Answer": 41.039999999999985, - "Options": "a ) 41 , b ) 45 , c ) 46 , d ) 47 , e ) 48", - "Correct": "a", - "Explanation": "\"- a + b + ( ( - a ) ( b ) / 100 ) = - 18 + 72 + ( - 18 * 72 ) / 100 = - 18 + 72 - 13 = 41 answer : a\"" - }, - { - "Answer": 1.5, - "Options": "a ) 1.5 , b ) 1.6 , c ) 1.7 , d ) 1.8 , e ) 1.9", - "Correct": "a", - "Explanation": "explanation : question of this type looks a bit typical , but it is too simple , as below . . . it will be 5 * 30 / 100 = 1.5 answer : option a" - }, - { - "Answer": 51724.137931034486, - "Options": "a ) rs . 21724.14 , b ) rs . 31724.14 , c ) rs . 51724.14 , d ) rs . 61724.14 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : s . p = rs . 54,000 . gain earned = 20 % c . p = rs . [ 100 / 120 \u00e3 \u2014 54000 ] = rs . 45000 this is the price the first person sold to the second at at loss of 13 % . now s . p = rs . 45000 and loss = 13 % c . p . rs . [ 100 / 87 \u00e3 \u2014 45000 ] = rs . 51724.14 . correct option : c\"" - }, - { - "Answer": 3.84, - "Options": "a ) 1.34 , b ) 2.84 , c ) 3.84 , d ) 4.34 , e ) 5", - "Correct": "c", - "Explanation": "\"40 * ( 40 / 100 ) = 16 - - - 50 ? - - - 12 = > rs . 3.84 answer : c\"" - }, - { - "Answer": 48.148148148148145, - "Options": "a ) 32.5 , b ) 35 , c ) 48 , d ) 65 , e ) 67.5", - "Correct": "c", - "Explanation": "\"1 ) let the price of jacket initially be $ 100 . 2 ) then it is decreased by 25 % , therefore bringing down the price to $ 75 . 3 ) again it is further discounted by 10 % , therefore bringing down the price to $ 67.5 . 4 ) now 67.5 has to be added by x % in order to equal the original price . 67.5 + ( x % ) 67.5 = 100 . solving this eq for x , we get x = 48.1 answer is c .\"" - }, - { - "Answer": 300, - "Options": "a ) 130 % , b ) 300 % , c ) 150 % , d ) 160 % , e ) 170 %", - "Correct": "b", - "Explanation": "explanation : let the c . p . = x , then s . p . = ( 150 / 100 ) x = 3 x / 2 new s . p . = 2 ( 3 x / 2 ) = 3 x / 1 profit = 3 x / 1 - x = 3 x / 1 profit % = ( profit / c . p . ) * 100 = > ( 3 x / 1 ) * ( 1 / x ) * 100 = 300 % option b" - }, - { - "Answer": 625, - "Options": "a ) rs 600 , b ) rs 625 , c ) rs 650 , d ) rs 675 , e ) none of these", - "Correct": "b", - "Explanation": "explanation : let the sum be p s . i . = p \u2217 4 \u2217 2 / 100 = 2 p / 25 c . i . = p ( 1 + 4 / 100 ) 2 \u2212 p = 676 p / 625 \u2212 p = 51 p / 625 as , c . i . - s . i = 1 = > 51 p / 625 \u2212 2 p / 25 = 1 = > 51 p \u2212 50 p / 625 = 1 p = 625 option b" - }, - { - "Answer": 70, - "Options": "a ) rs . 70 , b ) rs . 36 , c ) rs . 54 , d ) rs . 50 , e ) none", - "Correct": "a", - "Explanation": "\"solution t . d = [ b . g x 100 / r x t ] = rs . ( 8.4 x 100 / 12 x 1 ) = rs . 70 . answer a\"" - }, - { - "Answer": 603, - "Options": "a ) 603 , b ) 703 , c ) 800 , d ) 903 , e ) 1000", - "Correct": "a", - "Explanation": "\"let the capital of pyarelal be x , then capital of ashok = x / 9 so ratio of investment of pyarelal and ashok = x : x / 9 = 9 x : x hence out of the total loss of 670 , loss of pyarelal = 670 * 9 x / 10 x = 603 answer : a\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 16.5 % , b ) 20 % , c ) 33 % , d ) 55 % , e ) 65 %", - "Correct": "c", - "Explanation": "\"the amount by which employment costs rose is equal to 0.035 ( salary costs + fringe benefit costs ) ; on the other hand the amount by which employment costs rose is equal to 0.03 * salary costs + 0.045 * fringe benefit costs ; so , 35 ( s + f ) = 30 s + 45 f - - > s = 2 f - - > f / s = 1 / 2 - - > f / ( s + f ) = 1 / ( 1 + 2 ) = 1 / 3 = 0.33 . answer : c .\"" - }, - { - "Answer": 1978, - "Options": "a ) 1240 , b ) 1120 , c ) 1190 , d ) 1978 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : td = ( bg \u00d7 100 ) / tr = ( 828 \u00d7 100 ) / ( 6 \u00d7 12 ) = rs . 1150 bg = bd \u2013 td = > 828 = bd - 1150 = > bd = 1978 answer : option d\"" - }, - { - "Answer": 5, - "Options": "a ) 5 % , b ) 7 % , c ) 9 % , d ) 2 % , e ) 4 %", - "Correct": "a", - "Explanation": "\"160 = ( 180 * 4 * r ) / 100 r = 5 % answer : a\"" - }, - { - "Answer": 8000, - "Options": "a ) 2999 , b ) 8000 , c ) 6000 , d ) 2889 , e ) 6612", - "Correct": "b", - "Explanation": "\"x * 12 : 2 x * 6 : 3 x * 4 1 : 1 : 1 1 / 3 * 24000 = 8000 answer : b\"" - }, - { - "Answer": 95, - "Options": "a ) 80 % , b ) 105 % , c ) 120 % , d ) 124.2 % , e ) 95 %", - "Correct": "e", - "Explanation": "\"the profit 0 f 2009 interms of 2008 = 0.95 * 10 / 10 * 100 = 95 % e\"" - }, - { - "Answer": 1764, - "Options": "a ) rs . 1386 , b ) rs . 1764 , c ) rs . 1575 , d ) rs . 2268 , e ) none of these", - "Correct": "b", - "Explanation": "\"solution 32.5 let p . w . be rs . x . then , s . i . on rs . x at 16 % for 9 months = rs . 189 . \u2234 x 16 x 9 / 12 x 1 / 100 = 189 or x = 1575 . \u2234 p . w . = rs . 1575 . \u2234 sum due = p . w . + t . d . = rs . ( 1575 + 189 ) = rs . 1764 . answer b\"" - }, - { - "Answer": 35.9375, - "Options": "a ) 31.5 % , b ) 35.9 % , c ) 37.5 % , d ) 39.5 % , e ) 30.5 %", - "Correct": "b", - "Explanation": "\"let marked price = $ 100 . then , c . p . = $ 64 , s . p . = $ 87 gain % = 23 / 64 * 100 = 35.9 % . b\"" - }, - { - "Answer": 8000, - "Options": "a ) 7500 , b ) 2028 , c ) 2775 , d ) 5496 , e ) 8000", - "Correct": "e", - "Explanation": "\"25 % - - - - - - - - - - - l 75 % - - - - - - - - - - - w - - - - - - - - - - - - - - - - - - 50 % - - - - - - - - - - 4000 100 % - - - - - - - - - ? = > 8000 answer : e\"" - }, - { - "Answer": 8.333333333333337, - "Options": "a ) 50 / 9 , b ) 50 / 7 , c ) 50 / 6 , d ) 50 / 8 , e ) 50 / 3", - "Correct": "c", - "Explanation": "\"let sum = x . then , amount = 7 x / 6 s . i . = 7 x / 6 - x = x / 6 ; time = 2 years . rate = ( 100 * x ) / ( x * 6 * 2 ) = 50 / 6 % . answer : c\"" - }, - { - "Answer": 3.571428571428571, - "Options": "a ) 4 % , b ) 3.57 % , c ) 2 6 / 7 % , d ) 5 % , e ) 6 %", - "Correct": "b", - "Explanation": "\"explanation : 250 = ( 1750 x 4 xr ) / 100 r = 3.57 % answer : option b\"" - }, - { - "Answer": 6.09, - "Options": "a ) 6.09 % , b ) 6.08 % , c ) 6.1 % , d ) 6.07 % , e ) 6.05 %", - "Correct": "a", - "Explanation": "\"amount of rs . 100 for 1 year when compounded half - yearly = 100 x ( 1 + 3 / 100 ) ^ 2 = 106.09 therefore effective rate = ( 106.09 - 100 ) % = 6.09 % answer a ) 6.09 %\"" - }, - { - "Answer": 60, - "Options": "a ) s . 40 , b ) s . 46 , c ) s . 49 , d ) s . 41 , e ) s . 60", - "Correct": "e", - "Explanation": "\"1200 * ( 25 / 100 ) = 300 - - - - 5 ? - - - - 1 = > rs . 60 answer : e\"" - }, - { - "Answer": 18.941176470588236, - "Options": "a ) rs . 11.81 , b ) rs . 12 , c ) rs . 18.94 , d ) rs . 12.31 , e ) none", - "Correct": "c", - "Explanation": "\"solution 85 : 14 = 115 : x x = ( 14 \u00e3 \u2014 115 / 85 ) = rs . 18.94 hence , s . p per kg = rs . 18.94 answer c\"" - }, - { - "Answer": 67.2, - "Options": "a ) 105 , b ) 67 , c ) 80 , d ) 60 , e ) 100", - "Correct": "b", - "Explanation": "\"final number = initial number + 12 % ( original number ) = 60 + 12 % ( 60 ) = 60 + 7 = 67 answer b\"" - }, - { - "Answer": 2.777777777777779, - "Options": "a ) 50 / 9 , b ) 50 / 13 , c ) 50 / 17 , d ) 25 / 9 , e ) 5 5 / 1", - "Correct": "d", - "Explanation": "\"let sum = x . then , amount = 7 x / 6 s . i . = 7 x / 6 - x = x / 6 ; time = 6 years . rate = ( 100 * x ) / ( x * 6 * 6 ) = 25 / 9 % . answer : d\"" - }, - { - "Answer": 50, - "Options": "a ) 50 , b ) 45 , c ) 150 , d ) 450 , e ) 500", - "Correct": "a", - "Explanation": "let 0.3 % of x = 0.15 . then , 0.30 * x / 100 = 0.15 x = [ ( 0.15 * 100 ) / 0.3 ] = 50 . answer is a ." - }, - { - "Answer": 435, - "Options": "a ) rs . 435 , b ) rs . 350 , c ) rs . 275 , d ) rs . 425 , e ) none of these", - "Correct": "a", - "Explanation": "average would be : 350 = ( 265 + x ) / 2 on solving , x = 435 . answer : a" - }, - { - "Answer": 500, - "Options": "a ) 220 , b ) 420 , c ) 250 , d ) 700 , e ) 500", - "Correct": "e", - "Explanation": "e c . p . be rs . x . then , 20 % of x = 1100 20 / 100 * x = 1100 = > x = 5500 c . p . = rs . 5500 , expenditure on repairs = 10 % actual price = rs . ( 100 * 5500 ) / 110 = rs . 5000 expenditures on repairs = ( 5500 - 5000 ) = rs . 500 ." - }, - { - "Answer": 1.2356, - "Options": "a ) 0.12356 , b ) 1.2356 , c ) 12.356 , d ) 0.012356 , e ) 0.0012356", - "Correct": "b", - "Explanation": "\"soln : - 0.01 % of 12,356 = 0 . 011000.01100 x 12,356 = 1100 \u2217 1001100 \u2217 100 x 12,356 = 12,356100 \u2217 10012,356100 \u2217 100 = 1.2356 answer : b\"" - }, - { - "Answer": 70.94017094017094, - "Options": "a ) 70.9 , b ) 75 , c ) 48 , d ) 65 , e ) 67.5", - "Correct": "a", - "Explanation": "\"1 ) let the price of jacket initially be $ 100 . 2 ) then it is decreased by 35 % , therefore bringing down the price to $ 65 . 3 ) again it is further discounted by 10 % , therefore bringing down the price to $ 58.5 4 ) now 58.5 has to be added byx % in order to equal the original price . 58.5 + ( x % ) 58.5 = 100 . solving this eq for x , we get x = 70.9 ans is a .\"" - }, - { - "Answer": 10, - "Options": "a ) 4 : 1 , b ) 10 : 1 , c ) 3 : 2 , d ) 2 : 3 , e ) 2 : 5", - "Correct": "b", - "Explanation": "ratio = 60000 / 6000 = 10 : 1 answer : b" - }, - { - "Answer": 1500, - "Options": "a ) s . 1000 , b ) s . 1009 , c ) s . 1007 , d ) s . 1006 , e ) s . 1500", - "Correct": "e", - "Explanation": "explanation : 90 % 104 % - - - - - - - - 14 % - - - - 210 100 % - - - - ? = > rs . 1500 answer : e" - }, - { - "Answer": 21, - "Options": "a ) 21 , b ) 28 , c ) 99 , d ) 77 , e ) 66", - "Correct": "a", - "Explanation": "\"speed ratio = 1 : 7 / 6 = 6 : 7 time ratio = 7 : 6 1 - - - - - - - - 7 3 - - - - - - - - - ? = 21 m answer : a\"" - }, - { - "Answer": 187, - "Options": "a ) a ) 125 , b ) b ) 627 , c ) c ) 187 , d ) d ) 721 , e ) e ) 159", - "Correct": "c", - "Explanation": "\"40 + 28 + 10 = 78 % 100 \u2013 78 = 22 % 850 * 22 / 100 = 187 answer : c\"" - }, - { - "Answer": 1200, - "Options": "a ) s . 600 , b ) s . 800 , c ) s . 500 , d ) s . 900 , e ) s . 1200", - "Correct": "e", - "Explanation": "let the cost of one toy = x . then , cost of 18 toys = 18 x . gain = 3 x . sp of 18 toys = rs . 25200 . gain = sp \u00e2 \u20ac \u201c cp 3 x = 25200 \u00e2 \u20ac \u201c 18 x 21 x = 25200 x = rs . 1200 . answer : option e" - }, - { - "Answer": 9920, - "Options": "a ) 9920 , b ) 96288 , c ) 26667 , d ) 1662 , e ) 2882", - "Correct": "a", - "Explanation": "\"( 8000 * 3 * 3 ) / 100 = 720 9200 - - - - - - - - 9920 answer : a\"" - }, - { - "Answer": 140, - "Options": "a ) rs . 170 , b ) rs . 140 , c ) rs . 1.70 , d ) rs . 4.25 , e ) none", - "Correct": "b", - "Explanation": "\"answer \u2235 0.5 / 100 of a = 70 / 100 \u2234 a = rs . ( 70 / 0.5 ) = rs . 140 correct option : b\"" - }, - { - "Answer": 120, - "Options": "a ) 81 , b ) 100 , c ) 120 , d ) 135 , e ) 160", - "Correct": "c", - "Explanation": "\"since the wholesale price was $ 90 and the profit was 20 % of the wholesale price ( [ . 2 ] [ 90 ] = $ 18 ) , the retail price would have to be above $ 108 , but not that much greater than that . let ' s start by testing answer c : $ 120 . . . . if . . . . . retail price e = $ 120 10 % discount off = $ 120 - ( . 1 ) ( 120 ) = 120 - 12 = 108 20 % profit on wholesale price = 90 + ( . 2 ) ( 90 ) = 90 + 18 = 108 these two numbers match , so this must be the answer ! final answer : [ reveal ] spoiler : c\"" - }, - { - "Answer": 12, - "Options": "a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 10", - "Correct": "a", - "Explanation": "\"96 % - - - - 16 128 % - - - - ? 96 / 128 * 16 = 12 answer : a\"" - }, - { - "Answer": 1024, - "Options": "a ) 1024 , b ) 960 , c ) 277 , d ) 266 , e ) 121", - "Correct": "a", - "Explanation": "let c . p . = rs . x . then , 832 - x = x - 448 2 x = 1280 = > x = 640 required s . p . = 160 % of rs . 640 = 160 / 100 * 640 = rs . 1024 . answer : a" - }, - { - "Answer": 8, - "Options": "a ) 11 , b ) 20 , c ) 12 , d ) 40 , e ) 8", - "Correct": "e", - "Explanation": "\"1000 - - - - 80 100 - - - - ? = > 8 % answer : e\"" - }, - { - "Answer": 65.97222222222221, - "Options": "a ) 72.5 , b ) 55.5 , c ) 62.5 , d ) 82.5 , e ) 65.9", - "Correct": "e", - "Explanation": "\"e $ 62.50 cp = 47.50 sp = 47.50 * ( 125 / 100 ) = 59.375 mp * ( 90 / 100 ) = 59.375 mp = 65.9 e\"" - }, - { - "Answer": 29999.999999999993, - "Options": "a ) 23777 , b ) 30000 , c ) 29977 , d ) 26777 , e ) 19871", - "Correct": "b", - "Explanation": "\"let the sum invested at 9 % be rs . x and that invested at 11 % be rs . ( 100000 - x ) . then , ( x * 9 * 1 ) / 100 + [ ( 100000 - x ) * 11 * 1 ] / 100 = ( 100000 * 48 / 5 * 1 / 100 ) ( 9 x + 1100000 - 11 x ) = 960000 x = 70000 sum invested at 9 % = rs . 70000 sum invested at 11 % = rs . ( 100000 - 70000 ) = rs . 30000 . answer : b\"" - }, - { - "Answer": 240, - "Options": "a ) s . 247 , b ) s . 248 , c ) s . 240 , d ) s . 229 , e ) s . 212", - "Correct": "c", - "Explanation": "\"given that sp = rs . 170 and loss = 15 % cp = [ 100 ( sp ) ] / ( 100 - l % ) = ( 100 * 170 ) / 85 = 20 * 6 = rs . 200 . to get 20 % profit , new sp = [ ( 100 + p % ) cp ] / 100 = ( 200 * 120 ) / 100 = rs . 240 answer : c\"" - }, - { - "Answer": 404600, - "Options": "a ) 330000 , b ) 340000 , c ) 347000 , d ) 356000 , e ) 404600", - "Correct": "e", - "Explanation": "\"total number of invalid votes = 15 % of 560000 = 15 / 100 \u00d7 560000 = 8400000 / 100 = 84000 total number of valid votes 560000 \u2013 84000 = 476000 percentage of votes polled in favour of candidate a = 85 % therefore , the number of valid votes polled in favour of candidate a = 85 % of 476000 = 85 / 100 \u00d7 476000 = 40460000 / 100 = 404600 e )\"" - }, - { - "Answer": 44.000000000000014, - "Options": "a ) 26 , b ) 37.5 , c ) 42 , d ) 44 , e ) 50", - "Correct": "d", - "Explanation": "\"answer : d = 44 . assume rs . 100 to be the price at which the retailer buys from wholesaler . 80 % increase makes retail price = 180 . now 20 % decrease - > ( 1 - 20 / 100 ) * 180 = 144 . now compared to the wholesale price of 100 , 44 % increase is what will have the same effect as increasing the wholesale price .\"" - }, - { - "Answer": 300, - "Options": "a ) 90 , b ) 300 , c ) 270 , d ) 500 , e ) 1,000", - "Correct": "b", - "Explanation": "\"let total number of female officers in the police force = f total number of officers on duty on that night = 240 number of female officers on duty on that night = 240 / 2 = 120 ( 40 / 100 ) * f = 120 = > f = 300 answer b\"" - }, - { - "Answer": 55, - "Options": "a ) rs . 72 , b ) rs . 36 , c ) rs . 55 , d ) rs . 50 , e ) none", - "Correct": "c", - "Explanation": "solution t . d = [ b . g x 100 / r x t ] = rs . ( 6.6 x 100 / 12 x 1 ) = rs . 55 . answer c" - }, - { - "Answer": 40, - "Options": "a ) 0.004 % , b ) 0.04 % , c ) 40 % , d ) 4 % , e ) 40 %", - "Correct": "c", - "Explanation": "\"total amount of water evaporated each day during a 50 - day period = . 08 * 50 = . 08 * 100 / 2 = 8 / 2 = 4 percent of the original amount of water evaporated during this period = ( 4 / 10 ) * 100 % = 40 % answer c\"" - }, - { - "Answer": 4.000000000000005, - "Options": "a ) 5 , b ) 6 , c ) 4 , d ) 3 , e ) 2", - "Correct": "c", - "Explanation": "\"machine b : takes x hours to produce 440 sprockets machine a : takes ( x + 10 ) hours to produce 440 sprockets machine b : in 1 hour , b makes 440 / x sprockets machine a : in 1 hour , a makes 440 / ( x + 10 ) sprockets equating : 1.1 ( 440 / ( x + 10 ) ) = 440 / x 484 / ( x + 10 ) = 440 / x 484 x = 440 x + 4400 44 x = 4400 x = 100 a makes 440 / ( 110 ) = 4 sprockets per hour answer : c\"" - }, - { - "Answer": 3, - "Options": "a ) 2 , b ) 3 , c ) 5 , d ) 6 , e ) 8", - "Correct": "b", - "Explanation": "\"for lost , use negative . for gain , use positive . progress = - 5 + 8 = 3 yards b\"" - }, - { - "Answer": 700, - "Options": "a ) 0.35 , b ) 3.5 , c ) 35 , d ) 350 , e ) 700", - "Correct": "e", - "Explanation": "\"imo answer should be 350 . . . consider j = 10 , then k = 50 , l = 150 and m = 350 . . . . 20 % of 350 , comes out to be 70 . . . . 100 % of 10 is 10 . . . . ( 70 * 100 ) / 10 = 700 . . . . ans : e\"" - }, - { - "Answer": 7250, - "Options": "a ) 7250 , b ) 7200 , c ) 7820 , d ) 6000 , e ) 2799", - "Correct": "a", - "Explanation": "\"money paid in cash = rs . 750 balance payment = ( 8000 - 1000 ) = rs . 7250 answer : a\"" - }, - { - "Answer": 15730.000000000004, - "Options": "a ) 15730 , b ) 15240 , c ) 12456 , d ) 11452 , e ) 10002", - "Correct": "a", - "Explanation": "the required population is = 13000 ( 1 + 10 / 100 ) ^ 2 = 13000 * 11 / 10 * 11 / 10 = 15730 answer is a" - }, - { - "Answer": 350, - "Options": "a ) 5 % , b ) 20 % , c ) 50 % , d ) 350 % , e ) 500 %", - "Correct": "d", - "Explanation": "\"40 * x = 140 - - > x = 3.5 - - > 3.5 expressed as percent is 350 % . answer : d .\"" - }, - { - "Answer": 980, - "Options": "a ) $ 600 , b ) $ 740 , c ) $ 850 , d ) $ 980 , e ) $ 1,140", - "Correct": "d", - "Explanation": "\"price of 1 ticket = 20 $ revenue generated from sales of first 10 tickets = 10 * ( 60 / 100 * 20 ) = 10 * 12 = 120 revenue generated from sales of next 20 tickets = 20 * ( 85 / 100 * 20 ) = 20 * 17 = 340 revenue generated from sales of last 26 tickets = 20 * 26 = 520 revenue generated from sales of 56 tickets = 120 + 340 + 520 = 980 $ answer d\"" - }, - { - "Answer": 20, - "Options": "a ) 25 % , b ) 30 % , c ) 50 % , d ) 20 % , e ) 10 %", - "Correct": "d", - "Explanation": "\"s . p . = $ 90 gain = $ 15 c . p . = 90 - 15 = 75 gain % = 15 / 75 * 100 = 20 % answer is d\"" - }, - { - "Answer": 28.000000000000004, - "Options": "a ) 28 % , b ) 34 % , c ) 22 % , d ) 18 % , e ) 8.5 %", - "Correct": "a", - "Explanation": "consider total solution to be 100 liters and in this case you ' ll have : 75 * 0.12 + 25 * x = 100 * 0.16 - - > x = 0.28 . answer : a ." - }, - { - "Answer": 17, - "Options": "a ) 18 % , b ) 20 % , c ) 17 % , d ) 18 % , e ) none of these", - "Correct": "c", - "Explanation": "explanation : let the cp of the article = rs . 100 . then labeled price = rs . 130 . sp = rs . 130 - 10 % of 130 = rs . 130 - 13 = rs . 117 . gain = rs . 117 \u2013 rs . 100 = rs . 17 therefore , gain / profit percent = 17 % . answer : option c" - }, - { - "Answer": 12.5, - "Options": "a ) 10 , b ) 12.5 , c ) 25 , d ) 12 , e ) 14.5", - "Correct": "b", - "Explanation": "\"s . i = ( p * r * t ) / 100 100 = 800 r / 100 r = 100 / 8 = 12.5 % answer b\"" - }, - { - "Answer": 420, - "Options": "a ) 400 , b ) 410 , c ) 460 , d ) 420 , e ) 430", - "Correct": "d", - "Explanation": "\"( 3500 * 4 * 3 ) / 100 = > 420 answer : d\"" - }, - { - "Answer": 366.6666666666667, - "Options": "a ) 367 , b ) 380 , c ) 400 , d ) 406 , e ) 412", - "Correct": "a", - "Explanation": "\"mr . john used to purchase certain number of mangoes for $ 360 since the price of mangoes is reduced by 10 % he got 12 more mangoes today . find the original price of 120 mangoes . method 1 : let price per mango = x . let number of mangoes be n . then , nx = 360 . now price = 0.9 x ; number of mangoes = n + 12 . total amount = 0.9 x * ( n + 12 ) = 360 . nx = 0.9 nx + 10.8 x = > 0.1 nx = 10.8 x = > n = 108 = > x = 360 / 108 = 3.33 original price of 110 mangoes = 110 * 3.33 = 367 . answer a\"" - }, - { - "Answer": 2, - "Options": "a ) 2 kmph , b ) 7 kmph , c ) 98 kmph , d ) 6 kmph , e ) 4 kmph", - "Correct": "a", - "Explanation": "\"ds = 10 us = 6 s = ? s = ( 10 - 6 ) / 2 = 2 kmph answer : a\"" - }, - { - "Answer": 12499.999999999998, - "Options": "a ) 12500 , b ) 37500 , c ) 29977 , d ) 26777 , e ) 19871", - "Correct": "a", - "Explanation": "\"let the sum invested at 9 % be rs . x and that invested at 11 % be rs . ( 100000 - x ) . then , ( x * 9 * 1 ) / 100 + [ ( 100000 - x ) * 11 * 1 ] / 100 = ( 100000 * 37 / 4 * 1 / 100 ) ( 9 x + 1100000 - 11 x ) = 37000 / 4 = 925000 x = 87500 sum invested at 9 % = rs . 87500 sum invested at 11 % = rs . ( 100000 - 87500 ) = rs . 12500 . answer : a\"" - }, - { - "Answer": 16.666666666666664, - "Options": "a ) 10.5 % , b ) 12.5 % , c ) 16.7 % , d ) 25 % , e ) 30 %", - "Correct": "c", - "Explanation": "\"suppose there are x motorists . 10 % of them exceeded the speed limit and received the ticket , i . e . x / 10 . again , suppose total no . of motorists who exceeded the speed limit are y . 40 % of y exceeded the speed limit but did n ' t received the ticket , i . e . 2 y / 5 . it means 3 y / 5 received the ticket . hence , 3 y / 5 = x / 10 or y / x = 1 / 6 or y / x * 100 = 1 / 6 * 100 = 16.7 % c\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 18.75 , b ) 19.75 , c ) 20.75 , d ) 33 , e ) 22.75", - "Correct": "d", - "Explanation": "60 * 84 / 100 = 50.40 lit milk that is 9.60 lit water let x lit water will be added then ( 60 + x ) * 54 / 100 = 50.40 so x = 33.33 answer : d" - }, - { - "Answer": 100, - "Options": "a ) 50 % , b ) 100 % , c ) 25 % , d ) 15 % , e ) 60 %", - "Correct": "b", - "Explanation": "c . p . of each article be $ 1 c . p . of 10 articles = 10 gain % = 10 / 10 * 100 = 100 % answer is b" - }, - { - "Answer": 50, - "Options": "a ) rs . 50 , b ) rs . 70 , c ) rs . 100 , d ) rs . 80 , e ) rs . 60", - "Correct": "a", - "Explanation": "explanation : 25 % of 200 = > 25 / 100 * 200 = rs . 50 answer : a" - }, - { - "Answer": 18.999999999999996, - "Options": "a ) 3 , b ) 6 , c ) 14 , d ) 17 , e ) 19", - "Correct": "e", - "Explanation": "\"number of apples = 14 number of oranges = 25 let number of oranges that must be removed so that 70 % of pieces of fruit in bowl will be apples = x total number of fruits after x oranges are removed = 14 + ( 25 - x ) = 39 - x 14 / ( 39 - x ) = 7 / 10 = > 20 = 39 - x = > x = 19 answer e\"" - }, - { - "Answer": 1000, - "Options": "a ) 550 , b ) 1000 , c ) 2500 , d ) 300 , e ) 4000", - "Correct": "b", - "Explanation": "\"by investing $ 136 , income obtained = $ 20 . by investing $ 6800 , income obtained = $ [ ( 20 / 136 ) * 6800 ] = $ 1000 . answer b .\"" - }, - { - "Answer": 5, - "Options": "a ) 5 kmph , b ) 6 kmph , c ) 7 kmph , d ) 4 kmph , e ) 9 kmph", - "Correct": "a", - "Explanation": "\"explanation : ds = 16 us = 6 s = ? s = ( 16 - 6 ) / 2 = 5 kmph answer : a\"" - }, - { - "Answer": 1200, - "Options": "a ) rs . 880 , b ) rs . 890 , c ) rs . 1200 , d ) rs . 900 , e ) none", - "Correct": "c", - "Explanation": "\"let p = principal a - amount we have a = p ( 1 + r / 100 ) 3 and ci = a - p atq 993 = p ( 1 + r / 100 ) 3 - p ? p = 3000 / - now si @ 10 % on 3000 / - for 4 yrs = ( 3000 x 10 x 4 ) / 100 = 1200 / - answer : c .\"" - }, - { - "Answer": 40, - "Options": "a ) 20 % , b ) 25 % , c ) 35 % , d ) 40 % , e ) 45 %", - "Correct": "d", - "Explanation": "\"let p be the original price of the goods and let x be the rate after the markup . ( 1.75 p ) * x = 1.05 p x = 1.05 / 1.75 = 0.6 which is a discount of 40 % . the answer is d .\"" - }, - { - "Answer": 93.51936000000069, - "Options": "a ) 94.19 , b ) 94.12 , c ) 93.5 , d ) 64.1 , e ) 64.11", - "Correct": "c", - "Explanation": "\"s . i . = ( 1000 * 12 * 4 ) / 100 = rs . 480 c . i . = [ 1000 * ( 1 + 12 / 100 ) 4 - 1000 ] = rs . 573.5 difference = ( 573.5 - 480 ) = rs . 93.5 answer : c\"" - }, - { - "Answer": 4, - "Options": "a ) 4 kmph , b ) 2 kmph , c ) 7 kmph , d ) 8 kmph , e ) 3 kmph", - "Correct": "a", - "Explanation": "\"ds = 16 us = 8 s = ? s = ( 16 - 8 ) / 2 = 4 kmph answer : a\"" - }, - { - "Answer": 4.999999999999982, - "Options": "a ) 12.50 % , b ) 13.50 % , c ) 5 % , d ) 14.50 % , e ) none", - "Correct": "c", - "Explanation": "sol . let c . p . = rs . 100 . then , marked price = rs . 140 . s . p . = 75 % of rs . 140 = rs . 105 . \u2234 gain % = 5 % . answer c" - }, - { - "Answer": 0.5, - "Options": "a ) 1 / 2 , b ) 1 / 3 , c ) 2 / 3 , d ) 1 / 4 , e ) 2 / 5", - "Correct": "a", - "Explanation": "\"let x be the fraction of the original solution that was replaced . 0.5 * ( 1 - x ) + 0.3 ( x ) = 0.4 0.2 x = 0.1 x = 1 / 2 the answer is a .\"" - }, - { - "Answer": 500.00000000000006, - "Options": "a ) 250 , b ) 500 , c ) 450 , d ) 500 , e ) 520", - "Correct": "b", - "Explanation": "\"formula = total = 100 % , increse = ` ` + ' ' decrease = ` ` - ' ' a number means = 100 % that same number increased by 40 % = 140 % 140 % - - - - - - - > 700 ( 140 \u00d7 5 = 700 ) 100 % - - - - - - - > 700 ( 100 \u00d7 5 = 500 ) b )\"" - }, - { - "Answer": 67.99999999999997, - "Options": "a ) 15 % , b ) 32 % , c ) 40 % , d ) 68 % , e ) 80 %", - "Correct": "d", - "Explanation": "\"assume 100 in march , then 140 in april as 40 % increase , then 112 in may as 20 % decrease from april , and then 168 in june which is 150 % of 112 . so overall increase is from 100 to 168 is 68 % answer d\"" - }, - { - "Answer": 25, - "Options": "a ) 3.0 , b ) 3.36 , c ) 24.64 , d ) 25.0 , e ) 31.36", - "Correct": "d", - "Explanation": "cost price * 1.12 = selling price - - > cost price * 1.12 = $ 28 - - > cost price = $ 25 . answer : d . actually even without any math only c and d make any sense , but since 24.64 * 1.12 wo n ' t be an integer ( $ 28 ) then only answer choice d remains ." - }, - { - "Answer": 1692.3076923076924, - "Options": "a ) 1000 , b ) 2876 , c ) 1977 , d ) 2778 , e ) 1692", - "Correct": "e", - "Explanation": "\"91 % 104 % - - - - - - - - 13 % - - - - 220 100 % - - - - ? = > rs . 1692 answer : e\"" - }, - { - "Answer": 90, - "Options": "a ) 80 , b ) 90 , c ) 110 , d ) 120 , e ) 130", - "Correct": "b", - "Explanation": "\"33 1 / 3 % = 1 / 3 1 / 3 \u00d7 270 = 90 b )\"" - }, - { - "Answer": 546, - "Options": "a ) 546 , b ) 674 , c ) 672 , d ) 960 , e ) none", - "Correct": "a", - "Explanation": "\"solution : total employees , = 1300 female employees , 60 % of 1300 . = ( 60 * 1300 ) / 100 = 780 . then male employees , = 520 50 % of male are computer literate , = 260 male computer literate . 62 % of total employees are computer literate , = ( 62 * 1300 ) / 100 = 806 computer literate . thus , female computer literate = 806 - 260 = 546 . answer : option a\"" - }, - { - "Answer": 11.99999999999999, - "Options": "a ) \u2212 5 % , b ) 5 % , c ) 12 % , d ) 20 % , e ) 80 %", - "Correct": "c", - "Explanation": "the actual answer is obtained by multiplying 160 % by 70 % and subtracting 100 % from this total . that is : 160 % \u00d7 70 % = 112 % ; 112 % \u2212 100 % = 12 % . answer : c" - }, - { - "Answer": 26, - "Options": "a ) 26 % increase , b ) 44 % decrease , c ) 60 % increase , d ) 66 % increase , e ) 66 % decrease", - "Correct": "a", - "Explanation": "\"if n items are sold for $ p each , revenue is $ np . if we reduce the price by 30 % , the new price is 0.7 p . if we increase the number sold by 80 % , the new number sold is 1.8 n . so the new revenue is ( 0.7 p ) ( 1.8 n ) = 1.26 np , which is 1.26 times the old revenue , so is 26 % greater . answer : a\"" - }, - { - "Answer": 5, - "Options": "a ) 4 % , b ) 7 % , c ) 6 % , d ) 5 % , e ) 3 %", - "Correct": "d", - "Explanation": "\"explanation : let the principal ( p ) be x then , simple interest ( si ) = x / 5 time ( t ) = 4 years rate of interest per annum ( r ) = ( 100 \u00d7 si ) / pt = ( 100 \u00d7 ( x / 5 ) / ( x \u00d7 4 ) = 20 / 4 = 5 % answer : option d\"" - }, - { - "Answer": 3000, - "Options": "a ) 1000 , b ) 2998 , c ) 3000 , d ) 2788 , e ) 2991", - "Correct": "c", - "Explanation": "\"90 % 108 % - - - - - - - - 18 % - - - - 540 100 % - - - - ? = > rs . 3000 answer : c\"" - }, - { - "Answer": 44, - "Options": "a ) 25 % , b ) 44 % , c ) 56 % , d ) 62 % , e ) 70 %", - "Correct": "b", - "Explanation": "\"62 + 54 + 28 = 144 % the number is 44 % above 100 % because 44 % of the counties were counted twice . the answer is b .\"" - }, - { - "Answer": 26, - "Options": "a ) 26 % , b ) 28 % , c ) 27 % , d ) 40 % , e ) 70 %", - "Correct": "a", - "Explanation": "\"sp 2 = 2 / 3 sp 1 cp = 100 sp 2 = 84 2 / 3 sp 1 = 84 sp 1 = 126 100 - - - 26 = > 26 % answer : a\"" - }, - { - "Answer": 16, - "Options": "a ) 12 , b ) 8 , c ) 15 , d ) 20 , e ) 16", - "Correct": "e", - "Explanation": "\"let the number be x 50 % of 40 - 25 % of x = 2 25 / 100 x = ( 15 / 100 * 40 ) - 2 x / 4 = 4 x = 16 answer is e\"" - }, - { - "Answer": 49, - "Options": "a ) 22 , b ) 28 , c ) 99 , d ) 49 , e ) 66", - "Correct": "d", - "Explanation": "\"speed ratio = 1 : 7 / 6 = 6 : 7 time ratio = 7 : 6 1 - - - - - - - - 7 7 - - - - - - - - - ? 49 m answer : d\"" - }, - { - "Answer": 20, - "Options": "a ) 18 , b ) 16 , c ) 26 , d ) 17 , e ) 20", - "Correct": "e", - "Explanation": "\"explanation : 1500 - - - - 300 100 - - - - ? = > 20 % answer : e\"" - }, - { - "Answer": 6001.888872428289, - "Options": "a ) 5980 , b ) 5990 , c ) 6000 , d ) 6010 , e ) 6020", - "Correct": "c", - "Explanation": "\"ratio of their shares = 54000 : 27000 = 6 : 3 . q \u2019 s share = rs . 18000 * 3 / 9 = rs . 6000 answer : c\"" - }, - { - "Answer": 5, - "Options": "a ) 4 % , b ) 5 % , c ) 6 % , d ) 7 % , e ) 8 %", - "Correct": "b", - "Explanation": "\"i ii iii 171 180 100 180 - - - - - - - - - - 171 100 - - - - - - - - - - - ? = > 5 % answer : b\"" - }, - { - "Answer": 2000.000000000001, - "Options": "a ) 2000 , b ) 2777 , c ) 2688 , d ) 1000 , e ) 2871", - "Correct": "a", - "Explanation": "\"( x * 5 * 1 ) / 100 + [ ( 2500 - x ) * 6 * 1 ] / 100 = 130 x = 2000 answer : a\"" - }, - { - "Answer": 502.74, - "Options": "a ) 288 , b ) 500 , c ) 502 , d ) 540 , e ) 262", - "Correct": "c", - "Explanation": "\"540 * ( 95 / 100 ) * ( 98 / 100 ) = 502 answer : c\"" - }, - { - "Answer": 417.3913043478261, - "Options": "a ) 391 , b ) 417 , c ) 410 , d ) 423 , e ) 445", - "Correct": "b", - "Explanation": "\"d = number of employees in december j = number of employees in january j x 1.15 = d j x 1.15 = 480 j = 480 / 1.15 j = 48,000 / 115 = 417 thus b is the correct answer .\"" - }, - { - "Answer": 50, - "Options": "a ) 12 % , b ) 16 % , c ) 19 % , d ) 50 % , e ) 60 %", - "Correct": "d", - "Explanation": "\"600 - - - - 300 100 - - - - ? = > 50 % answer : d\"" - }, - { - "Answer": 428.57142857142856, - "Options": "a ) 337 , b ) 429 , c ) 266 , d ) 288 , e ) 211", - "Correct": "b", - "Explanation": "\"60 = ( p * 4 * 7 / 2 ) / 100 p = 429 answer : b\"" - }, - { - "Answer": 14999.999999999996, - "Options": "a ) 20029 , b ) 20000 , c ) 20289 , d ) 20027 , e ) 15000", - "Correct": "e", - "Explanation": "\"let the total worth of the stock be rs . x . the sp of 20 % of the stock = 1 / 5 * x * 1.1 = 11 x / 50 the sp of 80 % of the stock = 4 / 5 * x * 0.95 = 19 x / 25 = 38 x / 50 total sp = 11 x / 50 + 38 x / 50 = 49 x / 50 overall loss = x - 49 x / 50 = x / 50 x / 50 = 300 = > x = 15000 answer : e\"" - }, - { - "Answer": 50, - "Options": "a ) 60 , b ) 80 , c ) 50 , d ) 120 , e ) 140", - "Correct": "c", - "Explanation": "\"30 % of the members have passed the test , thus 70 % have not passed the test . we also know that 30 + 5 = 42 members have not passed the test , thus 0.7 * total = 35 - - > total = 50 . answer : c .\"" - }, - { - "Answer": 496.29629629629625, - "Options": "a ) $ 496.30 , b ) $ 512.40 , c ) $ 555.40 , d ) $ 574.90 , e ) $ 588.20", - "Correct": "a", - "Explanation": "\"670 is the final price that is the selling price . now suppose , x is the cost price . therefore 670 = 1.35 * x now while doing x = 670 / 1.35 calculation . i saw that the answer choices begin with 5 . so i did 135 * 5 = 675 . as 670 is less than 675 . therefore the quotient will be less than 5 . which is only in the answer a .\"" - }, - { - "Answer": 35, - "Options": "a ) 15 % , b ) 25 % , c ) 35 % , d ) 40 % , e ) 45 %", - "Correct": "c", - "Explanation": "\"cost price of article = 48 $ % of overhead cost = 10 net profit = 12 $ we need to calculate % markup net profit as % of cost price = ( 12 / 48 ) * 100 = 25 % total markup should be = 25 + 10 = 35 % answer c\"" - }, - { - "Answer": 43.75, - "Options": "a ) 31.25 , b ) 37.5 , c ) 50.0 , d ) 52.5 , e ) 43.75", - "Correct": "e", - "Explanation": "\"we ' re told that the original price of an item is increased by 15 % and then that price is increased by 25 % . . . . if . . . . starting value = $ 100 + 15 % = 100 + . 15 ( 100 ) = 115 + 25 % = 115 + . 25 ( 115 ) = 115 + 28.75 = 143.75 the question asks how the final price relates to the original price . this is essentially about percentage change , which means we should use the percentage change formula : percentage change = ( new - old ) / old = difference / original doing either calculation will yield the same result : 43.75 / 100 = 43.75 % final answer : e\"" - }, - { - "Answer": 896, - "Options": "a ) $ 480 , b ) $ 450 , c ) $ 896 , d ) $ 870 , e ) $ 660", - "Correct": "c", - "Explanation": "let c . p . = $ x . then , 832 - x = x - 448 2 x = 1280 = > x = 640 required s . p . = 140 % of $ 640 = $ 896 . c" - }, - { - "Answer": 8000, - "Options": "a ) 8000 , b ) 2787 , c ) 27766 , d ) 9976 , e ) 21671", - "Correct": "a", - "Explanation": "let the sum be rs . x . then , [ ( x * 6 * 3 ) / 100 ] + [ ( x * 9 * 5 ) / 100 ] + [ ( x * 13 * 3 ) / 100 ] = 8160 18 x + 45 x + 39 x = ( 8160 * 100 ) 102 x = 816000 = > x = 8000 . answer : a" - }, - { - "Answer": 39000, - "Options": "a ) 22678 , b ) 26699 , c ) 26788 , d ) 19000 , e ) 39000", - "Correct": "e", - "Explanation": "\"money paid in cash = rs . 1000 balance payment = ( 40000 - 1000 ) = rs . 39000 answer : e\"" - }, - { - "Answer": 54.336448598130836, - "Options": "a ) 45 % , b ) 49 % , c ) 54 % , d ) 59 % , e ) 61 %", - "Correct": "c", - "Explanation": "\"total number of votes polled = ( 2136 + 7636 + 11628 ) = 21260 so , required percentage = 11628 / 21260 * 100 = 54 % c\"" - }, - { - "Answer": 50, - "Options": "a ) 50 , b ) 60 , c ) 80 , d ) 320 , e ) none", - "Correct": "a", - "Explanation": "\"explanation : let the answer be ' a ' then a \u2212 20 / 100 a = 40 \u21d2 5 a \u2212 a = 200 \u21d2 a = 50 \u21d2 a = 50 correct option : a\"" - }, - { - "Answer": 45, - "Options": "a ) 112.5 , b ) 122.5 , c ) 132.5 , d ) 114.5 , e ) 45", - "Correct": "e", - "Explanation": "\"( 1000 * 1.5 * 3 ) / 100 = > 45 answer : e\"" - }, - { - "Answer": 80, - "Options": "a ) s . 42 , b ) s . 46 , c ) s . 40 , d ) s . 80 , e ) s . 34", - "Correct": "d", - "Explanation": "\"800 * ( 50 / 100 ) = 400 - - - - 5 ? - - - - 1 = > rs . 80 answer : d\"" - }, - { - "Answer": 199.99999999999997, - "Options": "a ) 150 , b ) 200 , c ) 250 , d ) 275 , e ) 285", - "Correct": "b", - "Explanation": "30 % - - - - - - - - - - - - 50 45 % - - - - - - - - - - - - 25 - - - - - - - - - - - - - - - - - - - - - - 15 % - - - - - - - - - - - - - 75 30 % - - - - - - - - - - - - - - ? 150 + 50 = 200 marks answer : b" - }, - { - "Answer": 4, - "Options": "a ) 8 , b ) 10 , c ) 18 , d ) 4 , e ) 12", - "Correct": "d", - "Explanation": "\"7 * 5 : 2 * x = 7 : 10 x = 4 answer : 4 answer is d\"" - }, - { - "Answer": 0.16, - "Options": "a ) 0.125 % , b ) 0.2 % , c ) 0.16 % , d ) 1.25 % , e ) 2.0 %", - "Correct": "c", - "Explanation": "\"percent of defective produced = 4 % percent of the defective units that are shipped for sale = 4 % percent of units produced are defective units that are shipped for sale = ( 4 / 100 ) * ( 4 / 100 ) * 100 % = ( 16 / 10000 ) * 100 % = ( 16 / 100 ) % = . 16 % answer c\"" - }, - { - "Answer": 180, - "Options": "a ) 140 , b ) 150 , c ) 160 , d ) 170 , e ) 180", - "Correct": "e", - "Explanation": "\"sum = ( b . d * t . d ) / ( b . d - t . d ) ( 36 * 30 ) / 36 - 30 ; 180 answer : e\"" - }, - { - "Answer": 9, - "Options": "a ) 6 , b ) 9 , c ) 12 , d ) 15 , e ) 18", - "Correct": "b", - "Explanation": "1 weaver can weave 1 mat in 4 days . 6 weavers can weave 6 mats in 4 days . 6 weavers can weave 9 mats in 6 days . the answer is b ." - }, - { - "Answer": 2, - "Options": "a ) 2 , b ) 4 , c ) 5 , d ) 6 , e ) 8", - "Correct": "a", - "Explanation": "for lost , use negative . for gain , use positive . progress = - 5 + 7 = 2 yards a" - }, - { - "Answer": 5200, - "Options": "a ) a ) 4500 , b ) b ) 5200 , c ) c ) 6900 , d ) d ) 7520 , e ) e ) 6000", - "Correct": "b", - "Explanation": "\"let the total number of votes polled be x then , votes polled by other candidate = ( 100 - 60 ) % of x = 40 % of x 60 % of x - 40 % of x = 1040 20 x / 100 = 1040 x = 1040 * 100 / 20 = 5200 answer is b\"" - }, - { - "Answer": 40, - "Options": "a ) 40 % , b ) 50 % , c ) 60 % , d ) 70 % , e ) 30 %", - "Correct": "a", - "Explanation": "\"let the cp of each pen be rs . 1 . cp of 100 pens = rs . 100 profit = cost of 40 pens = rs . 40 profit % = 40 / 100 * 100 = 40 % answer : a\"" - }, - { - "Answer": 4200, - "Options": "a ) 1978 , b ) 2707 , c ) 7728 , d ) 4200 , e ) 7291", - "Correct": "d", - "Explanation": "\"15 : 25 = > 3 : 5 9600 * 10 / 100 = 960 9600 - 960 = 8640 8640 * 3 / 8 = 3240 + 960 = 4200 answer : d\"" - }, - { - "Answer": 75, - "Options": "a ) 20 % , b ) 42 % , c ) 44 % , d ) 75 % , e ) 84 %", - "Correct": "d", - "Explanation": "\"you are correct . people who cover local politics are a subset of people who cover politics . 20 % of reporters who cover politics do not cover local politics so 80 % do cover local politics . reporters covering local politics = 80 % of reporters covering politics = 20 % ofall reporters reporters covering politics / all reporters = 20 / 80 = 1 / 4 reporters not covering politics / all reporters = 3 / 4 = 75 % = d\"" - }, - { - "Answer": 1200, - "Options": "a ) $ 1000 , b ) $ 1050 , c ) $ 1100 , d ) $ 1150 , e ) $ 1200", - "Correct": "e", - "Explanation": "let x be the amount of money we started with . 0.7 x = 840 x = 1200 the answer is e ." - }, - { - "Answer": 50, - "Options": "a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70", - "Correct": "c", - "Explanation": "quantity after adding 20 % water = 1.2 liter sp of 1.2 lit . @ 15 rs . / liter = 15 * 1.2 = 18 rs cp = 12 rs / lit . % profit = 100 * ( 18 - 12 ) / 12 = 50 answer : c" - }, - { - "Answer": 10, - "Options": "a ) 5 % , b ) 6 % , c ) 2 % , d ) 95 % , e ) 10 %", - "Correct": "e", - "Explanation": "\"interest for 4 yrs = 400 interest for 1 yr = 100 interest rate = 100 / 1000 x 100 = 10 % answer : e\"" - }, - { - "Answer": 8.000000000000007, - "Options": "a ) 8 % , b ) 62 % , c ) 2 % , d ) 9 % , e ) 22 %", - "Correct": "a", - "Explanation": "\"original price = 100 cp = 60 s = 60 * ( 180 / 100 ) = 112 100 - 108 = 8 % answer : a\"" - }, - { - "Answer": 3, - "Options": "a ) 6 , b ) 5 , c ) 4 , d ) 3 , e ) 2", - "Correct": "d", - "Explanation": "40 * ( 40 / 100 ) = 16 - - - 64 ? - - - 12 = > rs . 3 answer : d" - }, - { - "Answer": 63.00000000000006, - "Options": "a ) 60 kg , b ) 63 kg , c ) 50 kg , d ) 77 kg , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : let the rate of second quality be rs x per kg . step 1 : s . p of 1 kg of mixture = rs . 9.24 gain = 10 % c . p of 1 kg of mixture = [ 100 / ( 100 + 10 ) \u00d7 9.24 ] . = > rs . 8.40 . thus , the mean price = rs . 8.40 . step 2 : c . p of 1 kg of sugar of 1 st kind = 900 p c . p of 1 kg of sugar of 2 nd kind = 700 p mean price = 840 p by the rule of alligation , we have : c . p . of 1 kg of c . p . of 1 kg of sugar of 1 st sugar of 2 nd kind ( 900 p ) kind ( 700 p ) \\ / mean price ( 840 p ) / \\ 840 - 700 : 900 - 840 ( 140 ) ( 60 ) = > required ratio = 140 : 60 = 7 : 3 . step 3 : let , x kg of sugar of 1 st kind be mixed with 27 kg of 2 nd kind , then = > 7 : 3 = x : 27 . = > 7 / 3 = x / 27 . = > x = ( 7 / 3 ) x 27 . = > x = 63 . answer : b\"" - }, - { - "Answer": 11.2, - "Options": "a ) 11.3 , b ) 12.4 , c ) 12.7 , d ) 11.2 , e ) 10.3", - "Correct": "d", - "Explanation": "\"( 38 / 100 ) * 80 \u00e2 \u20ac \u201c ( 12 / 100 ) * 160 30.4 - 19.2 = 11.2 answer : d\"" - }, - { - "Answer": 258, - "Options": "a ) s 222 , b ) s 216 , c ) s 258 , d ) s 210 , e ) s 217", - "Correct": "c", - "Explanation": "\"explanation : total cost of a watch = 210 + ( 500 / 100 ) = 215 . gain = 20 % = > sp = 1.2 cp = 1.2 x 215 = 258 answer : c\"" - }, - { - "Answer": 7, - "Options": "a ) 1 kmph , b ) 6 kmph , c ) 7 kmph , d ) 4 kmph , e ) 9 kmph", - "Correct": "c", - "Explanation": "\"explanation : ds = 24 us = 10 s = ? s = ( 24 - 10 ) / 2 = 7 kmph answer : c\"" - }, - { - "Answer": 50, - "Options": "a ) 50 % , b ) 25 % , c ) 10 % , d ) 30 % , e ) 18 %", - "Correct": "a", - "Explanation": "\"explanatory answer initial amount invested = $ x amount at the end of year 2 = $ 100 amount at the end of year 6 ( another 4 years ) = $ 200 therefore , the interest earned for the 4 year period between the 2 rd year and 6 th year = $ 200 - $ 100 = $ 100 as the simple interest earned for a period of 4 years is $ 100 , interest earned per year = $ 25 . therefore , interest earned for 2 years = 2 * 25 = $ 50 . hence , initial amount invested x = amount after 2 years - interest for 2 years = 100 - 50 = $ 50 . rate of interest = ( interest per year / principal ) * 100 = 25 / 50 * 100 = 50 % correct choice is a\"" - }, - { - "Answer": 160.00000000000003, - "Options": "a ) 100 marks , b ) 200 marks , c ) 280 marks , d ) 160 marks , e ) 827 marks", - "Correct": "d", - "Explanation": "\"20 % - - - - - - - - - - - - 40 30 % - - - - - - - - - - - - 20 - - - - - - - - - - - - - - - - - - - - - - 10 % - - - - - - - - - - - - - 60 20 % - - - - - - - - - - - - - - 120 120 + 40 = 160 marks answer : d\"" - }, - { - "Answer": 24, - "Options": "a ) 12 , b ) 15 , c ) 20 , d ) 24 , e ) 30", - "Correct": "d", - "Explanation": "60 liters of a 30 % hno 3 solution means hno 3 = 18 liters in 60 liters of the solution . now , let x be the pure hno 3 added . as per question , 18 + x = 50 % of ( 60 + x ) or x = 24 . hence , d" - }, - { - "Answer": 32, - "Options": "a ) 32 % , b ) 34 % , c ) 35 % , d ) 36 % , e ) 38 %", - "Correct": "a", - "Explanation": "\"let x be mork ' s income , then mindy ' s income is 4 x . the total tax paid is 0.4 x + 1.2 x = 1.6 x 1.6 x / 5 x = 0.32 the answer is a .\"" - }, - { - "Answer": 1, - "Options": "a ) 2 / 5 , b ) 2 / 3 , c ) 1 / 3 , d ) 1 / 2 , e ) 1 / 1", - "Correct": "e", - "Explanation": "\"let total paint = 1 let amount replaced = x 40 ( 1 - x ) + 20 x = 20 x = 1 / 1 answer : e\"" - }, - { - "Answer": 110.9375, - "Options": "a ) 11 , b ) 111 , c ) 211 , d ) 311 , e ) 411", - "Correct": "b", - "Explanation": "\"the area of a circle is pir ^ 2 , where r is the radius . the area of the big circle is 100 pi . the area of the small circle is 36 pi . the area a 1 between the circles is 64 pi . when the big circle ' s radius increases , the new area is 144 pi . when the small circle ' s radius decreases , the new area is 9 pi . the area a 2 between the circles is 135 pi . the ratio of a 2 / a 1 is 135 / 64 = 2.11 which is an increase of 111 % . the answer is b .\"" - }, - { - "Answer": 8.600000000000001, - "Options": "a ) 10 , b ) 20 , c ) 50 , d ) 8.6 , e ) 40", - "Correct": "d", - "Explanation": "\"man ' s speed with the current = 15 km / hr = > speed of the man + speed of the current = 15 km / hr speed of the current is 3.2 km / hr hence , speed of the man = 15 - 3.2 = 11.8 km / hr man ' s speed against the current = speed of the man - speed of the current = 11.8 - 3.2 = 8.6 km / hr answer is d .\"" - }, - { - "Answer": 299.99999999999994, - "Options": "a ) s 400 , b ) s 280 , c ) s 300 , d ) s 350 , e ) s 310", - "Correct": "c", - "Explanation": "explanation : average rate = ( 144 / 3000 ) * 100 = 4.8 ratio = 2 : 18 so , first part = ( 2 / 20 ) * 3000 = rs 300 . answer : c" - }, - { - "Answer": 1200, - "Options": "a ) 600 , b ) 900 , c ) 1200 , d ) 1500 , e ) 1800", - "Correct": "c", - "Explanation": "\"let v be the total number of votes . 0.2 v = 240 v = 1200 the answer is c .\"" - }, - { - "Answer": 17.64705882352942, - "Options": "a ) 10 % , b ) 50 % , c ) 25 % , d ) 17.6 % , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : cost price = ( 225 + 30 ) = 255 sell price = 300 gain = ( 45 / 255 ) * 100 = 17.6 % . answer : d\"" - }, - { - "Answer": 350, - "Options": "a ) 290 , b ) 320 , c ) 350 , d ) 380 , e ) 410", - "Correct": "c", - "Explanation": "let x be the minimum number of questionnaires to be mailed . 0.6 x = 210 x = 350 the answer is c ." - }, - { - "Answer": 24000, - "Options": "a ) 30000 , b ) 28000 , c ) 24000 , d ) 25000 , e ) 25500", - "Correct": "c", - "Explanation": "\"population consider as x x * ( 96 / 100 ) = 23040 x = 240 * 100 = = > 24000 answer c\"" - }, - { - "Answer": 37500, - "Options": "a ) 29997 , b ) 28088 , c ) 27098 , d ) 37500 , e ) 2799", - "Correct": "d", - "Explanation": "\"money paid in cash = rs . 2500 balance payment = ( 40000 - 2500 ) = rs . 37500 . answer : d\"" - }, - { - "Answer": 550, - "Options": "a ) rs . 320 , b ) rs . 450 , c ) rs . 550 , d ) rs . 640 , e ) rs . 680", - "Correct": "c", - "Explanation": "\"find selling price to gain 10 % . now , we are asked to find selling price to gain 10 % profit . hint : selling price = ( 100 + gain % ) \u00d7 c . p . 100 selling price = ( 100 + 10 ) \u00d7 500 100 selling price = ( 110 ) \u00d7 500 100 therefore , selling price = rs . 550 c\"" - }, - { - "Answer": 30, - "Options": "a ) 30 % , b ) 45 % , c ) 55 % , d ) 65 % , e ) 75 %", - "Correct": "a", - "Explanation": "\"setting up a matrix is how i solve this one . diploma no diploma totals job of choice w / diploma job of choice w / o diploma = 10 % job of choice total = 20 % not job of choice with diploma = . 25 x not job of choice w / o diploma = . 75 x total not job of choice = x total with diploma total without diploma total citizen = 100 if 20 % of people have their job of choice , then 80 % of people do not have their job of choice . 25 % of 80 % = 20 % . we can also see that 10 % of the people have their job of choice and a diploma ( 20 % - 10 % = 10 % ) . 10 % + 20 % = 30 % . therefore 30 % of the people in country z have a diploma . ans a\"" - }, - { - "Answer": 40, - "Options": "a ) 40 , b ) 48 , c ) 50 , d ) 52 , e ) 56", - "Correct": "a", - "Explanation": "\"number of passengers on flight = 120 number of female passengers = . 4 * 120 = 48 number of passengers in first class = ( 10 / 100 ) * 120 = 12 number of passengers in coach class = ( 90 / 100 ) * 120 = 108 number of male passengers in first class = 1 / 3 * 12 = 4 number of female passengers in first class = 12 - 4 = 8 number of female passengers in coach class = 48 - 8 = 40 answer a\"" - }, - { - "Answer": 9005, - "Options": "a ) 9005 , b ) 8925 , c ) 2345 , d ) 6474 , e ) 8723", - "Correct": "a", - "Explanation": "principal = ( 100 x 4052.25 ) / ( 9 x 5 ) = 405225 / 45 = 9005 . answer a" - }, - { - "Answer": 1, - "Options": "a ) 1.44 % , b ) 1.74 % , c ) 1.84 % , d ) 1.47 % , e ) 1.00 %", - "Correct": "e", - "Explanation": "\"sp of each car is rs . 325475 , he gains 10 % on first car and losses 10 % on second car . in this case , there will be loss and percentage of loss is given by = [ ( profit % ) ( loss % ) ] / 100 = ( 10 ) ( 10 ) / 100 % = 1.00 % answer : e\"" - }, - { - "Answer": 96, - "Options": "a ) 65 % , b ) 70 % , c ) 75 % , d ) 85 % , e ) 96 %", - "Correct": "e", - "Explanation": "\"find the product of the two increases : ( 14 / 10 ) * ( 14 / 10 ) which is 1.96 and a 96 % increase . e\"" - }, - { - "Answer": 81.99999999999999, - "Options": "a ) 82 % , b ) 75 % , c ) 65 % , d ) 50 % , e ) 45 %", - "Correct": "a", - "Explanation": "\"consider base price - $ 100 30 % increase = 1.30 * 100 = $ 130 another 40 % increase on new price = 1.4 * 130 = $ 182 so final price of radio - $ 182 therefore a 82 % increase correct option - a\"" - }, - { - "Answer": 1428, - "Options": "a ) 1000 , b ) 1055 , c ) 1428 , d ) 1500 , e ) 1080", - "Correct": "c", - "Explanation": "\"cost of 11 kg grapes = 98 \u00d7 11 = 1078 . cost of 7 kg of mangoes = 50 \u00d7 7 = 350 . total cost he has to pay = 1078 + 350 = 1428 c\"" - }, - { - "Answer": 6900, - "Options": "a ) a ) 4500 , b ) b ) 5200 , c ) c ) 6900 , d ) d ) 7520 , e ) e ) 6000", - "Correct": "c", - "Explanation": "\"let the total number of votes polled be x then , votes polled by other candidate = ( 100 - 60 ) % of x = 40 % of x 60 % of x - 40 % of x = 1380 20 x / 100 = 1380 x = 1380 * 100 / 20 = 6900 answer is c\"" - }, - { - "Answer": 600, - "Options": "a ) rs . 600 , b ) rs . 500 , c ) rs . 400 , d ) rs . 300 , e ) none of these", - "Correct": "a", - "Explanation": "\"explanation : t = 2 years r = 10 % td = ( bg \u00d7 100 ) / tr = ( 24 \u00d7 100 ) / ( 2 \u00d7 10 ) = 12 \u00d7 10 = rs . 120 td = ( pw \u00d7 tr ) / 100 \u21d2 120 = ( pw \u00d7 2 \u00d7 10 ) / 100 \u21d2 1200 = pw \u00d7 2 pw = 1200 / 2 = rs . 600 answer : option a\"" - }, - { - "Answer": 1250, - "Options": "a ) 400 , b ) 625 , c ) 1,250 , d ) 2,500 , e ) 10,000", - "Correct": "c", - "Explanation": "\"total fish = x percentage of second catch = ( 2 / 50 ) * 100 = 4 % so , x * 4 % = 50 x = 1250 answer : c\"" - }, - { - "Answer": 1020, - "Options": "a ) 960 , b ) 1060 , c ) 1,200 , d ) 1020 , e ) none of these", - "Correct": "d", - "Explanation": "\"let the profit or loss be x and 912 \u2013 x = 448 + x or , x = 464 \u2044 2 = 232 \\ cost price of the article = 912 \u2013 x = 448 + x = 680 \\ sp of the article = 680 \u00d7 150 \u2044 100 = 1020 answer d\"" - }, - { - "Answer": 10.76923076923077, - "Options": "a ) 11.769 % , b ) 10.769 % , c ) 12.769 % , d ) 11.69 % , e ) 11.89 %", - "Correct": "b", - "Explanation": "\"explanation : i ii iii 65 58 100 65 - - - - - - - - 7 100 - - - - - - ? = > 10.769 % answer b\"" - }, - { - "Answer": 100, - "Options": "a ) 20 % , b ) 25 % , c ) 29 % , d ) 55 % , e ) 100 %", - "Correct": "e", - "Explanation": "\"500 - - - 500 100 - - - ? = > 100 % answer : e\"" - }, - { - "Answer": 6000, - "Options": "a ) 1978 , b ) 2707 , c ) 7728 , d ) 4200 , e ) 6000", - "Correct": "e", - "Explanation": "\"35 : 25 = > 7 : 5 9600 * 10 / 100 = 960 9600 - 960 = 8640 8640 * 7 / 12 = 5040 + 960 = 6000 answer : e\"" - }, - { - "Answer": 2500, - "Options": "a ) 1521 , b ) 1492 , c ) 1667 , d ) 2500 , e ) 1112", - "Correct": "d", - "Explanation": "\"speed = 10 * 5 / 18 = 50 / 18 m / sec distance covered in 15 minutes = 50 / 18 * 15 * 60 = 2500 m answer is d\"" - }, - { - "Answer": 10.999999999999986, - "Options": "a ) 10 % , b ) 11 % , c ) 12 % , d ) 10.5 % , e ) none", - "Correct": "b", - "Explanation": "\"solution difference in c . i and s . i for 2 years = rs ( 696.30 - 660 ) = rs . 36.30 . s . i for one years = rs 330 . s . i on rs . 330 for 1 year = rs . 36.30 rate = ( 100 x 36.30 / 330 x 1 ) % = 11 % . answer b\"" - }, - { - "Answer": 10.5, - "Options": "a ) $ 9.00 , b ) $ 9.50 , c ) $ 10.50 , d ) $ 13.50 , e ) $ 20.00", - "Correct": "c", - "Explanation": "cp ( 15000 tires ) = $ 22500 + ( $ 8 \u00d7 15000 ) = $ 142500 sp ( 15000 tires ) = $ 20 \u00d7 15000 = $ 300000 profit = sp - cp = $ 300000 - $ 142500 = $ 157500 profit / tire = $ 157500 / 15000 = $ 10.50 answer c" - }, - { - "Answer": 100, - "Options": "a ) 60 % , b ) 80 % , c ) 100 % , d ) 120 % , e ) 150 %", - "Correct": "c", - "Explanation": "given cash discount - 15 % profit - 36 % items sold - 25 price sold at = list price of 20 assume list price = $ 10 total invoice = $ 200 - 15 % cash discount = $ 170 let cost price of 25 items be x so total cost = 25 * x given the shopkeeper had a profit of 36 % 25 * x * 136 / 100 = 170 or x = $ 5 which means his products were listed at $ 10 which is a 100 % markup over $ 5 answer c" - }, - { - "Answer": 34.559999999999995, - "Options": "a ) $ 16.32 , b ) $ 18.00 , c ) $ 21.60 , d ) $ 34.56 , e ) $ 28.80", - "Correct": "d", - "Explanation": "\"the discounted price of one can of soda is ( 0.8 ) ( $ 0.60 ) , or $ 0.48 therefore , the price of 72 cans of soda at the discounted price would be ( 72 ) ( $ 0.48 ) = 34.56 answer : d .\"" - }, - { - "Answer": 122.22222222222223, - "Options": "a ) 22.2 % , b ) 36 % , c ) 80 % , d ) 122.2 % , e ) none", - "Correct": "d", - "Explanation": "\"sol . let marked price = rs . 100 . then , c . p . = rs . 36 . s . p = rs . 80 . \u00e2 \u02c6 \u00b4 gain % = [ 44 / 36 * 100 ] % = 122.2 % . answer d\"" - }, - { - "Answer": 60, - "Options": "a ) 10 % , b ) 60 % , c ) 30 % , d ) 25 % , e ) 28 %", - "Correct": "b", - "Explanation": "\"cp = 50 sp = 80 profit = 80 - 50 = 30 % = 30 / 50 * 100 = 60 % answer : b\"" - }, - { - "Answer": 20, - "Options": "a ) 20.0 % , b ) 13.5 % , c ) 11.5 % , d ) 14.5 % , e ) 21.5 %", - "Correct": "a", - "Explanation": "let principal = p , then , s . i . = p and time = 8 years rate = [ ( 100 x p ) / ( p x 5 ) ] % = 20.0 % per annum . answer : a" - }, - { - "Answer": 64.10000000000036, - "Options": "a ) $ 48.12 , b ) $ 52.64 , c ) $ 64.10 , d ) $ 72.85 , e ) $ 60.10", - "Correct": "c", - "Explanation": "\"s . i . = 1000 * 10 * 4 / 100 = $ 400 c . i . = 1000 * ( 1 + 10 / 100 ) ^ 4 - 1000 = $ 464.10 difference = 464.10 - 400 = $ 64.10 answer is c\"" - }, - { - "Answer": 60.6, - "Options": "a ) $ 30.60 , b ) $ 60.60 , c ) $ 70.60 , d ) $ 40.60 , e ) $ 50.60", - "Correct": "b", - "Explanation": "\"the tip is 20 % of what he paid for lunch . hence tip = 20 % of 50.50 = ( 20 / 100 ) * 50.50 = 101 / 100 = $ 10.10 total spent 50.50 + 10.10 = $ 60.60 correct answer b\"" - }, - { - "Answer": 25.925925925925927, - "Options": "a ) 18 % , b ) 21 % , c ) 25.9 % , d ) 19 % , e ) none of these", - "Correct": "c", - "Explanation": "cp = rs . 540 , mp = 540 + 15 % of 540 = rs . 621 sp = rs . 460 , discount = 621 - 460 = 161 discount % = 161 / 621 * 100 = 25.9 % answer : c" - }, - { - "Answer": 20, - "Options": "a ) 1 , b ) 10 , c ) 100 , d ) 50 , e ) 20", - "Correct": "e", - "Explanation": "\"20 % of 1000 gives 200 . so 200 attends chess and 10 % of 200 gives 20 . so 20 enrolled for swimming answer : e\"" - }, - { - "Answer": 4.444444444444445, - "Options": "a ) $ 11 , b ) $ 5 , c ) $ 45 , d ) $ 400 , e ) $ 4.4", - "Correct": "e", - "Explanation": "\"price decreased by 10 % , so 9 / 10 times , which means that original gallons bought increased 10 / 9 times . since this increase equals to 5 gallons then 45 gallons were bought originally ( 45 * 10 / 9 = 50 - - > increase 5 gallons ) . hence original price was 200 / 45 = $ 4.4 answer : e .\"" - }, - { - "Answer": 4000.0000000000005, - "Options": "a ) $ 3700 , b ) $ 4000 , c ) $ 4300 , d ) $ 4600 , e ) $ 4900", - "Correct": "b", - "Explanation": "\"let x be the amount of money we started with . 0.7 x = 2800 x = 4000 the answer is b .\"" - }, - { - "Answer": 31.782945736434108, - "Options": "a ) 24 % , b ) 25 % , c ) 32 % , d ) 36 % , e ) 40 %", - "Correct": "c", - "Explanation": "\"205 / ( 850 - 205 ) = 205 / 645 = 41 / 129 = 32 % . answer : c .\"" - }, - { - "Answer": 150, - "Options": "a ) 25 % , b ) 50 % , c ) 20 % , d ) 150 % , e ) 300 %", - "Correct": "d", - "Explanation": "\"c . p . = $ 10 s . p . = $ 25 gain = $ 15 gain % = 15 / 10 * 100 = 150 % answer is d\"" - }, - { - "Answer": 5999.999999999999, - "Options": "a ) 7200 , b ) 6000 , c ) 3500 , d ) 5000 , e ) 6200", - "Correct": "b", - "Explanation": "30 % od 90 % = 27 % , 60 % 0 f 90 % = 54 % so the remaining 90 - 27 - 54 = 9 % = 540 acres or 10 % of 90 % = 9 % - - > 540 / 9 * 100 = 6000 acres answer ( b )" - }, - { - "Answer": 1500, - "Options": "a ) 1050 , b ) 1220 , c ) 1500 , d ) 1060 , e ) 1110", - "Correct": "c", - "Explanation": "\"p - 1260 = ( p * 4 * 4 ) / 100 p = 1500 answer : c\"" - }, - { - "Answer": 10, - "Options": "a ) 19 % , b ) 80 % , c ) 10 % , d ) 90 % , e ) 15 %", - "Correct": "c", - "Explanation": "i ii iii 70 63 100 70 - - - - - - - - 7 100 - - - - - - ? = > 10 % answer : c" - }, - { - "Answer": 21, - "Options": "a ) 150 , b ) 108 , c ) 42 , d ) 21 , e ) - 21", - "Correct": "d", - "Explanation": "oa is d . 100 = a + b + c - ab - ac - bc + abc , which is the same as the following formula 100 = a + b + c + ( - ab - ac - bc + abc + abc + abc ) - 2 abc . the term between parantheses value 18 % so the equation to resolve is 100 = 35 + 40 + 50 - 18 - 2 abc therefore the value of abc is 3.5 % of 600 , b is 21 . d is the correct answer" - }, - { - "Answer": 3500, - "Options": "a ) $ 2400 , b ) $ 3200 , c ) $ 3500 , d ) $ 6400 , e ) $ 9600", - "Correct": "c", - "Explanation": "let x be the monthly salary 15 % of 1 / 5 * x = 105 x = 3500 answer c" - }, - { - "Answer": 97.43589743589743, - "Options": "a ) 66 % , b ) 75 % , c ) 86 % , d ) 97 % , e ) 150 %", - "Correct": "d", - "Explanation": "\"let the price of company a ' s assets be 100 price of assets of kw is 90 % more than company a ' s assets which is 190 price of assets of kw is 100 % more than company b ' s assets which means price of company b ' s assets is half the price of kw = 95 a + b = 195 kw = 190 kw / ( a + b ) * 100 = 190 / 195 * 100 = 97.43 % or 97 % d\"" - }, - { - "Answer": 210, - "Options": "a ) $ 190 , b ) $ 180 , c ) $ 200 , d ) $ 240 , e ) $ 210", - "Correct": "e", - "Explanation": "\"200 amounts to 240 in 3 years . i . e ( principal + interest ) on 120 in 3 years = 240 200 + 200 * ( r / 100 ) * ( 3 ) = 240 = > r = 20 / 3 150 in 6 years = principal + interest = 150 + 150 * ( r / 100 ) * ( 6 ) = 210 answer is e .\"" - }, - { - "Answer": 29.99999625000047, - "Options": "a ) 30 , b ) 36 , c ) 40 , d ) 50 , e ) 48", - "Correct": "a", - "Explanation": "\"production cost per article : $ 60 * ( 100 % - 20 % ) / 20 = $ 2.40 required production costs for a loss of 20 % : $ 60 * ( 100 % + 20 % ) = $ 72 number of articles to be sold for $ 72 to incur a 20 % loss : $ 72 / $ 2.40 = 30 thus , solution a is correct .\"" - }, - { - "Answer": 5999.999999999999, - "Options": "a ) 5500 , b ) 6000 , c ) 6500 , d ) 7000 , e ) 7500", - "Correct": "b", - "Explanation": "\"35 % - - - - - - - - - - - l 65 % - - - - - - - - - - - w - - - - - - - - - - - - - - - - - - 30 % = 1800 10 % = 600 100 % of the votes = 6000 answer : b\"" - }, - { - "Answer": 0.2, - "Options": "a ) 1 / 5 , b ) 1 / 3 , c ) 1 / 2 , d ) 1 , e ) 3", - "Correct": "a", - "Explanation": "\"concentration of salt in pure solution = 0 concentration of salt in salt solution = 60 % concentration of salt in the mixed solution = 10 % the pure solution and the salt solution is mixed in the ratio of - - > ( 60 - 10 ) / ( 10 - 0 ) = 5 / 1 1 / x = 5 / 1 x = 1 / 5 answer : a\"" - }, - { - "Answer": 56.00000000000001, - "Options": "a ) 50 % , b ) 60 % , c ) 65 % , d ) 56 % , e ) 45 %", - "Correct": "d", - "Explanation": "consider base price - $ 100 25 % increase = 1.30 * 100 = $ 130 another 20 % increase on new price = 1.2 * 130 = $ 156 so final price of radio - $ 156 therefore a 56 % increase correct option - d" - }, - { - "Answer": 12000, - "Options": "a ) rs 14000 , b ) rs 15000 , c ) rs 12000 , d ) rs 17000 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : s . i . = p \u00e2 \u02c6 \u2014 r \u00e2 \u02c6 \u2014 t / 100 = > p = s . i . \u00e2 \u02c6 \u2014 100 / r \u00e2 \u02c6 \u2014 t = > p = 4320 \u00e2 \u02c6 \u2014 100 / 12 \u00e2 \u02c6 \u2014 3 = rs 12000 option c\"" - }, - { - "Answer": 117.05729564344323, - "Options": "a ) 117 % , b ) 120 % , c ) 121 % , d ) 135 % , e ) 140 %", - "Correct": "a", - "Explanation": "since michelle earns 6.4 % interest compounded semiannually , then she earns 3.2 % interest every 6 months . now , the simple interest earned in 5 periods ( 30 months = 5 * 6 months ) would be 3.2 % * 5 = 16 % . but , since the interest iscompoundedevery 6 months , then there would be interest earned on interest ( very small amount ) thus the actual interest earned would be a little bit more than 16 % , only answer choice a fits . answer : a" - }, - { - "Answer": 2.5, - "Options": "a ) 3 , b ) 3.5 , c ) 2.5 , d ) 4 , e ) 4.5", - "Correct": "c", - "Explanation": "10 grams of combined mixture and 40 % blue pigment means that the mixtures were mixed 50 % each . thus 5 grams a piece . out of the 5 grams of the dark blue paint , 60 % is red . therefore , 5 * . 5 = 2.5 grams of red pigment" - }, - { - "Answer": 600, - "Options": "a ) 540 , b ) 560 , c ) 580 , d ) 600 , e ) 680", - "Correct": "d", - "Explanation": "\"p - 360 = ( p * 5 * 8 ) / 100 p = 600 the answer is d .\"" - }, - { - "Answer": 27.999999999999996, - "Options": "a ) 28 % , b ) 30 % , c ) 32 % , d ) 34 % , e ) 36 %", - "Correct": "a", - "Explanation": "\"let x be mork ' s income , then mindy ' s income is 4 x . the total tax paid is 0.4 x + 1.0 x = 1.4 x 1.4 x / 5 x = 0.28 the answer is a .\"" - }, - { - "Answer": 14520.000000000004, - "Options": "a ) 12100 , b ) 15240 , c ) 12456 , d ) 11452 , e ) 14520", - "Correct": "e", - "Explanation": "\"the required population is = 12000 ( 1 + 10 / 100 ) ^ 2 = 12000 * 11 / 10 * 11 / 10 = 14520 answer is e\"" - }, - { - "Answer": 1446.000000000029, - "Options": "a ) 482 , b ) 725 , c ) 992 , d ) 1446 , e ) 923", - "Correct": "d", - "Explanation": "\"60000 ( 11 / 10 ) 4 - 60000 ( 6 / 5 ) 2 = 1446 answer : d\"" - }, - { - "Answer": 40.35087719298245, - "Options": "a ) 16 % , b ) 17 % , c ) 40 % , d ) 58 % , e ) 13 %", - "Correct": "c", - "Explanation": "\"total cp = rs . 45000 + rs . 12000 = rs . 57000 and sp = rs . 80000 profit ( % ) = ( 80000 - 57000 ) / 57000 * 100 = 40 % answer : c\"" - }, - { - "Answer": 123.56, - "Options": "a ) 123.56 , b ) 1.2356 , c ) 12.356 , d ) 0.012356 , e ) 0.0012356", - "Correct": "a", - "Explanation": "since , percent = 1 / 100 , what = something ( s ) , and is : = . we can write the question as s = 1 ( 1 / 100 ) 12,356 . the answer is 123.56 . hence , the correct answer is a ." - }, - { - "Answer": 4.0000000000000036, - "Options": "a ) 5 % , b ) 4 % , c ) - 4 % , d ) - 12 % , e ) 2 %", - "Correct": "b", - "Explanation": "the resultant profit or loss = 30 - 20 - ( 30 * 20 ) / 100 = 4 % profit = 4 % answer is b" - }, - { - "Answer": 9, - "Options": "a ) 9 % , b ) 10 % , c ) 10 5 / 8 % , d ) 11 % , e ) 12 %", - "Correct": "a", - "Explanation": "\"the ratio of investments is 500 : 1,500 = 1 : 3 . the deviation from the average return from $ 500 investment and $ 1,500 investment must be in the ration 3 : 1 . $ 500 investment return has the deviation from the mean of 8.5 - 7 = 1.5 % , thus $ 1,500 investment return must have the deviation from the mean equal to 0.5 % , which means that $ 1 , 500 investment has 8.5 + 0.5 = 9 % yearly return . answer : a .\"" - }, - { - "Answer": 20, - "Options": "a ) 15 % , b ) 18 % , c ) 20 % , d ) 21 % , e ) 22 %", - "Correct": "c", - "Explanation": "the number of silver cars is 0.1 * 40 + 0.25 * 80 = 24 the percentage of cars which are silver is 24 / 120 = 20 % the answer is c ." - }, - { - "Answer": 800, - "Options": "a ) rs . 600 , b ) rs . 800 , c ) rs . 500 , d ) rs . 900 , e ) rs . 970", - "Correct": "b", - "Explanation": "\"let the cost of one toy = x . then , cost of 18 toys = 18 x . gain = 3 x . sp of 18 toys = rs . 16800 . gain = sp \u2013 cp 3 x = 16800 \u2013 18 x 21 x = 16800 x = rs . 800 . answer : b\"" - }, - { - "Answer": 131.57894736842104, - "Options": "a ) 131.58 , b ) 62.0 , c ) 62.6 , d ) 62.1 , e ) 62.2", - "Correct": "a", - "Explanation": "\"cp = 100 sp = 100 * ( 125 / 100 ) = 125 mp * ( 95 / 100 ) = 125 mp = 131.58 answer : a\"" - }, - { - "Answer": 28.57142857142858, - "Options": "a ) 13.6 % , b ) 28.6 % , c ) 35.6 % , d ) 42.3 % , e ) none", - "Correct": "b", - "Explanation": "\"sol . let marked price = rs . 100 . then , c . p . = rs . 70 . s . p = rs . 90 . \u00e2 \u02c6 \u00b4 gain % = [ 20 / 70 * 100 ] % = 28.6 % . answer b\"" - }, - { - "Answer": 11, - "Options": "a ) 8.5 , b ) 10.0 , c ) 12.5 , d ) 11.0 , e ) 8.25", - "Correct": "d", - "Explanation": "rate of still water = 1 / 2 ( down stream + upstream ) = 1 / 2 ( 45 + 23 ) = 34 kmph rate of current = 1 / 2 ( down stream - upstream ) = 1 / 2 ( 45 - 23 ) = 1 / 2 ( 22 ) = 11 kmph answer is d ." - }, - { - "Answer": 10.25, - "Options": "a ) 10.4 % , b ) 10.25 % , c ) 10.23 % , d ) 10.26 % , e ) 10.5 %", - "Correct": "b", - "Explanation": "\"100 cm is read as 102 cm . a 1 = ( 100 x 100 ) cm 2 and a 2 ( 105 x 105 ) cm 2 . ( a 2 - a 1 ) = [ ( 105 ) 2 - ( 100 ) 2 ] = ( 105 + 100 ) x ( 105 - 100 ) = 1025 cm 2 . percentage error = 10.25 b\"" - }, - { - "Answer": 66, - "Options": "a ) s . 59 , b ) s . 58 , c ) s . 09 , d ) s . 50 , e ) s . 66", - "Correct": "e", - "Explanation": "\"sp per metre = 12000 / 200 = rs . 60 loss per metre = rs . 6 cp per metre = 60 + 6 = rs . 66 answer : e\"" - }, - { - "Answer": 130, - "Options": "a ) 90 , b ) 103 , c ) 130 , d ) 115 , e ) 120", - "Correct": "c", - "Explanation": "first 100 machines = 3 % commission = 0.03 * 100 * 10000 = 30000 commission from sale of next machines = 42000 - 30000 = 12000 so 30 more machines . . total = 130 machines imo c . . ." - }, - { - "Answer": 7752, - "Options": "a ) $ 7524 , b ) $ 7752 , c ) $ 7880 , d ) $ 8196 , e ) $ 8324", - "Correct": "b", - "Explanation": "0.95 * 0.85 * 0.8 * 12000 = $ 7752 the answer is b ." - }, - { - "Answer": 50, - "Options": "a ) 40 % , b ) 50 % , c ) 55 % , d ) 80 % , e ) 90 %", - "Correct": "b", - "Explanation": "\"given cash discount - 10 % profit - 20 % items sold - 45 price sold at = list price of 40 assume list price = $ 10 total invoice = $ 400 - 10 % cash discount = $ 360 let cost price of 45 items be x so total cost = 45 * x given the shopkeeper had a profit of 20 % 45 * x * 120 / 100 = 360 or x = $ 20 / 3 = $ 6 + ( 2 / 3 ) which means his products were listed at $ 10 which is a 50 % markup over $ 6 + ( 2 / 3 ) answer b\"" - }, - { - "Answer": 2519, - "Options": "a ) 2588 , b ) 2474 , c ) 2254 , d ) 2519 , e ) 8725", - "Correct": "d", - "Explanation": "d 2519 the number has to end in 9 . looked brute force for small numbers . 59 and 119 were promising , but no cigar . then looked for agreement among 39 + multiples of 40 , 69 + multiples of 70 and 89 + multiples of 90 smallest one was 2519 ." - }, - { - "Answer": 1750, - "Options": "a ) 3000 , b ) 1230 , c ) 1750 , d ) 5600 , e ) 3400", - "Correct": "c", - "Explanation": "\"c . p . be rs . x . then , ( 1520 - x ) / x * 100 = ( x - 1280 ) / x * 100 1520 - x = x - 1280 2 x = 2800 = > x = 1400 required s . p . = 125 % of rs . 1400 = 125 / 100 * 1400 = rs . 1750 . answer c\"" - }, - { - "Answer": 8, - "Options": "a ) 5 % , b ) 6 % , c ) 7 % , d ) 8 % , e ) 9 %", - "Correct": "d", - "Explanation": "\"explanation : here firstly we need to calculate the principal amount , then we can calculate the new rate . p = s . i . \u2217 100 / r \u2217 t p = 840 \u2217 100 / 5 \u2217 8 p = 2100 required rate = 840 \u2217 100 / 5 \u2217 2100 r = 8 % option d\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 18.33 kg , b ) 21.50 kg , c ) 25.00 kg , d ) 33.33 kg , e ) 40.39 kg", - "Correct": "d", - "Explanation": "\"from the question we know : 100 kg * 70 % = 70 kg of water in the fresh grapes 100 kg - 70 kg of water = 30 kg of non - water mass we are looking for the weight of the dry grapes ( x ) . since the question tells us that 10 % of the weight of the dry graps is water and we know that 30 kg is non - water mass we can set up the following equation : x = 1 / 10 ( x ) + 30 kg 9 / 10 ( x ) = 30 kg x = 33.33 kg answer - d\"" - }, - { - "Answer": 400, - "Options": "a ) $ 400.00 , b ) $ 412.40 , c ) $ 455.40 , d ) $ 474.90 , e ) $ 488.20", - "Correct": "a", - "Explanation": "540 = 1.35 * x x = 540 / 1.35 = 400 $ 400 , which is ( a ) ." - }, - { - "Answer": 1052, - "Options": "a ) rupees 1052 , b ) rs 1152 , c ) rs 1252 , d ) rs 1352 , e ) none of these", - "Correct": "a", - "Explanation": "explanation : s . i . = 956 - 800 = rs 156 r = 156 \u2217 100 / 800 \u2217 3 r = 6 1 / 2 % new rate = 6 1 / 2 + 4 = 21 / 2 % new s . i . = 800 \u00d7 21 / 2 \u00d7 3100 = 252 now amount will be 800 + 252 = 1052 option a" - }, - { - "Answer": 8100, - "Options": "a ) 4300 , b ) 4500 , c ) 8100 , d ) 5230 , e ) 5366", - "Correct": "c", - "Explanation": "\"10000 \u00d7 90 / 100 \u00d7 90 / 100 = 8100 answer : c\"" - }, - { - "Answer": 200000, - "Options": "a ) a ) 452000 , b ) b ) 200000 , c ) c ) 800000 , d ) d ) 500000 , e ) e ) 652000", - "Correct": "b", - "Explanation": "\"3 children got = 3 * 15 % = 45 % wife got = 30 % orphan house = 5 % total = 45 + 30 + 5 = 80 % remaining = 100 - 80 = 20 % 20 % = 40000 100 % = 40000 * 100 / 20 = $ 200000 answer is b\"" - }, - { - "Answer": 20, - "Options": "a ) 20 % , b ) 25 % , c ) 18 % , d ) 30 % , e ) none of these", - "Correct": "a", - "Explanation": "here , l = 6 and m = 30 therefore , first number = l / m x 100 % of second number = 6 / 30 x 100 % of second number = 20 % of second number answer : a" - }, - { - "Answer": 4, - "Options": "a ) 4 % , b ) 7 % , c ) 6 % , d ) 4 % , e ) 3 %", - "Correct": "d", - "Explanation": "\"explanation : let the principal ( p ) be x then , simple interest ( si ) = x / 5 time ( t ) = 5 years rate of interest per annum ( r ) = ( 100 \u00d7 si ) / pt = ( 100 \u00d7 ( x / 5 ) / ( x \u00d7 5 ) = 20 / 5 = 4 % answer : option d\"" - }, - { - "Answer": 40000, - "Options": "a ) 20000 , b ) 10000 , c ) 25000 , d ) 34000 , e ) 40000", - "Correct": "e", - "Explanation": "\"sol = ~ s - so anju \u2019 s share = [ 5 / 9 ] x 72000 = 40000 e\"" - }, - { - "Answer": 80000, - "Options": "a ) 70000 , b ) 60000 , c ) 80000 , d ) 90000 , e ) 50000", - "Correct": "c", - "Explanation": "a : b : c = 27000 : 72000 : 81000 = 3 : 8 : 9 let total profit = p then p \u00d7 9 / 20 = 36000 p = ( 36000 \u00d7 20 ) / 9 = 80000 answer is c ." - }, - { - "Answer": 955.8823529411766, - "Options": "a ) 955 , b ) 550 , c ) 600 , d ) 700 , e ) 750", - "Correct": "a", - "Explanation": "\"sp * ( 68 / 100 ) = 650 sp = 9.55 * 100 = > cp = 955 answer : a\"" - }, - { - "Answer": 25, - "Options": "a ) 2 , b ) 25 , c ) 92 , d ) 96 , e ) 98", - "Correct": "b", - "Explanation": "out of 100 pounds 99 % or 99 pounds is water and 1 pound is non - water . after somewaterevaporates the cucumbers become 96 % water and 4 % of non - water , so now 1 pound of non - water composes 4 % of cucucmbers , which means that the new weight of cucumbers is 1 / 0.04 = 25 pounds . answer : b ." - }, - { - "Answer": 5000, - "Options": "a ) $ 4500 , b ) $ 3500 , c ) $ 5500 , d ) $ 5000 , e ) $ 6300", - "Correct": "d", - "Explanation": "total manufacturing cost = 10000 + 500 * 20 = 20000 total selling cost = 500 * 50 = 25000 profit = 25000 - 20000 = 5000 answer : d" - }, - { - "Answer": 42.85714285714286, - "Options": "a ) 42.8 % , b ) 25 % , c ) 55 % , d ) 28 % , e ) 55 %", - "Correct": "a", - "Explanation": "\"700 - - - 300 100 - - - ? = > 42.8 % answer : a\"" - }, - { - "Answer": 1640, - "Options": "a ) 1888 , b ) 1640 , c ) 2768 , d ) 2976 , e ) 2691", - "Correct": "b", - "Explanation": "\"( x * 8 * 3 ) / 100 = ( ( 2665 - x ) * 3 * 5 ) / 100 24 x / 100 = 39975 / 100 - 15 x / 100 39 x = 39975 = > x = 1025 second sum = 2665 \u2013 1025 = 1640 answer : b\"" - }, - { - "Answer": 2000, - "Options": "a ) 7000 , b ) 7029 , c ) 2778 , d ) 2800 , e ) 2000", - "Correct": "e", - "Explanation": "\"let the sum be rs . x . ( x * 18 * 2 ) / 100 - ( x * 12 * 2 ) / 100 = 240 = > 36 x / 100 - 24 x / 100 = 240 = > 12 x / 100 = 240 = > x = 2000 . answer : e\"" - }, - { - "Answer": 25, - "Options": "a ) 25 % , b ) 34 % , c ) 22 % , d ) 18 % , e ) 8.5 %", - "Correct": "a", - "Explanation": "\"consider total solution to be 100 liters and in this case you ' ll have : 75 * 0.13 + 25 * x = 100 * 0.16 - - > x = 0.25 . answer : a .\"" - }, - { - "Answer": 499.99999999999994, - "Options": "a ) 501.13 , b ) 502.13 , c ) 503.13 , d ) 504.13 , e ) 505.13", - "Correct": "c", - "Explanation": "it is monthly compound rate = 5 / 12 % per month 30000 * ( 1 + 5 / 1200 ) ^ 4 - 30000 = 503.13 answer : c" - }, - { - "Answer": 82.00000000000001, - "Options": "a ) 160 , b ) 150 , c ) 82 , d ) 80 , e ) 50", - "Correct": "c", - "Explanation": "\"say there are a gallons of fuel a in the tank , then there would be 208 - a gallons of fuel b . the amount of ethanol in a gallons of fuel a is 0.12 a ; the amount of ethanol in 208 - a gallons of fuel b is 0.16 ( 208 - a ) ; since the total amount of ethanol is 30 gallons then 0.12 a + 0.16 ( 208 - a ) = 30 - - > a = 82 . answer : c .\"" - }, - { - "Answer": 5.0625, - "Options": "a ) 6.04 % , b ) 5.14 % , c ) 5.23 % , d ) 5.0625 % , e ) 5.5 %", - "Correct": "d", - "Explanation": "\"100 cm is read as 102 cm . a 1 = ( 100 x 100 ) cm 2 and a 2 ( 102.5 x 102.5 ) cm 2 . ( a 2 - a 1 ) = [ ( 102.5 ) 2 - ( 100 ) 2 ] = ( 102.5 + 100 ) x ( 102.5 - 100 ) = 506.25 cm 2 . percentage error = 5.0625 d\"" - }, - { - "Answer": 3.74999999999992, - "Options": "a ) 8.0 , b ) 3.0 , c ) 9.5 , d ) 3.75 , e ) 2.15", - "Correct": "d", - "Explanation": "\"s . i . = ( 1500 * 10 * 1 ) / 100 = rs . 150 c . i . = [ 1500 * ( 1 + 5 / 100 ) 2 - 1500 ] = rs . 153.75 difference = ( 153.75 - 150 ) = rs . 3.75 answer : d\"" - }, - { - "Answer": 0.3333333333333333, - "Options": "a ) 1 / 3 , b ) 1 / 7 , c ) 1 / 2 , d ) 2 / 3 , e ) 5 / 7", - "Correct": "a", - "Explanation": "let assume there are 100 students of which 70 are male and 30 are females if 30 are married then 70 will be single . now its given that two - sevenths of the male students are married that means 1 / 7 of 70 = 10 males are married if 30 is the total number of students who are married and out of that 10 are males then the remaining 20 will be females who are married . total females = 30 married females = 20 then single females = 30 - 20 = 10 we need to find the fraction of female students who are single i . e single female students / total female student = 10 / 30 = 1 / 3 [ a ]" - }, - { - "Answer": 120, - "Options": "a ) 270 , b ) 380 , c ) 120 , d ) 360 , e ) 180", - "Correct": "c", - "Explanation": "\"explanation : 40 % = 40 * 4 = 160 30 % = 30 * 4 = 120 answer : option c\"" - }, - { - "Answer": 240, - "Options": "a ) 12 , b ) 120 , c ) 24 , d ) 240 , e ) 36", - "Correct": "d", - "Explanation": "\"let 0.1 % of x = 0.24 . then , 0.1 * x / 100 = 0.24 x = [ ( 0.24 * 100 ) / 0.1 ] = 240 . answer is d .\"" - }, - { - "Answer": 0.9473684210526315, - "Options": "a ) 1 / 14 , b ) 4 / 49 , c ) 18 / 19 , d ) 45 / 49 , e ) 13 / 14", - "Correct": "c", - "Explanation": "\"15 students are interested , 5 are not interested prob = 1 - 5 c 2 / 20 c 2 = 1 - ( 5 * 4 / ( 20 * 19 ) ) = 1 - 1 / 19 = 18 / 19 answer : c\"" - }, - { - "Answer": 4, - "Options": "a ) 4 , b ) 5 , c ) 8 , d ) 9 , e ) 10", - "Correct": "a", - "Explanation": "\"solution speed in still water = 1 / 2 ( 6 + 2 ) km / hr = 4 kmph . answer a\"" - }, - { - "Answer": 63.63636363636363, - "Options": "a ) 28 % , b ) 41 % , c ) 45 % , d ) 64 % , e ) 78 %", - "Correct": "d", - "Explanation": "\"total population = 60 ( assume ) . 4 / 6 * 60 = 40 people from montague . 2 / 6 * 60 = 20 people from capulet . 0.2 * 40 = 8 people from montague support juliet . 0.7 * 20 = 14 people from capulet support juliet . the probability that a juliet supporter chosen at random resides in capulet is 14 / ( 8 + 14 ) = ~ 64 . answer : d\"" - }, - { - "Answer": 11.538461538461538, - "Options": "a ) 5.45 % , b ) 6.23 % , c ) 7 % , d ) 8.12 % , e ) 11.5 %", - "Correct": "e", - "Explanation": "\"c . p . = 4400 + 800 = $ 5200 s . p . = $ 5800 gain = 5800 - 5200 = $ 600 gain % = 600 / 5200 * 100 = 11.5 % answer is e\"" - }, - { - "Answer": 5, - "Options": "a ) 3 , b ) 5 , c ) 7 , d ) 9 , e ) 11", - "Correct": "b", - "Explanation": "\"63 / 60 = 1.05 the answer is b .\"" - }, - { - "Answer": 20, - "Options": "a ) + 20 % , b ) - 25 % , c ) + 305 , d ) - 30 % , e ) can not determined", - "Correct": "a", - "Explanation": "solution : let the initial revenue be 100 . 100 - - - - - 50 % \u2191 ( ticket up ) - - - - - > 150 - - - - - 20 % \u2193 ( visitors down ) - - - - - > 120 . there is 20 % increase in the revenue . answer : option a" - }, - { - "Answer": 60, - "Options": "a ) 16 % , b ) 16.66 % , c ) 17.9 % , d ) 18.12 % , e ) 60 %", - "Correct": "e", - "Explanation": "\"increase = ( 30 / 50 ) * 100 = ( 3 / 5 ) * 100 = 60 % . e\"" - }, - { - "Answer": 25.2, - "Options": "a ) $ 10.00 , b ) $ 11.20 , c ) $ 14.40 , d ) $ 25.20 , e ) $ 18.00", - "Correct": "d", - "Explanation": "\"for retail price = $ 45 first maximum discounted price = 45 - 30 % of 45 = 45 - 13.5 = 31.5 price after additional discount of 20 % = 31.5 - 20 % of 31.5 = 31.5 - 6.3 = 25.2 answer : option d\"" - }, - { - "Answer": 461.53846153846155, - "Options": "a ) 400 , b ) 420 , c ) 461.5 , d ) 500 , e ) 600", - "Correct": "c", - "Explanation": "\"minimum no of mail to be sent for getting 300 responses at 65 % = 300 / 0.65 = 461.5 option c\"" - }, - { - "Answer": 180, - "Options": "a ) $ 198 , b ) $ 216 , c ) $ 220 , d ) $ 180 , e ) $ 240", - "Correct": "d", - "Explanation": "wholesale cost of video recorder = 200 $ video recorder was priced at 20 percent above 200 = 240 $ % discount given by store employee = 25 emlpoyee paid = . 75 * 240 = 180 $ answer d" - }, - { - "Answer": 250, - "Options": "a ) 400 , b ) 625 , c ) 250 , d ) 2,500 , e ) 10,000", - "Correct": "c", - "Explanation": "\"total fish = x percentage of second catch = ( 10 / 50 ) * 100 = 20 % so , x * 20 % = 50 x = 250 ans . c\"" - }, - { - "Answer": 340, - "Options": "a ) 280 , b ) 290 , c ) 342 , d ) 250 , e ) 253", - "Correct": "c", - "Explanation": "400 * ( 90 / 100 ) * ( 95 / 100 ) = 342 c" - }, - { - "Answer": 75, - "Options": "a ) $ 100 , b ) $ 75 , c ) $ 20 , d ) $ 120 , e ) $ 50", - "Correct": "b", - "Explanation": "\"a : b = 300 * 12 : 200 * 6 a : b = 3 : 1 a ' s share = 100 * 3 / 4 = $ 75 answer is b\"" - }, - { - "Answer": 83.33333333333334, - "Options": "a ) 79 , b ) 81 , c ) 82 , d ) 83 , e ) 85", - "Correct": "d", - "Explanation": "\"40 % were boy scouts so 60 % ( 100 - 40 = 60 ) were girl scouts . # of boy scouts with permission slips signed + # of girl scouts with permission slips signed = total # with permission slip signed ( 75 % of 40 % of the total going ) + ( ? % of 60 % of the total going ) = 80 % of the total going we can let the ` ` total going ' ' = 100 arbitrarily since we only care about the percent ( of girl scouts w / permission signed ) . 75 * . 40 * 100 + x * . 60 * 100 = . 80 * 100 30 + x * 60 = 80 60 x = 50 x = 50 / 60 x = . 833333 converting this to a percent , we have 83 % d\"" - }, - { - "Answer": 133875, - "Options": "a ) 122762 , b ) 132877 , c ) 122882 , d ) 133875 , e ) 132887", - "Correct": "d", - "Explanation": "\"principal = ( 100 * 4016.25 ) / ( 1 * 3 ) = rs . 133875 . answer : d\"" - }, - { - "Answer": 800, - "Options": "a ) 191 , b ) 355 , c ) 800 , d ) 840 , e ) 900", - "Correct": "c", - "Explanation": "\"let weight of side of beef before processing = x ( 80 / 100 ) * x = 640 = > x = ( 640 * 100 ) / 80 = 800 answer c\"" - }, - { - "Answer": 17, - "Options": "a ) 8 % , b ) 10 % , c ) 11 % , d ) 17 % , e ) 20 %", - "Correct": "d", - "Explanation": "\"explanation : marked price = rs . 30 c . p . = 100 / 130 * 30 = rs . 23.07 sale price = 90 % of rs . 30 = rs . 27 required gain % = 3.92 / 23.07 * 100 = 17 % . answer : d\"" - }, - { - "Answer": 270, - "Options": "a ) s 222 , b ) s 216 , c ) s 220 , d ) s 270 , e ) s 217", - "Correct": "d", - "Explanation": "\"explanation : total cost of a watch = 220 + ( 500 / 100 ) = 225 . gain = 20 % = > sp = 1.2 cp = 1.2 x 225 = 270 answer : d\"" - }, - { - "Answer": 224.5, - "Options": "a ) 220.3 , b ) 224.5 , c ) 190.3 , d ) 150 , e ) none of these", - "Correct": "b", - "Explanation": "explanation : 28 % of 400 + 45 % of 250 = ( 28 / 100 * 400 + 45 / 100 * 250 ) = ( 112 + 112.5 ) = 224.5 answer b" - }, - { - "Answer": 10, - "Options": "a ) 5 % , b ) 10 % , c ) 7 % , d ) 8 % , e ) 9 %", - "Correct": "b", - "Explanation": "\"explanation : let the rate of interest per annum be r % simple interest for rs . 5000 for 2 years at rate r % per annum + simple interest for rs . 3000 for 4 years at rate r % per annum = rs . 2200 \u21d2 5000 \u00d7 r \u00d7 2 / 100 + 3000 \u00d7 r \u00d7 4 / 100 = 2200 \u21d2 100 r + 120 r = 2200 \u21d2 220 r = 2200 \u21d2 r = 10 i . e , rate = 10 % . answer : option b\"" - }, - { - "Answer": 19.7, - "Options": "a ) 19.7 , b ) 20 , c ) 21.3 , d ) 21.5 , e ) 22", - "Correct": "a", - "Explanation": "\"total cost of the items he purchased = rs . 25 given that out of this rs . 25 , 30 paise is given as tax = > total tax incurred = 30 paise = rs . 30 / 100 let the cost of the tax free items = x given that tax rate = 6 % \u2234 ( 25 \u2212 30 / 100 \u2212 x ) 6 / 100 = 30 / 100 \u21d2 6 ( 25 \u2212 0.3 \u2212 x ) = 30 \u21d2 ( 25 \u2212 0.3 \u2212 x ) = 5 \u21d2 x = 25 \u2212 0.3 \u2212 5 = 19.7 a\"" - }, - { - "Answer": 1900, - "Options": "a ) 2997 , b ) 1900 , c ) 2887 , d ) 2898 , e ) 27912", - "Correct": "b", - "Explanation": "\"65 * 6 : 84 * 5 : 100 * 3 26 : 28 : 20 c share = 74000 * 95 / 100 = 7030 * 20 / 74 = > 1900 . answer : b\"" - }, - { - "Answer": 5, - "Options": "a ) 6 % , b ) 2 % , c ) 4 % , d ) 5 % , e ) 3 %", - "Correct": "d", - "Explanation": "\"150 = ( 750 * 4 * r ) / 100 r = 5 % answer : d\"" - }, - { - "Answer": 360, - "Options": "a ) s . 345 , b ) s . 350 , c ) s . 352 , d ) s . 360 , e ) s . 368", - "Correct": "d", - "Explanation": "\"suresh : rohan : sudhir ratio of their investments = 18000 \u00d7 12 : 12000 \u00d7 9 : 9000 \u00d7 8 = 6 : 3 : 2 the difference between rohan \u2019 s and sudhir \u2019 s share = 1 share : . i . e . = rs . 3960 \u00d7 1 / 11 = rs . 360 . d\"" - }, - { - "Answer": 240, - "Options": "a ) 220 , b ) 210 , c ) 240 , d ) 250 , e ) 260", - "Correct": "c", - "Explanation": "\"explanation : 20 % = 20 * 3 = 60 80 % = 80 * 3 = 240 answer : option c\"" - }, - { - "Answer": 12.719999999999999, - "Options": "a ) $ 9.84 , b ) $ 10.68 , c ) $ 11.26 , d ) $ 12.72 , e ) $ 13.54", - "Correct": "d", - "Explanation": "the total cost was $ 30 . the tax was $ 1.28 let the original price of the taxable items = x given that tax rate = 8 % 0.08 x = 1.28 x = $ 16 the cost of the tax free items was $ 30 - $ 16 - $ 1.28 = $ 12.72 the answer is d ." - }, - { - "Answer": 120, - "Options": "a ) 81 , b ) 100 , c ) 120 , d ) 135 , e ) 160", - "Correct": "c", - "Explanation": "\"since the wholesale price was $ 90 and the profit was 20 % of the wholesale price ( [ . 2 ] [ 90 ] = $ 18 ) , the retail price would have to be above $ 108 , but not that much greater than that . let ' s start by testing answer c : $ 120 . . . . if . . . . . retail price w = $ 120 10 % discount off = $ 120 - ( . 1 ) ( 120 ) = 120 - 12 = 108 20 % profit on wholesale price = 90 + ( . 2 ) ( 90 ) = 90 + 18 = 108 these two numbers match , so this must be the answer ! final answer : [ reveal ] spoiler : c\"" - }, - { - "Answer": 525, - "Options": "a ) 725 , b ) 625 , c ) 225 , d ) 525 , e ) 425", - "Correct": "d", - "Explanation": "explanation final number = initial number + 50 % ( original number ) = 350 + 50 % ( 350 ) = 350 + 175 = 525 . answer d" - }, - { - "Answer": 21.000000000000004, - "Options": "a ) 19 % , b ) 21 % , c ) 23 % , d ) 25 % , e ) 27 %", - "Correct": "b", - "Explanation": "\"let x be mork ' s income , then mindy ' s income is 4 x . the total tax paid is 0.45 x + 0.6 x = 1.05 x 1.05 x / 5 x = 0.21 the answer is b .\"" - }, - { - "Answer": 0.5, - "Options": "a ) 1 / 3 , b ) 1 / 2 , c ) 1 / 4 , d ) 1 / 5 , e ) 1 / 6", - "Correct": "b", - "Explanation": "\"this is a weighted average question . say x % of the solution was replaced - - > equate the amount of chemicals : 0.8 ( 1 - x ) + 0.2 * x = 0.5 - - > x = 1 / 2 . answer : b .\"" - }, - { - "Answer": 165, - "Options": "a ) 142 % , b ) 150 % , c ) 165 % , d ) 176 % , e ) 188 %", - "Correct": "c", - "Explanation": "\"let last year ' s salary be x . last year , sandy save 0.1 x this year , sandy saved 0.15 * 1.1 x = 0.165 x 0.165 x / 0.1 x = 1.65 = 165 % the answer is c .\"" - }, - { - "Answer": 65.24725274725274, - "Options": "a ) 65.25 , b ) 62.6 , c ) 62.1 , d ) 62.7 , e ) 62.2", - "Correct": "a", - "Explanation": "\"cp = 47.50 sp = 47.50 * ( 125 / 100 ) = 59.375 mp * ( 91 / 100 ) = 59.375 mp = 65.25 answer : a\"" - }, - { - "Answer": 61.00000000000001, - "Options": "a ) 61 % , b ) 70 % , c ) 75 % , d ) 85 % , e ) 95 %", - "Correct": "a", - "Explanation": "\"find the product of the two increases : ( 1.4 ) * ( . 15 ) , which is 1.61 and a 61 % increase . a\"" - }, - { - "Answer": 8, - "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 7 , e ) 8", - "Correct": "e", - "Explanation": "till year 2000 , population is 100 . year 2001 : population becomes 110 . . . . . . . . . . . . . 1 year elapsed year 2002 : population becomes 121 . . . . . . . . . . . . . 2 year elapsed year 2003 : population becomes > 133 . . . . . . . . . . . . . 3 year elapsed year 2004 : population becomes > 146 . . . . . . . . . . . . . . . . . . 4 year elapsed year 2005 : population becomes > 160 . . . . . . . . . . . . . . . . . . 5 year elapsed year 2006 : population becomes > 176 . . . . . . . . . . . . . . . . . . 6 year elapsed year 2007 : population becomes > 193 . . . . . . . . . . . . . . . . . . 7 year elapsed year 2008 : population > 200 . . . . . . . . . . . . . . . . . . 8 year elapsed answer : e" - }, - { - "Answer": 15, - "Options": "a ) 12 , b ) 15 , c ) 20 , d ) 24 , e ) 120", - "Correct": "b", - "Explanation": "if the mixture contains 2 pounds of timothy , the mixture must be 40 pounds . thus we need 40 pounds of mixture per acre . 600 / 40 = 15 acres the answer is b ." - }, - { - "Answer": 8925, - "Options": "a ) 4462.5 , b ) 8032.5 , c ) 8925 , d ) none of these , e ) can not be determined", - "Correct": "c", - "Explanation": "\"explanation : principal = ( 100 x 4016.25 ) / ( 9 x 5 ) = 401625 / 45 = 8925 answer : option c\"" - }, - { - "Answer": 90, - "Options": "a ) 90 % , b ) 25 % , c ) 45 % , d ) 55 % , e ) 65 %", - "Correct": "a", - "Explanation": "\"let the 3 rd subject % = x 50 + 70 + x = 3 * 70 120 + x = 210 x = 210 - 120 = 90 answer : a\"" - }, - { - "Answer": 22.999999999999986, - "Options": "a ) 27.5 % , b ) 30 % , c ) 35 % , d ) 23 % , e ) 40 %", - "Correct": "d", - "Explanation": "\"assume the total price = 100 x price after 20 % markup = 120 x price after 25 % further markup = 1.25 * 120 x = 150 x price after the discount = 0.82 * 150 x = 123 x hence total profit = 23 % option d\"" - }, - { - "Answer": 1980, - "Options": "a ) 2800 , b ) 1980 , c ) 2900 , d ) 2200 , e ) 2300", - "Correct": "b", - "Explanation": "\"b number of valid votes = 80 % of 5500 = 4400 . valid votes polled by other candidate = 45 % of 4400 = ( 45 / 100 x 4400 ) = 1980 .\"" - }, - { - "Answer": 16940.000000000004, - "Options": "a ) 12100 , b ) 15240 , c ) 12456 , d ) 16940 , e ) 10002", - "Correct": "d", - "Explanation": "\"the required population is = 14000 ( 1 + 10 / 100 ) ^ 2 = 14000 * 11 / 10 * 11 / 10 = 16940 answer is d\"" - }, - { - "Answer": 12, - "Options": "a ) 19 , b ) 17 , c ) 13 , d ) 10 , e ) 12", - "Correct": "e", - "Explanation": "\"7 * 5 : 5 * x = 7 : 12 x = 12 answer : e\"" - }, - { - "Answer": 75, - "Options": "a ) 22 , b ) 099 , c ) 75 , d ) 26 , e ) 18", - "Correct": "c", - "Explanation": "\"let original radius = r . new radius = = original area = and new area = decrease in area = = 75 % answer : c\"" - }, - { - "Answer": 40, - "Options": "a ) 40 , b ) 30 , c ) 60 , d ) 80 , e ) 50", - "Correct": "a", - "Explanation": "\"let the number be x 30 % of 100 - 50 % of x = 10 50 / 100 x = ( 30 / 100 * 100 ) - 10 x / 2 = 20 x = 40 answer is a\"" - }, - { - "Answer": 45, - "Options": "a ) 12 , b ) 27 , c ) 29 , d ) 45 , e ) 21", - "Correct": "d", - "Explanation": "sp per metre = 18000 / 450 = rs . 40 loss per metre = rs . 5 cp per metre = 40 + 5 = rs . 45 . answer : d" - }, - { - "Answer": 143, - "Options": "a ) 143 , b ) 145 , c ) 156 , d ) 134 , e ) 100", - "Correct": "a", - "Explanation": "\"final number = initial number + 30 % ( original number ) = 110 + 30 % ( 110 ) = 110 + 33 = 143 . answer a\"" - }, - { - "Answer": 15, - "Options": "a ) 10 liters , b ) 15 liters , c ) 20 liters , d ) 18 liters , e ) 22 liters", - "Correct": "b", - "Explanation": "\"quantity of water in 10 liters = 5 % of 10 liters = 0.5 liters let x liters of pure milk be added . then , 0.5 / ( 10 + x ) = 2 / 100 2 x = 30 x = 15 liters answer is b\"" - }, - { - "Answer": 60, - "Options": "a ) 14.4 , b ) 180 / 7 , c ) 50.4 , d ) 60 , e ) 90", - "Correct": "d", - "Explanation": "\"60 % of area of the floor = 4 * 9 square feet = 36 square feet i . e . 100 % area of floor = ( 36 / 60 ) * 100 = 60 square feet answer : option d\"" - }, - { - "Answer": 20500, - "Options": "a ) 20000 , b ) 21500 , c ) 20500 , d ) 22000 , e ) 21000", - "Correct": "c", - "Explanation": "a : b : c = ( 20000 \u00d7 5 + 15000 \u00d7 7 ) : ( 20000 \u00d7 5 + 16000 \u00d7 7 ) : ( 20000 \u00d7 5 + 26000 \u00d7 7 ) = ( 20 \u00d7 5 + 15 \u00d7 7 ) : ( 20 \u00d7 5 + 16 \u00d7 7 ) : ( 20 \u00d7 5 + 26 \u00d7 7 ) = 205 : 212 : 282 a ' s share = 69900 \u00d7 205 / ( 205 + 212 + 282 ) = 69900 \u00d7 205 / 699 = 20500 answer is c ." - }, - { - "Answer": 25, - "Options": "a ) 25 % loss , b ) 16 2 / 8 % loss , c ) 16 3 / 3 % loss , d ) 36 2 / 3 % loss , e ) 56 2 / 3 % loss", - "Correct": "a", - "Explanation": "\"15 cp = 20 sp 20 - - - 5 cp loss 100 - - - ? = > 25 % loss answer : a\"" - }, - { - "Answer": 20000, - "Options": "a ) 20000 , b ) 10000 , c ) 25000 , d ) 34000 , e ) 30000", - "Correct": "a", - "Explanation": "\"sol = ~ s - so anju \u2019 s share = [ 5 / 9 ] x 36000 = 20000 a\"" - }, - { - "Answer": 52, - "Options": "a ) 40 % , b ) 44 % , c ) 48 % , d ) 52 % , e ) 56 %", - "Correct": "d", - "Explanation": "\"let x be the number of students in calculus . then the number of students in trigonometry is 1.5 x the number of students on beginner calculus is 0.7 x the number of students in beginner trigonometry is 4 / 5 * ( 2.5 x ) - 0.7 x = 1.3 x the percentage in beginner trigonometry is 1.3 x / 2.5 x = 52 % the answer is d .\"" - }, - { - "Answer": 50.5, - "Options": "a ) 50 , b ) 50.5 , c ) 56 , d ) 60 , e ) 63", - "Correct": "b", - "Explanation": "word problems are tricky in somehow more than other problem because you have the additional step to translate . breaking the problem : geoff how many votes he receives ? ? 30 votes he needs 3571 more votes so : 30 + 3000 = 3030 now what ' s the problem wants ? ? a x % . . . . . . . . 3030 is what % of total votes 6000 . . . . . . . . translating : 3030 = x / 100 * 6000 - - - x = 50.5 % . . . . . . . . . . b" - }, - { - "Answer": 0.7142857142857143, - "Options": "a ) 5 / 7 , b ) 6 / 7 , c ) 9 / 5 , d ) 13 / 9 , e ) 13 / 6", - "Correct": "a", - "Explanation": "this is a weighted average question . say x % of the solution was replaced - - > equate the amount of chemicals : 0.90 ( 1 - x ) + 0.2 * x = 0.4 - - > x = 5 / 7 . answer : a ." - }, - { - "Answer": 700, - "Options": "a ) 118 , b ) 677 , c ) 700 , d ) 2688 , e ) 1991", - "Correct": "c", - "Explanation": "\"cp * ( 76 / 100 ) = 532 cp = 7 * 100 = > cp = 700 answer : c\"" - }, - { - "Answer": 600, - "Options": "a ) $ 500 , b ) $ 600 , c ) $ 700 , d ) $ 900 , e ) $ 950", - "Correct": "b", - "Explanation": "et x be the portion invested at 5 % and let ( 1 - x ) be the rest which is invested at 6 % the question states that the return after 1 year is ( 1054 / 1000 ) - 1 = 0.054 = 5.4 % we want to find the dollar amount invested in x using our defined variables , put together the equation and solve for x ( the percentage of 1000 invested at 5 % ) 0.05 x + 0.06 ( 1 - x ) = 0.054 ( 0.05 ) x + 0.06 - ( 0.06 ) x = 0.054 - 0.01 x = - 0.006 x = - 0.006 / - 0.01 = 6 / 10 = 60 % so x = 60 % of the 1000 which is 600 answer : b" - }, - { - "Answer": 6, - "Options": "a ) 5 % , b ) 6 % , c ) 3 % , d ) 9 % , e ) 1 %", - "Correct": "b", - "Explanation": "\"192 = ( 800 * 4 * r ) / 100 r = 6 % answer : b\"" - }, - { - "Answer": 600, - "Options": "a ) s . 600 , b ) s . 480 , c ) s . 500 , d ) s . 450 , e ) s . 550", - "Correct": "a", - "Explanation": "\"sp = 1000 profit = 25 % cp = ( sp ) * [ 100 / ( 100 + p ) ] = 1000 * [ 100 / 125 ] = 800 loss = 25 % = 25 % of 800 = rs . 200 sp = cp - loss = 800 - 200 = rs . 600 answer : a\"" - }, - { - "Answer": 6672, - "Options": "a ) rs . 6672 , b ) rs . 6727 , c ) rs . 6908 , d ) rs . 6725 , e ) rs . 6728", - "Correct": "a", - "Explanation": "\"cp = sp * ( 100 / ( 100 + profit % ) ) = 8340 ( 100 / 125 ) = rs . 6672 . answer : a\"" - }, - { - "Answer": 0.24, - "Options": "a ) 0.125 % , b ) 0.24 % , c ) 0.8 % , d ) 1.25 % , e ) 2.0 %", - "Correct": "b", - "Explanation": "\"percent of defective produced = 6 % percent of the defective units that are shipped for sale = 4 % percent of units produced are defective units that are shipped for sale = ( 4 / 100 ) * ( 6 / 100 ) * 100 % = ( 24 / 10000 ) * 100 % = ( 24 / 100 ) % = . 24 % answer b\"" - }, - { - "Answer": 60, - "Options": "a ) 25 % loss , b ) 25 % profit , c ) 20 % loss , d ) 60 % profit , e ) 75 % profit", - "Correct": "d", - "Explanation": "\"let the cost price of 1 article be $ 1 . therefore , cost price of 40 articles = 40 * 1 = $ 40 the selling price of 25 articles = cost price of 40 articles = $ 40 . now , we know the selling price of 25 articles . let us find the cost price of 25 articles . cost price of 25 articles = 25 * 1 = $ 25 . therefore , profit made on sale of 25 articles = selling price of 25 articles - cost price of 25 articles = 40 - 25 = $ 15 . as the profit is in the positive , the merchant has made a profit of $ 15 . therefore , % loss = loss / cp * 100 % loss = 15 / 25 * 100 = 60 % profit . d\"" - }, - { - "Answer": 5200, - "Options": "a ) 5200 , b ) 3050 , c ) 4400 , d ) 4500 , e ) none of these", - "Correct": "a", - "Explanation": "\"let the number be a given , 15 / 100 * 30 / 100 * 50 / 100 * a = 117 = > 3 / 20 * 3 / 10 * 1 / 2 * a = 117 = > a = 10 * 20 * 10 * 2 = 5200 . answer : a\"" - }, - { - "Answer": 80, - "Options": "a ) 100 , b ) 90 , c ) 80 , d ) 30 , e ) 50", - "Correct": "c", - "Explanation": "\"machine b produces 100 part in 20 minutes . machine a produces 100 parts twice as fast as b , so machine a produces 100 parts in 20 / 2 = 10 minutes . now , machine a produces 100 parts in 10 minutes which is 100 / 10 = 10 parts / minute . 10 parts x a total of 8 minutes = 80 c\"" - }, - { - "Answer": 78.57142857142857, - "Options": "a ) 22 , b ) 65 , c ) 78.57 , d ) 33 , e ) 25", - "Correct": "c", - "Explanation": "\"given that , cost price of 50 article is equal to selling price of 28 articles . let cost price of one article = rs . 1 selling price of 28 articles = rs . 50 but cost price of 28 articles = rs . 28 therefore , the trader made profit . \\ percentage of profit = 22 / 28 * 100 = 78.57 % answer : c\"" - }, - { - "Answer": 1600, - "Options": "a ) 1600 , b ) 1500 , c ) 1200 , d ) 1388 , e ) 1211", - "Correct": "a", - "Explanation": "\"explanation : let original cost price is x its selling price = ( 105 / 100 ) * x = 21 x / 20 new cost price = ( 95 / 100 ) * x = 19 x / 20 new selling price = ( 110 / 100 ) * ( 19 x / 20 ) = 209 x / 200 [ ( 21 x / 20 ) - ( 209 x / 200 ) ] = 8 = > x = 1600 answer : a ) rs 1600\"" - }, - { - "Answer": 345, - "Options": "a ) s . 345 , b ) s . 350 , c ) s . 352 , d ) s . 362 , e ) s . 368", - "Correct": "a", - "Explanation": "\"suresh : rohan : sudhir ratio of their investments = 18000 \u00d7 12 : 12000 \u00d7 9 : 9000 \u00d7 8 = 6 : 3 : 2 the difference between rohan \u2019 s and sudhir \u2019 s share = 1 share : . i . e . = rs . 3795 \u00d7 1 / 11 = rs . 345 . a\"" - }, - { - "Answer": 17.77777777777778, - "Options": "a ) 16 , b ) 17.78 , c ) 17 , d ) 18.5 , e ) 18.23", - "Correct": "b", - "Explanation": "we assume that 90 is 100 % assume ' x ' is value we looking for here , 90 = 100 % and x % = 16 therefore , 100 / x = 90 / 16 100 / x = 5.625 x = 17.78 b" - }, - { - "Answer": 4260, - "Options": "a ) 3630 , b ) 9232 , c ) 4260 , d ) 2387 , e ) 2813", - "Correct": "c", - "Explanation": "\"6300 : 4200 : 10500 3 : 2 : 5 3 / 10 * 14200 = 4260 answer : c\"" - }, - { - "Answer": 20, - "Options": "a ) 20 % , b ) 22 % , c ) 25 % , d ) 30 % , e ) 35 %", - "Correct": "a", - "Explanation": "\"here 50 articles selling price = 60 articles cost price so the difference = 60 - 50 = 10 % of profit = 10 * 100 / 50 = 20 % correct option is a\"" - }, - { - "Answer": 2500, - "Options": "a ) 2500 , b ) 2772 , c ) 1991 , d ) 6725 , e ) 2099", - "Correct": "a", - "Explanation": "\"cp = sp * ( 100 / ( 100 + profit % ) ) = 3000 ( 100 / 120 ) = rs . 2500 . answer : a\"" - }, - { - "Answer": 10740, - "Options": "a ) 9680 , b ) 2277 , c ) 2999 , d ) 10700 , e ) 10740", - "Correct": "e", - "Explanation": "\"( 9000 * 3 * 2 ) / 100 = 540 10200 - - - - - - - - 10740 answer : e\"" - }, - { - "Answer": 410, - "Options": "a ) 300 , b ) 420 , c ) 410 , d ) 320 , e ) 400", - "Correct": "c", - "Explanation": "\"mary receives $ 8 ( 20 ) = $ 160 for the first 20 hours . for the 25 overtime hours , she receives $ 8 ( 0.25 ) + $ 8 = $ 10 per hour , that is $ 10 ( 25 ) = $ 250 . the total amount is $ 160 + $ 250 = $ 410 answer c 410 .\"" - }, - { - "Answer": 250, - "Options": "a ) 165 , b ) 170 , c ) 250 , d ) 180 , e ) 185", - "Correct": "c", - "Explanation": "\"assume that face value = rs . 100 as it is not given to earn rs . 8 , money invested = rs . 100 to earn rs . 20 , money invested = 100 \u00d7 20 / 8 = rs . 250 ie , market value of the stock = rs . 250 answer is c .\"" - }, - { - "Answer": 20, - "Options": "a ) 20 % , b ) 25 % , c ) 69 % , d ) 31 % , e ) 19 %", - "Correct": "a", - "Explanation": "\"let the price be 100 . the price becomes 150 after a 50 % markup . now a discount of 20 % on 150 . profit = 120 - 100 20 % answer a\"" - }, - { - "Answer": 60, - "Options": "a ) 60 , b ) 77 , c ) 269 , d ) 26 , e ) 91", - "Correct": "a", - "Explanation": "\"explanation : let the number be x . then , x \u2013 12 % of x = 52.8 x \u2013 ( 12 / 100 ) x = 52.8 x ( 1 \u2013 12 / 100 ) = 52.8 ( 88 / 100 ) x = 52.8 x = ( 100 x 52.8 ) / 88 = 60 answer : a\"" - }, - { - "Answer": 25.000000000000007, - "Options": "a ) 20 % , b ) 25 % , c ) 30 % , d ) 35 % , e ) 40 %", - "Correct": "b", - "Explanation": "\"let p be the original price of the goods and let x be the rate after the markup . ( 1.6 p ) * x = 1.2 p x = 1.2 / 1.6 = 0.75 which is a discount of 25 % . the answer is b .\"" - }, - { - "Answer": 10000, - "Options": "a ) rs . 10000 , b ) rs . 6000 , c ) rs . 8000 , d ) rs . 4000 , e ) rs . 2000", - "Correct": "a", - "Explanation": "sol . saving = [ 100 - ( 40 + 20 + 10 + 10 ] % = 20 % . let the monthly salary be rs . x . then , 20 % of x = 2000 \u00e2 \u2021 \u201d 20 / 100 x = 2000 \u00e2 \u2021 \u201d x = 2000 \u00e3 \u2014 5 = 10000 . answer a" - }, - { - "Answer": 0.24324324324324326, - "Options": "a ) 4 / 25 , b ) 9 / 37 , c ) 2 / 5 , d ) 8 / 15 , e ) 2 / 3", - "Correct": "b", - "Explanation": "\"let there be 100 books in all historic fiction books = 30 % of total = 30 other books = 70 new historic fiction = 30 % of 30 = 9 other new books = 40 % of 70 = 28 total new books = 37 fraction = 9 / 37 ans : b\"" - }, - { - "Answer": 8.5, - "Options": "a ) 8.5 , b ) 8.0 , c ) 9.5 , d ) 9.0 , e ) 8.25", - "Correct": "a", - "Explanation": "\"rate of still water = 1 / 2 ( down stream + upstream ) = 1 / 2 ( 24 + 7 ) = 15.5 kmph rate of current = 1 / 2 ( down stream - upstream ) = 1 / 2 ( 24 - 7 ) = 1 / 2 ( 17 ) = 8.5 kmph answer is a .\"" - }, - { - "Answer": 8, - "Options": "a ) 2 , b ) 4 , c ) 5 , d ) 6 , e ) 8", - "Correct": "e", - "Explanation": "\"for lost , use negative . for gain , use positive . progress = - 5 + 13 = 8 yards e\"" - }, - { - "Answer": 0.6923076923076923, - "Options": "a ) 5 / 13 , b ) 6 / 13 , c ) 9 / 13 , d ) 13 / 9 , e ) 13 / 6", - "Correct": "c", - "Explanation": "\"let the original amount of 85 percent solution = x and amount replaced be y 0.85 ( x - y ) + 0.2 y = 0.4 x 0.85 x - 0.85 y + 0.2 y = 0.4 x 0.45 x = 0.65 y 9 x = 13 y y = 9 x / 13 so , amount replaced = 9 / 13 of original amount answer : c\"" - }, - { - "Answer": 27, - "Options": "a ) 29 % , b ) 20 % , c ) 27 % , d ) 25 % , e ) 12 %", - "Correct": "c", - "Explanation": "\"the equation we can form the question : return on total investment = sum of individual investments ( 500 + 1500 ) ( 22 ) = ( 500 \u00e2 \u02c6 \u2014 7 ) + ( 1500 x ) , where x is the return on investment of 1500 . solving the equation , we get x = 27 % ( option c ) answer : c\"" - }, - { - "Answer": 50, - "Options": "a ) 50 % , b ) 53 % , c ) 54 % , d ) 55 % , e ) 57 %", - "Correct": "a", - "Explanation": "\"say there are total of 100 registered voters in that city . thus 60 are democrats and 40 are republicans . 60 * 0.70 = 42 democrats are expected to vote for candidate a ; 40 * 0.20 = 8 republicans are expected to vote for candidate a . thus total of 42 + 8 = 50 registered voters are expected to vote for candidate a , which is 50 % of the total number of registered voters . answer : a\"" - }, - { - "Answer": 10, - "Options": "a ) 12 sec , b ) 20 sec , c ) 15 sec , d ) 18 sec , e ) 10 sec", - "Correct": "e", - "Explanation": "\"explanation : time taken to cover the entire length = tot . dist / resultant speed = 180 / ( 15 + 3 ) = 10 sec answer : e\"" - }, - { - "Answer": 35.625, - "Options": "a ) 32 % , b ) 34.4 % , c ) 35 % , d ) 35.6 % , e ) 36.4 %", - "Correct": "d", - "Explanation": "\"( 1 ) when 30 and 40 has equal weight or weight = 1 / 2 , the answer would be 35 . ( 2 ) when 40 has larger weight than 30 , the answer would be in between 35 and 40 . unfortunately , we have 2 answer choices d and e that fit that condition so we need to narrow down our range . ( 3 ) get 72000 / 128000 = 72 / 128 = 9 / 16 . 9 / 16 is a little above 8 / 16 = 1 / 2 . thus , our answer is just a little above 35 . answer : d\"" - }, - { - "Answer": 108.57142857142861, - "Options": "a ) 80 % , b ) 100 % , c ) 109 % , d ) 120 % , e ) 140 %", - "Correct": "c", - "Explanation": "kim purchased 20 gallons of gas . she paid for 6 + 0.9 * 14 = 18.6 gallons , so the overall discount she got was 1.4 / 20 = 7 % . isabella purchased 25 gallons of gas . she paid for 6 + 0.9 * 19 = 23.1 gallons , so the overall discount she got was 1.9 / 25 = 7.6 % . 7.6 is 7.6 / 7 * 100 = 109 % of 7 . answer : c ." - }, - { - "Answer": 6240, - "Options": "a ) 5363 , b ) 6240 , c ) 2368 , d ) 1987 , e ) 2732", - "Correct": "b", - "Explanation": "to obtain rs . 10 , investment = rs . 96 . to obtain rs . 650 , investment = = rs . 6240 . answer : b" - }, - { - "Answer": 199.99999999999983, - "Options": "a ) $ 200 , b ) $ 240 , c ) $ 280 , d ) $ 320 , e ) $ 360", - "Correct": "a", - "Explanation": "\"let x be the money invested at 3 % . 1.03 x + 1.05 ( 1000 - x ) = 1046 . 0.02 x = 1050 - 1046 . 0.02 x = 4 . 2 x = 400 . x = 200 . the answer is a .\"" - }, - { - "Answer": 100, - "Options": "a ) 80 cm , b ) 90 cm , c ) 100 cm , d ) 120 cm , e ) 130 cm", - "Correct": "c", - "Explanation": "\"when ball comes down , then i have indicated the distance covered in green when ball goes up , then i have indicated the distance covered in red distance travelled uptil the ball touches the floor 3 rd time : h + 0.5 h + 0.5 h + 0.5 * 0.5 h + 0.5 * 0.5 h h + 2 * 0.5 * h + 2 * 0.25 * h = h ( 1 + 2 * 0.5 + 2 * 0.25 ) = h ( 1 + 1 + 0.5 ) = 250 2.5 h = 250 h = 100 . c is the answer .\"" - }, - { - "Answer": 57, - "Options": "a ) 50 % , b ) 53 % , c ) 54 % , d ) 55 % , e ) 57 %", - "Correct": "e", - "Explanation": "\"say there are total of 100 registered voters in that city . thus 60 are democrats and 40 are republicans . 60 * 0.75 = 45 democrats are expected to vote for candidate a ; 40 * 0.30 = 12 republicans are expected to vote for candidate a . thus total of 45 + 12 = 57 registered voters are expected to vote for candidate a , which is 57 % of the total number of registered voters . answer : e .\"" - }, - { - "Answer": 174.99999999999997, - "Options": "a ) $ 155 , b ) $ 165 , c ) $ 175 , d ) $ 185 , e ) $ 195", - "Correct": "c", - "Explanation": "\"0.8 * 0.9 * cost price = $ 126 cost price = $ 175 the answer is c .\"" - }, - { - "Answer": 160, - "Options": "a ) 911 , b ) 100 , c ) 101 , d ) 160 , e ) 785", - "Correct": "d", - "Explanation": "\"let ' s take the approach that uses the answer choices to eliminate wasted time . 32 / 16 = 2 shirt per minute per machine . 8 machines = 16 per minute . 10 minutes worth = 160 shirt . looking at the answers it is clear . . . we can only choose ( d ) the correct answer is d .\"" - }, - { - "Answer": 42000, - "Options": "a ) $ 32000 , b ) $ 36000 , c ) $ 42000 , d ) $ 44000 , e ) $ 45000", - "Correct": "c", - "Explanation": "x + y = 100000 0.17 y = 0.23 a + 200 take away decimals first : 17 y = 23 x + 20000 isolate first equation to solve for x ( your goal ) : y = 100000 - y plug in for b : 17 ( 100000 - x ) = 23 x + 20000 1 , 700000 - 17 x = 23 x + 20000 1 , 680000 = 40 x 1 , 680000 / 40 = x x = 42000 = answer choice c" - }, - { - "Answer": 5.5, - "Options": "a ) 5 % , b ) 8 % , c ) 3 % , d ) 9 % , e ) 5.5 %", - "Correct": "e", - "Explanation": "\"176 = ( 180 * 4 * r ) / 100 r = 5.5 % answer : e\"" - }, - { - "Answer": 1.8000000000000007, - "Options": "a ) a . 0.6 , b ) b . 1 , c ) c . 2.1 , d ) d . 1.8 , e ) e . 5.4", - "Correct": "d", - "Explanation": "\"35 % of 6 = 2.1 50 % of 6 = 3 shortage is 0.9 so we need to have 0.9 / 50 % to get 50 % alcohol content . = 1.8 d\"" - }, - { - "Answer": 599.9999142857265, - "Options": "a ) 30 apples , b ) 600 apples , c ) 420 apples , d ) 70 apples , e ) none", - "Correct": "b", - "Explanation": "\"answer \u00e2 \u02c6 \u00b5 70 % of n = 420 \u00e2 \u02c6 \u00b4 n = ( 420 x 100 ) / 70 = 600 correct option : b\"" - }, - { - "Answer": 58.402662229617306, - "Options": "a ) 29 % , b ) 41 % , c ) 58 % , d ) 69 % , e ) 70 %", - "Correct": "c", - "Explanation": "answer is ( money from mid and large plane ) / ( total money from all the planes ) x 100 = ( 175 \u2217 75 + 220 \u2217 60 ) / ( 125 \u2217 150 + 175 \u2217 75 + 220 \u2217 60 ) \u2217 100 ( 175 \u2217 75 + 220 \u2217 60 ) / ( 125 \u2217 150 + 175 \u2217 75 + 220 \u2217 60 ) \u2217 100 = 58.4 % you could just multiply add divide to get answer . however sometimes its much better to make it easy we should see if we have any common terms 125 * 150 = ( 5 * 5 * 5 ) * ( 2 * 3 * 5 * 5 ) 175 * 75 = ( 5 * 5 * 7 ) * ( 3 * 5 * 5 ) 220 * 60 = ( 2 * 2 * 11 * 5 ) * ( 2 * 2 * 3 * 5 ) 3 * 5 * 5 is common cancel it ans becomes ( 175 + 176 ) / ( 176 + 175 + 250 ) * 100 = ~ = ~ 350 / 600 * 100 = ~ = ~ 7 / 12 * 100 = 60 % > > > 58 % is closest . answer : c" - }, - { - "Answer": 100000, - "Options": "a ) 95000 , b ) 97500 , c ) 100000 , d ) 105000 , e ) 102500", - "Correct": "c", - "Explanation": "\"x * ( 85 / 100 ) = 85000 x = 1000 * 100 x = 100000 answer : c\"" - }, - { - "Answer": 0.55, - "Options": "a ) 11 / 20 , b ) 2 / 5 , c ) 1 / 2 , d ) 3 / 5 , e ) 3 / 4", - "Correct": "a", - "Explanation": "x * 6 / 100 * 1 + ( 20000 - x ) * 9 / 100 * 1 = 1440 6 x - 8 x = 144000 - 180000 = > - 2 x = - 18000 = > x = 9000 so 11000 / 20000 = 11 / 20 answer - a" - }, - { - "Answer": 153, - "Options": "a ) 173 , b ) 163 , c ) 153 , d ) 143 , e ) 133", - "Correct": "c", - "Explanation": "\"44 + 28 + 10 = 82 % 100 \u2013 82 = 18 % 850 * 18 / 100 = 153 answer : c\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 11 , b ) 12 , c ) 33 , d ) 15 , e ) 36", - "Correct": "c", - "Explanation": "if b ' s income is rs 100 , a ' s income = rs 75 % b ' s income is greater than a = 100 * 25 / 75 = 33.33 % answer : c" - }, - { - "Answer": 965, - "Options": "a ) a ) 1040 , b ) b ) 1045 , c ) c ) 965 , d ) d ) 1060 , e ) e ) 1075", - "Correct": "c", - "Explanation": "\"cost of 8 kg apples = 70 \u00d7 8 = 560 . cost of 9 kg of mangoes = 45 \u00d7 9 = 405 . total cost he has to pay = 560 + 405 = 965 . c )\"" - }, - { - "Answer": 5000, - "Options": "a ) rs 4000 , b ) rs 5000 , c ) rs 6000 , d ) rs 7000 , e ) rs 8000", - "Correct": "b", - "Explanation": "let p be the sum . and x be the interest rate . ( 2 * ( x + 3 ) * p / 100 ) - ( 2 * x * p / 100 ) = 300 therefore 6 p / 100 = 300 p = rs 5000 answer : b" - }, - { - "Answer": 6400, - "Options": "a ) 288 , b ) 278 , c ) 800 , d ) 267 , e ) 6400", - "Correct": "e", - "Explanation": "\"( 5 / 100 ) * x \u00e2 \u20ac \u201c ( 20 / 100 ) * 650 = 190 1 / 20 x = 320 x = 6400 answer : e\"" - }, - { - "Answer": 555.5555555555555, - "Options": "a ) $ 496.30 , b ) $ 512.40 , c ) $ 555.56 , d ) $ 574.90 , e ) $ 588.20", - "Correct": "c", - "Explanation": "\"750 = 1.35 * x x = 750 / 1.35 = 555.5555556 . . . which rounds to $ 555.56 , which is ( c ) .\"" - }, - { - "Answer": 15, - "Options": "a ) 5 litres , b ) 7 litres , c ) 15 litres , d ) can not be determined , e ) none of these", - "Correct": "c", - "Explanation": "\"here required quantity of pure milk = 10 \u00d7 ( 5 \u2212 2 ) / 2 = 10 \u00d7 3 / 2 = 15 litres . answer c\"" - }, - { - "Answer": 0.08000000000000002, - "Options": "a ) 0.2 , b ) 0.08 , c ) 0.16 , d ) 0.14 , e ) 0.15", - "Correct": "b", - "Explanation": "\"say there are 100 people in that group , then there would be 0.4 * 0.20 * 100 = 8 women lawyers , which means that the probability that the member selected is a woman lawyer is favorable / total = 8 / 100 . answer : b\"" - }, - { - "Answer": 600, - "Options": "a ) rs . 608 , b ) rs . 6076 , c ) rs . 600 , d ) rs . 602 , e ) rs . 601", - "Correct": "c", - "Explanation": "\"t . d . = b . g . x 100 = rs . 24 x 100 = rs . 120 . rate x time 10 x 2 p . w . = 100 x t . d . = rs . 100 x 120 = rs . 600 . rate x time 10 x 2 answer : c\"" - }, - { - "Answer": 175, - "Options": "a ) 150 , b ) 175 , c ) 200 , d ) 225 , e ) 250", - "Correct": "b", - "Explanation": "the fuel is consumed at this rate : $ 0.40 / $ 0.70 = 4 / 7 gallons per hour . the time it takes to consume 100 gallons is : 100 / ( 4 / 7 ) = 175 hours . the answer is b ." - }, - { - "Answer": 0.25, - "Options": "a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 1 , e ) 3", - "Correct": "a", - "Explanation": "\"concentration of salt in pure solution = 0 concentration of salt in salt solution = 75 % concentration of salt in the mixed solution = 15 % the pure solution and the salt solution is mixed in the ratio of - - > ( 75 - 15 ) / ( 15 - 0 ) = 4 / 1 1 / x = 4 / 1 x = 1 / 4 answer : a\"" - }, - { - "Answer": 400, - "Options": "a ) 127 , b ) 688 , c ) 400 , d ) 121 , e ) 123", - "Correct": "c", - "Explanation": "\"let c . p . be rs . x . then , 5 % of x = 600 - 580 = 20 x / 20 = 20 = > x = 400 answer : c\"" - }, - { - "Answer": 70.37037037037038, - "Options": "a ) 20 % , b ) 40 % , c ) 50 % , d ) 70.38 % , e ) 100 %", - "Correct": "d", - "Explanation": "\"we should be careful about what are we measuring % on / what is the base . . let the marked up price = 100 . . selling price = 100 - 60 % of 100 = 40 . . profit = 35 % . . therefore the wholesale purchase cost = x . . . . 1.35 x = 40 or x = 29.62 . . . marked price was 100 so . . . so answer is 70.38 % . . d\"" - }, - { - "Answer": 2015.624999999999, - "Options": "a ) 2019.625 , b ) 2017.625 , c ) 2013.625 , d ) 2015.625 , e ) 2011.625", - "Correct": "d", - "Explanation": "c . i . = [ 6000 * ( 1 + 15 / 100 ) 2 - 6000 ] = ( 6000 * 23 / 20 * 23 / 20 - 6000 ) = rs . 1935 . sum = ( 967.5 * 100 ) / ( 4 * 12 ) = rs . 2015.625 answer : d" - }, - { - "Answer": 17, - "Options": "a ) 33 , b ) 29 , c ) 17 , d ) 10 , e ) 16", - "Correct": "c", - "Explanation": "\"explanation : let the cost price for the manufacturer be rs . x . then , 125 % of 120 % of 118 % of x = 30.09 . 125 / 100 * 120 / 100 * 118 / 100 * x = 3009 / 100 177 / 100 x = 3009 / 100 = > x = 17 answer : c\"" - }, - { - "Answer": 6.000000000000007, - "Options": "a ) $ 0 , b ) $ 3 , c ) $ 6 , d ) $ 12 , e ) $ 15", - "Correct": "c", - "Explanation": "actual cost = $ 42 sp = actual cost + mark up = actual cost + 30 % sp = 42 * 100 / 70 on sale sp = 80 / 100 ( 42 * 100 / 70 ) = 48 gross profit = $ 6 answer is c" - }, - { - "Answer": 840, - "Options": "a ) 191 , b ) 355 , c ) 737 , d ) 840 , e ) 1,560", - "Correct": "d", - "Explanation": "\"let weight of side of beef before processing = x ( 65 / 100 ) * x = 546 = > x = ( 546 * 100 ) / 65 = 840 answer d\"" - }, - { - "Answer": 1980, - "Options": "a ) 2000 , b ) 2888 , c ) 2667 , d ) 2999 , e ) 2122", - "Correct": "a", - "Explanation": "( 10 * 10 ) / 100 = 1 % loss 100 - - - 99 ? - - - 1980 = > rs . 2000 answer : a" - }, - { - "Answer": 7.411764705882353, - "Options": "a ) rs 7.41 , b ) rs 9.81 , c ) rs 10.41 , d ) rs 11.81 , e ) none of these", - "Correct": "a", - "Explanation": "\"explanation : 85 : 6 = 105 : x x = ( 6 \u00d7 105 / 85 ) = rs 7.41 option a\"" - }, - { - "Answer": 3750, - "Options": "a ) $ 1000 , b ) $ 1250 , c ) $ 2500 , d ) $ 3500 , e ) $ 3750", - "Correct": "e", - "Explanation": "\"let a ' s salary is x b ' s salary = 5000 - x ( 100 - 95 ) % of x = ( 100 - 85 ) % of ( 5000 - x ) x = $ 3750 answer is e\"" - }, - { - "Answer": 29.7, - "Options": "a ) 19 , b ) 19.7 , c ) 21.3 , d ) 21.5 , e ) 29.7", - "Correct": "e", - "Explanation": "\"total cost of the items he purchased = rs . 35 given that out of this rs . 35 , 30 % is given as tax = > total tax incurred = 30 % = rs . 30 / 100 let the cost of the tax free items = x given that tax rate = 6 % \u2234 ( 35 \u2212 30 / 100 \u2212 x ) 6 / 100 = 30 / 100 \u21d2 6 ( 35 \u2212 0.3 \u2212 x ) = 30 \u21d2 ( 35 \u2212 0.3 \u2212 x ) = 5 \u21d2 x = 35 \u2212 0.3 \u2212 5 = 29.7 e )\"" - }, - { - "Answer": 6552, - "Options": "a ) 5568 , b ) 6369 , c ) 5460 , d ) 5635 , e ) 6552", - "Correct": "e", - "Explanation": "\"6000 * 104 / 100 * 105 / 100 = > 6552 answer : e\"" - }, - { - "Answer": 120, - "Options": "a ) 100 , b ) 110 , c ) 120 , d ) 30 , e ) 160", - "Correct": "c", - "Explanation": "\"final number = initial number + 50 % ( original number ) = 80 + 50 % ( 80 ) = 80 + 40 = 120 . answer c\"" - }, - { - "Answer": 40, - "Options": "a ) 12.5 % , b ) 40 % , c ) 50 % , d ) 60 % , e ) 67.5 %", - "Correct": "b", - "Explanation": "\"60 + 55 + 25 = 140 % the number is 40 % above 100 % because 40 % of the counties were counted twice . the answer is b .\"" - }, - { - "Answer": 1040, - "Options": "a ) rs . 660 , b ) rs . 760 , c ) rs . 860 , d ) rs . 1040 , e ) none of these", - "Correct": "d", - "Explanation": "explanation : here always remember , when ever x % loss , it means s . p . = ( 100 - x ) % of c . p when ever x % profit , it means s . p . = ( 100 + x ) % of c . p so here will be ( 100 - x ) % of c . p . = 80 % of 1300 = 80 / 100 * 1300 = 1040 option d" - }, - { - "Answer": 9.999965714374696, - "Options": "a ) 28 , b ) 10 , c ) 288 , d ) 277 , e ) 211", - "Correct": "b", - "Explanation": "7 * 5 : 5 * x = 7 : 10 x = 10 answer : b" - }, - { - "Answer": 25, - "Options": "a ) 25 % , b ) 30 % , c ) 35 % , d ) 40 % , e ) 50 %", - "Correct": "a", - "Explanation": "\"let the cp of each pen be rs . 1 . cp of 80 pens = rs . 80 profit = cost of 20 pens = rs . 20 profit % = 20 / 80 * 100 = 25 % answer : a\"" - }, - { - "Answer": 37.5, - "Options": "a ) 15 % , b ) 16.66 % , c ) 17.8 % , d ) 19 % , e ) 37.5 %", - "Correct": "e", - "Explanation": "\"increase = ( 15 / 40 ) * 100 = 37.5 % . e\"" - }, - { - "Answer": 1.999999999999997, - "Options": "a ) 8 % , b ) 7 % , c ) 10 % , d ) 2 % , e ) 4 %", - "Correct": "d", - "Explanation": "\"explanation : 70 * ( 90 / 100 ) * ( ( 100 - x ) / 100 ) = 61.74 x = 2 % option d\"" - }, - { - "Answer": 40.5, - "Options": "a ) 24 % , b ) 40.5 % , c ) 44 % , d ) 54 % , e ) 64 %", - "Correct": "b", - "Explanation": "\"percentage change in area = ( \u2212 30 \u2212 15 + ( 30 \u00d7 15 ) / 100 ) % = \u2212 40.5 % i . e . , area is decreased by 40.5 % answer : b\"" - }, - { - "Answer": 1010, - "Options": "a ) a ) 1000 , b ) b ) 1010 , c ) c ) 1065 , d ) d ) 1075 , e ) e ) 1080", - "Correct": "b", - "Explanation": "\"cost of 8 kg grapes = 70 \u00d7 8 = 560 . cost of 9 kg of mangoes = 50 \u00d7 9 = 450 . total cost he has to pay = 560 + 450 = 1010 . b )\"" - }, - { - "Answer": 6400, - "Options": "a ) $ 8,000 , b ) $ 5,600 , c ) $ 3,200 , d ) $ 6,400 , e ) $ 800", - "Correct": "d", - "Explanation": "d market value in 1982 = $ 8000 market value in 1983 = $ 8000 - ( $ 8000 x 10 / 100 ) = 8000 - 800 = $ 7200 market value in 1984 = market value in 1983 - ( 10 % of $ 8000 ) = 7200 - 800 = $ 6400" - }, - { - "Answer": 34.444444444444436, - "Options": "a ) 9 % , b ) 10 % , c ) 34.4 % , d ) 12 % , e ) 15 %", - "Correct": "c", - "Explanation": "\"you know that fox jeans costs $ 15 , and pony jeans costs $ 18 , you also know that 3 pairs of fox jeans and 2 pairs of pony jeans were purchased . so 3 ( 15 ) = 45 - fox 2 ( 18 ) = 36 - pony the total discount discount is $ 5 and you are asked to find the percent discount of pony jeans , so 45 ( 18 - x ) / 100 + 36 ( x ) / 100 = 5 or 45 * 18 - 45 * x + 36 * x = 5 * 100 or 9 x = - 5 * 100 + 45 * 18 x = 310 / 9 = 34.4 c\"" - }, - { - "Answer": 3500, - "Options": "a ) 3500 , b ) 2800 , c ) 3251 , d ) 4251 , e ) 3508", - "Correct": "a", - "Explanation": "\"sol = ~ s - so anju \u2019 s share = [ 5 / 9 ] x 6300 = 3500 a\"" - }, - { - "Answer": 27.999999999999993, - "Options": "a ) 25 % , b ) 26 % , c ) 27 % , d ) 28 % , e ) 29 %", - "Correct": "d", - "Explanation": "\"explanation : let original length = x and original width = y decrease in area will be = xy \u2212 ( 80 x / 100 \u00d7 90 y / 100 ) = ( xy \u2212 18 / 25 xy ) = 7 / 25 xy decrease = ( 7 xy / 25 xy \u00d7 100 ) % = 28 option d\"" - }, - { - "Answer": 12, - "Options": "a ) 10 , b ) 13 , c ) 12 , d ) 18 , e ) 19", - "Correct": "c", - "Explanation": "\"c 12 % suppose he has 100 items . let c . p . of each item be $ 1 . total cost = $ 100 . number of items left after theft = 80 . s . p . of each item = $ 1.10 total sale = 1.10 * 80 = $ 88 hence , loss % = 12 / 100 * 100 = 12 %\"" - }, - { - "Answer": 2000, - "Options": "a ) rs . 2007 , b ) rs . 2000 , c ) rs . 2089 , d ) rs . 2067 , e ) rs . 2098", - "Correct": "b", - "Explanation": "\"let c . p . of each horse be rs . x and c . p . of each cow be rs . y . then , 4 x + 9 y = 13400 - - ( i ) and , 10 % of 4 x + 20 % of 9 y = 1880 2 / 5 x + 9 / 5 y = 1880 = > 2 x + 9 y = 9400 - - ( ii ) solving ( i ) and ( ii ) , we get : x = 2000 and y = 600 . cost price of each horse = rs . 2000 . answer : b\"" - }, - { - "Answer": 1.2987012987012987, - "Options": "a ) 6.54 % , b ) 2.54 % , c ) 8 . 2 % , d ) 4.94 % , e ) 1.29 %", - "Correct": "e", - "Explanation": "let sum = x . then , s . i . = x . rate = ( 100 * s . i . ) / ( p * t ) = ( 100 * x ) / ( x * 77 ) = 100 / 77 = 1.29 % answer : e" - }, - { - "Answer": 43.75, - "Options": "a ) 24 , b ) 28 , c ) 30 , d ) 32 , e ) 44", - "Correct": "e", - "Explanation": "\"let c . p . be rs . 100 . then , s . p . = rs . 138 let marked price be rs . x . then , 96 / 100 x = 138 x = 13800 / 96 = rs . 143.75 now , s . p . = rs . 143.75 , c . p . = rs . 100 profit % = 44 % . answer : e\"" - }, - { - "Answer": 35, - "Options": "a ) 277 , b ) 35 , c ) 64 , d ) 72 , e ) none of these", - "Correct": "b", - "Explanation": "\"? % of 360 = 126 or , ? = 126 \u00d7 100 / 360 = 35 answer b\"" - }, - { - "Answer": 1288.3199999999997, - "Options": "a ) $ 120 , b ) $ 150 , c ) $ 1288 , d ) $ 250 , e ) $ 300", - "Correct": "c", - "Explanation": "\"a = p ( 1 + r / 100 ) ^ t = 1200 ( 1 + 20 / 100 ) ^ 4 = $ 2488 ci = $ 1288 answer is c\"" - }, - { - "Answer": 66.66666666666666, - "Options": "a ) 20 % , b ) 40 % , c ) 66.67 % , d ) 80 % , e ) 100 %", - "Correct": "c", - "Explanation": "\"we should be careful about what are we measuring % on / what is the base . . let the marked up price = 100 . . selling price = 100 - 60 % of 100 = 40 . . profit = 20 % . . therefore the wholesale purchase cost = x . . . . 1.2 x = 40 or x = 33.33 . . . marked price was 100 so . . . so answer is 66.67 % . . c\"" - }, - { - "Answer": 150, - "Options": "a ) s . 150 , b ) s . 70 , c ) s . 100 , d ) s . 80 , e ) s . 60", - "Correct": "a", - "Explanation": "\"explanation : 25 % of 600 = > 25 / 100 * 600 = rs . 150 answer : a\"" - }, - { - "Answer": 10.727272727272727, - "Options": "a ) 10.7 % , b ) 19 % , c ) 18 % , d ) 14 % , e ) 16 %", - "Correct": "a", - "Explanation": "\"total cp = rs . 42000 + rs . 13000 = rs . 55000 and sp = rs . 60900 profit ( % ) = ( 60900 - 55000 ) / 55000 * 100 = 10.7 % answer : a\"" - }, - { - "Answer": 4.04, - "Options": "a ) 1.04 , b ) 2.04 , c ) 3.04 , d ) 4.04 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : 100 cm is read as 102 cm . a 1 = ( 100 \u00d7 100 ) cm 2 and a 2 = ( 102 \u00d7 102 ) cm 2 ( a 2 - a 1 ) = [ 1022 - 1002 ] = ( 102 + 100 ) x ( 102 - 100 ) = 404 cm 2 answer : d\"" - }, - { - "Answer": 5300, - "Options": "a ) $ 5306 , b ) $ 6120 , c ) $ 5136 , d ) $ 5405 , e ) $ 5500", - "Correct": "a", - "Explanation": "approach # 1 : 6 percent annual interest compounded semi - annually - - > 3 % in 6 moths . for the first 6 moths interest was 3 % of $ 5000 , so $ 150 ; for the next 6 moths interest was 3 % of $ 5000 , plus 3 % earned on previous interest of $ 150 , so $ 150 + $ 6 = $ 156 ; total interest for one year was $ 150 + $ 156 = $ 306 , hence balance after one year was $ 5000 + $ 306 = $ 5306 . answer : a ." - }, - { - "Answer": 1.25, - "Options": "a ) 2 kg , b ) 2.4 kg , c ) 2.5 kg , d ) 1.250 kg , e ) none of these", - "Correct": "d", - "Explanation": "\"the weight of non - water in 10 kg of fresh grapes ( which is 100 - 90 = 10 % of whole weight ) will be the same as the weight of non - water in x kg of dried grapes ( which is 100 - 20 = 80 % of whole weight ) , so 10 \u00e2 \u02c6 \u2014 0.1 = x \u00e2 \u02c6 \u2014 0.8 - - > x = 1.25 answer : d\"" - }, - { - "Answer": 306, - "Options": "a ) 321 , b ) 276 , c ) 306 , d ) 265 , e ) 162", - "Correct": "c", - "Explanation": "\"explanation : 450 * ( 80 / 100 ) * ( 85 / 100 ) = 306 answer : c\"" - }, - { - "Answer": 240, - "Options": "a ) rs . 300 , b ) rs . 56 , c ) rs . 100 , d ) rs . 240 , e ) rs . 90", - "Correct": "d", - "Explanation": "\"explanation : ( 3 * 8 + 2 * 4 ) : ( 4 * 8 + 5 * 4 ) 8 : 13 8 / 21 * 630 = rs . 240 answer : d\"" - }, - { - "Answer": 60, - "Options": "a ) 40 % , b ) 45 % , c ) 50 % , d ) 55 % , e ) 60 %", - "Correct": "e", - "Explanation": "\"yes there is a simple method : consider the following method brand a : 40 % millet and 60 % sunflower brand b : 65 % millet and 35 % sunflower mix : 50 % sunflower here the weighted average is 50 % , now brand a has 60 % sunflower , which is 10 % more than the weighted average of mix = + 0.10 a - - - - - - - - - - - - - - - i similarly , brand b has 35 % sunflower , which is 15 % less than the weighted average of mix = - 0.15 b - - - - - - - - - - - - ii now , both brand a and brand b are combined to give a 50 % mix containing millet , so equate i and ii implies , 0.10 a = 0.15 b therefore a / b = 0.15 / 0.10 = 3 / 2 a : b : ( a + b ) = 3 : 2 : ( 3 + 2 ) = 3 : 2 : 5 we have to find , percent of the mix is brand a i . e . a : ( a + b ) = 3 : 5 = ( 3 / 5 ) * 100 = 60 % here is a pictorial representation : brand a = 60 % - - - - - - - - - - - - - - - - - - - - - - - - 10 % or 0.10 above average , a times - - - - - - - - - - - - - - - - - total below = + 0.10 a - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - average = 50 % or 0.50 brand b = 35 % - - - - - - - - - - - - - - - - - - - - - - - - - - 15 % or 0.15 below average , b times - - - - - - - - - - - - - - - - - total above = - 0.15 b since the amount below the average has to equal the average above the average ; therefore , 0.10 a = 0.15 b a / b = 3 / 2 a : b : total = 3 : 2 : 5 therefore a / total = 3 : 5 = 60 % answer : e\"" - }, - { - "Answer": 7520, - "Options": "a ) a ) 4500 , b ) b ) 5200 , c ) c ) 6900 , d ) d ) 7520 , e ) e ) 6000", - "Correct": "d", - "Explanation": "let the total number of votes polled be x then , votes polled by other candidate = ( 100 - 60 ) % of x = 40 % of x 60 % of x - 40 % of x = 1504 20 x / 100 = 1504 x = 1504 * 100 / 20 = 7520 answer is d" - }, - { - "Answer": 294, - "Options": "a ) 294 , b ) 289 , c ) 240 , d ) 233 , e ) 200", - "Correct": "a", - "Explanation": "\"( 2800 * 3.5 * 3 ) / 100 = > 294 answer : a\"" - }, - { - "Answer": 9440, - "Options": "a ) 9440 , b ) 96288 , c ) 26667 , d ) 1662 , e ) 2882", - "Correct": "a", - "Explanation": "\"( 8000 * 3 * 1 ) / 100 = 240 9200 - - - - - - - - 9440 answer : a\"" - }, - { - "Answer": 17, - "Options": "a ) 3 , b ) 6 , c ) 14 , d ) 17 , e ) 20", - "Correct": "d", - "Explanation": "number of apples = 14 number of oranges = 23 let number of oranges that must be removed so that 70 % of pieces of fruit in bowl will be apples = x total number of fruits after x oranges are removed = 14 + ( 23 - x ) = 37 - x 14 / ( 37 - x ) = 7 / 10 = > 20 = 37 - x = > x = 17 answer d" - }, - { - "Answer": 10000, - "Options": "a ) 7500 , b ) 2028 , c ) 2775 , d ) 10000 , e ) 6851", - "Correct": "d", - "Explanation": "\"30 % - - - - - - - - - - - l 70 % - - - - - - - - - - - w - - - - - - - - - - - - - - - - - - 40 % - - - - - - - - - - 4000 100 % - - - - - - - - - ? = > 10000 answer : d\"" - }, - { - "Answer": 100, - "Options": "a ) 289 , b ) 231 , c ) 100 , d ) 288 , e ) 111", - "Correct": "c", - "Explanation": "\"explanation : let c . p . be rs . x . then , 5 % of x = 350 - 345 = 5 x / 20 = 5 = > x = 100 answer : c\"" - }, - { - "Answer": 170.63935999999944, - "Options": "a ) 164.19 , b ) 164.12 , c ) 170.6 , d ) 167.1 , e ) 165.11", - "Correct": "c", - "Explanation": "\"s . i . = ( 1000 * 16 * 4 ) / 100 = rs . 640 c . i . = [ 1000 * ( 1 + 16 / 100 ) 4 - 1000 ] = rs . 810.6 difference = ( 810.6 - 640 ) = rs . 170.6 answer : c\"" - }, - { - "Answer": 10, - "Options": "a ) 10 kg , b ) 12 kg , c ) 15 kg , d ) 16 kg , e ) 20 kg", - "Correct": "a", - "Explanation": "\"from the question we know : 40 kg * 80 % = 32 kg of water in the fresh grapes 40 kg - 32 kg of water = 8 kg of non - water mass we are looking for the weight of the dry grapes ( x ) . since the question tells us that 20 % of the weight of the dry graps is water and we know that 8 kg is non - water mass we can set up the following equation : x = 1 / 5 ( x ) + 8 kg 4 / 5 ( x ) = 8 kg x = 10 kg answer - a\"" - }, - { - "Answer": 96.00000000000001, - "Options": "a ) 80 % , b ) 105 % , c ) 120 % , d ) 96 % , e ) 138 %", - "Correct": "d", - "Explanation": "\"x = profits r = revenue x / r = 0,1 x = 10 r = 100 2009 : r = 80 x / 80 = 0,12 = 12 / 100 x = 80 * 12 / 100 x = 9.6 9.6 / 10 = 0.96 = 96 % , answer d\"" - }, - { - "Answer": 2.1, - "Options": "a ) 0.21 % , b ) 21 % , c ) 0.021 % , d ) 2.1 % , e ) none of these", - "Correct": "d", - "Explanation": "birth rate = 32 / 1000 = 0.032 death rate = 11 / 1000 = 0.011 increase in population = 0.032 - 0.011 = 0.021 = 2.1 % answer : d" - }, - { - "Answer": 120, - "Options": "a ) s . 45 , b ) s . 50 , c ) s . 55 , d ) s . 60 , e ) s . 120", - "Correct": "e", - "Explanation": "\"( c . p . of 11 balls ) - ( s . p . of 11 balls ) = ( c . p . of 5 balls ) c . p . of 6 balls = s . p . of 11 balls = rs . 720 . c . p . of 1 ball = rs . 720 / 6 = rs . 120 . answer : option e\"" - }, - { - "Answer": 120, - "Options": "a ) rs . 83.33 , b ) rs . 110 , c ) rs . 112 , d ) rs . 120 , e ) rs . 140", - "Correct": "d", - "Explanation": "income of rs 10 on investment of rs 100 income of rs 12 on investment of ? = ( 12 * 100 ) / 10 = 120 answer : d" - }, - { - "Answer": 0.9799999999999898, - "Options": "a ) 0.98 % , b ) 4.98 % , c ) 3.95 % , d ) 6.98 % , e ) 7.98 %", - "Correct": "a", - "Explanation": "\"let d initial price be 100 32 % rise now price = 132 / 100 * 100 = 132 10 % discount then price = 132 * 90 / 100 = 118.8 15 % discount then price = 118.8 * 85 / 100 = 100.98 so gain = 100.98 - 100 = 0.98 gain % = gain * 100 / cp = = > 0.98 * 100 / 100 = 0.98 % answer : a\"" - }, - { - "Answer": 38, - "Options": "a ) 34 % , b ) 24 % , c ) 22 % , d ) 38 % , e ) 8.5 %", - "Correct": "d", - "Explanation": "\"instead of using complex calculations and remembering formulae , why dont u directly get to weighted average . 3 parts of 10 % + 1 part of x ( unknown ) % = 4 parts of 17 % = > x % = 68 % - 30 % = 38 % ans d it is .\"" - }, - { - "Answer": 1190, - "Options": "a ) a ) 1040 , b ) b ) 1045 , c ) c ) 1055 , d ) d ) 1190 , e ) e ) 1075", - "Correct": "d", - "Explanation": "\"cost of 8 kg apples = 70 \u00d7 8 = 560 . cost of 9 kg of mangoes = 70 \u00d7 9 = 630 . total cost he has to pay = 560 + 630 = 1190 . d )\"" - }, - { - "Answer": 45.23809523809524, - "Options": "a ) 70 % , b ) 45 % , c ) 48 % , d ) 30 % , e ) 40 %", - "Correct": "b", - "Explanation": "\"explanation : 840 - - - - 380 100 - - - - ? = > 45 % answer : b\"" - }, - { - "Answer": 44, - "Options": "a ) 44 % increase , b ) 44 % decrease , c ) 60 % increase , d ) 66 % increase , e ) 66 % decrease", - "Correct": "a", - "Explanation": "\"if n items are sold for $ p each , revenue is $ np . if we reduce the price by 20 % , the new price is 0.8 p . if we increase the number sold by 80 % , the new number sold is 1.8 n . so the new revenue is ( 0.8 p ) ( 1.8 n ) = 1.44 np , which is 1.44 times the old revenue , so is 44 % greater . answer : a\"" - }, - { - "Answer": 20, - "Options": "a ) 5 sec , b ) 25 sec , c ) 20 sec , d ) 15 sec , e ) 10 sec", - "Correct": "c", - "Explanation": "\"explanation : time taken to cover the entire length = tot . dist / resultant speed = 180 / ( 7 + 2 ) = 20 sec answer : c\"" - }, - { - "Answer": 1708.5, - "Options": "a ) rs . 1200 , b ) rs . 1690 , c ) rs . 1600 , d ) rs . 1700 , e ) rs . 1500", - "Correct": "d", - "Explanation": "\"s . i . for 1 year = rs . ( 1734 - 1717 ) = rs . 17 . principal = rs . ( 1717 - 17 ) = rs . 1700 . answer : option d\"" - }, - { - "Answer": 300, - "Options": "a ) 334 , b ) 300 , c ) 376 , d ) 288 , e ) 271", - "Correct": "b", - "Explanation": "\"let the maximum marks be m then 80 % of m = 240 \u21d2 80 / 100 \u00d7 m = 240 \u21d2 m = ( 240 \u00d7 100 ) / 80 \u21d2 m = 24000 / 80 \u21d2 m = 300 therefore , maximum marks in the examinations are 300 answer : b\"" - }, - { - "Answer": 68.96551724137932, - "Options": "a ) $ 120 , b ) $ 100 , c ) $ 91 , d ) $ 72 , e ) $ 69", - "Correct": "e", - "Explanation": "\"cost price = selling price * 100 / ( 100 + profit ) c . p . = 100 * 100 / 145 = $ 69 ( approximately ) answer is e\"" - }, - { - "Answer": 526.4957264957264, - "Options": "a ) 500 , b ) 334 , c ) 555 , d ) 664 , e ) 526", - "Correct": "e", - "Explanation": "110 % of s . p . = 616 s . p . = ( 616 * 100 ) / 110 = rs . 560 c . p = ( 110 * 560 ) / 117 = rs . 526 answer : option e" - }, - { - "Answer": 24.198064154867613, - "Options": "a ) 24.2 sec , b ) 30.6 sec , c ) 32.6 sec , d ) 28.1 sec , e ) 20.4 sec", - "Correct": "a", - "Explanation": "\"distance = length of train + length of bridge = 110 + 132 = 242 speed = 36 km / hr = 36 * 5 / 18 = 10 m / s required time = 242 / 10 = 24.2 seconds answer is a\"" - }, - { - "Answer": 14.111111111111112, - "Options": "a ) 6 % . , b ) 7.5 % . , c ) 9.2 % . , d ) 10.5 % . , e ) 14 % .", - "Correct": "e", - "Explanation": "denominator : 340 + 10 + 3.2 + 6.8 = 360 numerator : 340 ( 1 - . 80 - . 06 ) + 3.2 340 ( 0.14 ) + 3.2 47.6 + 3.2 50.8 ratio : 50.8 / 360 = 0.14 answer : e" - }, - { - "Answer": 41.66666666666667, - "Options": "a ) 38 , b ) 39 , c ) 40 , d ) 41 , e ) 42", - "Correct": "e", - "Explanation": "1.20 x = 50 - - > 6 / 5 * x = 50 - - > x = 50 * 5 / 6 = 250 / 6 = ~ 42 . answer : e ." - }, - { - "Answer": 6.0606060606060606, - "Options": "a ) 15 % , b ) 14.25 % , c ) 6.06 % , d ) 10.5 % , e ) 11.5 %", - "Correct": "c", - "Explanation": "\"explanation : the difference between compound interest and simple interest on rs . p for 2 years at r % per annum = ( r \u00e3 \u2014 si ) / ( 2 \u00e3 \u2014 100 ) difference between the compound interest and simple interest = 340 - 330 = 10 ( r \u00e3 \u2014 si ) / ( 2 \u00e3 \u2014 100 ) = 10 ( r \u00e3 \u2014 330 ) / ( 2 \u00e3 \u2014 100 ) = 10 r = 6.06 % answer : option c\"" - }, - { - "Answer": 27.77777777777778, - "Options": "a ) 15 , b ) 20 , c ) 27.77 , d ) 40 , e ) 12", - "Correct": "c", - "Explanation": "\"900 - - - - 250 100 - - - - ? = > 27.77 % answer : c\"" - }, - { - "Answer": 5.454545454545454, - "Options": "a ) 5.45 % , b ) 6.23 % , c ) 7 % , d ) 8.12 % , e ) 10 %", - "Correct": "a", - "Explanation": "\"c . p . = 4700 + 800 = $ 5500 s . p . = $ 5800 gain = 5800 - 5500 = $ 300 gain % = 300 / 5500 * 100 = 5.45 % answer is a\"" - }, - { - "Answer": 25000, - "Options": "a ) 20000 , b ) 10000 , c ) 25000 , d ) 34000 , e ) 30000", - "Correct": "c", - "Explanation": "\"sol = ~ s - so anju \u2019 s share = [ 5 / 9 ] x 45000 = 25000 c\"" - }, - { - "Answer": 57.14285714285714, - "Options": "a ) 45 % , b ) 50 % , c ) 57.14 % , d ) 60 % , e ) 65.12 %", - "Correct": "c", - "Explanation": "\"total number of votes polled = ( 1000 + 2000 + 4000 ) = 7000 so , required percentage = 4000 / 7000 * 100 = 57.14 % c\"" - }, - { - "Answer": 725, - "Options": "a ) 600 , b ) 887 , c ) 256 , d ) 654 , e ) 725", - "Correct": "e", - "Explanation": "\"cost price = rs . 500 profit = 45 % of 500 = rs . 225 selling price = cost price + profit = 500 + 225 = 725 answer : e\"" - }, - { - "Answer": 40, - "Options": "a ) 15 % , b ) 25 % , c ) 35 % , d ) 40 % , e ) 45 %", - "Correct": "d", - "Explanation": "\"cost price of article = 48 $ % of overhead cost = 15 net profit = 12 $ we need to calculate % markup net profit as % of cost price = ( 12 / 48 ) * 100 = 25 % total markup should be = 25 + 15 = 40 % answer d\"" - }, - { - "Answer": 43, - "Options": "a ) 20 % , b ) 43 % , c ) 99.33 % , d ) 75.109 % , e ) 47 %", - "Correct": "b", - "Explanation": "anyways , one can infer that he ' steals ' 10 % from suppliers and then charges 30 % extra to customers so basically 1.1 * 1.3 = 1.43 given that 1 is start point , we get 43 % more hence answer is b" - }, - { - "Answer": 24, - "Options": "a ) 24 % , b ) 25 % , c ) 30 % , d ) 33 % , e ) 40 %", - "Correct": "a", - "Explanation": "\"another method is to use the formula for 2 successive percentage changes : total = a + b + ab / 100 55 = 25 + b + 25 b / 100 b = 24 answer ( a )\"" - }, - { - "Answer": 7449.999999999999, - "Options": "a ) 7458 , b ) 7456 , c ) 7450 , d ) 7454 , e ) 7453", - "Correct": "c", - "Explanation": "\"explanation : cost price = 2086 / ( 0.14 + 0.14 ) = 2086 / 0.28 = rs . 7450 answer : c\"" - }, - { - "Answer": 315, - "Options": "a ) 197 , b ) 280 , c ) 189 , d ) 278 , e ) 315", - "Correct": "e", - "Explanation": "\"x * ( 85 / 100 ) = ( 540 - x ) 119 / 100 x = 315 answer : e\"" - }, - { - "Answer": 39, - "Options": "a ) 39 % , b ) 45 % , c ) 55 % , d ) 65 % , e ) 75 %", - "Correct": "a", - "Explanation": "\"setting up a matrix is how i solve this one . diploma no diploma totals job of choice w / diploma job of choice w / o diploma = 10 % job of choice total = 40 % not job of choice with diploma = . 15 x not job of choice w / o diploma = . 85 x total not job of choice = x total with diploma total without diploma total citizen = 100 if 40 % of people have their job of choice , then 60 % of people do not have their job of choice . 15 % of 60 % = 9 % . we can also see that 30 % of the people have their job of choice and a diploma ( 40 % - 10 % = 30 % ) . 30 % + 9 % = 39 % . therefore 39 % of the people in country z have a diploma . ans a\"" - }, - { - "Answer": 624.9999999999999, - "Options": "a ) rs . 150.50 , b ) rs . 154.75 , c ) rs . 156.25 , d ) rs . 625 , e ) none", - "Correct": "d", - "Explanation": "solution present worth = rs . [ 676 / ( 1 + 4 / 100 ) \u00b2 ] = rs . ( 676 x 25 / 26 x 25 / 26 ) = rs . 625 answer d" - }, - { - "Answer": 28, - "Options": "a ) 60 % , b ) 28 % , c ) 30 % , d ) 56 % , e ) 73 %", - "Correct": "b", - "Explanation": "\"let c . p . be rs . 100 . then , s . p . = rs . 121.60 let marked price be rs . x . then , 95 / 100 x = 121.60 x = 12160 / 95 = rs . 128 now , s . p . = rs . 128 , c . p . = rs . 100 profit % = 28 % . answer : b\"" - }, - { - "Answer": 550, - "Options": "a ) 550 , b ) 245 , c ) 150 , d ) 35 , e ) 350", - "Correct": "a", - "Explanation": "\"since 30 % of the boys from school a study science , then 70 % of the boys from school a do not study science and since 20 % of the total number of boys are from school a , then 0.2 * 0.7 = 0.14 , or 14 % of the boys in the camp are from school a and do not study science . we are told that this number equals to 77 , so 0.14 * { total } = 77 - - > { total } = 550 . answer : a .\"" - }, - { - "Answer": 2.5, - "Options": "a ) 1.5 , b ) 1.6 , c ) 2.5 , d ) 1.8 , e ) 1.9", - "Correct": "c", - "Explanation": "explanation : question of this type looks a bit typical , but it is too simple , as below . . . it will be 10 * 25 / 100 = 2.5 answer : option c" - }, - { - "Answer": 2400, - "Options": "a ) 1200 , b ) 50 , c ) 2400 , d ) 100 , e ) 600", - "Correct": "c", - "Explanation": "\"cp * ( 50 / 100 ) = 1200 cp = 24 * 100 = > cp = 2400 answer : c\"" - }, - { - "Answer": 29.999999999999996, - "Options": "a ) 20 , b ) 30 , c ) 35 , d ) 40 , e ) 55", - "Correct": "b", - "Explanation": "total = 75 books . 65 % of books that were loaned out are returned - - > 100 % - 70 % = 30 % of books that were loaned out are not returned . now , there are 66 books , thus 76 - 68 = 7 books are not returned . { loaned out } * 0.30 = 7 - - > { loaned out } = 30 . answer : b ." - }, - { - "Answer": 34, - "Options": "a ) 28.5 , b ) 27.675 , c ) 30 , d ) 34 % , e ) none of these", - "Correct": "d", - "Explanation": "\"giving no discount to customer implies selling the product on printed price . suppose the cost price of the article is 100 . then printed price = 100 \u00e3 \u2014 ( 100 + 27.3 ) / ( 100 \u00e2 \u02c6 \u2019 5 ) = 100 \u00e3 \u2014 127.3 / 95 = 134 hence , required % profit = 134 \u00e2 \u20ac \u201c 100 = 34 % answer d\"" - }, - { - "Answer": 313.6, - "Options": "a ) 321 , b ) 314 , c ) 316 , d ) 265 , e ) 162", - "Correct": "b", - "Explanation": "\"explanation : 560 * ( 80 / 100 ) * ( 70 / 100 ) = 314 answer : b\"" - }, - { - "Answer": 40, - "Options": "a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70", - "Correct": "b", - "Explanation": "\"let c . p = 100 gain = 25 % s . p = 125 supposed c . p = 80 gain = 30 % s . p = ( 130 * 80 ) / 100 = 104 diff = ( 125 - 104 ) = 21 diff 21 when c . p = 100 then diff 8.40 when c . p = ( 100 * 8.40 ) / 21 = 40 answer : b\"" - }, - { - "Answer": 1357.142857142857, - "Options": "a ) s . 1000 , b ) s . 1009 , c ) s . 1007 , d ) s . 1357.1 , e ) s . 1002", - "Correct": "d", - "Explanation": "\"explanation : 90 % 104 % - - - - - - - - 14 % - - - - 190 100 % - - - - ? = > rs . 1357.1 answer : d\"" - }, - { - "Answer": 388.8888888888889, - "Options": "a ) 263 , b ) 500 , c ) 388.9 , d ) 368 , e ) 339", - "Correct": "c", - "Explanation": "\"70 = ( p * 4 * 9 / 2 ) / 100 p = 388.9 answer : c\"" - }, - { - "Answer": 8.333333333333329, - "Options": "a ) 8.33 % , b ) 16 7 / 3 % , c ) 16 2 / 8 % , d ) 16 2 / 3 % , e ) 76 2 / 3 %", - "Correct": "a", - "Explanation": "\"600 - - - - 50 100 - - - - ? = > 8.33 % answer : a\"" - }, - { - "Answer": 6.319999999999999, - "Options": "a ) 6.32 , b ) 5.32 , c ) 7.32 , d ) 2.32 , e ) 1.32", - "Correct": "a", - "Explanation": "by investing rs . 2500 , income = rs . 200 by investing rs . 79 , income = 200 \u00e3 \u2014 79 / 2500 = 6.32 ie , dividend = 6.32 % answer is a ." - }, - { - "Answer": 6.25, - "Options": "a ) 2.45 % , b ) 5.62 % , c ) 5.35 % , d ) 6.9 % , e ) 6.25 %", - "Correct": "e", - "Explanation": "\"let principal = p then s . i . = p t = 16 yrs rate = ( 100 * p ) / ( p * 16 ) = 25 / 4 = 6.25 % p . a . answer is e\"" - }, - { - "Answer": 0.36, - "Options": "a ) 0.125 % , b ) 0.36 % , c ) 0.8 % , d ) 1.25 % , e ) 2.0 %", - "Correct": "b", - "Explanation": "percent of defective produced = 9 % percent of the defective units that are shipped for sale = 4 % percent of units produced are defective units that are shipped for sale = ( 4 / 100 ) * ( 9 / 100 ) * 100 % = ( 36 / 10000 ) * 100 % = ( 36 / 100 ) % = . 36 % answer b" - }, - { - "Answer": 17, - "Options": "a ) 17 % , b ) 16 % , c ) 19 % , d ) 78 % , e ) 28 %", - "Correct": "a", - "Explanation": "\"1500 - - - - 255 100 - - - - ? = > 17 % answer : a\"" - }, - { - "Answer": 600, - "Options": "a ) 560 , b ) 449 , c ) 600 , d ) 740 , e ) 460", - "Correct": "c", - "Explanation": "\"c 600 cost price = $ 500 profit = 20 % of 500 = $ 100 selling price = cost price + profit = 500 + 100 = 600\"" - }, - { - "Answer": 54.054054054054056, - "Options": "a ) 16 % , b ) 17 % , c ) 18 % , d ) 54 % , e ) 13 %", - "Correct": "d", - "Explanation": "\"total cp = rs . 36400 + rs . 8000 = rs . 44400 and sp = rs . 68400 profit ( % ) = ( 68400 - 44400 ) / 44400 * 100 = 54 % answer : d\"" - }, - { - "Answer": 50, - "Options": "a ) 30 % , b ) 35 % , c ) 40 % , d ) 45 % , e ) 50 %", - "Correct": "e", - "Explanation": "\"the number of gallons in the tank is ( 1 / 4 ) 24 = 6 gallons the amount of sodium chloride is 0.3 ( 6 ) = 1.8 gallons at the start , the amount of water is 0.7 ( 6 ) = 4.2 gallons after 6 hours , the amount of water is 4.2 - 0.4 ( 6 ) = 1.8 gallons the concentration of water is 1.8 / ( 1.8 + 1.8 ) = 1.8 / 3.6 = 50 % the answer is e .\"" - }, - { - "Answer": 10, - "Options": "a ) 8 , b ) 9 , c ) 6 , d ) 14 , e ) 10", - "Correct": "e", - "Explanation": "65 % - - - 20 130 % - - - ? 65 / 130 * 20 = 10 answer : e" - }, - { - "Answer": 1500, - "Options": "a ) rs . 1550 , b ) rs . 1430 , c ) rs . 1450 , d ) rs . 1400 , e ) rs . 1500", - "Correct": "e", - "Explanation": "\"explanation : market value = rs . 90 required income = rs . 500 . here face value is not given . take face value as rs . 100 if it is not given in the question to obtain rs . 30 ( ie , 30 % of the face value 100 ) , investment = rs . 90 to obtain rs . 15000 , investment = 90 / 30 \u00e3 \u2014 500 = rs . 1500 answer : option e\"" - }, - { - "Answer": 6.485714285714286, - "Options": "a ) 5.55 , b ) 6.25 , c ) 6.75 , d ) 7.02 , e ) 6.48", - "Correct": "e", - "Explanation": "required run rate = 275 - ( 3.2 x 15 ) / 35 = 227 / 35 = 6.48 option e" - }, - { - "Answer": 8.16, - "Options": "a ) 6.06 % , b ) 8.16 % , c ) 6.08 % , d ) 6.09 % , e ) 6.19 %", - "Correct": "b", - "Explanation": "amount of rs . 100 for 1 year when compounded half - yearly = [ 100 * ( 1 + 4 / 100 ) 2 ] = rs . 108.16 effective rate = ( 108.16 - 100 ) = 8.16 % answer : b" - }, - { - "Answer": 40, - "Options": "a ) s . 40 , b ) s . 12 , c ) s . 96 , d ) s . 50 , e ) s . 13", - "Correct": "a", - "Explanation": "\"sp per metre = 15000 / 500 = rs . 30 loss per metre = rs . 10 cp per metre = 30 + 10 = rs . 40 answer : a\"" - }, - { - "Answer": 35, - "Options": "a ) 27.5 % , b ) 30 % , c ) 35 % , d ) 37.5 % , e ) 40 %", - "Correct": "c", - "Explanation": "\"assume the total price = 100 x price after 20 % markup = 120 x price after 25 % further markup = 1.25 * 120 x = 150 x price after the discount = 0.9 * 150 x = 135 x hence total profit = 35 % option c\"" - }, - { - "Answer": 1, - "Options": "a ) 6 : 8 , b ) 9 : 8 , c ) 7 : 9 , d ) 9 : 5 , e ) 1 : 1", - "Correct": "e", - "Explanation": "\"( 3 * 6 + 6 * 6 ) : ( 4.5 * 12 ) 54 : 54 = > 1 : 1 answer : e\"" - }, - { - "Answer": 30.000000000000004, - "Options": "a ) 30 % , b ) 34 % , c ) 35 % , d ) 36 % , e ) 37 %", - "Correct": "a", - "Explanation": "\"total men in company 50 % means total women in company 50 % ( assume total people in company 100 % ) no of men employees attended picnic = 50 x ( 20 / 100 ) = 10 no of women employees attend picnic = 50 x ( 40 / 100 ) = 20 total percentage of employees attend the picnic = 10 + 20 = 30 % answer : a\"" - }, - { - "Answer": 225, - "Options": "a ) 215 , b ) 225 , c ) 230 , d ) 235 , e ) 240", - "Correct": "b", - "Explanation": "\"sp = 120 % of cp ; : . cp = 270 \u00d7 100 / 120 = 225 option ' b '\"" - }, - { - "Answer": 50, - "Options": "a ) 20 % , b ) 25 % , c ) 18 % , d ) 50 % , e ) none of these", - "Correct": "d", - "Explanation": "\"here , l = 7 and m = 14 therefore , first number = l / m x 100 % of second number = 7 / 14 x 100 % of second number = 50 % of second number answer : d\"" - }, - { - "Answer": 160, - "Options": "a ) rs . 170 , b ) rs . 160 , c ) rs . 1.70 , d ) rs . 4.25 , e ) none", - "Correct": "b", - "Explanation": "\"answer \u2235 0.5 / 100 of a = 80 / 100 \u2234 a = rs . ( 80 / 0.5 ) = rs . 160 correct option : b\"" - }, - { - "Answer": 3109, - "Options": "a ) 3109 , b ) 3209 , c ) 3108 , d ) 3107 , e ) 3100", - "Correct": "a", - "Explanation": "time = 2 years 4 months = 2 ( 4 / 12 ) years = 2 ( 1 / 3 ) years . amount = $ [ 8000 x ( 1 + \u00ad ( 15 / 100 ) ) 2 x ( 1 + ( ( 1 / 3 ) * 15 ) / 100 ) ] = $ [ 8000 * ( 23 / 20 ) * ( 23 / 20 ) * ( 21 / 20 ) ] = $ 11109 . . : . c . i . = rs . ( 11109 - 8000 ) = $ 3109 . answer a ." - }, - { - "Answer": 9.090909090909092, - "Options": "a ) 9.09 % , b ) 4.54 % , c ) 8 . 2 % , d ) 4.94 % , e ) 5.54 %", - "Correct": "a", - "Explanation": "\"let sum = x . then , s . i . = x . rate = ( 100 * s . i . ) / ( p * t ) = ( 100 * x ) / ( x * 11 ) = 100 / 11 = 9.09 % answer : a\"" - }, - { - "Answer": 25000, - "Options": "a ) rs 14000 , b ) rs 25000 , c ) rs 16000 , d ) rs 17000 , e ) none of these", - "Correct": "b", - "Explanation": "explanation : s . i . = p \u00e2 \u02c6 \u2014 r \u00e2 \u02c6 \u2014 t / 100 = > p = s . i . \u00e2 \u02c6 \u2014 100 / r \u00e2 \u02c6 \u2014 t = > p = 9000 \u00e2 \u02c6 \u2014 100 / 12 \u00e2 \u02c6 \u2014 3 = rs 25000 option b" - }, - { - "Answer": 357000, - "Options": "a ) 357000 , b ) 357003 , c ) 277677 , d ) 699377 , e ) 267877", - "Correct": "a", - "Explanation": "\"total number of invalid votes = 15 % of 560000 = 15 / 100 \u00d7 560000 = 8400000 / 100 = 84000 total number of valid votes 560000 \u2013 84000 = 476000 percentage of votes polled in favour of candidate a = 75 % therefore , the number of valid votes polled in favour of candidate a = 75 % of 476000 = 75 / 100 \u00d7 476000 = 35700000 / 100 = 357000 answer : a\"" - }, - { - "Answer": 715, - "Options": "a ) 600 , b ) 715 , c ) 269 , d ) 261 , e ) 281", - "Correct": "b", - "Explanation": "\"cost price = rs . 650 profit = 10 % of 650 = rs . 65 selling price = cost price + profit = 650 + 65 = rs . 715 answer : b\"" - }, - { - "Answer": 0.023809523809523808, - "Options": "a ) 1 / 12 , b ) 1 / 10 , c ) 1 / 8 , d ) 1 / 42 , e ) 5 / 9", - "Correct": "d", - "Explanation": "\"key is that there is no replacement , so each successive choice will become more skewed towards picking a neg ( i . e . the pool of positives decreases , while the pool of negatives stay the same ) p ( + on 1 st pick ) = 5 / 10 p ( + on 2 nd pick ) = 4 / 9 p ( + on 3 rd pick ) = 3 / 8 p ( + on 4 rd pick ) = 2 / 7 5 / 10 * 4 / 9 * 3 / 8 * 2 / 7 = 1 / 42 d\"" - }, - { - "Answer": 54, - "Options": "a ) 54 % , b ) 70 % , c ) 75 % , d ) 85 % , e ) 95 %", - "Correct": "a", - "Explanation": "\"find the product of the two increases : ( 1.4 ) * ( 1.1 ) , which is 1.54 and a 54 % increase . a\"" - }, - { - "Answer": 300, - "Options": "a ) s . 120 , b ) s . 130 , c ) s . 140 , d ) s . 150 , e ) s . 300", - "Correct": "e", - "Explanation": "at 5 % more rate , the increase in s . i for 10 years = rs . 150 ( given ) so , at 5 % more rate , the increase in si for 1 year = 150 / 10 = rs . 15 / - i . e . rs . 15 is 5 % of the invested sum so , 1 % of the invested sum = 15 / 5 therefore , the invested sum = 15 \u00d7 100 / 5 = rs . 300 answer : e" - }, - { - "Answer": 70, - "Options": "a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70", - "Correct": "e", - "Explanation": "\"let c . p = 100 gain = 25 % s . p = 125 supposed c . p = 80 gain = 30 % s . p = ( 130 * 80 ) / 100 = 104 diff = ( 125 - 104 ) = 21 diff 21 when c . p = 100 then diff 14.70 when c . p = ( 100 * 14.70 ) / 21 = 70 answer : e\"" - }, - { - "Answer": 50, - "Options": "a ) 47.5 % , b ) 44 % , c ) 50 % , d ) 35 % , e ) 38 %", - "Correct": "c", - "Explanation": "suppose enrollment in 1991 was 100 then enrollment in 1992 will be 120 and enrollment in 1993 will be 120 * 1.25 = 150 increase in 1993 from 1991 = 150 - 100 = 50 answer : c" - }, - { - "Answer": 7.391304347826086, - "Options": "a ) 8.39 , b ) 6.39 , c ) 7.39 , d ) 9.39 , e ) 2.39", - "Correct": "c", - "Explanation": "85 % - - - 10 115 % - - - ? 85 / 115 * 10 = 7.39 answer : c" - }, - { - "Answer": 60.00000000000001, - "Options": "a ) 18 % , b ) 13 % , c ) 60 % , d ) 40 % , e ) 15 %", - "Correct": "c", - "Explanation": "\"original price = 100 cp = 80 s = 80 * ( 200 / 100 ) = 160 100 - 160 = 60 % answer : c\"" - }, - { - "Answer": 0.5, - "Options": "a ) 0.005 % , b ) 0.02 % , c ) 0.5 % , d ) 5 % , e ) 20 %", - "Correct": "c", - "Explanation": "\"we are given that 0.01 ounces of water evaporated each day . furthermore , we know that this process happened over a 20 - day period . to calculate the total amount of water that evaporated during this time frame we need to multiply 0.01 by 20 . this gives us : 0.01 x 20 = 0.2 ounces finally , we are asked for \u201c what percent \u201d of the original amount of water evaporated during this period . to determine this percentage , we have to make sure we translate the expression correctly . we can translate it to : ( amount evaporated / original amount ) x 100 % ( 0.2 / 40 ) x 100 % = 0.5 % answer c\"" - }, - { - "Answer": 140, - "Options": "a ) 140 % , b ) 120 % , c ) 100 % , d ) 90 % , e ) 80 %", - "Correct": "a", - "Explanation": "let cost price = 100 % selling price = 120 % new s . p . = 240 % p % = 240 - 100 = 140 % answer is a" - }, - { - "Answer": 53.84615384615387, - "Options": "a ) 15 % , b ) 25 % , c ) 65 % , d ) 53.8 % , e ) 35 %", - "Correct": "d", - "Explanation": "\"explanation : 650 - - - 350 100 - - - ? = > 53.8 % answer : d\"" - }, - { - "Answer": 6, - "Options": "a ) 6 , b ) 12 , c ) 7 , d ) 15 , e ) 5", - "Correct": "a", - "Explanation": "work done = 5 / 8 balance work = ( 1 - 5 / 8 ) = 3 / 8 let the required number of days be x . then , ( 5 / 8 ) : ( 3 / 8 ) = : : 10 : x ( 5 / 8 ) * x = ( 3 / 8 ) * 10 x = ( 3 / 8 ) * 10 * ( 8 / 5 ) x = 6 . answer is a ." - }, - { - "Answer": 48, - "Options": "a ) 42 , b ) 48 , c ) 56 , d ) 208 , e ) 256", - "Correct": "b", - "Explanation": "\"sophomores = 26 % juniors = 22 % seniors = 160 / 800 = 20 % total : 68 % 1 - 68 % = 32 % ( freshmen ) 0,32 * 800 - 0,26 * 800 = 256 - 208 = 48 . answer choice b\"" - }, - { - "Answer": 300, - "Options": "a ) 250 , b ) 300 , c ) 350 , d ) 400 , e ) 450", - "Correct": "b", - "Explanation": "\"60 % = 180 marks 1 % = 3 marks 100 % = 300 marks the answer is b .\"" - }, - { - "Answer": 0.45, - "Options": "a ) 0.4 , b ) 0.55 , c ) 0.45 , d ) 0.48 , e ) 0.58", - "Correct": "c", - "Explanation": "cost price = 180 s . p = 180 * 120 / 100 = 216 disc = 45 so . . . mark price = 216 + 45 = 261 . . . . . . mark up % = 261 - 180 / 180 = 81 / 180 = . 45 or 45 % answer : c" - }, - { - "Answer": 1100, - "Options": "a ) 1667 , b ) 6789 , c ) 1200 , d ) 1100 , e ) 1421", - "Correct": "d", - "Explanation": "cp * ( 76 / 100 ) = 836 cp = 11 * 100 = > cp = 1100 answer : d" - }, - { - "Answer": 22, - "Options": "a ) 12 , b ) 18 , c ) 20 , d ) 22 , e ) 24", - "Correct": "d", - "Explanation": "\"let the length and the breadth of the floor be l m and b m respectively . l = b + 200 % of b = l + 2 b = 3 b area of the floor = 484 / 3 = 161.33 sq m l b = 161.33 i . e . , l * l / 3 = 161.33 l ^ 2 = 484 = > l = 22 . d\"" - }, - { - "Answer": 775, - "Options": "a ) 775 , b ) 620 , c ) 750 , d ) 800 , e ) 720", - "Correct": "a", - "Explanation": "\"cp * ( 80 / 100 ) = 620 cp = 7.75 * 100 = > cp = 775 answer : a\"" - }, - { - "Answer": 975, - "Options": "a ) 1000 , b ) 975 , c ) 980 , d ) 1020 , e ) 1080", - "Correct": "b", - "Explanation": "cost of 6 kg grapes = 74 \u00d7 6 = 444 . cost of 9 kg of mangoes = 59 \u00d7 9 = 531 . total cost he has to pay = 444 + 531 = 975 b" - }, - { - "Answer": 133, - "Options": "a ) 187 , b ) 133 , c ) 142 , d ) 178 , e ) 175", - "Correct": "b", - "Explanation": "\"175 * ( 80 / 100 ) * ( 95 / 100 ) = 133 answer : b\"" - }, - { - "Answer": 19999.99999999962, - "Options": "a ) 200000 , b ) 20000 , c ) 200029 , d ) 288778 , e ) 277789", - "Correct": "b", - "Explanation": "explanation : let sum = rs . x c . i . when compounded half yearly = c . i . when compounded annually = = > x = 20000 answer : b ) 20000" - }, - { - "Answer": 1799.9999999999995, - "Options": "a ) s 4000 , b ) s 2800 , c ) s 1800 , d ) s 3500 , e ) s 3100", - "Correct": "c", - "Explanation": "\"explanation : average rate = ( 144 / 3600 ) * 100 = 4 ratio = 1 : 1 so , first part = ( 1 / 2 ) * 3600 = rs 1800 . answer : c\"" - }, - { - "Answer": 15000, - "Options": "a ) 25000 , b ) 20000 , c ) 18000 , d ) 14000 , e ) 15000", - "Correct": "e", - "Explanation": "\"sol . principal = rs . [ 100 * 2700 / 6 * 3 ] = rs . [ 270000 / 18 ] = rs . 15000 . answer e\"" - }, - { - "Answer": 18.36, - "Options": "a ) $ 16.32 , b ) $ 18.36 , c ) $ 21.60 , d ) $ 24.48 , e ) $ 28.80", - "Correct": "b", - "Explanation": "\"the discounted price of one can of soda is ( 0.85 ) ( $ 0.30 ) , or $ 0.255 . therefore , the price of 72 cans of soda at the discounted price would be ( 72 ) ( $ 0.255 ) = 18.36 answer : b .\"" - }, - { - "Answer": 9, - "Options": "a ) 16 % , b ) 12 % , c ) 9 % , d ) 10 % , e ) 45 %", - "Correct": "c", - "Explanation": "\"let the rate be r % p . a . then , ( 5000 * r * 2 ) / 100 + ( 3000 * r * 4 ) / 100 = 1980 100 r + 120 r = 1980 r = 9 % answer : c\"" - }, - { - "Answer": 7200.000000000154, - "Options": "a ) 4500 , b ) 7500 , c ) 5000 , d ) 7200 , e ) none of these", - "Correct": "d", - "Explanation": "\"sol . ( d ) let the sum be 100 . therefore , si = 100 \u00d7 5 \u00d7 2100 = 10100 \u00d7 5 \u00d7 2100 = 10 and ci = 100 ( 1 + 5100 ) 2 \u2212 100100 ( 1 + 5100 ) 2 \u2212 100 \u2234 = 100 \u00d7 21 \u00d7 2120 \u00d7 20 \u2212 100 = 414 = 100 \u00d7 21 \u00d7 2120 \u00d7 20 \u2212 100 = 414 difference of ci and si = 41 \u2044 4 - 10 = 1 \u2044 4 if the difference is 1 \u2044 4 , the sum = 100 = > if the difference is 18 , the sum = 400 \u00d7 18 = 7200 answer d\"" - }, - { - "Answer": 22500, - "Options": "a ) 16000 , b ) 22500 , c ) 15000 , d ) 18000 , e ) 17000", - "Correct": "b", - "Explanation": "\"let the cp be $ x . had he offered 10 % discount , profit = 8 % profit = 8 / 100 x and hence his sp = x + 8 / 100 x = $ 1.08 x = 27000 - 10 / 100 ( 27000 ) = 27000 - 2700 = $ 22500 = > 1.08 x = 22500 = > x = 22500 b\"" - }, - { - "Answer": 25, - "Options": "a ) 25 , b ) 52 , c ) 58 , d ) 60 , e ) 62", - "Correct": "a", - "Explanation": "\"solution solution let the number be x . x - 16 % of x = 21 x - 16 / 100 x = 21 x - 4 / 25 x = 21 21 / 25 x = 21 x = ( 21 x 25 / 21 ) = 25 answer a\"" - }, - { - "Answer": 25, - "Options": "a ) 12 , b ) 15 , c ) 20 , d ) 25 , e ) 30", - "Correct": "d", - "Explanation": "\"75 / 60 = 1.25 the answer is d .\"" - }, - { - "Answer": 113935, - "Options": "a ) $ 252935 , b ) $ 432935 , c ) $ 122935 , d ) $ 112935 , e ) $ 152935", - "Correct": "d", - "Explanation": "\"the value of the machine after two years = 0.77 * 0.77 * 1 , 50,000 = $ 88,935 sp such that a profit of $ 24,000 is made = 88,935 + 24,000 = $ 1 , 12,935 d\"" - }, - { - "Answer": 5.85, - "Options": "a ) 4.25 , b ) 5.85 , c ) 6.25 , d ) 7 , e ) 7.5", - "Correct": "b", - "Explanation": "\"required run rate = 282 - ( 4.8 x 10 ) = 234 234 / 40 = 5.85 b )\"" - }, - { - "Answer": 26.08695652173913, - "Options": "a ) 18 % , b ) 21 % , c ) 20 % , d ) 26.1 % , e ) none of these", - "Correct": "d", - "Explanation": "\"cp = rs . 540 , mp = 540 + 15 % of 540 = rs . 621 sp = rs . 459 , discount = 621 - 459 = 162 discount % = 162 / 621 * 100 = 26.1 % answer : d\"" - }, - { - "Answer": 3500, - "Options": "a ) a ) 2500 , b ) b ) 3500 , c ) c ) 5000 , d ) d ) 6000 , e ) e ) 8000", - "Correct": "b", - "Explanation": "interest received by a from b = 10 % of half of rs . 5000 = 10 % * 2500 = 250 . amount received by a per annum for being a working partner = 500 * 12 = rs . 1000 . let ' p ' be the part of the remaining profit that a receives as his share . total income of a = ( 250 + 1000 + p ) total income of b = only his share from the remaining profit = ' p ' , as a and b share the remaining profit equally . income of a = twice the income of b ( 250 + 1000 + p ) = 2 ( p ) p = 1250 total profit = 2 p + 1000 = 2 * 1250 + 1000 = 3500 answer : b" - }, - { - "Answer": 128, - "Options": "a ) 80 % , b ) 105 % , c ) 120 % , d ) 124.2 % , e ) 128 %", - "Correct": "e", - "Explanation": "\"x = profits r = revenue x / r = 0,1 x = 10 r = 100 2009 : r = 80 x / 80 = 0,16 = 16 / 100 x = 80 * 16 / 100 x = 12.8 12.8 / 10 = 1,28 = 128 % , answer e\"" - }, - { - "Answer": 13.86, - "Options": "a ) 13.86 , b ) 16.33 , c ) 16.35 , d ) 16.3 , e ) 16.32", - "Correct": "a", - "Explanation": "\"c . p . of 50 kg wheat = ( 30 * 11.50 + 20 * 14.25 ) = rs . 630 . s . p . of 50 kg wheat = 110 % of rs . 630 = 110 / 100 * 630 = rs . 693 s . p . per kg = 693 / 50 = rs . 13.86 answer : a\"" - }, - { - "Answer": 1600, - "Options": "a ) 1100 , b ) 800 , c ) 1400 , d ) 1200 , e ) 1600", - "Correct": "e", - "Explanation": "\"let c ' s capital = rs . x . then , b ' s capital = rs . ( 2 / 3 ) x a \u2019 s capital = rs . ( 3 x ( 2 / 3 ) . x ) = rs . 2 x . ratio of their capitals = 2 x : ( 2 / 3 ) x : x = 6 : 2 : 3 . hence , b ' s share = rs . ( 8800 x ( 2 / 11 ) ) = rs . 1600 . answer is e\"" - }, - { - "Answer": 95.99999999999997, - "Options": "a ) 40 % , b ) 80 % , c ) 96 % , d ) 112 % , e ) 124 %", - "Correct": "c", - "Explanation": "let the radius of medium pizza be r . then the radius of large pizza is 1.4 r . the area of the medium pizza is pi * r ^ 2 the area of the large pizza is pi * ( 1.4 * r ) ^ 2 = 1.96 * pi * r ^ 2 , an increase of 96 % . the answer is c ." - }, - { - "Answer": 72.6, - "Options": "a ) $ 30.60 , b ) $ 72.60 , c ) $ 70.60 , d ) $ 40.60 , e ) $ 50.60", - "Correct": "b", - "Explanation": "\"the tip is 20 % of what he paid for lunch . hence tip = 20 % of 60.50 = ( 20 / 100 ) * 60.50 = $ 12.1 total spent 60.50 + 12.1 = $ 72.6 correct answer b\"" - }, - { - "Answer": 896, - "Options": "a ) 896 , b ) 1067 , c ) 1977 , d ) 1056 , e ) 1097", - "Correct": "a", - "Explanation": "\"1120 = p [ 1 + ( 5 * 5 ) / 100 ] p = 896 answer : a\"" - }, - { - "Answer": 85.00000000000001, - "Options": "a ) 45 % , b ) 55 % , c ) 65 % , d ) 75 % , e ) 85 %", - "Correct": "e", - "Explanation": "science majors make up 0.4 of the class . 60 % of the class are women and 0.1 * 0.6 = 0.06 of the class are female science majors . then 0.34 of the class are male science majors . 0.4 x = 0.34 x = 0.85 = 85 % the answer is e ." - }, - { - "Answer": 148, - "Options": "a ) 150 , b ) 148 , c ) 130 , d ) 160 , e ) 210", - "Correct": "b", - "Explanation": "\"125 % of 120 % of a = 222 125 / 100 * 120 / 100 * a = 222 a = 222 * 2 / 3 = 148 . answer b\"" - }, - { - "Answer": 2331.75, - "Options": "a ) 2331.75 , b ) 2209.75 , c ) 2108.75 , d ) 2107.75 , e ) 2100.75", - "Correct": "a", - "Explanation": "\"time = 2 years 4 months = 2 ( 4 / 12 ) years = 2 ( 1 / 3 ) years . amount = $ [ 6000 x ( 1 + \u00ad ( 15 / 100 ) ) 2 x ( 1 + ( ( 1 / 3 ) * 15 ) / 100 ) ] = $ [ 6000 * ( 23 / 20 ) * ( 23 / 20 ) * ( 21 / 20 ) ] = $ 8331.75 . : . c . i . = rs . ( 8331.75 - 6000 ) = $ 2331.75 answer a .\"" - }, - { - "Answer": 58, - "Options": "a ) 24 % , b ) 30 % , c ) 44 % , d ) 58 % , e ) 64 %", - "Correct": "d", - "Explanation": "\"percentage change in area = ( \u2212 30 \u2212 40 + ( 30 \u00d7 40 ) / 100 ) % = \u2212 58 % i . e . , area is decreased by 58 % answer : d\"" - }, - { - "Answer": 15200, - "Options": "a ) rs . 16000 , b ) rs . 15000 , c ) rs . 15250 , d ) rs . 15200 , e ) rs . 15300", - "Correct": "d", - "Explanation": "\"explanation : market value = rs . 280 required income = rs . 3800 . here face value is not given . take face value as rs . 100 if it is not given in the question to obtain rs . 70 ( ie , 70 % of the face value 100 ) , investment = rs . 280 to obtain rs . 3800 , investment = 280 / 70 \u00e3 \u2014 3800 = rs . 15200 answer : option d\"" - }, - { - "Answer": 4079.325870140444, - "Options": "a ) s . 3096 , b ) s . 4076 , c ) s . 4085 , d ) s . 4096 , e ) s . 5096", - "Correct": "c", - "Explanation": "principal = [ 4913 / ( 1 + 25 / ( 4 * 100 ) ) 3 ] = 4893 * 16 / 17 * 16 / 17 * 16 / 17 = rs . 4085 . answer : c" - }, - { - "Answer": 3600, - "Options": "a ) 9,00 , b ) 1,800 , c ) 2,700 , d ) 3,600 , e ) 4,800", - "Correct": "d", - "Explanation": "\"let ' s take the approach that uses the answer choices to eliminate wasted time . 45 / 15 = 3 bags per minute per machine . 150 machines = 450 per minute . 8 minutes worth = 3600 bags . looking at the answers it is clear . . . we can only choose ( d ) . the correct answer is d .\"" - }, - { - "Answer": 10040.625, - "Options": "a ) rs . 10060.625 , b ) rs . 10040.62 , c ) rs . 12040.62 , d ) rs . 20040.625 , e ) rs . 10030.625", - "Correct": "b", - "Explanation": "\"principal = ( 100 * 4016.25 ) / ( 8 * 5 ) = rs . 10040.625 . answer : b\"" - }, - { - "Answer": 1.4399999999999988, - "Options": "a ) 1.44 % , b ) 2.56 % , c ) 3.12 % , d ) 4.65 % , e ) 5.12 %", - "Correct": "a", - "Explanation": "\"in such a case there is always a loss loss % = ( 12 / 10 ) ^ 2 = 36 / 25 = 1.44 % answer is a\"" - }, - { - "Answer": 91.76470588235296, - "Options": "a ) 80 , b ) 95 , c ) 105 , d ) 120 , e ) 91", - "Correct": "e", - "Explanation": "20 % of the workerswithoutretirement plan are women , this means 80 % of the workerswithoutretirement plan are men right ? makes 100 % = no retirement plan . then 40 % of those wo have a retirement plan are men , which means 60 % of those who have a retirement plan are women . these percentages are always refering to the subgroupsretirement plan = yesandno retirement plan . make the total workers equal x and work from there and it should be fine > x / 3 have no retirement plan at all . i struggled with the question a lot , it was hard for me although usually i have no problems with sets questions like this . i believe it must be a 700 + question . yes , you are right . i read the question incorrectly ! i glazed overnotfor some reason . if 20 % of the workers who do not have a retirement plan are women , 80 % who do not have retirement plan are men . also 40 % who do have retirement plan are men . since 1 / 3 do not have retirement plan and 2 / 3 do have , it becomes a simple weighted average question . cavg = ( 90 * 1 + 40 * 2 ) / 3 = 170 / 3 % are men total = 120 * 300 / 170 = 211 no . of women = 211 - 120 = 91 e" - }, - { - "Answer": 80, - "Options": "a ) 70 minutes , b ) 72 minutes , c ) 80 minutes , d ) 76 minutes , e ) 77 minutes", - "Correct": "c", - "Explanation": "\"time taken to reach = 2400 / 30 = 80 minutes answer : c\"" - }, - { - "Answer": 6.25, - "Options": "a ) 5 % , b ) 7 % , c ) 6.25 % , d ) 2 % , e ) 4 %", - "Correct": "c", - "Explanation": "\"200 = ( 800 * 4 * r ) / 100 r = 6.25 % answer : c\"" - }, - { - "Answer": 1634, - "Options": "a ) 1240 , b ) 1120 , c ) 1190 , d ) 1634 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : td = ( bg \u00d7 100 ) / tr = ( 684 \u00d7 100 ) / ( 6 \u00d7 12 ) = rs . 950 bg = bd \u2013 td = > 684 = bd - 950 = > bd = 684 + 950 = 1634 answer : option d\"" - }, - { - "Answer": 32, - "Options": "a ) 20 % , b ) 32 % , c ) 23.365 % , d ) 22.109 % , e ) 2 %", - "Correct": "b", - "Explanation": "anyways , one can infer that he ' steals ' 20 % from suppliers and then charges 10 % extra to customers so basically 1.2 * 1.1 = 1.32 given that 1 is start point , we get 32 % more hence answer is b" - }, - { - "Answer": 336.00000000000045, - "Options": "a ) 160 , b ) 220 , c ) 336 , d ) 360 , e ) 420", - "Correct": "c", - "Explanation": "\"let ' s xx be total quantity of employees 0.6 x = females before adding men 0.55 ( x + 28 ) = females after adding men as quantity of women does n ' t change we can make an equation : 0.6 x = 0.55 ( x + 28 ) 0.05 x = 15.4 x = 308 - this is quantity of employees before adding 28 men so after adding it will be 336 answer is c\"" - }, - { - "Answer": 8470.000000000002, - "Options": "a ) $ 8080 , b ) $ 8130 , c ) $ 8260 , d ) $ 8320 , e ) $ 8470", - "Correct": "e", - "Explanation": "\"a = ( 1 + r / 100 ) ^ n * p ( 1.1 ) ^ 2 * 7000 = 1.21 * 7000 = 8470 the answer is e .\"" - }, - { - "Answer": 4, - "Options": "a ) 4 % , b ) 4.1 % , c ) 4.2 % , d ) 4.3 % , e ) 4.5 %", - "Correct": "a", - "Explanation": "\"interest for 1 year = 320 / 2 = 160 interest on rs 4000 p / a = 160 interest rate = 160 / 4000 * 100 = 4 % answer : a\"" - }, - { - "Answer": 900, - "Options": "a ) $ 410 , b ) $ 500 , c ) $ 650 , d ) $ 710 , e ) $ 900", - "Correct": "e", - "Explanation": "p = $ 10000 r = 9 % t = 12 / 12 years = 1 year s . i . = p * r * t / 100 = 10000 * 9 * 1 / 100 = $ 900 answer is e" - }, - { - "Answer": 54, - "Options": "a ) 8 \u00b0 , b ) 10 \u00b0 , c ) 18 \u00b0 , d ) 54 \u00b0 , e ) 52 \u00b0", - "Correct": "d", - "Explanation": "\"14 % microphotonics ; 24 % home electronics ; 10 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; 100 - ( 14 + 24 + 10 + 29 + 8 ) = 15 % basic astrophysics . 15 % of 360 \u00b0 is 54 \u00b0 . answer : d .\"" - }, - { - "Answer": 2880, - "Options": "a ) 2880 , b ) 2870 , c ) 2860 , d ) 2850 , e ) 2840", - "Correct": "a", - "Explanation": "\"sum = ( b . d * t . d ) / ( b . d - t . d ) ( 576 * 480 ) / 576 - 480 ; 2880 answer : a\"" - }, - { - "Answer": 17.5, - "Options": "a ) $ 25 , b ) $ 17.50 , c ) $ 29.65 , d ) $ 35.95 , e ) $ 45.62", - "Correct": "b", - "Explanation": "\"s . p . of each of the article = 50 / 2 = $ 25 let m . p = $ x 70 % of x = 25 x = 25 * . 7 = $ 17.50 answer is b\"" - }, - { - "Answer": 200, - "Options": "a ) 165 , b ) 170 , c ) 175 , d ) 180 , e ) 200", - "Correct": "e", - "Explanation": "\"assume that face value = rs . 100 as it is not given to earn rs . 8 , money invested = rs . 100 to earn rs . 16 , money invested = 100 \u00d7 16 / 8 = rs . 175 ie , market value of the stock = rs . 200 answer is e .\"" - }, - { - "Answer": 0.6666666666666667, - "Options": "a ) 1 / 2 , b ) 1 / 3 , c ) 2 / 3 , d ) 3 / 5 , e ) 2 / 7", - "Correct": "c", - "Explanation": "\"- - - - - - - - - - - - - - - - - - - - m - - - - - - w - - - - - - - - total marrried - - - - - - - - - - 20 - - - - - 20 - - - - - - - - - 40 not married - - - - - 10 - - - - - 50 - - - - - - - - - 60 total - - - - - - - - - - - - - 30 - - - - - 70 - - - - - - - - 100 need married man / total man , so 20 / 30 = 2 / 3 c\"" - }, - { - "Answer": 6.545454545454545, - "Options": "a ) 6.54 , b ) 9.45 , c ) 7.34 , d ) 6.67 , e ) 5.09", - "Correct": "a", - "Explanation": "\"90 % - - - 8 110 % - - - ? 90 / 110 * 8 = 6.54 answer : a\"" - }, - { - "Answer": 22.22222222222222, - "Options": "a ) 10.22 % , b ) 20.22 % , c ) 21.22 % , d ) 22.22 % , e ) ca n ' t be calculated", - "Correct": "d", - "Explanation": "\"the owner buys 100 kg but actually gets 110 kg ; the owner sells 100 kg but actually gives 90 kg ; profit : ( 110 - 90 ) / 90 * 100 = ~ 22.22 % answer : d .\"" - }, - { - "Answer": 4000, - "Options": "a ) 4000 , b ) 3000 , c ) 5500 , d ) 4500 , e ) none of these", - "Correct": "a", - "Explanation": "explanation : b ' s share = rs 20000 * ( 3 / 10 ) = rs 6000 c ' s share = rs 20000 * ( 5 / 10 ) = rs 10000 difference in b ' s and c ' s shares = rs 4000 answer : a" - }, - { - "Answer": 25, - "Options": "a ) 25 % , b ) 20 % , c ) 15 % , d ) 10 % , e ) 5 %", - "Correct": "a", - "Explanation": "\"6000 - - - 1500 100 - - - ? = > 25 % answer : a\"" - }, - { - "Answer": 90.9090909090909, - "Options": "a ) 90 % , b ) 65 % , c ) 50 % , d ) 85 % , e ) 80 %", - "Correct": "a", - "Explanation": "number of dogs with profitable spots = ( 6 + 3 ) = 6 + 3 = 9 now , we need to calculate 9 is what percent of 10 . = > 9 / 10 * 100 = 90 % a" - }, - { - "Answer": 0.25, - "Options": "a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 1 , e ) 3", - "Correct": "a", - "Explanation": "concentration of salt in pure solution = 0 concentration of salt in salt solution = 50 % concentration of salt in the mixed solution = 10 % the pure solution and the salt solution is mixed in the ratio of - - > ( 50 - 10 ) / ( 10 - 0 ) = 4 / 1 1 / x = 4 / 1 x = 1 / 4 answer : a" - }, - { - "Answer": 63.19565217391304, - "Options": "a ) 40 % , b ) 55 % , c ) 57 % , d ) 63.2 % , e ) 62 %", - "Correct": "d", - "Explanation": "\"total number of votes polled = ( 1136 + 5636 + 11628 ) = 18400 so , required percentage = 11628 / 18400 * 100 = 63.2 % d\"" - }, - { - "Answer": 8, - "Options": "a ) 0.2 % , b ) 8 % , c ) 10 % , d ) 20 % , e ) 500 %", - "Correct": "b", - "Explanation": "\"4 = x * 50 / 100 x = 8 % ans ; b\"" - }, - { - "Answer": 992, - "Options": "a ) $ 480 , b ) $ 450 , c ) $ 992 , d ) $ 870 , e ) $ 660", - "Correct": "c", - "Explanation": "\"c let c . p . = $ x . then , 832 - x = x - 448 2 x = 1280 = > x = 640 required s . p . = 155 % of $ 640 = 150 / 100 * 640 = $ 992 .\"" - }, - { - "Answer": 6625, - "Options": "a ) 7297 , b ) 6625 , c ) 2871 , d ) 6725 , e ) 2981", - "Correct": "b", - "Explanation": "\"explanation : cp = sp * ( 100 / ( 100 + profit % ) ) = 8215 ( 100 / 124 ) = rs . 6625 . answer : b\"" - }, - { - "Answer": 6999.999999999999, - "Options": "a ) 7000 , b ) 6800 , c ) 8000 , d ) 5400 , e ) 7100", - "Correct": "a", - "Explanation": "20 % od 90 % = 18 % , 70 % 0 f 90 % = 63 % so the remaining 90 - 18 - 63 = 9 % = 630 acres or 10 % of 90 % = 9 % - - > 630 / 9 * 100 = 7000 acres answer ( a )" - }, - { - "Answer": 20.52173913043478, - "Options": "a ) 7.6 % , b ) 7.7 % , c ) 20.52 % , d ) 23.62 % , e ) 27.82 %", - "Correct": "c", - "Explanation": "\"explanation : let marked price be re . 1 each c . p . of 56 pens = rs . 46 s . p . of 56 pens = 99 % of rs . 56 = rs . 55.44 profit % = ( profit / c . p . ) x 100 profit % = ( 9.44 ) x 100 = 20.52 % answer : c\"" - }, - { - "Answer": 1325, - "Options": "a ) 1320 , b ) 1300 , c ) 1325 , d ) 120 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : required sum = pw of rs . 702 due 6 months hence + pw of rs . 702 due 1 year hence = rs . [ 100 \u00d7 702 / 100 + ( 8 \u00d7 12 ) + 100 \u00d7 702 / 100 + ( 8 \u00d7 1 ) ] = rs . 1325 answer : c\"" - }, - { - "Answer": 33.77777777777778, - "Options": "a ) $ 45.10 , b ) $ 34.31 , c ) $ 28.44 , d ) $ 67.54 , e ) $ 33.77", - "Correct": "e", - "Explanation": "\"let x be the price before the first discount . the price after the first discount is x - 25 % x ( price after first discount ) a second discount of 25 % of the discounted price after which the final price is 19 ( x - 25 % x ) - 25 % ( x - 25 % x ) = 19 solve for x x = $ 33.77 correct answer e\"" - }, - { - "Answer": 19.954259576901087, - "Options": "a ) 22 % , b ) 23 % , c ) 21 % , d ) 20 % , e ) 17 %", - "Correct": "d", - "Explanation": "let the first discount be x % then , 87.5 % of ( 100 - x ) % of 150 = 105 87.5 / 100 * ( 100 - x ) / 100 * 450 = 150 = > 105 = > 100 - x = ( 105 * 100 * 100 ) / ( 150 * 87.5 ) = 80 x = ( 100 - 80 ) = 20 first discount = 20 % option d" - }, - { - "Answer": 150, - "Options": "a ) 120 , b ) 125 , c ) 130 , d ) 135 , e ) 150", - "Correct": "e", - "Explanation": "\"say the number of students who read book a is a and the number of students who read book b is b . given that 20 % of those who read book a also read book b and 50 % of those who read book b also read book a , so the number of students who read both books is 0.2 a = 0.5 b - - > a = 2.5 b . since each student read at least one of the books then { total } = { a } + { b } - { both } - - > 300 = 2.5 b + b - 0.5 b - - > b = 100 , a = 2.5 b = 250 and { both } = 0.5 b = 50 . the number of students who read only book a is { a } - { both } = 250 - 50 = 200 ; the number of students who read only book b is { b } - { both } = 100 - 50 = 50 ; the difference is 200 - 50 = 150 . answer : e .\"" - }, - { - "Answer": 25, - "Options": "a ) 5 % , b ) 11 % , c ) 13 % , d ) 25 % , e ) 19 %", - "Correct": "d", - "Explanation": "\"let s . p . = $ 100 c . p . = $ 80 profit = $ 20 profit % = 20 / 80 * 100 = 25 / 6 = 25 % answer is d\"" - }, - { - "Answer": 250, - "Options": "a ) $ 150 , b ) $ 200 , c ) $ 250 , d ) $ 120 , e ) $ 100", - "Correct": "c", - "Explanation": "\"let c . p . be $ x then 110 % of x - 90 % of x = 50 20 % of x = 50 x / 5 = 50 x = 250 answer is c\"" - }, - { - "Answer": 75000, - "Options": "a ) 12653 , b ) 14587 , c ) 36975 , d ) 75000 , e ) 12874", - "Correct": "d", - "Explanation": "explanation : a : b = 2 : 3 = 2 : 3 = > a : c = 2 : 1 = 2 : 1 = > a : b : c = 2 : 3 : 1 b share = ( 3 / 6 ) * 150000 = 75000 option d" - }, - { - "Answer": 2799.9999999999995, - "Options": "a ) rs . 2500 , b ) rs . 2700 , c ) rs . 2800 , d ) rs . 5000 , e ) rs . 6000", - "Correct": "c", - "Explanation": "explanation : ( x * 3 * 1 ) / 100 + [ ( 4000 - x ) * 5 * 1 ] / 100 = 144 3 x / 100 + 200 \u00e2 \u20ac \u201c 5 x / 100 = 144 2 x / 100 = 56 \u00e3 \u00a8 x = 2800 answer is c" - }, - { - "Answer": 1200, - "Options": "a ) 20 , b ) 120 , c ) 360 , d ) 1200 , e ) 820", - "Correct": "d", - "Explanation": "\"let the number x . then , 20 % of x = 200 x = ( 200 * 100 ) / 20 = 1000 120 % of x = ( 120 / 100 * 1000 ) = 1200 . answer : d\"" - }, - { - "Answer": 67.74193548387096, - "Options": "a ) 28 % , b ) 41 % , c ) 45 % , d ) 72 % , e ) 68 %", - "Correct": "e", - "Explanation": "\"total population = 80 ( assume ) . 5 / 8 * 80 = 50 people from montague . 3 / 8 * 80 = 30 people from capulet . 0.2 * 50 = 10 people from montague support juliet . 0.7 * 30 = 21 people from capulet support juliet . the probability that a juliet supporter chosen at random resides in capulet is 21 / ( 10 + 21 ) = ~ 68 . answer : e\"" - }, - { - "Answer": 18000, - "Options": "a ) rs 14000 , b ) rs 15000 , c ) rs 16000 , d ) rs 18000 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : s . i . = p \u00e2 \u02c6 \u2014 r \u00e2 \u02c6 \u2014 t / 100 = > p = s . i . \u00e2 \u02c6 \u2014 100 / r \u00e2 \u02c6 \u2014 t = > p = 6480 \u00e2 \u02c6 \u2014 100 / 12 \u00e2 \u02c6 \u2014 3 = rs 18000 option d\"" - }, - { - "Answer": 4.249999999999909, - "Options": "a ) 8.25 , b ) 4.25 , c ) 9.25 , d ) 3.25 , e ) 2.25", - "Correct": "b", - "Explanation": "\"s . i . = ( 1700 * 10 * 1 ) / 100 = rs . 170 c . i . = [ 1700 * ( 1 + 5 / 100 ) 2 - 1700 ] = rs . 174.25 difference = ( 174.25 - 174 ) = rs . 4.25 . answer : b\"" - }, - { - "Answer": 5625, - "Options": "a ) 7450 , b ) 14900 , c ) 5625 , d ) 7500 , e ) none of these", - "Correct": "c", - "Explanation": "explanation : cost price = 1800 / ( 0.16 + 0.16 ) = 1800 / 0.32 = rs . 5625 answer c" - }, - { - "Answer": 536, - "Options": "a ) $ 496.30 , b ) $ 536.00 , c ) $ 555.40 , d ) $ 574.90 , e ) $ 588.20", - "Correct": "b", - "Explanation": "\"670 = 1.25 * x x = 670 / 1.25 = 536 $ 536 , which is ( b ) .\"" - }, - { - "Answer": 320, - "Options": "a ) $ 260 , b ) $ 290 , c ) $ 320 , d ) $ 350 , e ) $ 380", - "Correct": "c", - "Explanation": "\"let the money sandy took for shopping be x . 0.7 x = 224 x = 320 the answer is c .\"" - }, - { - "Answer": 87500, - "Options": "a ) 92500 , b ) 75230 , c ) 65990 , d ) 45280 , e ) 87500", - "Correct": "e", - "Explanation": "let the original value of the tempo is $ x 1.3 % of 4 / 5 of x = 910 ( 13 / 10 ) * ( 1 / 100 ) * ( 4 / 5 ) x = 910 x = $ 87500 answer is e" - }, - { - "Answer": 13.999999999999996, - "Options": "a ) 3 , b ) 6 , c ) 14 , d ) 17 , e ) 20", - "Correct": "c", - "Explanation": "\"number of apples = 14 number of oranges = 20 let number of oranges that must be removed so that 70 % of pieces of fruit in bowl will be apples = x total number of fruits after x oranges are removed = 14 + ( 20 - x ) = 34 - x 14 / ( 34 - x ) = 7 / 10 = > 20 = 34 - x = > x = 14 answer c\"" - }, - { - "Answer": 89, - "Options": "a ) 92.5 % , b ) 89.0 % , c ) 85.2 % , d ) 96.8 % , e ) 78.9 %", - "Correct": "b", - "Explanation": "\"total number of fruits shopkeeper bought = 600 + 400 = 1000 number of rotten oranges = 15 % of 600 = 15 / 100 \u00d7 600 = 9000 / 100 = 90 number of rotten bananas = 5 % of 400 = 20 therefore , total number of rotten fruits = 90 + 20 = 110 therefore number of fruits in good condition = 1000 - 110 = 890 therefore percentage of fruits in good condition = ( 890 / 1000 \u00d7 100 ) % = ( 89000 / 1000 ) % = 89.0 % answer : b\"" - }, - { - "Answer": 13505, - "Options": "a ) 13505 , b ) 12004 , c ) 15003 , d ) 14500 , e ) 16400", - "Correct": "a", - "Explanation": "\"( 14500 * 3 * 3 ) / 100 = 1305 12200 - - - - - - - - 13505 answer : a\"" - }, - { - "Answer": 222.904, - "Options": "a ) 321 , b ) 223 , c ) 245 , d ) 265 , e ) 162", - "Correct": "b", - "Explanation": "\"explanation : 298 * ( 88 / 100 ) * ( 85 / 100 ) = 223 answer : b\"" - }, - { - "Answer": 60, - "Options": "a ) 60 , b ) 50 , c ) 40 , d ) 70 , e ) 45", - "Correct": "a", - "Explanation": "\"round trip means 2 trips i . e . to and fro . he has completed one i . e 50 % completed . then he traveled another 20 % of 50 % i . e 10 % . so he completed 50 + 10 = 60 % of total trip a\"" - }, - { - "Answer": 6, - "Options": "a ) 4 % , b ) 5 % , c ) 6 % , d ) 7 % , e ) 8 %", - "Correct": "c", - "Explanation": "explanation : gain % = ( 152.36 * 100 / 2400 ) = 6.34 % = 6 % approx option c" - }, - { - "Answer": 6250, - "Options": "a ) 7450 , b ) 14900 , c ) 6250 , d ) 6000 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : cost price = 1500 / ( 0.12 + 0.12 ) = 1500 / 0.24 = rs . 6250 answer c\"" - }, - { - "Answer": 450, - "Options": "a ) 334 , b ) 500 , c ) 376 , d ) 450 , e ) 271", - "Correct": "d", - "Explanation": "\"let the maximum marks be m then 90 % of m = 405 \u21d2 90 / 100 \u00d7 m = 405 \u21d2 m = ( 405 \u00d7 100 ) / 90 \u21d2 m = 40500 / 90 \u21d2 m = 450 therefore , maximum marks in the examinations are 450 answer : d\"" - }, - { - "Answer": 6, - "Options": "a ) 6 , b ) 6.25 , c ) 7.25 , d ) 7.5 , e ) 8", - "Correct": "a", - "Explanation": "required run rate = 272 - ( 3.2 x 10 ) = 240 = 6 40 40 a" - }, - { - "Answer": 10.76923076923077, - "Options": "a ) 16 % , b ) 10.76 % , c ) 10.69 % , d ) 10.98 % , e ) 10 %", - "Correct": "b", - "Explanation": "\"increase = ( 7 / 65 ) * 100 = ( 7 / 65 ) * 100 = 10.76 % . b\"" - }, - { - "Answer": 30, - "Options": "a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 50", - "Correct": "c", - "Explanation": "\"78 / 60 = 1.3 the answer is c .\"" - }, - { - "Answer": 1289.0625, - "Options": "a ) 10290 , b ) 5290 , c ) 1289 , d ) 1290 , e ) 2290", - "Correct": "c", - "Explanation": "c . i . = 2000 ( 21 / 20 ) ^ 2 - 1800 = 1289 answer : c" - }, - { - "Answer": 250, - "Options": "a ) $ 150 , b ) $ 210 , c ) $ 250 , d ) $ 160 , e ) $ 200", - "Correct": "c", - "Explanation": "let the total amount be x then , ( 100 - 10 ) % of x = 100 + 125 90 % of x = 225 90 x / 100 = 225 x = $ 250 answer is c" - }, - { - "Answer": 150, - "Options": "a ) rs . 72 , b ) rs . 150 , c ) rs . 112.50 , d ) rs . 116.50 , e ) none of these", - "Correct": "b", - "Explanation": "\"solution to obtain rs . 8 , investment = rs . 100 . to obtain rs . 12 , investment = rs . ( 100 / 8 x 12 ) = rs . 150 \u2234 market value of rs . 100 stock = rs . 150 answer b\"" - }, - { - "Answer": 1000, - "Options": "a ) 1000 , b ) 800 , c ) 1400 , d ) 1200 , e ) none of them", - "Correct": "a", - "Explanation": "\"let c ' s capital = rs . x . then , b ' s capital = rs . ( 2 / 3 ) x a \u2019 s capital = rs . ( 3 x ( 2 / 3 ) . x ) = rs . 2 x . ratio of their capitals = 2 x : ( 2 / 3 ) x : x = 6 : 2 : 3 . hence , b ' s share = rs . ( 5500 x ( 2 / 11 ) ) = rs . 1000 . answer is a\"" - }, - { - "Answer": 3000, - "Options": "a ) $ 1000 , b ) $ 1250 , c ) $ 2500 , d ) $ 3000 , e ) $ 1200", - "Correct": "d", - "Explanation": "let a ' s salary is x b ' s salary = 4000 - x ( 100 - 95 ) % of x = ( 100 - 85 ) % of ( 4000 - x ) x = $ 3000 answer is d" - }, - { - "Answer": 115.92740743, - "Options": "a ) 117 % , b ) 120 % , c ) 121 % , d ) 135 % , e ) 140 %", - "Correct": "a", - "Explanation": "\"since michelle earns 6 % interest compounded semiannually , then she earns 3 % interest every 6 months . now , the simple interest earned in 5 periods ( 30 months = 5 * 6 months ) would be 3 % * 5 = 15 % . but , since the interest iscompoundedevery 6 months , then there would be interest earned on interest ( very small amount ) thus the actual interest earned would be a little bit more than 15 % , only answer choice a fits . answer : a\"" - }, - { - "Answer": 16, - "Options": "a ) 13 % , b ) 14 % , c ) 15 % , d ) 16 % , e ) 17 %", - "Correct": "d", - "Explanation": "\"number of ducks in small pond = 20 green ducks in small pond = 20 % of 20 = 4 ducks number of ducks in large pond = 80 green ducks in large pond = 15 % of 80 = 12 ducks total number of ducks = 20 + 80 = 100 total number of green ducks = 4 + 12 = 16 ducks percentage of green ducks = 16 / 100 * 100 = 16 % answer : d\"" - }, - { - "Answer": 19999.999999999996, - "Options": "a ) rs . 25000 , b ) rs . 20000 , c ) rs . 15000 , d ) rs . 22000 , e ) none of these", - "Correct": "b", - "Explanation": "let the total worth of the stock be rs . x . the sp of 20 % of the stock = 1 / 5 * x * 1.1 = 11 x / 50 the sp of 80 % of the stock = 4 / 5 * x * 0.95 = 19 x / 25 = 38 x / 50 total sp = 11 x / 50 + 38 x / 50 = 49 x / 50 overall loss = x - 49 x / 50 = x / 50 x / 50 = 400 = > x = 20000 answer : b" - }, - { - "Answer": 324138, - "Options": "a ) 324138 , b ) 248888 , c ) 378908 , d ) 277880 , e ) 379010", - "Correct": "a", - "Explanation": "explanation : total population = 728400 migrants = 35 % of 728400 = 254940 local population = ( 728400 - 254940 ) = 473460 . rural migrants = 20 % of 254940 = 50988 urban migrants = ( 254940 - 50988 ) = 203952 female population = 48 % of 473460 + 30 % of 50988 + 40 % of 203952 = 324138 answer : a" - }, - { - "Answer": 630.5000000000009, - "Options": "a ) rs . 473 , b ) rs . 374 , c ) rs . 495 , d ) rs . 630 , e ) none of the above", - "Correct": "d", - "Explanation": "10 % interest per annum will be 5 % interest half yearly for 3 terms ( 1 1 / 2 years ) so compound interest = 4000 [ 1 + ( 5 / 100 ) ] ^ 3 - 4000 = 4000 [ ( 21 / 20 ) ^ 3 - 1 ] = 4000 ( 9261 - 8000 ) / 8000 = 4 * 1261 / 8 = 630 answer : d" - }, - { - "Answer": 17272.727272727272, - "Options": "a ) 22000 , b ) 20000 , c ) 25123 , d ) 17272 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : 22 % of income = rs . 3800 100 % of income = 3800 x 100 / 22 = rs . 17272 answer : d\"" - }, - { - "Answer": 900, - "Options": "a ) 1200 , b ) 600 , c ) 750 , d ) 900 , e ) none of these", - "Correct": "d", - "Explanation": "difference of s . i . = \u221a 31.50 let each sum be x . then x \u00d7 4 1 / 2 \u00d7 7 / 100 \u2212 x \u00d7 4 \u00d7 7 / 100 = 31.50 or 7 \u2044 100 x \u00d7 1 \u2044 2 = 63 \u2044 2 or x = 900 answer d" - }, - { - "Answer": 1000, - "Options": "a ) 1000 min , b ) 1200 min , c ) 1300 min , d ) 1400 min , e ) 1600 min", - "Correct": "a", - "Explanation": "volume of pool = 50 * 150 * 10 cu . ft , 80 % full = 50 * 150 * 10 * 0.8 cu . ft water is available to drain . draining capacity = 60 cu . ft / min therefore time taken = 50 * 150 * 10 * 0.8 / 60 min = 1000 min a" - }, - { - "Answer": 150, - "Options": "a ) 150 % , b ) 120 % , c ) 130 % , d ) 200 % , e ) none of these", - "Correct": "a", - "Explanation": "\"explanation : let the s . p = 100 then c . p . = 40 profit = 60 profit % = ( 60 / 40 ) * 100 = 150 % . answer : a\"" - }, - { - "Answer": 19.66850828729282, - "Options": "a ) 6 % . , b ) 7.5 % . , c ) 19.6 % . , d ) 10.5 % . , e ) 11 % .", - "Correct": "c", - "Explanation": "\"denominator : 340 + 12 + 3.2 + 6.8 = 362 numerator : 340 ( 1 - . 75 - . 05 ) + 3.2 340 ( 0.2 ) + 3.2 68 + 3.2 71.2 ratio : 71.2 / 362 = 0.196 answer : c\"" - }, - { - "Answer": 5.263157894736835, - "Options": "a ) 22 % , b ) 25 % , c ) 77 % , d ) 5.26 % , e ) 12 %", - "Correct": "d", - "Explanation": "950 - - - 50 100 - - - ? = > 5.26 % answer : d" - }, - { - "Answer": 4, - "Options": "a ) 3.6 , b ) 6 , c ) 4 , d ) can not be determined , e ) none of these", - "Correct": "c", - "Explanation": "\"let rate = r % and time = r years . then , 1200 x r x r / 100 = 192 12 r 2 = 192 r 2 = 16 r = 4 . answer : c\"" - }, - { - "Answer": 11500, - "Options": "a ) $ 12700 , b ) $ 13000 , c ) $ 23000 , d ) $ 11500 , e ) $ 33000", - "Correct": "d", - "Explanation": "let the lowest yield be x . therefore , highest yield is x + 10000 . now yield of each mutual fund investment is improved by 10 % . therefore the yields will remain arranged in the same order as before . or lowest yield = 1.15 x and highest = 1.15 * ( x + 10000 ) or range = highest - lowest = 1.15 * ( x + 10000 ) - 1.15 x = 11500 , hence , d" - }, - { - "Answer": 99.99999999999946, - "Options": "a ) 200 , b ) 278 , c ) 100 , d ) 202 , e ) 270", - "Correct": "c", - "Explanation": "profit on first article = 10 % of 1000 = 100 . this is equal to the loss he makes on the second article . that , is he makes neither profit nor loss . answer : c" - }, - { - "Answer": 250, - "Options": "a ) 2.5 % , b ) 15 % , c ) 25 % , d ) 35 % , e ) 250 %", - "Correct": "e", - "Explanation": "\"c is 25 % of a - - > c = a / 4 ; c is 10 % of b - - > c = b / 10 ; thus a / 4 = b / 10 - - > b = 5 / 2 * a = 2.5 a . therefore , b is 250 % of a . answer : e\"" - }, - { - "Answer": 0.5, - "Options": "a ) 3 / 4 , b ) 1 / 4 , c ) 3 / 4 , d ) 2 / 5 , e ) 1 / 2", - "Correct": "e", - "Explanation": "\"this is a weighted average question . say x % of the solution was replaced - - > equate the amount of chemicals : 0.5 ( 1 - x ) + 0.6 * x = 0.55 - - > x = 1 / 2 . answer : e .\"" - }, - { - "Answer": 680, - "Options": "a ) s . 1090 , b ) s . 1160 , c ) s . 680 , d ) s . 520 , e ) s . 700", - "Correct": "c", - "Explanation": "\"s . p . = 85 % of rs . 800 = rs . 85 / 100 x 800 = rs . 680 answer : c\"" - }, - { - "Answer": 62.5, - "Options": "a ) 62.5 , b ) 62.8 , c ) 62.1 , d ) 62.9 , e ) 32.5", - "Correct": "a", - "Explanation": "\"explanation : cp = 47.50 sp = 47.50 * ( 125 / 100 ) = 59.375 mp * ( 95 / 100 ) = 59.375 mp = 62.5 answer : a\"" - }, - { - "Answer": 54.78350515463918, - "Options": "a ) 40 % , b ) 55 % , c ) 54.8 % , d ) 60 % , e ) 62 %", - "Correct": "c", - "Explanation": "\"total number of votes polled = ( 1136 + 7636 + 10628 ) = 19400 so , required percentage = 10628 / 19400 * 100 = 54.8 % c\"" - }, - { - "Answer": 562.5354330708661, - "Options": "a ) 643 , b ) 652 , c ) 562 , d ) 578 , e ) 693", - "Correct": "c", - "Explanation": "\"= 567 / 1.27 \u2217 1.26 = 562 = 562 answer is c\"" - }, - { - "Answer": 2.0000000000002274, - "Options": "a ) 5 , b ) 2 , c ) 9 , d ) 5 , e ) 1", - "Correct": "b", - "Explanation": "\"1250 = d ( 100 / 4 ) 2 d = 2 answer : b\"" - }, - { - "Answer": 9.15, - "Options": "a ) 9.2 , b ) 10.5 , c ) 11.5 , d ) 12.3 , e ) 15", - "Correct": "a", - "Explanation": "15 % of 25 + 12 % of 45 25 * 15 / 100 + 45 * 12 / 100 3.8 + 5.4 = 9.2 answer a" - }, - { - "Answer": 1235, - "Options": "a ) a ) 1040 , b ) b ) 1045 , c ) c ) 1055 , d ) d ) 1060 , e ) e ) 1235", - "Correct": "e", - "Explanation": "cost of 8 kg apples = 70 \u00d7 8 = 560 . cost of 9 kg of mangoes = 75 \u00d7 9 = 675 . total cost he has to pay = 560 + 675 = 1235 . e )" - }, - { - "Answer": 30800, - "Options": "a ) $ 28,300 , b ) $ 30,800 , c ) $ 31,300 , d ) $ 32,500 , e ) $ 35,100", - "Correct": "b", - "Explanation": "\"let the principal amount = p simple annual interest = 9 % simple monthly interest = ( 9 / 12 ) = ( 3 / 4 ) % ( 3 / 4 ) * ( p / 100 ) = 230 = > p = ( 231 * 4 * 10 ^ 2 ) / 3 = 77 * 4 * 10 ^ 2 = 308 * 10 ^ 2 = 30800 answer b\"" - }, - { - "Answer": 7260.000000000001, - "Options": "a ) $ 6980 , b ) $ 7070 , c ) $ 7120 , d ) $ 7260 , e ) $ 7340", - "Correct": "d", - "Explanation": "a = ( 1 + r / 100 ) ^ n * p ( 1.1 ) ^ 2 * 6000 = 1.21 * 6000 = 7260 the answer is d ." - }, - { - "Answer": 24.82608695652174, - "Options": "a ) 7.6 % , b ) 7.7 % , c ) 24.82 % , d ) 13.6 % , e ) 27.82 %", - "Correct": "c", - "Explanation": "\"explanation : let marked price be re . 1 each c . p . of 58 pens = rs . 46 s . p . of 58 pens = 99 % of rs . 58 = rs . 57.42 profit % = ( profit / c . p . ) x 100 profit % = ( 11.42 / 46 ) x 100 = 24.82 % answer : c\"" - }, - { - "Answer": 171, - "Options": "a ) 187 , b ) 169 , c ) 172 , d ) 178 , e ) 171", - "Correct": "e", - "Explanation": "\"200 * ( 90 / 100 ) * ( 95 / 100 ) = 171 answer : e\"" - }, - { - "Answer": 720, - "Options": "a ) 715 , b ) 716 , c ) 718 , d ) 720 , e ) 722", - "Correct": "d", - "Explanation": "sum = ( b . d * t . d ) / ( b . d - t . d ) ( 144 * 120 ) / 144 - 120 ; 720 answer : d" - }, - { - "Answer": 8, - "Options": "a ) 4 , b ) 6 , c ) 8 , d ) 10 , e ) 12", - "Correct": "c", - "Explanation": "\"let 0.75 % of x = 0.06 . then , 0.75 * x / 100 = 0.06 x = [ ( 0.06 * 100 ) / 0.75 ] = 8 . answer is c .\"" - }, - { - "Answer": 5000, - "Options": "a ) 2277 , b ) 5000 , c ) 1000 , d ) 2651 , e ) 1971", - "Correct": "b", - "Explanation": "\"x * ( 110 / 100 ) * ( 95 / 100 ) = 5225 x * ( 11 / 10 ) * ( 1 / 100 ) = 55 x = 5000 answer : b\"" - }, - { - "Answer": 10.125, - "Options": "a ) $ 16.32 , b ) $ 18.00 , c ) $ 10.125 , d ) $ 24.48 , e ) $ 28.80", - "Correct": "c", - "Explanation": "the discounted price of one can of soda is ( 0.9 ) ( $ 0.15 ) , or $ 0.135 therefore , the price of 75 cans of soda at the discounted price would be ( 75 ) ( $ 0.135 ) = 10.125 answer : c ." - }, - { - "Answer": 36, - "Options": "a ) 28 % , b ) 30 % , c ) 36 % , d ) 36 % , e ) 40 %", - "Correct": "d", - "Explanation": "\"1 . 30 % of 400 = 120 pounds of decaffeinated coffee 2 . 60 % of 100 = 60 pounds of decaffeinated coffee 3 . wt have 180 pounds of decaffeinated out of 500 pounds , that means 180 / 500 * 100 % = 36 % . the correct answer is d .\"" - }, - { - "Answer": 800, - "Options": "a ) 500 , b ) 800 , c ) 600 , d ) 700 , e ) 750", - "Correct": "b", - "Explanation": "\"sp * ( 70 / 100 ) = 560 sp = 8 * 100 = > cp = 800 answer : b\"" - }, - { - "Answer": 75, - "Options": "a ) 66 % , b ) 75 % , c ) 86 % , d ) 116 % , e ) 150 %", - "Correct": "b", - "Explanation": "\"let the price of company a ' s assets be 100 price of assets of kw is 20 % more than company a ' s assets which is 120 price of assets of kw is 100 % more than company b ' s assets which means price of company b ' s assets is half the price of kw = 60 a + b = 160 kw = 120 kw / ( a + b ) * 100 = 120 / 160 * 100 = 75 % b\"" - }, - { - "Answer": 15, - "Options": "a ) 3 , b ) 6 , c ) 15 , d ) 17 , e ) 20", - "Correct": "c", - "Explanation": "\"number of apples = 14 number of oranges = 23 let number of oranges that must be removed so that 60 % of pieces of fruit in bowl will be apples = x total number of fruits after x oranges are removed = 12 + ( 23 - x ) = 35 - x 12 / ( 35 - x ) = 6 / 10 = > 20 = 35 - x = > x = 15 answer c\"" - }, - { - "Answer": 6.25, - "Options": "a ) 3.25 % increase , b ) 3.25 % decrease , c ) 6.25 % increase , d ) 6.25 % decrease , e ) no change", - "Correct": "d", - "Explanation": "\"let x be the original salary . the final salary is 0.75 ( 1.25 x ) = 0.9375 x the answer is d .\"" - }, - { - "Answer": 20.833333333333336, - "Options": "a ) 20.83 % , b ) 23 % , c ) 18.3 % , d ) 19.75 % , e ) 21.23 %", - "Correct": "a", - "Explanation": "alcohol in the 15 litres of mix . = 25 % of 15 litres = ( 25 * 15 / 100 ) = 3.75 litres water in it = 15 - 3.75 = 11.25 litres new quantity of mix . = 15 + 3 = 18 litres quantity of alcohol in it = 3.75 litres percentage of alcohol in new mix . = 3.75 * 100 / 18 = 20.83 % answer is a" - }, - { - "Answer": 1052, - "Options": "a ) rs . 1020.80 , b ) rs . 1025 , c ) rs . 1052 , d ) data inadequate , e ) none of these", - "Correct": "c", - "Explanation": "\"solution s . i . = rs . ( 956 - 800 ) = rs . 156 rate = ( 100 x 156 / 800 x 3 ) = 6 1 / 2 % new rate = ( 6 1 / 2 + 4 ) % = 10 1 / 2 % new s . i . = rs . ( 800 x 21 / 2 x 3 / 100 ) rs . 252 . \u2234 new amount = rs . ( 800 + 252 ) = rs . 1052 . answer c\"" - }, - { - "Answer": 38, - "Options": "a ) 17.5 % , b ) 24 % , c ) 30 % , d ) 35 % , e ) 38 %", - "Correct": "e", - "Explanation": "\"suppose enrollment in 1991 was 100 then enrollment in 1992 will be 120 and enrollment in 1993 will be 120 * 1.15 = 138 increase in 1993 from 1991 = 138 - 100 = 38 answer : e\"" - }, - { - "Answer": 8130, - "Options": "a ) 9680 , b ) 8130 , c ) 8134 , d ) 8556 , e ) 9808", - "Correct": "b", - "Explanation": "\"( 6200 * 5 * 3 ) / 100 = 930 7200 - - - - - - - - 8130 answer : b\"" - }, - { - "Answer": 728.0000000000001, - "Options": "a ) 708 , b ) 718 , c ) 738 , d ) 748 , e ) 728", - "Correct": "e", - "Explanation": "\"market value of a share = rs . 9.50 investment = rs . 4940 number of shares = 4940 / 9.50 = 520 face value of a share = rs . 10 dividend = 14 % dividend per share = ( 10 \u00d7 14 ) / 100 = rs . 1.4 his annual income = 520 \u00d7 1.4 = rs . 728 answer is e .\"" - }, - { - "Answer": 15000, - "Options": "a ) 20000 , b ) 15000 , c ) 25000 , d ) 34000 , e ) 30000", - "Correct": "b", - "Explanation": "\"sol = ~ s - so anju \u2019 s share = [ 5 / 9 ] x 27000 = 15000 b\"" - }, - { - "Answer": 35, - "Options": "a ) 22 , b ) 28 , c ) 99 , d ) 35 , e ) 66", - "Correct": "d", - "Explanation": "\"speed ratio = 1 : 7 / 6 = 6 : 7 time ratio = 7 : 6 1 - - - - - - - - 7 5 - - - - - - - - - ? = 35 m answer : d\"" - }, - { - "Answer": 1344, - "Options": "a ) 776 , b ) 1344 , c ) 299 , d ) 257 , e ) 125", - "Correct": "b", - "Explanation": "\"w = 56 % l = 44 % 56 % - 44 % = 12 % 12 % - - - - - - - - 288 56 % - - - - - - - - ? = > 1344 answer : b\"" - }, - { - "Answer": 15, - "Options": "a ) 15 , b ) 20 , c ) 30 , d ) 35 , e ) 45", - "Correct": "a", - "Explanation": "\"s = 100 not ( e and b ) = 35 only e = 20 ( e and b ) / b = 1 / 2 let ( e and b ) = x only b = 2 x so now , 20 + 35 + x + 2 x = 100 x = 15 a ans\"" - }, - { - "Answer": 64, - "Options": "a ) 40 , b ) 60 , c ) 64 , d ) 72 , e ) none", - "Correct": "c", - "Explanation": "solution area of the sheet = ( 20 x 30 ) cm \u00b2 = 600 cm \u00b2 area used for typing = [ ( 20 - 4 ) x ( 30 - 6 ) ] cm \u00b2 = 384 cm \u00b2 required percentage = ( 384 / 600 x 100 ) % = 64 % . answer c" - }, - { - "Answer": 5, - "Options": "a ) 20 seconds , b ) 3 , c ) 4 , d ) 1 , e ) 5", - "Correct": "e", - "Explanation": "swim in still water at = 3 speed of river = 1.4 us = 3 - 1.4 = 1.6 distance = 8 t = 8 / 1.6 = 5 answer : e" - }, - { - "Answer": 1610, - "Options": "a ) s . 1690 , b ) s . 1610 , c ) s . 1890 , d ) s . 1602 , e ) s . 1092", - "Correct": "b", - "Explanation": "\"s . p . = 70 % of rs . 2300 = rs . 70 x 2300 / 100 = rs . 1610 answer : option b\"" - }, - { - "Answer": 169.4915254237288, - "Options": "a ) 169.49 , b ) 30 , c ) 120.32 , d ) 125.32 , e ) 15.152", - "Correct": "a", - "Explanation": "\"answer let one - third of 1200 is n % of 236 . \u2235 1200 / 3 = ( n x 236 ) / 100 \u2234 n = ( 400 x 100 ) / 236 = 169.49 correct option : a\"" - }, - { - "Answer": 19200, - "Options": "a ) 4300 , b ) 19200 , c ) 5120 , d ) 5230 , e ) 5366", - "Correct": "b", - "Explanation": "\"30000 \u00d7 80 / 100 \u00d7 80 / 100 = 19200 answer ; b\"" - }, - { - "Answer": 15.999999999999993, - "Options": "a ) a ) 10 % , b ) b ) 12 % , c ) c ) 16 % , d ) d ) 20 % , e ) e ) 22 %", - "Correct": "c", - "Explanation": "\"original price = 100 cp = 80 s = 80 * ( 145 / 100 ) = 116 100 - 116 = 16 % c )\"" - }, - { - "Answer": 12.280000000000001, - "Options": "a ) 13 % , b ) 9.22 % , c ) 9 % , d ) 14 % , e ) 12.28 %", - "Correct": "e", - "Explanation": "\"( 100 % - 14 % ) * ( 100 % + 2 % ) = 0.86 * 1.02 = 12.28 % the weigh in records your weight loss at 12.28 % ! the answer is e\"" - }, - { - "Answer": 10, - "Options": "a ) 5 sec , b ) 10 sec , c ) 20 sec , d ) 15 sec , e ) 25 sec", - "Correct": "b", - "Explanation": "\"explanation : time taken to cover the entire length = tot . dist / resultant speed = 200 / ( 15 + 5 ) = 10 sec answer : b\"" - }, - { - "Answer": 15, - "Options": "a ) 15 sec , b ) 10 sec , c ) 12 sec , d ) 8 sec , e ) 9 sec", - "Correct": "a", - "Explanation": "\"time taken to cover the entire length = tot . dist / resultant speed = 210 / ( 12 + 2 ) = 15 sec answer : a\"" - }, - { - "Answer": 8999.999999999993, - "Options": "a ) 2277 , b ) 2667 , c ) 9000 , d ) 2766 , e ) 1811", - "Correct": "c", - "Explanation": "\"p = 360 ( 100 / 5 ) ^ 2 = > p = 9000 answer : c\"" - }, - { - "Answer": 6, - "Options": "a ) 5 % , b ) 6 % , c ) 7 % , d ) 8 % , e ) 9 %", - "Correct": "b", - "Explanation": "\"$ 36 is the interest on the first year of interest . let x be the interest rate . the interest after the first year is 10000 * x . the interest on the first year ' s interest is 10000 * x * x 10000 * x ^ 2 = 36 x = 0.06 the answer is b .\"" - }, - { - "Answer": 30000, - "Options": "a ) 23000 , b ) 22000 , c ) 20000 , d ) 25000 , e ) 30000", - "Correct": "e", - "Explanation": "\"winner - looser 55 % - 45 % if 3000 people change their mind and vote for the loser : winner - looser 45 % - 55 % thus 3,000 people compose 10 % of all voters , which means that the total number of votes is 30,000 . answer : e .\"" - }, - { - "Answer": 999.9999999999999, - "Options": "a ) 500 , b ) 750 , c ) 1000 , d ) 1250 , e ) 1500", - "Correct": "c", - "Explanation": "\"difference in s . i . = p \u00d7 t / 100 ( r 1 \u2212 r 2 ) \u21d2 140 = p \u00d7 7 x 2 / 100 ( \u2235 r 1 - r 2 = 2 ) \u21d2 p = 140 \u00d7 100 / 7 \u00d7 2 = 1000 answer c\"" - }, - { - "Answer": 6, - "Options": "a ) 1 kmph , b ) 3 kmph , c ) 6 kmph , d ) 7 kmph , e ) 5 kmph", - "Correct": "c", - "Explanation": "\"ds = 16 us = 4 s = ? s = ( 16 - 4 ) / 2 = 6 kmph answer : c\"" - }, - { - "Answer": 4500, - "Options": "a ) $ 1000 , b ) $ 1250 , c ) $ 2500 , d ) $ 4500 , e ) $ 5200", - "Correct": "d", - "Explanation": "\"let a ' s salary is x b ' s salary = 6000 - x ( 100 - 95 ) % of x = ( 100 - 85 ) % of ( 6000 - x ) x = $ 4500 answer is d\"" - }, - { - "Answer": 106.00000000000003, - "Options": "a ) 160 , b ) 150 , c ) 100 , d ) 80 , e ) 106", - "Correct": "e", - "Explanation": "say there are a gallons of fuel a in the tank , then there would be 214 - a gallons of fuel b . the amount of ethanol in a gallons of fuel a is 0.12 a ; the amount of ethanol in 214 - a gallons of fuel b is 0.16 ( 214 - a ) ; since the total amount of ethanol is 30 gallons then 0.12 a + 0.16 ( 214 - a ) = 30 - - > a = 106 . answer : e ." - }, - { - "Answer": 58, - "Options": "a ) 44 , b ) 48 , c ) 50 , d ) 52 , e ) 58", - "Correct": "e", - "Explanation": "number of passengers on flight = 120 number of female passengers = . 5 * 120 = 66 number of passengers in first class = ( 10 / 100 ) * 120 = 12 number of passengers in coach class = ( 90 / 100 ) * 120 = 108 number of male passengers in first class = 1 / 3 * 12 = 4 number of female passengers in first class = 12 - 4 = 8 number of female passengers in coach class = 66 - 8 = 58 answer e" - }, - { - "Answer": 92000, - "Options": "a ) 70000 , b ) 60000 , c ) 80000 , d ) 92000 , e ) 50000", - "Correct": "d", - "Explanation": "\"a : b : c = 24000 : 32000 : 36000 = 6 : 8 : 9 let total profit = p then p \u00e3 \u2014 9 / 23 = 36000 p = ( 36000 \u00e3 \u2014 23 ) / 9 = 92000 answer is d .\"" - }, - { - "Answer": 272, - "Options": "a ) 297 , b ) 272 , c ) 342 , d ) 762 , e ) 269", - "Correct": "b", - "Explanation": "\"400 * ( 80 / 100 ) * ( 85 / 100 ) = 272 answer : b\"" - }, - { - "Answer": 40, - "Options": "a ) 40 , b ) 60 , c ) 70 , d ) 80 , e ) 20", - "Correct": "a", - "Explanation": "\"a 800 * ( 25 / 100 ) = 200 - - - - 5 ? - - - - 1 = > rs . 40\"" - }, - { - "Answer": 25, - "Options": "a ) 20 % , b ) 30 % , c ) 25 % , d ) 37.5 % , e ) 38 %", - "Correct": "c", - "Explanation": "let c . p . of each table = re . 1 c . p . of 20 tables = rs . 20 s . p . of 20 table = c . p . of 15 tables = rs . 15 loss = ( 5 / 20 ) x 100 % = 25 % answer : c" - }, - { - "Answer": 5565, - "Options": "a ) 3377 , b ) 2678 , c ) 5565 , d ) 1976 , e ) 1671", - "Correct": "c", - "Explanation": "\"5000 * 105 / 100 * 106 / 100 = > 5565 answer : c\"" - }, - { - "Answer": 35, - "Options": "a ) 20 % , b ) 25 % , c ) 33.33 % , d ) 35 % , e ) none of these", - "Correct": "d", - "Explanation": "explanation : when the water is freely available and all the water is sold at the price of the milk , then the water gives the profit on the cost of 30 liters of milk . therefore , profit percentage = 35 % . answer : d" - }, - { - "Answer": 1500, - "Options": "a ) 1000 , b ) 1500 , c ) 2778 , d ) 2788 , e ) 2991", - "Correct": "b", - "Explanation": "\"90 % 105 % - - - - - - - - 15 % - - - - 225 100 % - - - - ? = > rs . 1500 answer : b\"" - }, - { - "Answer": 1800, - "Options": "a ) 1500 , b ) 1600 , c ) 1700 , d ) 1800 , e ) 1900", - "Correct": "d", - "Explanation": "\"let d be the race distance that p ran . let t be the time it took to complete the race . let v be q ' s speed . t = d / 1.2 v = ( d - 300 ) / v d = 1.2 d - 360 0.2 d = 360 d = 1800 meters . the answer is d .\"" - }, - { - "Answer": 1200, - "Options": "a ) a ) 800 , b ) b ) 900 , c ) c ) 1000 , d ) d ) 1100 , e ) e ) 1200", - "Correct": "e", - "Explanation": "\"explanation : formula : ( after = 100 denominator ago = 100 numerator ) 1950 * 100 / 125 * 100 / 130 = 1200 answer : option e\"" - }, - { - "Answer": 35.00000000000001, - "Options": "a ) 26 , b ) 37.5 , c ) 35 , d ) 44 , e ) 50", - "Correct": "c", - "Explanation": "\"answer : c = 35 . assume rs . 100 to be the price at which the retailer buys from wholesaler . 80 % increase makes retail price = 180 . now 25 % decrease - > ( 1 - 25 / 100 ) * 180 = 135 . now compared to the wholesale price of 100 , 35 % increase is what will have the same effect as increasing the wholesale price .\"" - }, - { - "Answer": 25, - "Options": "a ) 10 % , b ) 50 % , c ) 25 % , d ) 52 % , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : cost price = ( 225 + 15 ) = 240 sell price = 300 gain = ( 60 / 240 ) * 100 = 25 % . answer : c\"" - }, - { - "Answer": 0.625, - "Options": "a ) 2 kg , b ) 2.4 kg , c ) 2.5 kg , d ) 10 kg , e ) 0.625", - "Correct": "e", - "Explanation": "\"the weight of non - water in 5 kg of fresh grapes ( which is 100 - 90 = 10 % of whole weight ) will be the same as the weight of non - water in x kg of dried grapes ( which is 100 - 20 = 80 % of whole weight ) , so 5 \u00e2 \u02c6 \u2014 0.1 = x \u00e2 \u02c6 \u2014 0.8 - - > x = 0.625 answer : e .\"" - }, - { - "Answer": 8, - "Options": "a ) 6 % , b ) 8 % , c ) 9 % , d ) 10 % , e ) none", - "Correct": "b", - "Explanation": "\"solution s . i . = rs . 840 , r = 5 % , t = 8 years . principal = rs . ( 800 x 840 / 5 x 8 ) = rs . 2100 . now , p = rs . 2100 , s . i . = rs . 840 , t = 5 years . \u2234 rate = ( 100 x 840 / 2100 x 5 ) = 8 % . answer b\"" - }, - { - "Answer": 8.333333333333334, - "Options": "a ) 8.33 % , b ) 6 % , c ) 2 % , d ) 95 % , e ) 1 %", - "Correct": "a", - "Explanation": "\"interest for 4 yrs = 400 interest for 1 yr = 100 interest rate = 100 / 1200 x 100 = 8.33 % answer : a\"" - }, - { - "Answer": 6.4, - "Options": "a ) 6 % , b ) 6.1 % , c ) 6.2 % , d ) 6.3 % , e ) 6.4 %", - "Correct": "e", - "Explanation": "income from $ 4000 at 5 % in one year = $ 4000 of 5 % . = $ 4000 \u00d7 5 / 100 . = $ 4000 \u00d7 0.05 . = $ 200 . income from $ 3500 at 4 % in one year = $ 3500 of 4 % . = $ 3500 \u00d7 4 / 100 . = $ 3500 \u00d7 0.04 . = $ 140 . total income from 4000 at 5 % and 3500 at 4 % = $ 200 + $ 140 = $ 340 . remaining income amount in order to have a yearly income of $ 500 = $ 500 - $ 340 . = $ 160 . total invested amount = $ 4000 + $ 3500 = $ 7500 . remaining invest amount = $ 10000 - $ 7500 = $ 2500 . we know that , interest = principal \u00d7 rate \u00d7 time interest = $ 160 , principal = $ 2500 , rate = r [ we need to find the value of r ] , time = 1 year . 160 = 2500 \u00d7 r \u00d7 1 . 160 = 2500 r 160 / 2500 = 2500 r / 2500 [ divide both sides by 2500 ] 0.064 = r r = 0.064 change it to a percent by moving the decimal to the right two places r = 6.4 % therefore , he invested the remaining amount $ 2500 at 6.4 % in order to get $ 500 income every year . the answer is ( e )" - }, - { - "Answer": 340, - "Options": "a ) rs . 340 , b ) rs . 840 , c ) rs . 1020 , d ) rs . 760 , e ) none", - "Correct": "a", - "Explanation": "\"solution t . d = ( b . g x 100 / r x t ) = rs . ( 90 x 100 / 12 x 3 ) = rs . 250 . b . d = rs ( 250 + 90 ) = rs . 340 . answer a\"" - }, - { - "Answer": 29.000000000000004, - "Options": "a ) 29 % , b ) 34 % , c ) 35 % , d ) 36 % , e ) 37 %", - "Correct": "a", - "Explanation": "\"total men in company 55 % means total women in company 45 % ( assume total people in company 100 % ) no of men employees attended picnic = 55 x ( 20 / 100 ) = 11 no of women employees attend picnic = 45 x ( 40 / 100 ) = 18 total percentage of employees attend the picnic = 11 + 18 = 29 % answer : a\"" - }, - { - "Answer": 96.97222222222223, - "Options": "a ) 96.97 , b ) 114 , c ) 114.75 , d ) 124 , e ) 124.75", - "Correct": "a", - "Explanation": "\"face value = rs . 7000 . dividend = 10.5 % . annual income = rs . 756 . brokerage per rs . 100 = rs . 0.25 . dividend is always paid on the face value of a share . face value * dividend / ( market value + brokerage per rs . 100 ) = annual income . = 7000 * 10.5 / 756 = market value of rs . 100 stock + brokerage per rs . 100 . = market value of rs . 100 stock + brokerage per rs . 100 = rs . 97.22 . = market value of rs . 100 stock = rs . 97.22 - re . 0.25 . = market value of rs . 100 stock = rs . 96.97 answer : a\"" - }, - { - "Answer": 75, - "Options": "a ) 16 % , b ) 75 % , c ) 32 % , d ) 40 % , e ) 52 %", - "Correct": "b", - "Explanation": "\"total employed people 60 % , out of which 15 are employed males , hence 45 % are employed females . ( employed females ) / ( total employed people ) = 45 / 60 = 3 / 4 = 75 % answer : b .\"" - }, - { - "Answer": 75, - "Options": "a ) 62.5 , b ) 69.5 , c ) 62.3 , d ) 62.1 , e ) 75", - "Correct": "e", - "Explanation": "\"cp = 57 sp = 57 * ( 125 / 100 ) = 71.25 mp * ( 95 / 100 ) = 71.25 mp = 75 answer : e\"" - }, - { - "Answer": 6, - "Options": "a ) 1 kmph , b ) 2 kmph , c ) 6 kmph , d ) 8 kmph , e ) 3 kmph", - "Correct": "c", - "Explanation": "\"ds = 25 us = 13 s = ? s = ( 25 - 13 ) / 2 = 6 kmph answer : c\"" - }, - { - "Answer": 95.2, - "Options": "a ) 96.9 , b ) 96.3 , c ) 95.2 , d ) 96.7 , e ) 96.21", - "Correct": "c", - "Explanation": "\"explanation : use the formula , cp = 100 \u00e2 \u20ac \u201c discount + brokerage % cp = 100 - 5 + 1 / 5 95.2 thus the cp is rs 95.2 . answer : c\"" - }, - { - "Answer": 50, - "Options": "a ) 15 % , b ) 16.66 % , c ) 50 % , d ) 19 % , e ) 21 %", - "Correct": "c", - "Explanation": "\"increase = ( 25 / 50 ) * 100 = ( 1 / 2 ) * 100 = 50 % . c\"" - }, - { - "Answer": 12.881355932203391, - "Options": "a ) 12 , b ) 14 , c ) 45 , d ) 13 , e ) 65", - "Correct": "d", - "Explanation": "d 95 % - - - 16 118 % - - - ? 95 / 118 * 16 = 13" - }, - { - "Answer": 3780, - "Options": "a ) 3630 , b ) 3637 , c ) 3630 , d ) 3631 , e ) 3780", - "Correct": "e", - "Explanation": "\"6300 : 4200 : 10500 3 : 2 : 5 3 / 10 * 12600 = 3780 answer : e\"" - }, - { - "Answer": 21, - "Options": "a ) 150 , b ) 108 , c ) 42 , d ) 21 , e ) - 21", - "Correct": "d", - "Explanation": "oa is d . 100 = a + b + c - ab - ac - bc + abc , which is the same as the following formula 100 = a + b + c + ( - ab - ac - bc + abc + abc + abc ) - 2 abc . the term between parantheses value 18 % so the equation to resolve is 100 = 35 + 40 + 50 - 18 - 2 abc therefore the value of abc is 3.5 % of 600 , c is 21 . d is the correct answer" - }, - { - "Answer": 1800, - "Options": "a ) 600 , b ) 720 , c ) 1080 , d ) 1200 , e ) 1800", - "Correct": "e", - "Explanation": "\"$ 120 for 2 years = $ 60 per year . extra $ 4 yearned with the compound interest is the percent yearned on percent . so , $ 4 is yearned on $ 60 , which means that the interest = 15 % . this on the other hand means that half of the savings = 60 * 15 = $ 900 . twice of that = $ 1,800 . answer : e .\"" - }, - { - "Answer": 5461.038961038961, - "Options": "a ) s . 5266 , b ) s . 5269 , c ) s . 5461 , d ) s . 5218 , e ) s . 52192", - "Correct": "c", - "Explanation": "explanation : let us assume mr . karan borrowed amount is rs . a . ( the principal ) by formula of simple interest , s . i . = prt / 100 where p = the principal , r = rate of interest as a % , t = time in years s . i . = ( p * 6 * 9 ) / 100 = 54 p / 100 amount = principal + s . i . 8410 = p + ( 54 p / 100 ) 8410 = ( 100 p + 54 p ) / 100 8410 = 154 p / 100 p = ( 8410 * 100 ) / 154 = rs . 5461.039 answer : c" - }, - { - "Answer": 8.7, - "Options": "a ) 6.25 , b ) 8.28 , c ) 6.11 , d ) 8.7 , e ) 8.11", - "Correct": "d", - "Explanation": "\"required run rate = [ 282 - ( 2.1 * 10 ) ] / 30 = 261 / 30 = 8.70 answer : d\"" - }, - { - "Answer": 11.086956521739129, - "Options": "a ) 8 , b ) 9 , c ) 11 , d ) 89 , e ) 81", - "Correct": "c", - "Explanation": "\"85 % - - - 15 115 % - - - ? 15 / 115 * 15 = 11 answer : c\"" - }, - { - "Answer": 8160, - "Options": "a ) 1978 , b ) 2707 , c ) 7728 , d ) 8160 , e ) 7291", - "Correct": "d", - "Explanation": "\"5000 : 1000 = > 5 : 1 9600 * 10 / 100 = 960 9600 - 960 = 8640 8640 * 5 / 6 = 7200 + 960 = 8160 answer : d\"" - }, - { - "Answer": 12, - "Options": "a ) 12 , b ) 14 , c ) 16 , d ) 17 , e ) 18", - "Correct": "a", - "Explanation": "\"( 90 / 100 ) * 40 \u2013 ( 80 / 100 ) * 30 36 - 24 = 12 answer : a\"" - }, - { - "Answer": 19828.79999999999, - "Options": "a ) 19828.29 , b ) 19828.2 , c ) 19828.8 , d ) 19828.88 , e ) 19828.21", - "Correct": "c", - "Explanation": "\"let the sum be rs . p p { [ 1 + 8 / 100 ] 2 - 1 } = 2828.80 p ( 8 / 100 ) ( 2 + 8 / 100 ) = 2828.80 [ a 2 - b 2 = ( a - b ) ( a + b ) ] p = 2828.80 / ( 0.08 ) ( 2.08 ) = 1360 / 0.08 = 17000 principal + interest = rs . 19828.80 answer : c\"" - }, - { - "Answer": 13846.153846153846, - "Options": "a ) rs . 1846 , b ) rs . 18846 , c ) rs . 13846 , d ) rs . 2000 , e ) rs . 14846", - "Correct": "c", - "Explanation": "\"principal = ( 100 * 5400 ) / ( 13 * 3 ) = rs . 13846 answer : c\"" - }, - { - "Answer": 4000, - "Options": "a ) rs . 4000 , b ) rs . 5000 , c ) rs . 4500 , d ) rs . 4800 , e ) rs . 5800", - "Correct": "a", - "Explanation": "ci = 4410 , r = 5 , n = 2 ci = p [ 1 + r / 100 ] ^ 2 = p [ 1 + 5 / 100 ] ^ 2 4410 = p [ 21 / 20 ] ^ 2 4410 [ 20 / 21 ] ^ 2 4000 answer : a" - }, - { - "Answer": 42.857142857142854, - "Options": "a ) 24 % , b ) 25 % , c ) 30 % , d ) 36 % , e ) 43 %", - "Correct": "e", - "Explanation": "\"255 / ( 850 - 255 ) = 255 / 595 = 51 / 119 = 43 % . answer : e .\"" - }, - { - "Answer": 125.99999999999999, - "Options": "a ) 80 , b ) 126 , c ) 95 , d ) 100 , e ) 108", - "Correct": "b", - "Explanation": "\"assume a value at the beginning of 2007 . as this is a % question , assume p = 100 . at the end of 2007 it becmae = 1.2 * 100 = 120 at the end of 2008 it decreased by 25 % = 120 * . 75 = 90 at the end of 2009 it increased by 40 % = 90 * 1.2 = 126 thus ratio = 126 / 100 = 1.26 ( in % terms = 126 % ) . thus b is the correct answer .\"" - }, - { - "Answer": 40, - "Options": "a ) 16 % , b ) 16.66 % , c ) 18 % , d ) 21 % , e ) 40 %", - "Correct": "e", - "Explanation": "\"increase = ( 20 / 50 ) * 100 = 40 % . e\"" - }, - { - "Answer": 32, - "Options": "a ) 20 % , b ) 25 % , c ) 13 1 / 30 % , d ) 32 % , e ) 13 %", - "Correct": "d", - "Explanation": "\"sp 2 = 2 / 3 sp 1 cp = 100 sp 2 = 88 2 / 3 sp 1 = 88 sp 1 = 132 100 - - - 32 = > 32 % answer : d\"" - }, - { - "Answer": 196, - "Options": "a ) 129 , b ) 287 , c ) 196 , d ) 188 , e ) 112", - "Correct": "c", - "Explanation": "\"explanation : cp per kg of mixture = [ 54 ( 150 ) + 36 ( 125 ) ] / ( 54 + 36 ) = rs . 140 sp = cp [ ( 100 + profit % ) / 100 ] = 140 * [ ( 100 + 40 ) / 100 ] = rs . 196 . answer : c\"" - }, - { - "Answer": 50, - "Options": "a ) 50 , b ) 150 , c ) 225 , d ) 112.5 , e ) 212.5", - "Correct": "a", - "Explanation": "\"explanation : the person borrows rs . 5000 for 2 years at 4 % p . a . simple interest simple interest that he needs to pay = prt / 100 = 5000 \u00d7 4 \u00d7 2 / 100 = 400 he also lends it at 5 % p . a for 2 years simple interest that he gets = prt / 100 = 5000 \u00d7 5 \u00d7 2 / 100 = 500 his overall gain in 2 years = rs . 500 - rs . 400 = rs . 100 his overall gain in 1 year = 100 / 2 = rs . 50 answer : option a\"" - }, - { - "Answer": 1, - "Options": "a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 1 , e ) 3", - "Correct": "d", - "Explanation": "\"concentration of salt in pure solution = 0 concentration of salt in salt solution = 30 % concentration of salt in the mixed solution = 15 % the pure solution and the salt solution is mixed in the ratio of - - > ( 30 - 15 ) / ( 15 - 0 ) = 1 / 1 1 / x = 1 / 1 x = 1 answer : d\"" - }, - { - "Answer": 6.25, - "Options": "a ) 6.25 , b ) 6.27 , c ) 6.23 , d ) 6.29 , e ) 6.39", - "Correct": "a", - "Explanation": "\"required run rate = [ 282 - ( 3.2 * 10 ) ] / 40 = 250 / 40 = 6.25 ' answer : a\"" - }, - { - "Answer": 208.33333333333334, - "Options": "a ) a ) 215 , b ) b ) 208 , c ) c ) 230 , d ) d ) 235 , e ) e ) 240", - "Correct": "b", - "Explanation": "\"sp = 120 % of cp ; : . cp = 250 \u00d7 100 / 120 = 208 option ' b '\"" - }, - { - "Answer": 50, - "Options": "a ) 70 minutes , b ) 72 minutes , c ) 50 minutes , d ) 66 minutes , e ) 67 minutes", - "Correct": "c", - "Explanation": "\"time taken to reach = 4000 / 80 = 50 minutes answer : c\"" - }, - { - "Answer": 408.00000000000006, - "Options": "a ) 320 , b ) 375.2 , c ) 400 , d ) 408 , e ) 440", - "Correct": "d", - "Explanation": "\"the question stem asks us for the distance possible with 10 gallons of fuel at a constant speed of 60 miles per hour . we therefore first calculate the fuel efficiency at that speed . the stem tells us that at 45 miles / hour , the car will run 51 miles / gallon and at 60 miles / hour , that distance decreases by 20 % . we can therefore conclude that the car will travel 40.8 miles / gallon at a constant speed of 60 miles / gallon . with 10 gallons of fuel , the car can therefore travel 40.8 miles / gallon * 10 gallons = 408 miles . answer d .\"" - }, - { - "Answer": 2.4712, - "Options": "a ) 0.247 , b ) 2.47 , c ) 24.7 , d ) 0.0247 , e ) 0.00247", - "Correct": "b", - "Explanation": "since , percent = 1 / 100 , what = something ( s ) , and is : = . we can write the question as s = 0.02 ( 1 / 100 ) 12,356 . the answer is 2.47 . hence , the correct answer is b ." - }, - { - "Answer": 28.999999999999996, - "Options": "a ) 29 % , b ) 31 % , c ) 33 % , d ) 35 % , e ) 37 %", - "Correct": "a", - "Explanation": "\"let x be mork ' s income , then mindy ' s income is 4 x . the total tax paid is 0.45 x + 1.0 x = 1.45 x 1.45 x / 5 x = 0.29 the answer is a .\"" - }, - { - "Answer": 8, - "Options": "a ) 5 % , b ) 6 % , c ) 7 % , d ) 8 % , e ) 9 %", - "Correct": "d", - "Explanation": "\"explanation : let rate = r % then time = r years . = > 1100 \u2217 r \u2217 r / 100 = 704 = > r 2 = 64 = > r = 8 % option d\"" - }, - { - "Answer": 75, - "Options": "a ) 65 % , b ) 70 % , c ) 75 % , d ) 80 % , e ) 85 %", - "Correct": "c", - "Explanation": "\"the percent of employees who are unionized and men is 0.7 * 0.6 = 42 % the percent of employees who are unionized and women is 60 - 42 = 18 % 48 % of all employees are women , so non - union women are 48 % - 18 % = 30 % 40 % of all employees are non - union . the percent of non - union employees who are women is 30 % / 40 % = 75 % the answer is c .\"" - }, - { - "Answer": 120, - "Options": "a ) 120 , b ) 100 , c ) 75 , d ) 90 , e ) none of these", - "Correct": "a", - "Explanation": "let the number be x . then 50 % of 3 / 5 of x = 36 50 / 100 * 3 / 5 * x = 36 x = ( 36 * 10 / 3 ) = 120 required number = 120 . correct option : a" - }, - { - "Answer": 222, - "Options": "a ) rs 222 , b ) rs 216 , c ) rs 220 , d ) rs 210 , e ) rs 217", - "Correct": "a", - "Explanation": "explanation : total cost of a watch = 180 + ( 500 / 100 ) = 185 . gain = 20 % = > sp = 1.2 cp = 1.2 x 185 = 222 answer : a" - }, - { - "Answer": 64, - "Options": "a ) 72 % , b ) 70 % , c ) 52 % , d ) 64 % , e ) 28 %", - "Correct": "d", - "Explanation": "\"just assume original price is 100 . sale price = 80 then it is marked down by 20 % = 80 - 16 = 64 . hence it is 64 % od the original price . hence answer is d .\"" - }, - { - "Answer": 840.0000000000001, - "Options": "a ) rs . 500 , b ) rs . 840 , c ) rs . 650 , d ) rs . 720 , e ) none", - "Correct": "b", - "Explanation": "solution number of shares = ( 14400 / 120 ) = 120 . face value = rs . ( 100 x 120 ) = rs . 12000 . annual income = rs . ( 7 / 100 x 12000 ) = rs . 840 . answer b" - }, - { - "Answer": 35, - "Options": "a ) 35 , b ) 40 , c ) 50 , d ) 60 , e ) 65", - "Correct": "a", - "Explanation": "a hostel had provisions for 250 men for 28 days if 50 men leaves the hostel , remaining men = 250 - 50 = 200 we need to find out how long the food will last for these 200 men . let the required number of days = x days more men , less days ( indirect proportion ) ( men ) 250 : 200 : : x : 28 250 \u00d7 28 = 200 x 5 \u00d7 28 = 4 x x = 5 \u00d7 7 = 35 answer a" - }, - { - "Answer": 1000, - "Options": "a ) 600 , b ) 720 , c ) 1000 , d ) 1200 , e ) 1440", - "Correct": "c", - "Explanation": "\"$ 100 for 2 years = $ 50 per year . extra $ 5 yearned with the compound interest is the percent yearned on percent . so , $ 5 is yearned on $ 50 , which means that the interest = 10 % . this on the other hand means that half of the savings = 50 * 10 = $ 500 . twice of that = $ 1,000 . answer : c .\"" - }, - { - "Answer": 150, - "Options": "a ) 100 , b ) 110 , c ) 150 , d ) 155 , e ) 160", - "Correct": "c", - "Explanation": "\"final number = initial number + 50 % ( original number ) = 100 + 50 % ( 100 ) = 100 + 50 = 150 . answer c\"" - }, - { - "Answer": 120, - "Options": "a ) 80 % , b ) 105 % , c ) 120 % , d ) 124.2 % , e ) 138 %", - "Correct": "c", - "Explanation": "\"x = profits r = revenue x / r = 0,1 x = 10 r = 100 2009 : r = 80 x / 80 = 0,15 = 15 / 100 x = 80 * 15 / 100 x = 12 12 / 10 = 1,2 = 120 % , answer c\"" - }, - { - "Answer": 27.27272727272727, - "Options": "a ) 40 , b ) 300 / 11 , c ) 243 / 7 , d ) 279 / 11 , e ) 279 / 8", - "Correct": "b", - "Explanation": "\"cp = 110 * 10 = 1100 and sp = 100 * 14 = 1400 gain % = 100 * ( 1400 - 1100 ) / 1100 = 300 / 11 answer : b\"" - }, - { - "Answer": 12, - "Options": "a ) 22 , b ) 88 , c ) 12 , d ) 73 , e ) 29", - "Correct": "c", - "Explanation": "\"explanation : s . i . for 3 years = rs . ( 12005 - 9800 ) = rs . 2205 . s . i . for 5 years = rs . = rs . 3675 principle = rs . ( 9800 - 3675 ) = rs . 6125 hence , rate = = 12 % answer : c ) 12 %\"" - }, - { - "Answer": 18, - "Options": "a ) $ 0 , b ) $ 3 , c ) $ 4 , d ) $ 12 , e ) $ 18", - "Correct": "e", - "Explanation": "\"actual cost = $ 54 sp = actual cost + mark up = actual cost + 40 % sp = 54 * 100 / 60 on sale sp = 80 / 100 ( 54 * 100 / 60 ) = 72 gross profit = $ 18 answer is e\"" - }, - { - "Answer": 28.5, - "Options": "a ) $ 27.50 , b ) $ 28.50 , c ) $ 29.50 , d ) $ 30.50 , e ) $ 31.50", - "Correct": "b", - "Explanation": "\"let x be the price that buyers see online . the distributor wants to receive 1.2 ( original price ) which should be 80 % of x . 1.2 ( 19 ) = 0.8 x x = 1.2 ( 19 ) / 0.8 = 1.5 ( 19 ) = $ 28.50 the answer is b .\"" - }, - { - "Answer": 22, - "Options": "a ) 19 % , b ) 10 % , c ) 22 % , d ) 16 % , e ) none", - "Correct": "c", - "Explanation": "\"solution : given ratio of ram and shayam ' s weight = 7 : 5 hence , ( x - 15 ) / ( 15 - 10 ) = 7 / 5 or , x = 22 % . answer : option c\"" - }, - { - "Answer": 50, - "Options": "a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70", - "Correct": "c", - "Explanation": "let c . p = 100 gain = 25 % s . p = 125 supposed c . p = 80 gain = 30 % s . p = ( 130 * 80 ) / 100 = 104 diff = ( 125 - 104 ) = 21 diff 21 when c . p = 100 then diff 10.50 when c . p = ( 100 * 10.50 ) / 21 = 50 answer : c" - }, - { - "Answer": 67.5, - "Options": "a ) 112.5 , b ) 122.5 , c ) 132.5 , d ) 67.5 , e ) 212.5", - "Correct": "d", - "Explanation": "\"( 1500 * 1.5 * 3 ) / 100 = > 67.5 answer : d\"" - }, - { - "Answer": 3.0303030303030303, - "Options": "a ) 6.54 % , b ) 4.54 % , c ) 8 . 2 % , d ) 3.03 % , e ) 5.54 %", - "Correct": "d", - "Explanation": "\"let sum = x . then , s . i . = x . rate = ( 100 * s . i . ) / ( p * t ) = ( 100 * x ) / ( x * 33 ) = 100 / 33 = 3.03 % answer : d\"" - }, - { - "Answer": 7302.272727272727, - "Options": "a ) 8925 , b ) 8032.5 , c ) 7302.3 , d ) 8900 , e ) none of these", - "Correct": "c", - "Explanation": "\"let the sums be p . now , 55 % of p = 4016.25 or , p = 7302.3 answer c\"" - }, - { - "Answer": 92.2, - "Options": "a ) 92.9 , b ) 96.3 , c ) 92.2 , d ) 96.7 , e ) 92.8", - "Correct": "c", - "Explanation": "\"explanation : use the formula , cp = 100 \u00e2 \u20ac \u201c discount + brokerage % cp = 100 - 8 + 1 / 5 92.2 thus the cp is rs 92.2 . answer : c\"" - }, - { - "Answer": 800000, - "Options": "a ) 452000 , b ) 562000 , c ) 800000 , d ) 500000 , e ) 652000", - "Correct": "c", - "Explanation": "\"3 children got = 3 * 20 % = 60 % wife got = 30 % orphan house = 5 % total = 60 + 30 + 5 = 95 % remaining = 100 - 95 = 5 % 5 % = 40000 100 % = 40000 * 100 / 5 = $ 800000 answer is c\"" - }, - { - "Answer": 1300, - "Options": "a ) 1667 , b ) 6789 , c ) 1300 , d ) 6151 , e ) 1421", - "Correct": "c", - "Explanation": "\"cp * ( 76 / 100 ) = 988 cp = 13 * 100 = > cp = 1300 answer : c\"" - }, - { - "Answer": 290.00000000000006, - "Options": "a ) 230 , b ) 245 , c ) 260 , d ) 275 , e ) 290", - "Correct": "e", - "Explanation": "\"let x be the total number of votes cast . 0.6 x = 0.4 x + 58 0.2 x = 58 x = 290 the answer is e .\"" - }, - { - "Answer": 1400.0000000000014, - "Options": "a ) 2197 , b ) 1267 , c ) 1750 , d ) 2267 , e ) 1400", - "Correct": "e", - "Explanation": "\"explanation : c . i . = [ 4000 * ( 1 + 10 / 100 ) 2 - 4000 ] = ( 4000 * 11 / 10 * 11 / 10 - 4000 ) = rs . 840 . sum = ( 420 * 100 ) / ( 3 * 10 ) = rs . 1400 answer : e\"" - }, - { - "Answer": 43.75, - "Options": "a ) 10.22 % , b ) 20.22 % , c ) 21.22 % , d ) 43.75 % , e ) ca n ' t be calculated", - "Correct": "d", - "Explanation": "\"the owner buys 100 kg but actually gets 115 kg ; the owner sells 100 kg but actually gives 80 kg ; profit : ( 115 - 80 ) / 80 * 100 = ~ 43.75 % answer : d .\"" - }, - { - "Answer": 65.21739130434783, - "Options": "a ) 65.21 % , b ) 50.16 % , c ) 57 % , d ) 60 % , e ) 65.24 %", - "Correct": "a", - "Explanation": "\"total number of votes polled = ( 3000 + 5000 + 15000 ) = 23000 so , required percentage = 15000 / 23000 * 100 = 65.21 % a\"" - }, - { - "Answer": 89, - "Options": "a ) 69 . , b ) 73 . , c ) 81 , d ) 91 , e ) 89", - "Correct": "e", - "Explanation": "\"total students = 420 boys = 296 , girls = 124 total playing soccer = 250 86 % of 250 = 215 are boys who play soccer . girls who play soccer = 35 . total girls who do not play soccer = 124 - 35 = 89 . correct option : e\"" - }, - { - "Answer": 2300, - "Options": "a ) 2000 , b ) 2100 , c ) 2200 , d ) 2300 , e ) 2400", - "Correct": "d", - "Explanation": "\"1 percent for 3 years = 69 1 percent for 1 year = 23 = > 100 percent = 2300 answer : d\"" - }, - { - "Answer": 1079.9999999999998, - "Options": "a ) 484 , b ) 1080 , c ) 1,100 , d ) 1,320 , e ) 1,694", - "Correct": "b", - "Explanation": "lets consider the below - the number of stocks that closed at a higher price = h the number of stocks that closed at a lower price = l we understand from first statement - > h + l = 1980 - - - - ( 1 ) we understand from second statement - > h = ( 120 / 100 ) l = > h = 1.2 l - - - - ( 2 ) solve eq ( 1 ) ( 2 ) to get h = 1080 . b is my answer ." - }, - { - "Answer": 15, - "Options": "a ) 16 % , b ) 12 % , c ) 74 % , d ) 10 % , e ) 15 %", - "Correct": "e", - "Explanation": "\"let the rate be r % p . a . then , ( 5000 * r * 2 ) / 100 + ( 3000 * r * 4 ) / 100 = 3300 100 r + 120 r = 3300 r = 15 % answer : e\"" - }, - { - "Answer": 6.25, - "Options": "a ) 6.25 , b ) 7.25 , c ) 7.75 , d ) 7.35 , e ) 8.25", - "Correct": "a", - "Explanation": "\"runs scored in the first 10 overs = 10 \u00d7 3.2 = 32 total runs = 282 remaining runs to be scored = 282 - 32 = 250 remaining overs = 40 run rate needed = 25040 = 6.25 answer : a\"" - }, - { - "Answer": 98.00000000000001, - "Options": "a ) 98 , b ) 140 , c ) 62 , d ) 797 , e ) 123", - "Correct": "a", - "Explanation": "\"given 30 % ( income ) = 300 \u21d2 \u21d2 income = 1000 after having spent rs . 300 on petrol , he left with rs . 700 . his spending on house rent = 14 % ( 700 ) = rs . 98 answer : a\"" - }, - { - "Answer": 60.00000000000001, - "Options": "a ) rs . 72 , b ) rs . 36 , c ) rs . 54 , d ) rs . 60 , e ) none", - "Correct": "d", - "Explanation": "\"solution t . d = [ b . g x 100 / r x t ] = rs . ( 7.2 x 100 / 12 x 1 ) = rs . 60 . answer d\"" - }, - { - "Answer": 500, - "Options": "a ) s . 90 , b ) s . 120 , c ) s . 200 , d ) s . 250 , e ) s . 500", - "Correct": "e", - "Explanation": "\"let the sp of the refrigerator and the mobile phone be rs . r and rs . m respectively . r = 15000 ( 1 - 2 / 100 ) = 15000 - 300 m = 8000 ( 1 + 10 / 100 ) = 8000 + 800 total sp - total cp = r + m - ( 15000 + 8000 ) = - 300 + 800 = rs . 500 as this is positive , an overall profit of rs . 200 was made . e\"" - }, - { - "Answer": 200, - "Options": "a ) rs . 90 , b ) rs . 120 , c ) rs . 200 , d ) rs . 250 , e ) rs . 290", - "Correct": "c", - "Explanation": "\"let the sp of the refrigerator and the mobile phone be rs . r and rs . m respectively . r = 15000 ( 1 - 4 / 100 ) = 15000 - 600 m = 8000 ( 1 + 10 / 100 ) = 8000 + 800 total sp - total cp = r + m - ( 15000 + 8000 ) = - 600 + 800 = rs . 200 as this is positive , an overall profit of rs . 200 was made . c\"" - }, - { - "Answer": 3150, - "Options": "a ) rs . 4150 , b ) rs . 3850 , c ) rs . 3770 , d ) rs . 3150 , e ) none of these", - "Correct": "d", - "Explanation": "i = ( 7200 * 2.5 * 17.5 ) / 100 = ( 7200 * 5 * 35 ) / ( 100 * 2 * 2 ) = rs . 3150 answer : d" - }, - { - "Answer": 72.91666666666666, - "Options": "a ) 57.78 % , b ) 67.78 % , c ) 72.92 % , d ) 47.78 % , e ) 97.78 %", - "Correct": "c", - "Explanation": "35 correct our of 48 total ( 35 + 13 ) 35 / 48 correct answer c" - }, - { - "Answer": 1937.5, - "Options": "a ) 3000 , b ) 1230 , c ) 2000 , d ) 5600 , e ) 1937.5", - "Correct": "e", - "Explanation": "\"c . p . be rs . x . then , ( 1820 - x ) / x * 100 = ( x - 1280 ) / x * 100 1820 - x = x - 1280 2 x = 3100 = > x = 1550 required s . p . = 125 % of rs . 1550 = 125 / 100 * 1550 = rs . 1937.5 . answer e\"" - }, - { - "Answer": 200, - "Options": "a ) $ 180 , b ) $ 200 , c ) $ 220 , d ) $ 240 , e ) $ 260", - "Correct": "b", - "Explanation": "let the money sandy took for shopping be x . 0.7 x = 140 x = 200 the answer is b ." - }, - { - "Answer": 2000, - "Options": "a ) 1400 , b ) 1600 , c ) 1800 , d ) 1500 , e ) 2000", - "Correct": "e", - "Explanation": "\"volume of pool = 80 * 150 * 10 cu . ft , 100 % full = 60 * 100 * 10 * 1 cu . ft water is available to drain . draining capacity = 60 cu . ft / min therefore time taken = 80 * 150 * 10 * 1 / 60 min = 2000 min e\"" - }, - { - "Answer": 60, - "Options": "a ) 60 minutes , b ) 72 minutes , c ) 75 minutes , d ) 76 minutes , e ) 77 minutes", - "Correct": "a", - "Explanation": "time taken to reach = 3600 / 60 = 60 minutes answer : a" - }, - { - "Answer": 12.272727272727273, - "Options": "a ) 13.25 , b ) 14.36 , c ) 15.85 , d ) 12.27 , e ) 11.25", - "Correct": "d", - "Explanation": "\"90 % - - - - 18 132 % - - - - ? 90 / 132 * 18 = 12.27 answer : d\"" - }, - { - "Answer": 1.2500000000000002, - "Options": "a ) 1 / 6 , b ) 1 / 2 , c ) 5 / 8 , d ) 5 / 4 , e ) 15 / 16", - "Correct": "d", - "Explanation": "x - fraction of products jane inspected ( 1 - x ) - fraction of products john inspected 0.7 ( x ) + 0.5 ( 1 - x ) = 0.75 0.2 x = 0.75 - 0.5 x = 0.25 / 0.2 x = 5 / 4 therefore the answer is d : 5 / 4 ." - }, - { - "Answer": 133.82255776000002, - "Options": "a ) 117 % , b ) 120 % , c ) 121 % , d ) 133 % , e ) 140 %", - "Correct": "d", - "Explanation": "\"since michelle earns 12 % interest compounded semiannually , then she earns 6 % interest every 6 months . now , the simple interest earned in 5 periods ( 30 months = 5 * 6 months ) would be 6 % * 5 = 30 % . but , since the interest iscompoundedevery 6 months , then there would be interest earned on interest ( very small amount ) thus the actual interest earned would be a little bit more than 30 % , only answer choice d fits . answer : d\"" - }, - { - "Answer": 315.0000000000002, - "Options": "a ) 230 , b ) 175 , c ) 225 , d ) 315 , e ) none of these", - "Correct": "d", - "Explanation": "\"solution = interest % for 1 st year = 10 interest % for 2 nd year = 10 + 10 % of 10 = 10 + 10 * 10 / 100 = 11 total % of interest = 10 + 11 = 21 total interest = 21 % 1500 = 1500 * ( 21 / 100 ) = 315 answer d\"" - }, - { - "Answer": 2250, - "Options": "a ) 1000 meters , b ) 1050 meters , c ) 2200 meters , d ) 2250 meters , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : we need to get the answer in meters . so we will first of change distance from km / hour to meter / sec by multiplying it with 5 / 18 and also change 15 minutes to seconds by multiplying it with 60 . speed = 9 \u00e2 \u02c6 \u2014 5 / 18 = 5 / 2 m / sec time = 15 \u00e2 \u02c6 \u2014 60 seconds = 900 seconds distance = time \u00e2 \u02c6 \u2014 speed / distance = 5 / 2 \u00e2 \u02c6 \u2014 900 = 2250 meter option d\"" - }, - { - "Answer": 30, - "Options": "a ) 70 % , b ) 60 % , c ) 30 % , d ) 10 % , e ) 20 %", - "Correct": "c", - "Explanation": "\"explanation : let c . p . be rs . 100 . then , s . p . = rs . 123.50 let marked price be rs . x . then , 95 / 100 x = 123.50 x = 12350 / 95 = rs . 130 now , s . p . = rs . 130 , c . p . = rs . 100 profit % = 30 % . answer c\"" - }, - { - "Answer": 15337.5, - "Options": "a ) $ 15300 , b ) $ 14300 , c ) $ 15337.50 , d ) $ 16300 , e ) $ 15800", - "Correct": "c", - "Explanation": "total manufacturing cost = 12,450 + 950 * 20.75 = 32162.5 total selling cost = 950 * 50 = 47500 profit = 47500 - 32162.50 = 15337.50 answer : c" - }, - { - "Answer": 156.24999999999997, - "Options": "a ) rs . 150.50 , b ) rs . 154.75 , c ) rs . 156.25 , d ) rs . 158 , e ) none", - "Correct": "c", - "Explanation": "\"solution present worth = rs . [ 169 / ( 1 + 4 / 100 ) \u00b2 ] = rs . ( 169 x 25 / 26 x 25 / 26 ) = rs . 156.25 answer c\"" - }, - { - "Answer": 87.8, - "Options": "a ) 87.8 % , b ) 87.9 % , c ) 37.8 % , d ) 87.7 % , e ) 22.8 %", - "Correct": "a", - "Explanation": "\"otal number of fruits shopkeeper bought = 600 + 400 = 1000 number of rotten oranges = 15 % of 600 = 15 / 100 \u00d7 600 = 9000 / 100 = 90 number of rotten bananas = 8 % of 400 = 8 / 100 \u00d7 400 = 3200 / 100 = 32 therefore , total number of rotten fruits = 90 + 32 = 122 therefore number of fruits in good condition = 1000 - 122 = 878 therefore percentage of fruits in good condition = ( 878 / 1000 \u00d7 100 ) % = ( 87800 / 1000 ) % = 87.8 % answer : a\"" - }, - { - "Answer": 5.92546294487706, - "Options": "a ) 5.925 % , b ) 5.253 % , c ) 7 % , d ) 6.52 % , e ) 5.200 %", - "Correct": "a", - "Explanation": "\"explanation : let rate = r % then time = r years . = > 1800 \u2217 r \u2217 r / 100 = 632 = > r 2 = 35.11 = > r = 5.925 % option a\"" - }, - { - "Answer": 4400, - "Options": "a ) 4000 , b ) 3050 , c ) 4400 , d ) 4500 , e ) none of these", - "Correct": "c", - "Explanation": "let the number be a given , 15 / 100 * 30 / 100 * 50 / 100 * a = 99 = > 3 / 20 * 3 / 10 * 1 / 2 * a = 99 = > a = 10 * 20 * 10 * 2 = 4400 . answer : c" - }, - { - "Answer": 36, - "Options": "a ) 36 , b ) 39 , c ) 40 , d ) 41 , e ) 42", - "Correct": "a", - "Explanation": "\"1.25 x = 45 - - > 5 / 4 * x = 45 - - > x = 45 * 4 / 5 = 180 / 5 = 36 . answer : a .\"" - }, - { - "Answer": 300, - "Options": "a ) 250 , b ) 300 , c ) 350 , d ) 400 , e ) 450", - "Correct": "b", - "Explanation": "let d be the race distance that p ran . let t be the time it took to complete the race . let v be q ' s speed . t = d / 1.2 v = ( d - 50 ) / v d = 1.2 d - 60 0.2 d = 60 d = 300 meters . the answer is b ." - }, - { - "Answer": 7.142857142857143, - "Options": "a ) 7.14 , b ) 6.14 , c ) 5.14 , d ) 3.14 , e ) 2.14", - "Correct": "a", - "Explanation": "\"260 = ( 910 * 4 * r ) / 100 r = 7.14 % answer : a\"" - }, - { - "Answer": 200, - "Options": "a ) 30 % , b ) 40 % , c ) 50 % , d ) 100 % , e ) 200 %", - "Correct": "e", - "Explanation": "\"here , selling price of 10 m cloth is obtained as profit . profit of 10 m cloth = ( s . p . of 15 m cloth ) \u2013 ( c . p . of 15 m cloth ) selling price of 5 m cloth = selling price of 15 m of cloth let cost of each metre be rs . 100 . therefore , cost price of 5 m cloth = rs . 500 and s . p . of 5 m cloth = rs . rs . 1500 profit % = 1000 / 500 \u00d7 100 = 200 % profit of 200 % was made by the merchant . e\"" - }, - { - "Answer": 899, - "Options": "a ) 456 , b ) 744 , c ) 899 , d ) 1200 , e ) 1400", - "Correct": "c", - "Explanation": "\"w = 62 % l = 38 % 62 % - 38 % = 24 % 24 % - - - - - - - - 348 62 % - - - - - - - - ? = > 899 answer : c\"" - }, - { - "Answer": 8, - "Options": "a ) 8.2 % , b ) 8 % , c ) 8.5 % , d ) 9 % , e ) 9.5 %", - "Correct": "b", - "Explanation": "\"interest for 1 year = 640 / 2 = 320 interest on rs 4000 p / a = 320 interest rate = 320 / 4000 * 100 = 8 % answer : b\"" - }, - { - "Answer": 540, - "Options": "a ) 40 , b ) 460 , c ) 500 , d ) 540 , e ) 150", - "Correct": "d", - "Explanation": "don salary 8 % = 800 ; therefore , 100 % = 10000 his wife salary 8 % = 840 ; therefore , 100 % = 10500 after raise 8 % , don salary = 10000 + 800 = 10800 and his wife salary = 10500 + 840 = 11340 difference = 11340 - 10800 = 540 answer : d" - }, - { - "Answer": 51.25, - "Options": "a ) rs . 51.75 , b ) rs 51.50 , c ) rs 51.25 , d ) rs 51 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : s . i . = p \u2217 r \u2217 t / 100 p = 50 \u2217 100 / 5 \u2217 2 = 500 amount = 500 ( 1 + 5100 ) 2 500 ( 21 / 20 \u2217 21 / 20 ) = 551.25 c . i . = 551.25 \u2212 500 = 51.25 option c\"" - }, - { - "Answer": 21.636363636363637, - "Options": "a ) 22 , b ) 77 , c ) 18 , d ) 21.6 , e ) 88", - "Correct": "d", - "Explanation": "\"total cp = rs . 42000 + rs . 13000 = rs . 55000 and sp = rs . 66900 profit ( % ) = ( 66900 - 55000 ) / 55000 * 100 = 21.6 % answer : d\"" - }, - { - "Answer": 10.000000000000002, - "Options": "a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 30 %", - "Correct": "a", - "Explanation": "\"let p be the original price of the goods and let x be the rate after the markup . ( 1.75 p ) * x = 1.575 p x = 1.575 / 1.75 = 0.9 which is a discount of 10 % . the answer is a .\"" - }, - { - "Answer": 10, - "Options": "a ) 2 , b ) 10 , c ) 4 , d ) 5 , e ) 6", - "Correct": "b", - "Explanation": "\"375 = ( 750 * 5 * r ) / 100 r = 10 % . answer : b\"" - }, - { - "Answer": 3.2749999999999915, - "Options": "a ) 5.275 % , b ) 4.275 % , c ) 3.275 % , d ) 6.275 % , e ) 7.275 %", - "Correct": "c", - "Explanation": "\"let d initial price be 100 35 % rise now price = 135 / 100 * 100 = 135 10 % discount then price = 135 * 90 / 100 = 121.5 15 % discount then price = 121.5 * 85 / 100 = 103.275 so gain = 103.275 - 100 = 3.275 gain % = gain * 100 / cp = = > 3.275 * 100 / 100 = 3.275 % answer : c\"" - }, - { - "Answer": 200.99999999999997, - "Options": "a ) 3 , b ) 201 , c ) 300 , d ) none of these , e ) can not be determined", - "Correct": "b", - "Explanation": "\"answer let one - third of 1206 is n % of 200 . \u2235 1206 / 3 = ( n x 200 ) / 100 \u2234 n = ( 402 x 100 ) / 200 = 201 correct option : b\"" - }, - { - "Answer": 6, - "Options": "a ) 5 , b ) 15 , c ) 55 , d ) 95 , e ) 6", - "Correct": "e", - "Explanation": "\"p makes x sprockets per hour . then q makes 1.1 x sprockets per hour . 660 / x = 660 / 1.1 x + 10 1.1 ( 660 ) = 660 + 11 x 11 x = 66 x = 6 the answer is e .\"" - }, - { - "Answer": 1055, - "Options": "a ) 1040 , b ) 1045 , c ) 1055 , d ) 1060 , e ) 1075", - "Correct": "c", - "Explanation": "\"cost of 8 kg apples = 70 \u00d7 8 = 560 . cost of 9 kg of mangoes = 55 \u00d7 9 = 490 . total cost he has to pay = 560 + 490 = 1055 . c )\"" - }, - { - "Answer": 0.44999999999999996, - "Options": "a ) 0.49 , b ) 0.48 , c ) 0.45 , d ) 0.482 , e ) 0.411", - "Correct": "c", - "Explanation": "\"explanation : probability that a speaks truth is 75 / 100 = 0.75 probability that b speaks truth is 60 / 100 = 0.6 since both a and b are independent of each other so probability of a intersection b is p ( a ) \u00d7 p ( b ) = 0.75 \u00d7 0.6 = 0.45 answer : c\"" - }, - { - "Answer": 50.00000000000002, - "Options": "a ) 15 % , b ) 20 % , c ) 40 % , d ) 50 % , e ) e . 150 %", - "Correct": "d", - "Explanation": "\"p = 0.6 r = 0.9 g r = 0.9 g / 0.6 = 1.5 * g thus r is 50 % greater than g . the answer is d .\"" - }, - { - "Answer": 750, - "Options": "a ) 228 , b ) 744 , c ) 750 , d ) 199 , e ) 231", - "Correct": "c", - "Explanation": "\"w = 75 % l = 25 % 75 % - 25 % = 50 % 50 % - - - - - - - - 500 75 % - - - - - - - - ? = > 750 answer : c\"" - }, - { - "Answer": 72, - "Options": "a ) 80 % , b ) 72 % , c ) 120 % , d ) 124.2 % , e ) 138 %", - "Correct": "b", - "Explanation": "\"x = profits r = revenue x / r = 0,1 x = 10 r = 100 2009 : r = 80 x / 80 = 0,09 = 9 / 100 x = 80 * 9 / 100 x = 7.2 7.2 / 10 = 0.72 = 72 % , answer b\"" - }, - { - "Answer": 15, - "Options": "a ) 18 , b ) 91 , c ) 11 , d ) 17 , e ) 15", - "Correct": "e", - "Explanation": "\"( 60 / 100 ) * 50 \u2013 ( 50 / 100 ) * 30 30 - 15 = 15 answer : e\"" - }, - { - "Answer": 22.5, - "Options": "a ) $ 25 , b ) $ 22.50 , c ) $ 29.65 , d ) $ 35.95 , e ) $ 45.62", - "Correct": "b", - "Explanation": "\"s . p . of each of the article = 50 / 2 = $ 25 let m . p = $ x 90 % of x = 25 x = 25 * . 9 = $ 22.50 answer is b\"" - }, - { - "Answer": 157.5, - "Options": "a ) rs . 154.50 , b ) rs . 155.50 , c ) rs . 156.50 , d ) rs . 157.50 , e ) none of these", - "Correct": "d", - "Explanation": "explanation : we need to calculate the profit of b . it will be , si on the rate b lends - si on the rate b gets gain of b = 3500 \u00d7 11.5 \u00d7 3 / 100 \u2212 3500 \u00d7 10 \u00d7 3 / 100 = 157.50 option d" - }, - { - "Answer": 25, - "Options": "a ) 23 % , b ) 24 % , c ) 25 % , d ) 50 % , e ) 40 %", - "Correct": "c", - "Explanation": "\"explanation : 30 cp = 40 sp 40 - - - 10 cp loss 100 - - - ? = > 25 % loss answer : c\"" - }, - { - "Answer": 4, - "Options": "a ) 4 kmph , b ) 2 kmph , c ) 7 kmph , d ) 8 kmph , e ) 3 kmph", - "Correct": "a", - "Explanation": "\"ds = 19 us = 11 s = ? s = ( 19 - 11 ) / 2 = 4 kmph answer : a\"" - }, - { - "Answer": 435, - "Options": "a ) 435 , b ) 570 , c ) 480 , d ) 520 , e ) 550", - "Correct": "a", - "Explanation": "\"let the total number of valid votes be x . 70 % of x = 70 / 100 * x = 7 x / 10 number of votes secured by the other candidate = x - 7 x / 100 = 3 x / 10 given , 7 x / 10 - 3 x / 10 = 174 = > 4 x / 10 = 174 = > 4 x = 1740 = > x = 435 . answer : a\"" - }, - { - "Answer": 4615.384615384615, - "Options": "a ) 4615 , b ) 5325 , c ) 5351 , d ) 6000 , e ) 6154", - "Correct": "a", - "Explanation": "interest = 0.06 * 5000 = 0.065 * selling price - - > selling price = 0.06 * 5000 / 0.065 - - > selling price = ~ 4,615 answer : a ." - }, - { - "Answer": 26.89655172413792, - "Options": "a ) 18.75 , b ) 19.75 , c ) 26.89 , d ) 21.75 , e ) 22.75", - "Correct": "c", - "Explanation": "\"60 * 84 / 100 = 50.40 lit milk that is 9.60 lit water let x lit water will be added then ( 60 + x ) * 58 / 100 = 50.40 so x = 26.89 answer : c\"" - }, - { - "Answer": 14, - "Options": "a ) 19 , b ) 14 , c ) 13 , d ) 10 , e ) 12", - "Correct": "b", - "Explanation": "\"7 * 5 : 5 * x = 7 : 14 x = 14 answer : b\"" - }, - { - "Answer": 25, - "Options": "a ) 25 , b ) 66 , c ) 18 , d ) 19 , e ) 01", - "Correct": "a", - "Explanation": "\"explanation : dividend on 1 share = ( 12.5 * 50 ) / 100 = rs . 6.25 rs . 25 is income on an investment of rs . 100 rs . 6.25 is income on an investment of rs . ( 6.25 * 100 ) / 25 = rs . 25 answer : a\"" - }, - { - "Answer": 12.750000000000114, - "Options": "a ) $ 5 , b ) $ 12.75 , c ) $ 51.75 , d ) $ 100.75 , e ) $ 105", - "Correct": "b", - "Explanation": "\"compounded annually means that the interest is applied once per year . one can have 10 % annual interest compounded monthly - in this case 10 % / 12 would be applied each month , or 10 % annual interest compounded daily etc . with respect to the problem at hand , at the end of two years , tim would have 500 ( 1.10 ) ^ 2 = 500 ( 1.21 ) = 605 and lana would have 900 ( 1.05 ) ^ 2 = 900 ( 1.1025 ) = 992.25 thus , tim earned 105 dollars , while lana earned 92.25 dollars the difference is $ 12.75 and the answer is b .\"" - }, - { - "Answer": 14, - "Options": "a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15", - "Correct": "d", - "Explanation": "explanation : 5 shirts * rs . 28 = rs . 140 rebate = 10 % * 140 = 14 correct option : d" - }, - { - "Answer": 49.090909090909086, - "Options": "a ) 30 % , b ) 49 % , c ) 90 % , d ) 100 % , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : let c . p . = rs . 100 . then , profit = rs . 120 , s . p . = rs . 220 . new c . p . = 112 % of rs . 100 = rs . 112 new s . p . = rs . 220 . profit = rs . ( 220 - 112 ) = rs . 108 . required percentage = ( 108 / 220 * 100 ) % = 49 % appox answer : b\"" - }, - { - "Answer": 50, - "Options": "a ) 30 % , b ) 40 % , c ) 50 % , d ) 60 % , e ) 70 %", - "Correct": "c", - "Explanation": "\"here , selling price of 10 m cloth is obtained as profit . profit of 10 m cloth = ( s . p . of 30 m cloth ) \u2013 ( c . p . of 30 m cloth ) selling price of 20 m cloth = selling price of 30 m of cloth let cost of each metre be rs . 100 . therefore , cost price of 20 m cloth = rs . 2000 and s . p . of 20 m cloth = rs . rs . 3000 profit % = 10 \u00d7 100 = 50 % 20 profit of 50 % was made by the merchant . c\"" - }, - { - "Answer": 3, - "Options": "a ) 3.5 , b ) 4 , c ) 4.5 , d ) 3 , e ) 5", - "Correct": "d", - "Explanation": "10 grams of combined mixture and 40 % blue pigment means that the mixtures were mixed 50 % each . thus 5 grams a piece . out of the 5 grams of the dark blue paint , 60 % is red . therefore , 5 * . 6 = 3 grams of red pigment" - }, - { - "Answer": 16.32, - "Options": "a ) 16.32 , b ) 16.9 , c ) 12.25 , d ) 13.21 , e ) none", - "Correct": "a", - "Explanation": "\"sol . s . i . = rs . [ 34 * 6 / 100 * 8 ] = rs . 16.32 answer a\"" - }, - { - "Answer": 300, - "Options": "a ) 240 , b ) 300 , c ) 360 , d ) 420 , e ) 480", - "Correct": "b", - "Explanation": "\"30 % = 90 marks 1 % = 3 marks 100 % = 300 marks the answer is b .\"" - }, - { - "Answer": 60, - "Options": "a ) 25 % , b ) 40 % , c ) 60 % , d ) 65 % , e ) 50 %", - "Correct": "c", - "Explanation": "let c . p . of each article be re . 1 . then , c . p . of 100 articles = rs . 100 ; s . p . of 100 articles = rs . 40 . loss % = 60 / 100 * 100 = 60 % answer : c" - }, - { - "Answer": 70, - "Options": "a ) 16.67 , b ) 30 , c ) 50 , d ) 60.33 , e ) 70", - "Correct": "e", - "Explanation": "let x = ounces of 60 % salt solution to be added . 2 * 70 + . 6 x = . 4 ( 70 + x ) x = 70 answer e" - }, - { - "Answer": 25, - "Options": "a ) rs 25 , b ) rs 30 , c ) rs 35 , d ) rs 40 , e ) none of these", - "Correct": "a", - "Explanation": "explanation : one thing which is tricky in this question is to calculate the number of days . always remember that the day on which money is deposited is not counted while the day on which money is withdrawn is counted . so lets calculate the number of days now , time = ( 24 + 31 + 18 ) days = 73 / 365 years = 1 / 5 years p = 2000 r = 25 / 4 % s . i . = = 2000 \u00d7 254 \u00d7 5 \u00d7 100 = 25 answer : a" - }, - { - "Answer": 8.199999999999996, - "Options": "a ) 13 % , b ) 8.2 % , c ) 9 % , d ) 14 % , e ) 12 %", - "Correct": "b", - "Explanation": "\"( 100 % - 10 % ) * ( 100 % + 2 % ) = 0.90 * 1.02 = 8.2 % the weigh in records your weight loss at 8.2 % ! the answer is b\"" - }, - { - "Answer": 3.5, - "Options": "a ) 3.5 , b ) 3.75 , c ) 4 , d ) 4.25 , e ) 4.5", - "Correct": "a", - "Explanation": "( 1000 xtx 3 / 100 ) + ( 1400 xtx 5 / 100 ) = 350 \u2192 t = 3.5 answer a" - }, - { - "Answer": 18, - "Options": "a ) 18 , b ) 28 , c ) 26 , d ) 27 , e ) 23", - "Correct": "a", - "Explanation": "\"( 60 / 100 ) * 50 \u2013 ( 40 / 100 ) * 30 30 - 12 = 18 answer : a\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 33.3 % , b ) 32.3 % , c ) 31.3 % , d ) 30.3 % , e ) 29.3 %", - "Correct": "a", - "Explanation": "\"let the cp of each pen be rs . 1 . cp of 90 pens = rs . 90 profit = cost of 30 pens = rs . 30 profit % = 30 / 90 * 100 = 33.3 % answer : a\"" - }, - { - "Answer": 6.089999999999989, - "Options": "a ) 6.09 % , b ) 6.10 % , c ) 6.12 % , d ) 6.14 % , e ) none of these", - "Correct": "a", - "Explanation": "explanation : let the amount rs 100 for 1 year when compounded half yearly , n = 2 , rate = 6 / 2 = 3 % amount = 100 ( 1 + 3 / 100 ) 2 = 106.09 effective rate = ( 106.09 - 100 ) % = 6.09 % option a" - }, - { - "Answer": 25, - "Options": "a ) 10.5 % , b ) 12.5 % , c ) 15 % , d ) 25 % , e ) 30 %", - "Correct": "d", - "Explanation": "\"suppose there are x motorists . 10 % of them exceeded the speed limit and received the ticket , i . e . x / 10 . again , suppose total no . of motorists who exceeded the speed limit are y . 60 % of y exceeded the speed limit but did n ' t received the ticket , i . e . 3 y / 5 . it means 2 y / 5 received the ticket . hence , 2 y / 5 = x / 10 or y / x = 1 / 4 or y / x * 100 = 1 / 4 * 100 = 25 % d\"" - }, - { - "Answer": 50, - "Options": "a ) 50 % , b ) 53 % , c ) 54 % , d ) 55 % , e ) 57 %", - "Correct": "a", - "Explanation": "registered voters = 100 d = 60 r = 40 70 % of d ( 60 ) = 42 20 % of r ( 40 ) = 8 total voter % of registered voters = 50 / 100 50 % ans a" - }, - { - "Answer": 24000, - "Options": "a ) rs . 22000 , b ) rs . 24000 , c ) rs . 26000 , d ) rs . 28000 , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : question seems a bit tricky , but it is very simple . just calculate all cost price , then get 150 % of cp . c . p . = 10000 + 5000 + 1000 = 16000 150 % of 16000 = 150 / 100 * 16000 = 24000 option b\"" - }, - { - "Answer": 6, - "Options": "a ) 1 kmph , b ) 6 kmph , c ) 7 kmph , d ) 4 kmph , e ) 9 kmph", - "Correct": "b", - "Explanation": "\"explanation : ds = 22 us = 10 s = ? s = ( 22 - 10 ) / 2 = 6 kmph answer : b\"" - }, - { - "Answer": 3000, - "Options": "a ) 1050 , b ) 1220 , c ) 1250 , d ) 1060 , e ) 3000", - "Correct": "e", - "Explanation": "\"p - 2250 = ( p * 5 * 5 ) / 100 p = 3000 answer : e\"" - }, - { - "Answer": 4090.9090909090905, - "Options": "a ) rs . 4090 , b ) rs . 4067 , c ) rs . 6290 , d ) rs . 6725 , e ) rs . 6708", - "Correct": "a", - "Explanation": "\"cp = sp * ( 100 / ( 100 + profit % ) ) = 5400 ( 100 / 132 ) = rs . 4090 . answer : a\"" - }, - { - "Answer": 67.49999156250105, - "Options": "a ) 45 , b ) 36 , c ) 40 , d ) 50 , e ) 67.5", - "Correct": "e", - "Explanation": "\"production cost per article : $ 40 * ( 100 % - 20 % ) / 20 = $ 1.6 required production costs for a loss of 20 % : $ 90 * ( 100 % + 20 % ) = $ 108 number of articles to be sold for $ 108 to incur a 20 % loss : $ 108 / $ 1.6 = 67.5 thus , solution e is correct .\"" - }, - { - "Answer": 43.333333333333336, - "Options": "a ) 55 , b ) 75 , c ) 43 , d ) 52 , e ) 45", - "Correct": "c", - "Explanation": "percentage of finance specialization = 88 ; percentage of marketing specialization = 75 % ; total = 90 * 100 ; percentage of finance specialization = 90 - 88 = 2 ; percentage of marketing specialization = 100 - 75 = 25 ; then percentage of marketing specialization = 0.75 * 24 = 18 . then total percentage of marketing specialization = 25 + 18 = 43 . answer : c" - }, - { - "Answer": 19, - "Options": "a ) 19 , b ) 7 , c ) 13 , d ) 110 , e ) 180", - "Correct": "a", - "Explanation": "\"1 centimeter represents 11 kilometers ( 33 / 3 ) x = 209 / 11 = 19 answer : a\"" - }, - { - "Answer": 37.096774193548384, - "Options": "a ) 24 % , b ) 25 % , c ) 30 % , d ) 37 % , e ) 40 %", - "Correct": "d", - "Explanation": "\"230 / ( 850 - 230 ) = 230 / 620 = 23 / 62 = 37 % answer : d .\"" - }, - { - "Answer": 30, - "Options": "a ) 277 , b ) 36 , c ) 64 , d ) 72 , e ) 30", - "Correct": "e", - "Explanation": "\"? % of 360 = 108.0 or , ? = 108.0 \u00d7 100 / 360 = 30 answer e\"" - }, - { - "Answer": 83.99999999999999, - "Options": "a ) 40 , b ) 84 , c ) 90 , d ) 120 , e ) 240", - "Correct": "b", - "Explanation": "cost price of 1 pound of bananas = 0.5 / 3 = 1 / 6 selling price of 1 pound of bananas = 1 / 4 profit per pound = ( 1 / 4 - 1 / 6 ) = ( 1 / 12 ) total profit is given as 7 ( 1 / 12 ) * x = 7 x = 84 answer : b" - }, - { - "Answer": 20, - "Options": "a ) 33 , b ) 20 , c ) 88 , d ) 66 , e ) 21", - "Correct": "b", - "Explanation": "\"p = ( p * 5 * r ) / 100 r = 20 % answer : b\"" - }, - { - "Answer": 357000, - "Options": "a ) 330000 , b ) 340000 , c ) 347000 , d ) 356000 , e ) 357000", - "Correct": "e", - "Explanation": "\"total number of invalid votes = 15 % of 560000 = 15 / 100 \u00d7 560000 = 8400000 / 100 = 84000 total number of valid votes 560000 \u2013 84000 = 476000 percentage of votes polled in favour of candidate a = 75 % therefore , the number of valid votes polled in favour of candidate a = 75 % of 476000 = 75 / 100 \u00d7 476000 = 35700000 / 100 = 357000 e )\"" - }, - { - "Answer": 76.5, - "Options": "a ) 76.5 , b ) 80.9 , c ) 81.0 , d ) 81.1 , e ) 81.9", - "Correct": "a", - "Explanation": "\"consider price of the all items as $ 100 after a initial reduction of 15 % price becomes = 0.85 * 100 = $ 85 after the final reduction of 10 % price becomes = 0.9 * 85 = $ 76.5 price of all items on second day is 76.5 % of price on first day correct answer option a\"" - }, - { - "Answer": 1276.2815625000003, - "Options": "a ) 1276.28 , b ) 1276.22 , c ) 1276.29 , d ) 1276.21 , e ) 1276.23", - "Correct": "a", - "Explanation": "explanation : fv = $ 1000 ( 1.04 ) ( 1.045 ) ( 1.05 ) ( 1.055 ) ( 1.06 ) = $ 1276.14 the maturity value of the regular gic is fv = $ = $ 1276.28 answer : a ) 1276.28" - }, - { - "Answer": 35.714285714285715, - "Options": "a ) 50 % , b ) 36 % , c ) 30 % , d ) 32 % , e ) 29 %", - "Correct": "b", - "Explanation": "\"assume the revenue in 2000 to be 100 . then in 2003 it would be 140 and and in 2005 190 , so from 2003 to 2005 it increased by ( 190 - 140 ) / 140 = 50 / 140 = ~ 29 % . answer : b\"" - }, - { - "Answer": 535.7142857142857, - "Options": "a ) 337 , b ) 500 , c ) 266 , d ) 288 , e ) 536", - "Correct": "e", - "Explanation": "\"75 = ( p * 4 * 7 / 2 ) / 100 p = 536 answer : e\"" - }, - { - "Answer": 19828.79999999999, - "Options": "a ) rs . 18 , 828.80 , b ) rs . 19 , 828.80 , c ) rs . 18 , 028.80 , d ) rs . 17 , 828.80 , e ) none of these", - "Correct": "b", - "Explanation": "\"let the sum be rs . p p { [ 1 + 8 / 100 ] 2 - 1 } = 2828.80 p ( 8 / 100 ) ( 2 + 8 / 100 ) = 2828.80 [ a 2 - b 2 = ( a - b ) ( a + b ) ] p = 2828.80 / ( 0.08 ) ( 2.08 ) = 1360 / 0.08 = 17000 principal + interest = rs . 19828.80 answer : b\"" - }, - { - "Answer": 800, - "Options": "a ) a ) 540 , b ) b ) 400 , c ) c ) 800 , d ) d ) 650 , e ) e ) 840", - "Correct": "c", - "Explanation": "\"let the number of students appeared be x then , 65 % of x = 520 65 x / 100 = 520 x = 520 * 100 / 65 = 800 answer is c\"" - }, - { - "Answer": 3, - "Options": "a ) a . 0.6 , b ) b . 1 , c ) c . 2.1 , d ) d . 3 , e ) e . 5.4", - "Correct": "d", - "Explanation": "\"25 % of 6 = 1.5 50 % of 6 = 3 shortage is 1.5 so we need to have 1.5 / 50 % to get 50 % alcohol content . = 3 d\"" - }, - { - "Answer": 0.9473684210526315, - "Options": "a ) 3 / 4 , b ) 4 , c ) 18 / 19 , d ) 9 , e ) 12", - "Correct": "c", - "Explanation": "yes there is a typo in the question , i got the same ques on my gmat prep last week , and the questions goes as : a company has two types of machines , type r and type s . operating at a constant rate a machine of r does a certain job in 36 hours and a machine of type s does the job in 2 hours . if the company used the same number of each type of machine to do job in 2 hours , how many machine r were used ? so for a job to be done in 2 hours r = 1 / 2 r _ a ( rate of machine r ) = 1 / 36 r _ s ( rate of machine s ) = 1 / 2 lets say x machines are used to attain the desired rate , thus x / 36 + x / 2 = 1 / 2 ( desired r = 1 / 2 i . e . to complete the job in 2 hours ) ( x + 18 x ) / 36 = 1 / 2 19 x / 36 = 1 / 2 x = 18 / 19 . qa = 18 / 19 ( answer c )" - }, - { - "Answer": 4, - "Options": "a ) 4 % , b ) 8 % , c ) 25 % , d ) 16.66 % , e ) 9 %", - "Correct": "a", - "Explanation": "the most natural way to deal with ' weights ' questions is by assuming values . say the trader ' s balance shows 100 gms . it is actually 80 gms because it weighs 20 % less . say , the cost price is $ 80 ( $ 1 / gm ) . since he gets a profit of 30 % , the selling price must be 80 + ( 30 / 100 ) * 80 = $ 104 since the cost price is actually supposed to be $ 100 ( for 100 gms ) and the selling price is $ 104 , the mark up is simply 4 % . ans : a" - }, - { - "Answer": 10815.834432633617, - "Options": "a ) $ 10079.44 , b ) w = $ 10815.83 , c ) $ 12652.61 , d ) $ 14232.14 , e ) $ 20598.11", - "Correct": "b", - "Explanation": "\"ps . i guess one can use simple interest to solve cause the answer choices are quite spread between you can easily arrive at something near 8 % hence b the answer\"" - }, - { - "Answer": 166.66666666666666, - "Options": "a ) 166.69 % , b ) 166.66 % , c ) 166.76 % , d ) 136.66 % , e ) 566.66 %", - "Correct": "b", - "Explanation": "let the cost price of 1 litre pure milk be re . 1 , then \\ inline \\ begin { bmatrix } 6 & litres ( milk ) & \\ rightarrow & cp = rs . 6 \\ \\ 2 & litres ( water ) & \\ rightarrow & cp = rs . 0 \\ end { bmatrix } \\ rightarrow cp = rs . 6 only and 8 litre mixture \\ rightarrow sp \\ rightarrow 8 x 2 = rs . 16 profit % = % answer : b" - }, - { - "Answer": 266666.6666666666, - "Options": "a ) a ) 266666.7 , b ) b ) 562000 , c ) c ) 800000 , d ) d ) 500000 , e ) e ) 652000", - "Correct": "a", - "Explanation": "3 children got = 3 * 15 % = 45 % wife got = 30 % orphan house = 10 % total = 45 + 30 + 10 = 85 % remaining = 100 - 85 = 15 % 15 % = 40000 100 % = 40000 * 100 / 15 = $ 266666.7 answer is a" - }, - { - "Answer": 16065, - "Options": "a ) 12021 , b ) 14520 , c ) 16065 , d ) 18925 , e ) 12887", - "Correct": "c", - "Explanation": "\"principal = ( 100 * 4016.25 ) / ( 5 * 5 ) = rs . 16065 . answer : c\"" - }, - { - "Answer": 5, - "Options": "a ) 5 liters , b ) 10 liters , c ) 15 liters , d ) 8 liters , e ) 6 liters", - "Correct": "a", - "Explanation": "required answer is = 15 ( 60 - 40 ) / 60 = 5 liters answer is a" - }, - { - "Answer": 169.40000000000003, - "Options": "a ) $ 118.00 , b ) $ 120.00 , c ) $ 169.40 , d ) $ 122.00 , e ) $ 140.00", - "Correct": "c", - "Explanation": "using formula - a = p ( 1 + r / n ) ^ nt given p = 140 n = 2 t = 1 r = 0.2 substituting value in formula a = 140 ( 1 + 0.2 / 2 ) ^ 2 a = 169.40 $ = c" - }, - { - "Answer": 114.28571428571429, - "Options": "a ) s . 83.33 , b ) s . 110 , c ) s . 114 , d ) s . 120 , e ) s . 140", - "Correct": "c", - "Explanation": "\"income of rs 14 on investment of rs 100 income of rs 16 on investment of ? = ( 16 * 100 ) / 14 = 114 answer : c\"" - }, - { - "Answer": 6, - "Options": "a ) 3.6 , b ) 6 , c ) 18 , d ) can not be determined , e ) none of these", - "Correct": "b", - "Explanation": "\"let rate = r % and time = r years . then , 1200 x r x r / 100 = 432 12 r 2 = 432 r 2 = 36 r = 6 . answer : b\"" - }, - { - "Answer": 96, - "Options": "a ) s . 96 , b ) s . 45 , c ) s . 120 , d ) s . 180 , e ) s . 189", - "Correct": "a", - "Explanation": "\"sp = 120 cp = ( sp ) * [ 100 / ( 100 + p ) ] = 120 * [ 100 / ( 100 + 25 ) ] = 120 * [ 100 / 125 ] = rs . 96 answer : a\"" - }, - { - "Answer": 22666.666666666668, - "Options": "a ) 22666 , b ) 20000 , c ) 25000 , d ) 22235 , e ) none of these", - "Correct": "a", - "Explanation": "\"explanation : 15 % of income = rs . 3400 100 % of income = 3400 x 100 / 15 = rs . 22666 answer : a\"" - }, - { - "Answer": 45, - "Options": "a ) rs . 50 , b ) rs . 45 , c ) rs . 40.5 , d ) rs . 48.5 , e ) rs . 49.5", - "Correct": "b", - "Explanation": "s . i . = rs . 405 r = 4.5 % t = 1 year principal = ( 100 * 405 ) / ( 4.5 * 1 ) = rs . 9000 s . i at 5 % interest = ( 9000 * 5 * 1 ) / 100 = rs . 450 difference in interest = 450 \u2013 405 = rs . 45 answer : b" - }, - { - "Answer": 17.999999999999996, - "Options": "a ) 15 , b ) 16 , c ) 17 , d ) 18 , e ) 19", - "Correct": "d", - "Explanation": "\"if q complete x kilometers , then p completes 1.2 x kilometers . x + 1.2 x = 33 2.2 x = 33 x = 15 then p will have have walked 1.2 * 15 = 18 km . the answer is d .\"" - }, - { - "Answer": 400, - "Options": "a ) 334 , b ) 500 , c ) 400 , d ) 288 , e ) 271", - "Correct": "c", - "Explanation": "\"let the maximum marks be m then 92 % of m = 368 \u21d2 92 / 100 \u00d7 m = 368 \u21d2 m = ( 368 \u00d7 100 ) / 92 \u21d2 m = 36800 / 92 \u21d2 m = 400 therefore , maximum marks in the examinations are 400 . answer : c\"" - }, - { - "Answer": 14400, - "Options": "a ) 10000 , b ) 12000 , c ) 13000 , d ) 14000 , e ) 14400", - "Correct": "e", - "Explanation": "\"formula : ( after = 100 denominator ago = 100 numerator ) 10000 \u00d7 120 / 100 \u00d7 120 / 100 = 14400 e\"" - }, - { - "Answer": 460, - "Options": "a ) 430 , b ) 438 , c ) 436 , d ) 434 , e ) 460", - "Correct": "e", - "Explanation": "\"let the total number of valid votes be x . 70 % of x = 70 / 100 * x = 7 x / 10 number of votes secured by the other candidate = x - 7 x / 100 = 3 x / 10 given , 7 x / 10 - 3 x / 10 = 184 = > 4 x / 10 = 184 = > 4 x = 1840 = > x = 460 . answer : e\"" - }, - { - "Answer": 2088, - "Options": "a ) 2081 , b ) 2083 , c ) 2088 , d ) 1971 , e ) 1973", - "Correct": "c", - "Explanation": "\"explanation : given year 2060 when divided by 4 , leaves a remainder 0 . note : when remainder is 0 , 28 is added to the given year to get the result . so , 2060 + 28 = 2088 answer : c\"" - }, - { - "Answer": 140, - "Options": "a ) 140 % , b ) 29 % , c ) 70 % , d ) 27 % , e ) 28 %", - "Correct": "a", - "Explanation": "\"sp 2 = 1 / 3 sp 1 cp = 100 sp 2 = 80 1 / 3 sp 1 = 80 sp 1 = 240 100 - - - 240 = > 140 % answer : a\"" - }, - { - "Answer": 60, - "Options": "a ) 50 % , b ) 60 % , c ) 75 % , d ) 80 % , e ) 90 %", - "Correct": "b", - "Explanation": "\"p = 0.5 r = 0.8 g r = 0.8 g / 0.5 = 1.6 * g thus r is 60 % greater than g . the answer is b .\"" - }, - { - "Answer": 9.90990990990991, - "Options": "a ) 1 % , b ) 1.1 % , c ) 9.1 % , d ) 10 % , e ) 10.8 %", - "Correct": "d", - "Explanation": "\"let us suppose the interest rate last year is x , this year the interest rate is increased by 10 % . hence this year interest rate would be 1.1 * x . setting up the equation - - - - - > 11 = 1.1 * x x = 10 % answer : d\"" - }, - { - "Answer": 36, - "Options": "a ) s . 59 , b ) s . 58 , c ) s . 36 , d ) s . 46 , e ) s . 13", - "Correct": "c", - "Explanation": "\"sp per metre = 9000 / 300 = rs . 30 loss per metre = rs . 6 cp per metre = 30 + 6 = rs . 36 answer : c\"" - }, - { - "Answer": 3000, - "Options": "a ) $ 2000 , b ) $ 2500 , c ) $ 3000 , d ) $ 3120 , e ) $ 1540", - "Correct": "c", - "Explanation": "\"115 % of cost - 110 % of cost = $ 150 5 % of cost = $ 150 cost = 150 * 100 / 5 = $ 3000 answer is c\"" - }, - { - "Answer": 5.92, - "Options": "a ) 9.5 , b ) 10.5 , c ) 5.5 , d ) 5.9 , e ) 8.5", - "Correct": "d", - "Explanation": "\"8 % of 24 + 10 % of 40 24 * 8 / 100 + 40 * 10 / 100 1.9 + 4 = 5.9 answer d\"" - }, - { - "Answer": 750, - "Options": "a ) 114 , b ) 108 , c ) 192 , d ) 750 , e ) 777", - "Correct": "d", - "Explanation": "\"let ' s take the approach that uses the answer choices to eliminate wasted time . 240 / 8 = 30 pens per minute per machine . 5 machines = 150 per minute . 5 minutes worth = 750 pens . looking at the answers it is clear . . . we can only choose ( d ) . the correct answer is d .\"" - }, - { - "Answer": 349.99999999999994, - "Options": "a ) 160 , b ) 150 , c ) 100 , d ) 80 , e ) 350", - "Correct": "e", - "Explanation": "\"say there are a gallons of fuel a in the tank , then there would be 200 - a gallons of fuel b . the amount of ethanol in a gallons of fuel a is 0.12 a ; the amount of ethanol in 200 - a gallons of fuel b is 0.16 ( 200 - a ) ; since the total amount of ethanol is 18 gallons then 0.12 a + 0.16 ( 200 - a ) = 18 - - > a = 350 . answer : e .\"" - }, - { - "Answer": 50, - "Options": "a ) 50 % , b ) 60 % , c ) 40 % , d ) 30 % , e ) 45 %", - "Correct": "a", - "Explanation": "\"a 50 % if the sum he paid whilst purchasing 30 pens = a , then the cost price of each pen = a / 30 . since the amount he got whilst selling 20 pens is also = a then the selling price of each pen = a / 20 . since selling price > cost price , he made a profit . profit per pen = selling price - cost price = a / 20 - a / 30 = a / 60 . profit percentage per pen = profit per pen / cost per pen x 100 = ( a / 60 ) / ( a / 30 ) x 100 = 50 %\"" - }, - { - "Answer": 30, - "Options": "a ) 11 , b ) 30 , c ) 28 , d ) 24 , e ) 82", - "Correct": "b", - "Explanation": "\"explanation : 2420 - - - 726 100 - - - ? = > 30 % answer : option b\"" - }, - { - "Answer": 6, - "Options": "a ) $ 6 , b ) $ 8 , c ) $ 12 , d ) $ 16 , e ) $ 432", - "Correct": "a", - "Explanation": "\"ans a solution amount ( ci ) = p + ( 1 + r / n ) ^ nt = 5000 + ( 1 + 0.06 / 2 ) ^ 2 = 5406 amount ( si ) = p + ptr / 100 = 5000 + ( 5000 * 1 * 8 / 100 ) = 5400 difference = 5406 - 5400 = 6 $ a\"" - }, - { - "Answer": 42.857142857142854, - "Options": "a ) 38 , b ) 39 , c ) 40 , d ) 41 , e ) 43", - "Correct": "e", - "Explanation": "\"soln : - 5 x = 45 - - > 21 / 20 * x = 45 - - > x = 45 * 20 / 21 = 300 / 7 = ~ 43 . answer : e .\"" - }, - { - "Answer": 50, - "Options": "a ) 50 , b ) 52 , c ) 58 , d ) 60 , e ) 62", - "Correct": "a", - "Explanation": "\"solution solution let the number be x . x - 16 % of x = 42 x - 16 / 100 x = 42 x - 4 / 25 x = 42 21 / 25 x = 42 x = ( 42 x 25 / 21 ) = 50 answer a\"" - }, - { - "Answer": 380800, - "Options": "a ) 330000 , b ) 340000 , c ) 380800 , d ) 356000 , e ) 357000", - "Correct": "c", - "Explanation": "\"total number of invalid votes = 15 % of 560000 = 15 / 100 \u00d7 560000 = 8400000 / 100 = 84000 total number of valid votes 560000 \u2013 84000 = 476000 percentage of votes polled in favour of candidate a = 80 % therefore , the number of valid votes polled in favour of candidate a = 80 % of 476000 = 80 / 100 \u00d7 476000 = 38080000 / 100 = 380800 c )\"" - }, - { - "Answer": 16, - "Options": "a ) 4 , b ) 8 , c ) 12 , d ) 16 , e ) 17", - "Correct": "d", - "Explanation": "solution let the required number of mats be x . more weaves , more mats ( direct proportion ) more days , more mats ( direct proportion ) \u2234 4 \u00d7 4 \u00d7 x = 8 \u00d7 8 \u00d7 4 \u21d4 x = ( 8 x 8 x 4 ) / ( 4 x 4 ) = 16 . answer d" - }, - { - "Answer": 6050.000000000001, - "Options": "a ) $ 5850 , b ) $ 5950 , c ) $ 6050 , d ) $ 6150 , e ) $ 6250", - "Correct": "c", - "Explanation": "\"a = ( 1 + r / 100 ) ^ n * p ( 1.1 ) ^ 2 * 5000 = 1.21 * 5000 = 6050 the answer is c .\"" - }, - { - "Answer": 12.5, - "Options": "a ) 15 % , b ) 14.25 % , c ) 12.5 % , d ) 10.5 % , e ) 11.5 %", - "Correct": "c", - "Explanation": "explanation : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - solution 1 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - simple interest for 2 years is rs . 320 = > simple interest for first year = 320 / 2 = 160 = > similarly , simple interest for second year is also 160 compound interest for first year = 160 compound interest for second year = 340 - 160 = 180 we can see that compound interest for second year is more than simple interest for second year by 180 - 160 = 20 i . e . , rs . 20 is the simple interest on rs . 160 for 1 year r = 100 \u00d7 si / pt = ( 100 \u00d7 20 ) / ( 160 \u00d7 1 ) = 12.5 % - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - solution 2 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - the difference between compound interest and simple interest on rs . p for 2 years at r % per annum = ( r \u00d7 si ) / ( 2 \u00d7 100 ) difference between the compound interest and simple interest = 340 - 320 = 20 ( r \u00d7 si ) / ( 2 \u00d7 100 ) = 20 ( r \u00d7 320 ) / ( 2 \u00d7 100 ) = 20 r = 20 \u00d7 100 \u00d7 2320 = 12.5 % answer : option c" - }, - { - "Answer": 350.00000000000006, - "Options": "a ) 350 , b ) 375 , c ) 400 , d ) 425 , e ) 450", - "Correct": "a", - "Explanation": "\"let x be the total number of votes cast . 0.6 x = 0.4 x + 70 0.2 x = 70 x = 350 the answer is a .\"" - }, - { - "Answer": 1250, - "Options": "a ) 1502 , b ) 1900 , c ) 1250 , d ) 1750 , e ) 2000", - "Correct": "c", - "Explanation": "\"principal = ( 100 * 1500 ) / ( 12 * 10 ) = rs . 1250 answer : c\"" - }, - { - "Answer": 100, - "Options": "a ) 11 , b ) 20 , c ) 100 , d ) 77 , e ) 12", - "Correct": "c", - "Explanation": "\"1000 - - - - 1000 100 - - - - ? = > 100 % answer : c\"" - }, - { - "Answer": 5, - "Options": "a ) 2.8 liters . , b ) 2.5 liters . , c ) 5 liters . , d ) 2.6 liters . , e ) 2.1 liters .", - "Correct": "c", - "Explanation": "\"answer : explanation : in each of the solutions , there is a pure tomato component and some water . so while boiling , water evaporates but tomato not . so we equate tomato part in the both equations . \u00e2 \u2021 \u2019 \u00e2 \u2021 \u2019 10 % ( 40 ) = 80 % ( x ) \u00e2 \u2021 \u2019 \u00e2 \u2021 \u2019 x = 5 liters . answer : c\"" - }, - { - "Answer": 67.5, - "Options": "a ) 25 % , b ) 50 % , c ) 68 % , d ) 80 % , e ) 100 %", - "Correct": "c", - "Explanation": "basically we can disregard the radius is 25 % information , as we are only asked about the height of the original and the new cylinder . this is becausethe new cylinder is 3 / 5 fullmeans the same as that it ' s height is 3 / 5 . original cylinder 8 / 9 new cylinder 3 / 5 so 3 / 5 / 8 / 9 = 3 / 5 * 9 / 8 = 12 / 15 = 4 / 5 = 0.680 or 68 % . answer c" - }, - { - "Answer": 10000.000000000002, - "Options": "a ) 12000 , b ) 15000 , c ) 1200 , d ) 1000 , e ) 10000", - "Correct": "e", - "Explanation": "\"cp * ( 44 / 100 ) = 4400 cp = 100 * 100 = > cp = 10000 answer : e\"" - }, - { - "Answer": 25, - "Options": "a ) 25 % , b ) 40 % , c ) 50 % , d ) 60 % , e ) 70 %", - "Correct": "a", - "Explanation": "here , selling price of 10 m cloth is obtained as profit . profit of 10 m cloth = ( s . p . of 50 m cloth ) \u2013 ( c . p . of 50 m cloth ) selling price of 40 m cloth = selling price of 50 m of cloth let cost of each metre be rs . 100 . therefore , cost price of 40 m cloth = rs . 4000 and s . p . of 40 m cloth = rs . rs . 5000 profit % = 10 / 40 \u00d7 100 = 25 % profit of 25 % was made by the merchant . a" - }, - { - "Answer": 612, - "Options": "a ) rs . 512 , b ) rs . 552 , c ) rs . 612 , d ) rs . 622 , e ) none", - "Correct": "c", - "Explanation": "\"solution amount = rs [ 7500 x ( 1 + 4 / 100 ) \u00b2 ] = rs . ( 7500 x 26 / 25 x 26 / 25 ) = rs . 8112 . c . i = rs ( 8112 - 7500 ) = rs . 612 . answer c\"" - }, - { - "Answer": 12, - "Options": "a ) $ 4 , b ) $ 8 , c ) $ 12 , d ) $ 16 , e ) $ 432", - "Correct": "c", - "Explanation": "\"solution amount ( ci ) = p + ( 1 + r / n ) ^ nt = 5000 + ( 1 + 0.12 / 2 ) ^ 2 = 5412 amount ( si ) = p + ptr / 100 = 5000 + ( 5000 * 1 * 12 / 100 ) = 5400 difference = 5412 - 5400 = 12 $ c\"" - }, - { - "Answer": 1088, - "Options": "a ) 277 , b ) 1088 , c ) 277 , d ) 266 , e ) 121", - "Correct": "b", - "Explanation": "\"let c . p . = rs . x . then , 832 - x = x - 448 2 x = 1280 = > x = 640 required s . p . = 170 % of rs . 640 = 170 / 100 * 640 = rs . 1088 . answer : b\"" - }, - { - "Answer": 1750, - "Options": "a ) $ 1750 , b ) $ 2250 , c ) $ 1250 , d ) $ 1500 , e ) $ 2000", - "Correct": "a", - "Explanation": "\"compound interest = ( 4000 x ( 1 + 10 / 100 ) ^ 2 - 4000 ) = 4000 x 11 / 10 x 11 / 10 - 4000 = 840 therefore the sum is 420 x 100 / ( 3 x 8 ) = 1750 . answer a ) $ 1750\"" - }, - { - "Answer": 7, - "Options": "a ) 3 , b ) 5 , c ) 7 , d ) 9 , e ) 10", - "Correct": "c", - "Explanation": "\"solution speed in still water = 1 / 2 ( 11 + 3 ) km / hr = 7 kmph . answer c\"" - }, - { - "Answer": 228, - "Options": "a ) $ 198 , b ) $ 228 , c ) $ 220 , d ) $ 230 , e ) $ 240", - "Correct": "b", - "Explanation": "\"wholesale cost of video recorder = 200 $ video recorder was priced at 20 percent above 200 = 240 $ % discount given by store employee = 5 emlpoyee paid = . 95 * 240 = 228 $ answer b\"" - }, - { - "Answer": 1944, - "Options": "a ) 776 , b ) 1944 , c ) 2199 , d ) 2157 , e ) 2125", - "Correct": "b", - "Explanation": "\"w = 54 % l = 46 % 54 % - 46 % = 8 % 8 % - - - - - - - - 288 54 % - - - - - - - - ? = > 1944 answer : b\"" - }, - { - "Answer": 0.4830917874396135, - "Options": "a ) 40 , b ) 300 / 11 , c ) 243 / 7 , d ) 279 / 11 , e ) 100 / 207", - "Correct": "e", - "Explanation": "\"cp = 115 * 18 = 2070 and sp = 104 * 20 = 2080 gain % = 100 * ( 2080 - 2070 ) / 2070 = 100 / 207 answer : e\"" - }, - { - "Answer": 5, - "Options": "a ) 1 kmph , b ) 3 kmph , c ) 8 kmph , d ) 7 kmph , e ) 5 kmph", - "Correct": "e", - "Explanation": "\"ds = 14 us = 4 s = ? s = ( 14 - 4 ) / 2 = 5 kmph answer : e\"" - }, - { - "Answer": 16, - "Options": "a ) 13 % , b ) 14 % , c ) 15 % , d ) 16 % , e ) 17 %", - "Correct": "d", - "Explanation": "\"number of students in group a = 20 students who forget homework in group a = 20 % of 20 = 4 students number of students in group b = 80 students who forget homework in group b = 15 % of 80 = 12 students total number of students = 20 + 80 = 100 students who forgot homework = 4 + 12 = 16 students percentage of students who forget homework = 16 / 100 * 100 = 16 % answer : d\"" - }, - { - "Answer": 368, - "Options": "a ) s . 345 , b ) s . 350 , c ) s . 352 , d ) s . 362 , e ) s . 368", - "Correct": "e", - "Explanation": "\"suresh : rohan : sudhir ratio of their investments = 18000 \u00d7 12 : 12000 \u00d7 9 : 9000 \u00d7 8 = 6 : 3 : 2 the difference between rohan \u2019 s and sudhir \u2019 s share = 1 share : . i . e . = rs . 4048 \u00d7 1 / 11 = rs . 368 . e\"" - }, - { - "Answer": 2250, - "Options": "a ) $ 1000 , b ) $ 1250 , c ) $ 2500 , d ) $ 2250 , e ) $ 1200", - "Correct": "d", - "Explanation": "\"let a ' s salary is x b ' s salary = 3000 - x ( 100 - 95 ) % of x = ( 100 - 85 ) % of ( 3000 - x ) x = $ 2250 answer is d\"" - }, - { - "Answer": 162.5, - "Options": "a ) rs . 72 , b ) rs . 92 , c ) rs . 162.50 , d ) rs . 116.50 , e ) none of these", - "Correct": "c", - "Explanation": "\"solution to obtain rs . 8 , investment = rs . 100 . to obtain rs . 13 , investment = rs . ( 100 / 8 x 13 ) = rs . 162.50 \u2234 market value of rs . 100 stock = rs . 162.50 answer c\"" - }, - { - "Answer": 500, - "Options": "a ) 334 , b ) 500 , c ) 376 , d ) 288 , e ) 271", - "Correct": "b", - "Explanation": "\"let the maximum marks be m then 92 % of m = 460 \u21d2 92 / 100 \u00d7 m = 460 \u21d2 m = ( 460 \u00d7 100 ) / 92 \u21d2 m = 46000 / 92 \u21d2 m = 500 therefore , maximum marks in the examinations are 500 . answer : b\"" - }, - { - "Answer": 60, - "Options": "a ) 20 % , b ) 42 % , c ) 60 % , d ) 80 % , e ) 84 %", - "Correct": "c", - "Explanation": "let ' s assume there are 100 reporters - - > 30 reporters cover local politics . now , as 25 % of the reporters who cover all politics do not cover local politics then the rest 75 % of the reporters who cover politics do cover local politics , so if there are x reporters who cover politics then 75 % of them equal to 30 ( # of reporters who cover local politics ) : 0.75 x = 30 - - > x = 40 , hence 40 reporters cover politics and the rest 100 - 40 = 60 reporters do not cover politics at all . answer : c ." - }, - { - "Answer": 10800, - "Options": "a ) 29997 , b ) 10800 , c ) 27098 , d ) 19000 , e ) 2799", - "Correct": "b", - "Explanation": "money paid in cash = rs . 1200 balance payment = ( 12000 - 1200 ) = rs . 10800 . answer : b" - }, - { - "Answer": 20, - "Options": "a ) 16.5 % , b ) 20 % , c ) 35 % , d ) 55 % , e ) 65 %", - "Correct": "b", - "Explanation": "\"in my view easiest method would be , eliminating the percentage sign let 3.5 be 35 5.5 be 55 and 3 be 30 then first eq : s + f = e 130 s + 155 f = 135 e 5 s = 20 f therefore , s = 4 f and then e = 5 f f / e = f / 5 f = 20 % therefore , answer is b\"" - }, - { - "Answer": 1.3, - "Options": "a ) 1.3 % , b ) 1.2 % , c ) 1.1 % , d ) 1.0 % , e ) 0.9 %", - "Correct": "a", - "Explanation": "the number of grams of liquid x is 0.5 ( 200 ) / 100 + 1.5 ( 800 ) / 100 = 1 + 12 = 13 grams . 13 / 1000 = 1.3 % the answer is a ." - }, - { - "Answer": 6.5625, - "Options": "a ) rs 6.56 , b ) rs 9.56 , c ) rs 10.56 , d ) rs 11.56 , e ) none of these", - "Correct": "a", - "Explanation": "\"explanation : 80 : 5 = 105 : x x = ( 5 \u00d7 105 / 80 ) = rs 6.56 option a\"" - }, - { - "Answer": 2500, - "Options": "a ) s . 2000 , b ) s . 2500 , c ) s . 3000 , d ) s . 3500 , e ) s . 4000", - "Correct": "b", - "Explanation": "\"explanation : let the sub be rs . x and the initial rate be r % . then x \u00e3 \u2014 ( r + 2 ) \u00e3 \u2014 5 / 100 \u00e2 \u02c6 \u2019 x \u00e3 \u2014 r \u00e3 \u2014 5 / 100 = 250 \u00e2 \u2021 \u2019 x \u00e3 \u2014 2 \u00e3 \u2014 5 / 100 = 250 \u00e2 \u2021 \u2019 x \u00e3 \u2014 5 / 100 = 125 \u00e2 \u2021 \u2019 5 x = 12500 \u00e2 \u2021 \u2019 x = 2500 answer : option b\"" - }, - { - "Answer": 8625, - "Options": "a ) s . 8600 , b ) s . 8000 , c ) s . 7500 , d ) s . 7000 , e ) s . 6500", - "Correct": "a", - "Explanation": "\"p = rs . 68800 , r = 50 / 3 % p . a and t = 9 / 12 years = 3 / 4 years . s . i . = ( p * r * t ) / 100 = rs . ( 68,800 * ( 50 / 3 ) * ( 3 / 4 ) * ( 1 / 100 ) ) = rs . 8600 answer is a .\"" - }, - { - "Answer": 9, - "Options": "a ) 25 , b ) 9 , c ) 39 , d ) 61 , e ) 16", - "Correct": "b", - "Explanation": "\"let the required number of bottles be x . more weavers , more mats ( direct proportion ) more days , more mats ( direct proportion ) wavers 4 : 6 : : 4 : x days 4 : 6 4 * 4 * x = 6 * 6 * 4 x = ( 6 * 6 * 4 ) / ( 4 x 4 ) x = 9 . answer is b .\"" - }, - { - "Answer": 860, - "Options": "a ) $ 600 , b ) $ 740 , c ) $ 860 , d ) $ 980 , e ) $ 1,140", - "Correct": "c", - "Explanation": "\"price of 1 ticket = 20 $ revenue generated from sales of first 10 tickets = 10 * ( 60 / 100 * 20 ) = 10 * 12 = 120 revenue generated from sales of next 20 tickets = 20 * ( 85 / 100 * 20 ) = 20 * 17 = 340 revenue generated from sales of last 20 tickets = 20 * 20 = 400 revenue generated from sales of 50 tickets = 120 + 340 + 400 = 860 $ answer c\"" - }, - { - "Answer": 125, - "Options": "a ) 1 , b ) 10 , c ) 125 , d ) 50 , e ) 20", - "Correct": "c", - "Explanation": "\"25 % of 1000 gives 250 . so 250 attends chess and 50 % of 250 gives 125 so 125 enrolled for swimming answer : c\"" - }, - { - "Answer": 1360, - "Options": "a ) s . 1090 , b ) s . 1360 , c ) s . 1190 , d ) s . 1202 , e ) s . 1256", - "Correct": "b", - "Explanation": "\"s . p . = 85 % of rs . 1600 = rs . 85 / 100 x 1600 = rs . 1360 answer : b\"" - }, - { - "Answer": 14000, - "Options": "a ) 12500 , b ) 13280 , c ) 17520 , d ) 14000 , e ) 12560", - "Correct": "d", - "Explanation": "\"let the original value of the tempo is $ x 3 % of 5 / 7 of x = 300 ( 3 / 100 ) * ( 5 / 7 ) x = 300 x = $ 14000 answer is d\"" - }, - { - "Answer": 25, - "Options": "a ) 20 % , b ) 25 % , c ) 30 % , d ) 50 % , e ) 15 %", - "Correct": "b", - "Explanation": "\"let the c . p . = $ 4 x then s . p . = $ 5 x then , gain = 5 x - 4 x = $ x gain % = x / 4 x * 100 = 25 % answer is b\"" - }, - { - "Answer": 26.000000000000007, - "Options": "a ) 74 % , b ) 64 % , c ) 42 % , d ) 28 % , e ) 26 %", - "Correct": "e", - "Explanation": "say the second solution ( which was 1 / 4 th of total ) was x % sugar , then 3 / 4 * 0.1 + 1 / 4 * x = 1 * 0.14 - - > x = 0.26 . alternately you can consider total solution to be 100 liters and in this case you ' ll have : 75 * 0.1 + 25 * x = 100 * 0.14 - - > x = 0.26 . answer : e ." - }, - { - "Answer": 715, - "Options": "a ) 600 , b ) 715 , c ) 772 , d ) 662 , e ) 521", - "Correct": "b", - "Explanation": "\"cost price = rs . 550 profit = 30 % of 550 = rs . 165 selling price = cost price + profit = 550 + 165 = 715 answer : b\"" - }, - { - "Answer": 364, - "Options": "a ) 198 , b ) 364 , c ) 369 , d ) 207 , e ) 210", - "Correct": "b", - "Explanation": "\"sp = 1.30 * 280 = 364 answer : b\"" - }, - { - "Answer": 20.8, - "Options": "a ) 23.75 , b ) 22 , c ) 20.8 , d ) 19.2 , e ) none of these", - "Correct": "c", - "Explanation": "\"c . p . of mixture = 80 \u00d7 15 + 20 \u00d7 20 / 80 + 20 = 16 \u2234 s . p . = ( 100 + 30 ) / 100 \u00d7 16 = 20.8 answer c\"" - }, - { - "Answer": 96.2, - "Options": "a ) 96.9 , b ) 96.3 , c ) 96.2 , d ) 96.7 , e ) 96.21", - "Correct": "c", - "Explanation": "explanation : use the formula , cp = 100 \u2013 discount + brokerage % cp = 100 - 4 + 1 / 5 96.2 thus the cp is rs 96.2 . answer : c" - }, - { - "Answer": 156.00000000000006, - "Options": "a ) 30 % , b ) 60 % , c ) 98 % , d ) 120 % , e ) 156 %", - "Correct": "e", - "Explanation": "\"let the radius of medium pizza be r . then the radius of large pizza is 1.6 r . the area of the medium pizza is pi * r ^ 2 the area of the large pizza is pi * ( 1.6 * r ) ^ 2 = 2.56 * pi * r ^ 2 , an increase of 156 % . the answer is e .\"" - }, - { - "Answer": 36, - "Options": "a ) 24 % , b ) 36 % , c ) 32 % , d ) 54 % , e ) 64 %", - "Correct": "b", - "Explanation": "\"percentage change in area = ( \u2212 20 \u2212 20 + ( 20 \u00d7 20 ) / 100 ) % = \u2212 36 % i . e . , area is decreased by 36 % answer : b\"" - }, - { - "Answer": 60, - "Options": "a ) 40 % , b ) 45 % , c ) 50 % , d ) 60 % , e ) 55 %", - "Correct": "d", - "Explanation": "\"another method to solve this question using equations : 1 kg of brand a will have 400 g millet and 600 g sunflower . 1 kg of brand b will gave 650 g millet and 350 g sunflower . suppose , x kg of brand a and y kg of brand b are in the mixture . then total weight of millet = 400 x + 650 y g total weight of mixture = 1000 x + 1000 y g given that millet is 500 % hence ( 400 x + 650 y ) / ( 1000 x + 1000 y ) = 1 / 2 or , 800 x + 1300 y = 1000 x + 1000 y or 300 y = 200 x or , x / y = 3 / 2 % of brand a = ( 3 / ( 3 + 2 ) ) * 100 = 60 % hence answer is d\"" - }, - { - "Answer": 5120, - "Options": "a ) 4300 , b ) 4500 , c ) 5120 , d ) 5230 , e ) 5366", - "Correct": "c", - "Explanation": "\"formula : ( after = 100 denominator ago = 100 numerator ) 8000 \u00d7 80 / 100 \u00d7 80 / 100 = 5120 c\"" - }, - { - "Answer": 480, - "Options": "a ) rs . 480 , b ) rs . 760 , c ) rs . 860 , d ) rs . 960 , e ) none of these", - "Correct": "a", - "Explanation": "\"explanation : here always remember , when ever x % loss , it means s . p . = ( 100 - x ) % of c . p when ever x % profit , it means s . p . = ( 100 + x ) % of c . p so here will be ( 100 - x ) % of c . p . = 80 % of 600 = 80 / 100 * 600 = 480 option a\"" - }, - { - "Answer": 0.8333333333333333, - "Options": "a ) 1 / 6 , b ) 1 / 2 , c ) 5 / 8 , d ) 5 / 6 , e ) 15 / 16", - "Correct": "d", - "Explanation": "\"x - fraction of products jane inspected ( 1 - x ) - fraction of products john inspected 0.8 ( x ) + 0.5 ( 1 - x ) = 0.75 0.3 x = 0.75 - 0.5 x = 0.25 / 0.3 x = 5 / 6 therefore the answer is d : 5 / 6 .\"" - }, - { - "Answer": 27.999999999999993, - "Options": "a ) 13 % , b ) 14 % , c ) 18 % , d ) 20 % , e ) 28 %", - "Correct": "e", - "Explanation": "let original length = x and original breadth = y . decrease in area = xy - ( 80 / 100 * x * 90 / 100 * y ) = ( xy - 18 / 25 * xy ) = 7 / 25 * xy . decrease % = ( 7 / 25 * xy * 1 / xy * 100 ) % = 28 % . answer is e" - }, - { - "Answer": 4, - "Options": "a ) 4 % , b ) 74 % , c ) 64 % , d ) 74 % , e ) 94 %", - "Correct": "a", - "Explanation": "let sum = x . then , s . i . = 2 x / 5 , time = 10 years . rate = ( 100 * 2 x ) / ( x * 5 * 10 ) = 4 % answer : a" - }, - { - "Answer": 25, - "Options": "a ) 27 % , b ) 20 % , c ) 80 % , d ) 30 % , e ) 25 %", - "Correct": "e", - "Explanation": "\"900 - - - - 225 100 - - - - ? = > 25 % answer : e\"" - }, - { - "Answer": 80, - "Options": "a ) 80 sec , b ) 45 sec , c ) 1 min , d ) 32 sec , e ) 25 sec", - "Correct": "a", - "Explanation": "\"speed = 9 km / hr = 9 * 5 / 18 = 5 / 2 m / sec distance = 50 * 4 = 200 m time taken = 200 * 2 / 5 = 80 sec answer is a\"" - }, - { - "Answer": 780, - "Options": "a ) 343 , b ) 777 , c ) 780 , d ) 867 , e ) 232", - "Correct": "c", - "Explanation": "\"if mike had scored 22 marks more , he could have scored 30 % therefore , mike required 212 + 22 = 234 marks let the maximum marks be m . then 30 % of m = 234 ( 30 / 100 ) \u00d7 m = 234 m = ( 234 \u00d7 100 ) / 30 m = 23400 / 30 m = 780 answer : c\"" - }, - { - "Answer": 430, - "Options": "a ) 430 , b ) 438 , c ) 436 , d ) 434 , e ) 422", - "Correct": "a", - "Explanation": "\"let the total number of valid votes be x . 70 % of x = 70 / 100 * x = 7 x / 10 number of votes secured by the other candidate = x - 7 x / 100 = 3 x / 10 given , 7 x / 10 - 3 x / 10 = 172 = > 4 x / 10 = 172 = > 4 x = 1720 = > x = 430 . answer : a\"" - }, - { - "Answer": 280, - "Options": "a ) 280 , b ) 288 , c ) 279 , d ) 277 , e ) 290", - "Correct": "a", - "Explanation": "\"54 % 104 % - - - - - - - - 50 % - - - - 140 100 % - - - - ? = > rs . 280 answer : a\"" - }, - { - "Answer": 36.5, - "Options": "a ) 27.5 % , b ) 30 % , c ) 35 % , d ) 36.5 % , e ) 40 %", - "Correct": "d", - "Explanation": "\"assume the total price = 100 x price after 20 % markup = 120 x price after 25 % further markup = 1.25 * 120 x = 150 x price after the discount = 0.91 * 150 x = 136.5 x hence total profit = 36.5 % option d\"" - }, - { - "Answer": 1232, - "Options": "a ) s . 1090 , b ) s . 1160 , c ) s . 1232 , d ) s . 1202 , e ) s . 1204", - "Correct": "c", - "Explanation": "\"since , c . p = 1400 loss % = ( c . p - s . p ) / c . p * 100 12 = ( 1400 - s . p ) / 1400 * 100 so , after solving answer = 1232 . answer : c\"" - }, - { - "Answer": 59, - "Options": "a ) rs . 40 , b ) rs . 50 , c ) rs . 49 , d ) rs . 59 , e ) none of these", - "Correct": "d", - "Explanation": "\"s . p 1 - c . p = c . p \u2013 s . p 2 66 - c . p = c . p - 52 2 c . p = 66 + 52 ; c . p = 118 / 2 = 59 answer : d\"" - }, - { - "Answer": 800, - "Options": "a ) 800 , b ) 900 , c ) 1000 , d ) 1100 , e ) 1200", - "Correct": "a", - "Explanation": "\"let v be the total number of votes . 0.3 v = 240 v = 800 the answer is a .\"" - }, - { - "Answer": 86.66666666666666, - "Options": "a ) 10 % , b ) 33.33 % , c ) 40 % , d ) 86.66 % , e ) 66.66 %", - "Correct": "d", - "Explanation": "- - - - - - - - - - - - - - - - > ryegrass x - - - - - - - - - - - - - - > 40 % y - - - - - - - - - - - - - - > 25 % m ( mixture ) - - - - > 38 % 0.4 x + ( m - x ) 0.25 = 0.38 m 0.15 x = 0.13 m x = 0.8666 m x = 86.66 % of m d" - }, - { - "Answer": 1332.5, - "Options": "a ) rs . 1178.55 , b ) rs . 1978.25 , c ) rs . 1332.5 , d ) rs . 1678 , e ) rs . 1675.55", - "Correct": "c", - "Explanation": "\"( x * 5 * 3 ) / 100 = ( ( 2665 - x ) * 3 * 5 ) / 100 15 x / 100 = 39975 / 100 - 15 x / 100 30 x = 39975 = > x = 1332.5 second sum = 2665 \u2013 1025 = 1332.5 answer : c\"" - }, - { - "Answer": 5000, - "Options": "a ) 30,000 , b ) 5,000 , c ) 80,000 , d ) 120,000 , e ) none", - "Correct": "b", - "Explanation": "sol . a : b : c = 5000 : 15000 : 30000 = 1 : 3 : 6 . so , c \u00e2 \u20ac \u2122 s share : total profit = 6 : 10 let the total profit be rs . x . then , 6 / 10 = 3000 / x or x = 3000 * 10 / 6 = 5000 . answer b" - }, - { - "Answer": 5000, - "Options": "a ) $ 4600 , b ) $ 4800 , c ) $ 5000 , d ) $ 5200 , e ) $ 5400", - "Correct": "c", - "Explanation": "\"let x be the amount of money we started with . 0.7 x = 3500 x = 5000 the answer is c .\"" - }, - { - "Answer": 2.0408163265306123, - "Options": "a ) 4.07 % , b ) 4 % , c ) 2.7 % , d ) 2.04 % , e ) 2.08 %", - "Correct": "d", - "Explanation": "\"sol . sp = rs 100 : then cp = rs 98 : profit = rs 2 . profit = { ( 2 / 98 ) * 100 } % = 2.04 % answer is d .\"" - }, - { - "Answer": 429, - "Options": "a ) 429 , b ) 280 , c ) 360 , d ) 450 , e ) none", - "Correct": "a", - "Explanation": "sol . sum = b . d . * t . d . / b . d . - t . d . = rs . [ 78 * 66 / 78 - 66 ] = rs . [ 78 * 66 / 12 ] = rs . 429 answer a" - }, - { - "Answer": 6.000000000000009, - "Options": "a ) 6 , b ) 6.6 , c ) 60 , d ) 100 , e ) 110", - "Correct": "a", - "Explanation": "[ reveal ] spoiler : timeg : 660 / x timea : [ 660 / x + 10 ] 660 / x = [ 660 / x + 10 ] * 110 / 100 660 / x = 66 * 11 / x + 10 660 x + 10 = 66 * 11 * x 660 x + 6600 = 66 * 11 * x x = 100 plug in back to timea 660 / 100 + 10 = > 660 / 110 = 6" - }, - { - "Answer": 9, - "Options": "a ) 9.4 % , b ) 9.6 % , c ) 9 % , d ) 9.8 % , e ) 10 %", - "Correct": "c", - "Explanation": "\"the amount of chromium in the new 10 + 30 = 40 kg alloy is 0.12 * 10 + 0.08 * 30 = 3.6 kg , so the percentage is 3.6 / 40 * 100 = 9 % . answer : c\"" - }, - { - "Answer": 6240, - "Options": "a ) 3488 , b ) 6240 , c ) 2776 , d ) 2889 , e ) 7721", - "Correct": "b", - "Explanation": "\"explanation : to obtain rs . 10 , investment = rs . 96 . to obtain rs . 650 , investment = = rs . 6240 answer : b ) 6240\"" - }, - { - "Answer": 20, - "Options": "a ) - 10 % , b ) 10 % , c ) 15 % , d ) 20 % , e ) 25 %", - "Correct": "d", - "Explanation": "here 10 articles selling price = 12 articles cost price so the difference = 12 - 10 = 2 % of profit = 2 * 100 / 10 = 20 % correct option is d" - }, - { - "Answer": 90, - "Options": "a ) 8 \u00b0 , b ) 90 \u00b0 , c ) 18 \u00b0 , d ) 36 \u00b0 , e ) 52 \u00b0", - "Correct": "b", - "Explanation": "\"14 % microphotonics ; 19 % home electronics ; 10 % food additives ; 24 % genetically modified microorganisms ; 8 % industrial lubricants ; 100 - ( 14 + 19 + 10 + 24 + 8 ) = 25 % basic astrophysics . 25 % of 360 \u00b0 is 90 \u00b0 . answer : b .\"" - }, - { - "Answer": 906, - "Options": "a ) 706 , b ) 786 , c ) 906 , d ) 896 , e ) 696", - "Correct": "c", - "Explanation": "\"let c . p = rs . x then as given , ( 753 - x ) = ( x - 455 ) 2 x = 1208 x = 604 there fore s . p = 150 % of 604 = > rs . = rs . 906 answer : c\"" - }, - { - "Answer": 1806, - "Options": "a ) 1240 , b ) 1120 , c ) 1190 , d ) 1806 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : td = ( bg \u00d7 100 ) / tr = ( 756 \u00d7 100 ) / ( 6 \u00d7 12 ) = rs . 1050 bg = bd \u2013 td = > 756 = bd - 1050 = > bd = 1050 + 756 = 1806 answer : option d\"" - }, - { - "Answer": 420, - "Options": "a ) a ) 140 , b ) b ) 420 , c ) c ) 180 , d ) d ) 200 , e ) e ) 220", - "Correct": "b", - "Explanation": "\"explanation : ( 1 / 4 ) * ( 1 / 3 ) * ( 2 / 5 ) * x = 35 then x = 35 * 30 = 1050 40 % of 1050 = 420 answer : option b\"" - }, - { - "Answer": 1125, - "Options": "a ) 1125 , b ) 1225 , c ) 1325 , d ) 1145 , e ) 2125", - "Correct": "a", - "Explanation": "\"( 25000 * 1.5 * 3 ) / 100 = > 1125 answer : a\"" - }, - { - "Answer": 40, - "Options": "a ) 35 % , b ) 40 % , c ) 45 % , d ) 50 % , e ) 55 %", - "Correct": "b", - "Explanation": "50 / 125 \u00d7 100 = 50 % answer : b" - }, - { - "Answer": 12, - "Options": "a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13", - "Correct": "d", - "Explanation": "\"man ' s rate in still water = ( 22 - 5 ) km / hr = 17 km / hr . man ' s rate against the current = ( 17 - 5 ) km / hr = 12 km / hr . answer : d\"" - }, - { - "Answer": 500, - "Options": "a ) 800 , b ) 600 , c ) 500 , d ) 1000 , e ) 300", - "Correct": "c", - "Explanation": "\"sol . principal = rs . [ 100 * 100 / 5 * 4 ] = rs . [ 10000 / 20 ] = rs . 500 . answer c\"" - }, - { - "Answer": 90, - "Options": "a ) 50 , b ) 40 , c ) 90 , d ) 60 , e ) 20", - "Correct": "c", - "Explanation": "let x be the original price . x - 20 = 70 x - 20 + 20 = 70 + 20 x + 0 = 90 x = 90 answer is c" - }, - { - "Answer": 200, - "Options": "a ) 270 , b ) 380 , c ) 200 , d ) 360 , e ) 290", - "Correct": "c", - "Explanation": "\"explanation : 40 % = 40 * 4 = 160 50 % = 50 * 4 = 200 answer : option c\"" - }, - { - "Answer": 4, - "Options": "a ) 1 kmph , b ) 4 kmph , c ) 98 kmph , d ) 6 kmph , e ) 4 kmph", - "Correct": "e", - "Explanation": "\"ds = 12 s = ? s = ( 12 - 4 ) / 2 = 4 kmph answer : e\"" - }, - { - "Answer": 0.40000000000000013, - "Options": "a ) $ 0.32 , b ) $ 0.40 , c ) $ 0.45 , d ) $ 0.48 , e ) $ 0.54", - "Correct": "b", - "Explanation": "\"if steve and dinley submit separate orders , each would be smaller than 100 photocopies , so no discount . each would pay ( 80 ) * ( $ 0.02 ) = $ 1.60 , or together , a cost of $ 3.20 - - - that ' s the combinedno discount cost . if they submit things together as one big order , they get a discount off of that $ 3.20 price - - - - 25 % or 1 / 4 of that is $ 0.80 , the discount on the combined sale . they each effective save half that amount , or $ 0.40 . answer = ( b ) .\"" - }, - { - "Answer": 23.456790123456788, - "Options": "a ) 22.45 , b ) 23.45 , c ) 32.45 , d ) 23.54 , e ) 23.55", - "Correct": "b", - "Explanation": "selling price = rs 100 : then cost price = rs 81 : profit = rs 19 . profit = { ( 19 / 81 ) * 100 } % = 23.45 % answer is b ." - }, - { - "Answer": 0.5714285714285714, - "Options": "a ) 4 / 25 , b ) 8 / 23 , c ) 2 / 5 , d ) 8 / 14 , e ) 2 / 3", - "Correct": "d", - "Explanation": "\"let there be 100 books in all historic fiction books = 40 % of total = 40 other books = 60 new historic fiction = 40 % of 40 = 16 other new books = 20 % of 60 = 12 total new books = 28 fraction = 16 / 28 = 8 / 14 ans : d\"" - }, - { - "Answer": 79.99999999999773, - "Options": "a ) 26 , b ) 28 , c ) 80 , d ) 26 , e ) 21", - "Correct": "c", - "Explanation": "\"let c . p . of clock be rs . x . then , c . p . of 90 clocks = rs . 90 x . [ ( 110 % of 40 x ) + ( 120 % of 50 x ) ] - ( 115 % of 90 x ) = 40 44 x + 60 x - 103.5 x = 40 0.5 x = 40 = > x = 80 answer : c\"" - }, - { - "Answer": 10, - "Options": "a ) 10 , b ) 20 , c ) 50 , d ) 30 , e ) 40", - "Correct": "a", - "Explanation": "\"man ' s speed with the current = 15 km / hr = > speed of the man + speed of the current = 15 km / hr speed of the current is 2.5 km / hr hence , speed of the man = 15 - 2.5 = 12.5 km / hr man ' s speed against the current = speed of the man - speed of the current = 12.5 - 2.5 = 10 km / hr answer is a .\"" - }, - { - "Answer": 12.399999999999999, - "Options": "a ) 9.2 , b ) 10.3 , c ) 11.5 , d ) 12.4 , e ) 13", - "Correct": "d", - "Explanation": "\"man ' s rate in still water = ( 21 - 4.3 ) km / hr = 16.7 km / hr . man ' s rate against the current = ( 16.7 - 4.3 ) km / hr = 12.4 km / hr . answer : d\"" - }, - { - "Answer": 315, - "Options": "a ) 300 , b ) 315 , c ) 330 , d ) 345 , e ) 360", - "Correct": "b", - "Explanation": "pencil + notebook = 80 notebook + eraser = 85 pencil + eraser = 45 let ' s add all three equations . 2 pencils + 2 notebooks + 2 erasers = 210 cents the cost to buy 3 of each would be ( 3 / 2 ) ( 210 ) = 315 the answer is b ." - }, - { - "Answer": 1050, - "Options": "a ) s . 1050 , b ) s . 1160 , c ) s . 1190 , d ) s . 1202 , e ) s . 1204", - "Correct": "a", - "Explanation": "\"since , c . p = 1400 loss % = ( c . p - s . p ) / c . p * 100 25 = ( 1400 - s . p ) / 1400 * 100 so , after solving answer = 1050 . answer : a\"" - }, - { - "Answer": 7.00000000000001, - "Options": "a ) 5 , b ) 7 , c ) 9 , d ) 10 , e ) 12", - "Correct": "b", - "Explanation": "\"machine b : takes x hours to produce 770 sprockets machine a : takes ( x + 10 ) hours to produce 770 sprockets machine b : in 1 hour , b makes 770 / x sprockets machine a : in 1 hour , a makes 770 / ( x + 10 ) sprockets equating : 1.1 ( 770 / ( x + 10 ) ) = 770 / x 847 / ( x + 10 ) = 770 / x 847 x = 770 x + 7700 77 x = 7700 x = 100 a makes 770 / ( 110 ) = 7 sprockets per hour answer : b\"" - }, - { - "Answer": 9, - "Options": "a ) 3 , b ) 4 , c ) 6 , d ) 9 , e ) 12", - "Correct": "d", - "Explanation": "\"yes there is a typo in the question , i got the same ques on my gmat prep last week , and the questions goes as : a company has two types of machines , type r and type s . operating at a constant rate a machine of r does a certain job in 36 hours and a machine of type s does the job in 36 hours . if the company used the same number of each type of machine to do job in 2 hours , how many machine r were used ? so for a job to be done in 2 hours r = 1 / 2 r _ a ( rate of machine r ) = 1 / 36 r _ s ( rate of machine s ) = 1 / 36 lets say x machines are used to attain the desired rate , thus x / 36 + x / 36 = 1 / 2 ( desired r = 1 / 2 i . e . to complete the job in 2 hours ) ( x + x ) / 36 = 1 / 2 2 x / 36 = 1 / 2 x = 9 . qa = 9 ( answer d )\"" - }, - { - "Answer": 50561.79775280899, - "Options": "a ) rs . 25561.80 , b ) rs . 37500.80 , c ) rs . 50561.80 , d ) rs . 60000 , e ) none of these", - "Correct": "c", - "Explanation": "explanation : s . p = rs . 54,000 . gain earned = 20 % c . p = rs . [ 100 / 120 \u00e3 \u2014 54000 ] = rs . 45000 this is the price the first person sold to the second at at loss of 11 % . now s . p = rs . 45000 and loss = 11 % c . p . rs . [ 100 / 89 \u00e3 \u2014 45000 ] = rs . 50561.80 . correct option : c" - }, - { - "Answer": 2500, - "Options": "a ) 1200 , b ) 2400 , c ) 1400 , d ) 2500 , e ) none of these", - "Correct": "d", - "Explanation": "explanation : it means that 0.08 % of x = 2 = > ( 8 / 100 \u00d7 100 \u00d7 x ) = 2 = > x = 2 \u00d7 100 \u00d7 100 / 8 = > x = 2500 option d" - }, - { - "Answer": 69.00000000000001, - "Options": "a ) 31.25 , b ) 37.5 , c ) 50.0 , d ) 52.5 , e ) 69.0", - "Correct": "e", - "Explanation": "\"we ' re told that the original price of an item is increased by 30 % and then that price is increased by 30 % . . . . if . . . . starting value = $ 100 + 30 % = 100 + . 30 ( 100 ) = 130 + 30 % = 130 + . 30 ( 130 ) = 130 + 39 = 169 the question asks how the final price relates to the original price . this is essentially about percentage change , which means we should use the percentage change formula : percentage change = ( new - old ) / old = difference / original doing either calculation will yield the same result : 59 / 100 = 69 % final answer : e\"" - }, - { - "Answer": 55, - "Options": "a ) 55 % , b ) 60 % , c ) 65 % , d ) 75 % , e ) none .", - "Correct": "a", - "Explanation": "fail in english = 100 - 63 = 37 % fail in maths = 100 - 65 = 35 % so pass % = 100 - ( 37 + 35 - 27 ) = 55 % answer : a" - }, - { - "Answer": 1900, - "Options": "a ) 2998 , b ) 1900 , c ) 2788 , d ) 2662 , e ) 1122", - "Correct": "b", - "Explanation": "65 * 6 : 84 * 5 : 100 * 3 26 : 28 : 20 c share = 74000 * 95 / 100 = 7030 * 20 / 74 = > 1900 answer : b" - }, - { - "Answer": 440, - "Options": "a ) $ 460 , b ) $ 510 , c ) $ 440 , d ) $ 500 , e ) $ 550", - "Correct": "c", - "Explanation": "\"rate = 20 % time = 2 years s . i . = $ 400 principal = 100 * 400 / 20 * 2 = $ 1000 amount = 1000 ( 1 + 20 / 100 ) ^ 2 = $ 1440 c . i . = 1440 - 1000 = $ 440 answer is c\"" - }, - { - "Answer": 1078.9473684210527, - "Options": "a ) 1400 , b ) 1079 , c ) 1200 , d ) 1023 , e ) 1523", - "Correct": "b", - "Explanation": "\"cp * ( 76 / 100 ) = 820 cp = 10.78 * 100 = > cp = 1079 answer : b\"" - }, - { - "Answer": 12499.999999999998, - "Options": "a ) 12500 , b ) 20000 , c ) 20289 , d ) 20027 , e ) 20026", - "Correct": "a", - "Explanation": "\"let the total worth of the stock be rs . x . the sp of 20 % of the stock = 1 / 5 * x * 1.1 = 11 x / 50 the sp of 80 % of the stock = 4 / 5 * x * 0.95 = 19 x / 25 = 38 x / 50 total sp = 11 x / 50 + 38 x / 50 = 49 x / 50 overall loss = x - 49 x / 50 = x / 50 x / 50 = 250 = > x = 12500 answer : a\"" - }, - { - "Answer": 72, - "Options": "a ) 8 \u00b0 , b ) 10 \u00b0 , c ) 18 \u00b0 , d ) 36 \u00b0 , e ) 72 \u00b0", - "Correct": "e", - "Explanation": "\"14 % microphotonics ; 24 % home electronics ; 15 % food additives ; 19 % genetically modified microorganisms ; 8 % industrial lubricants ; 100 - ( 14 + 24 + 15 + 19 + 8 ) = 20 % basic astrophysics . 10 % of 360 \u00b0 is 72 \u00b0 . answer : e .\"" - }, - { - "Answer": 550, - "Options": "a ) 550 , b ) 744 , c ) 255 , d ) 199 , e ) 231", - "Correct": "a", - "Explanation": "\"w = 55 % l = 45 % 55 % - 45 % = 10 % 10 % - - - - - - - - 100 55 % - - - - - - - - ? = > 550 answer : a\"" - }, - { - "Answer": 8, - "Options": "a ) 10 sec , b ) 8 sec , c ) 9 sec , d ) 7 sec , e ) 12 sec", - "Correct": "b", - "Explanation": "\"explanation : time taken to cover the entire length = tot . dist / resultant speed = 160 / ( 12 + 8 ) = 8 sec answer : b\"" - }, - { - "Answer": 4099.999999999999, - "Options": "a ) s . 5000 , b ) s . 5100 , c ) s . 5800 , d ) s . 6000 , e ) s . 4100", - "Correct": "e", - "Explanation": "\"p ( r / 100 ) ^ 2 = c . i - s . i p ( 10 / 100 ) ^ 2 = 41 4100 answer : e\"" - }, - { - "Answer": 0.32, - "Options": "a ) 0.125 % , b ) 0.32 % , c ) 0.8 % , d ) 1.25 % , e ) 2.0 %", - "Correct": "b", - "Explanation": "\"percent of defective produced = 8 % percent of the defective units that are shipped for sale = 4 % percent of units produced are defective units that are shipped for sale = ( 4 / 100 ) * ( 8 / 100 ) * 100 % = ( 32 / 10000 ) * 100 % = ( 32 / 100 ) % = . 32 % answer b\"" - }, - { - "Answer": 4, - "Options": "a ) 4 % decrease , b ) 8 % decrease , c ) 4 % increase , d ) 8 % increase , e ) no change", - "Correct": "a", - "Explanation": "\"let x be the original salary . the final salary is 0.8 ( 1.2 x ) = 0.96 x the answer is a .\"" - }, - { - "Answer": 2600, - "Options": "a ) 2000 , b ) 2600 , c ) 2200 , d ) 2300 , e ) 2400", - "Correct": "b", - "Explanation": "\"1 percent for 3 years = 78 1 percent for 1 year = 26 = > 100 percent = 2600 answer : b\"" - }, - { - "Answer": 1.9599999999999975, - "Options": "a ) 1.96 % , b ) 2.56 % , c ) 3.12 % , d ) 4.65 % , e ) 5.12 %", - "Correct": "a", - "Explanation": "\"in such a case there is always a loss loss % = ( 14 / 10 ) ^ 2 = 49 / 25 = 1.96 % answer is a\"" - }, - { - "Answer": 2678.5714285714284, - "Options": "a ) $ 2678 , b ) $ 2464 , c ) $ 2650 , d ) $ 2732 , e ) $ 2800", - "Correct": "a", - "Explanation": "1.4 x = 2500 x = 2500 / 1.4 so , 1.5 x = 2500 * 1.5 / 1.4 = 2478 answer : - a" - }, - { - "Answer": 20, - "Options": "a ) 10 % , b ) 20 % , c ) 35 % , d ) 40 % , e ) 50 %", - "Correct": "b", - "Explanation": "\"explanation : change in the price = rs 360 \u2013 rs 300 = rs 60 percentage of increase = change in the price initial price * 100 . percentage increase in price = ( 60 300 ) * 100 = 20 % b\"" - }, - { - "Answer": 10.92, - "Options": "a ) 1.2 , b ) 10.92 , c ) 12.98 , d ) 12.38 , e ) none", - "Correct": "b", - "Explanation": "\"sol . s . i . = rs . [ 26 * 7 / 100 * 6 ] = rs . 10.92 answer b\"" - }, - { - "Answer": 82, - "Options": "a ) 82 % , b ) 8.2 % , c ) 0.82 % , d ) 0.082 % , e ) 0.0082 %", - "Correct": "a", - "Explanation": "\"here in question it is asking $ . 82 is what percent of $ 100 . suppose $ . 82 is x % of 100 means 100 * ( x / 100 ) = 82 hence x = 82 % so answer is a\"" - }, - { - "Answer": 1.0164705882352942, - "Options": "a ) $ 0.94 , b ) $ 0.96 , c ) $ 0.98 , d ) $ 1.02 , e ) $ 1.20", - "Correct": "d", - "Explanation": "\"assume the manager bought 100 tomatoes . cost price = 80 given : 15 % are damaged - - > available tomatoes to sell = 85 85 * x - 80 = 0.08 * 80 85 x - 80 = 6.4 85 x = 86.64 x = 86.64 / 85 = 87 / 85 ( approx ) = 1.023 x is slightly under 1.023 = 1.02 answer : d\"" - }, - { - "Answer": 30, - "Options": "a ) 30 % , b ) 40 % , c ) 50 % , d ) 60 % , e ) 75 %", - "Correct": "a", - "Explanation": "original sp = x cost = c current selling price = . 9 x ( 10 % discount ) . 9 x = 1.2 c ( 20 % profit ) x = 1.2 / . 9 * c x = 4 / 3 c original selling price is 1.3 c which is 30 % profit answer a" - }, - { - "Answer": 10.1, - "Options": "a ) 8.8 % , b ) 9 % , c ) 10.1 % , d ) 8.6 % , e ) 8.4 %", - "Correct": "c", - "Explanation": "\"the amount of chromium in the new 15 + 35 = 50 kg alloy is 0.15 * 15 + 0.08 * 35 = 5.05 kg , so the percentage is 5.05 / 50 * 100 = 10.1 % . answer : c .\"" - }, - { - "Answer": 82.80000000000001, - "Options": "a ) 80.0 , b ) 80.9 , c ) 81.0 , d ) 81.1 , e ) 82.8", - "Correct": "e", - "Explanation": "consider price of the all items as $ 100 after a initial reduction of 8 % price becomes = 0.92 * 100 = $ 92 after the final reduction of 10 % price becomes = 0.9 * 92 = $ 82.8 price of all items on second day is 82.8 % of price on first day correct answer option e" - }, - { - "Answer": 69.99999999999999, - "Options": "a ) 70 % , b ) 105 % , c ) 120 % , d ) 124.2 % , e ) 138 %", - "Correct": "a", - "Explanation": "\"0,07 r = x / 100 * 0.1 r answer a\"" - }, - { - "Answer": 160.00000000000003, - "Options": "a ) 100 marks , b ) 200 marks , c ) 160 marks , d ) 371 marks , e ) 827 marks", - "Correct": "c", - "Explanation": "\"40 % - - - - - - - - - - - - 40 60 % - - - - - - - - - - - - 20 - - - - - - - - - - - - - - - - - - - - - - 20 % - - - - - - - - - - - - - 60 40 % - - - - - - - - - - - - - - ? 120 + 40 = 160 marks answer : c\"" - }, - { - "Answer": 18, - "Options": "a ) 18 , b ) 20 , c ) 24 , d ) 36 , e ) 42", - "Correct": "a", - "Explanation": "let a = amount of 2 % acid and b = amount of 12 % acid . now , the equation translates to , 0.02 a + . 12 b = . 05 ( a + b ) but a + b = 60 therefore . 02 a + . 12 b = . 05 ( 60 ) = > 2 a + 12 b = 300 but b = 60 - a therefore 2 a + 12 ( 60 - a ) = 300 = > 10 a = 420 hence a = 42 . , b = 60 - 42 = 18 answer : a" - }, - { - "Answer": 512, - "Options": "a ) 228 , b ) 480 , c ) 512 , d ) 288 , e ) 276", - "Correct": "c", - "Explanation": "sp = 800 profit = 25 % cp = ( sp ) * [ 100 / ( 100 + p ) ] = 800 * [ 100 / 125 ] = 640 loss = 25 % = 25 % of 640 = rs . 128 sp = cp - loss = 640 - 128 = rs . 512 answer : c" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 16 % , b ) 16.66 % , c ) 18 % , d ) 21 % , e ) 33.33 %", - "Correct": "e", - "Explanation": "\"increase = ( 10 / 30 ) * 100 = 33.33 % . e\"" - }, - { - "Answer": 80, - "Options": "a ) 40 , b ) 60 , c ) 80 , d ) 100 , e ) 120", - "Correct": "c", - "Explanation": "\"the total number of books is 150 . let x be the number of books which were loaned out . 65 % of books that were loaned out are returned . 35 % of books that were loaned out are not returned . now , there are 122 books , thus the number of un - returned books is 150 - 122 = 28 books . 0.35 x = 28 x = 80 the answer is c .\"" - }, - { - "Answer": 50.5, - "Options": "a ) 50 , b ) 50.5 , c ) 56 , d ) 60 , e ) 63", - "Correct": "b", - "Explanation": "word problems are tricky in somehow more than other problem because you have the additional step to translate . breaking the problem : geoff how many votes he receives ? ? 30 votes he needs 3571 more votes so : 30 + 3000 = 3030 now what ' s the problem wants ? ? a x % . . . . . . . . 3030 is what % of total votes 6000 . . . . . . . . translating : 3030 = x / 100 * 6000 - - - x = 50.5 % . . . . . . . . . . b" - }, - { - "Answer": 3599.999999999999, - "Options": "a ) s . 5000 , b ) s . 5100 , c ) s . 5800 , d ) s . 6000 , e ) s . 3600", - "Correct": "e", - "Explanation": "\"p ( r / 100 ) ^ 2 = c . i - s . i p ( 10 / 100 ) ^ 2 = 36 3600 answer : e\"" - }, - { - "Answer": 18.999999999999993, - "Options": "a ) 26 , b ) 37.5 , c ) 42 , d ) 19 , e ) 50", - "Correct": "d", - "Explanation": "\"answer : d = 19 . assume rs . 100 to be the price at which the retailer buys from wholesaler . 70 % increase makes retail price = 170 . now 30 % decrease - > ( 1 - 30 / 100 ) * 170 = 119 . now compared to the wholesale price of 100 , 19 % increase is what will have the same effect as increasing the wholesale price .\"" - }, - { - "Answer": 2.0000000000000027, - "Options": "a ) 5 , b ) 2 , c ) 55 , d ) 95 , e ) 125", - "Correct": "b", - "Explanation": "\"p makes x sprockets per hour . then q makes 1.1 x sprockets per hour . 220 / x = 220 / 1.1 x + 10 1.1 ( 220 ) = 220 + 11 x 11 x = 22 x = 2 the answer is b .\"" - }, - { - "Answer": 88, - "Options": "a ) $ 77.40 , b ) $ 80.00 , c ) $ 83.64 , d ) $ 87.40 , e ) $ 88.00", - "Correct": "e", - "Explanation": "given that { cost of the product } * 1.15 = $ 92 - - > { cost of the product } = $ 80 . the old price was $ 80 * 1.1 = $ 88 . answer : e ." - }, - { - "Answer": 47, - "Options": "a ) 50 % , b ) 53 % , c ) 54 % , d ) 55 % , e ) 47 %", - "Correct": "e", - "Explanation": "\"say there are total of 100 registered voters in that city . thus 60 are democrats and 40 are republicans . 60 * 0.65 = 39 democrats are expected to vote for candidate a ; 40 * 0.20 = 8 republicans are expected to vote for candidate a . thus total of 39 + 8 = 47 registered voters are expected to vote for candidate a , which is 47 % of the total number of registered voters . answer : e .\"" - }, - { - "Answer": 120, - "Options": "a ) 81 , b ) 100 , c ) 120 , d ) 135 , e ) 160", - "Correct": "c", - "Explanation": "\"since the wholesale price was $ 90 and the profit was 20 % of the wholesale price ( [ . 2 ] [ 90 ] = $ 18 ) , the retail price would have to be above $ 108 , but not that much greater than that . let ' s start by testing answer c : $ 120 . . . . if . . . . . retail price t = $ 120 10 % discount off = $ 120 - ( . 1 ) ( 120 ) = 120 - 12 = 108 20 % profit on wholesale price = 90 + ( . 2 ) ( 90 ) = 90 + 18 = 108 these two numbers match , so this must be the answer ! final answer : [ reveal ] spoiler : c\"" - }, - { - "Answer": 111.99999999999997, - "Options": "a ) 80 , b ) 95 , c ) 105 , d ) 112 , e ) 210", - "Correct": "d", - "Explanation": "\"set up equation : x = total number of workers 128 = 0,4 * 2 / 3 * x + 0,8 * 1 / 3 * x 128 = 16 / 30 x x = 240 240 - 128 = 112 answer d\"" - }, - { - "Answer": 224.13793103448276, - "Options": "a ) 182 , b ) 208 , c ) 220 , d ) 224 , e ) 302", - "Correct": "d", - "Explanation": "\"if x is the original number of employees , then after 13 % reduction in employees number is . 87 x but we are given . 87 x = 195 x = 224 so the original number of employees is 224 correct answer - d\"" - }, - { - "Answer": 640, - "Options": "a ) 640 , b ) 278 , c ) 800 , d ) 267 , e ) 121", - "Correct": "a", - "Explanation": "\"( 50 / 100 ) * x \u00e2 \u20ac \u201c ( 20 / 100 ) * 650 = 190 1 / 2 x = 320 x = 640 answer : a\"" - }, - { - "Answer": 750, - "Options": "a ) rs . 750 , b ) rs . 700 , c ) rs . 820 , d ) rs . 940 , e ) rs . 900", - "Correct": "a", - "Explanation": "\"explanation : let the sub be rs . x and the initial rate be r % . then x \u00d7 ( r + 4 ) \u00d7 2 / 100 \u2212 x \u00d7 r \u00d7 2 / 100 = 60 \u21d2 x \u00d7 4 \u00d7 2 / 100 = 60 \u21d2 x \u00d7 2 / 100 = 15 \u21d2 2 x = 1500 \u21d2 x = 750 answer : option a\"" - }, - { - "Answer": 72, - "Options": "a ) 52 sec , b ) 45 sec , c ) 72 sec , d ) 25 sec , e ) 39 sec", - "Correct": "c", - "Explanation": "\"speed = 10 km / hr = 10 * 5 / 18 = 25 / 9 m / sec distance = 50 * 4 = 200 m time taken = 200 * 9 / 25 = 72 sec answer is c\"" - }, - { - "Answer": 50, - "Options": "a ) 10.5 % , b ) 12.5 % , c ) 15 % , d ) 22 % , e ) 50 %", - "Correct": "e", - "Explanation": "\"suppose there are x motorists . 40 % of them exceeded the speed limit and received the ticket , i . e . 2 x / 5 . again , suppose total no . of motorists who exceeded the speed limit are y . 20 % of y exceeded the speed limit but did n ' t received the ticket , i . e . y / 5 . it means 4 y / 5 received the ticket . hence , 4 y / 5 = 2 x / 5 or y / x = 1 / 2 or y / x * 100 = 1 / 2 * 100 = 50 % e\"" - }, - { - "Answer": 1800, - "Options": "a ) rs . 880 , b ) rs . 890 , c ) rs . 1800 , d ) rs . 900 , e ) none", - "Correct": "c", - "Explanation": "\"let p = principal a - amount we have a = p ( 1 + r / 100 ) 3 and ci = a - p atq 993 = p ( 1 + r / 100 ) 3 - p ? p = 3000 / - now si @ 10 % on 3000 / - for 6 yrs = ( 3000 x 10 x 6 ) / 100 = 1800 / - answer : c .\"" - }, - { - "Answer": 12.087312414733969, - "Options": "a ) 12.05 % , b ) 5 % , c ) 13.05 % , d ) 22.05 % , e ) 18.05 %", - "Correct": "a", - "Explanation": "s . i . for 3 years = ( 12015 - 9800 ) = rs . 2215 s . i . for 5 years = rs . 2215 / 3 * 5 = rs . 3691 . principal = ( 9800 - 3675 ) = rs . 6108 hence , rate = ( 100 * 3691 ) / ( 6125 * 5 ) = 12.05 % answer : a" - }, - { - "Answer": 2000, - "Options": "a ) $ 600 , b ) $ 800 , c ) $ 1,000 , d ) $ 1,600 , e ) $ 2,000", - "Correct": "e", - "Explanation": "\"let total rent the motel charge for all rooms = x if 10 rooms that were rented for 60 $ had instead been rented for 40 $ , then total difference in prices = 20 $ * 10 = 200 $ total rent the motel charged would have been reduced by 10 % . 10 x = 200 = > x = 2000 answer e\"" - }, - { - "Answer": 40.8, - "Options": "a ) 40.8 , b ) 19.75 , c ) 20.75 , d ) 21.75 , e ) 22.75", - "Correct": "a", - "Explanation": "\"60 * 84 / 100 = 50.40 lit milk that is 9.60 lit water let x lit water will be added then ( 60 + x ) * 50 / 100 = 50.40 so x = 40.8 answer : a\"" - }, - { - "Answer": 10815.834432633617, - "Options": "a ) $ 10079.44 , b ) q = $ 10815.83 , c ) $ 12652.61 , d ) $ 14232.14 , e ) $ 20598.11", - "Correct": "b", - "Explanation": "\"ps . i guess one can use simple interest to solve cause the answer choices are quite spread between you can easily arrive at something near 8 % hence b the answer\"" - }, - { - "Answer": 4.000000000000005, - "Options": "a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", - "Correct": "b", - "Explanation": "\"p makes x sprockets per hour . then q makes 1.1 x sprockets per hour . 440 / x = 440 / 1.1 x + 10 1.1 ( 440 ) = 440 + 11 x 11 x = 44 x = 4 the answer is b .\"" - }, - { - "Answer": 175, - "Options": "a ) 110 , b ) 175 , c ) 212 , d ) 218 , e ) 220", - "Correct": "b", - "Explanation": "\"let the market price of each pen be $ 1 then , cost price of 100 pens = $ 36 selling price of 100 pens = 99 % of $ 100 = $ 99 profit % = ( ( 63 * 100 ) / 36 ) % = 175 % answer b\"" - }, - { - "Answer": 50, - "Options": "a ) 16 % , b ) 16.66 % , c ) 18 % , d ) 21 % , e ) 50 %", - "Correct": "e", - "Explanation": "\"increase = ( 20 / 40 ) * 100 = 50 % . e\"" - }, - { - "Answer": 400, - "Options": "a ) $ 400 , b ) $ 800 , c ) $ 1,000 , d ) $ 1,600 , e ) $ 2,400", - "Correct": "a", - "Explanation": "let total rent the motel charge for all rooms = x if 10 rooms that were rented for 60 $ had instead been rented for 50 $ , then total difference in prices = 10 $ * 10 = 100 $ total rent the motel charged would have been reduced by 25 % . 25 x = 100 = > x = 400 answer a" - }, - { - "Answer": 66.5, - "Options": "a ) 44 , b ) 45 , c ) 46 , d ) 67 , e ) 48", - "Correct": "d", - "Explanation": "- a + b + ( ( - a ) ( b ) / 100 ) = - 10 + 85 + ( - 10 * 85 ) / 100 = - 10 + 85 - 8.5 = 67 answer : d" - }, - { - "Answer": 22.448979591836732, - "Options": "a ) 22.4 % , b ) 50 % , c ) 25 % , d ) 52 % , e ) none of these", - "Correct": "a", - "Explanation": "\"explanation : cost price = ( 225 + 20 ) = 245 sell price = 300 gain = ( 55 / 245 ) * 100 = 22.4 % . answer : a\"" - }, - { - "Answer": 2500, - "Options": "a ) 1000 meters , b ) 1050 meters , c ) 1200 meters , d ) 1250 meters , e ) 2500 meters", - "Correct": "e", - "Explanation": "\"explanation : we need to get the answer in meters . so we will first of change distance from km / hour to meter / sec by multiplying it with 5 / 18 and also change 15 minutes to seconds by multiplying it with 60 . speed = 10 \u00e2 \u02c6 \u2014 5 / 18 = 25 / 9 m / sec time = 15 \u00e2 \u02c6 \u2014 60 seconds = 900 seconds distance = time \u00e2 \u02c6 \u2014 speed / distance = 25 / 9 \u00e2 \u02c6 \u2014 900 = 2500 meter option e\"" - }, - { - "Answer": 245, - "Options": "a ) 197 , b ) 245 , c ) 189 , d ) 278 , e ) 268", - "Correct": "b", - "Explanation": "\"x * ( 85 / 100 ) = ( 420 - x ) 119 / 100 x = 245 answer : b\"" - }, - { - "Answer": 55.00000000000001, - "Options": "a ) 35 % , b ) 45 % , c ) 55 % , d ) 65 % , e ) 75 %", - "Correct": "c", - "Explanation": "science majors make up 0.4 of the class . 60 % of the class are women and 0.3 * 0.6 = 0.18 of the class are female science majors . then 0.22 of the class are male science majors . 0.4 x = 0.22 x = 0.55 = 55 % the answer is c ." - }, - { - "Answer": 8, - "Options": "a ) 14 sec , b ) 10 sec , c ) 12 sec , d ) 8 sec , e ) 9 sec", - "Correct": "d", - "Explanation": "\"time taken to cover the entire length = tot . dist / resultant speed = 112 / ( 10 + 4 ) = 8 sec answer : d\"" - }, - { - "Answer": 9.9, - "Options": "a ) $ 14.40 , b ) $ 14.00 , c ) $ 10.00 , d ) $ 9.60 , e ) $ 5.00", - "Correct": "c", - "Explanation": "\"let the cost price of book = x selling price of book = 11 $ markup % = 10 ( 110 / 100 ) x = 11 = > x = 10 answer c\"" - }, - { - "Answer": 8, - "Options": "a ) 8 , b ) 3 , c ) 4 , d ) 5 , e ) 6", - "Correct": "a", - "Explanation": "\"300 = ( 750 * 5 * r ) / 100 r = 8 % . answer : a\"" - }, - { - "Answer": 10815.834432633617, - "Options": "a ) $ 10079.44 , b ) r = $ 10815.83 , c ) $ 12652.61 , d ) $ 14232.14 , e ) $ 20598.11", - "Correct": "b", - "Explanation": "\"ps . i guess one can use simple interest to solve cause the answer choices are quite spread between you can easily arrive at something near 8 % hence b the answer\"" - }, - { - "Answer": 210, - "Options": "a ) 197 , b ) 210 , c ) 189 , d ) 278 , e ) 268", - "Correct": "b", - "Explanation": "\"x * ( 85 / 100 ) = ( 360 - x ) 119 / 100 x = 210 answer : b\"" - }, - { - "Answer": 12.360000000000015, - "Options": "a ) 12.1 % , b ) 12.36 % , c ) 12.94 % , d ) 13.65 % , e ) 14.56 %", - "Correct": "b", - "Explanation": "1.06 * 1.06 * x = 1.1236 * x the answer is b ." - }, - { - "Answer": 220, - "Options": "a ) 240 , b ) 260 , c ) 220 , d ) 300 , e ) 360", - "Correct": "c", - "Explanation": "\"c 220 cost price = $ 200 profit = 10 % of 200 = $ 20 selling price = cost price + profit = 200 + 20 = 220\"" - }, - { - "Answer": 60, - "Options": "a ) 16.67 , b ) 30 , c ) 50 , d ) 60 , e ) 70", - "Correct": "d", - "Explanation": "\"let x = ounces of 60 % salt solution to be added . 2 * 60 + . 6 x = . 4 ( 60 + x ) x = 60 answer d\"" - }, - { - "Answer": 327, - "Options": "a ) 322 , b ) 340 , c ) 333 , d ) 327 , e ) 500", - "Correct": "d", - "Explanation": "locals from arts = 50 % of 400 = 200 locals from science = 25 % of 100 = 25 locals from commerce = 85 % of 120 = 102 total locals = 200 + 25 + 102 = 327 d" - }, - { - "Answer": 204, - "Options": "a ) 140 , b ) 204 , c ) 180 , d ) 200 , e ) 250", - "Correct": "b", - "Explanation": "\"explanation : ( 1 / 4 ) * ( 1 / 3 ) * ( 2 / 5 ) * x = 17 then x = 17 * 30 = 510 40 % of 510 = 204 answer : option b\"" - }, - { - "Answer": 1750.000000000002, - "Options": "a ) $ 1250 , b ) $ 1300 , c ) $ 1750 , d ) $ 2015 , e ) $ 1452", - "Correct": "c", - "Explanation": "c . i . = 4000 * ( 1 + 10 / 100 ) ^ 2 - 4000 = 4000 * 11 / 10 * 11 / 10 - 4000 = $ 840 sum = 420 * 100 / 3 * 8 = $ 1750 answer is c" - }, - { - "Answer": 3.5999999999999996, - "Options": "a ) 3 , b ) 4 , c ) 18 / 5 , d ) 9 , e ) 12", - "Correct": "c", - "Explanation": "\"yes there is a typo in the question , i got the same ques on my gmat prep last week , and the questions goes as : a company has two types of machines , type r and type s . operating at a constant rate a machine of r does a certain job in 36 hours and a machine of type s does the job in 9 hours . if the company used the same number of each type of machine to do job in 2 hours , how many machine r were used ? so for a job to be done in 2 hours r = 1 / 2 r _ a ( rate of machine r ) = 1 / 36 r _ s ( rate of machine s ) = 1 / 9 lets say x machines are used to attain the desired rate , thus x / 36 + x / 9 = 1 / 2 ( desired r = 1 / 2 i . e . to complete the job in 2 hours ) ( x + 4 x ) / 36 = 1 / 2 5 x / 36 = 1 / 2 x = 18 / 5 . qa = 18 / 5 ( answer c )\"" - }, - { - "Answer": 8.000000000000227, - "Options": "a ) 1 , b ) 2 , c ) 8 , d ) 4 , e ) 5", - "Correct": "c", - "Explanation": "\"1250 = d ( 100 / 4 ) 8 d = 8 answer : c\"" - }, - { - "Answer": 2160, - "Options": "a ) 648 , b ) 1800 , c ) 2700 , d ) 2160 , e ) none of these", - "Correct": "d", - "Explanation": "\"solution let the required number of bottles be x . more machines , more bottles ( direct proportion ) more minutes , more bottles ( direct proportion ) \u00e2 \u02c6 \u00b4 6 \u00e3 \u2014 1 \u00e3 \u2014 x = 12 \u00e3 \u2014 4 \u00e3 \u2014 270 \u00e2 \u2021 \u201d x = 12 x 4 x 270 / 6 = 2160 . answer d\"" - }, - { - "Answer": 12, - "Options": "a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14", - "Correct": "c", - "Explanation": "\"if q complete x kilometers , then p completes 1.2 x kilometers . x + 1.2 x = 22 2.2 x = 22 x = 10 then p will have have walked 1.2 * 10 = 12 km . the answer is c .\"" - }, - { - "Answer": 45, - "Options": "a ) 43 , b ) 36 , c ) 28 , d ) 45 , e ) 11", - "Correct": "d", - "Explanation": "\"number of students absent on a particular day = 10 % of 50 i . e . , 10 / 100 \u00d7 50 = 5 therefore , the number of students present = 50 - 5 = 45 students . answer : d\"" - }, - { - "Answer": 12240, - "Options": "a ) 12040 , b ) 12140 , c ) 12240 , d ) 12340 , e ) 12440", - "Correct": "c", - "Explanation": "explanation : income = 12000 x 1.02 = 12240 answer : option c" - }, - { - "Answer": 97.14285714285714, - "Options": "a ) 4 % , b ) 10 % , c ) 97.14 % , d ) 90.14 % , e ) 20 %", - "Correct": "c", - "Explanation": "\"no of employees = 100 ( say ) men = 65 women = 35 men speaking french = 0.60 * 65 = 39 employees speaking french = 0.4 * 100 = 40 therefore women speaking french = 40 - 39 = 1 and women not speaking french = 35 - 1 = 34 % of women not speaking french = 34 / 35 * 100 = 97.14 % answer c\"" - }, - { - "Answer": 19828.79999999999, - "Options": "a ) 19828.88 , b ) 19828.8 , c ) 19828.87 , d ) 19828.81 , e ) 19828.82", - "Correct": "b", - "Explanation": "\"let the sum be rs . p p { [ 1 + 8 / 100 ] 2 - 1 } = 2828.80 p ( 8 / 100 ) ( 2 + 8 / 100 ) = 2828.80 [ a 2 - b 2 = ( a - b ) ( a + b ) ] p = 2828.80 / ( 0.08 ) ( 2.08 ) = 1360 / 0.08 = 17000 principal + interest = rs . 19828.80 answer : b\"" - }, - { - "Answer": 500.00000000000006, - "Options": "a ) 228 , b ) 278 , c ) 289 , d ) 500 , e ) 821", - "Correct": "d", - "Explanation": "\"p - 340 = ( p * 4 * 8 ) / 100 p = 500 answer : d\"" - }, - { - "Answer": 40, - "Options": "a ) 20 % , b ) 30 % , c ) 40 % , d ) 50 % , e ) 60 %", - "Correct": "c", - "Explanation": "\"selling price / total cost = 1400 / 1000 = 1.4 the gain percent is 40 % . the answer is c .\"" - }, - { - "Answer": 760, - "Options": "a ) 600 , b ) 720 , c ) 760 , d ) 620 , e ) 700", - "Correct": "c", - "Explanation": "\"mary receives $ 8 ( 20 ) = $ 160 for the first 20 hours . for the 60 overtime hours , she receives $ 8 ( 0.25 ) + $ 8 = $ 10 per hour , that is $ 10 ( 60 ) = $ 600 . the total amount is $ 160 + $ 600 = $ 760 answer c 360 .\"" - }, - { - "Answer": 200, - "Options": "a ) 210 , b ) 225 , c ) 200 , d ) 250 , e ) 300", - "Correct": "c", - "Explanation": "\"number of students who speak french are 40 + 10 = 50 of total students , the percentage of students who do not speak french was 75 % - - > percentage of who do is 25 % 50 - - - - - - - 25 % x - - - - - - - 100 % x = 50 * 100 / 25 = 200 = number of all students answer is c\"" - }, - { - "Answer": 120, - "Options": "a ) 80 , b ) 90 , c ) 110 , d ) 120 , e ) 130", - "Correct": "d", - "Explanation": "\"33 1 / 3 % = 1 / 3 1 / 3 \u00d7 360 = 120 d )\"" - }, - { - "Answer": 5.000000000000005, - "Options": "a ) 5 , b ) 15 , c ) 55 , d ) 95 , e ) 125", - "Correct": "a", - "Explanation": "\"p makes x sprockets per hour . then q makes 1.1 x sprockets per hour . 550 / x = 550 / 1.1 x + 10 1.1 ( 550 ) = 550 + 11 x 11 x = 55 x = 5 the answer is a .\"" - }, - { - "Answer": 45.833333333333314, - "Options": "a ) 10 % , b ) 45.8 % , c ) 25 % , d ) 52 % , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : cost price = ( 225 + 15 ) = 240 sell price = 350 gain = ( 110 / 240 ) * 100 = 45.8 % . answer : b\"" - }, - { - "Answer": 2000, - "Options": "a ) $ 2000 , b ) $ 2500 , c ) $ 3000 , d ) $ 3120 , e ) $ 1540", - "Correct": "a", - "Explanation": "\"115 % of cost - 110 % of cost = $ 100 5 % of cost = $ 100 cost = 100 * 100 / 5 = $ 2000 answer is a\"" - }, - { - "Answer": 2500, - "Options": "a ) 1200 , b ) 1240 , c ) 1852 , d ) 3200 , e ) 2500", - "Correct": "e", - "Explanation": "\"then , 0.08 % of x = 2 ( 8 / 100 ) * ( 1 / 100 ) x = 2 x = ( 2 * 100 * 100 ) / 8 = 2500 answer is e\"" - }, - { - "Answer": 4, - "Options": "a ) 4 % , b ) 8 % , c ) 10 % , d ) 12 % , e ) 15 %", - "Correct": "a", - "Explanation": "\"p = ( p * 25 * r ) / 100 r = 4 % answer : a\"" - }, - { - "Answer": 2505, - "Options": "a ) 2660 , 1000 , b ) 3660 , 2000 , c ) 3000 , 4160 , d ) 2490 , 4150 , e ) 2505 , 4175", - "Correct": "e", - "Explanation": "\"let the numbers be x and y . then , 7.5 % of x = 12.5 % of y x = 125 * y / 75 = 5 * y / 3 . now , x - y = 1670 5 * y / 3 \u2013 y = 1670 2 * y / 3 = 1670 y = [ ( 1670 * 3 ) / 2 ] = 2505 . one number = 2505 , second number = 5 * y / 3 = 4175 . answer e .\"" - }, - { - "Answer": 6876.1, - "Options": "a ) 6999.2 , b ) 6876.1 , c ) 6654 , d ) 7000 , e ) none of these", - "Correct": "b", - "Explanation": "explanation : rebate = 6 % of rs . 6650 = rs . 6 / 100 x 6650 = rs . 399 . sales tax = 10 % of rs . ( 6650 399 ) = rs . 10 / 100 x 6251 = rs . 625.10 final amount = rs . ( 6251 + 625.10 ) = rs . 6876.10 answer : b" - }, - { - "Answer": 2000, - "Options": "a ) 4000 , b ) 1000 , c ) 5000 , d ) 3000 , e ) 2000", - "Correct": "e", - "Explanation": "4 : 1 3 : 1 - - - - - - 12 : 1 13 - - - - - rs . 26000 1 - - - - - ? = > rs . 26000 / 13 = rs . 2000 answer : e" - }, - { - "Answer": 8.00000000000091, - "Options": "a ) 8 , b ) 2 , c ) 9 , d ) 5 , e ) 1", - "Correct": "a", - "Explanation": "\"5000 = d ( 100 / 4 ) 2 d = 8 answer : a\"" - }, - { - "Answer": 500, - "Options": "a ) 500 , b ) 650 , c ) 250 , d ) 111 , e ) 236", - "Correct": "a", - "Explanation": "\"speed = 10 * 5 / 18 = 50 / 18 m / sec distance covered in 5 minutes = 50 / 18 * 5 * 60 = 500 m answer is a\"" - }, - { - "Answer": 1290, - "Options": "a ) 1240 , b ) 1120 , c ) 1190 , d ) 1290 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : td = ( bg \u00d7 100 ) / tr = ( 540 \u00d7 100 ) / ( 6 \u00d7 12 ) = ( 90 \u00d7 100 ) / 12 = ( 15 \u00d7 100 ) 2 / = rs . 750 bg = bd \u2013 td = > 540 = bd - 750 = > bd = 540 + 750 = 1290 answer : option d\"" - }, - { - "Answer": 60, - "Options": "a ) 60 % , b ) 50 % , c ) 75 % , d ) 45 % , e ) 30 %", - "Correct": "a", - "Explanation": "\"required percentage = 3 % / 5 % * 100 = 3 / 5 * 100 = 60 % answer is a\"" - }, - { - "Answer": 17.14285714285715, - "Options": "a ) 16.67 % , b ) 17.14 % , c ) 18.3 % , d ) 19.75 % , e ) 21.23 %", - "Correct": "b", - "Explanation": "\"alcohol in the 18 litres of mix . = 20 % of 18 litres = ( 20 * 18 / 100 ) = 3.6 litres water in it = 18 - 3.6 = 14.4 litres new quantity of mix . = 18 + 3 = 21 litres quantity of alcohol in it = 3.6 litres percentage of alcohol in new mix . = 3.6 * 100 / 21 = 17.14 % answer is b\"" - }, - { - "Answer": 125, - "Options": "a ) 130 , b ) 125 , c ) 145 , d ) 135 , e ) 144", - "Correct": "b", - "Explanation": "\"cp = 95 sp = 47.50 * ( 125 / 100 ) = 118.125 mp * ( 95 / 100 ) = 118.125 mp = 125 answer : b\"" - }, - { - "Answer": 1080, - "Options": "a ) s . 1080 , b ) s . 1140 , c ) s . 1090 , d ) s . 1202 , e ) s . 1092", - "Correct": "a", - "Explanation": "\"s . p . = 90 % of rs . 1200 = rs . 90 x 1200 / 100 = rs . 1080 answer : option a\"" - }, - { - "Answer": 3200, - "Options": "a ) 400 , b ) 625 , c ) 1250 , d ) 3200 , e ) 10 000", - "Correct": "d", - "Explanation": "\"the percent of tagged fish in the second catch is 2 / 80 * 100 = 2.5 % . we are told that 2.5 % approximates the percent of tagged fish in the pond . since there are 80 tagged fish , then we have 0.025 x = 80 - - > x = 3,200 . answer : d .\"" - }, - { - "Answer": 100, - "Options": "a ) 25 % , b ) 50 % , c ) 100 % , d ) 150 % , e ) none", - "Correct": "c", - "Explanation": "\"sol . let marked price = rs . 100 . then , c . p . = rs . 25 . s . p = rs . 50 . \u00e2 \u02c6 \u00b4 gain % = [ 25 / 25 * 100 ] % = 100.0 % . answer c\"" - }, - { - "Answer": 28.875, - "Options": "a ) $ 16.32 , b ) $ 18.00 , c ) $ 21.60 , d ) $ 24.48 , e ) $ 28.87", - "Correct": "e", - "Explanation": "\"the discounted price of one can of soda is ( 0.75 ) ( $ 0.55 ) , or $ 0.4125 therefore , the price of 70 cans of soda at the discounted price would be ( 70 ) ( $ 0.4125 ) = 28.875 answer : e\"" - }, - { - "Answer": 1400, - "Options": "a ) 1667 , b ) 6789 , c ) 1200 , d ) 6151 , e ) 1400", - "Correct": "e", - "Explanation": "\"cp * ( 76 / 100 ) = 1064 cp = 14 * 100 = > cp = 1400 answer : e\"" - }, - { - "Answer": 1000.0000000000005, - "Options": "a ) 2288 , b ) 27669 , c ) 1766 , d ) 1000 , e ) 2871", - "Correct": "d", - "Explanation": "\"( x * 5 * 1 ) / 100 + [ ( 2500 - x ) * 6 * 1 ] / 100 = 140 x = 1000 answer : d\"" - }, - { - "Answer": 80, - "Options": "a ) 22 , b ) 20 , c ) 90 , d ) 80 , e ) 11", - "Correct": "d", - "Explanation": "\"600 - - - - 180 100 - - - - ? = > 80 % answer : d\"" - }, - { - "Answer": 12.5, - "Options": "a ) 6.25 , b ) 5.5 , c ) 7.4 , d ) 5 , e ) 12.5", - "Correct": "e", - "Explanation": "\"explanation : runs scored in the first 10 overs = 10 \u00d7 3.2 = 32 total runs = 282 remaining runs to be scored = 282 - 32 = 250 remaining overs = 20 run rate needed = 250 / 20 = 12.5 answer : option e\"" - }, - { - "Answer": 83.33333333333334, - "Options": "a ) 16 % , b ) 83.33 % , c ) 17 % , d ) 17.61 % , e ) 17.56 %", - "Correct": "b", - "Explanation": "\"increase = ( 50 / 60 ) * 100 = ( 5 / 6 ) * 100 = 83.33 % . b\"" - }, - { - "Answer": 118000.00000000001, - "Options": "a ) 328897 , b ) 120000 , c ) 118000 , d ) 277768 , e ) 188871", - "Correct": "c", - "Explanation": "the value of the machine after two years = 0.8 * 0.8 * 1 , 50,000 = rs . 96,000 sp such that a profit of rs . 22,000 is made = 96,000 + 24,000 = rs . 1 , 18,000 answer : c" - }, - { - "Answer": 31.11111111111111, - "Options": "a ) 11 , b ) 31 , c ) 99 , d ) 77 , e ) 18", - "Correct": "b", - "Explanation": "\"900 - - - - 280 100 - - - - ? = > 31 % answer : b\"" - }, - { - "Answer": 25, - "Options": "a ) 12 % , b ) 25 % , c ) 26 % , d ) 27 % , e ) 28 %", - "Correct": "b", - "Explanation": "\"70 / 280 = 1 / 4 1 / 4 \u00d7 100 = 25 % b\"" - }, - { - "Answer": 117, - "Options": "a ) 80 , b ) 117 , c ) 95 , d ) 100 , e ) 108", - "Correct": "b", - "Explanation": "\"assume a value at the beginning of 2007 . as this is a % question , assume p = 100 . at the end of 2007 it becmae = 1.2 * 100 = 120 at the end of 2008 it decreased by 25 % = 120 * . 75 = 90 at the end of 2009 it increased by 30 % = 90 * 1.3 = 117 thus ratio = 117 / 100 = 1.17 ( in % terms = 117 % ) . thus b is the correct answer .\"" - }, - { - "Answer": 20, - "Options": "a ) $ 10 , b ) $ 20 , c ) $ 25 , d ) $ 30 , e ) $ 40", - "Correct": "b", - "Explanation": "\"s . i . = 500 * 20 * 2 / 100 = $ 200 c . i . = 500 * ( 1 + 20 / 100 ) ^ 2 - 500 = $ 220 difference = 220 - 200 = $ 20 answer is b\"" - }, - { - "Answer": 46.666666666666664, - "Options": "a ) 30 % , b ) 47 % , c ) 90 % , d ) 100 % , e ) none of these", - "Correct": "b", - "Explanation": "explanation : let c . p . = rs . 100 . then , profit = rs . 110 , s . p . = rs . 210 . new c . p . = 112 % of rs . 100 = rs . 112 new s . p . = rs . 210 . profit = rs . ( 210 - 112 ) = rs . 98 . required percentage = ( 98 / 210 * 100 ) % = 47 % appox answer : b" - }, - { - "Answer": 24, - "Options": "a ) 22 , b ) 99 , c ) 27 , d ) 24 , e ) 20", - "Correct": "d", - "Explanation": "\"speed ratio = 1 : 6 / 5 = 5 : 6 time ratio = 6 : 5 1 - - - - - - - - 6 4 - - - - - - - - - ? 24 m . answer : d\"" - }, - { - "Answer": 400, - "Options": "a ) 300 , b ) 350 , c ) 400 , d ) 450 , e ) 500", - "Correct": "c", - "Explanation": "\"let x be the number of female police officers on the police force . the number of female police officers on duty was 76 . 0.19 x = 76 x = 400 the answer is c .\"" - }, - { - "Answer": 26, - "Options": "a ) 26 % , b ) 30 % , c ) 32 % , d ) 34 % , e ) 40 %", - "Correct": "a", - "Explanation": "\"1 . 20 % of 400 = 80 pounds of decaffeinated coffee 2 . 50 % of 100 = 50 pounds of decaffeinated coffee 3 . wt have 130 pounds of decaffeinated out of 500 pounds , that means 130 / 500 * 100 % = 26 % . the correct answer is a .\"" - }, - { - "Answer": 6999.999999999999, - "Options": "a ) 7000 , b ) 7200 , c ) 7400 , d ) 7600 , e ) 7800", - "Correct": "a", - "Explanation": "\"35 % - - - - - - - - - - - l 65 % - - - - - - - - - - - w - - - - - - - - - - - - - - - - - - 30 % = 2100 10 % = 700 100 % of the votes = 7000 answer : a\"" - }, - { - "Answer": 25, - "Options": "a ) 23 , b ) 27 , c ) 25 , d ) 35 , e ) 15", - "Correct": "c", - "Explanation": "\"5000 * ( 5 / 100 ) = 250 - - - - 10 ? - - - - 1 = > rs . 25 answer : c\"" - }, - { - "Answer": 80, - "Options": "a ) 20 % , b ) 30 % , c ) 50 % , d ) 60 % , e ) 80 %", - "Correct": "e", - "Explanation": "required percentage = 20 % / 25 % * 100 = 20 / 25 * 100 = 80 % answer is e" - }, - { - "Answer": 357, - "Options": "a ) 240 , b ) 288 , c ) 277 , d ) 357 , e ) 361", - "Correct": "d", - "Explanation": "\"( 6 * 8 + 5 * 4 ) : ( 4 * 8 + 5 * 4 ) 17 : 13 17 / 30 * 630 = 357 answer : d\"" - }, - { - "Answer": 23, - "Options": "a ) 12 , b ) 18 , c ) 20 , d ) 22 , e ) 23", - "Correct": "e", - "Explanation": "\"let the length and the breadth of the floor be l m and b m respectively . l = b + 200 % of b = l + 2 b = 3 b area of the floor = 529 / 3 = 176.33 sq m l b = 176.33 i . e . , l * l / 3 = 176.33 l ^ 2 = 529 = > l = 23 e\"" - }, - { - "Answer": 67.99999999999997, - "Options": "a ) 48 % , b ) 54 % , c ) 60 % , d ) 64 % , e ) 68 %", - "Correct": "e", - "Explanation": "72 % is 8 % - points below 80 % and 17 % - points above 55 % . so the ratio of solution p to solution q is 17 : 8 . mixture p is 17 / 25 = 68 % of the volume of mixture pq . the answer is e ." - }, - { - "Answer": 1199.9999999999998, - "Options": "a ) 621 , b ) 276 , c ) 236 , d ) 600 , e ) 1200", - "Correct": "e", - "Explanation": "\"explanation : ratio of investments of a , b and c is 8000 : 10000 : 12000 = 4 : 5 : 6 and also given that , profit share of b is rs . 3000 = > 5 parts out of 15 parts is rs . 3000 now , required difference is 6 - 4 = 2 parts required difference = 2 / 5 ( 3000 ) = rs . 1200 answer : e\"" - }, - { - "Answer": 285.09, - "Options": "a ) 285 , b ) 277 , c ) 290 , d ) 662 , e ) 262", - "Correct": "a", - "Explanation": "\"390 * ( 86 / 100 ) * ( 85 / 100 ) = 285 answer : a\"" - }, - { - "Answer": 830, - "Options": "a ) 338 , b ) 823 , c ) 833 , d ) 337 , e ) 733", - "Correct": "c", - "Explanation": "\"1000 * ( 85 / 100 ) * ( 98 / 100 ) = 833 answer : c\"" - }, - { - "Answer": 92.85714285714286, - "Options": "a ) 20 % , b ) 42 % , c ) 44 % , d ) 92 % , e ) 90 %", - "Correct": "d", - "Explanation": "\"you are correct . people who cover local politics are a subset of people who cover politics . 30 % of reporters who cover politics do not cover local politics so 70 % do cover local politics . reporters covering local politics = 70 % of reporters covering politics = 5 % of all reporters reporters covering politics / all reporters = 5 / 70 = 1 / 14 reporters not covering politics / all reporters = 13 / 14 = 92 % = d\"" - }, - { - "Answer": 93750, - "Options": "a ) $ 87952 , b ) $ 93750 , c ) $ 89542 , d ) $ 95820 , e ) $ 84256", - "Correct": "b", - "Explanation": "\"let the total amount be x then , ( 100 - 20 ) % of x = 35000 + 40000 80 % of x = 75000 80 x / 100 = 75000 x = $ 93750 answer is b\"" - }, - { - "Answer": 42.5, - "Options": "a ) 20 % , b ) 29 % , c ) 10 % , d ) 80 % , e ) 42.5 %", - "Correct": "e", - "Explanation": "\"sp 2 = 2 / 3 sp 1 cp = 100 sp 2 = 95 2 / 3 sp 1 = 95 sp 1 = 142.5 100 - - - 42.5 = > 42.5 % answer : e\"" - }, - { - "Answer": 20.000000000000007, - "Options": "a ) 8 % , b ) 1 % , c ) 20 % , d ) 80 % , e ) none", - "Correct": "c", - "Explanation": "\"explanation : let the business value changes from x to y . then , 4 % of x = 5 % of y or 4 / 100 \u00d7 x = 5 / 100 \u00d7 y or y = 4 / 5 x change in business = ( x \u2212 4 / 5 x ) = 1 / 5 x percentage slump in business = ( 1 / 5 x \u00d7 1 / x \u00d7 100 ) % correct option : c\"" - }, - { - "Answer": 0.765, - "Options": "a ) 0.75 d , b ) 0.76 d , c ) 0.765 d , d ) 0.775 d , e ) 0.805 d", - "Correct": "c", - "Explanation": "\"successive doscounts = - a - b + ab / 100 putting the values , total discount = - 15 - 10 + 150 / 100 = - 25 + 1.5 = 23.5 % discount hence the final price of the dress = d - 0.235 d = 0.765 d correct option : c\"" - }, - { - "Answer": 300, - "Options": "a ) $ 240 , b ) $ 300 , c ) $ 360 , d ) $ 420 , e ) $ 480", - "Correct": "b", - "Explanation": "\"let the money sandy took for shopping be x . 0.7 x = 210 x = 300 the answer is b .\"" - }, - { - "Answer": 150, - "Options": "a ) a ) 100 , b ) b ) 150 , c ) c ) 250 , d ) d ) 200 , e ) e ) 160", - "Correct": "b", - "Explanation": "\"then , 10 % of x = 15 ( 10 / 100 ) x = 15 x = ( 15 * 100 * ) / 10 = 150 answer is b\"" - }, - { - "Answer": 240, - "Options": "a ) 297 , b ) 879 , c ) 342 , d ) 240 , e ) 269", - "Correct": "d", - "Explanation": "\"400 * ( 75 / 100 ) * ( 80 / 100 ) = 240 answer : d\"" - }, - { - "Answer": 80, - "Options": "a ) $ 100 , b ) $ 75 , c ) $ 20 , d ) $ 120 , e ) $ 80", - "Correct": "e", - "Explanation": "a : b = 400 * 12 : 200 * 6 a : b = 4 : 1 a ' s share = 100 * 4 / 5 = $ 80 answer is e" - }, - { - "Answer": 1656, - "Options": "a ) 1629 , b ) 1656 , c ) 1277 , d ) 6298 , e ) 1279", - "Correct": "b", - "Explanation": "\"( x * 8 * 3 ) / 100 = ( ( 2691 - x ) * 3 * 5 ) / 100 24 x / 100 = 40365 / 100 - 15 x / 100 39 x = 40365 = > x = 1035 second sum = 2691 \u00e2 \u20ac \u201c 1035 = 1656 answer : b\"" - }, - { - "Answer": 54000, - "Options": "a ) $ 54000 , b ) $ 48000 , c ) $ 36520 , d ) $ 32450 , e ) $ 42500", - "Correct": "a", - "Explanation": "\"p = $ 128000 r = 25 % t = 3 years machine value after 3 years = p / ( 1 - r / 100 ) ^ t = 128000 * 3 / 4 * 3 / 4 * 3 / 4 = $ 54000 answer is a\"" - }, - { - "Answer": 86, - "Options": "a ) 43 , b ) 36 , c ) 86 , d ) 129 , e ) 11", - "Correct": "c", - "Explanation": "number of students absent on a particular day = 14 % of 100 i . e . , 14 / 100 \u00d7 100 = 14 therefore , the number of students present = 100 - 14 = 86 students . answer : c" - }, - { - "Answer": 80, - "Options": "a ) 80 , b ) 90 , c ) 100 , d ) 110 , e ) 120", - "Correct": "a", - "Explanation": "\"l + k = 140 and so k = 140 - l l + 10 = 1.5 k = 1.5 ( 140 - l ) 2.5 l = 200 l = 80 the answer is a .\"" - }, - { - "Answer": 37500, - "Options": "a ) rs . 30000 , b ) rs . 37000 , c ) rs . 37500 , d ) rs . 40000 , e ) rs . 40500", - "Correct": "c", - "Explanation": "\"explanation : market value = rs . 200 . required income = rs . 15000 . here face value is not given . take face value as rs . 100 if it is not given in the question to obtain rs . 80 ( ie , 80 % of the face value 100 ) , investment = rs . 200 to obtain rs . 15000 , investment = 200 / 80 \u00e3 \u2014 15000 = rs . 37500 answer : option c\"" - }, - { - "Answer": 0.5, - "Options": "a ) 1 / 5 , b ) 1 / 3 , c ) 2 / 5 , d ) 1 / 2 , e ) 2 / 3", - "Correct": "d", - "Explanation": "\"let weight of jar filled with beans = 100 g weight of jar = 20 g weight of coffee beans = 80 g weight of jar and remaining beans = 60 g weight of remaining beans = 40 g fraction remaining = 40 / 80 = 1 / 2 answer is d .\"" - }, - { - "Answer": 3.333333333333335, - "Options": "a ) 20 / 7 , b ) 20 / 3 , c ) 23 / 6 , d ) 10 / 3 , e ) 10 / 7", - "Correct": "d", - "Explanation": "\"let sum = x . then , amount = 7 x / 6 s . i . = 7 x / 6 - x = x / 6 ; time = 5 years . rate = ( 100 * x ) / ( x * 6 * 5 ) = 10 / 3 % . answer : d\"" - }, - { - "Answer": 11.666666666666666, - "Options": "a ) 3.33 % , b ) 5.93 % , c ) 4.33 % , d ) 9.33 % , e ) 11.67 %", - "Correct": "e", - "Explanation": "\"350 = ( 600 * 5 * r ) / 100 r = 11.67 % answer : e\"" - }, - { - "Answer": 262.5, - "Options": "a ) 337 , b ) 262.5 , c ) 299.5 , d ) 266.5 , e ) 299", - "Correct": "b", - "Explanation": "\"x * ( 85 / 100 ) = ( 450 - x ) 119 / 100 x = 262.5 answer : b\"" - }, - { - "Answer": 98, - "Options": "a ) 80 % , b ) 105 % , c ) 120 % , d ) 124.2 % , e ) 98 %", - "Correct": "e", - "Explanation": "0,098 r = x / 100 * 0.1 r answer e" - }, - { - "Answer": 250, - "Options": "a ) 250 % , b ) 20 % , c ) 50 % , d ) 200 % , e ) 500 %", - "Correct": "a", - "Explanation": "\"60 * x = 150 - - > x = 2.5 - - > 2.5 expressed as percent is 250 % . answer : a .\"" - }, - { - "Answer": 876.9230769230769, - "Options": "a ) 191 , b ) 355 , c ) 737 , d ) 876 , e ) 1,560", - "Correct": "d", - "Explanation": "\"let weight of side of beef before processing = x ( 65 / 100 ) * x = 570 = > x = ( 570 * 100 ) / 65 = 876 answer d\"" - }, - { - "Answer": 1000, - "Options": "a ) 1100 , b ) 1001 , c ) 1010 , d ) 1000 , e ) 1002", - "Correct": "d", - "Explanation": "\"explanation : formula : ( after = 100 denominator ago = 100 numerator ) 1320 * 100 / 110 * 100 / 120 = 1000 answer : option d\"" - }, - { - "Answer": 1054, - "Options": "a ) 288 , b ) 1054 , c ) 788 , d ) 298 , e ) 177", - "Correct": "b", - "Explanation": "\"w = 62 % l = 38 % 62 % - 38 % = 24 % 24 % - - - - - - - - 408 62 % - - - - - - - - ? = > 1054 answer : b\"" - }, - { - "Answer": 1750, - "Options": "a ) $ 1000 , b ) $ 750 , c ) $ 1541 , d ) $ 1478 , e ) $ 1750", - "Correct": "e", - "Explanation": "\"s . i = 1500 - 1000 = 500 p = $ 1000 t = 5 years r = 100 * 500 / 1000 * 5 = 10 % new rate = 10 + 5 = 15 % new s . i . = 1000 * 15 * 5 / 100 = $ 750 new amount = 1000 + 750 = $ 1750 answer is e\"" - }, - { - "Answer": 1400, - "Options": "a ) $ 1200 , b ) $ 1300 , c ) $ 1400 , d ) $ 1500 , e ) $ 1600", - "Correct": "c", - "Explanation": "\"the ratio of capital of a , b and c = 7000 : 11000 : 18000 = 7 : 11 : 18 a ' s share = ( 7 / 11 ) * 2200 = $ 1400 the answer is c .\"" - }, - { - "Answer": 40, - "Options": "a ) 100 , b ) 40 , c ) 80 , d ) 120 , e ) 110", - "Correct": "b", - "Explanation": "explanation : 40 % = 40 * 4 = 160 10 % = 10 * 4 = 40 answer : option b" - }, - { - "Answer": 875, - "Options": "a ) 600 , b ) 715 , c ) 600 , d ) 875 , e ) 900", - "Correct": "d", - "Explanation": "\"principal = ( 100 * 2100 ) / ( 12 * 20 ) = rs . 875 answer : d\"" - }, - { - "Answer": 31, - "Options": "a ) 30 , b ) 29 , c ) 37 , d ) 36 , e ) 31", - "Correct": "e", - "Explanation": "\"( 80 / 100 ) * 170 \u00e2 \u20ac \u201c ( 35 / 100 ) * 300 136 - 105 = 31 answer : e\"" - }, - { - "Answer": 44, - "Options": "a ) 44 , b ) 5 , c ) 56 , d ) 2 , e ) 7", - "Correct": "a", - "Explanation": "\"explanation : let the price be = rs . 100 , and number of units sold = 100 then , sale value = rs . ( 100 \u00d7 100 ) = rs . 10000 new sale value = rs . ( 180 \u00d7 80 ) = rs . 14400 increase % = 4400 / 10000 \u00d7 100 = 44 % answer : a\"" - }, - { - "Answer": 13.333333333333332, - "Options": "a ) 10 % , b ) 13.33 % , c ) 40 % , d ) 50 % , e ) 66.66 %", - "Correct": "b", - "Explanation": "\"- - - - - - - - - - - - - - - - > ryegrass x - - - - - - - - - - - - - - > 40 % y - - - - - - - - - - - - - - > 25 % m ( mixture ) - - - - > 27 % 0.4 x + ( m - x ) 0.25 = 0.27 m 0.15 x = 0.02 m x = 0.1333 m x = 13.33 % of m b\"" - }, - { - "Answer": 12, - "Options": "a ) 16 , b ) 13 , c ) 12 , d ) 14 , e ) 15", - "Correct": "c", - "Explanation": "\"explanation : clue : firstly we need to calculate the si with prinical 400 , time 5 years and rate 12 % , it will be rs . 240 then we can get the time as time = ( 100 * 240 ) / ( 200 * 10 ) = 12 option c\"" - }, - { - "Answer": 1400, - "Options": "a ) s : 1000 , b ) s : 1067 , c ) s : 1278 , d ) s : 1028 , e ) s : 1400", - "Correct": "e", - "Explanation": "\"90 % 104 % - - - - - - - - 14 % - - - - 196 100 % - - - - ? = > rs : 1400 answer : e\"" - }, - { - "Answer": 10000, - "Options": "a ) a ) 1500 , b ) b ) 10000 , c ) c ) 2500 , d ) d ) 3000 , e ) e ) 3100", - "Correct": "b", - "Explanation": "\"let the number of meters to be examined be x then , 0.02 % of x = 2 ( 2 / 100 ) * ( ( 1 / 100 ) * x = 2 x = 10000 answer is b\"" - }, - { - "Answer": 1.5151515151515151, - "Options": "a ) 6.54 % , b ) 4.54 % , c ) 1.51 % , d ) 1.94 % , e ) 5.54 %", - "Correct": "c", - "Explanation": "\"let sum = x . then , s . i . = x . rate = ( 100 * s . i . ) / ( p * t ) = ( 100 * x ) / ( x * 66 ) = 100 / 66 = 1.51 % answer : c\"" - }, - { - "Answer": 93.75, - "Options": "a ) 200 , b ) 225 , c ) 93.75 , d ) 320 , e ) none of these", - "Correct": "c", - "Explanation": "explanation : let 16 / 100 \u00d7 40 / 100 \u00d7 a = 6 a = 6 \u00d7 100 \u00d7 100 / 16 \u00d7 40 = 93.75 correct option : c" - }, - { - "Answer": 0.5, - "Options": "a ) 1.2 % , b ) 0.5 % , c ) 0.7 % , d ) 0.9 % , e ) 0.3 %", - "Correct": "b", - "Explanation": "\"applying the above formula , we have 40 = 2000 * r * 4 / 100 r = 40 * 100 / 2000 * 4 = 0.5 % . answer is b\"" - }, - { - "Answer": 2.953846153846154, - "Options": "a ) 1.95 , b ) 2.95 , c ) 4.95 , d ) 3.95 , e ) 5.95", - "Correct": "b", - "Explanation": "\"40 * ( 40 / 100 ) = 16 - - - 65 ? - - - 12 = > rs . 2.95 answer : b\"" - }, - { - "Answer": 36, - "Options": "a ) 34 , b ) 35 , c ) 36 , d ) 37 1 / 25 , e ) 40", - "Correct": "c", - "Explanation": "\"in 8 kilograms of solution y there are 0.3 * 10 = 3 kilograms of solution x ; after 2 kilograms of water are replaced by 2 kilograms of solution y , to the existing 2.4 kilograms of solution x , 0.3 * 2 = 0.6 kilograms of solution x are added , so in the new solution of 8 kilograms there are 3 + 0.6 = 3.6 kilograms of solution x , which is 3.6 / 10 * 100 = 36 % of this new solution . answer : c .\"" - }, - { - "Answer": 100.00000000000001, - "Options": "a ) 197 min , b ) 100 min , c ) 177 min , d ) 176 min , e ) 186 min", - "Correct": "b", - "Explanation": "work done by the third pipe in 1 min = 1 / 50 - ( 1 / 60 + 1 / 75 ) = - 1 / 100 . [ - ve sign means emptying ] the third pipe alone can empty the cistern in 100 min . answer : b" - }, - { - "Answer": 224, - "Options": "a ) 297 , b ) 879 , c ) 342 , d ) 762 , e ) 224", - "Correct": "e", - "Explanation": "\"400 * ( 70 / 100 ) * ( 80 / 100 ) = 224 answer : e\"" - }, - { - "Answer": 8, - "Options": "a ) 1 kmph , b ) 7 kmph , c ) 98 kmph , d ) 6 kmph , e ) 8 kmph", - "Correct": "e", - "Explanation": "\"ds = 20 us = 4 s = ? s = ( 20 - 4 ) / 2 = 8 kmph answer : e\"" - }, - { - "Answer": 25, - "Options": "a ) 75 , b ) 65 , c ) 45 , d ) 25 , e ) 35", - "Correct": "d", - "Explanation": "\"explanation : let the origianl salary = rs . 100 it will be 150 % of ( 50 % of 100 ) = ( 150 / 100 ) * ( 50 / 100 ) * 100 = 75 so new salary is 75 , it means his loss is 25 % answer : option d\"" - }, - { - "Answer": 7.526881720430101, - "Options": "a ) 5.26 % , b ) 5.36 % , c ) 4.26 % , d ) 6.26 % , e ) 7.53 %", - "Correct": "e", - "Explanation": "\"his percentage gain is 100 * 7 / 930 as he is gaining 70 units for his purchase of 930 units . so 7.53 % . answer : e\"" - }, - { - "Answer": 914.6152747265625, - "Options": "a ) $ 750.00 , b ) $ 823.50 , c ) $ 973.25 , d ) $ 921.75 , e ) $ 110.00", - "Correct": "d", - "Explanation": "using ci formula : a = p ( 1 + r / n ) ^ n * t a = 650 ( 1 + 5 / 7 ) ^ 5 * 7 a = 921.75 option : d" - }, - { - "Answer": 25.88235294117647, - "Options": "a ) 22 % , b ) 23 % , c ) 24 % , d ) 26 % , e ) 34 %", - "Correct": "d", - "Explanation": "since 15 % of the customers who sample the candyare notcaught , then 88 % of the customers who sample the candyarecaught : { % of customers who sample candy } * 0.85 = 0.22 ; { % of customers who sample candy } = 0.259 answer : d ." - }, - { - "Answer": 0.6842105263157895, - "Options": "a ) 13 / 19 , b ) 1 / 3 , c ) 9 / 20 , d ) 7 / 10 , e ) 5 / 7", - "Correct": "a", - "Explanation": "\"lets take total employees are 100 . given that , total women = 76 and total married = 60 . total men = 100 - 76 = 24 and single men = 2 / 3 * 24 = 16 . married men = total men - single men = 24 - 16 = 8 . married women = total married - married men = 60 - 8 = 52 . fraction of women are married = married women / total women = 52 / 76 = 13 / 19 . ans a\"" - }, - { - "Answer": 15, - "Options": "a ) 9 % , b ) 15 % , c ) 105 / 8 % , d ) 11 % , e ) 12 %", - "Correct": "b", - "Explanation": "\"the equation we can form the question : return on total investment = sum of individual investments ( 500 + 1500 ) ( 13 ) = ( 500 \u00e2 \u02c6 \u2014 7 ) + ( 1500 x ) , where x is the return on investment of 1500 . solving the equation , we get x = 15 % ( option b ) answer : b\"" - }, - { - "Answer": 128, - "Options": "a ) 106 , b ) 116 , c ) 128 , d ) 136 , e ) 146", - "Correct": "c", - "Explanation": "160 * 80 / 100 = 128 answer : c" - }, - { - "Answer": 4.000000000000455, - "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", - "Correct": "d", - "Explanation": "\"2500 = d ( 100 / 4 ) 2 d = 4 answer : d\"" - }, - { - "Answer": 20, - "Options": "a ) 20 , b ) 15 , c ) 40 , d ) 50 , e ) 25", - "Correct": "a", - "Explanation": "\"selling price is 48 cents / lb for a 20 % profit , cost price should be 40 cents / lb ( cp * 6 / 5 = 48 ) basically , you need to mix 35 cents / lb ( salt 1 ) with 50 cents / lb ( salt 2 ) to get a mixture costing 40 cents / lb ( salt avg ) weight of salt 1 / weight of salt 2 = ( salt 2 - salt avg ) / ( salt avg - salt 1 ) = ( 50 - 40 ) / ( 40 - 35 ) = 2 / 1 we know that weight of salt 1 is 40 lbs . weight of salt 2 must be 20 lbs . answer ( a )\"" - }, - { - "Answer": 19.81981981981982, - "Options": "a ) 11 , b ) 20 , c ) 28 , d ) 24 , e ) 82", - "Correct": "b", - "Explanation": "\"explanation : 2420 - - - 484 100 - - - ? = > 20 % answer : option b\"" - }, - { - "Answer": 0.977777777777778, - "Options": "a ) $ 0.94 , b ) $ 0.96 , c ) $ 0.98 , d ) $ 1.00 , e ) $ 1.20", - "Correct": "c", - "Explanation": "\"assume the manager bought 100 tomatoes . cost price = 80 given : 10 % are damaged - - > available tomatoes to sell = 90 90 * x - 80 = 0.1 * 80 90 x - 80 = 8 90 x = 88 x = 88 / 90 = 44 / 45 = 0.977 x is slightly under 0.977 = 0.98 answer : c\"" - }, - { - "Answer": 2000, - "Options": "a ) 1000 meters , b ) 1050 meters , c ) 1200 meters , d ) 2000 meters , e ) none of these", - "Correct": "d", - "Explanation": "explanation : we need to get the answer in meters . so we will first of change distance from km / hour to meter / sec by multiplying it with 5 / 18 and also change 15 minutes to seconds by multiplying it with 60 . speed = 8 \u00e2 \u02c6 \u2014 5 / 18 = 20 / 9 m / sec time = 15 \u00e2 \u02c6 \u2014 60 seconds = 900 seconds distance = time \u00e2 \u02c6 \u2014 speed / distance = 20 / 9 \u00e2 \u02c6 \u2014 900 = 2000 meter option d" - }, - { - "Answer": 13.043478260869579, - "Options": "a ) 50 % , b ) 40 % , c ) 35 % , d ) 32 % , e ) 13 %", - "Correct": "e", - "Explanation": "\"assume the revenue in 2000 to be 100 . then in 2003 it would be 115 and and in 2005 130 , so from 2003 to 2005 it increased by ( 130 - 115 ) / 115 = 15 / 115 = 13 % . answer : e .\"" - }, - { - "Answer": 60000, - "Options": "a ) 30000 , b ) 50000 , c ) 40000 , d ) 20000 , e ) 60000", - "Correct": "e", - "Explanation": "let the amount invested by q = q 40000 : q = 2 : 3 \u21d2 40000 \u00d7 3 = 2 q \u21d2 q = ( 40000 \u00d7 3 ) / 2 = 60000 answer is e ." - }, - { - "Answer": 200, - "Options": "a ) 334 , b ) 500 , c ) 200 , d ) 288 , e ) 271", - "Correct": "c", - "Explanation": "\"let the maximum marks be m then 92 % of m = 184 \u21d2 92 / 100 \u00d7 m = 184 \u21d2 m = ( 184 \u00d7 100 ) / 92 \u21d2 m = 18400 / 92 \u21d2 m = 200 therefore , maximum marks in the examinations are 200 . answer : c\"" - }, - { - "Answer": 2, - "Options": "a ) 8 , b ) 9 , c ) 2 , d ) 6 , e ) 4", - "Correct": "c", - "Explanation": "\"40 % - - - 8 160 % - - - ? 40 / 160 * 12 = 2 answer : c\"" - }, - { - "Answer": 5, - "Options": "a ) 4 % , b ) 5 % , c ) 6 % , d ) 7 % , e ) 8 %", - "Correct": "b", - "Explanation": "\"explanation : gain % = ( 125.36 * 100 / 2400 ) = 5.2 % = 5 % approx option b\"" - }, - { - "Answer": 40, - "Options": "a ) 18 , b ) 28 , c ) 40 , d ) 68 , e ) 70", - "Correct": "c", - "Explanation": "\"the correct method total = 300 . . 70 % of 300 = 210 got gifts . . 90 did not get gift , out of which 30 are males , so remaining 90 - 30 = 60 are females . . but 40 % females brought gift , so 60 % did not get it . . so 60 % = 60 , 100 % = 60 * 100 / 60 = 100 . ans 40 % of 100 = 40 c\"" - }, - { - "Answer": 666.6666666666667, - "Options": "a ) 263 , b ) 500 , c ) 367 , d ) 368 , e ) 666.7", - "Correct": "e", - "Explanation": "\"70 = ( p * 3 * 7 / 2 ) / 100 p = 666.7 answer : e\"" - }, - { - "Answer": 424.8, - "Options": "a ) rs . 432 , b ) rs . 425 , c ) rs . 412 , d ) rs . 442 , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : f = rs . 2360 td = rs . 360 pw = f - td = 2360 - 360 = rs . 2000 true discount is the simple interest on the present value for unexpired time = > simple interest on rs . 2000 for unexpired time = rs . 360 banker ' s discount is the simple interest on the face value of the bill for unexpired time = simple interest on rs . 2360 for unexpired time = 360 / 2000 \u00d7 2360 = 0.18 \u00d7 2160 = rs . 425 answer : option b\"" - }, - { - "Answer": 17.647058823529413, - "Options": "a ) 16.67 % , b ) 23 % , c ) 18.3 % , d ) 17.64 % , e ) 21.23 %", - "Correct": "d", - "Explanation": "\"alcohol in the 15 litres of mix . = 20 % of 15 litres = ( 20 * 15 / 100 ) = 3 litres water in it = 15 - 3 = 12 litres new quantity of mix . = 15 + 2 = 17 litres quantity of alcohol in it = 3 litres percentage of alcohol in new mix . = 3 * 100 / 17 = 17.64 % answer is d\"" - }, - { - "Answer": 800, - "Options": "a ) 400 , b ) 800 , c ) 600 , d ) 1200 , e ) 1000", - "Correct": "b", - "Explanation": "first persons investment = x second persons investment = x + 1000 third persons investments = x + 2000 x + x + 1000 + x + 2000 = 9000 3 x = 6000 x = 2000 ratio = 2000 : 3000 : 4000 2 : 3 : 4 4 / 9 * 1800 = 800 answer : b" - }, - { - "Answer": 30, - "Options": "a ) 30 , b ) 60 , c ) 70 , d ) 80 , e ) 20", - "Correct": "a", - "Explanation": "\"a 600 * ( 25 / 100 ) = 150 - - - - 5 ? - - - - 1 = > rs . 30\"" - }, - { - "Answer": 6, - "Options": "a ) 0.004 % , b ) 0.04 % , c ) 0.40 % , d ) 6 % , e ) 40 %", - "Correct": "d", - "Explanation": "\"total amount of water evaporated each day during a 50 - day period = . 012 * 50 = . 012 * 100 / 2 = 1.2 / 2 = . 6 percent of the original amount of water evaporated during this period = ( . 6 / 10 ) * 100 % = 6 % answer d\"" - }, - { - "Answer": 15000, - "Options": "a ) rs . 12000 , b ) rs . 15000 , c ) rs . 13000 , d ) rs . 10000 , e ) rs . 14000", - "Correct": "b", - "Explanation": "compund interest = p [ 1 + r / 100 ] ^ t - p ci = p [ 21 / 100 ] simple interest = ptr / 100 si = p [ 20 / 100 ] difference p [ 21 / 100 ] - p [ 20 / 100 ] = 150 p = 15000 answer : b" - }, - { - "Answer": 7500, - "Options": "a ) 3377 , b ) 2678 , c ) 5460 , d ) 7500 , e ) 1671", - "Correct": "d", - "Explanation": "\"5000 * 120 / 100 * 125 / 100 = > 7500 answer : d\"" - }, - { - "Answer": 80, - "Options": "a ) 85 % , b ) 80 % , c ) 75 % , d ) 70 % , e ) 65 %", - "Correct": "b", - "Explanation": "the volume of the mixture be x + y . 0.3 x + 0.4 y = 0.32 ( x + y ) x = 4 y x / ( x + y ) = 4 / 5 = 80 % . the answer is b ." - }, - { - "Answer": 12500, - "Options": "a ) rs . 12500 , b ) rs . 1000 , c ) rs . 8000 , d ) rs . 6000 , e ) rs . 15000", - "Correct": "a", - "Explanation": "\"sol . saving = [ 100 - ( 40 + 20 + 10 + 10 ] % = 20 % . let the monthly salary be rs . x . then , 20 % of x = 2500 \u00e2 \u2021 \u201d 20 / 100 x = 2500 \u00e2 \u2021 \u201d x = 2500 \u00e3 \u2014 5 = 12500 . answer a\"" - }, - { - "Answer": 9560, - "Options": "a ) 9660 , b ) 6560 , c ) 7560 , d ) 9560 , e ) 8560", - "Correct": "d", - "Explanation": "\"( 6000 * 3 * 2 ) / 100 = 360 9200 - - - - - - - - 9560 answer : d\"" - }, - { - "Answer": 9.5, - "Options": "a ) 9.5 , b ) 5.5 , c ) 8.5 , d ) 9.6 , e ) 9.7", - "Correct": "a", - "Explanation": "explanation : relative speed = 5.5 - 4.5 = 1 kmph ( because they walk in the same direction ) distance = 9.5 km time = distance / speed = 9.5 / 1 = 9.5 hr answer : a" - }, - { - "Answer": 880, - "Options": "a ) 430 , b ) 880 , c ) 550 , d ) 590 , e ) 600", - "Correct": "b", - "Explanation": "\"cost price = 720 / 90 x 100 = 800 to gain 10 % = 800 x 10 / 100 = 80 sp = cp + gain = 800 + 80 = 880 answer : b\"" - }, - { - "Answer": 51, - "Options": "a ) 50 , b ) 54 , c ) 56 , d ) 51 , e ) 63", - "Correct": "d", - "Explanation": "\"word problems are tricky in somehow more than other problem because you have the additional step to translate . breaking the problem : geoff how many votes he receives ? ? 60 votes he needs 3571 more votes so : 60 + 3000 = 3060 now what ' s the problem wants ? ? a x % . . . . . . . . 3060 is what % of total votes 6000 . . . . . . . . translating : 3060 = x / 100 * 6000 - - - x = 51 % . . . . . . . . . . d\"" - }, - { - "Answer": 80, - "Options": "a ) 75 , b ) 100 , c ) 120 , d ) 30 , e ) 80", - "Correct": "e", - "Explanation": "\"explanation : 40 % = 40 * 4 = 160 20 % = 20 * 4 = 80 answer : option e\"" - }, - { - "Answer": 3.125, - "Options": "a ) 2 kg , b ) 2.4 kg , c ) 3.12 kg , d ) 10 kg , e ) none of these", - "Correct": "c", - "Explanation": "the weight of non - water in 25 kg of fresh grapes ( which is 100 - 90 = 10 % of whole weight ) will be the same as the weight of non - water in x kg of dried grapes ( which is 100 - 20 = 80 % of whole weight ) , so 25 \u00e2 \u02c6 \u2014 0.1 = x \u00e2 \u02c6 \u2014 0.8 - - > x = 3.12 answer : c ." - }, - { - "Answer": 35.999999999999986, - "Options": "a ) 28 % , b ) 30 % , c ) 32 % , d ) 36 % , e ) 72 %", - "Correct": "d", - "Explanation": "\"consider the initial value of the baseball card as $ 100 after first year price = 100 * 0.8 = 80 after second year price = 80 * 0.8 = 64 final decrease = [ ( 100 - 64 ) / 100 ] * 100 = 36 % correct answer - d\"" - }, - { - "Answer": 4, - "Options": "a ) 2 % , b ) 4 % , c ) 6 % , d ) 8 % , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : 2 / 50 * 100 = 1 / 25 * 100 = 4 % option b\"" - }, - { - "Answer": 10, - "Options": "a ) 5 , b ) 2 , c ) 10 , d ) 1 , e ) 12", - "Correct": "c", - "Explanation": "i find it much easier to understand with real numbers , so choose ( almost ) any numbers to replace m , n and p : in a certain village , m 20 litres of water are required per household per month . at this rate , if there aren 10 households in the village , how long ( in months ) willp 2000 litres of water last ? water required is 20 * 10 = 200 ( m * n ) water available is 2000 ( p ) it will last 10 months ( p / m * n ) ans : c" - }, - { - "Answer": 300, - "Options": "a ) 5 % , b ) 20 % , c ) 50 % , d ) 300 % , e ) 500 %", - "Correct": "d", - "Explanation": "\"40 * x = 120 - - > x = 3 - - > 3 expressed as percent is 300 % . answer : d .\"" - }, - { - "Answer": 64.10000000000036, - "Options": "a ) rs . 31 , b ) rs . 32.10 , c ) rs . 40.40 , d ) rs . 64.10 , e ) none", - "Correct": "d", - "Explanation": "solution s . i . = rs ( 1000 x 10 x 4 / 100 ) = rs . 400 . c . i . = rs . [ 1000 x ( 1 x 10 / 100 ) 4 - 1000 ] = rs . 464.10 \u2234 difference = rs . ( 464.10 - 400 ) = rs . 64.10 answer d" - }, - { - "Answer": 150.00000000000003, - "Options": "a ) 70 , b ) 245 , c ) 150 , d ) 35 , e ) 350", - "Correct": "c", - "Explanation": "\"since 30 % of the boys from school a study science , then 70 % of the boys from school a do not study science and since 20 % of the total number of boys are from school a , then 0.2 * 0.7 = 0.14 , or 14 % of the boys in the camp are from school a and do not study science . we are told that this number equals to 21 , so 0.14 * { total } = 21 - - > { total } = 150 . answer : c .\"" - }, - { - "Answer": 4.5, - "Options": "a ) 3 , b ) 4 , c ) 6 , d ) 9 / 2 , e ) 12", - "Correct": "d", - "Explanation": "\"yes there is a typo in the question , i got the same ques on my gmat prep last week , and the questions goes as : a company has two types of machines , type r and type s . operating at a constant rate a machine of r does a certain job in 36 hours and a machine of type s does the job in 12 hours . if the company used the same number of each type of machine to do job in 2 hours , how many machine r were used ? so for a job to be done in 2 hours r = 1 / 2 r _ a ( rate of machine r ) = 1 / 36 r _ s ( rate of machine s ) = 1 / 12 lets say x machines are used to attain the desired rate , thus x / 36 + x / 12 = 1 / 2 ( desired r = 1 / 2 i . e . to complete the job in 2 hours ) ( x + 3 x ) / 36 = 1 / 2 4 x / 36 = 1 / 2 x = 9 / 2 . qa = 9 / 2 ( answer d )\"" - }, - { - "Answer": 3.723404255319149, - "Options": "a ) 3.5 , b ) 3.72 , c ) 4 , d ) 4.25 , e ) 4.5", - "Correct": "b", - "Explanation": "( 800 xtx 3 / 100 ) + ( 1400 xtx 5 / 100 ) = 350 \u00e2 \u2020 \u2019 t = 3.72 answer b" - }, - { - "Answer": 400, - "Options": "a ) 400 , b ) 500 , c ) 600 , d ) 700 , e ) 800", - "Correct": "a", - "Explanation": "30 % = 120 marks 1 % = 4 marks 100 % = 400 marks the answer is a ." - }, - { - "Answer": 8000.000000000171, - "Options": "a ) 4500 , b ) 7500 , c ) 5000 , d ) 8000 , e ) none of these", - "Correct": "d", - "Explanation": "\"sol . ( d ) let the sum be 100 . therefore , si = 100 \u00d7 5 \u00d7 2100 = 10100 \u00d7 5 \u00d7 2100 = 10 and ci = 100 ( 1 + 5100 ) 2 \u2212 100100 ( 1 + 5100 ) 2 \u2212 100 \u2234 = 100 \u00d7 21 \u00d7 2120 \u00d7 20 \u2212 100 = 414 = 100 \u00d7 21 \u00d7 2120 \u00d7 20 \u2212 100 = 414 difference of ci and si = 41 \u2044 4 - 10 = 1 \u2044 4 if the difference is 1 \u2044 4 , the sum = 100 = > if the difference is 20 , the sum = 400 \u00d7 20 = 8000 answer d\"" - }, - { - "Answer": 40000, - "Options": "a ) rs . 40000 , b ) rs . 36000 , c ) rs . 50000 , d ) rs . 45000 , e ) none of these", - "Correct": "a", - "Explanation": "\"let the monthly income of ajay be rs . x savings of ajay = x - ( 45 + 25 + 7.5 ) / 100 * x = 22.5 / 100 x 22.5 / 100 x = 9000 x = 40000 . answer : a\"" - }, - { - "Answer": 6000, - "Options": "a ) rs . 7500 , b ) rs . 7200 , c ) rs . 6000 , d ) rs . 5750 , e ) rs . 6750", - "Correct": "c", - "Explanation": "\"x * 12 : 2 x * 6 : 3 x * 4 1 : 1 : 1 1 / 3 * 18000 = 6000 answer : c\"" - }, - { - "Answer": 25, - "Options": "a ) 25 , b ) 60 , c ) 70 , d ) 80 , e ) 20", - "Correct": "a", - "Explanation": "\"a 500 * ( 25 / 100 ) = 125 - - - - 5 ? - - - - 1 = > rs . 25\"" - }, - { - "Answer": 225, - "Options": "a ) 225 , b ) 250 , c ) 275 , d ) 300 , e ) 325", - "Correct": "a", - "Explanation": "\"the area of a circle is pir ^ 2 , where r is the radius . the area of the big circle is 64 pi . the area of the small circle is 36 pi . the area a 1 between the circles is 28 pi . when the big circle ' s radius increases , the new area is 100 pi . when the small circle ' s radius decreases , the new area is 9 pi . the area a 2 between the circles is 91 pi . the ratio of a 2 / a 1 is 91 / 28 = 3.25 which is an increase of 225 % . the answer is a .\"" - }, - { - "Answer": 500, - "Options": "a ) rs . 400 , b ) rs . 450 , c ) rs . 500 , d ) rs . 550 , e ) rs . 650", - "Correct": "c", - "Explanation": "ratio of investments of a , b and c is 6000 : 8000 : 10000 = 3 : 4 : 5 . and also given that , profit share of \u2018 b \u2019 is rs . 1000 . now required difference is 5 \u2013 3 = 2 parts . therefore , required difference = 2 / 4 ( 1000 ) = rs . 500 . answer : c" - }, - { - "Answer": 60.00000000000001, - "Options": "a ) 70 , b ) 60 , c ) 10 , d ) 75 , e ) 85", - "Correct": "b", - "Explanation": "\"explanation : 80 / 100 * 90 - 70 / 100 * x = 30 72 - 70 / 100 * x = 30 72 - 30 = 70 / 100 * x 42 = 70 / 100 * x 42 * 100 / 70 = x 60 = x answer : option b\"" - }, - { - "Answer": 50, - "Options": "a ) 50 % , b ) 25 % , c ) 35 % , d ) 40 % , e ) 45 %", - "Correct": "a", - "Explanation": "cost price of article = 48 $ % of overhead cost = 25 net profit = 12 $ we need to calculate % markup net profit as % of cost price = ( 12 / 48 ) * 100 = 25 % total markup should be = 25 + 25 = 50 % answer a" - }, - { - "Answer": 0.2150000000000034, - "Options": "a ) 0.215 % , b ) 1.215 % , c ) 3.215 % , d ) 6.215 % , e ) 7.215 %", - "Correct": "a", - "Explanation": "\"let d initial price be 100 31 % rise now price = 131 / 100 * 100 = 131 10 % discount then price = 131 * 90 / 100 = 117.9 15 % discount then price = 117.9 * 85 / 100 = 100.215 so gain = 100.215 - 100 = 0.215 gain % = gain * 100 / cp = = > 0.215 * 100 / 100 = 0.215 % answer : a\"" - }, - { - "Answer": 520, - "Options": "a ) rs . 960 , b ) rs . 840 , c ) rs . 520 , d ) rs . 760 , e ) none", - "Correct": "c", - "Explanation": "\"solution t . d = ( b . g x 100 / r x t ) = rs . ( 120 x 100 / 10 x 3 ) = rs . 400 . b . d = rs ( 400 + 120 ) = rs . 520 . answer c\"" - }, - { - "Answer": 11.11111111111111, - "Options": "a ) 10 % , b ) 11 1 / 9 % , c ) 13 2 / 7 % , d ) 15 3 / 11 % , e ) 12 1 / 3 %", - "Correct": "b", - "Explanation": "\"let the original salary be $ 100 new salary = $ 90 increase on 90 = 10 increase on 100 = 10 / 90 * 100 = 11 1 / 9 % answer is b\"" - }, - { - "Answer": 40, - "Options": "a ) 16.12 % , b ) 16.66 % , c ) 16.56 % , d ) 40 % , e ) 18.1 %", - "Correct": "d", - "Explanation": "\"increase = ( 24 / 60 ) * 100 = ( 4 / 10 ) * 100 = 40 % . d\"" - }, - { - "Answer": 900, - "Options": "a ) s . 600 , b ) s . 800 , c ) s . 500 , d ) s . 900 , e ) s . 990", - "Correct": "d", - "Explanation": "\"let the cost of one toy = x . then , cost of 18 toys = 18 x . gain = 3 x . sp of 18 toys = rs . 18900 . gain = sp \u00e2 \u20ac \u201c cp 3 x = 18900 \u00e2 \u20ac \u201c 18 x 21 x = 18900 x = rs . 900 . answer : option d\"" - }, - { - "Answer": 483.8709677419355, - "Options": "a ) 400 , b ) 420 , c ) 480 , d ) 483.8 , e ) 600", - "Correct": "d", - "Explanation": "\"minimum no of mail to be sent for getting 300 responses at 62 % = 300 / 0.62 = 483.8 option d\"" - }, - { - "Answer": 37.5, - "Options": "a ) 37.5 % , b ) 38.5 % , c ) 42 % , d ) 27.5 % , e ) none", - "Correct": "a", - "Explanation": "\"sol . let marked price = rs . 100 . then , c . p . = rs . 64 . s . p = rs . 88 . \u2234 gain % = [ 24 / 64 * 100 ] % = 37.5 % . answer a\"" - }, - { - "Answer": 832, - "Options": "a ) 220 , b ) 230 , c ) 960 , d ) 832 , e ) 400", - "Correct": "d", - "Explanation": "\"c . p . = rs . x . then , 832 - x = x - 448 2 x = 1280 = > x = 640 required s . p . = 130 % of rs . 640 = 130 / 100 * 640 = rs . 832 . d\"" - }, - { - "Answer": 6580, - "Options": "a ) 6500 , b ) 6580 , c ) 7200 , d ) 7120 , e ) 6800", - "Correct": "b", - "Explanation": "6 % of customers do not pay taxes . 6 / 100 * 1000 customers do not pay taxes . 6 / 100 * 1000 = 60 therefore 1000 - 60 customers do pay taxes . 1000 - 60 = 940 940 * 7 days per week = 6580 b )" - }, - { - "Answer": 7.5, - "Options": "a ) 7.5 , b ) 8.0 , c ) 9.5 , d ) 9.0 , e ) 8.25", - "Correct": "a", - "Explanation": "\"rate of still water = 1 / 2 ( down stream + upstream ) = 1 / 2 ( 32 + 17 ) = 24.5 kmph rate of current = 1 / 2 ( down stream - upstream ) = 1 / 2 ( 32 - 17 ) = 1 / 2 ( 15 ) = 7.5 kmph answer is a .\"" - }, - { - "Answer": 76.05, - "Options": "a ) 76 % , b ) 77 % , c ) 78 % , d ) 79 % , e ) 80 %", - "Correct": "a", - "Explanation": "\"this question is a weighted average question with a series of dependent variables . the remaining portion of the class represents 100 % - 15 % - 50 % = 35 % of the class converting the portions of the class population to decimal weights , we find : class average = 0.15 x 100 + 0.50 x 78 + 0.35 x 63 = 76.05 the class average ( rounded ) is 76 % final answer a ) 76 %\"" - }, - { - "Answer": 27.499999999999993, - "Options": "a ) 12.50 % , b ) 27.50 % , c ) 14 % , d ) 14.50 % , e ) none", - "Correct": "b", - "Explanation": "\"sol . let c . p . = rs . 100 . then , marked price = rs . 150 . s . p . = 85 % of rs . 150 = rs . 127.5 . \u2234 gain % = 27.50 % . answer b\"" - }, - { - "Answer": 157.5, - "Options": "a ) 157.20 , b ) 157.29 , c ) 157.50 , d ) 157.30 , e ) 157.23", - "Correct": "c", - "Explanation": "\"( 3500 * 1.5 * 3 ) / 100 = > 157.50 answer : c\"" - }, - { - "Answer": 5555.555555555556, - "Options": "a ) $ 5555.555 , b ) $ 5543.22 , c ) $ 5568.000 , d ) $ 5366.521 , e ) $ 5365.66", - "Correct": "a", - "Explanation": "let the total amount be x then , ( 100 - 10 ) % of x = 3000 + 2000 90 % of x = 5000 90 x / 100 = 5000 x = $ 50000 / 9 x = $ 5555.555 answer is a" - }, - { - "Answer": 10, - "Options": "a ) 10 , b ) 15 , c ) 20 , d ) 18 , e ) 22", - "Correct": "a", - "Explanation": "let the original quantity be x then , vanaspati ghee in xkg = 40 x / 100 kg = 2 x / 5 kg ( 2 x / 5 ) / ( x + 10 ) = 20 / 100 2 x / ( 5 x + 50 ) = 1 / 5 x = 10 answer is a" - }, - { - "Answer": 30, - "Options": "a ) 20 % , b ) 25 % , c ) 30 % , d ) 35 % , e ) 40 %", - "Correct": "c", - "Explanation": "let p be the original price of the goods and let x be the rate after the markup . ( 1.75 p ) * x = 1.225 p x = 1.225 / 1.75 = 0.7 which is a discount of 30 % . the answer is c ." - }, - { - "Answer": 50, - "Options": "a ) 34 % , b ) 50 % , c ) 11.5 % , d ) 20 % , e ) 21.5 %", - "Correct": "b", - "Explanation": "\"let principal = p , then , s . i . = p and time = 8 years rate = [ ( 100 x p ) / ( p x 2 ) ] % = 50 % per annum . answer : b\"" - }, - { - "Answer": 36.00000000000001, - "Options": "a ) s . 12 , b ) s . 15 , c ) s . 18 , d ) s . 21 , e ) s . 36", - "Correct": "e", - "Explanation": "\"dividend on rs . 48 = rs . 9 / 100 x 48 = rs . 4.32 . rs . 12 is an income on rs . 100 . rs . 4.32 is an income on rs . 100 / 12 x 4.32 = rs . 36 . answer : option e\"" - }, - { - "Answer": 220, - "Options": "a ) 100 , b ) 120 , c ) 200 , d ) 220 , e ) 250", - "Correct": "d", - "Explanation": "\"p = 200 r = 10 % required population of town = p * ( 1 + r / 100 ) ^ t = 200 * ( 1 + 10 / 100 ) = 200 * ( 11 / 10 ) = 220 ( approximately ) answer is d\"" - }, - { - "Answer": 6.000000000000455, - "Options": "a ) 1 , b ) 2 , c ) 6 , d ) 4 , e ) 9", - "Correct": "c", - "Explanation": "\"3750 = d ( 100 / 4 ) 2 d = 6 answer : c\"" - }, - { - "Answer": 2200, - "Options": "a ) 648 , b ) 1800 , c ) 2200 , d ) 10800 , e ) 10900", - "Correct": "c", - "Explanation": "\"let the required number of bottles be x . more machines , more bottles ( direct proportion ) more minutes , more bottles ( direct proportion ) machines 6 : 10 : : 330 : x time ( in minutes ) 1 : 4 6 x 1 x x = 10 x 4 x 330 x = ( 10 x 4 x 330 ) / ( 6 ) x = 2200 . answer : c\"" - }, - { - "Answer": 1648.6431999999986, - "Options": "a ) $ 645.56 , b ) $ 1648.64 , c ) $ 954.26 , d ) $ 745.69 , e ) $ 1020.45", - "Correct": "b", - "Explanation": "\"principle = $ 20000 rate = 2 % half yearly = 4 half years amount = 20000 * ( 1 + 2 / 100 ) ^ 4 = 20000 * 51 / 50 * 51 / 50 * 51 / 50 * 51 / 50 = $ 21648.64 c . i . = 21648.64 - 20000 = $ 1648.64 answer is b\"" - }, - { - "Answer": 148000, - "Options": "a ) $ 234000 , b ) $ 227000 , c ) $ 148000 , d ) $ 479000 , e ) $ 337,000", - "Correct": "c", - "Explanation": "6 % x = 8,880 : x = selling price of house . x = $ 148,000 : solve for x correct answer c ." - }, - { - "Answer": 552, - "Options": "a ) $ 503 , b ) $ 504 , c ) $ 515 , d ) $ 543 , e ) $ 552", - "Correct": "e", - "Explanation": "\"explanation : cash price = $ 23 000 deposit = 10 % \u00e3 \u2014 $ 23 000 = $ 2300 loan amount = $ 23000 \u00e2 \u02c6 \u2019 $ 2300 number of payments = 60 = $ 20700 i = p * r * t / 100 i = 12420 total amount = 20700 + 12420 = $ 33120 regular payment = total amount / number of payments = 552 answer : e\"" - }, - { - "Answer": 85.71428571428571, - "Options": "a ) 66 % , b ) 75 % , c ) 86 % , d ) 116 % , e ) 150 %", - "Correct": "c", - "Explanation": "\"let the price of company a ' s assets be 100 price of assets of kw is 50 % more than company a ' s assets which is 150 price of assets of kw is 100 % more than company b ' s assets which means price of company b ' s assets is half the price of kw = 75 a + b = 175 kw = 150 kw / ( a + b ) * 100 = 150 / 175 * 100 = 85.7 % or 86 % answer : c\"" - }, - { - "Answer": 20, - "Options": "a ) 11 , b ) 10 , c ) 20 , d ) 16 , e ) 12", - "Correct": "c", - "Explanation": "\"7 * 5 : 10 * x = 7 : 10 x = 20 answer : c\"" - }, - { - "Answer": 50, - "Options": "a ) 20 % , b ) 33.3 % , c ) 40 % , d ) 50 % , e ) 66.6 %", - "Correct": "d", - "Explanation": "let the price of a ticket be rs . 100 , so 3 tickets cost 300 & 6 tickets cost 600 6 tickets purchased at price of 3 tickets ie . , for 300 , so amount saved s rs . 300 , % of 6 tickets = ( 300 / 600 ) * 100 = 50 % answer : d" - }, - { - "Answer": 544, - "Options": "a ) 228 , b ) 480 , c ) 267 , d ) 288 , e ) 544", - "Correct": "e", - "Explanation": "\"sp = 800 profit = 25 % cp = ( sp ) * [ 100 / ( 100 + p ) ] = 800 * [ 100 / 125 ] = 640 loss = 25 % = 25 % of 640 = rs . 96 sp = cp - loss = 640 - 96 = rs . 544 answer : e\"" - }, - { - "Answer": 6875, - "Options": "a ) 7450 , b ) 14900 , c ) 7400 , d ) 6875 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : cost price = 1650 / ( 0.12 + 0.12 ) = 2086 / 0.24 = rs . 6875 answer d\"" - }, - { - "Answer": 60, - "Options": "a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 65", - "Correct": "d", - "Explanation": "\"a hostel had provisions for 250 men for 48 days if 50 men leaves the hostel , remaining men = 250 - 50 = 200 we need to find out how long the food will last for these 200 men . let the required number of days = x days more men , less days ( indirect proportion ) ( men ) 250 : 200 : : x : 48 250 \u00d7 48 = 200 x 5 \u00d7 48 = 4 x x = 5 \u00d7 12 = 60 answer d\"" - }, - { - "Answer": 6876.1, - "Options": "a ) rs . 6876.10 , b ) rs . 4500 , c ) rs . 4600 , d ) rs . 3400 , e ) rs . 7500", - "Correct": "a", - "Explanation": "rebate = 6 % of rs . 6650 = rs . 6 x 6650 = rs . 399 . 100 sales tax = 10 % of rs . ( 6650 - 399 ) = rs . 10 x 6251 = rs . 625.10 100 final amount = rs . ( 6251 + 625.10 ) = rs . 6876.10 correct answer - a" - }, - { - "Answer": 6, - "Options": "a ) 1 kmph , b ) 7 kmph , c ) 6 kmph , d ) 5 kmph , e ) 4 kmph", - "Correct": "c", - "Explanation": "\"ds = 20 us = 8 s = ? s = ( 20 - 8 ) / 2 = 6 kmph answer : c\"" - }, - { - "Answer": 45, - "Options": "a ) s . 12 , b ) s . 15 , c ) s . 18 , d ) s . 21 , e ) s . 45", - "Correct": "e", - "Explanation": "\"dividend on rs . 60 = rs . 9 / 100 x 60 = rs . 5.4 . rs . 12 is an income on rs . 100 . rs . 5.4 is an income on rs . 100 / 12 x 5.4 = rs . 45 . answer : option e\"" - }, - { - "Answer": 450, - "Options": "a ) 450 , b ) 570 , c ) 480 , d ) 520 , e ) 550", - "Correct": "a", - "Explanation": "\"let the total number of valid votes be x . 70 % of x = 70 / 100 * x = 7 x / 10 number of votes secured by the other candidate = x - 7 x / 100 = 3 x / 10 given , 7 x / 10 - 3 x / 10 = 180 = > 4 x / 10 = 180 = > 4 x = 1800 = > x = 450 . answer : a\"" - }, - { - "Answer": 13230, - "Options": "a ) 13230.0 , b ) 12300.02 , c ) 16537.5 , d ) 15000.0 , e ) 16537.11", - "Correct": "a", - "Explanation": "\"p = rs . 12000 ; r = 10 % p . a . = 5 % per half - year ; t = 1 year = 2 half - year amount = [ 12000 * ( 1 + 5 / 100 ) 2 ] = ( 12000 * 21 / 20 * 21 / 20 ) = rs . 13230.00 answer : a\"" - }, - { - "Answer": 32, - "Options": "a ) $ 32 , b ) $ 34.31 , c ) $ 28.44 , d ) $ 67.54 , e ) $ 65.23", - "Correct": "a", - "Explanation": "let x be the price before the first discount . the price after the first discount is x - 25 % x ( price after first discount ) a second discount of 25 % of the discounted price after which the final price is 18 ( x - 25 % x ) - 25 % ( x - 25 % x ) = 18 solve for x x = $ 32 correct answer a" - }, - { - "Answer": 2400, - "Options": "a ) 2000 , b ) 2100 , c ) 2200 , d ) 2300 , e ) 2400", - "Correct": "e", - "Explanation": "ratio of share of rajan , rakesh nd mukesh = > 20000 : 25000 : 15000 = > 4 : 5 : 3 = > 4 * 12 : 5 * 4 : 3 * 8 [ since rakesh left after 4 months nd mukesh joined after 4 months . . . ] = > 12 : 5 : 6 share of rajan = > 4600 * 12 / 23 = 2400 answer : e" - }, - { - "Answer": 100, - "Options": "a ) 300 , b ) 288 , c ) 270 , d ) 100 , e ) 281", - "Correct": "d", - "Explanation": "( 80 / 100 ) * x + 20 = x 4 x + 100 = 5 x x = 100 answer : : d" - }, - { - "Answer": 28.205128205128204, - "Options": "a ) 28 % , b ) 25 % , c ) 55 % , d ) 28 % , e ) 28.2 %", - "Correct": "e", - "Explanation": "\"780 - - - 220 100 - - - ? = > 28.2 % answer : e\"" - }, - { - "Answer": 16.666666666666664, - "Options": "a ) 16 % , b ) 16.66 % , c ) 17.8 % , d ) 18 % , e ) 19.5 %", - "Correct": "b", - "Explanation": "\"increase = ( 10 / 60 ) * 100 = ( 1 / 6 ) * 100 = 16.66 % . b\"" - }, - { - "Answer": 29.799999999999997, - "Options": "a ) 29.8 % , b ) 16 % , c ) 18 % , d ) 82 % , e ) 23 %", - "Correct": "a", - "Explanation": "\"total cp = rs . 42000 + rs . 8000 = rs . 50000 and sp = rs . 64900 profit ( % ) = ( 64900 - 50000 ) / 50000 * 100 = 29.8 % answer : a\"" - }, - { - "Answer": 9.00000000000001, - "Options": "a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", - "Correct": "e", - "Explanation": "\"p makes x sprockets per hour . then q makes 1.1 x sprockets per hour . 990 / x = 990 / 1.1 x + 10 1.1 ( 990 ) = 990 + 11 x 11 x = 99 x = 9 the answer is e .\"" - }, - { - "Answer": 64.10000000000036, - "Options": "a ) rs 62.10 , b ) rs 63.10 , c ) rs 64.10 , d ) rs 65.10 , e ) none of these", - "Correct": "c", - "Explanation": "explanation : s . i . = 1000 \u2217 10 \u2217 4 / 100 = 400 c . i . = [ 1000 ( 1 + 10 / 100 ) 4 \u2212 1000 ] = 464.10 so difference between simple interest and compound interest will be 464.10 - 400 = 64.10 option c" - }, - { - "Answer": 10, - "Options": "a ) $ 4 , b ) $ 8 , c ) $ 12 , d ) $ 16 , e ) $ 10", - "Correct": "e", - "Explanation": "solution amount ( ci ) = p + ( 1 + r / n ) ^ nt = 5000 + ( 1 + 0.10 / 2 ) ^ 2 = 5410 amount ( si ) = p + ptr / 100 = 5000 + ( 5000 * 1 * 10 / 100 ) = 5400 difference = 5410 - 5400 = 10 $ e" - }, - { - "Answer": 130.00000000000003, - "Options": "a ) 80 , b ) 90 , c ) 110 , d ) 120 , e ) 130", - "Correct": "e", - "Explanation": "\"33 1 / 3 % = 1 / 3 1 / 3 \u00d7 390 = 130 e )\"" - }, - { - "Answer": 2000, - "Options": "a ) 1050 , b ) 1220 , c ) 1250 , d ) 2000 , e ) 1110", - "Correct": "d", - "Explanation": "\"p - 1820 = ( p * 3 * 3 ) / 100 p = 2000 answer : d\"" - }, - { - "Answer": 3600, - "Options": "a ) s . 3600 , b ) s . 5000 , c ) s . 4500 , d ) s . 4800 , e ) s . 5800", - "Correct": "a", - "Explanation": "\"ci = 3969 , r = 5 , n = 2 ci = p [ 1 + r / 100 ] ^ 2 = p [ 1 + 5 / 100 ] ^ 2 3969 = p [ 21 / 20 ] ^ 2 3969 [ 20 / 21 ] ^ 2 3600 answer : a\"" - }, - { - "Answer": 15, - "Options": "a ) 15 , b ) 20 , c ) 30 , d ) 35 , e ) 45", - "Correct": "a", - "Explanation": "\"s = 100 not ( r and b ) = 35 only r = 20 ( r and b ) / b = 1 / 2 let ( r and b ) = x only b = 2 x so now , 20 + 35 + x + 2 x = 100 x = 15 a ans\"" - }, - { - "Answer": 10, - "Options": "a ) 25 % , b ) 30 % , c ) 50 % , d ) 20 % , e ) 10 %", - "Correct": "e", - "Explanation": "\"s . p . = $ 110 gain = $ 10 c . p . = 110 - 10 = 100 gain % = 10 / 100 * 100 % = 10 % answer is e\"" - }, - { - "Answer": 600, - "Options": "a ) 600 , b ) 450 , c ) 650 , d ) 500 , e ) 550", - "Correct": "a", - "Explanation": "simple interest for 5 year = rs . ( 1020 - 720 ) = rs . 300 . simple interest for 2 year = rs . ( 300 / 5 \u00d7 2 ) = rs . 120 . principal = rs . ( 720 - 120 ) = rs . 600 . answer : a" - }, - { - "Answer": 200, - "Options": "a ) s . 350 , b ) s . 700 , c ) s . 200 , d ) s . 600 , e ) s . 500", - "Correct": "c", - "Explanation": "\"at 5 % more rate , the increase in s . i for 10 years = rs . 100 ( given ) so , at 5 % more rate , the increase in si for 1 year = 100 / 10 = rs . 10 / - i . e . rs . 10 is 5 % of the invested sum so , 1 % of the invested sum = 10 / 5 therefore , the invested sum = 10 \u00d7 100 / 5 = rs . 200 answer : c\"" - }, - { - "Answer": 25, - "Options": "a ) 25 , b ) 19 , c ) 39 , d ) 61 , e ) 16", - "Correct": "a", - "Explanation": "\"let the required number of bottles be x . more weavers , more mats ( direct proportion ) more days , more mats ( direct proportion ) wavers 4 : 10 : : 4 : x days 4 : 10 4 * 4 * x = 10 * 10 * 4 x = ( 10 * 10 * 4 ) / ( 4 x 4 ) x = 25 . answer is a .\"" - }, - { - "Answer": 112.00000000000001, - "Options": "a ) 80 % , b ) 105 % , c ) 120 % , d ) 112 % , e ) 138 %", - "Correct": "d", - "Explanation": "\"0,112 r = x / 100 * 0.1 r answer d\"" - }, - { - "Answer": 23.749999999999982, - "Options": "a ) 12.50 % , b ) 13.50 % , c ) 14 % , d ) 23.75 % , e ) none", - "Correct": "d", - "Explanation": "\"sol . let c . p . = rs . 100 . then , marked price = rs . 165 . s . p . = 75 % of rs . 165 = rs . 123.75 . \u2234 gain % = 23.75 % . answer d\"" - }, - { - "Answer": 124.95, - "Options": "a ) 105 kg , b ) 103 kg , c ) 108 kg , d ) 125 kg , e ) 117 kg", - "Correct": "d", - "Explanation": "\"d 125 kg 300 \u00e3 \u2014 0.7 \u00e3 \u2014 0.7 \u00e3 \u2014 0.85 = 125 kg .\"" - }, - { - "Answer": 11, - "Options": "a ) 9 % , b ) 10 % , c ) 105 / 8 % , d ) 11 % , e ) 12 %", - "Correct": "d", - "Explanation": "the equation we can form the question : return on total investment = sum of individual investments ( 500 + 1500 ) ( 10 ) = ( 500 \u00e2 \u02c6 \u2014 7 ) + ( 1500 x ) , where x is the return on investment of 1500 . solving the equation , we get x = 11 % ( option d ) answer : d" - }, - { - "Answer": 63.99999999999999, - "Options": "a ) 28 % , b ) 30 % , c ) 32 % , d ) 36 % , e ) 64 %", - "Correct": "e", - "Explanation": "let the initial value of baseball card = 100 after first year , value of baseball card = ( 1 - 60 / 100 ) * 100 = 40 after second year , value of baseball card = ( 1 - 10 / 100 ) * 40 = 36 total percent decrease of the card ' s value over the two years = ( 100 - 36 ) / 100 * 100 % = 64 % answer e" - }, - { - "Answer": 5.000000000000455, - "Options": "a ) s . 10 , b ) s . 2 , c ) s . 5 , d ) s . 3 , e ) s . 4", - "Correct": "c", - "Explanation": "\"3125 = d ( 100 / 4 ) 2 d = 5 answer : c\"" - }, - { - "Answer": 350.00000000000006, - "Options": "a ) 228 , b ) 350 , c ) 289 , d ) 500 , e ) 821", - "Correct": "b", - "Explanation": "\"p - 238 = ( p * 4 * 8 ) / 100 p = 350 answer : b\"" - }, - { - "Answer": 6.316666666666666, - "Options": "a ) 6.25 , b ) 6.28 , c ) 6.31 , d ) 6.19 , e ) 6.21", - "Correct": "c", - "Explanation": "\"required run rate = [ 200 - ( 2.1 * 5 ) ] / 30 = 189.50 / 30 = 6.31 answer : c\"" - }, - { - "Answer": 16197.120000000017, - "Options": "a ) s : 10123.19 , b ) s : 10123.29 , c ) s : 10123.20 , d ) s : 10123.28 , e ) s : 16197.12", - "Correct": "e", - "Explanation": "\"amount = [ 40000 * ( 1 + 12 / 100 ) 3 ] = 40000 * 28 / 25 * 28 / 25 * 28 / 25 = rs . 56197.12 c . i . = ( 56197.12 - 40000 ) = rs : 16197.12 answer : e\"" - }, - { - "Answer": 28500, - "Options": "a ) rs . 22000 , b ) rs . 24500 , c ) rs . 26500 , d ) rs . 28500 , e ) none of these", - "Correct": "d", - "Explanation": "explanation : question seems a bit tricky , but it is very simple . just calculate all cost price , then get 150 % of cp . c . p . = 13000 + 5000 + 1000 = 19000 150 % of 19000 = 150 / 100 * 19000 = 28500 option d" - }, - { - "Answer": 40, - "Options": "a ) 39 % , b ) 20 % , c ) 40 % , d ) 74 % , e ) 83 %", - "Correct": "c", - "Explanation": "\"900 - - - - 360 100 - - - - ? = > 40 % answer : c\"" - }, - { - "Answer": 24, - "Options": "a ) 28 m , b ) 20 m , c ) 22 m , d ) 23 m , e ) 24 m", - "Correct": "e", - "Explanation": "speed ratio = 1 : 6 / 7 = 7 : 6 time ratio = 6 : 4 1 - - - - - - - - 6 4 - - - - - - - - - ? = > 24 m answer : e" - }, - { - "Answer": 23, - "Options": "a ) 9 % , b ) 10 % , c ) 23 % , d ) 21 % , e ) 22 %", - "Correct": "c", - "Explanation": "\"the equation we can form the question : return on total investment = sum of individual investments ( 500 + 1500 ) ( 19 ) = ( 500 \u00e2 \u02c6 \u2014 7 ) + ( 1500 x ) , where x is the return on investment of 1500 . solving the equation , we get x = 23 % ( option c ) answer : c\"" - }, - { - "Answer": 95, - "Options": "a ) 69 . , b ) 73 . , c ) 81 . , d ) 95 . , e ) 108 .", - "Correct": "d", - "Explanation": "\"total students = 450 boys = 320 , girls = 130 total playing soccer = 250 86 % of 250 = 215 are boys who play soccer . girls who play soccer = 35 . total girls who do not play soccer = 130 - 35 = 95 . correct option : d\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 16 % , b ) 33.33 % , c ) 17 % , d ) 17.61 % , e ) 17.56 %", - "Correct": "b", - "Explanation": "\"increase = ( 20 / 60 ) * 100 = ( 2 / 6 ) * 100 = 33.33 % . b\"" - }, - { - "Answer": 12499.999999999998, - "Options": "a ) 13500 , b ) 12000 , c ) 12500 , d ) 15000 , e ) 15500", - "Correct": "c", - "Explanation": "\"let the total worth of the stock be rs . x . the sp of 20 % of the stock = 1 / 5 * x * 6 / 5 = 6 x / 25 the sp of 80 % of the stock = 4 / 5 * x * 0.9 = 24 x / 25 total sp = 6 x / 25 + 18 x / 25 = 49 x / 50 overall loss = x - 24 x / 50 = x / 25 x / 25 = 500 = > x = 12500 answer : c\"" - }, - { - "Answer": 9200, - "Options": "a ) 9000 , b ) 3000 , c ) 5000 , d ) 1300 , e ) 9200", - "Correct": "e", - "Explanation": "p - 2336 = ( p * 12 * 3 ) / 100 p = 9200 answer : e" - }, - { - "Answer": 9649.122807017544, - "Options": "a ) s . 6000 , b ) s . 9000 , c ) s . 10800 , d ) s . 9649 , e ) s . 9980", - "Correct": "d", - "Explanation": "\"let actual price was 100 . after three successive discount this will become , 100 = = 20 % discount = > 80 = = 10 % discount = > 72 = = 5 % discount = 68.4 now compare , 68.4 = 6600 1 = 6600 / 68.4 100 = ( 6600 * 100 ) / 68.4 = rs . 9649 . answer : option d\"" - }, - { - "Answer": 800, - "Options": "a ) 299 , b ) 277 , c ) 800 , d ) 289 , e ) 271", - "Correct": "c", - "Explanation": "\"( 40 / 100 ) * x \u2013 ( 20 / 100 ) * 650 = 190 2 / 5 x = 320 x = 800 answer : c\"" - }, - { - "Answer": 34.7, - "Options": "a ) 19 , b ) 19.7 , c ) 21.3 , d ) 31.5 , e ) 34.7", - "Correct": "e", - "Explanation": "\"total cost of the items he purchased = rs . 40 given that out of this rs . 40 , 30 % is given as tax = > total tax incurred = 30 % = rs . 30 / 100 let the cost of the tax free items = x given that tax rate = 6 % \u2234 ( 40 \u2212 30 / 100 \u2212 x ) 6 / 100 = 30 / 100 \u21d2 6 ( 40 \u2212 0.3 \u2212 x ) = 30 \u21d2 ( 40 \u2212 0.3 \u2212 x ) = 5 \u21d2 x = 40 \u2212 0.3 \u2212 5 = 34.7 e )\"" - }, - { - "Answer": 58.666666666666664, - "Options": "a ) rs . 49.17 , b ) rs . 51.03 , c ) rs . 58.66 , d ) rs . 55.33 , e ) none of the above", - "Correct": "c", - "Explanation": "55 * 10 = 550 66 * 5 = 330 880 / 15 = 58.66 answer : c" - }, - { - "Answer": 125, - "Options": "a ) 25 % , b ) 50 % , c ) 75 % , d ) 125 % , e ) 150 %", - "Correct": "d", - "Explanation": "\"let the radius of medium pizza be r . then the radius of large pizza is 1.5 r . the area of the medium pizza is pi * r ^ 2 the area of the large pizza is pi * ( 1.5 * r ) ^ 2 = 2.25 * pi * r ^ 2 , an increase of 125 % . the answer is d .\"" - }, - { - "Answer": 22.4, - "Options": "a ) 22.4 , b ) 22 , c ) 20 , d ) 19.2 , e ) none of these", - "Correct": "a", - "Explanation": "c . p . of mixture = 80 \u00d7 15 + 20 \u00d7 20 / 80 + 20 = 16 \u2234 s . p . = ( 100 + 40 ) / 100 \u00d7 16 = 22.4 answer a" - }, - { - "Answer": 58, - "Options": "a ) rs . 49.17 , b ) rs . 58 , c ) rs . 54.17 , d ) rs . 55.33 , e ) none of the above", - "Correct": "b", - "Explanation": "\"54 * 10 = 540 66 * 5 = 330 870 / 15 = 58 answer : b\"" - }, - { - "Answer": 5, - "Options": "a ) 2 , b ) 4 , c ) 5 , d ) 6 , e ) 8", - "Correct": "c", - "Explanation": "\"for lost , use negative . for gain , use positive . progress = - 5 + 10 = 5 yards c\"" - }, - { - "Answer": 17, - "Options": "a ) 17 % , b ) 10 % , c ) 21 % , d ) 16 % , e ) none", - "Correct": "a", - "Explanation": "\"solution : given ratio of ram and shayam ' s weight = 2 : 5 hence , ( x - 15 ) / ( 15 - 10 ) = 2 / 5 or , x = 17 % . answer : option a\"" - }, - { - "Answer": 2.3529411764705883, - "Options": "a ) 2.35 % , b ) 5.95 % , c ) 4.35 % , d ) 5.33 % , e ) 6.33 %", - "Correct": "a", - "Explanation": "\"100 = ( 850 * 5 * r ) / 100 r = 2.35 % answer : a\"" - }, - { - "Answer": 45, - "Options": "a ) 15 % , b ) 25 % , c ) 35 % , d ) 40 % , e ) 45 %", - "Correct": "e", - "Explanation": "\"cost price of article = 48 $ % of overhead cost = 20 net profit = 12 $ we need to calculate % markup net profit as % of cost price = ( 12 / 48 ) * 100 = 25 % total markup should be = 25 + 20 = 45 % answer e\"" - }, - { - "Answer": 600, - "Options": "a ) s . 1200 , b ) s . 1300 , c ) s . 600 , d ) s . 800 , e ) s . 1200", - "Correct": "c", - "Explanation": "\"at 5 % more rate , the increase in s . i for 10 years = rs . 300 ( given ) so , at 5 % more rate , the increase in si for 1 year = 300 / 10 = rs . 30 / - i . e . rs . 30 is 5 % of the invested sum so , 1 % of the invested sum = 30 / 5 therefore , the invested sum = 30 \u00d7 100 / 5 = rs . 600 answer : c\"" - }, - { - "Answer": 5000, - "Options": "a ) 8000 , b ) 6000 , c ) 5000 , d ) 4000 , e ) 3000", - "Correct": "c", - "Explanation": "\"simple way to solve this question is to use options . from si , we know that x * y = 25,000 . now , put the value of x = 5000 , we will have y = 5 % to calculate ci , now , we know 1 st year amount = 5000 + 5 % of 5000 = 5250 . 2 nd year , amount = 5250 + 5 % of 5250 = 5512.50 . we can see after 2 years interest = 5512.50 - 5000 = 512.50 hence , it satisfies the question . hence c is the correct answer\"" - }, - { - "Answer": 1250, - "Options": "a ) 1000 meters , b ) 1050 meters , c ) 1200 meters , d ) 1250 meters , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : we need to get the answer in meters . so we will first of change distance from km / hour to meter / sec by multiplying it with 5 / 18 and also change 15 minutes to seconds by multiplying it with 60 . answer : d\"" - }, - { - "Answer": 19.047619047619037, - "Options": "a ) 19 , b ) 25 , c ) 77 , d ) 88 , e ) 11", - "Correct": "a", - "Explanation": "\"840 - - - 160 100 - - - ? = > 19 % answer : a\"" - }, - { - "Answer": 119, - "Options": "a ) a ) 125 , b ) b ) 119 , c ) c ) 153 , d ) d ) 721 , e ) e ) 159", - "Correct": "b", - "Explanation": "\"44 + 32 + 10 = 86 % 100 \u2013 84 = 14 % 850 * 14 / 100 = 119 answer : b\"" - }, - { - "Answer": 83.33333333333331, - "Options": "a ) 4 % , b ) 10 % , c ) 83.33 % , d ) 90.33 % , e ) 20 %", - "Correct": "c", - "Explanation": "\"no of employees = 100 ( say ) men = 70 women = 30 men speaking french = 0.5 * 70 = 35 employees speaking french = 0.4 * 100 = 40 therefore women speaking french = 40 - 35 = 5 and women not speaking french = 30 - 5 = 25 % of women not speaking french = 25 / 30 * 100 = 83.33 % answer c\"" - }, - { - "Answer": 10, - "Options": "a ) 10 , b ) 37 , c ) 27 , d ) 18 , e ) 19", - "Correct": "a", - "Explanation": "let the total profit be rs . z . then , b ' s share = rs . 2 z / 3 , a ' s share = rs . ( z - 2 z / 3 ) = rs . z / 3 . a : b = z / 3 : 2 z / 3 = 1 : 2 let the total capital be rs , x and suppose b ' s money was used for x months . then . ( 1 ( x ) / 4 * 15 ) / ( 3 x ) / 4 * y ) = 1 / 2 < = > y = ( 15 * 2 / 3 ) = 10 . thus , b ' s money was used for 10 months . answer : a ) 10 months" - }, - { - "Answer": 21725, - "Options": "a ) 34778 , b ) 26888 , c ) 2899 , d ) 17600 , e ) 21725", - "Correct": "e", - "Explanation": "\"price at which the tv set is bought = rs . 15,500 discount offered = 20 % marked price = 15500 * 100 / 80 = rs . 19375 the total amount spent on transport and installation = 125 + 250 = rs . 375 \\ total price of tv set = 19375 + 375 = rs . 19750 the price at which the tv should be sold to get a profit of 10 % if no discount was offered = 19750 * 110 / 100 = rs . 21725 answer : e\"" - }, - { - "Answer": 11875, - "Options": "a ) s . 7375 , b ) s . 8379 , c ) s . 9875 , d ) s . 10875 , e ) s . 11875", - "Correct": "e", - "Explanation": "explanation : ratio of suresh and ramesh ' s share = 24,000 : 40,000 = 3 : 5 ramesh ' s share = rs . ( 19000 x 5 / 8 ) = rs . 11875 answer : e" - }, - { - "Answer": 23999.999999999996, - "Options": "a ) rs . 8000 , b ) rs . 4000 , c ) rs . 5000 , d ) rs . 6000 , e ) rs . 24000", - "Correct": "e", - "Explanation": "\"c . i - s . i = 60 si = ( x * 2 * 5 ) / 100 = x / 10 ci = { x * ( 1 + 5 / 100 ) ^ 2 - x } = 41 x / 400 ci - si = 41 x / 400 - x / 10 = 60 x = 24000 answer : e\"" - }, - { - "Answer": 500, - "Options": "a ) 400 , b ) 420 , c ) 480 , d ) 500 , e ) 600", - "Correct": "d", - "Explanation": "\"minimum no of mail to be sent for getting 300 responses at 60 % = 300 / 0.6 = 500 option d\"" - }, - { - "Answer": 15, - "Options": "a ) 15 , b ) 20 , c ) 30 , d ) 35 , e ) 45", - "Correct": "a", - "Explanation": "\"s = 100 not ( t and b ) = 35 only t = 20 ( t and b ) / b = 1 / 2 let ( t and b ) = x only b = 2 x so now , 20 + 35 + x + 2 x = 100 x = 15 a ans\"" - }, - { - "Answer": 2000, - "Options": "a ) 1750 , b ) 4000 , c ) 3500 , d ) 2000 , e ) 1000", - "Correct": "d", - "Explanation": "\"principal = ( 100 * 1300 ) / ( 5 * 13 ) = rs . 2000 answer : d\"" - }, - { - "Answer": 891.0000000000001, - "Options": "a ) $ 900 , b ) $ 891 , c ) $ 915 , d ) $ 715 , e ) $ 795", - "Correct": "b", - "Explanation": "p = $ 1100 r = 10 % t = 2 years machine value after 2 years = p [ ( 1 - r / 100 ) ^ t ] = 1100 * 9 / 10 * 9 / 10 = $ 891 answer is b" - }, - { - "Answer": 0.8038461538461539, - "Options": "a ) 221 / 250 , b ) 199 / 250 , c ) 33 / 50 , d ) 8 / 25 , e ) 209 / 260", - "Correct": "e", - "Explanation": "the number of people younger than 70 years old is 2600 - 800 = 1800 the number of females older than 70 years old is 0.6 * 850 = 510 then the number of males older than 70 years old is 800 - 510 = 290 . the number of people who are either male or younger than 70 is 1800 + 290 = 2090 . p ( a person is younger than 70 or male ) = 2090 / 2600 = 209 / 260 the answer is e ." - }, - { - "Answer": 3, - "Options": "a ) rs . 2.50 , b ) rs . 3 , c ) rs . 3.75 , d ) rs . 4 , e ) rs . 5", - "Correct": "b", - "Explanation": "s . i = ( 1000 * 10 * 4 ) / 100 = rs . 400 c . i = 1200 * 1 + 5 / 100 ) 2 \u2013 1200 = 123 . difference = rs . ( 123 - 120 ) = rs . 3 answer : b" - }, - { - "Answer": 1.69, - "Options": "a ) 1.69 % , b ) 1.74 % , c ) 1.84 % , d ) 1.47 % , e ) 1.24 %", - "Correct": "a", - "Explanation": "\"sp of each car is rs . 325475 , he gains 13 % on first car and losses 13 % on second car . in this case , there will be loss and percentage of loss is given by = [ ( profit % ) ( loss % ) ] / 100 = ( 13 ) ( 13 ) / 100 % = 1.69 % answer : a\"" - }, - { - "Answer": 2.8656716417910446, - "Options": "a ) 1.86 , b ) 2.86 , c ) 4.86 , d ) 3.86 , e ) 5.86", - "Correct": "b", - "Explanation": "\"40 * ( 40 / 100 ) = 16 - - - 67 ? - - - 12 = > rs . 2.86 answer : b\"" - }, - { - "Answer": 1331.0000000000005, - "Options": "a ) s . 1300 , b ) s . 1005 , c ) s . 1031 , d ) s 1331 , e ) s . 1120", - "Correct": "d", - "Explanation": "\"amount = [ 1000 * ( 1 + 10 / 100 ) 3 ] = 1000 * 11 / 10 * 11 / 10 * 11 / 10 = rs . 1331 answer : d\"" - }, - { - "Answer": 15, - "Options": "a ) 13 % , b ) 14 % , c ) 15 % , d ) 16 % , e ) 17 %", - "Correct": "c", - "Explanation": "number of ducks in small pond = 30 green ducks in small pond = 20 % of 30 = 6 ducks number of ducks in large pond = 50 green ducks in large pond = 12 % of 50 = 6 ducks total number of ducks = 30 + 50 = 80 total number of green ducks = 6 + 6 = 12 ducks percentage of green ducks = 12 / 80 * 100 = 15 % answer : c" - }, - { - "Answer": 9800, - "Options": "a ) 9800 , b ) 96288 , c ) 26667 , d ) 1662 , e ) 2882", - "Correct": "a", - "Explanation": "\"( 8000 * 3 * 2.5 ) / 100 = 600 9200 - - - - - - - - 9800 answer : a\"" - }, - { - "Answer": 25, - "Options": "a ) 22 % , b ) 25 % , c ) 28 % , d ) 31 % , e ) 34 %", - "Correct": "b", - "Explanation": "\"let x be mork ' s income , then mindy ' s income is 4 x . the total tax paid is 0.45 x + 0.8 x = 1.25 x 1.25 x / 5 x = 0.25 the answer is b .\"" - }, - { - "Answer": 600, - "Options": "a ) rs . 480 , b ) rs . 520 , c ) rs . 600 , d ) rs . 960 , e ) none", - "Correct": "c", - "Explanation": "solution t . d = ( b . g x 100 / rate x time ) = rs . ( 24 x 100 / 10 x 2 ) = rs . 120 . p . w = ( 100 x t . d / rate x time ) = rs . ( 100 x 120 / 10 x 2 ) = rs . 600 . answer c" - }, - { - "Answer": 25, - "Options": "a ) 50 % , b ) 32 % , c ) 25 % , d ) 43 % , e ) 29 %", - "Correct": "c", - "Explanation": "\"let the original salary be $ 100 new salary = $ 80 increase on 80 = 20 increase on 100 = 20 / 80 * 100 = 25 % answer is c\"" - }, - { - "Answer": 6000, - "Options": "a ) 4000 , b ) 6000 , c ) 4400 , d ) 4500 , e ) none of these", - "Correct": "b", - "Explanation": "\"let the number be a given , 10 / 100 * 30 / 100 * 50 / 100 * a = 90 = > 1 / 10 * 3 / 10 * 1 / 2 * a = 90 = > a = 10 * 20 * 10 * 2 = 6000 . answer : b\"" - }, - { - "Answer": 370, - "Options": "a ) s . 340 , b ) s . 362 , c ) s . 370 , d ) s . 382 , e ) s . 390", - "Correct": "c", - "Explanation": "john : rose : tom ratio of their investments = 18000 \u00d7 12 : 12000 \u00d7 9 : 9000 \u00d7 8 = 6 : 3 : 2 the difference between rose \u2019 s and tom \u2019 s share = 1 share : . i . e . = rs . 4070 \u00d7 1 / 11 = rs . 370 . c )" - }, - { - "Answer": 698, - "Options": "a ) 670 , b ) 664 , c ) 698 , d ) 744 , e ) 700", - "Correct": "c", - "Explanation": "\"since both peter and david invested the same amount of money at the same rate , they would earn same interest per year . david invested for one year more than peter and hence he got interest amount for one more year . interest earned per year = amount received by david - amount received by peter = 854 - 815 = 39 interest earned for 3 years = 39 * 3 = 117 amount invested = 815 - 117 = 698 answer : c\"" - }, - { - "Answer": 1500, - "Options": "a ) 1000 m , b ) 1250 m , c ) 1500 m , d ) 1800 m , e ) 2300 m", - "Correct": "c", - "Explanation": "\"hint : to find the answer in meter , we will first convert distance from km / hour to meter / sec by multiplying it with 5 / 18 . also , change 15 minutes to seconds by multiplying it with 60 . distance = speed x time 1 . convert speed into m / sec : 6 x 5 / 18 m / s = 1.66 m / s 2 . convert time from minutes into seconds = 15 x 60 s = 900 sec 3 . calculate : distance = 1.66 x 900 = 1500 m answer is c\"" - }, - { - "Answer": 25, - "Options": "a ) 20 % , b ) 25 % , c ) 30 % , d ) 35 % , e ) 40 %", - "Correct": "b", - "Explanation": "\"the percent of the population who are employed females is 60 - 45 = 15 % the percent of employed people who are female is 15 % / 60 % = 25 % . the answer is b .\"" - }, - { - "Answer": 4368, - "Options": "a ) 4368 , b ) 2678 , c ) 5460 , d ) 1976 , e ) 1671", - "Correct": "a", - "Explanation": "\"4000 * 104 / 100 * 105 / 100 = > 4368 answer : a\"" - }, - { - "Answer": 0.3333333333333333, - "Options": "a ) 2 / 7 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 5 / 7", - "Correct": "b", - "Explanation": "\"let assume there are 100 students of which 70 are male and 30 are females if 30 are married then 70 will be single . now its given that two - sevenths of the male students are married that means 2 / 7 of 70 = 20 males are married if 30 is the total number of students who are married and out of that 20 are males then the remaining 10 will be females who are married . total females = 30 married females = 10 then single females = 30 - 10 = 20 we need to find the fraction of female students who are single i . e single female students / total female student = 10 / 30 = 1 / 3 [ b ]\"" - }, - { - "Answer": 75, - "Options": "a ) 20 % , b ) 33.3 % , c ) 40 % , d ) 50 % , e ) 75 %", - "Correct": "e", - "Explanation": "\"let the price of a ticket be rs . 100 , so 3 tickets cost 300 & 12 tickets cost 1200 12 tickets purchased at price of 3 tickets ie . , for 300 , so amount saved s rs . 900 , % of 5 tickets = ( 900 / 1200 ) * 100 = 75 % answer : e\"" - }, - { - "Answer": 185.71428571428572, - "Options": "a ) 110 , b ) 120 , c ) 186 , d ) 140 , e ) 150", - "Correct": "c", - "Explanation": "\"he secured 42 marks nd fail by 23 marks so total marks for pass the examinatn = 65 let toal marks x x * 35 / 100 = 65 x = 186 answer : c\"" - }, - { - "Answer": 23.88663967611336, - "Options": "a ) 40 , b ) 3000 / 11 , c ) 5900 / 247 , d ) 2790 / 11 , e ) 2709 / 8", - "Correct": "c", - "Explanation": "\"cp = 114 * 13 = 1482 and sp = 108 * 17 = 1836 gain % = 100 * ( 1836 - 1482 ) / 1482 = 5900 / 247 answer : c\"" - }, - { - "Answer": 2.0408163265306145, - "Options": "a ) 2.04 % , b ) 5.36 % , c ) 4.26 % , d ) 6.26 % , e ) 7.26 %", - "Correct": "a", - "Explanation": "\"his percentage gain is 100 * 20 / 980 as he is gaining 20 units for his purchase of 980 units . so 2.04 % . . answer : a\"" - }, - { - "Answer": 2400, - "Options": "a ) 20 , b ) 120 , c ) 360 , d ) 2400 , e ) 2820", - "Correct": "d", - "Explanation": "\"let the number x . then , 20 % of x = 400 x = ( 400 * 100 ) / 20 = 2000 120 % of x = ( 120 / 100 * 2000 ) = 2400 . answer : d\"" - }, - { - "Answer": 15, - "Options": "a ) 60 , b ) 30 , c ) 15 , d ) 75 , e ) 100", - "Correct": "c", - "Explanation": "\"explanation : 50 / 100 * 100 - 20 / 100 * x = 47 50 - 20 / 100 * x = 47 3 = 20 / 100 * x 3 * 100 / 20 = x 15 = x answer : option c\"" - }, - { - "Answer": 2520, - "Options": "a ) 2520 , b ) 1800 , c ) 2700 , d ) 10800 , e ) none of these", - "Correct": "a", - "Explanation": "\"solution let the required number of bottles be x . more machines , more bottles ( direct proportion ) more minutes , more bottles ( direct proportion ) \u00e2 \u02c6 \u00b4 6 \u00e3 \u2014 1 \u00e3 \u2014 x = 14 \u00e3 \u2014 4 \u00e3 \u2014 270 \u00e2 \u2021 \u201d x = 14 x 4 x 270 / 6 = 2520 . answer a\"" - }, - { - "Answer": 20.185185185185187, - "Options": "a ) 12 % , b ) 16 % , c ) 20.18 % , d ) 82 % , e ) 23 %", - "Correct": "c", - "Explanation": "\"total cp = rs . 42000 + rs . 12000 = rs . 54000 and sp = rs . 64900 profit ( % ) = ( 64900 - 54000 ) / 54000 * 100 = 20.18 % answer : c\"" - }, - { - "Answer": 55.371428571428574, - "Options": "a ) 40 % , b ) 55.4 % , c ) 57 % , d ) 60 % , e ) 62 %", - "Correct": "b", - "Explanation": "\"total number of votes polled = ( 1136 + 8236 + 11628 ) = 21000 so , required percentage = 11628 / 21000 * 100 = 55.4 % b\"" - }, - { - "Answer": 32.24999999999998, - "Options": "a ) 32.25 % , b ) 31.00 % , c ) 30.25 % , d ) 30.00 % , e ) 22.50 %", - "Correct": "a", - "Explanation": "\"you can do this by approximation , or with straight math by calculating 100 * 1.15 ^ 2 . or step by step : if you increase 100 by 15 % you ' ll get 115 , then if you increase 115 = 100 + 15 by 15 % again , 100 will gain 15 again and 15 will gain its 15 % which is 2.25 , so total gain is 15 + 2.25 = 17.25 - - > 115 + 17.25 = 132.25 . answer : a .\"" - }, - { - "Answer": 16, - "Options": "a ) $ 0 , b ) $ 3 , c ) $ 4 , d ) $ 12 , e ) $ 16", - "Correct": "e", - "Explanation": "\"actual cost = $ 48 sp = actual cost + mark up = actual cost + 40 % sp = 48 * 100 / 60 on sale sp = 80 / 100 ( 48 * 100 / 60 ) = 64 gross profit = $ 16 answer is e\"" - }, - { - "Answer": 357000, - "Options": "a ) 358000 , b ) 368000 , c ) 357000 , d ) 358000 , e ) 367000", - "Correct": "c", - "Explanation": "\"total number of invalid votes = 15 % of 560000 = 15 / 100 \u00d7 560000 = 8400000 / 100 = 84000 total number of valid votes 560000 \u2013 84000 = 476000 percentage of votes polled in favour of candidate a = 75 % therefore , the number of valid votes polled in favour of candidate a = 75 % of 476000 = 75 / 100 \u00d7 476000 = 35700000 / 100 = 357000 answer : c\"" - }, - { - "Answer": 12500, - "Options": "a ) 12500 , b ) 25000 , c ) 15000 , d ) 18000 , e ) 17000", - "Correct": "a", - "Explanation": "\"let the cp be $ x . had he offered 10 % discount , profit = 8 % profit = 8 / 100 x and hence his sp = x + 8 / 100 x = $ 1.08 x = 15000 - 10 / 100 ( 15000 ) = 15000 - 1500 = $ 13500 = > 1.08 x = 13500 = > x = 12500 a\"" - }, - { - "Answer": 400, - "Options": "a ) 200 , b ) 300 , c ) 400 , d ) 500 , e ) 600", - "Correct": "c", - "Explanation": "formula = total = 100 % , increase = ` ` + ' ' decrease = ` ` - ' ' a number means = 100 % that same number increased by 20 % = 120 % 120 % - - - - - - - > 480 ( 120 \u00d7 4 = 480 ) 100 % - - - - - - - > 400 ( 100 \u00d7 4 = 400 ) option ' c '" - }, - { - "Answer": 18560, - "Options": "a ) 17608 , b ) 17606 , c ) 17604 , d ) 17600 , e ) 18560", - "Correct": "e", - "Explanation": "price at which the tv set is bought = rs . 12,500 discount offered = 20 % marked price = 12500 * 100 / 80 = rs . 15625 the total amount spent on transport and installation = 125 + 250 = rs . 375 \\ total price of tv set = 15625 + 375 = rs . 16000 the price at which the tv should be sold to get a profit of 16 % if no discount was offered = 16000 * 116 / 100 = rs . 18560 . answer : e" - }, - { - "Answer": 699.9998833333527, - "Options": "a ) 400 , b ) 500 , c ) 700 , d ) 450 , e ) 650", - "Correct": "c", - "Explanation": "suppose originally he had x apples then ( 100 - 40 ) % of x = 420 60 x / 100 = 420 x = 700 answer is c" - }, - { - "Answer": 152, - "Options": "a ) 152 , b ) 120 , c ) 130 , d ) 160 , e ) 210", - "Correct": "a", - "Explanation": "\"a 152 125 % of 120 % of a = 228 125 / 100 * 120 / 100 * a = 228 a = 228 * 2 / 3 = 152 .\"" - }, - { - "Answer": 1.5, - "Options": "a ) 1.5 % , b ) 1.9 % , c ) 10 % , d ) 15 % , e ) 19 %", - "Correct": "a", - "Explanation": "\"i think there is a typo in question . it should have been ` ` by weight liquid ' x ' makes up . . . . . ` ` weight of liquid x = 0.8 % of weight of a + 1.8 % of weight of b when 300 gms of a and 700 gms of b is mixed : weight of liquid x = ( 0.8 * 300 ) / 100 + ( 1.8 * 700 ) / 100 = 15 gms % of liquid x in resultant mixture = ( 15 / 1000 ) * 100 = 1.5 % answer : 1.5 % answer : a\"" - }, - { - "Answer": 1750, - "Options": "a ) 400 , b ) 625 , c ) 1,750 , d ) 2,500 , e ) 10,000", - "Correct": "c", - "Explanation": "\"this is a rather straight forward ratio problem . 1 . 70 fish tagged 2 . 2 out of the 50 fish caught were tagged thus 2 / 50 2 / 50 = 70 / x thus , x = 1750 think of the analogy : 2 fish is to 50 fish as 50 fish is to . . . ? you ' ve tagged 50 fish and you need to find what that comprises as a percentage of the total fish population - we have that information with the ratio of the second catch . c\"" - }, - { - "Answer": 21.457489878542503, - "Options": "a ) 10 % , b ) 50 % , c ) 21.4 % , d ) 52 % , e ) none of these", - "Correct": "c", - "Explanation": "explanation : cost price = ( 232 + 15 ) = 247 sell price = 300 gain = ( 53 / 247 ) * 100 = 21.4 % . answer : c" - }, - { - "Answer": 1.7543859649122806, - "Options": "a ) 5.45 % , b ) 6.23 % , c ) 1.75 % , d ) 8.12 % , e ) 10 %", - "Correct": "c", - "Explanation": "\"c . p . = 4700 + 1000 = $ 5700 s . p . = $ 5800 gain = 5800 - 5700 = $ 100 gain % = 100 / 5700 * 100 = 1.75 % answer is c\"" - }, - { - "Answer": 6000, - "Options": "a ) 4500 , b ) 5200 , c ) 6900 , d ) 7520 , e ) 6000", - "Correct": "e", - "Explanation": "\"let the total number of votes polled be x then , votes polled by other candidate = ( 100 - 60 ) % of x = 40 % of x 60 % of x - 40 % of x = 1200 20 x / 100 = 1200 x = 1200 * 100 / 20 = 6000 answer is e\"" - }, - { - "Answer": 36.000000000000036, - "Options": "a ) 24 , b ) 34.8 , c ) 36 , d ) 42 , e ) 84", - "Correct": "c", - "Explanation": "\"the difference between the amounts john paid and jane paid is the deference between 15 % of p and 15 % of 0.9 p : 0.15 p - 0.15 * 0.9 p = 0.54 - - > 15 p - 13.5 p = 54 - - > p = 36 . answer : c .\"" - }, - { - "Answer": 97.99999999999999, - "Options": "a ) 80 , b ) 98 , c ) 105 , d ) 120 , e ) 210", - "Correct": "b", - "Explanation": "\"set up equation : x = total number of workers 112 = 0,4 * 2 / 3 * x + 0,8 * 1 / 3 * x 112 = 16 / 30 x x = 210 210 - 112 = 98 answer b\"" - }, - { - "Answer": 100, - "Options": "a ) 1 , b ) 10 , c ) 100 , d ) 50 , e ) 20", - "Correct": "c", - "Explanation": "\"10 % of 2000 gives 200 . so 200 attends chess and 50 % of 200 gives 100 so 100 enrolled for swimming answer : c\"" - }, - { - "Answer": 50, - "Options": "a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 65", - "Correct": "c", - "Explanation": "\"a hostel had provisions for 250 men for 40 days if 50 men leaves the hostel , remaining men = 250 - 50 = 200 we need to find out how long the food will last for these 200 men . let the required number of days = x days more men , less days ( indirect proportion ) ( men ) 250 : 200 : : x : 40 250 \u00d7 40 = 200 x 5 \u00d7 40 = 4 x x = 5 \u00d7 10 = 50 answer c\"" - }, - { - "Answer": 7500, - "Options": "a ) rs . 7500 , b ) rs . 9000 , c ) rs . 9500 , d ) rs . 10,000 , e ) none", - "Correct": "a", - "Explanation": "solution a : b : c = ( 20000 \u00d7 24 ) : ( 15000 \u00d7 24 ) : ( 20000 \u00d7 18 ) = 4 : 3 : 3 b ' s share = rs . ( 25000 \u00d7 3 / 10 ) = rs . 7500 . answer a" - }, - { - "Answer": 10.400000000000546, - "Options": "a ) 12.8 , b ) 20 , c ) 10.4 , d ) 11.6 , e ) 15", - "Correct": "c", - "Explanation": "\"6500 = d ( 100 / 4 ) 2 d = 10.4 answer : c\"" - }, - { - "Answer": 7428.571428571429, - "Options": "a ) $ 7456.00 , b ) $ 7500.55 , c ) $ 7428.57 , d ) $ 7852.56 , e ) $ 7864.00", - "Correct": "c", - "Explanation": "\"let the total amount be x then , ( 100 - 20 ) % of x = 5000 + 200 70 % of x = 5200 70 x / 100 = 5200 x = $ 52000 / 7 x = $ 7428.57 answer is c\"" - }, - { - "Answer": 5291.999999999998, - "Options": "a ) rs . 4935 , b ) rs . 4925 , c ) rs . 5390 , d ) rs . 5290 , e ) rs . 5292", - "Correct": "e", - "Explanation": "\"let the sum be rs . p p { [ 1 + 5 / 100 ] 2 - 1 } = 492 p ( 5 / 100 ) ( 2 + 5 / 100 ) = 492 [ a 2 - b 2 = ( a - b ) ( a + b ) ] p = 492 / ( 0.05 ) ( 2.05 ) = 4800 . amount = 4800 + 492 = rs . 5292 answer : e\"" - }, - { - "Answer": 4.8, - "Options": "a ) 1.2 , b ) 4.8 , c ) 4.4 , d ) 3.21 , e ) none", - "Correct": "b", - "Explanation": "\"sol . s . i . = rs . [ 8 * 5 / 100 * 12 ] = rs . 4.8 answer b\"" - }, - { - "Answer": 10, - "Options": "a ) 2.8 liters . , b ) 2.5 liters . , c ) 8.5 liters . , d ) 2.6 liters . , e ) 10 liters .", - "Correct": "e", - "Explanation": "\"answer : explanation : in each of the solutions , there is a pure tomato component and some water . so while boiling , water evaporates but tomato not . so we equate tomato part in the both equations . \u00e2 \u2021 \u2019 \u00e2 \u2021 \u2019 10 % ( 80 ) = 80 % ( x ) \u00e2 \u2021 \u2019 \u00e2 \u2021 \u2019 x = 10 liters . answer : e\"" - }, - { - "Answer": 65, - "Options": "a ) 60 , b ) 65 , c ) 55 , d ) 50 , e ) 55", - "Correct": "b", - "Explanation": "round trip means 2 trips i . e . to and fro . he has completed one i . e 50 % completed . then he traveled another 30 % of 50 % i . e 15 % . so he completed 50 + 15 = 65 % of total trip . b" - }, - { - "Answer": 108, - "Options": "a ) 80 , b ) 90 , c ) 95 , d ) 100 , e ) 108", - "Correct": "e", - "Explanation": "\"assume a value at the beginning of 2007 . as this is a % question , assume p = 100 . at the end of 2007 it becmae = 1.2 * 100 = 120 at the end of 2008 it decreased by 25 % = 120 * . 75 = 90 at the end of 2009 it increased by 20 % = 90 * 1.2 = 108 thus ratio = 108 / 100 = 1.08 ( in % terms = 108 % ) . thus e is the correct answer .\"" - }, - { - "Answer": 40, - "Options": "a ) rs 48 , b ) rs 45 , c ) rs 40 , d ) rs 50 , e ) rs 55", - "Correct": "c", - "Explanation": "\"explanation : for an income of rs . 20 , investment = rs . 100 . for an income of rs 8 , investment = rs . 100 / 20 x 8 = rs 40 market value of rs . 100 stock = rs 40 answer is c\"" - }, - { - "Answer": 370, - "Options": "a ) 280 , b ) 370 , c ) 460 , d ) 550 , e ) 640", - "Correct": "b", - "Explanation": "\"let x be the minimum number of questionnaires to be mailed . 0.6 x = 222 x = 370 the answer is b .\"" - }, - { - "Answer": 20, - "Options": "a ) 20 % , b ) 21 % , c ) 22 % , d ) 23 % , e ) 24 %", - "Correct": "a", - "Explanation": "\"let the cp of each pen be rs . 1 . cp of 95 pens = rs . 95 profit = cost of 19 pens = rs . 19 profit % = 19 / 95 * 100 = 20 % answer : a\"" - }, - { - "Answer": 719.9999999999999, - "Options": "a ) 720 , b ) 266 , c ) 155 , d ) 600 , e ) 441", - "Correct": "a", - "Explanation": "\"ratio of investments of a , b and c is 8000 : 10000 : 12000 = 4 : 5 : 6 and also given that , profit share of b is rs . 1800 = > 5 parts out of 15 parts is rs . 1800 now , required difference is 6 - 4 = 2 parts required difference = 2 / 5 ( 1800 ) = rs . 720 answer : a\"" - }, - { - "Answer": 11.999999999999998, - "Options": "a ) 8 , b ) 9 , c ) 12 , d ) 89 , e ) 81", - "Correct": "c", - "Explanation": "\"90 % - - - 16 120 % - - - ? 90 / 120 * 16 = 12 answer : c\"" - }, - { - "Answer": 408.69565217391306, - "Options": "a ) 391 , b ) 408 , c ) 410 , d ) 423 , e ) 445", - "Correct": "b", - "Explanation": "\"d = number of employees in december j = number of employees in january j x 1.15 = d j x 1.15 = 470 j = 470 / 1.15 j = 47,000 / 115 = 408 thus b is the correct answer .\"" - }, - { - "Answer": 3000, - "Options": "a ) 550 , b ) 3000 , c ) 250 , d ) 300 , e ) 400", - "Correct": "b", - "Explanation": "\"by investing $ 136 , income obtained = $ 60 . by investing $ 6800 , income obtained = $ [ ( 60 / 136 ) * 6800 ] = $ 3000 . answer b .\"" - }, - { - "Answer": 18, - "Options": "a ) 22 , b ) 77 , c ) 18 , d ) 77 , e ) 65", - "Correct": "c", - "Explanation": "\"total cp = rs . 42000 + rs . 13000 = rs . 55000 and sp = rs . 64900 profit ( % ) = ( 64900 - 55000 ) / 55000 * 100 = 18 % answer : c\"" - }, - { - "Answer": 1020, - "Options": "a ) 960 , b ) 840 , c ) 1020 , d ) 760 , e ) 920", - "Correct": "c", - "Explanation": "\"t . d . = ( b . g . x 100 / r x t ) = rs . ( 270 x 100 / 12 x 3 ) = rs . 750 . therefore , b . d . = rs . ( 750 + 270 ) = rs . 1020 . answer is c\"" - }, - { - "Answer": 77.4, - "Options": "a ) 80.0 , b ) 80.9 , c ) 77.4 , d ) 81.1 , e ) 81.9", - "Correct": "c", - "Explanation": "\"consider price of the all items as $ 100 after a initial reduction of 10 % price becomes = 0.9 * 100 = $ 90 after the final reduction of 14 % price becomes = 0.86 * 90 = $ 77.4 price of all items on second day is 77.4 % of price on first day correct answer option c\"" - }, - { - "Answer": 46.75, - "Options": "a ) 46.75 , b ) 40 , c ) 33.66 , d ) 66.66 , e ) 66.86", - "Correct": "a", - "Explanation": "55 % are males percentage of male red ants is 55 * . 85 = 46.75 answer : a" - }, - { - "Answer": 18.75, - "Options": "a ) 18.75 , b ) 19.75 , c ) 20.75 , d ) 21.75 , e ) 22.75", - "Correct": "a", - "Explanation": "\"60 * 84 / 100 = 50.40 lit milk that is 9.60 lit water let x lit water will be added then ( 60 + x ) * 64 / 100 = 50.40 so x = 18.75 answer : a\"" - }, - { - "Answer": 89.8, - "Options": "a ) 92.5 % , b ) 89.8 % , c ) 85.2 % , d ) 96.8 % , e ) 78.9 %", - "Correct": "b", - "Explanation": "total number of fruits shopkeeper bought = 600 + 400 = 1000 number of rotten oranges = 15 % of 600 = 15 / 100 \u00d7 600 = 9000 / 100 = 90 number of rotten bananas = 3 % of 400 = 12 therefore , total number of rotten fruits = 90 + 12 = 102 therefore number of fruits in good condition = 1000 - 102 = 898 therefore percentage of fruits in good condition = ( 898 / 1000 \u00d7 100 ) % = ( 89800 / 1000 ) % = 89.8 % answer : b" - }, - { - "Answer": 1125, - "Options": "a ) a ) 1040 , b ) b ) 1050 , c ) c ) 1055 , d ) d ) 1065 , e ) e ) 1125", - "Correct": "e", - "Explanation": "\"cost of 9 kg grapes = 70 \u00d7 9 = 630 . cost of 9 kg of mangoes = 55 \u00d7 9 = 495 total cost he has to pay = 630 + 495 = 1125 e\"" - }, - { - "Answer": 66.66666666666666, - "Options": "a ) 32.5 , b ) 35 , c ) 48 , d ) 65 , e ) 66.67", - "Correct": "e", - "Explanation": "\"1 ) let the price of jacket initially be $ 100 . 2 ) then it is decreased by 25 % , therefore bringing down the price to $ 75 . 3 ) again it is further discounted by 20 % , therefore bringing down the price to $ 60 . 4 ) now 60 has to be added byx % in order to equal the original price . 60 + ( x % ) 60 = 100 . solving this eq for x , we get x = 66.67 ans is e .\"" - }, - { - "Answer": 26.570048309178745, - "Options": "a ) 18 % , b ) 26.57 % , c ) 20 % , d ) 19 % , e ) none of these", - "Correct": "b", - "Explanation": "\"cp = rs . 540 , mp = 540 + 15 % of 540 = rs . 621 sp = rs . 456 , discount = 621 - 456 = 165 discount % = 165 / 621 * 100 = 26.57 % answer : b\"" - }, - { - "Answer": 15, - "Options": "a ) 13 % , b ) 14 % , c ) 15 % , d ) 16 % , e ) 17 %", - "Correct": "c", - "Explanation": "total students = 30 + 50 = 80 20 % of 30 = 6 12 & of 50 = 6 total students who forget homework = 6 + 6 = 12 percentage = 1280 \u2217 100 = 15 = 12 / 80 \u2217 100 = 15 ; answer = c = 15 %" - }, - { - "Answer": 192, - "Options": "a ) 129 , b ) 287 , c ) 192 , d ) 188 , e ) 112", - "Correct": "c", - "Explanation": "\"explanation : cp per kg of mixture = [ 34 ( 150 ) + 36 ( 125 ) ] / ( 34 + 36 ) = rs . 137.14 sp = cp [ ( 100 + profit % ) / 100 ] = 137.14 * [ ( 100 + 40 ) / 100 ] = rs . 192 . answer : c\"" - }, - { - "Answer": 10, - "Options": "a ) 16 % , b ) 12 % , c ) 74 % , d ) 10 % , e ) 45 %", - "Correct": "d", - "Explanation": "\"let the rate be r % p . a . then , ( 5000 * r * 2 ) / 100 + ( 3000 * r * 4 ) / 100 = 2200 100 r + 120 r = 2200 r = 10 % answer : d\"" - }, - { - "Answer": 53.84615384615385, - "Options": "a ) 50 % , b ) 32 % , c ) 25 % , d ) 54 % , e ) 29 %", - "Correct": "d", - "Explanation": "\"let the original salary be $ 100 new salary = $ 65 increase on 65 = 35 increase on 100 = 35 / 65 * 100 = 54 % ( approximately ) answer is d\"" - }, - { - "Answer": 0.04, - "Options": "a ) 0.004 % , b ) 0.04 % , c ) 0.40 % , d ) 4 % , e ) 40 %", - "Correct": "b", - "Explanation": "\"total amount of water evaporated each day during a 50 - day period = . 00008 * 50 = . 00008 * 100 / 2 = . 008 / 2 = . 004 percent of the original amount of water evaporated during this period = ( . 004 / 10 ) * 100 % = 0.04 % answer b\"" - }, - { - "Answer": 2256.25, - "Options": "a ) $ 2100 , b ) $ 2546 , c ) $ 2256 , d ) $ 2451 , e ) $ 2345", - "Correct": "c", - "Explanation": "\"p = $ 2500 r = 5 % t = 2 years machine value after 2 years = p [ ( 1 - r / 100 ) ^ t ] = 2500 * 19 / 20 * 19 / 20 = $ 2256 approximately answer is c\"" - }, - { - "Answer": 8.571428571428571, - "Options": "a ) 4.5 % , b ) 8.6 % , c ) 12.3 % , d ) 16.7 % , e ) 20 %", - "Correct": "b", - "Explanation": "let i be the number of incandescent bulbs . let f be the number of fluorescent bulbs . 0.3 i + 0.8 f = 0.7 ( i + f ) 0.1 f = 0.4 i f = 4 i this means that for every 1 incandescent bulb , there are 4 fluorescent bulbs . the percent of bulbs that are switched on which are incandescent is : 0.3 i / ( 0.3 i + 0.8 f ) = 0.3 i / ( 0.3 i + 0.8 * 4 i ) = 0.3 i / 3.5 i = 3 / 35 which is about 8.6 % . the answer is b ." - }, - { - "Answer": 1, - "Options": "a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 1 , e ) 3", - "Correct": "d", - "Explanation": "\"concentration of salt in pure solution = 0 concentration of salt in salt solution = 40 % concentration of salt in the mixed solution = 20 % the pure solution and the salt solution is mixed in the ratio of - - > ( 40 - 20 ) / ( 20 - 0 ) = 1 / 1 1 / x = 1 / 1 x = 1 answer : d\"" - }, - { - "Answer": 56, - "Options": "a ) 32 , b ) 33 , c ) 39 , d ) 40 , e ) 56", - "Correct": "e", - "Explanation": "\"cost + profit = sales cost + ( 160 / 100 ) cost = 91 cost = 35 profit = 91 - 35 = 56 answer ( e )\"" - }, - { - "Answer": 6, - "Options": "a ) 6.25 , b ) 6.22 , c ) 6.29 , d ) 6.39 , e ) 6.0", - "Correct": "e", - "Explanation": "\"required run rate = [ 272 - ( 3.2 * 10 ) ] / 40 = 240 / 40 = 6.00 answer : e\"" - }, - { - "Answer": 1100, - "Options": "a ) 1100 , b ) 450 , c ) 550 , d ) 590 , e ) 600", - "Correct": "a", - "Explanation": "cost price = 800 / 80 x 100 = 1000 to gain 10 % = 1000 x 10 / 100 = 100 sp = cp + gain = 1000 + 100 = 1100 answer : a" - }, - { - "Answer": 165, - "Options": "a ) 140 % , b ) 152 % , c ) 165 % , d ) 176 % , e ) 190 %", - "Correct": "c", - "Explanation": "let last year ' s salary be x . last year , sandy save 0.06 x this year , sandy saved 0.09 * 1.1 x = 0.099 x 0.099 x / 0.06 x = 99 / 60 = 1.65 = 165 % the answer is c ." - }, - { - "Answer": 126, - "Options": "a ) 173 , b ) 126 , c ) 153 , d ) 143 , e ) 133", - "Correct": "b", - "Explanation": "\"44 + 28 + 10 = 82 % 100 \u2013 82 = 18 % 700 * 18 / 100 = 126 answer : b\"" - }, - { - "Answer": 900, - "Options": "a ) 600 , b ) 900 , c ) 1200 , d ) 1350 , e ) 1500", - "Correct": "b", - "Explanation": "let x be the number of students in the lower three grades . 0.1 x + 150 = 0.2 ( x + 300 ) 0.1 x = 900 x = 900 the answer is b ." - }, - { - "Answer": 10, - "Options": "a ) 10 , b ) 27 , c ) 87 , d ) 23 , e ) 93", - "Correct": "a", - "Explanation": "\"explanation : let the original quantity be x kg . vanaspati ghee in x kg = ( 40 x / 100 ) kg = ( 2 x / 5 ) kg . now , ( 2 x / 5 ) / ( x + 10 ) = 20 / 100 < = > 2 x / ( 5 x + 50 ) = 1 / 5 < = > 5 x = 50 < = > x = 10 . answer : a ) 10 kg\"" - }, - { - "Answer": 21.999999999999996, - "Options": "a ) 24 % , b ) 34 % , c ) 22 % , d ) 18 % , e ) 8.5 %", - "Correct": "c", - "Explanation": "\"consider total solution to be 100 liters and in this case you ' ll have : 75 * 0.14 + 25 * x = 100 * 0.16 - - > x = 0.22 . answer : c .\"" - }, - { - "Answer": 26, - "Options": "a ) 60 % , b ) 26 % , c ) 30 % , d ) 56 % , e ) 73 %", - "Correct": "b", - "Explanation": "\"let c . p . be rs . 100 . then , s . p . = rs . 19.70 let marked price be rs . x . then , 95 / 100 x = 119.70 x = 11970 / 95 = rs . 126 now , s . p . = rs . 126 , c . p . = rs . 100 profit % = 26 % . answer : b\"" - }, - { - "Answer": 239.99999999999997, - "Options": "a ) 100 marks , b ) 240 marks , c ) 280 marks , d ) 371 marks , e ) 827 marks", - "Correct": "b", - "Explanation": "\"30 % - - - - - - - - - - - - 60 45 % - - - - - - - - - - - - 30 - - - - - - - - - - - - - - - - - - - - - - 15 % - - - - - - - - - - - - - 90 30 % - - - - - - - - - - - - - - 180 180 + 60 = 240 marks answer : b\"" - }, - { - "Answer": 12, - "Options": "a ) 21 % , b ) 25 % , c ) 69 % , d ) 31 % , e ) 12 %", - "Correct": "e", - "Explanation": "\"let the price be 100 . the price becomes 140 after a 40 % markup . now a discount of 20 % on 140 . profit = 112 - 100 12 % answer e\"" - }, - { - "Answer": 1044, - "Options": "a ) 776 , b ) 1044 , c ) 299 , d ) 257 , e ) 125", - "Correct": "b", - "Explanation": "\"w = 58 % l = 42 % 58 % - 42 % = 16 % 16 % - - - - - - - - 288 58 % - - - - - - - - ? = > 1044 answer : b\"" - }, - { - "Answer": 250.00000000000003, - "Options": "a ) 70 , b ) 245 , c ) 150 , d ) 35 , e ) 250", - "Correct": "e", - "Explanation": "\"since 30 % of the boys from school a study science , then 70 % of the boys from school a do not study science and since 20 % of the total number of boys are from school a , then 0.2 * 0.7 = 0.14 , or 14 % of the boys in the camp are from school a and do not study science . we are told that this number equals to 35 , so 0.14 * { total } = 35 - - > { total } = 250 . answer : e .\"" - }, - { - "Answer": 69.44444444444444, - "Options": "a ) 69.44 , b ) 62.0 , c ) 62.6 , d ) 62.1 , e ) 62.2", - "Correct": "a", - "Explanation": "\"cp = 50 sp = 50 * ( 125 / 100 ) = 62.50 mp * ( 90 / 100 ) = 62.50 mp = 69.44 answer : a\"" - }, - { - "Answer": 4.000000000000007, - "Options": "a ) 10 % , b ) 5 % , c ) 12 % , d ) 6 % , e ) 4 %", - "Correct": "e", - "Explanation": "in such a case there is always a loss loss % = ( 20 / 10 ) ^ 2 = 4 % answer is e" - }, - { - "Answer": 35, - "Options": "a ) 15 % , b ) 35 % , c ) 25 % , d ) 50 % , e ) 30 %", - "Correct": "b", - "Explanation": "\"let the original s . p be rs . x . then new s . p = rs . 2 / 3 x , loss = 10 % so c . p = rs . [ 100 / 90 * 2 / 3 x ] = 20 x / 27 . now c . p = rs . 20 x / 27 , s . p = rs . x , gain = rs . [ x - 20 x / 27 ] = rs . 7 x / 27 . gain % = [ 7 x / 27 * 27 / 20 x * 100 ] % = 35 % answer : b\"" - }, - { - "Answer": 70, - "Options": "a ) s . 59 , b ) s . 58 , c ) s . 09 , d ) s . 70 , e ) s . 13", - "Correct": "d", - "Explanation": "\"sp per metre = 36000 / 600 = rs . 60 loss per metre = rs . 10 cp per metre = 60 + 10 = rs . 70 answer : d\"" - }, - { - "Answer": 9.23076923076923, - "Options": "a ) 15 % , b ) 14.25 % , c ) 9.23 % , d ) 10.5 % , e ) 11.5 %", - "Correct": "c", - "Explanation": "\"explanation : the difference between compound interest and simple interest on rs . p for 2 years at r % per annum = ( r \u00e3 \u2014 si ) / ( 2 \u00e3 \u2014 100 ) difference between the compound interest and simple interest = 340 - 325 = 15 ( r \u00e3 \u2014 si ) / ( 2 \u00e3 \u2014 100 ) = 15 ( r \u00e3 \u2014 325 ) / ( 2 \u00e3 \u2014 100 ) = 15 r = 9.23 % answer : option c\"" - }, - { - "Answer": 10, - "Options": "a ) s . 7 , b ) s . 9 , c ) s . 10 , d ) s . 11 , e ) s . 19", - "Correct": "c", - "Explanation": "100 * ( 20 / 100 ) = 20 - - - 10 ? - - - 1 = > rs . 2 400 - - - 80 ? - - - 2 = > rs . 10 answer : c" - }, - { - "Answer": 58.075, - "Options": "a ) $ 58 , b ) $ 60.60 , c ) $ 70.60 , d ) $ 40.60 , e ) $ 50.60", - "Correct": "a", - "Explanation": "\"the tip is 20 % of what he paid for lunch . hence tip = 15 % of 50.50 = ( 15 / 100 ) * 50.50 = $ 7.575 total spent 50.50 + 7.575 = $ 58 correct answer a\"" - }, - { - "Answer": 10.714285714285714, - "Options": "a ) 10.7 % , b ) 11.7 % , c ) 12.7 % , d ) 13.7 % , e ) 14.7 %", - "Correct": "a", - "Explanation": "\"12 * 10 + 12 = 132 ( 12 / 112 ) * 100 = 10.7 answer : a\"" - }, - { - "Answer": 96, - "Options": "a ) 36 , b ) 52 , c ) 66 , d ) 96 , e ) none", - "Correct": "d", - "Explanation": "\"sol . t . d . = \u221a p . w . * b . g . = \u221a 576 * 16 = 96 . answer d\"" - }, - { - "Answer": 12.36, - "Options": "a ) 12.36 , b ) 8.36 , c ) 9.36 , d ) 10.36 , e ) 11.36", - "Correct": "a", - "Explanation": "\"explanation : 100 cm is read as 106 cm . a 1 = ( 100 \u00d7 100 ) cm 2 = 10000 and a 2 = ( 106 \u00d7 106 ) cm 2 = 11236 ( a 2 - a 1 ) = 11236 - 10000 = 1236 = > 1236 / 10000 * 100 = 12.36 answer : a\"" - }, - { - "Answer": 8.333333333333334, - "Options": "a ) 6.25 , b ) 5.5 , c ) 7.4 , d ) 8.3 , e ) 6.2", - "Correct": "d", - "Explanation": "\"explanation : runs scored in the first 10 overs = 10 \u00d7 3.2 = 32 total runs = 282 remaining runs to be scored = 282 - 32 = 250 remaining overs = 30 run rate needed = 250 / 30 = 8.3 answer : option d\"" - }, - { - "Answer": 900, - "Options": "a ) 750 , b ) 700 , c ) 900 , d ) 850 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : note : majority ( 40 % ) = difference in votes polled to win ( 70 % ) & defeated candidates ( 30 % ) 40 % = 70 % - 30 % 40 % - - - - - > 360 ( 40 * 9 = 360 ) 100 % - - - - - > 900 ( 100 * 9 = 900 ) answer : option c\"" - }, - { - "Answer": 16, - "Options": "a ) 8 , b ) 9 , c ) 16 , d ) 6 , e ) 4", - "Correct": "c", - "Explanation": "\"80 % - - - 24 120 % - - - ? 80 / 120 * 24 = 16 answer : c\"" - }, - { - "Answer": 18975, - "Options": "a ) 34778 , b ) 26888 , c ) 2899 , d ) 18975 , e ) 12778", - "Correct": "d", - "Explanation": "\"price at which the tv set is bought = rs . 13,500 discount offered = 20 % marked price = 13500 * 100 / 80 = rs . 16875 the total amount spent on transport and installation = 125 + 250 = rs . 375 \\ total price of tv set = 15625 + 375 = rs . 16000 the price at which the tv should be sold to get a profit of 10 % if no discount was offered = 17250 * 110 / 100 = rs . 18975 answer : d\"" - }, - { - "Answer": 62.000000000000014, - "Options": "a ) 15 % , b ) 32 % , c ) 40 % , d ) 62 % , e ) 80 %", - "Correct": "d", - "Explanation": "assume 100 in march , then 135 in april as 35 % increase , then 108 in may as 20 % decrease from april , and then 162 in june which is 150 % of 108 . so overall increase is from 100 to 162 is 62 % answer d" - }, - { - "Answer": 6, - "Options": "a ) 5 liters , b ) 10 liters , c ) 15 liters , d ) 8 liters , e ) 6 liters", - "Correct": "e", - "Explanation": "\"required answer is = 18 ( 60 - 40 ) / 60 = 6 liters answer is e\"" - }, - { - "Answer": 14.000000000000002, - "Options": "a ) 14 , b ) 15 , c ) 16 , d ) 17 , e ) 18", - "Correct": "a", - "Explanation": "lets say total volume of the container = v initial water content is half of total volume = v / 2 then 4 cups of water were added . current water content = ( v / 2 ) + 4 cups = ( 70 / 100 ) v = > v = 20 cups = > current water content is equivalent to = v / 2 + 4 cups = 20 / 2 + 4 = 14 cups ; answer : a" - }, - { - "Answer": 40, - "Options": "a ) 9 % , b ) 10 % , c ) 11 % , d ) 12 % , e ) 40 %", - "Correct": "e", - "Explanation": "\"x discount on pony jeans , ( 0.22 - x ) discount on fox jeans . set the equation : 3 * 10 ( 0.22 - x ) + 2 * 18 x = 9 - - > x = 0.4 = 40 % answer : e .\"" - }, - { - "Answer": 200, - "Options": "a ) 150 , b ) 135 , c ) 160 , d ) 200 , e ) 155", - "Correct": "d", - "Explanation": "d 200 to pass the exam ravish needs 40 + 40 = 80 marks . = > ( 80 / 40 ) * 100 = 200" - }, - { - "Answer": 21.633307652783934, - "Options": "a ) 22.8 m . , b ) 21.6 m . , c ) 21.1 m . , d ) 20.6 m . , e ) 22.5 m .", - "Correct": "b", - "Explanation": "\"let the length and the breadth of the floor be l m and b m respectively . l = b + 200 % of b = l + 2 b = 3 b area of the floor = 624 / 4 = 156 sq m l b = 156 i . e . , l * l / 3 = 156 l 2 = 468 = > l = 21.6 m . answer : b\"" - }, - { - "Answer": 32.00000000000001, - "Options": "a ) 5 % , b ) 18 % , c ) 32 % , d ) 35 % , e ) 38 %", - "Correct": "c", - "Explanation": "profit in 1995 - 100 profit in 1996 - 110 % increae profit in 1997 in comparison to 1995 = 10 + 110 * 20 % = 32 correct option : c" - }, - { - "Answer": 31.25, - "Options": "a ) 31 , b ) 32 , c ) 46 , d ) 47 , e ) 48", - "Correct": "a", - "Explanation": "\"- a + b + ( ( - a ) ( b ) / 100 ) = - 25 + 75 + ( - 25 * 75 ) / 100 = - 25 + 75 - 19 = 31 answer : a\"" - }, - { - "Answer": 50, - "Options": "a ) 60 % , b ) 50 % , c ) 70 % , d ) 90 % , e ) 55 %", - "Correct": "b", - "Explanation": "\"explanation : 8 cp = 16 sp 16 - - - 8 cp loss 100 - - - ? = > 50 % loss answer : b\"" - }, - { - "Answer": 4590, - "Options": "a ) rs . 6000 , b ) rs . 4590 , c ) rs . 4560 , d ) rs . 4500 , e ) rs . 4570", - "Correct": "b", - "Explanation": "\"explanation : market value = rs . 102 . required income = rs . 900 . here face value is not given . take face value as rs . 100 if it is not given in the question to obtain rs . 20 ( ie , 20 % of the face value 100 ) , investment = rs . 102 to obtain rs . 900 , investment = 102 / 20 \u00e3 \u2014 900 = rs . 4590 answer : option b\"" - }, - { - "Answer": 4, - "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 5 , e ) 4", - "Correct": "e", - "Explanation": "\"assume initial amount is x annual interest is 34.1 % so after 1 year the amount will become x * ( 100 + 33.34 ) / 100 = > x * 4 / 3 now we need to find n for x * ( 4 / 3 ) ^ n = 3 x or in other words n = 4 e\"" - }, - { - "Answer": 15000, - "Options": "a ) rs 14000 , b ) rs 15000 , c ) rs 16000 , d ) rs 17000 , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : s . i . = p \u2217 r \u2217 t / 100 = > p = s . i . \u2217 100 / r \u2217 t = > p = 5400 \u2217 100 / 12 \u2217 3 = rs 15000 option b\"" - }, - { - "Answer": 7599.999999999999, - "Options": "a ) 7500 , b ) 3388 , c ) 2665 , d ) 2888 , e ) 7600", - "Correct": "e", - "Explanation": "\"35 % - - - - - - - - - - - l 65 % - - - - - - - - - - - w - - - - - - - - - - - - - - - - - - 30 % - - - - - - - - - - 2280 100 % - - - - - - - - - ? = > 7600 answer : e\"" - }, - { - "Answer": 66.66666666666666, - "Options": "a ) 40.00 kg , b ) 45.50 kg , c ) 66.67 kg , d ) 80.56 kg , e ) 90.00 kg", - "Correct": "c", - "Explanation": "\"from the question we know : 200 kg * 75 % = 150 kg of water in the fresh grapes 200 kg - 150 kg of water = 50 kg of non - water mass we are looking for the weight of the dry grapes ( x ) . since the question tells us that 25 % of the weight of the dry graps is water and we know that 50 kg is non - water mass we can set up the following equation : x = 1 / 4 ( x ) + 50 kg 3 / 4 ( x ) = 50 kg x = 66.67 kg answer - c\"" - }, - { - "Answer": 20.000000000000007, - "Options": "a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 30 %", - "Correct": "c", - "Explanation": "\"let x be the cost price of one article . let y be the selling price of one article . 60 y = 72 x y = 1.2 x the answer is c .\"" - }, - { - "Answer": 340.00000000000006, - "Options": "a ) 300 , b ) 340 , c ) 380 , d ) 420 , e ) 460", - "Correct": "b", - "Explanation": "\"let x be the total number of votes cast . 0.6 x = 0.4 x + 68 0.2 x = 68 x = 340 the answer is b .\"" - }, - { - "Answer": 100, - "Options": "a ) 330 , b ) 200 , c ) 150 , d ) 100 , e ) 91", - "Correct": "d", - "Explanation": "original cost = $ 200 decrease in it = 50 % of $ 200 = 50 / 100 \u00e3 \u2014 200 = 10000 / 100 = $ 100 therefore , decrease cost = $ 200 - $ 100 = $ 100 answer : d" - }, - { - "Answer": 35, - "Options": "a ) 20 % , b ) 28 % , c ) 27 % , d ) 35 % , e ) 70 %", - "Correct": "d", - "Explanation": "\"sp 2 = 2 / 3 sp 1 cp = 100 sp 2 = 90 2 / 3 sp 1 = 90 sp 1 = 135 100 - - - 35 = > 35 % answer : d\"" - }, - { - "Answer": 50, - "Options": "a ) 24 , b ) 28 , c ) 30 , d ) 32 , e ) 50", - "Correct": "e", - "Explanation": "\"let c . p . be rs . 100 . then , s . p . = rs . 144 let marked price be rs . x . then , 96 / 100 x = 144 x = 14400 / 96 = rs . 150 now , s . p . = rs . 150 , c . p . = rs . 100 profit % = 50 % . answer : e\"" - }, - { - "Answer": 4, - "Options": "a ) 3 % , b ) 4 % , c ) 5 % , d ) 6 % , e ) 7 %", - "Correct": "b", - "Explanation": "difference in c . i . and s . i for 2 years = $ 612 - $ 600 = $ 12 s . i for one year = $ 300 s . i . on $ 300 for 1 year = $ 12 rate = ( 100 * 12 ) / ( 300 ) = 4 % the answer is b ." - }, - { - "Answer": 272, - "Options": "a ) a ) 125 , b ) b ) 627 , c ) c ) 153 , d ) d ) 721 , e ) e ) 272", - "Correct": "e", - "Explanation": "\"44 + 14 + 10 = 68 % 100 \u2013 68 = 32 % 850 * 32 / 100 = 272 answer : e\"" - }, - { - "Answer": 21.25984251968504, - "Options": "a ) 18.3 % , b ) 15.3 % , c ) 21.3 % , d ) 22.3 % , e ) 25.3 %", - "Correct": "c", - "Explanation": "\"12 * 10 + 27 = 147 ( 27 / 127 ) * 100 = 21.3 answer : c\"" - }, - { - "Answer": 4.444444444444445, - "Options": "a ) 4.44 , b ) 5.44 , c ) 6.44 , d ) 7.44 , e ) 8.44", - "Correct": "a", - "Explanation": "\"160 = ( 900 * 4 * r ) / 100 r = 4.44 % answer : a\"" - }, - { - "Answer": 18.666666666666668, - "Options": "a ) 6 % , b ) 12 % , c ) 14 % , d ) 18.66 % , e ) 20 %", - "Correct": "d", - "Explanation": "interest paid = 57 * 9 + 21 - 450 = 84 % off the balance = ( 84 / 450 ) * 100 = 18.66 % answer is d ." - }, - { - "Answer": 400, - "Options": "a ) a ) 540 , b ) b ) 400 , c ) c ) 700 , d ) d ) 650 , e ) e ) 840", - "Correct": "b", - "Explanation": "\"let the number of students appeared be x then , 65 % of x = 260 65 x / 100 = 260 x = 260 * 100 / 65 = 400 answer is b\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 20 % , b ) 25 % , c ) 30 % , d ) 33.33 % , e ) 40 %", - "Correct": "d", - "Explanation": "\"another method is to use the formula for 2 successive percentage changes : total = a + b + ab / 100 60 = 20 + b + 20 b / 100 b = 33.33 answer ( d )\"" - }, - { - "Answer": 15000.000000000002, - "Options": "a ) rs . 12250 , b ) rs . 13375 , c ) rs . 16750 , d ) rs . 15000 , e ) none of these", - "Correct": "d", - "Explanation": "explanation : let the investment of c be rs . x . the inverstment of b = rs . ( 2 x / 3 ) the inverstment of a = rs . ( 3 \u00d7 ( 2 / 3 ) x ) = rs . ( 2 x ) ratio of capitals of a , b and c = 2 x : 2 x / 3 : x = 6 : 2 : 3 c ' s share = rs . [ ( 3 / 11 ) \u00d7 55000 ] = rs . 15000 answer : option d" - }, - { - "Answer": 5000, - "Options": "a ) 7000 , b ) 7029 , c ) 2778 , d ) 2800 , e ) 5000", - "Correct": "e", - "Explanation": "\"let the sum be rs . x . ( x * 18 * 2 ) / 100 - ( x * 12 * 2 ) / 100 = 600 = > 36 x / 100 - 24 x / 100 = 600 = > 12 x / 100 = 600 = > x = 5000 . answer : e\"" - }, - { - "Answer": 588, - "Options": "a ) 588 , b ) 674 , c ) 672 , d ) 960 , e ) none", - "Correct": "a", - "Explanation": "\"solution : total employees , = 1400 female employees , 60 % of 1400 . = ( 60 * 1400 ) / 100 = 840 . then male employees , = 560 50 % of male are computer literate , = 280 male computer literate . 62 % of total employees are computer literate , = ( 62 * 1400 ) / 100 = 868 computer literate . thus , female computer literate = 868 - 280 = 588 . answer : option a\"" - }, - { - "Answer": 51, - "Options": "a ) 32 , b ) 33 , c ) 39 , d ) 40 , e ) 51", - "Correct": "e", - "Explanation": "\"cost + profit = sales cost + ( 170 / 100 ) cost = 81 cost = 30 profit = 81 - 30 = 51 answer ( e )\"" - }, - { - "Answer": 2, - "Options": "a ) 1 , b ) 2 , c ) 6 , d ) 7 , e ) 10", - "Correct": "b", - "Explanation": "\"b 30 * ( 30 / 100 ) = 9 - - - 54 ? - - - 12 = > rs . 2\"" - }, - { - "Answer": 5.263157894736842, - "Options": "a ) 5.26 , b ) 5.16 , c ) 5.61 , d ) 5.52 , e ) 5", - "Correct": "a", - "Explanation": "\"selling price = rs 100 : then cost price = rs 95 : profit = rs 5 . profit = { ( 5 / 95 ) * 100 } % = 5.26 % answer is a .\"" - }, - { - "Answer": 50, - "Options": "a ) 65 % , b ) 50 % , c ) 22 % , d ) 18 % , e ) 8.5 %", - "Correct": "b", - "Explanation": "\"say the second solution ( which was 1 / 4 th of total ) was x % sugar , then 3 / 4 * 0.1 + 1 / 4 * x = 1 * 0.20 - - > x = 0.5 . alternately you can consider total solution to be 100 liters and in this case you ' ll have : 75 * 0.1 + 25 * x = 100 * 0.20 - - > x = 0.5 . answer : b .\"" - }, - { - "Answer": 95.99999999999999, - "Options": "a ) 40 , b ) 60 , c ) 96 , d ) 120 , e ) 240", - "Correct": "c", - "Explanation": "\"cost price of 1 pound of bananas = 0.5 / 3 = 1 / 6 selling price of 1 pound of bananas = 1 / 4 profit per pound = ( 1 / 4 - 1 / 6 ) = ( 1 / 12 ) total profit is given as 8 ( 1 / 12 ) * x = 8 x = 96 answer : c\"" - }, - { - "Answer": 8000.000000000001, - "Options": "a ) rs . 6000 , b ) rs . 8000 , c ) rs . 7500 , d ) rs . 6500 , e ) rs . 8500", - "Correct": "b", - "Explanation": "let the salaries of a and b are x and y respectively x + y = 14000 savings of a = 20 x / 100 = savings of b = 15 y / 100 x = \u00be y 3 / 4 y + y = 14000 , 7 y / 4 = 14000 , y = 8000 answer : b" - }, - { - "Answer": 11.91304347826087, - "Options": "a ) 7.6 % , b ) 7.7 % , c ) 11.32 % , d ) 11.91 % , e ) 7.8 %", - "Correct": "d", - "Explanation": "\"explanation : let marked price be re . 1 each c . p . of 52 pens = rs . 46 s . p . of 52 pens = 99 % of rs . 52 = rs . 51.48 profit % = ( profit / c . p . ) x 100 profit % = ( 5.48 / 46 ) x 100 = 11.91 % answer : d\"" - }, - { - "Answer": 2431.0000000000005, - "Options": "a ) $ 1865 , b ) $ 2087 , c ) $ 2217 , d ) $ 2431 , e ) $ 2662", - "Correct": "d", - "Explanation": "the ratio of capital of a , b and c = 11000 : 15000 : 23000 = 11 : 15 : 23 a ' s share = ( 11 / 15 ) * 3315 = $ 2431 the answer is d ." - }, - { - "Answer": 56, - "Options": "a ) 42 , b ) 49 , c ) 56 , d ) 63 , e ) 70", - "Correct": "c", - "Explanation": "800 * ( 35 / 100 ) = 280 - - - - 5 ? - - - - 1 = > rs . 56 answer : c" - }, - { - "Answer": 2.5, - "Options": "a ) 1.5 , b ) 2.5 , c ) 3 , d ) 4.5 , e ) 5", - "Correct": "b", - "Explanation": "we have 15 cups of sauce with 4040 choc and 6060 rasb cups of choc = 0.4 \u2217 15 = 6 cups of rasb = 0.6 \u2217 15 = 9 now let say we removed x cup of original mix and replaced with x cups of choc . therefore final number of cups of choc = 6 \u2212 0.4 x + x now this number of cup should be 50 % of total = 15 / 2 = 7.5 therefore 6 \u2212 0.4 x + x = 7.5 on solving x = 2.5 answer : b" - }, - { - "Answer": 810.2752293577983, - "Options": "a ) 3776 , b ) 810.27 , c ) 815.21 , d ) 688.12 , e ) 267.1", - "Correct": "b", - "Explanation": "ratio of their shares = 2250 : 3200 = 45 : 64 deepak ' s share = 13800 * 64 / 109 = rs . 810.27 . answer : b" - }, - { - "Answer": 8.695652173913043, - "Options": "a ) 8.70 % , b ) 8.60 % , c ) 8.10 % , d ) 8.30 % , e ) 8.27 %", - "Correct": "a", - "Explanation": "\"sol . sp = rs 100 : then cp = rs 92 : profit = rs 8 . profit = { ( 8 / 92 ) * 100 } % = 8.70 % answer is a .\"" - }, - { - "Answer": 1020, - "Options": "a ) rs . 960 , b ) rs . 760 , c ) rs . 840 , d ) rs . 1020 , e ) rs . 1615", - "Correct": "d", - "Explanation": "t . d = ( b . gx 100 ) / ( r / t ) = ( 270 x 100 ) / ( 12 x 3 ) = rs . 750 b . d . = rs . ( 750 + 270 ) = rs . 1020 . answer : d" - }, - { - "Answer": 25, - "Options": "a ) 30 % , b ) 58 % , c ) 25 % , d ) 60 % , e ) 12 %", - "Correct": "c", - "Explanation": "\"option c explanation : sp = cp + g 150 sp = 150 cp + 30 sp 120 sp = 150 cp 120 - - - 30 cp 100 - - - ? = > 25 %\"" - }, - { - "Answer": 840.0000000000001, - "Options": "a ) rs . 500 , b ) rs . 840 , c ) rs . 650 , d ) rs . 720 , e ) none", - "Correct": "b", - "Explanation": "solution number of shares = ( 14400 / 120 ) = 120 . face value = rs . ( 100 x 120 ) = rs . 12000 . annual income = rs . ( 7 / 100 x 12000 ) = rs . 840 . answer b" - }, - { - "Answer": 13310.000000000004, - "Options": "a ) 12100 , b ) 15240 , c ) 12456 , d ) 11452 , e ) 13310", - "Correct": "e", - "Explanation": "\"the required population is = 11000 ( 1 + 10 / 100 ) ^ 2 = 11000 * 11 / 10 * 11 / 10 = 13310 answer is e\"" - }, - { - "Answer": 5565.217391304348, - "Options": "a ) rs . 5565 , b ) rs . 6298 , c ) rs . 6290 , d ) rs . 6725 , e ) rs . 6708", - "Correct": "a", - "Explanation": "\"cp = sp * ( 100 / ( 100 + profit % ) ) = 6400 ( 100 / 115 ) = rs . 5565 . answer : a\"" - }, - { - "Answer": 19000, - "Options": "a ) 19002 , b ) 19028 , c ) 27788 , d ) 19000 , e ) 27711", - "Correct": "d", - "Explanation": "\"money paid in cash = rs . 1000 balance payment = ( 20000 - 1000 ) = rs . 19000 answer : d\"" - }, - { - "Answer": 499.99999999999994, - "Options": "a ) 500 , b ) 450 , c ) 250 , d ) 350 , e ) 525", - "Correct": "a", - "Explanation": "\"number of students who speak french are 30 + 40 = 70 of total students , the percentage of students who do not speak french was 86 % - - > percentage of who do is 14 % 70 - - - - - - - 14 % x - - - - - - - 100 % x = 70 * 100 / 14 = 500 = number of all students answer is a\"" - }, - { - "Answer": 175, - "Options": "a ) 180 , b ) 175 , c ) 156 , d ) 150 , e ) 105", - "Correct": "b", - "Explanation": "\"we are first given that a team won 85 percent of its first 100 games . this means the team won 0.85 x 100 = 85 games out of its first 100 games . we are next given that the team won 50 percent of its remaining games . if we use variable t to represent the total number of games in the season , then we can say t \u2013 100 equals the number of remaining games in the season . thus we can say : 0.5 ( t \u2013 100 ) = number of wins for remaining games 0.5 t \u2013 50 = number of wins for remaining games lastly , we are given that team won 70 percent of all games played in the season . that is , they won 0.7 t games in the entire season . with this we can set up the equation : number of first 100 games won + number of games won for remaining games = total number of games won in the entire season 85 + 0.5 t \u2013 50 = 0.7 t 35 = 0.2 t 350 = 2 t 175 = t answer is b .\"" - }, - { - "Answer": 50, - "Options": "a ) 16.67 , b ) 30 , c ) 50 , d ) 60.33 , e ) 70", - "Correct": "c", - "Explanation": "\"for 60 % salt solution ( x ) and 20 % salt solution ( y ) to give 40 % = ( 60 + 20 ) / 2 salt solution , we should mix equal amounts of x and y . answer : c .\"" - }, - { - "Answer": 64.53804347826087, - "Options": "a ) 64.54 , b ) 62.6 , c ) 62.1 , d ) 62.7 , e ) 62.2", - "Correct": "a", - "Explanation": "\"cp = 47.50 sp = 47.50 * ( 125 / 100 ) = 59.375 mp * ( 92 / 100 ) = 59.375 mp = 64.54 answer : a\"" - }, - { - "Answer": 9, - "Options": "a ) 9 , b ) 17 , c ) 13 , d ) 10 , e ) 12", - "Correct": "a", - "Explanation": "\"7 * 5 : 5 * x = 7 : 9 x = 9 answer : a\"" - }, - { - "Answer": 30, - "Options": "a ) 25.6 , b ) 50.2 , c ) 30.3 , d ) 45 , e ) 56", - "Correct": "c", - "Explanation": "let each installment be x [ x + ( x * 10 * 1 / 100 ) ] + [ x + ( x * 10 * 2 / 100 ) ] + x = 100 11 x / 10 + 12 x / 10 + x = 100 x = 30.3 answer is c" - }, - { - "Answer": 6178.846153846154, - "Options": "a ) 6178.85 , b ) 8032.5 , c ) 4462.5 , d ) 8900 , e ) none of these", - "Correct": "a", - "Explanation": "\"let the sums be p . now , 65 % of p = 4016.25 or , p = 6178.85 answer a\"" - }, - { - "Answer": 111.11111111111111, - "Options": "a ) 108 % , b ) 105 % , c ) 111 % , d ) 112 % , e ) 114 %", - "Correct": "c", - "Explanation": "we ' re told that the number of women in a town is equal to 90 % of the number of men in that town . if . . . . men = 10 women = 9 we ' re asked for the number of men , as a percentage of the number of women . m / w = 10 / 9 = 1 1 / 9 = 1.111111 = 111 % answer : c" - }, - { - "Answer": 60.24, - "Options": "a ) $ 30.60 , b ) $ 60.60 , c ) $ 70.60 , d ) $ 40.60 , e ) $ 60.24", - "Correct": "e", - "Explanation": "\"the tip is 20 % of what he paid for lunch . hence tip = 20 % of 50.20 = ( 20 / 100 ) * 50.20 = $ 10.04 total spent 50.20 + 10.04 = $ 60.24 correct answer e\"" - }, - { - "Answer": 30, - "Options": "a ) 12 , b ) 15 , c ) 20 , d ) 24 , e ) 30", - "Correct": "e", - "Explanation": "\"60 liters of a 25 % hno 3 solution means hno 3 = 15 liters in 60 liters of the solution . now , let x be the pure hno 3 added . as per question , 15 + x = 50 % of ( 60 + x ) or x = 30 . hence , e\"" - }, - { - "Answer": 10000, - "Options": "a ) 16000 , b ) 25000 , c ) 10000 , d ) 18000 , e ) 17000", - "Correct": "c", - "Explanation": "\"let the cp be $ x . had he offered 10 % discount , profit = 8 % profit = 8 / 100 x and hence his sp = x + 8 / 100 x = $ 1.08 x = 12000 - 10 / 100 ( 12000 ) = 12000 - 1200 = $ 10800 = > 1.08 x = 10800 = > x = 10000 c\"" - }, - { - "Answer": 60, - "Options": "a ) 20 % , b ) 29 % , c ) 60 % , d ) 27 % , e ) 28 %", - "Correct": "c", - "Explanation": "\"sp 2 = 1 / 2 sp 1 cp = 100 sp 2 = 80 1 / 2 sp 1 = 80 sp 1 = 160 100 - - - 160 = > 60 % answer : c\"" - }, - { - "Answer": 320, - "Options": "a ) 228 , b ) 320 , c ) 287 , d ) 480 , e ) 811", - "Correct": "b", - "Explanation": "\"sp = 400 cp = ( sp ) * [ 100 / ( 100 + p ) ] = 400 * [ 100 / ( 100 + 25 ) ] = 400 * [ 100 / 125 ] = rs . 320 answer : b\"" - }, - { - "Answer": 36, - "Options": "a ) rs 45 , b ) rs 25 , c ) rs 40 , d ) rs 39 , e ) rs 36", - "Correct": "e", - "Explanation": "\"explanation : for an income of rs . 25 , investment = rs . 100 . for an income of rs 9 , investment = rs . 100 / 25 x 9 = rs 36 market value of rs . 100 stock = rs 36 answer is e\"" - }, - { - "Answer": 27.5, - "Options": "a ) rs 1.10 , b ) rs 11 , c ) rs 16.50 , d ) rs 27.50 , e ) none of these", - "Correct": "d", - "Explanation": "explanation : cost price of 25 kg = rs . ( 15 x 14.50 + 10 x 13 ) = rs . 347.50 . sell price of 25 kg = rs . ( 25 x 15 ) = rs . 375 . profit = rs . ( 375 \u2014 347.50 ) = rs . 27.50 . answer : d" - }, - { - "Answer": 243.75, - "Options": "a ) a ) 182 , b ) b ) 208 , c ) c ) 220 , d ) d ) 224 , e ) e ) 244", - "Correct": "e", - "Explanation": "\"if x is the original number of employees , then after 20 % reduction in employees number is . 80 x but we are given . 80 x = 195 x = 244 so the original number of employees is 244 correct answer - e\"" - }, - { - "Answer": 65, - "Options": "a ) 69 . , b ) 73 . , c ) 81 , d ) 65 , e ) 108", - "Correct": "d", - "Explanation": "\"total students = 420 boys = 320 , girls = 100 total playing soccer = 250 86 % of 250 = 215 are boys who play soccer . girls who play soccer = 35 . total girls who do not play soccer = 100 - 35 = 65 . correct option : d\"" - }, - { - "Answer": 1000000, - "Options": "a ) 5000000 , b ) 4000000 , c ) 1000000 , d ) 6000000 , e ) none", - "Correct": "c", - "Explanation": "\"suppose q invested rs . y . then , 500000 / y = 2 / 4 or y = [ 500000 x 4 / 2 ] = 1000000 . answer c\"" - }, - { - "Answer": 650, - "Options": "a ) 670 , b ) 650 , c ) 698 , d ) 744 , e ) 700", - "Correct": "b", - "Explanation": "\"since both peter and david invested the same amount of money at the same rate , they would earn same interest per year . david invested for one year more than peter and hence he got interest amount for one more year . interest earned per year = amount received by david - amount received by peter = 870 - 815 = 55 interest earned for 3 years = 55 * 3 = 165 amount invested = 815 - 165 = 650 answer : b\"" - }, - { - "Answer": 1100, - "Options": "a ) $ 800 , b ) $ 900 , c ) $ 1000 , d ) $ 1100 , e ) $ 1200", - "Correct": "d", - "Explanation": "\"the ratio of capital of a , b and c = 15000 : 21000 : 27000 = 5 : 7 : 9 a ' s share = ( 5 / 7 ) * 1540 = $ 1100 the answer is d .\"" - }, - { - "Answer": 12.5, - "Options": "a ) 12 , b ) 12.5 , c ) 13 , d ) 13.5 , e ) 14", - "Correct": "b", - "Explanation": "explanation : let sum = x then simple interest = x rate = ( 100 * x ) / ( x * 8 ) = 12.5 option b" - }, - { - "Answer": 37.5, - "Options": "a ) 39.25 , b ) 37.25 , c ) 37.26 , d ) 38.21 , e ) 38.32", - "Correct": "b", - "Explanation": "number of chocolates = 10,000 currently eaten = 10,000 * 20 / 100 = 2000 uneaten chocolates = 10000 - 2000 = 8000 2 / 3 of all chocolates = 5000 the number of chocolates to be eaten to make 2 / 3 of all chocolates eaten = 5000 - 2000 = 3000 so now the question remains - 3000 is how much percentage of uneaten chocolates ( 8000 ) = 3000 * 100 / 8000 = 37.5 answer ( b )" - }, - { - "Answer": 1055, - "Options": "a ) rs . 1020.80 , b ) rs . 1025 , c ) rs . 1055 , d ) data inadequate , e ) none of these", - "Correct": "c", - "Explanation": "\"solution s . i . = rs . ( 956 - 825 ) = rs . 131 rate = ( 100 x 131 / 825 x 3 ) = 524 / 99 % new rate = ( 524 / 99 + 4 ) % = 920 / 99 % new s . i . = rs . ( 825 x 920 / 99 x 3 / 100 ) rs . 230 . \u2234 new amount = rs . ( 825 + 230 ) = rs . 1055 . answer c\"" - }, - { - "Answer": 19.999999999999996, - "Options": "a ) 22 , b ) 27 , c ) 20 , d ) 21 , e ) 12", - "Correct": "c", - "Explanation": "\"cp = rs . 540 , mp = 540 + 15 % of 540 = rs . 621 sp = rs . 496.80 , discount = 621 - 496.80 = 124.20 discount % = 124.2 / 621 * 100 = 20 % . answer : c\"" - }, - { - "Answer": 20, - "Options": "a ) 20 , b ) 66 , c ) 18 , d ) 19 , e ) 01", - "Correct": "a", - "Explanation": "\"explanation : dividend on 1 share = ( 12.5 * 40 ) / 100 = rs . 5 rs . 25 is income on an investment of rs . 100 rs . 5 is income on an investment of rs . ( 5 * 100 ) / 25 = rs . 20 answer : a\"" - }, - { - "Answer": 10815.834432633617, - "Options": "a ) $ 10079.44 , b ) $ 10815.83 , c ) $ 12652.61 , d ) $ 14232.14 , e ) $ 20598.11", - "Correct": "b", - "Explanation": "solution : first of all , notice the magic word \u201c approximately \u201d \u2014 the test - writer is letting us know estimation is perfectly fine . furthermore , the answer choices are nicely spread out , which will facilitate estimating . ok , get ready for some fast & furious estimation . the interest rate 3.96 % is an ugly number , so i \u2019 m going to approximate that as 4 % . it compounds semiannually , so that means that there \u2019 s 2 % every six months , and that happens four times in two years . well , 2 % of $ 10000 is $ 200 . if you get $ 200 , or a little more , on four occasions , that \u2019 s a little more than $ 800 in interest . we expect an answer slightly higher than $ 10800 , so of course ( b ) is just right . notice , i estimated so that everything up until the last sum was single - digit math . single - digit calculations are a good standard for which to strive when you are practicing estimation . by the way , if you find the bank that will do answer ( e ) , double your money in only two years , that \u2019 s terrific , but it probably is something wildly illegal , a ponzi scheme or worse ! in the real world , that just doesn \u2019 t happen . on word problems , especially in financial situations , you should always have your antenna up for what \u2019 s realistic or unrealistic . answer ( b )" - }, - { - "Answer": 800, - "Options": "a ) a ) 400 , b ) b ) 500 , c ) c ) 600 , d ) d ) 700 , e ) e ) 800", - "Correct": "e", - "Explanation": "explanation : formula : ( after = 100 denominator ago = 100 numerator ) 1150 * 100 / 125 * 100 / 115 = 800 answer : option e" - }, - { - "Answer": 426.0869565217392, - "Options": "a ) 391 , b ) 426 , c ) 410 , d ) 423 , e ) 445", - "Correct": "b", - "Explanation": "\"d = number of employees in december j = number of employees in january j x 1.15 = d j x 1.15 = 490 j = 490 / 1.15 j = 49,000 / 115 = 426 thus b is the correct answer .\"" - }, - { - "Answer": 1325, - "Options": "a ) rs . 1325 , b ) rs . 1300 , c ) rs . 1350 , d ) rs . 1500 , e ) none", - "Correct": "a", - "Explanation": "solution required sum = p . w . of rs . 702 due 6 month hence + p . w . of rs . 702 due 1 year hence = rs . [ ( 100 x 702 / 100 + 8 x 1 / 2 ) + ( 100 x 702 / 100 + ( 8 x 1 ) ) ] = rs . ( 675 + 650 ) = rs . 1325 . answer a" - }, - { - "Answer": 180, - "Options": "a ) 14.4 , b ) 180 , c ) 50.4 , d ) 60 , e ) 90", - "Correct": "b", - "Explanation": "\"20 % of area of the floor = 4 * 9 square feet = 36 square feet i . e . 100 % area of floor = ( 36 / 20 ) * 100 = 180 square feet answer : option b\"" - }, - { - "Answer": 1000, - "Options": "a ) 800 , b ) 1000 , c ) 1200 , d ) 1400 , e ) 1600", - "Correct": "b", - "Explanation": "\"p - 520 = ( p * 6 * 8 ) / 100 p = 1000 the answer is b .\"" - }, - { - "Answer": 288, - "Options": "a ) 200 , b ) 210 , c ) 180 , d ) 288 , e ) 220", - "Correct": "d", - "Explanation": "explanation final number = initial number + 20 % ( original number ) = 240 + 20 % ( 240 ) = 240 + 48 = 288 . answer d" - }, - { - "Answer": 45.5, - "Options": "a ) 45.5 km , b ) 27.250 km , c ) 28.250 km , d ) 29.250 km , e ) 25.250 km", - "Correct": "a", - "Explanation": "as the two persons are moving in the opposite direction , so they will be separateed in 1 hour = 6 + 7 = 13 km . they will be separated in 2.5 hours = 13 * 3.5 = 45.5 km answer : a" - }, - { - "Answer": 89.58333333333334, - "Options": "a ) 75 , b ) 80 , c ) 85 , d ) 90 , e ) 95", - "Correct": "d", - "Explanation": "\"the area of a circle is pir ^ 2 , where r is the radius . the area of the big circle is 64 pi . the area of the small circle is 16 pi . the area a 1 between the circles is 48 pi . when the big circle ' s radius increases , the new area is 100 pi . when the small circle ' s radius decreases , the new area is 9 pi . the area a 2 between the circles is 91 pi . the ratio of a 2 / a 1 is 91 / 48 = 1.9 which is an increase of 90 % . the answer is d .\"" - }, - { - "Answer": 729, - "Options": "a ) $ 900 , b ) $ 810 , c ) $ 915 , d ) $ 715 , e ) $ 729", - "Correct": "e", - "Explanation": "\"p = $ 900 r = 10 % t = 2 years machine value after 2 years = p [ ( 1 - r / 100 ) ^ t ] = 900 * 9 / 10 * 9 / 10 = $ 729 answer is e\"" - }, - { - "Answer": 10, - "Options": "a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 30 %", - "Correct": "a", - "Explanation": "let the third number be x first number = 70 % of x = 7 x / 10 ; second number = 63 % of x = 63 x / 100 ; difference = 7 x / 10 - 63 x / 100 = 7 x / 100 ; required percentage = 7 x / 100 * 10 / 7 x * 100 = 10 % answer is a" - }, - { - "Answer": 1500, - "Options": "a ) 600 , b ) 900 , c ) 1200 , d ) 1350 , e ) 1500", - "Correct": "e", - "Explanation": "let the total no of students be n . the no of seniors having cars is 40 % of 300 i . e . 120 . the rest of the students with other three grades who have cars is 10 % of ( n - 300 ) . the total no of students with cars is 15 % of n . thus , 0.15 n = 120 + 0.1 ( n - 300 ) on solving this , we get n = 1800 . hence , the no of students with other three grades is 1800 - 300 , i . e . 1500 ( e ) ." - }, - { - "Answer": 285.00000000000006, - "Options": "a ) 105 , b ) 155 , c ) 125 , d ) 185 , e ) 285", - "Correct": "e", - "Explanation": "\"let the market price of each pen be $ 1 then , cost price of 140 pens = $ 36 selling price of 140 pens = 99 % of $ 140 = $ 138.60 profit % = ( ( 102.60 * 100 ) / 36 ) % = 285 % answer e\"" - }, - { - "Answer": 30, - "Options": "a ) 30 % , b ) 35 % , c ) 40 % , d ) 45 % , e ) 50 %", - "Correct": "a", - "Explanation": "\"the number of silver cars is 0.2 * 40 + 0.35 * 80 = 36 the percentage of cars which are silver is 36 / 120 = 30 % the answer is a .\"" - }, - { - "Answer": 12, - "Options": "a ) 15 , b ) 20 , c ) 12 , d ) 14 , e ) 7", - "Correct": "c", - "Explanation": "an alloy of 48 oz which is 25 % gold means there is 12 oz of gold . to get to an alloy that is 40 % gold , let ' s use this expression : ( 12 + x ) / ( 48 + x ) = 0.40 with x representing the amount of pure gold that must be added to get to 40 % . the expression we are using represents the new total weight of pure gold over the new total weight of the alloy and this fraction should represent 40 % or 0.4 . you will see that 12 is the correct answer , as 24 / 60 = 0.4 choose c" - }, - { - "Answer": 7000, - "Options": "a ) s . 5000 , b ) s . 7000 , c ) s . 14000 , d ) s . 17000 , e ) s . 27000", - "Correct": "b", - "Explanation": "\"let the sum be rs . x . ( x * 15 * 2 ) / 100 - ( x * 12 * 2 ) / 100 = 420 = > 30 x / 100 - 24 x / 100 = 420 = > 6 x / 100 = 420 = > x = 7000 . answer : b\"" - }, - { - "Answer": 24, - "Options": "a ) 16 , b ) 18 , c ) 20 , d ) 22 , e ) 24", - "Correct": "e", - "Explanation": "\"let 0.50 % of x = 0.12 . then , 0.50 * x / 100 = 0.12 x = [ ( 0.12 * 100 ) / 0.50 ] = 24 . answer is e .\"" - }, - { - "Answer": 45, - "Options": "a ) 35 , b ) 40 , c ) 42 , d ) 45 , e ) 48", - "Correct": "d", - "Explanation": "1 % of a 50 liter solution is 0.5 l which is 10 % of the solution at the end . the solution at the end must be 5 l . we need to evaporate 45 liters . the answer is d ." - }, - { - "Answer": 190, - "Options": "a ) 129 , b ) 287 , c ) 190 , d ) 188 , e ) 112", - "Correct": "c", - "Explanation": "\"explanation : cp per kg of mixture = [ 27 ( 150 ) + 36 ( 125 ) ] / ( 27 + 36 ) = rs . 135.71 sp = cp [ ( 100 + profit % ) / 100 ] = 135.71 * [ ( 100 + 40 ) / 100 ] = rs . 190 . answer : c\"" - }, - { - "Answer": 400, - "Options": "a ) 191 , b ) 400 , c ) 737 , d ) 840 , e ) 1,560", - "Correct": "b", - "Explanation": "\"let weight of side of beef before processing = x ( 60 / 100 ) * x = 240 = > x = ( 240 * 100 ) / 60 = 400 answer b\"" - }, - { - "Answer": 6947.5, - "Options": "a ) rs . 6725 , b ) rs . 6727 , c ) rs . 6908 , d ) rs . 6725 , e ) rs . 6947.5", - "Correct": "e", - "Explanation": "\"cp = sp * ( 100 / ( 100 + profit % ) ) = 8337 ( 100 / 120 ) = rs . 6947.5 answer : e\"" - }, - { - "Answer": 19800, - "Options": "a ) $ 3,750 , b ) $ 19,800 , c ) $ 8,100 , d ) $ 15,000 , e ) $ 22,500", - "Correct": "b", - "Explanation": "\"x = 8 % 112 / x years = 112 / 8 = 14 years now , money triples every 14 years therefore , in 14 yrs , if $ 2200 triples to $ 6600 , in 28 years , it will again triple to $ 6600 * 3 = $ 19,800 answer b\"" - }, - { - "Answer": 11.607142857142861, - "Options": "a ) 22 % , b ) 25 % , c ) 77 % , d ) 99 % , e ) 11.6 %", - "Correct": "e", - "Explanation": "\"896 - - - 104 100 - - - ? = > 11.6 % answer : e\"" - }, - { - "Answer": 17.5, - "Options": "a ) 17.5 % , b ) 16 % , c ) 15.4 % , d ) 12.6 % , e ) 13.5 %", - "Correct": "a", - "Explanation": "\"let the total income be x then , income left = ( 100 - 50 ) % of x - [ 100 - ( 50 + 15 ) ] % of x = 50 % of 35 % of x = 17.5 % of x answer is a\"" - }, - { - "Answer": 20, - "Options": "a ) 12 , b ) 18 , c ) 20 , d ) 22 , e ) 24", - "Correct": "c", - "Explanation": "\"let the length and the breadth of the floor be l m and b m respectively . l = b + 200 % of b = l + 2 b = 3 b area of the floor = 400 / 3 = 133.33 sq m l b = 133.33 i . e . , l * l / 3 = 133.33 l ^ 2 = 400 > l = 20 . c\"" - }, - { - "Answer": 83.33333333333334, - "Options": "a ) 83.55 % , b ) 83.33 % , c ) 80 % , d ) 83.39 % , e ) 84.33 %", - "Correct": "b", - "Explanation": "explanation : solution : let c . p . of each chocolate be re . 1 . then , c . p . of 24 chocolates = rs . 24 ; s . p . of 24 chocolates = rs . 44 . . ' . gain % = 20 * 100 / 24 = 83.33 % answer : b" - }, - { - "Answer": 85, - "Options": "a ) 5 , b ) 15 , c ) 85 , d ) 90 , e ) 95", - "Correct": "c", - "Explanation": "90 percent are solid colors including solid yellow . 5 percent are solid yellow . 90 % - 5 % = 85 % , so 85 percent are a solid color other than yellow = > ( c )" - }, - { - "Answer": 528, - "Options": "a ) $ 503 , b ) $ 504 , c ) $ 515 , d ) $ 528 , e ) $ 537", - "Correct": "d", - "Explanation": "\"explanation : cash price = $ 22 000 deposit = 10 % \u00e3 \u2014 $ 22 000 = $ 2200 loan amount = $ 22000 \u00e2 \u02c6 \u2019 $ 2200 number of payments = 60 = $ 19800 i = p * r * t / 100 i = 11880 total amount = 19800 + 11880 = $ 31680 regular payment = total amount / number of payments = 528 answer : d\"" - }, - { - "Answer": 80, - "Options": "a ) 20 , b ) 33 1 / 3 , c ) 35 , d ) 40 , e ) 80", - "Correct": "e", - "Explanation": "consider total # of rooms to be 100 ; as 3 / 5 of the rooms are air conditioned then # of rooms that are air conditioned is 3 / 5 * 100 = 60 ; 3 / 4 rooms were rented - - > 1 / 4 * 100 = 25 were not rented ; 2 / 3 of air conditioned rooms were rented - - > 1 / 3 * 60 = 20 air conditioned room were not rented ; 20 / 25 = 4 / 5 = 80 % . answer : e ." - }, - { - "Answer": 2500, - "Options": "a ) 2000 , b ) 2300 , c ) 2700 , d ) 2500 , e ) 250", - "Correct": "d", - "Explanation": "let the number of meters to be examined be x . then , 0.08 % of x = 2 [ ( 8 / 100 ) * ( 1 / 100 ) * x ] = 2 x = [ ( 2 * 100 * 100 ) / 8 ] = 2500 answer is d ." - }, - { - "Answer": 1428.5714285714287, - "Options": "a ) 1000 , b ) 1429 , c ) 1977 , d ) 2778 , e ) 2711", - "Correct": "b", - "Explanation": "\"90 % 104 % - - - - - - - - 14 % - - - - 200 100 % - - - - ? = > rs . 1429 answer : b\"" - }, - { - "Answer": 4000, - "Options": "a ) 1000 , b ) 2000 , c ) 3000 , d ) 4000 , e ) 5000", - "Correct": "d", - "Explanation": "ratio of the initial investment = 7 / 2 : 4 / 3 : 6 / 5 = 105 : 40 : 36 therefore , let the initial investments of a , b and c be 105 x , 40 x and 36 x respectively a increases his share 50 % after 4 months . hence the ratio of their investments = ( 105 x \u00d7 4 ) + ( 105 x \u00d7 150 / 100 \u00d7 8 ) : 40 x \u00d7 12 : 36 x \u00d7 12 = 105 + ( 105 \u00d7 3 / 2 \u00d7 2 ) : 40 \u00d7 3 : 36 \u00d7 3 = 105 \u00d7 4 : 40 \u00d7 3 : 36 \u00d7 3 = 35 \u00d7 4 : 40 : 36 = 35 : 10 : 9 b ' s share = total profit \u00d7 10 / 54 = 21600 \u00d7 10 / 54 = 4000 answer is d ." - }, - { - "Answer": 149.99999999999986, - "Options": "a ) 200 , b ) 175 , c ) 150 , d ) 125 , e ) 100", - "Correct": "c", - "Explanation": "there are 297 managers and 3 others . the 3 others would compose 2 % of the total number of people if there were 150 people in the room . thus 150 managers must leave . the answer is c ." - }, - { - "Answer": 16.92307692307692, - "Options": "a ) 15.92 % , b ) 16.92 % , c ) 17.92 % , d ) 18.92 % , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : let the cost price = rs 100 then , marked price = rs 130 required gain = 8 % , so selling price = rs 108 discount = 130 - 108 = 22 discount % = ( 22 / 130 ) * 100 = 16.92 % option b\"" - }, - { - "Answer": 200, - "Options": "a ) a ) 100 , b ) b ) 120 , c ) c ) 250 , d ) d ) 200 , e ) e ) 160", - "Correct": "d", - "Explanation": "\"then , 10 % of x = 20 ( 10 / 100 ) x = 20 x = ( 20 * 100 * ) / 10 = 200 answer is d\"" - }, - { - "Answer": 57.39999999999998, - "Options": "a ) s . 57.40 , b ) s . 57.22 , c ) s . 51.219 , d ) s . 56.18 , e ) s . 53.11", - "Correct": "a", - "Explanation": "\"explanation : sum = ( 56 * 100 ) / ( 2 * 5 ) = rs . 560 amount = [ 560 * ( 1 + 5 / 100 ) 2 ] = rs . 617.4 c . i . = ( 617.4 - 560 ) = rs . 57.4 . answer : a\"" - }, - { - "Answer": 20, - "Options": "a ) 10 % , b ) 20 % , c ) 30 % , d ) 25 % , e ) 28 %", - "Correct": "b", - "Explanation": "\"cp = 50 sp = 60 profit = 60 - 50 = 10 % = 10 / 50 * 100 = 20 % answer : b\"" - }, - { - "Answer": 40, - "Options": "a ) 11 , b ) 40 , c ) 18 , d ) 16 , e ) 12", - "Correct": "b", - "Explanation": "\"7 * 5 : 20 * x = 7 : 10 x = 40 answer : b\"" - }, - { - "Answer": 108, - "Options": "a ) 108 \u00b0 , b ) 10 \u00b0 , c ) 18 \u00b0 , d ) 36 \u00b0 , e ) 52 \u00b0", - "Correct": "a", - "Explanation": "\"9 % microphotonics ; 14 % home electronics ; 10 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; 100 - ( 9 + 14 + 10 + 29 + 8 ) = 30 % basic astrophysics . 30 % of 360 \u00b0 is 108 \u00b0 . answer : a .\"" - }, - { - "Answer": 9261.000000000002, - "Options": "a ) rs . 9621 , b ) rs . 6921 , c ) rs . 9261 , d ) rs . 6261 , e ) rs . 6361", - "Correct": "c", - "Explanation": "\"c . i = p ( 1 + r / 100 ) ^ n = 8000 ( 1 + 5 / 100 ) ^ 3 = 8000 ( 21 / 20 * 21 / 20 * 21 / 20 ) = rs 9261 answer : c\"" - }, - { - "Answer": 20, - "Options": "a ) 20 % , b ) 28 % , c ) 60 % , d ) 26 % , e ) 30 %", - "Correct": "a", - "Explanation": "\"sp 2 = 2 / 3 sp 1 cp = 100 sp 2 = 80 2 / 3 sp 1 = 80 sp 1 = 120 100 - - - 20 = > 20 % answer : a\"" - }, - { - "Answer": 3630.0000000000005, - "Options": "a ) $ 3420 , b ) $ 3630 , c ) $ 3870 , d ) $ 4040 , e ) $ 4220", - "Correct": "b", - "Explanation": "\"a = ( 1 + r / 100 ) ^ n * p ( 1.1 ) ^ 2 * 5000 = 1.21 * 5000 = 3630 the answer is b .\"" - }, - { - "Answer": 14.823529411764707, - "Options": "a ) rs 8.82 , b ) rs 9.82 , c ) rs 10.82 , d ) rs 14.82 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : 85 : 12 = 105 : x x = ( 12 \u00d7 105 / 85 ) = rs 14.82 option d\"" - }, - { - "Answer": 114.94252873563218, - "Options": "a ) 237 , b ) 126 , c ) 971 , d ) 611 , e ) 115", - "Correct": "e", - "Explanation": "\"explanation : let cp be 100 a sells at 35 % profit so sp = 135 b sells at 45 % profit = 135 x ( 1 + 45 / 100 ) = 195.75 cp sp 100 - - - 195.75 x - - - 225 cp = 225 x 100 / 195.75 = 114.94 answer : e\"" - }, - { - "Answer": 9, - "Options": "a ) 8 , b ) 9 , c ) 7 , d ) 6 , e ) 5", - "Correct": "b", - "Explanation": "\"75 % - - - 15 125 % - - - ? 75 / 125 * 15 = 9 answer : b\"" - }, - { - "Answer": 30, - "Options": "a ) 35 % , b ) 10 % , c ) 20 % , d ) 30 % , e ) 33 %", - "Correct": "d", - "Explanation": "\"explanation : solution : let c . p . of each chocolate be re . 1 . then , c . p . of 50 chocolates = rs . 50 ; s . p . of 50 chocolates = rs . 65 . . ' . gain % = 15 * 100 / 50 = 30 % answer : d\"" - }, - { - "Answer": 0.27586206896551724, - "Options": "a ) 4 / 25 , b ) 8 / 29 , c ) 2 / 5 , d ) 8 / 15 , e ) 2 / 3", - "Correct": "b", - "Explanation": "\"let there be 100 books in all historic fiction books = 40 % of total = 40 other books = 60 new historic fiction = 40 % of 40 = 16 other new books = 70 % of 60 = 42 total new books = 58 fraction = 16 / 58 = 8 / 29 ans : b\"" - }, - { - "Answer": 15, - "Options": "a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 18", - "Correct": "d", - "Explanation": "dividend on rs 20 = 9 / 100 * 20 = 9 / 5 is 12 income 100 9 / 5 is an income on rs ( 100 / 12 * 9 / 5 ) = rs 15 answer d" - }, - { - "Answer": 360, - "Options": "a ) rs . 360 , b ) rs . 432 , c ) rs . 540 , d ) rs . 1080 , e ) rs . 1280", - "Correct": "a", - "Explanation": "\"sum = ( b . d * t . d ) / ( b . d - t . d ) ( 72 * 60 ) / 72 - 60 ; 360 answer : a\"" - }, - { - "Answer": 227.70000000000002, - "Options": "a ) 321 , b ) 276 , c ) 342 , d ) 228 , e ) 245", - "Correct": "d", - "Explanation": "\"explanation : 345 * ( 88 / 100 ) * ( 75 / 100 ) = 228 answer : d\"" - }, - { - "Answer": 264.00000000000034, - "Options": "a ) 160 , b ) 220 , c ) 264 , d ) 360 , e ) 420", - "Correct": "c", - "Explanation": "\"let ' s xx be total quantity of employees 0.6 x = females before adding men 0.55 ( x + 22 ) = females after adding men as quantity of women does n ' t change we can make an equation : 0.6 x = 0.55 ( x + 22 ) 0.05 x = 12.1 x = 242 - this is quantity of employees before adding 22 men so after adding it will be 264 answer is c\"" - }, - { - "Answer": 10.5, - "Options": "a ) rs 8.5 , b ) rs 9.5 , c ) rs 10.5 , d ) rs 11.5 , e ) none of these", - "Correct": "c", - "Explanation": "explanation : 80 : 8 = 105 : x x = ( 8 \u00d7 105 / 80 ) = rs 10.5 option c" - }, - { - "Answer": 2500, - "Options": "a ) 2500 , b ) 2800 , c ) 3500 , d ) 1900 , e ) 1500", - "Correct": "a", - "Explanation": "sol . principal = rs . [ 100 * 1000 / 10 * 4 ] = rs . [ 100000 / 40 ] = rs . 2500 . answer a" - }, - { - "Answer": 68.57142857142857, - "Options": "a ) 25 % , b ) 50 % , c ) 69 % , d ) 80 % , e ) 100 %", - "Correct": "c", - "Explanation": "\"basically we can disregard the radius is 25 % information , as we are only asked about the height of the original and the new cylinder . this is becausethe new cylinder is 3 / 5 fullmeans the same as that it ' s height is 3 / 5 . original cylinder 7 / 8 new cylinder 3 / 5 so 3 / 5 / 7 / 8 = 3 / 5 * 8 / 7 = 0.69 or 69 % . answer c\"" - }, - { - "Answer": 39.5, - "Options": "a ) 27.5 % , b ) 30 % , c ) 35 % , d ) 39.5 % , e ) 40 %", - "Correct": "d", - "Explanation": "\"assume the total price = 100 x price after 20 % markup = 120 x price after 25 % further markup = 1.25 * 120 x = 150 x price after the discount = 0.93 * 150 x = 139.5 x hence total profit = 39.5 % option d\"" - }, - { - "Answer": 6153.846153846153, - "Options": "a ) 4063 , b ) 5325 , c ) 5351 , d ) 6000 , e ) 6154", - "Correct": "e", - "Explanation": "\"interest = 0.08 * 5000 = 0.065 * selling price - - > selling price = 0.08 * 5000 / 0.065 - - > selling price = ~ 6,154 answer : e .\"" - }, - { - "Answer": 30, - "Options": "a ) 28 % , b ) 30 % , c ) 32 % , d ) 34 % , e ) 36 %", - "Correct": "b", - "Explanation": "\"1 . 20 % of 400 = 80 pounds of decaffeinated coffee 2 . 70 % of 100 = 70 pounds of decaffeinated coffee 3 . wt have 150 pounds of decaffeinated out of 500 pounds , that means 150 / 500 * 100 % = 30 % . the correct answer is b .\"" - }, - { - "Answer": 87.5, - "Options": "a ) 87.5 , b ) 89.5 , c ) 82.3 , d ) 82.1 , e ) 92.4", - "Correct": "a", - "Explanation": "\"cp = 66.5 sp = 66.5 * ( 125 / 100 ) = 83.125 mp * ( 95 / 100 ) = 59.375 mp = 87.5 answer : a\"" - }, - { - "Answer": 8965, - "Options": "a ) 5768 , b ) 8925 , c ) 8965 , d ) 6474 , e ) 8723", - "Correct": "c", - "Explanation": "\"principal = ( 100 x 4034.25 ) / ( 9 x 5 ) = 403425 / 45 = 8965 . answer c\"" - }, - { - "Answer": 17.446043165467625, - "Options": "a ) 16.8 % , b ) 17.4 % , c ) 17.9 % , d ) 18.5 % , e ) 19.1 %", - "Correct": "b", - "Explanation": "\"given : selling price of an apple = 23 - - > cost price = 23 / 1.15 = 20 selling price of an orange = 10 - - > cost price = 10 / 1.25 = 8 a > o 23 * ( a ) + 10 * ( o ) = 653 653 - 23 * ( a ) has to be divisible by 10 - - > units digit has to be 0 values of a can be 1 , 11 , 21 , 31 , . . . . - - > 1 can not be the value between 11 and 21 , if a = 11 , o = 30 - - > not possible if a = 21 , o = 17 - - > possible cost price = 20 * 21 + 8 * 17 = 420 + 136 = 556 profit = 653 - 556 = 97 profit % w = ( 97 / 556 ) * 100 = 17.4 % answer : b\"" - }, - { - "Answer": 42, - "Options": "a ) s . 12 , b ) s . 15 , c ) s . 18 , d ) s . 21 , e ) s . 42", - "Correct": "e", - "Explanation": "\"dividend on rs . 56 = rs . 9 / 100 x 56 = rs . 5.04 . rs . 12 is an income on rs . 100 . rs . 5.04 is an income on rs . 100 / 12 x 5.04 = rs . 42 . answer : option e\"" - }, - { - "Answer": 55, - "Options": "a ) 20 , b ) 25 , c ) 30 , d ) 35 , e ) 55", - "Correct": "e", - "Explanation": "\"say the number of students who read book a is a and the number of students who read book b is b . given that 20 % of those who read book a also read book b and 25 % of those who read book b also read book a , so the number of students who read both books is 0.2 a = 0.25 b - - > a = 1.25 b . since each student read at least one of the books then { total } = { a } + { b } - { both } - - > 440 = 1.25 b + b - 0.25 b - - > b = 220 , a = 1.25 b = 275 and { both } = 0.25 b = 55 . the number of students who read only book a is { a } - { both } = 125 - 25 = 100 ; the number of students who read only book b is { b } - { both } = 275 - 55 - 220 ; the difference is 220 - 55 = 165 . answer : e .\"" - }, - { - "Answer": 14.285714285714285, - "Options": "a ) 10.5 % , b ) 12.5 % , c ) 14.3 % , d ) 22 % , e ) 30 %", - "Correct": "c", - "Explanation": "\"suppose there are x motorists . 10 % of them exceeded the speed limit and received the ticket , i . e . x / 10 . again , suppose total no . of motorists who exceeded the speed limit are y . 30 % of y exceeded the speed limit but did n ' t received the ticket , i . e . 3 y / 10 . it means 7 y / 10 received the ticket . hence , 7 y / 10 = x / 10 or y / x = 1 / 7 or y / x * 100 = 1 / 7 * 100 = 14.3 % c\"" - }, - { - "Answer": 200, - "Options": "a ) 200 , b ) 240 , c ) 198 , d ) 190 , e ) 322", - "Correct": "a", - "Explanation": "\"( 95 / 100 ) * x \u00e2 \u20ac \u201c 12 = 178 9.5 x = 1900 x = 200 answer : a\"" - }, - { - "Answer": 4000, - "Options": "a ) rs . 1200 , b ) rs . 1300 , c ) rs . 1500 , d ) rs . 4000 , e ) none of these", - "Correct": "d", - "Explanation": "explanation : interest on rs . 8000 at 5 % per annum = ( 8000 \u00d7 5 \u00d7 1 ) / 100 = rs . 400 let his additional investment at 8 % = x interest on rs . x at 8 % per annum = ( x \u00d7 8 \u00d7 1 ) / 100 = 2 x / 25 . to earn 6 % per annum for the total , interest = ( 8000 + x ) \u00d7 6 \u00d7 1 / 100 . = > 400 + 2 x / 25 = ( 8000 + x ) \u00d7 6 \u00d7 1 / 100 . = > 40000 + 8 x = ( 8000 + x ) \u00d7 6 . = > 40000 + 8 x = 48000 + 6 x . = > 2 x = 8000 . = > x = 4000 . answer : d" - }, - { - "Answer": 26.536312849162012, - "Options": "a ) 6 % . , b ) 7.5 % . , c ) 9.2 % . , d ) 10.5 % . , e ) 26.5 % .", - "Correct": "e", - "Explanation": "\"denominator : 340 + 8 + 3.2 + 6.8 = 358 numerator : 340 ( 1 - . 64 - . 09 ) + 3.2 340 ( 0.27 ) + 3.2 91.8 + 3.2 95 ratio : 95 / 358 = 0.265 answer : e\"" - }, - { - "Answer": 933.3333333333334, - "Options": "a ) s . 933.33 , b ) s . 1009 , c ) s . 1007 , d ) s . 1006 , e ) s . 1002", - "Correct": "a", - "Explanation": "\"explanation : 90 % 105 % - - - - - - - - 15 % - - - - 140 100 % - - - - ? = > rs . 933.33 answer : a\"" - }, - { - "Answer": 16, - "Options": "a ) 16 , b ) 8 , c ) 9 , d ) 4 , e ) 3", - "Correct": "a", - "Explanation": "\"96 % - - - - 24 144 % - - - - ? 96 / 144 * 24 = 16 answer : a\"" - }, - { - "Answer": 66.5, - "Options": "a ) 50.4 % , b ) 23.8 % , c ) 66.5 % , d ) 34.9 % , e ) 43.5 %", - "Correct": "c", - "Explanation": "let n be the total number of books sold . hence n = 75 + 50 + 64 + 78 + 135 = 402 let m be the books not sold m = 1200 - n = 1200 - 402 = 798 percentage books not sold / total number of books = 798 / 1200 = 0.665 = 66.5 % correct answer c" - }, - { - "Answer": 6693.75, - "Options": "a ) 6693.75 , b ) 8032.5 , c ) 4462.5 , d ) 8900 , e ) none of these", - "Correct": "a", - "Explanation": "\"let the sums be p . now , 60 % of p = 4016.25 or , p = 6693.75 answer a\"" - }, - { - "Answer": 7.608695652173914, - "Options": "a ) 5.3 % , b ) 7.6 % , c ) 10.6 % , d ) 12 % , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : let marked price be re . 1 each c . p . of 50 pens = rs . 46 s . p . of 50 pens = 99 % of rs . 50 = rs . 49.50 profit % = ( profit / c . p . ) x 100 profit % = ( 3.50 / 46 ) x 100 = 7.6 % answer b\"" - }, - { - "Answer": 12, - "Options": "a ) 12 , b ) 99 , c ) 27 , d ) 28 , e ) 20", - "Correct": "a", - "Explanation": "\"speed ratio = 1 : 3 / 2 = 2 : 3 time ratio = 3 : 2 1 - - - - - - - - 3 4 - - - - - - - - - ? 12 m . answer : a\"" - }, - { - "Answer": 80, - "Options": "a ) 25 , b ) 30 , c ) 50 , d ) 55 , e ) 80", - "Correct": "e", - "Explanation": "\"i came up with ( e ) 80 think of 100 people total : from the first fact , 32 of these are women with fair hair . from the second fact , these 30 women make up 40 % of the total fair haired population . we can then make a ratio of 60 : 40 fair haired men to fair haired women . this means that ( 60 / 40 ) * 32 equals the number of fair haired men , which is 48 men with fair hair . add this 48 to the 32 women and get 80 fair haired men and women out of 100 total men and women . 80 % e\"" - }, - { - "Answer": 25, - "Options": "a ) 67 % , b ) 45 % , c ) 25 % , d ) 70 % , e ) 50 %", - "Correct": "c", - "Explanation": "\"c c . p . = rs . 4 x . then , s . p . = rs . 5 x gain = ( 5 x - 4 x ) = rs . x gain % = ( x * 100 ) / 4 x = 25 % .\"" - }, - { - "Answer": 266.6666666666667, - "Options": "a ) 62.5 , b ) 62.0 , c ) 266.67 , d ) 62.1 , e ) 62.2", - "Correct": "c", - "Explanation": "\"cp = 200 sp = 200 * ( 120 / 100 ) = 240 mp * ( 90 / 100 ) = 240 mp = 266.67 answer : c\"" - }, - { - "Answer": 18400, - "Options": "a ) 17608 , b ) 17606 , c ) 17604 , d ) 18400 , e ) 117601", - "Correct": "d", - "Explanation": "\"price at which the tv set is bought = rs . 12,500 discount offered = 20 % marked price = 12500 * 100 / 80 = rs . 15625 the total amount spent on transport and installation = 125 + 250 = rs . 375 \\ total price of tv set = 15625 + 375 = rs . 16000 the price at which the tv should be sold to get a profit of 15 % if no discount was offered = 16000 * 115 / 100 = rs . 18400 . answer : d\"" - }, - { - "Answer": 1250, - "Options": "a ) 400 , b ) 625 , c ) 1250 , d ) 2500 , e ) 10 000", - "Correct": "c", - "Explanation": "\"if x is total number of fish in the pond : 4 = 50 / x * 100 = > x = 1250 so answer is c\"" - }, - { - "Answer": 50, - "Options": "a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70", - "Correct": "c", - "Explanation": "c 50 % let c . p . of each pencil be $ 1 . then , c . p . of 8 pencils = $ 8 ; s . p . of 8 pencils = $ 12 . gain % = 4 / 8 * 100 = 50 %" - }, - { - "Answer": 9.2, - "Options": "a ) 2.3 m , b ) 4.6 m , c ) 7.8 m , d ) 9.2 m , e ) 10.1", - "Correct": "d", - "Explanation": "\"let ab be the wall and bc be the ladder . then , acb = 60 \u00ba and ac = 4.6 m . ac / bc = cos 60 \u00ba = 1 / 2 bc = 2 x ac = ( 2 x 4.6 ) m = 9.2 m . answer : option d\"" - }, - { - "Answer": 9.600000000000001, - "Options": "a ) 9 , b ) 9.6 , c ) 11 , d ) 12 , e ) 13", - "Correct": "b", - "Explanation": "\"man ' s rate in still water = ( 16 - 3.2 ) km / hr = 12.8 km / hr . man ' s rate against the current = ( 12.8 - 3.2 ) km / hr = 9.6 km / hr . answer : b\"" - }, - { - "Answer": 65, - "Options": "a ) rs . 72 , b ) rs . 65 , c ) rs . 54 , d ) rs . 50 , e ) none", - "Correct": "b", - "Explanation": "\"solution t . d = [ b . g x 100 / r x t ] = rs . ( 7.8 x 100 / 12 x 1 ) = rs . 65 . answer b\"" - }, - { - "Answer": 125, - "Options": "a ) 120 , b ) 125 , c ) 130 , d ) 145 , e ) 155", - "Correct": "b", - "Explanation": "\"say the number of students who read book a is a and the number of students who read book b is b . given that 20 % of those who read book a also read book b and 25 % of those who read book b also read book a , so the number of students who read both books is 0.2 a = 0.25 b - - > a = 1.25 b . since each student read at least one of the books then { total } = { a } + { b } - { both } - - > 1000 = 1.25 b + b - 0.25 b - - > b = 500 , a = 1.25 b = 625 and { both } = 0.25 b = 125 . the number of students who read only book a is { a } - { both } = 625 - 125 = 500 ; the number of students who read only book b is { b } - { both } = 500 - 125 = 375 the difference is 500 - 375 = 125 . answer : b .\"" - }, - { - "Answer": 300, - "Options": "a ) 100 , b ) 200 , c ) 300 , d ) 400 , e ) 500", - "Correct": "c", - "Explanation": "\"let d be the race distance that p ran . let t be the time it took to complete the race . let v be q ' s speed . t = d / 1.25 v = ( d - 60 ) / v d = 1.25 d - 75 0.25 d = 75 d = 300 meters . the answer is c .\"" - }, - { - "Answer": 4, - "Options": "a ) 3 % , b ) 4 % , c ) 5 % , d ) 6 % , e ) 7 %", - "Correct": "b", - "Explanation": "\"in 5 years , the value grew $ 100 , so the simple interest was $ 20 per year . in 3 years , the total interest was 3 * $ 20 = $ 60 the principal is $ 560 - $ 60 = 500 . the interest rate is $ 20 / $ 500 = 4 % the answer is b .\"" - }, - { - "Answer": 90083, - "Options": "a ) 100000 , b ) 85236 , c ) 89562 , d ) 90083 , e ) 95842", - "Correct": "d", - "Explanation": "\"winners votes = 100 - 45 = 55 % invalid votes = 83 polled votes = [ ( 100 * 9000 ) / ( 2 * 55 - 100 ) ] + 83 = 90083 answer is d\"" - }, - { - "Answer": 40, - "Options": "a ) 10.22 % , b ) 20.22 % , c ) 21.22 % , d ) 40 % , e ) ca n ' t be calculated", - "Correct": "d", - "Explanation": "\"the owner buys 100 kg but actually gets 112 kg ; the owner sells 100 kg but actually gives 80 kg ; profit : ( 112 - 80 ) / 80 * 100 = ~ 40 % answer : d .\"" - }, - { - "Answer": 22499.999999999996, - "Options": "a ) 20029 , b ) 22500 , c ) 20289 , d ) 20027 , e ) 20026", - "Correct": "b", - "Explanation": "\"let the total worth of the stock be rs . x . the sp of 20 % of the stock = 1 / 5 * x * 1.1 = 11 x / 50 the sp of 80 % of the stock = 4 / 5 * x * 0.95 = 19 x / 25 = 38 x / 50 total sp = 11 x / 50 + 38 x / 50 = 49 x / 50 overall loss = x - 49 x / 50 = x / 50 x / 50 = 450 = > x = 22500 answer : b\"" - }, - { - "Answer": 150, - "Options": "a ) 150 , b ) 52 , c ) 58 , d ) 60 , e ) 62", - "Correct": "a", - "Explanation": "\"solution solution let the number be x . x - 16 % of x = 126 x - 16 / 100 x = 126 x - 4 / 25 x = 126 21 / 25 x = 126 x = ( 126 x 25 / 21 ) = 150 answer a\"" - }, - { - "Answer": 800, - "Options": "a ) $ 410 , b ) $ 500 , c ) $ 650 , d ) $ 800 , e ) $ 1000", - "Correct": "d", - "Explanation": "\"p = $ 10000 r = 8 % t = 12 / 12 years = 1 year s . i . = p * r * t / 100 = 10000 * 8 * 1 / 100 = $ 800 answer is d\"" - }, - { - "Answer": 31, - "Options": "a ) 24 % , b ) 34 % , c ) 22 % , d ) 31 % , e ) 8.5 %", - "Correct": "d", - "Explanation": "\"consider total solution to be 100 liters and in this case you ' ll have : 75 * 0.11 + 25 * x = 100 * 0.16 - - > x = 0.31 . answer : d .\"" - }, - { - "Answer": 0.32000000000000006, - "Options": "a ) 0.45 , b ) 0.55 , c ) 0.65 , d ) 0.32 , e ) 0.35", - "Correct": "d", - "Explanation": "say there are 100 people in that group , then there would be 0.8 * 0.40 * 100 = 32 women lawyers , which means that the probability that the member selected is a woman lawyer is favorable / total = 32 / 100 . answer : d" - }, - { - "Answer": 699.9998833333527, - "Options": "a ) 588 apples , b ) 600 apples , c ) 672 apples , d ) 700 apples , e ) none", - "Correct": "d", - "Explanation": "\"solution suppose originally he had x apples . then , ( 100 - 40 ) % of x = 420 . \u2039 = \u203a 60 / 100 \u00d7 x = 420 x \u2039 = \u203a ( 420 \u00d7 100 / 60 \u2039 = \u203a 700 . answer d\"" - }, - { - "Answer": 14000, - "Options": "a ) rs . 7000 , b ) rs . 9000 , c ) rs . 14000 , d ) rs . 17000 , e ) rs . 27000", - "Correct": "c", - "Explanation": "let the sum be rs . x . ( x * 15 * 2 ) / 100 - ( x * 12 * 2 ) / 100 = 840 = > 30 x / 100 - 24 x / 100 = 840 = > 6 x / 100 = 840 = > x = 14000 . answer : c" - }, - { - "Answer": 75, - "Options": "a ) 25 % , b ) 50 % , c ) 75 % , d ) 95 % , e ) none of them", - "Correct": "c", - "Explanation": "\"let original radius = r . new radius = ( 50 / 100 ) r = ( r / 2 ) original area = 22 / 7 ( r ) 2 = and new area = \uf0d5 ( ( r / 2 ) ) 2 = ( \uf0d5 ( r ) 2 ) / 4 decrease in area = ( ( 3 ( 22 / 7 ) ( r ) 2 ) / 4 x ( 1 / ( 22 / 7 ) ( r ) 2 ) x 100 ) % = 75 % answer is c .\"" - }, - { - "Answer": 90.47619047619048, - "Options": "a ) 105 , b ) 45 , c ) 85 , d ) 95 , e ) 90.5", - "Correct": "e", - "Explanation": "\"1 ) let the price of jacket initially be $ 100 . 2 ) then it is decreased by 25 % , therefore bringing down the price to $ 75 . 3 ) again it is further discounted by 30 % , therefore bringing down the price to $ 52.5 . 4 ) now 52.5 has to be added byx % in order to equal the original price . 52.5 + ( x % ) 52.5 = 100 . solving this eq for x , we get x = 90.5 ans is e\"" - }, - { - "Answer": 0.4, - "Options": "a ) 0.004 % , b ) 0.04 % , c ) 0.40 % , d ) 4 % , e ) 40 %", - "Correct": "c", - "Explanation": "total amount of water evaporated each day during a 50 - day period = . 0008 * 50 = . 0008 * 100 / 2 = . 08 / 2 = . 04 percent of the original amount of water evaporated during this period = ( . 04 / 10 ) * 100 % = 0.4 % answer c" - }, - { - "Answer": 69.85294117647058, - "Options": "a ) 72.85 , b ) 69.85 , c ) 62.85 , d ) 82.85 , e ) 60.85", - "Correct": "b", - "Explanation": "\"c $ 62.50 cp = 47.50 sp = 47.50 * ( 125 / 100 ) = 59.375 mp * ( 85 / 100 ) = 59.375 mp = 69.85 b\"" - }, - { - "Answer": 6500, - "Options": "a ) rs . 5725 , b ) rs . 5275 , c ) rs . 6275 , d ) rs . 6500 , e ) none of these", - "Correct": "d", - "Explanation": "\"cp = sp * ( 100 / ( 100 + profit % ) ) = 8450 ( 100 / 130 ) = rs . 6500 . answer : d\"" - }, - { - "Answer": 480, - "Options": "a ) 322 , b ) 480 , c ) 287 , d ) 192 , e ) 107", - "Correct": "b", - "Explanation": "\"explanation : sp = 600 cp = ( sp ) * [ 100 / ( 100 + p ) ] = 600 * [ 100 / ( 100 + 25 ) ] = 600 * [ 100 / 125 ] = rs . 480 answer : b\"" - }, - { - "Answer": 1080, - "Options": "a ) 600 , b ) 700 , c ) 1080 , d ) 900 , e ) 1000", - "Correct": "c", - "Explanation": "let the capital of pyarelal be x , then capital of ashok = x / 9 so ratio of investment of pyarelal and ashok = x : x / 9 = 9 x : x hence out of the total loss of 1200 , loss of pyarelal = 1200 * 9 x / 10 x = 1080 answer : c" - }, - { - "Answer": 3.3333333333333335, - "Options": "a ) 3.33 % , b ) 6 % , c ) 2 % , d ) 95 % , e ) 1 %", - "Correct": "a", - "Explanation": "\"interest for 5 yrs = 250 interest for 1 yr = 50 interest rate = 50 / 1500 x 100 = 3.33 % answer : a\"" - }, - { - "Answer": 5400, - "Options": "a ) 5400 , b ) 3797 , c ) 27877 , d ) 2772 , e ) 9911", - "Correct": "a", - "Explanation": "explanation : ratio of their investments = 22500 : 35000 = 9 : 14 so deepak ' s share = 923923 \u00d7 13800 = rs . 5,400 answer : a" - }, - { - "Answer": 165, - "Options": "a ) 100 , b ) 110 , c ) 150 , d ) 155 , e ) 165", - "Correct": "e", - "Explanation": "\"final number = initial number + 50 % ( original number ) = 110 + 50 % ( 110 ) = 110 + 55 = 165 . answer e\"" - }, - { - "Answer": 3.75, - "Options": "a ) 2.15 , b ) 4.2 , c ) 5.18 , d ) 3.75 , e ) 4.2", - "Correct": "d", - "Explanation": "\"40 % - - - 15 160 % - - - ? 40 / 160 * 15 = 3.75 answer : d\"" - }, - { - "Answer": 87.8, - "Options": "a ) 92.5 % , b ) 87.8 % , c ) 85.2 % , d ) 96.8 % , e ) 78.9 %", - "Correct": "b", - "Explanation": "\"total number of fruits shopkeeper bought = 600 + 400 = 1000 number of rotten oranges = 15 % of 600 = 15 / 100 \u00d7 600 = 9000 / 100 = 90 number of rotten bananas = 8 % of 400 = 8 / 100 \u00d7 400 = 3200 / 100 = 32 therefore , total number of rotten fruits = 90 + 32 = 122 therefore number of fruits in good condition = 1000 - 122 = 878 therefore percentage of fruits in good condition = ( 878 / 1000 \u00d7 100 ) % = ( 87800 / 1000 ) % = 87.8 % answer : b\"" - }, - { - "Answer": 357000, - "Options": "a ) 356000 , b ) 356500 , c ) 357000 , d ) 400000 , e ) none of these", - "Correct": "c", - "Explanation": "\"total number of invalid votes = 15 % of 560000 = 15 / 100 \u00d7 560000 = 8400000 / 100 = 84000 total number of valid votes 560000 \u2013 84000 = 476000 percentage of votes polled in favour of candidate a = 75 % therefore , the number of valid votes polled in favour of candidate a = 75 % of 476000 = 75 / 100 \u00d7 476000 = 35700000 / 100 = 357000 c )\"" - }, - { - "Answer": 4000, - "Options": "a ) 4000 , b ) 3050 , c ) 4400 , d ) 4500 , e ) none of these", - "Correct": "a", - "Explanation": "\"let the number be a given , 15 / 100 * 30 / 100 * 50 / 100 * a = 90 = > 3 / 20 * 3 / 10 * 1 / 2 * a = 90 = > a = 10 * 20 * 10 * 2 = 4000 . answer : a\"" - }, - { - "Answer": 4080, - "Options": "a ) 3630 , b ) 9232 , c ) 8828 , d ) 2387 , e ) 4080", - "Correct": "e", - "Explanation": "\"6300 : 4200 : 10500 3 : 2 : 5 3 / 10 * 13600 = 4080 answer : e\"" - }, - { - "Answer": 204, - "Options": "a ) $ 204 , b ) $ 216 , c ) $ 220 , d ) $ 230 , e ) $ 240", - "Correct": "a", - "Explanation": "\"wholesale cost of video recorder = 200 $ video recorder was priced at 20 percent above 200 = 240 $ % discount given by store employee = 15 emlpoyee paid = . 85 * 240 = 204 $ answer a\"" - }, - { - "Answer": 1764, - "Options": "a ) rs . 1386 , b ) rs . 1764 , c ) rs . 1575 , d ) rs . 2268 , e ) none of these", - "Correct": "b", - "Explanation": "\"solution 32.5 let p . w . be rs . x . then , s . i . on rs . x at 16 % for 9 months = rs . 189 . \u2234 x 16 x 9 / 12 x 1 / 100 } = 189 or x = 1575 . \u2234 p . w . = rs . 1575 . answer b\"" - }, - { - "Answer": 64, - "Options": "a ) 64 sec , b ) 45 sec , c ) 1 min , d ) 32 sec , e ) 25 sec", - "Correct": "a", - "Explanation": "\"speed = 9 km / hr = 9 * 5 / 18 = 5 / 2 m / sec distance = 40 * 4 = 160 m time taken = 160 * 2 / 5 = 64 sec answer is a\"" - }, - { - "Answer": 108, - "Options": "a ) 187 , b ) 120 , c ) 108 , d ) 178 , e ) 175", - "Correct": "c", - "Explanation": "\"150 * ( 80 / 100 ) * ( 90 / 100 ) = 108 answer : c\"" - }, - { - "Answer": 35.53846153846154, - "Options": "a ) 32 % , b ) 34.4 % , c ) 35 % , d ) 35.6 % , e ) 37.4 %", - "Correct": "d", - "Explanation": "( 1 ) when 30 and 40 has equal weight or weight = 1 / 2 , the answer would be 35 . ( 2 ) when 40 has larger weight than 30 , the answer would be in between 35 and 40 . unfortunately , we have 2 answer choices d and e that fit that condition so we need to narrow down our range . ( 3 ) get 72000 / 130000 = 36 / 65 . 36 / 65 is a little above 36 / 72 = 1 / 2 . thus , our answer is just a little above 35 . answer : d" - }, - { - "Answer": 1.5, - "Options": "a ) $ . 90 , b ) $ 1.00 , c ) $ 1.20 , d ) $ 1.50 , e ) $ 1.60", - "Correct": "d", - "Explanation": "\"u dont need to go through all this what u have with u is 100 p + 200 c = $ 7.50 just divide the equation by 5 and you will get what u are looking for 20 p + 40 c = $ 1.50 therefore oa is d\"" - }, - { - "Answer": 27.999999999999986, - "Options": "a ) 28 % , b ) 30 % , c ) 32 % , d ) 36 % , e ) 72 %", - "Correct": "a", - "Explanation": "\"let the initial value of baseball card = 100 after first year , value of baseball card = ( 1 - 20 / 100 ) * 100 = 80 after second year , value of baseball card = ( 1 - 10 / 100 ) * 80 = 72 total percent decrease of the card ' s value over the two years = ( 100 - 72 ) / 100 * 100 % = 28 % answer a\"" - }, - { - "Answer": 7199.999999999999, - "Options": "a ) 7000 , b ) 7200 , c ) 7400 , d ) 7600 , e ) 7800", - "Correct": "b", - "Explanation": "let the total number of original inhabitants be x . ( 75 / 100 ) * ( 90 / 100 ) * x = 4860 ( 27 / 40 ) * x = 4860 x = 4860 * 40 / 27 = 7200 the answer is b ." - }, - { - "Answer": 299.99999999999994, - "Options": "a ) 300 , b ) 150 , c ) 100 , d ) 80 , e ) 50", - "Correct": "a", - "Explanation": "\"say there are a gallons of fuel a in the tank , then there would be 200 - a gallons of fuel b . the amount of ethanol in a gallons of fuel a is 0.12 a ; the amount of ethanol in 200 - a gallons of fuel b is 0.16 ( 200 - a ) ; since the total amount of ethanol is 20 gallons then 0.12 a + 0.16 ( 200 - a ) = 20 - - > a = 300 . answer : a .\"" - }, - { - "Answer": 8.256880733944953, - "Options": "a ) 1 % , b ) 1.1 % , c ) 8.18 % , d ) 10 % , e ) 10.8 %", - "Correct": "c", - "Explanation": "\"9 = 1.1 * x x = 8.18 % answer c )\"" - }, - { - "Answer": 18000.000000000004, - "Options": "a ) rs . 15250 , b ) rs . 13375 , c ) rs . 16750 , d ) rs . 18000 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : let the investment of c be rs . x . the inverstment of b = rs . ( 2 x / 3 ) the inverstment of a = rs . ( 3 \u00d7 ( 2 / 3 ) x ) = rs . ( 2 x ) ratio of capitals of a , b and c = 2 x : 2 x / 3 : x = 6 : 2 : 3 c ' s share = rs . [ ( 3 / 11 ) \u00d7 66000 ] = rs . 18000 answer : option d\"" - }, - { - "Answer": 4, - "Options": "a ) 7 : 5 , b ) 17 : 3 , c ) 4 : 1 , d ) 17 : 7 , e ) 5 : 8", - "Correct": "c", - "Explanation": "explanation : in this type of question as time frame for both investors is equal then just get the ratio of their investments . p : q = 60000 : 15000 = 60 : 15 = 4 : 1 option c" - }, - { - "Answer": 30, - "Options": "a ) $ 30 , b ) $ 31 , c ) $ 32 , d ) $ 33 , e ) $ 34", - "Correct": "a", - "Explanation": "\"let x be the price that buyers see online . the distributor wants to receive 1.2 ( original price ) which should be 80 % of x . 1.2 ( 20 ) = 0.8 x x = 1.2 ( 20 ) / 0.8 = 1.5 ( 20 ) = $ 30 the answer is a .\"" - }, - { - "Answer": 600, - "Options": "a ) rs . 660 , b ) rs . 760 , c ) rs . 600 , d ) rs . 960 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : here always remember , when ever x % loss , it means s . p . = ( 100 - x ) % of c . p when ever x % profit , it means s . p . = ( 100 + x ) % of c . p so here will be ( 100 - x ) % of c . p . = 80 % of 750 = 80 / 100 * 750 = 600 option c\"" - }, - { - "Answer": 39.999995000000624, - "Options": "a ) 45 , b ) 36 , c ) 40 , d ) 50 , e ) 48", - "Correct": "c", - "Explanation": "\"production cost per article : $ 60 * ( 100 % - 20 % ) / 20 = $ 2.40 required production costs for a loss of 20 % : $ 80 * ( 100 % + 20 % ) = $ 96 number of articles to be sold for $ 96 to incur a 20 % loss : $ 96 / $ 2.40 = 40 thus , solution c is correct .\"" - }, - { - "Answer": 2052, - "Options": "a ) 2288 , b ) 2052 , c ) 2778 , d ) 2719 , e ) 1711", - "Correct": "b", - "Explanation": "\"explanation : given year 2024 when divided by 4 , leaves a remainder 0 . note : when remainder is 0 , 28 is added to the given year to get the result . so , 2024 + 28 = 2052 answer : b ) 2052\"" - }, - { - "Answer": 50, - "Options": "a ) 5 kg , b ) 15 kg , c ) 25 kg , d ) 50 kg , e ) none", - "Correct": "d", - "Explanation": "\"solution : let rs . 100 be spend on rice initially for 40 kg . as the price falls by 20 % , new price for 40 kg rice , = ( 100 - 20 % of 100 ) = 80 new price of rice = 80 / 40 = rs . 2 per kg . rice can bought now at = 100 / 2 = 50 kg . answer : option d\"" - }, - { - "Answer": 250.00000000000003, - "Options": "a ) 228 , b ) 278 , c ) 250 , d ) 500 , e ) 821", - "Correct": "c", - "Explanation": "\"p - 170 = ( p * 4 * 8 ) / 100 p = 250 answer : c\"" - }, - { - "Answer": 4.999999999999997, - "Options": "a ) 8 % , b ) 7 % , c ) 10 % , d ) 6 % , e ) 5 %", - "Correct": "e", - "Explanation": "\"option e explanation : 70 * ( 90 / 100 ) * ( ( 100 - x ) / 100 ) = 59.85 x = 5 %\"" - }, - { - "Answer": 6, - "Options": "a ) 5 % , b ) 6 % , c ) 7 % , d ) 8 % , e ) 9 %", - "Correct": "b", - "Explanation": "\"explanation : let rate = r % then time = r years . = > 1200 \u2217 r \u2217 r / 100 = 432 = > r 2 = 36 = > r = 6 % option b\"" - }, - { - "Answer": 50, - "Options": "a ) 39 % , b ) 20 % , c ) 23 % , d ) 50 % , e ) 83 %", - "Correct": "d", - "Explanation": "\"900 - - - - 450 100 - - - - ? = > 50 % answer : d\"" - }, - { - "Answer": 150, - "Options": "a ) 277 , b ) 268 , c ) 270 , d ) 150 , e ) 282", - "Correct": "d", - "Explanation": "\"125 % of 120 % of a = 225 125 / 100 * 120 / 100 * a = 225 a = 225 * 2 / 3 = 150 . answer : d\"" - }, - { - "Answer": 334.4, - "Options": "a ) 338 , b ) 277 , c ) 342 , d ) 334.4 , e ) 212", - "Correct": "d", - "Explanation": "\"400 * ( 88 / 100 ) * ( 95 / 100 ) = 334.4 answer : d\"" - }, - { - "Answer": 20, - "Options": "a ) 10 , b ) 80 , c ) 50 , d ) 30 , e ) 20", - "Correct": "e", - "Explanation": "\"man ' s speed with the current = 25 km / hr = > speed of the man + speed of the current = 25 km / hr speed of the current is 2.5 km / hr hence , speed of the man = 25 - 2.5 = 22.5 km / hr man ' s speed against the current = speed of the man - speed of the current = 22.5 - 2.5 = 20 km / hr answer is e .\"" - }, - { - "Answer": 100, - "Options": "a ) 400 % , b ) 200 % , c ) 100 % , d ) 600 % , e ) 800 %", - "Correct": "c", - "Explanation": "\"the area of the circle is increased by 300 % , thus the area is increased 4 times . the area of a circle it proportional to the square of the radius ( area = \u03c0 r ^ 2 ) , therefore the radius must increase 2 times ( diameter increase 2 times = area increase 4 times ) , which is increase by 100 % . answer : c\"" - }, - { - "Answer": 34, - "Options": "a ) 30 % , b ) 34 % , c ) 38 % , d ) 42 % , e ) 46 %", - "Correct": "b", - "Explanation": "say there are total of 100 students in the neighborhood , 60 students are going to school ( a ) and 40 student are going to school ( b ) 60 * 0.3 = 18 student of school ( a ) are expected to go to the new school ( c ) 40 * 0.4 = 16 student of school ( b ) are expected to go to the new school ( c ) thus total of 18 + 16 = 34 student are expected to go to the new school ( c ) , which is 34 % of students . answer : b ." - }, - { - "Answer": 7, - "Options": "a ) 8 , b ) 5 , c ) 7 , d ) 9 , e ) 6", - "Correct": "c", - "Explanation": "\"explanation : relative speed = 5.5 - 4 = 1.5 kmph ( because they walk in the same direction ) distance = 10.5 km time = distance / speed = 10.5 / 1.5 = 7 hr answer : c\"" - }, - { - "Answer": 1000.0000000000001, - "Options": "a ) 1009 , b ) 1018 , c ) 1000 , d ) 1082 , e ) 1029", - "Correct": "c", - "Explanation": "\"x * ( 110 / 100 ) * ( 95 / 100 ) = 1045 x * ( 11 / 10 ) * ( 1 / 100 ) = 11 x = 1000 answer : c\"" - }, - { - "Answer": 6.09, - "Options": "a ) 6.05 , b ) 6.09 , c ) 6.03 , d ) 6.02 , e ) 6.01", - "Correct": "b", - "Explanation": "\"explanation : 100 cm is read as 103 cm . a 1 = ( 100 \u00d7 100 ) cm 2 = 10000 and a 2 = ( 103 \u00d7 103 ) cm 2 = 10609 ( a 2 - a 1 ) = 10609 - 10000 = 609 = > 609 / 10000 * 100 = 6.09 answer : b\"" - }, - { - "Answer": 14, - "Options": "a ) 11 , b ) 10 , c ) 18 , d ) 16 , e ) 14", - "Correct": "e", - "Explanation": "\"7 * 5 : 7 * x = 7 : 10 x = 14 answer : e\"" - }, - { - "Answer": 9.454545454545453, - "Options": "a ) 9.45 % , b ) 10 % , c ) 15 % , d ) 20 % , e ) 25 %", - "Correct": "a", - "Explanation": "\"the amount of chromium in the new 20 + 35 = 55 kg alloy is 0.12 * 20 + 0.08 * 35 = 5.2 kg , so the percentage is 5.2 / 55 * 100 = 9.2 % . answer : a .\"" - }, - { - "Answer": 50, - "Options": "a ) 50 , b ) 25 , c ) 52 , d ) 58 , e ) 60", - "Correct": "a", - "Explanation": "\"let the number be x . then , x - 16 % of x = 42 . x - 16 / 100 x = 42 x = ( 42 * 25 ) / 21 = 50 answer : a\"" - }, - { - "Answer": 775, - "Options": "a ) 600 , b ) 882 , c ) 775 , d ) 662 , e ) 521", - "Correct": "c", - "Explanation": "\"cost price = rs . 620 profit = 25 % of 620 = rs . 155 selling price = cost price + profit = 620 + 155 = 775 answer : c\"" - }, - { - "Answer": 1440, - "Options": "a ) 1410 , b ) 1420 , c ) 1430 , d ) 1440 , e ) 1540", - "Correct": "d", - "Explanation": "\"s . p . = 90 % of rs . 1600 = 90 / 100 x 1600 = rs . 1440 answer : d\"" - }, - { - "Answer": 820, - "Options": "a ) $ 600 , b ) $ 820 , c ) $ 850 , d ) $ 980 , e ) $ 1,140", - "Correct": "b", - "Explanation": "\"price of 1 ticket = 20 $ revenue generated from sales of first 10 tickets = 10 * ( 60 / 100 * 20 ) = 10 * 12 = 120 revenue generated from sales of next 20 tickets = 20 * ( 85 / 100 * 20 ) = 20 * 17 = 340 revenue generated from sales of last 18 tickets = 20 * 18 = 360 revenue generated from sales of 48 tickets = 120 + 340 + 360 = 820 $ answer b\"" - }, - { - "Answer": 3599.999999999997, - "Options": "a ) 3629 , b ) 3608 , c ) 3600 , d ) 3613 , e ) 6192", - "Correct": "c", - "Explanation": "\"p = 144 ( 100 / 5 ) 2 = > p = 3600 answer : c\"" - }, - { - "Answer": 19.8, - "Options": "a ) 18 , b ) 21.6 , c ) 20 , d ) 22.5 , e ) 27", - "Correct": "c", - "Explanation": "producer price = $ 15 ; the distributor wants to maintain a 20 % profit on the cost of the item , thus he must get $ 15 * 1.2 = $ 18 after the store takes a commission of 10 % of the final price - - > ( final price ) * 0.9 = $ 18 - - > ( final price ) = $ 20 . answer : c ." - }, - { - "Answer": 88.00000000000001, - "Options": "a ) 80 % , b ) 105 % , c ) 88 % , d ) 124.2 % , e ) 138 %", - "Correct": "c", - "Explanation": "\"x = profits r = revenue x / r = 0,1 x = 10 r = 100 2009 : r = 80 x / 80 = 0,11 = 11 / 100 x = 80 * 11 / 100 x = 8.8 8.8 / 10 = 0.88 = 88 % , answer c\"" - }, - { - "Answer": 1720, - "Options": "a ) 1642 , b ) 1640 , c ) 1720 , d ) 2795 , e ) 6386", - "Correct": "c", - "Explanation": "\"( x * 8 * 3 ) / 100 = ( ( 2795 - x ) * 3 * 5 ) / 100 24 x / 100 = 41925 / 100 - 15 x / 100 39 x = 41925 = > x = 1075 second sum = 2795 \u2013 1075 = 1720 answer : c\"" - }, - { - "Answer": 70.58823529411765, - "Options": "a ) 80 , b ) 100 , c ) 70.5 , d ) 90 , e ) none of these", - "Correct": "c", - "Explanation": "\"let the number be x . then 85 % of 3 / 5 of x = 36 85 / 100 * 3 / 5 * x = 36 x = ( 36 * 100 / 51 ) = 70.5 required number = 70.5 . correct option : c\"" - }, - { - "Answer": 50, - "Options": "a ) 20 , b ) 50 , c ) 60 , d ) 40 , e ) 30", - "Correct": "b", - "Explanation": "\"machine b produces 100 part in 40 minutes . machine a produces 100 parts twice as fast as b , so machine a produces 100 parts in 40 / 2 = 20 minutes . now , machine a produces 100 parts in 20 minutes which is 100 / 20 = 5 parts / minute . 5 parts x a total of 10 minutes = 50 b\"" - }, - { - "Answer": 63, - "Options": "a ) 63 . , b ) 73 . , c ) 81 , d ) 91 , e ) 108", - "Correct": "a", - "Explanation": "\"total students = 420 boys = 312 , girls = 108 total playing soccer = 250 82 % of 250 = 205 are boys who play soccer . girls who play soccer = 45 . total girls who do not play soccer = 108 - 45 = 63 . correct option : a\"" - }, - { - "Answer": 17920, - "Options": "a ) 17608 , b ) 17920 , c ) 17604 , d ) 17600 , e ) 117601", - "Correct": "b", - "Explanation": "\"price at which the tv set is bought = rs . 12,500 discount offered = 20 % marked price = 12500 * 100 / 80 = rs . 15625 the total amount spent on transport and installation = 125 + 250 = rs . 375 \\ total price of tv set = 15625 + 375 = rs . 16000 the price at which the tv should be sold to get a profit of 10 % if no discount was offered = 16000 * 112 / 100 = rs . 17920 . answer : b\"" - }, - { - "Answer": 121.00000000000001, - "Options": "a ) $ 118.00 , b ) $ 120.00 , c ) $ 121.00 , d ) $ 122.00 , e ) $ 140.00", - "Correct": "c", - "Explanation": "\"et me explain the concept for those who are not familiar with compounded semi annually / quarterly etc . . it basically means , here , that the interest will be paid twice , after 6 months and at the end of year . . so twice . . but interest is 20 % , which will get distributed semiannually that is 10 % . . . so the q literally means . . after 6 months . . 100 * 10 / 100 + 100 = 110 . . at the end of year 110 * 10 / 100 + 110 = 121 . . or we put it in compound interest formula . . where ci = 10 % , t is 2 and p = 100 . . so amount = 100 ( 1 + 10 / 100 ) ^ 2 = 100 * 1.1 * 1.1 = 121 . . answer : c\"" - }, - { - "Answer": 67.76315789473684, - "Options": "a ) 60.5 , b ) 69.5 , c ) 67.5 , d ) 67.7 , e ) 22.5", - "Correct": "d", - "Explanation": "\"cp = 51.50 sp = 51.50 * ( 125 / 100 ) = 64.375 mp * ( 95 / 100 ) = 64.375 mp = 67.7 answer : d\"" - }, - { - "Answer": 1664, - "Options": "a ) 1672 , b ) 1664 , c ) 1677 , d ) 1698 , e ) 1679", - "Correct": "b", - "Explanation": "\"( x * 8 * 3 ) / 100 = ( ( 2704 - x ) * 3 * 5 ) / 100 24 x / 100 = 40560 / 100 - 15 x / 100 39 x = 40560 = > x = 1040 second sum = 2704 \u00e2 \u20ac \u201c 1040 = 1664 answer : b\"" - }, - { - "Answer": 210, - "Options": "a ) 200 , b ) 210 , c ) 180 , d ) 190 , e ) 220", - "Correct": "b", - "Explanation": "\"final number = initial number + 40 % ( original number ) = 150 + 40 % ( 150 ) = 150 + 60 = 210 . answer b\"" - }, - { - "Answer": 25, - "Options": "a ) 25 % , b ) 50 % , c ) 75 % , d ) 85 % , e ) 95 %", - "Correct": "a", - "Explanation": "salary he get after reduced 20 % = 100 - 20 % = 80 % so , percentage should be added to get back his salary = ( 20 / 80 ) * 100 = 25 % answer : a" - }, - { - "Answer": 67.4715909090909, - "Options": "a ) 72.5 , b ) 55.5 , c ) 67.5 , d ) 82.5 , e ) 60.5", - "Correct": "c", - "Explanation": "\"c $ 62.50 cp = 47.50 sp = 47.50 * ( 125 / 100 ) = 59.375 mp * ( 88 / 100 ) = 59.375 mp = 67.5 c\"" - }, - { - "Answer": 4000, - "Options": "a ) a ) 1500 , b ) b ) 2000 , c ) c ) 2500 , d ) d ) 3000 , e ) e ) 4000", - "Correct": "e", - "Explanation": "\"let the number of meters to be examined be x then , 0.05 % of x = 2 ( 5 / 100 ) * ( ( 1 / 100 ) * x = 2 x = 4000 answer is e\"" - }, - { - "Answer": 6300, - "Options": "a ) 1344 , b ) 6300 , c ) 8400 , d ) 50400 , e ) 67200", - "Correct": "b", - "Explanation": "\"8 machines produce 560 in 1 min 8 machines produce 560 * 6 in 6 min 15 machine produce 560 * 6 * ( 15 / 8 ) in 6 minutes 560 * 6 * 15 / 8 = 6300 answer is b .\"" - }, - { - "Answer": 6.249999999999992, - "Options": "a ) 20 % loss , b ) 6.25 % profit , c ) 33.33 % loss , d ) 30.33 % loss , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : let cost price of 1 article be re . 1 . therefore , cost price of 17 articles = rs . 17 . selling price of 16 articles = rs . 17 therefore , selling price of 17 articles is : - = > 17 / 16 \u00e3 \u2014 17 = > 18.06 therefore , profit = selling price - cost price . = > 18.06 \u00e2 \u02c6 \u2019 17 = 1.06 hence , the percentage of profit = profit x 100 / c . p . = > 1.06 / 17 \u00e3 \u2014 100 . = > 6.25 % profit . answer : b\"" - }, - { - "Answer": 0.968421052631579, - "Options": "a ) 62 / 95 , b ) 52 / 95 , c ) 92 / 95 , d ) 42 / 95 , e ) 32 / 95", - "Correct": "c", - "Explanation": "\"16 students are interested , 4 are not interested prob = 1 - 4 c 2 / 20 c 2 = 1 - ( 4 * 3 / ( 20 * 19 ) ) = 1 - 3 / 95 = 92 / 95 answer : c\"" - }, - { - "Answer": 119.99999999999999, - "Options": "a ) 100 marks , b ) 200 marks , c ) 280 marks , d ) 371 marks , e ) 120 marks", - "Correct": "e", - "Explanation": "\"30 % - - - - - - - - - - - - 30 45 % - - - - - - - - - - - - 15 - - - - - - - - - - - - - - - - - - - - - - 15 % - - - - - - - - - - - - - 45 30 % - - - - - - - - - - - - - - ? 90 + 30 = 120 marks answer : e\"" - }, - { - "Answer": 4265.73, - "Options": "a ) 2828 , b ) 2338 , c ) 377 , d ) 4266 , e ) 288", - "Correct": "d", - "Explanation": "\"ci = 14800 { [ 1 + 13.5 / 100 ] 2 - 1 } = 14800 { [ 1 + 27 / 200 ] 2 - 1 = 14800 { 2 + 27 / 200 } { 27 / 200 } = ( 74 ) [ 2 + 27 / 200 ] ( 27 ) = 1998 [ 2 + 27 / 200 ] = 3996 + 269.73 = rs . 4266 . answer : d\"" - }, - { - "Answer": 8820, - "Options": "a ) s . 9621 , b ) s . 6921 , c ) s . 8820 , d ) s . 6261 , e ) s . 6361", - "Correct": "c", - "Explanation": "\"c . i = p ( 1 + r / 100 ) ^ n = 8000 ( 1 + 5 / 100 ) ^ 2 = rs 8820 answer : c\"" - }, - { - "Answer": 81, - "Options": "a ) 72 % , b ) 81 % , c ) 52 % , d ) 50 % , e ) 28 %", - "Correct": "b", - "Explanation": "\"just assume original price is 100 . sale price = 90 then it is marked down by 10 % = 90 - 9 = 81 . hence it is 81 % od the original price . hence answer is b .\"" - }, - { - "Answer": 9.999999999999998, - "Options": "a ) 4 % , b ) 6 % , c ) 8 % , d ) 10 % , e ) 12 %", - "Correct": "d", - "Explanation": "let x be the number of cars and let y be the number of cars parked illegally . 2 % * x = 20 % * y y / x = 1 / 10 = 10 % the answer is d ." - }, - { - "Answer": 9.219999999999995, - "Options": "a ) 13 % , b ) 9.22 % , c ) 9 % , d ) 14 % , e ) 12 %", - "Correct": "b", - "Explanation": "\"( 100 % - 11 % ) * ( 100 % + 2 % ) = 0.89 * 1.02 = 9.22 % the weigh in records your weight loss at 9.22 % ! the answer is b\"" - }, - { - "Answer": 599.9999999999999, - "Options": "a ) 8867 , b ) 299 , c ) 279 , d ) 600 , e ) 2612", - "Correct": "d", - "Explanation": "\"ratio of investments of a , b and c is 8000 : 10000 : 12000 = 4 : 5 : 6 and also given that , profit share of b is rs . 1500 = > 5 parts out of 15 parts is rs . 1500 now , required difference is 6 - 4 = 2 parts required difference = 2 / 5 ( 1500 ) = rs . 600 . answer : d\"" - }, - { - "Answer": 4, - "Options": "a ) 4 liters , b ) 10 liters , c ) 15 liters , d ) 8 liters , e ) 6 liters", - "Correct": "a", - "Explanation": "\"required answer is = 12 ( 60 - 40 ) / 60 = 4 liters answer is a\"" - }, - { - "Answer": 60, - "Options": "a ) 26.5 % , b ) 50 % , c ) 46.5 % , d ) 56.5 % , e ) 60 %", - "Correct": "e", - "Explanation": "\"let n be the total number of books sold . hence n = 50 + 82 + 64 + 78 + 135 = 280 let m be the books not sold m = 700 - n = 700 - 280 = 420 percentage books not sold / total number of books = 420 / 700 = 0.60 = 60 % correct answer e\"" - }, - { - "Answer": 4.222222222222222, - "Options": "a ) $ 11 , b ) $ 5 , c ) $ 45 , d ) $ 400 , e ) $ 4.2", - "Correct": "e", - "Explanation": "\"price decreased by 10 % , so 9 / 10 times , which means that original gallons bought increased 10 / 9 times . since this increase equals to 5 gallons then 45 gallons were bought originally ( 45 * 10 / 9 = 50 - - > increase 5 gallons ) . hence original price was 190 / 45 = $ 4.2 answer : e .\"" - }, - { - "Answer": 380800, - "Options": "a ) 355600 , b ) 380800 , c ) 356500 , d ) 356800 , e ) 357000", - "Correct": "b", - "Explanation": "\"total number of invalid votes = 15 % of 560000 = 15 / 100 \u00d7 560000 = 8400000 / 100 = 84000 total number of valid votes 560000 \u2013 84000 = 476000 percentage of votes polled in favour of candidate a = 80 % therefore , the number of valid votes polled in favour of candidate a = 80 % of 476000 = 80 / 100 \u00d7 476000 = 38080000 / 100 = 380800 b )\"" - }, - { - "Answer": 1180, - "Options": "a ) 180 , b ) 1180 , c ) 280 , d ) 580 , e ) 2080", - "Correct": "b", - "Explanation": "\"amount earned using her cell phone = 60 * 13 = 780 earned for remaining surveys = 40 * 10 = 400 total earning = 1180 answer : b\"" - }, - { - "Answer": 125, - "Options": "a ) s . 50 , b ) s . 70 , c ) s . 100 , d ) s . 125 , e ) s . 60", - "Correct": "d", - "Explanation": "\"explanation : 25 % of 500 = > 25 / 100 * 500 = rs . 125 answer : d\"" - }, - { - "Answer": 56.86274509803921, - "Options": "a ) 32.5 , b ) 35 , c ) 48 , d ) 56.8 , e ) 67.5", - "Correct": "d", - "Explanation": "\"1 ) let the price of jacket initially be $ 100 . 2 ) then it is decreased by 25 % , therefore bringing down the price to $ 75 . 3 ) again it is further discounted by 10 % , therefore bringing down the price to $ 63.75 . 4 ) now 63.75 has to be added byx % in order to equal the original price . 63.75 + ( x % ) 63.75 = 100 . solving this eq for x , we get x = 56.8 ans is d .\"" - }, - { - "Answer": 4096, - "Options": "a ) 288 , b ) 267 , c ) 200 , d ) 4096 , e ) 2771", - "Correct": "d", - "Explanation": "\"principal = [ 4913 / ( 1 + 25 / ( 4 * 100 ) ) 3 ] = 4913 * 16 / 17 * 16 / 17 * 16 / 17 = rs . 4096 . answer : d\"" - }, - { - "Answer": 4.545454545454546, - "Options": "a ) 6.54 % , b ) 4.54 % , c ) 8 . 2 % , d ) 4.94 % , e ) 5.54 %", - "Correct": "b", - "Explanation": "\"let sum = x . then , s . i . = x . rate = ( 100 * s . i . ) / ( p * t ) = ( 100 * x ) / ( x * 22 ) = 100 / 22 = 4.54 % answer : b\"" - }, - { - "Answer": 40.90909090909091, - "Options": "a ) 38 , b ) 39 , c ) 40 , d ) 41 , e ) 42", - "Correct": "d", - "Explanation": "\"1.10 x = 45 - - > 11 / 10 * x = 45 - - > x = 45 * 10 / 11 = 450 / 11 = ~ 41 . answer : d .\"" - }, - { - "Answer": 128, - "Options": "a ) 80 % , b ) 105 % , c ) 120 % , d ) 124.2 % , e ) 128 %", - "Correct": "e", - "Explanation": "\"0,128 r = x / 100 * 0.1 r answer e\"" - }, - { - "Answer": 75, - "Options": "a ) s . 50 , b ) s . 70 , c ) s . 100 , d ) s . 80 , e ) s . 75", - "Correct": "e", - "Explanation": "\"explanation : 25 % of 300 = > 25 / 100 * 300 = rs . 75 answer : e\"" - }, - { - "Answer": 6, - "Options": "a ) 1 , b ) 3 , c ) 6 , d ) 7 , e ) 10", - "Correct": "c", - "Explanation": "\"c 50 * ( 50 / 100 ) = 25 - - - 50 ? - - - 12 = > rs . 6\"" - }, - { - "Answer": 70, - "Options": "a ) 20 % , b ) 42 % , c ) 44 % , d ) 70 % , e ) 84 %", - "Correct": "d", - "Explanation": "\"let ' s assume there are 100 reporters - - > 18 reporters cover local politics . now , as 40 % of the reporters who cover all politics do not cover local politics then the rest 60 % of the reporters who cover politics do cover local politics , so if there are x reporters who cover politics then 60 % of them equal to 18 ( # of reporters who cover local politics ) : 0.6 x = 18 - - > x = 30 , hence 30 reporters cover politics and the rest 100 - 30 = 70 reporters do not cover politics at all . answer : d .\"" - }, - { - "Answer": 788.1250000000009, - "Options": "a ) rs . 473 , b ) rs . 374 , c ) rs . 495 , d ) rs . 788 , e ) none of the above", - "Correct": "d", - "Explanation": "\"10 % interest per annum will be 5 % interest half yearly for 3 terms ( 1 1 / 2 years ) so compound interest = 5000 [ 1 + ( 5 / 100 ) ] ^ 3 - 5000 = 5000 [ ( 21 / 20 ) ^ 3 - 1 ] = 5000 ( 9261 - 8000 ) / 8000 = 5 * 1261 / 8 = 788 answer : d\"" - }, - { - "Answer": 24.637681159420293, - "Options": "a ) 20.8 , b ) 24.6 , c ) 31.8 , d ) 32.5 , e ) 33.8", - "Correct": "b", - "Explanation": "\"$ 69 - $ 52 = 17 $ ( 17 / 69 ) * 100 = 24.6 % answer : b\"" - }, - { - "Answer": 13000, - "Options": "a ) $ 13300 , b ) $ 13000 , c ) $ 12900 , d ) $ 10000 , e ) $ 9000", - "Correct": "b", - "Explanation": "let x be the income over 3000 then ( x - x / 10 ) + 3000 = 12000 = > x = 10000 therefore income before taxes = 10000 + 3000 = 13000 option ( b )" - }, - { - "Answer": 8820, - "Options": "a ) 3200.0 , b ) 11520.0 , c ) 8820.0 , d ) 7354.0 , e ) 16537.11", - "Correct": "c", - "Explanation": "\"p = rs . 8000 ; r = 10 % p . a . = 5 % per half - year ; t = 1 year = 2 half - year amount = [ 8000 * ( 1 + 5 / 100 ) 2 ] = ( 8000 * 21 / 20 * 21 / 20 ) = rs . 8820.00 answer : c\"" - }, - { - "Answer": 13, - "Options": "a ) 19 , b ) 17 , c ) 13 , d ) 10 , e ) 12", - "Correct": "c", - "Explanation": "\"7 * 5 : 5 * x = 7 : 13 x = 13 answer : c\"" - }, - { - "Answer": 175, - "Options": "a ) 175 , b ) 280 , c ) 189 , d ) 278 , e ) 268", - "Correct": "a", - "Explanation": "\"x * ( 85 / 100 ) = ( 300 - x ) 119 / 100 x = 175 answer : a\"" - }, - { - "Answer": 12.5, - "Options": "a ) 24 % , b ) 12.5 % , c ) 30 % , d ) 36 % , e ) 40 %", - "Correct": "b", - "Explanation": "\"100 / ( 900 - 100 ) = 100 / 800 = 0.125 = 12.5 % . answer : b\"" - }, - { - "Answer": 60.00000000000001, - "Options": "a ) 20 , b ) 30 , c ) 35 , d ) 40 , e ) 60", - "Correct": "e", - "Explanation": "\"the total number of books is 75 . let x be the number of books which were loaned out . 65 % of books that were loaned out are returned . 35 % of books that were loaned out are not returned . now , there are 54 books , thus the number of un - returned books is 75 - 54 = 21 books . 0.35 x = 21 x = 60 the answer is e .\"" - }, - { - "Answer": 80.00000000000003, - "Options": "a ) 15 % , b ) 32 % , c ) 40 % , d ) 62 % , e ) 80 %", - "Correct": "e", - "Explanation": "\"assume 100 in march , then 150 in april as 50 % increase , then 120 in may as 20 % decrease from april , and then 180 in june which is 150 % of 120 . so overall increase is from 100 to 180 is 80 % answer e\"" - }, - { - "Answer": 4860, - "Options": "a ) 5363 , b ) 6240 , c ) 4860 , d ) 1987 , e ) 2732", - "Correct": "c", - "Explanation": "\"to obtain rs . 10 , investment = rs . 108 . to obtain rs . 450 , investment = = rs . 4860 . answer : c\"" - }, - { - "Answer": 0.3333333333333333, - "Options": "a ) 1 / 5 , b ) 1 / 3 , c ) 2 / 5 , d ) 1 / 2 , e ) 2 / 3", - "Correct": "b", - "Explanation": "\"let weight of jar filled with beans = 100 g weight of jar = 40 g weight of coffee beans = 60 g weight of jar and remaining beans = 60 g weight of remaining beans = 20 g fraction remaining = 20 / 60 = 1 / 3 answer is b .\"" - }, - { - "Answer": 1000, - "Options": "a ) 90 , b ) 180 , c ) 270 , d ) 500 , e ) 1,000", - "Correct": "e", - "Explanation": "\"let total number of female officers in the police force = f total number of officers on duty on that night = 200 number of female officers on duty on that night = 200 / 2 = 100 ( 10 / 100 ) * f = 100 = > f = 1000 answer e\"" - }, - { - "Answer": 65, - "Options": "a ) 45 % , b ) 50 % , c ) 55 % , d ) 60 % , e ) 65 %", - "Correct": "e", - "Explanation": "\"the percent of employees who are unionized and men is 0.7 * 0.6 = 42 % the percent of employees who are unionized and women is 60 - 42 = 18 % 44 % of all employees are women , so non - union women are 44 % - 18 % = 26 % 40 % of all employees are non - union . the percent of non - union employees who are women is 26 % / 40 % = 65 % the answer is e .\"" - }, - { - "Answer": 39.285714285714285, - "Options": "a ) 36 % , b ) 38 % , c ) 16 % , d ) 39 % , e ) 12 %", - "Correct": "d", - "Explanation": "560 - - - - 220 100 - - - - ? = > 39 % answer : d" - }, - { - "Answer": 1400, - "Options": "a ) rs . 950 , b ) rs . 1500 , c ) rs . 1000 , d ) rs . 1400 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : sp of 1 metre cloth = 8200 / 40 = rs . 205 . cp of 1 metre cloth = rs . 205 \u2013 35 = rs . 170 cp on 40 metres = 170 x 40 = rs . 6800 profit earned on 40 metres cloth = rs . 8200 \u2013 rs . 6800 = rs . 1400 . answer : option d\"" - }, - { - "Answer": 144, - "Options": "a ) 187 , b ) 124 , c ) 172 , d ) 144 , e ) 175", - "Correct": "d", - "Explanation": "\"200 * ( 80 / 100 ) * ( 90 / 100 ) = 144 answer : d\"" - }, - { - "Answer": 246, - "Options": "a ) s 222 , b ) s 246 , c ) s 220 , d ) s 210 , e ) s 217", - "Correct": "b", - "Explanation": "\"explanation : total cost of a watch = 200 + ( 500 / 100 ) = 205 . gain = 20 % = > sp = 1.2 cp = 1.2 x 205 = 246 answer : b\"" - }, - { - "Answer": 824.3215999999993, - "Options": "a ) 824 , b ) 824.36 , c ) 824.32 , d ) 824.24 , e ) 824.26", - "Correct": "c", - "Explanation": "\"principal = $ 10000 ; rate = 2 % per half - year ; time = 2 years = 4 half - years . amount = $ [ 10000 * ( 1 + ( 2 / 100 ) ) 4 ] = $ ( 10000 * ( 51 / 50 ) * ( 51 / 50 ) * ( 51 / 50 ) * ( 51 / 50 ) ) = $ 10824.32 . : . c . i . = $ ( 10824.32 - 10000 ) = $ 824.32 . answer c .\"" - }, - { - "Answer": 30, - "Options": "a ) 25 , b ) 15 , c ) 30 , d ) 45 , e ) 20", - "Correct": "c", - "Explanation": "\"let the original quantity be x then , vanaspati ghee in xkg = 50 x / 100 kg = x / 2 kg ( x / 2 ) / ( x + 20 ) = 30 / 100 x / ( 2 x + 40 ) = 3 / 10 x = 30 answer is c\"" - }, - { - "Answer": 50, - "Options": "a ) 52.5 , b ) 50 , c ) 62.3 , d ) 62.1 , e ) 62.4", - "Correct": "b", - "Explanation": "\"cp = 38 sp = 38 * ( 125 / 100 ) = 38 mp * ( 95 / 100 ) = 47.5 mp = 50 answer : b\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 20 % , b ) 25 % , c ) 18 % , d ) 33 1 / 3 % , e ) none of these", - "Correct": "d", - "Explanation": "\"here , l = 6 and m = 18 therefore , first number = l / m x 100 % of second number = 6 / 18 x 100 % of second number = 33 1 / 3 % of second number answer : d\"" - }, - { - "Answer": 80, - "Options": "a ) rs . 125 , b ) rs . 80 , c ) rs . 99 , d ) rs . 109 , e ) rs . 101", - "Correct": "b", - "Explanation": "\"for an income of rs . 5 , investment = rs . 100 for an income of rs . 4 , investment = rs . ( 100 / 5 ) x 4 = rs . 80 answer : b\"" - }, - { - "Answer": 17.446043165467625, - "Options": "a ) 16.8 % , b ) 17.4 % , c ) 17.9 % , d ) 18.5 % , e ) 19.1 %", - "Correct": "b", - "Explanation": "\"given : selling price of an apple = 23 - - > cost price = 23 / 1.15 = 20 selling price of an orange = 10 - - > cost price = 10 / 1.25 = 8 a > o 23 * ( a ) + 10 * ( o ) = 653 653 - 23 * ( a ) has to be divisible by 10 - - > units digit has to be 0 values of a can be 1 , 11 , 21 , 31 , . . . . - - > 1 can not be the value between 11 and 21 , if a = 11 , o = 30 - - > not possible if a = 21 , o = 17 - - > possible cost price = 20 * 21 + 8 * 17 = 420 + 136 = 556 profit = 653 - 556 = 97 profit % c = ( 97 / 556 ) * 100 = 17.4 % answer : b\"" - }, - { - "Answer": 63.45454545454545, - "Options": "a ) 50.4 % , b ) 63.4 % , c ) 66.5 % , d ) 34.9 % , e ) 43.5 %", - "Correct": "b", - "Explanation": "\"let n be the total number of books sold . hence n = 75 + 50 + 64 + 78 + 135 = 402 let m be the books not sold m = 1100 - n = 1100 - 402 = 698 percentage books not sold / total number of books = 698 / 1100 = 0.634 = 63.4 % correct answer b\"" - }, - { - "Answer": 1064, - "Options": "a ) rs . 1020.80 , b ) rs . 1025 , c ) rs . 1064 , d ) data inadequate , e ) none of these", - "Correct": "c", - "Explanation": "\"solution s . i . = rs . ( 956 - 900 ) = rs . 56 rate = ( 100 x 56 / 900 x 3 ) = 56 / 27 % new rate = ( 56 / 27 + 4 ) % = 164 / 27 % new s . i . = rs . ( 900 x 164 / 27 x 3 / 100 ) rs . 164 . \u2234 new amount = rs . ( 900 + 164 ) = rs . 1064 . answer c\"" - }, - { - "Answer": 5040, - "Options": "a ) 1344 , b ) 3360 , c ) 8400 , d ) 5040 , e ) 67200", - "Correct": "d", - "Explanation": "\"8 machines produce 560 in 1 min 8 machines produce 560 * 6 in 6 min 12 machine produce 560 * 6 * ( 12 / 8 ) in 6 minutes 560 * 6 * 12 / 8 = 5040 answer is d .\"" - }, - { - "Answer": 2.5, - "Options": "a ) 2 kg , b ) 2.4 kg , c ) 2.5 kg , d ) 10 kg , e ) none of these", - "Correct": "c", - "Explanation": "\"the weight of non - water in 20 kg of fresh grapes ( which is 100 - 90 = 10 % of whole weight ) will be the same as the weight of non - water in x kg of dried grapes ( which is 100 - 20 = 80 % of whole weight ) , so 20 \u2217 0.1 = x \u2217 0.8 - - > x = 2.5 answer : c .\"" - }, - { - "Answer": 8160, - "Options": "a ) 5363 , b ) 8160 , c ) 2368 , d ) 1987 , e ) 2732", - "Correct": "b", - "Explanation": "\"to obtain rs . 10 , investment = rs . 120 . to obtain rs . 680 , investment = = rs . 8160 . answer : b\"" - }, - { - "Answer": 1.2000000000000233, - "Options": "a ) 0.2 % , b ) 0.8 % , c ) 1.2 % , d ) 1.6 % , e ) 2 %", - "Correct": "c", - "Explanation": "( 100 % - 8 % ) * ( 100 % + 10 % ) = 0.92 * 1.10 = 1.012 = 101.2 % . the net percentage change in the price of the stock is ( + ) 1.2 % the answer is c" - }, - { - "Answer": 11, - "Options": "a ) 12 , b ) 14 , c ) 7 , d ) 11 , e ) 10", - "Correct": "d", - "Explanation": "\"99 % - - - - 16 144 % - - - - ? 99 / 144 * 16 = 11 answer : d\"" - }, - { - "Answer": 2600, - "Options": "a ) 648 , b ) 1800 , c ) 2600 , d ) 10800 , e ) 10900", - "Correct": "c", - "Explanation": "\"let the required number of bottles be x . more machines , more bottles ( direct proportion ) more minutes , more bottles ( direct proportion ) machines 6 : 10 : : 390 : x time ( in minutes ) 1 : 4 6 x 1 x x = 10 x 4 x 390 x = ( 10 x 4 x 390 ) / ( 6 ) x = 2600 . answer : c\"" - }, - { - "Answer": 4000, - "Options": "a ) 8000 , b ) 6000 , c ) 5000 , d ) 4000 , e ) 3000", - "Correct": "d", - "Explanation": "\"simple way to solve this question is to use options . from si , we know that x * y = 20,000 . now , put the value of x = 4000 , we will have y = 5 % to calculate ci , now , we know 1 st year amount = 4000 + 5 % of 4000 = 4200 . 2 nd year , amount = 4200 + 5 % of 4200 = 4410 . we can see after 2 years interest = 4410 - 4000 = 410 . hence , it satisfies the question . hence d is the correct answer\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 24 % , b ) 25.5 % , c ) 33.33 % , d ) 36.3 % , e ) 40 %", - "Correct": "c", - "Explanation": "\"225 / ( 900 - 225 ) = 33.33 % . answer : c\"" - }, - { - "Answer": 3.75, - "Options": "a ) 3.75 liters . , b ) 2.5 liters . , c ) 8.5 liters . , d ) 2.6 liters . , e ) 2.1 liters .", - "Correct": "a", - "Explanation": "\"answer : explanation : in each of the solutions , there is a pure tomato component and some water . so while boiling , water evaporates but tomato not . so we equate tomato part in the both equations . \u00e2 \u2021 \u2019 \u00e2 \u2021 \u2019 10 % ( 30 ) = 80 % ( x ) \u00e2 \u2021 \u2019 \u00e2 \u2021 \u2019 x = 3.75 liters . answer : a\"" - }, - { - "Answer": 40, - "Options": "a ) 16.67 , b ) 40 , c ) 50 , d ) 60.33 , e ) 70", - "Correct": "b", - "Explanation": "\"let x = ounces of 60 % salt solution to be added . 2 * 40 + . 6 x = . 4 ( 40 + x ) x = 40 amswer b\"" - }, - { - "Answer": 8.695652173913043, - "Options": "a ) 22 , b ) 65 , c ) 78 , d ) 33 , e ) 8.69", - "Correct": "e", - "Explanation": "given that , cost price of 50 article is equal to selling price of 46 articles . let cost price of one article = rs . 1 selling price of 46 articles = rs . 50 but cost price of 46 articles = rs . 46 therefore , the trader made profit . \\ percentage of profit = 4 / 46 * 100 = 8.69 % answer : e" - }, - { - "Answer": 20000, - "Options": "a ) 20000 , b ) 25000 , c ) 24000 , d ) 23000 , e ) 22000", - "Correct": "a", - "Explanation": "\"winner - looser 55 % - 45 % if 2000 people change their mind and vote for the loser : winner - looser 45 % - 55 % thus 2,000 people compose 10 % of all voters , which means that the total number of votes is 20,000 . answer : a .\"" - }, - { - "Answer": 985, - "Options": "a ) a ) 985 , b ) b ) 1050 , c ) c ) 1055 , d ) d ) 1065 , e ) e ) 1075", - "Correct": "a", - "Explanation": "cost of 7 kg grapes = 70 \u00d7 7 = 490 . cost of 9 kg of mangoes = 55 \u00d7 9 = 495 . total cost he has to pay = 490 + 495 = 985 a" - }, - { - "Answer": 799.9999999999998, - "Options": "a ) 621 , b ) 276 , c ) 236 , d ) 800 , e ) 211", - "Correct": "d", - "Explanation": "\"explanation : ratio of investments of a , b and c is 8000 : 10000 : 12000 = 4 : 5 : 6 and also given that , profit share of b is rs . 2000 = > 5 parts out of 15 parts is rs . 2000 now , required difference is 6 - 4 = 2 parts required difference = 2 / 5 ( 2000 ) = rs . 800 answer : d\"" - }, - { - "Answer": 4.999999999999982, - "Options": "a ) \u2212 5 % , b ) 5 % , c ) 15 % , d ) 20 % , e ) 80 %", - "Correct": "b", - "Explanation": "\"assume the broker invested $ 100 . after year 1 ( 50 % increase in wealth ) : $ 100 * 0.5 = $ 50 increase + $ 100 = $ 150 after year 2 ( 30 % decrease in wealth ) : $ 150 * 0.3 = $ 45 ; $ 150 - $ 45 decrease = $ 105 net increase = $ 105 / $ 100 - 1 = 5 % answer is b .\"" - }, - { - "Answer": 975, - "Options": "a ) 500 , b ) 550 , c ) 600 , d ) 700 , e ) 975", - "Correct": "e", - "Explanation": "\"sp * ( 80 / 100 ) = 780 sp = 9.75 * 100 = > cp = 975 answer : e\"" - }, - { - "Answer": 500, - "Options": "a ) $ 410 , b ) $ 500 , c ) $ 650 , d ) $ 710 , e ) $ 1000", - "Correct": "b", - "Explanation": "\"p = $ 10000 r = 5 % t = 12 / 12 years = 1 year s . i . = p * r * t / 100 = 10000 * 5 * 1 / 100 = $ 500 answer is b\"" - }, - { - "Answer": 50, - "Options": "a ) 20 % , b ) 25 % , c ) 18 % , d ) 50 % , e ) none of these", - "Correct": "d", - "Explanation": "\"here , l = 8 and m = 16 therefore , first number = l / m x 100 % of second number = 8 / 16 x 100 % of second number = 50 % of second number answer : d\"" - }, - { - "Answer": 3, - "Options": "a ) $ 5 , b ) $ 8 , c ) $ 9 , d ) $ 3 , e ) $ 7", - "Correct": "d", - "Explanation": "\"s . i = $ [ ( 1200 * 10 * 1 ) / 100 ] = $ 120 . c . i = $ [ 1200 * ( 1 + ( 5 / 100 ) ^ 2 ) - 1200 ] = $ 123 . difference = $ ( 123 - 120 ) = $ 3 . answer ( d )\"" - }, - { - "Answer": 8, - "Options": "a ) 7 , b ) 8 , c ) 8.5 , d ) 9 , e ) 9.5", - "Correct": "b", - "Explanation": "rate reduced by 6.25 % , so amount rs 120 reduced by = ( 6.25 / 100 ) * 120 = 7.5 so in rs 7.5 extra sugar obtained is 1 kg i . e . new rate is rs . 7.5 per kg thus original rate = [ 7.5 / ( 100 \u2013 6.25 ) ] / 100 = 7.5 / 0.9375 = rs . 8 answer : option b" - }, - { - "Answer": 672, - "Options": "a ) 690 , b ) 674 , c ) 672 , d ) 960 , e ) none", - "Correct": "c", - "Explanation": "\"solution : total employees , = 1600 female employees , 60 % of 1600 . = ( 60 * 1600 ) / 100 = 960 . then male employees , = 640 50 % of male are computer literate , = 320 male computer literate . 62 % of total employees are computer literate , = ( 62 * 1600 ) / 100 = 992 computer literate . thus , female computer literate = 992 - 320 = 672 . answer : option c\"" - }, - { - "Answer": 700, - "Options": "a ) 500 , b ) 550 , c ) 600 , d ) 700 , e ) 750", - "Correct": "d", - "Explanation": "\"sp * ( 80 / 100 ) = 560 sp = 70 * 100 = > cp = 700 answer : d\"" - }, - { - "Answer": 2500, - "Options": "a ) $ 1200 , b ) $ 1850 , c ) $ 2010 , d ) $ 3200 , e ) $ 2500", - "Correct": "e", - "Explanation": "present worth = 3600 / ( 1 + 20 / 100 ) ^ 2 = 3600 * 5 / 6 * 5 / 6 = $ 2500 answer is e" - }, - { - "Answer": 1100, - "Options": "a ) a ) 1055 , b ) b ) 1075 , c ) c ) 1065 , d ) d ) 1070 , e ) e ) 1100", - "Correct": "e", - "Explanation": "cost of 8 kg grapes = 70 \u00d7 8 = 560 . cost of 9 kg of mangoes = 60 \u00d7 9 = 540 . total cost he has to pay = 560 + 540 = 1100 . e )" - }, - { - "Answer": 64.10000000000036, - "Options": "a ) rs . 31 , b ) rs . 32.10 , c ) rs . 40.40 , d ) rs . 64.10 , e ) rs . 74.10", - "Correct": "d", - "Explanation": "\"s . i . = ( 1000 * 10 * 4 ) / 100 = rs . 400 c . i . = [ 1000 * ( 1 + 10 / 100 ) 4 - 1000 ] = rs . 464.10 difference = ( 464.10 - 400 ) = rs . 64.10 answer : d\"" - }, - { - "Answer": 1000, - "Options": "a ) s . 750 , b ) s . 900 , c ) s . 1000 , d ) s . 1200 , e ) s . 1500", - "Correct": "c", - "Explanation": "\"explanation : let the sub be rs . x and the initial rate be r % . then x \u00e3 \u2014 ( r + 3 ) \u00e3 \u2014 3 / 100 \u00e2 \u02c6 \u2019 x \u00e3 \u2014 r \u00e3 \u2014 3 / 100 = 90 \u00e2 \u2021 \u2019 x \u00e3 \u2014 3 \u00e3 \u2014 3 / 100 = 90 \u00e2 \u2021 \u2019 x \u00e3 \u2014 3 / 100 = 30 \u00e2 \u2021 \u2019 3 x = 3000 \u00e2 \u2021 \u2019 x = 1000 answer : option c\"" - }, - { - "Answer": 9.230769230769232, - "Options": "a ) 3.33 % , b ) 5.93 % , c ) 4.33 % , d ) 5.33 % , e ) 9.23 %", - "Correct": "e", - "Explanation": "\"300 = ( 650 * 5 * r ) / 100 r = 9.23 % answer : e\"" - }, - { - "Answer": 800, - "Options": "a ) s . 1200 , b ) s . 800 , c ) s . 1400 , d ) s . 1000 , e ) s . 920", - "Correct": "b", - "Explanation": "\"at 5 % more rate , the increase in s . i for 10 years = rs . 400 ( given ) so , at 5 % more rate , the increase in si for 1 year = 400 / 10 = rs . 40 / - i . e . rs . 40 is 5 % of the invested sum so , 1 % of the invested sum = 40 / 5 therefore , the invested sum = 40 \u00d7 100 / 5 = rs . 800 answer : b\"" - }, - { - "Answer": 45000, - "Options": "a ) 30000 , b ) 50000 , c ) 45000 , d ) 20000 , e ) 60000", - "Correct": "c", - "Explanation": "\"let the amount invested by q = q 30000 : q = 2 : 3 \u21d2 30000 \u00d7 3 = 2 q \u21d2 q = ( 30000 \u00d7 3 ) / 2 = 45000 answer is c .\"" - }, - { - "Answer": 152, - "Options": "a ) 187 , b ) 169 , c ) 152 , d ) 178 , e ) 175", - "Correct": "c", - "Explanation": "\"200 * ( 80 / 100 ) * ( 95 / 100 ) = 152 answer : c\"" - }, - { - "Answer": 96, - "Options": "a ) 11 , b ) 92 , c ) 96 , d ) 174 , e ) 115", - "Correct": "c", - "Explanation": "\"let ' s take the approach that uses the answer choices to eliminate wasted time . 16 / 4 = 4 . 8 machines = 32 per minute . 3 minutes worth = 96 bottles . looking at the answers it is clear . . . we can only choose ( c ) the correct answer is c .\"" - }, - { - "Answer": 19.7, - "Options": "a ) 19 , b ) 19.7 , c ) 21.3 , d ) 21.5 , e ) 21.7", - "Correct": "b", - "Explanation": "\"total cost of the items he purchased = rs . 25 given that out of this rs . 25 , 30 $ is given as tax = > total tax incurred = 30 $ = rs . 30 / 100 let the cost of the tax free items = x given that tax rate = 6 % \u2234 ( 25 \u2212 30 / 100 \u2212 x ) 6 / 100 = 30 / 100 \u21d2 6 ( 25 \u2212 0.3 \u2212 x ) = 30 \u21d2 ( 25 \u2212 0.3 \u2212 x ) = 5 \u21d2 x = 25 \u2212 0.3 \u2212 5 = 19.7 b )\"" - }, - { - "Answer": 85.71428571428572, - "Options": "a ) 20 % , b ) 42 % , c ) 44 % , d ) 85 % , e ) 84 %", - "Correct": "d", - "Explanation": "\"you are correct . people who cover local politics are a subset of people who cover politics . 30 % of reporters who cover politics do not cover local politics so 70 % do cover local politics . reporters covering local politics = 70 % of reporters covering politics = 10 % of all reporters reporters covering politics / all reporters = 10 / 70 = 1 / 7 reporters not covering politics / all reporters = 6 / 7 = 85 % = d\"" - }, - { - "Answer": 2.272727272727273, - "Options": "a ) 6.54 % , b ) 4.54 % , c ) 8 . 2 % , d ) 4.94 % , e ) 2.27 %", - "Correct": "e", - "Explanation": "\"let sum = x . then , s . i . = x . rate = ( 100 * s . i . ) / ( p * t ) = ( 100 * x ) / ( x * 44 ) = 100 / 44 = 2.27 % answer : e\"" - }, - { - "Answer": 0.17, - "Options": "a ) 2 / 3 , b ) 0.17 , c ) 3 / 2 , d ) 0.71 , e ) none of them", - "Correct": "b", - "Explanation": "16 ( 2 / 3 ) % = [ ( 50 / 3 ) * ) 1 / 100 ) ] = 1 / 6 = 0.166 , 2 / 15 = 0.133 . clearly , 0.17 is the greatest . answer is b ." - }, - { - "Answer": 40, - "Options": "a ) 40 , b ) 30 , c ) 35 , d ) 25 , e ) 45", - "Correct": "a", - "Explanation": "for 30 hrs = 30 * 16 = 480 excess = 760 - 480 = 280 for extra hours = . 75 ( 16 ) = 12 in addition to $ 16 . thus , 12 + 16 = 28 number of extra hrs = 280 / 28 = 10 total hrs = 30 + 10 = 40 answer a 40" - }, - { - "Answer": 0.8181818181818182, - "Options": "a ) 5 / 11 , b ) 6 / 11 , c ) 7 / 11 , d ) 9 / 11 , e ) 13 / 6", - "Correct": "d", - "Explanation": "\"this is a weighted average question . say x % of the solution was replaced - - > equate the amount of chemicals : 0.85 ( 1 - x ) + 0.3 * x = 0.4 - - > x = 9 / 11 . answer : d .\"" - }, - { - "Answer": 52, - "Options": "a ) 17 % , b ) 62 % , c ) 52 % , d ) 19 % , e ) 22 %", - "Correct": "c", - "Explanation": "original price = 100 cp = 95 s = 95 * ( 160 / 100 ) = 152 100 - 152 = 52 % answer : c" - }, - { - "Answer": 425, - "Options": "a ) rs . 200 , b ) rs . 350 , c ) rs . 275 , d ) rs . 425 , e ) none of these", - "Correct": "d", - "Explanation": "\"average would be : 350 = ( 275 + x ) / 2 on solving , x = 425 . answer : d\"" - }, - { - "Answer": 55.2, - "Options": "a ) 30 % , b ) 55 % , c ) 90 % , d ) 100 % , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : let c . p . = rs . 100 . then , profit = rs . 150 , s . p . = rs . 250 . new c . p . = 112 % of rs . 100 = rs . 112 new s . p . = rs . 250 . profit = rs . ( 250 - 112 ) = rs . 138 . required percentage = ( 138 / 250 * 100 ) % = 55 % appox answer : b\"" - }, - { - "Answer": 226.74418604651163, - "Options": "a ) 182 , b ) 208 , c ) 227 , d ) 254 , e ) 302", - "Correct": "c", - "Explanation": "if x is the original number of faculty members , then after 14 % reduction in faculty members number is . 86 x but we are given . 86 x = 195 x = 227 so the original number of faculty members is 227 correct answer - c" - }, - { - "Answer": 192, - "Options": "a ) 140 , b ) 150 , c ) 180 , d ) 192 , e ) 250", - "Correct": "d", - "Explanation": "\"explanation : ( 1 / 4 ) * ( 1 / 3 ) * ( 2 / 5 ) * x = 16 then x = 16 * 30 = 480 40 % of 480 = 192 answer : option d\"" - }, - { - "Answer": 50, - "Options": "a ) $ 20 , b ) $ 43 , c ) $ 50 , d ) $ 70 , e ) $ 40", - "Correct": "c", - "Explanation": "\"c $ 50 sp per metre = 18000 / 400 = $ 45 loss per metre = $ 5 cp per metre = 45 + 5 = $ 50\"" - }, - { - "Answer": 2430, - "Options": "a ) 2660 , 1000 , b ) 3660 , 2000 , c ) 3000 , 4160 , d ) 2430 , 4050 , e ) 4660 , 3000", - "Correct": "d", - "Explanation": "\"let the numbers be x and y . then , 7.5 % of x = 12.5 % of y x = 125 * y / 75 = 5 * y / 3 . now , x - y = 1620 5 * y / 3 \u2013 y = 1620 2 * y / 3 = 1620 y = [ ( 1620 * 3 ) / 2 ] = 2430 . one number = 2430 , second number = 5 * y / 3 = 4050 . answer d .\"" - }, - { - "Answer": 200, - "Options": "a ) 500 , b ) 400 , c ) 200 , d ) 300 , e ) 100", - "Correct": "c", - "Explanation": "\"c 200 let c . p . be $ x . then , 5 % of x = 350 - 340 = 10 x / 20 = 10 = > x = 200\"" - }, - { - "Answer": 300, - "Options": "a ) 90 , b ) 100 , c ) 200 , d ) 300 , e ) 400", - "Correct": "d", - "Explanation": "\"difference in s . i . = p \u00d7 t / 100 ( r 1 \u2212 r 2 ) \u21d2 90 = p \u00d7 5 x 6 / 100 ( \u2235 r 1 - r 2 = 2 ) \u21d2 p = 90 \u00d7 100 / 5 x 6 = 300 answer d\"" - }, - { - "Answer": 2.0000000000000027, - "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", - "Correct": "a", - "Explanation": "\"machine b : takes x hours to produce 220 sprockets machine a : takes ( x + 10 ) hours to produce 220 sprockets machine b : in 1 hour , b makes 220 / x sprockets machine a : in 1 hour , a makes 220 / ( x + 10 ) sprockets equating : 1.1 ( 220 / ( x + 10 ) ) = 220 / x 242 / ( x + 10 ) = 220 / x 242 x = 220 x + 2200 22 x = 2200 x = 100 a makes 220 / ( 110 ) = 2 sprockets per hour answer : a\"" - }, - { - "Answer": 50, - "Options": "a ) 24 % , b ) 25 % , c ) 30 % , d ) 50 % , e ) 40 %", - "Correct": "d", - "Explanation": "\"300 / ( 900 - 300 ) = 50 % . answer : d\"" - }, - { - "Answer": 1704, - "Options": "a ) 1642 , b ) 1640 , c ) 1632 , d ) 2789 , e ) 1704", - "Correct": "e", - "Explanation": "\"( x * 8 * 3 ) / 100 = ( ( 2769 - x ) * 3 * 5 ) / 100 24 x / 100 = 41535 / 100 - 15 x / 100 39 x = 41535 = > x = 1065 second sum = 2769 \u2013 1065 = 1704 answer : e\"" - }, - { - "Answer": 25, - "Options": "a ) 22 % , b ) 23 % , c ) 24 % , d ) 25 % , e ) 34 %", - "Correct": "d", - "Explanation": "\"since 12 % of the customers who sample the candy are not caught , then 88 % of the customers who sample the candy are caught : { % of customers who sample candy } * 0.88 = 0.22 ; { % of customers who sample candy } = 0.25 . answer : d .\"" - }, - { - "Answer": 8, - "Options": "a ) 16 % , b ) 12 % , c ) 74 % , d ) 10 % , e ) 8 %", - "Correct": "e", - "Explanation": "\"let the rate be r % p . a . then , ( 5000 * r * 2 ) / 100 + ( 3000 * r * 4 ) / 100 = 1760 100 r + 120 r = 1760 r = 8 % answer : e\"" - }, - { - "Answer": 2150, - "Options": "a ) 1240 , b ) 1120 , c ) 1190 , d ) 2150 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : td = ( bg \u00d7 100 ) / tr = ( 900 \u00d7 100 ) / ( 6 \u00d7 12 ) = rs . 1250 bg = bd \u2013 td = > 900 = bd - 1250 = > bd = 2150 answer : option d\"" - }, - { - "Answer": 150, - "Options": "a ) 140 , b ) 120 , c ) 130 , d ) 110 , e ) 150", - "Correct": "e", - "Explanation": "\"let c . p . be $ 100 . then , s . p . = $ 142.50 let marked price be $ x . then , 95 / 100 x = 142.5 x = 14250 / 95 = $ 150 now , s . p . = $ 150 , c . p . = $ 100 profit % = 50 % . e\"" - }, - { - "Answer": 6.620000000000001, - "Options": "a ) 6.62 , b ) 66.2 , c ) 662 , d ) 0.662 , e ) 0.0662", - "Correct": "a", - "Explanation": "\"we assume that 1000 is 100 % assume ' x ' is value we looking for here , 1000 = 100 % and x % = 66.2 therefore , 100 / x = 1000 / 66.2 100 / x = 15.105 x = 6.62 a\"" - }, - { - "Answer": 60, - "Options": "a ) $ 100 , b ) $ 75 , c ) $ 20 , d ) $ 120 , e ) $ 60", - "Correct": "e", - "Explanation": "\"a : b = 150 * 12 : 200 * 6 a : b = 3 : 2 a ' s share = 100 * 3 / 5 = $ 60 answer is e\"" - }, - { - "Answer": 49, - "Options": "a ) 15 , b ) 37 , c ) 49 , d ) 110 , e ) 180", - "Correct": "c", - "Explanation": "1 centimeter represents 5 kilometers ( 35 / 7 ) x = 245 / 5 = 49 answer : c" - }, - { - "Answer": 226.74418604651163, - "Options": "a ) a ) 182 , b ) b ) 227 , c ) c ) 220 , d ) d ) 224 , e ) e ) 302", - "Correct": "b", - "Explanation": "\"if x is the original number of employees , then after 14 % reduction in employees number is . 86 x but we are given . 86 x = 195 x = 227 so the original number of employees is 227 correct answer - b\"" - }, - { - "Answer": 27, - "Options": "a ) 28 % , b ) 25 % , c ) 30 % , d ) 27 % , e ) 35 %", - "Correct": "d", - "Explanation": "let p be filled by 60 lts of 1 st liquid and 40 lts . of 2 nd liquid . amount of kerosene = ( 25 * 60 / 100 ) + ( 30 * 40 / 100 ) = 27 lts . % of kerosene = 27 % answer : d" - }, - { - "Answer": 945.7500000000009, - "Options": "a ) rs . 473 , b ) rs . 374 , c ) rs . 495 , d ) rs . 945 , e ) none of the above", - "Correct": "d", - "Explanation": "\"10 % interest per annum will be 5 % interest half yearly for 3 terms ( 1 1 / 2 years ) so compound interest = 6000 [ 1 + ( 5 / 100 ) ] ^ 3 - 6000 = 6000 [ ( 21 / 20 ) ^ 3 - 1 ] = 6000 ( 9261 - 8000 ) / 8000 = 6 * 1261 / 8 = 945 answer : d\"" - }, - { - "Answer": 714.2857142857143, - "Options": "a ) 714.28 , b ) 712 , c ) 714.88 , d ) 714.25 , e ) 714", - "Correct": "a", - "Explanation": "\"let weight of side of beef before processing = x ( 70 / 100 ) * x = 500 = > x = ( 500 * 100 ) / 70 = 714.28 answer a\"" - }, - { - "Answer": 1500, - "Options": "a ) 400 , b ) 1,500 , c ) 1,250 , d ) 2,500 , e ) 10,000", - "Correct": "b", - "Explanation": "\"this is a rather straight forward ratio problem . 1 . 60 fish tagged 2 . 2 out of the 50 fish caught were tagged thus 2 / 50 2 / 50 = 60 / x thus , x = 1500 think of the analogy : 2 fish is to 50 fish as 50 fish is to . . . ? you ' ve tagged 50 fish and you need to find what that comprises as a percentage of the total fish population - we have that information with the ratio of the second catch . b\"" - }, - { - "Answer": 7644, - "Options": "a ) 5568 , b ) 6369 , c ) 5460 , d ) 7644 , e ) 6734", - "Correct": "d", - "Explanation": "\"7000 * 104 / 100 * 105 / 100 = > 7644 answer : d\"" - }, - { - "Answer": 600.0000000000006, - "Options": "a ) 300 , b ) 400 , c ) 600 , d ) 500 , e ) none of these", - "Correct": "c", - "Explanation": "explanation : by the rule of alligation , we have profit % by selling 1 st part profit % by selling 2 nd part 8 18 net % profit 14 18 - 14 = 4 14 - 8 = 6 = > quantity of part 1 : quantity of part 2 = 4 : 6 = 2 : 3 total quantity is given as 1000 kg so quantity of part 2 ( quantity sold at 18 % profit ) = 1000 \u00d7 35 = 600 kg answer : option c" - }, - { - "Answer": 1000, - "Options": "a ) rs . 950 , b ) rs . 1500 , c ) rs . 1000 , d ) rs . 1200 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : sp of 1 metre cloth = 8200 / 40 = rs . 205 . cp of 1 metre cloth = rs . 205 \u2013 25 = rs . 180 cp on 40 metres = 180 x 40 = rs . 7200 profit earned on 40 metres cloth = rs . 8200 \u2013 rs . 7200 = rs . 1000 . answer : option c\"" - }, - { - "Answer": 150, - "Options": "a ) 627 , b ) 297 , c ) 127 , d ) 150 , e ) 181", - "Correct": "d", - "Explanation": "explanation : 125 % of 120 % of a = 225 125 / 100 * 120 / 100 * a = 225 a = 225 * 2 / 3 = 150 . answer : d" - }, - { - "Answer": 64.28571428571428, - "Options": "a ) 20 % , b ) 64.29 % , c ) 70 % , d ) 80 % , e ) 100 %", - "Correct": "b", - "Explanation": "we should be careful about what are we measuring % on / what is the base . . let the marked up price = 100 . . selling price = 100 - 50 % of 100 = 50 . . profit = 40 % . . therefore the wholesale purchase cost = x . . . . 1.4 x = 50 or x = 35.71 . . . marked price was 100 so . . . so answer is 64.29 % . . b" - }, - { - "Answer": 28.000000000000004, - "Options": "a ) 34 % , b ) 28 % , c ) 22 % , d ) 18 % , e ) 8.5 %", - "Correct": "b", - "Explanation": "\"instead of using complex calculations and remembering formulae , why dont u directly get to weighted average . 3 parts of 12 % + 1 part of x ( unknown ) % = 4 parts of 16 % = > x % = 64 % - 36 % = 28 % ans b it is .\"" - }, - { - "Answer": 20, - "Options": "a ) 18 , b ) 16 , c ) 15 , d ) 17 , e ) 20", - "Correct": "e", - "Explanation": "\"let ' s say 1 work is processing 60 gb of data . model x : 1 gb per min model y : 2 gb per min working together , 1 x and 1 y = 3 gb per min so , 20 times as many computers would work at 60 gb per min . so no . of x = 20 answer is e\"" - }, - { - "Answer": 88000, - "Options": "a ) 70000 , b ) 60000 , c ) 88000 , d ) 90000 , e ) 50000", - "Correct": "c", - "Explanation": "\"a : b : c = 5000 : 8000 : 9000 = 5 : 8 : 9 let total profit = p then p \u00e3 \u2014 9 / 22 = 36000 p = ( 36000 \u00e3 \u2014 22 ) / 9 = 88000 answer is c .\"" - }, - { - "Answer": 600, - "Options": "a ) rs . 500 , b ) rs . 600 , c ) rs . 650 , d ) rs . 720 , e ) none", - "Correct": "b", - "Explanation": "\"solution number of shares = ( 14400 / 120 ) = 120 . face value = rs . ( 100 x 120 ) = rs . 12000 . annual income = rs . ( 5 / 100 x 12000 ) = rs . 600 . answer b\"" - }, - { - "Answer": 1061, - "Options": "a ) rs . 1020.80 , b ) rs . 1025 , c ) rs . 1061 , d ) data inadequate , e ) none of these", - "Correct": "c", - "Explanation": "\"solution s . i . = rs . ( 956 - 875 ) = rs . 81 rate = ( 100 x 81 / 875 x 3 ) = 108 / 35 % new rate = ( 108 / 35 + 4 ) % = 248 / 35 % new s . i . = rs . ( 875 x 248 / 35 x 3 / 100 ) rs . 186 . \u2234 new amount = rs . ( 875 + 186 ) = rs . 1061 . answer c\"" - }, - { - "Answer": 0.8, - "Options": "a ) 0.4 % , b ) 0.8 % , c ) 2 % , d ) 4 % , e ) 8 %", - "Correct": "b", - "Explanation": "\"let p be the original price and let x be the number of items sold originally . the original income is p * x . after the changes , the income is 0.9 p * 1.12 x = 1.008 * ( p * x ) , an increase of 0.8 % . the answer is b .\"" - }, - { - "Answer": 120, - "Options": "a ) a ) 140 , b ) b ) 150 , c ) c ) 120 , d ) d ) 200 , e ) e ) 220", - "Correct": "c", - "Explanation": "\"explanation : ( 1 / 4 ) * ( 1 / 3 ) * ( 2 / 5 ) * x = 10 then x = 10 * 30 = 300 40 % of 300 = 120 answer : option c\"" - }, - { - "Answer": 300, - "Options": "a ) 150 , b ) 997 , c ) 266 , d ) 300 , e ) 271", - "Correct": "d", - "Explanation": "( 30 / 100 ) * x \u2013 70 = 20 3 x = 900 x = 300 answer : d" - }, - { - "Answer": 9320, - "Options": "a ) 9320 , b ) 96288 , c ) 26667 , d ) 1662 , e ) 2882", - "Correct": "a", - "Explanation": "\"( 8000 * 3 * 0.5 ) / 100 = 120 9200 - - - - - - - - 9320 answer : a\"" - }, - { - "Answer": 94.2, - "Options": "a ) 96.9 , b ) 96.3 , c ) 94.2 , d ) 96.7 , e ) 96.21", - "Correct": "c", - "Explanation": "\"explanation : use the formula , cp = 100 \u00e2 \u20ac \u201c discount + brokerage % cp = 100 - 6 + 1 / 5 94.2 thus the cp is rs 94.2 . answer : c\"" - }, - { - "Answer": 4000, - "Options": "a ) rs . 1200 , b ) rs . 1300 , c ) rs . 1500 , d ) rs . 4000 , e ) none of these", - "Correct": "d", - "Explanation": "explanation : interest on rs . 8000 at 5 % per annum = ( 8000 \u00d7 5 \u00d7 1 ) / 100 = rs . 400 let his additional investment at 8 % = x interest on rs . x at 8 % per annum = ( x \u00d7 8 \u00d7 1 ) / 100 = 2 x / 25 . to earn 6 % per annum for the total , interest = ( 8000 + x ) \u00d7 6 \u00d7 1 / 100 . = > 400 + 2 x / 25 = ( 8000 + x ) \u00d7 6 \u00d7 1 / 100 . = > 40000 + 8 x = ( 8000 + x ) \u00d7 6 . = > 40000 + 8 x = 48000 + 6 x . = > 2 x = 8000 . = > x = 4000 . answer : d" - }, - { - "Answer": 240.00000000000028, - "Options": "a ) 160 , b ) 220 , c ) 240 , d ) 360 , e ) 420", - "Correct": "c", - "Explanation": "let ' s xx be total quantity of employees 0.6 x = females before adding men 0.55 ( x + 20 ) = females after adding men as quantity of women does n ' t change we can make an equation : 0.6 x = 0.55 ( x + 20 ) 0.05 x = 11 x = 220 - this is quantity of employees before adding 2020 men so after adding it will be 240 answer is c" - }, - { - "Answer": 49, - "Options": "a ) 25 , b ) 19 , c ) 39 , d ) 61 , e ) 49", - "Correct": "e", - "Explanation": "\"let the required number of bottles be x . more weavers , more mats ( direct proportion ) more days , more mats ( direct proportion ) wavers 4 : 14 : : 4 : x days 4 : 14 4 * 4 * x = 14 * 14 * 4 x = ( 14 * 14 * 4 ) / ( 4 x 4 ) x = 49 . answer is e .\"" - }, - { - "Answer": 1688, - "Options": "a ) 1642 , b ) 1640 , c ) 1632 , d ) 1688 , e ) 6386", - "Correct": "d", - "Explanation": "\"( x * 8 * 3 ) / 100 = ( ( 2743 - x ) * 3 * 5 ) / 100 24 x / 100 = 41145 / 100 - 15 x / 100 39 x = 41145 = > x = 1055 second sum = 2743 \u2013 1055 = 1688 answer : d\"" - }, - { - "Answer": 28, - "Options": "a ) 4 , b ) 5 , c ) 56 , d ) 28 , e ) 7", - "Correct": "d", - "Explanation": "explanation : let the price be = rs . 100 , and number of units sold = 100 then , sale value = rs . ( 100 \u00d7 100 ) = rs . 10000 new sale value = rs . ( 160 \u00d7 80 ) = rs . 12800 increase % = 2800 / 10000 \u00d7 100 = 28 % answer : d" - }, - { - "Answer": 504, - "Options": "a ) 504 , b ) 674 , c ) 672 , d ) 960 , e ) none", - "Correct": "a", - "Explanation": "solution : total employees , = 1200 female employees , 60 % of 1200 . = ( 60 * 1200 ) / 100 = 720 . then male employees , = 480 50 % of male are computer literate , = 240 male computer literate . 62 % of total employees are computer literate , = ( 62 * 1200 ) / 100 = 744 computer literate . thus , female computer literate = 744 - 240 = 504 . answer : option a" - }, - { - "Answer": 19.933333333333334, - "Options": "a ) rs . 11.81 , b ) rs . 19.93 , c ) rs . 12.25 , d ) rs . 12.31 , e ) none", - "Correct": "b", - "Explanation": "\"solution 75 : 13 = 115 : x x = ( 13 \u00e3 \u2014 115 / 75 ) = rs . 19.93 hence , s . p per kg = rs . 19.93 answer b\"" - }, - { - "Answer": 6000.000000000001, - "Options": "a ) rs . 2250 , b ) rs . 3375 , c ) rs . 6000 , d ) rs . 5625 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : let the investment of c be rs . x . the inverstment of b = rs . ( 2 x / 3 ) the inverstment of a = rs . ( 3 \u00d7 ( 2 / 3 ) x ) = rs . ( 2 x ) ratio of capitals of a , b and c = 2 x : 2 x / 3 : x = 6 : 2 : 3 c ' s share = rs . [ ( 3 / 11 ) \u00d7 22000 ] = rs . 6000 answer : option c\"" - }, - { - "Answer": 34.7, - "Options": "a ) a ) 34.7 , b ) b ) 20 , c ) c ) 21.3 , d ) d ) 21.5 , e ) e ) 22", - "Correct": "a", - "Explanation": "\"total cost of the items he purchased = rs . 40 given that out of this rs . 40 , 30 paise is given as tax = > total tax incurred = 30 paise = rs . 30 / 100 let the cost of the tax free items = x given that tax rate = 6 % \u2234 ( 40 \u2212 30 / 100 \u2212 x ) 6 / 100 = 30 / 100 \u21d2 6 ( 40 \u2212 0.3 \u2212 x ) = 30 \u21d2 ( 40 \u2212 0.3 \u2212 x ) = 5 \u21d2 x = 40 \u2212 0.3 \u2212 5 = 34.7 ans - a\"" - }, - { - "Answer": 560, - "Options": "a ) 300 , b ) 420 , c ) 560 , d ) 320 , e ) 400", - "Correct": "c", - "Explanation": "mary receives $ 8 ( 20 ) = $ 160 for the first 20 hours . for the 40 overtime hours , she receives $ 8 ( 0.25 ) + $ 8 = $ 10 per hour , that is $ 10 ( 40 ) = $ 400 . the total amount is $ 160 + $ 400 = $ 560 answer c 560 ." - }, - { - "Answer": 83.08333333333334, - "Options": "a ) 83.08 , b ) 114 , c ) 114.75 , d ) 124 , e ) 124.75", - "Correct": "a", - "Explanation": "face value = rs . 6000 . dividend = 10.5 % . annual income = rs . 756 . brokerage per rs . 100 = rs . 0.25 . dividend is always paid on the face value of a share . face value * dividend / ( market value + brokerage per rs . 100 ) = annual income . = 6000 * 10.5 / 756 = market value of rs . 100 stock + brokerage per rs . 100 . = market value of rs . 100 stock + brokerage per rs . 100 = rs . 83.33 . = market value of rs . 100 stock = rs . 83.33 - re . 0.25 . = market value of rs . 100 stock = rs . 83.08 answer : a" - }, - { - "Answer": 3370.7999999999965, - "Options": "a ) rs . 3360.80 , b ) rs . 3370.80 , c ) rs . 3320.70 , d ) rs . 3230.80 , e ) rs . 3130.80", - "Correct": "b", - "Explanation": "let the sum be rs . p p { [ 1 + 6 / 100 ] 2 - 1 } = 370.80 p ( 6 / 100 ) ( 2 + 6 / 100 ) = 370.80 [ a 2 - b 2 = ( a - b ) ( a + b ) ] p = 246 / ( 0.05 ) ( 2.05 ) = 3000 . amount = rs . 3370.80 . answer : b" - }, - { - "Answer": 1200, - "Options": "a ) rs . 1200 , b ) rs . 1100 , c ) rs . 1300 , d ) rs . 1400 , e ) rs . 1000", - "Correct": "a", - "Explanation": "\"90 % 105 % - - - - - - - - 15 % - - - - 180 100 % - - - - ? = > rs . 1200 answer : a\"" - }, - { - "Answer": 13500, - "Options": "a ) 29997 , b ) 28088 , c ) 13500 , d ) 19000 , e ) 2799", - "Correct": "c", - "Explanation": "\"money paid in cash = rs . 1500 balance payment = ( 15000 - 1500 ) = rs . 13500 . answer : c\"" - }, - { - "Answer": 1145, - "Options": "a ) a ) 1055 , b ) b ) 1075 , c ) c ) 1145 , d ) d ) 1070 , e ) e ) 1080", - "Correct": "c", - "Explanation": "\"cost of 8 kg grapes = 70 \u00d7 8 = 560 . cost of 9 kg of mangoes = 65 \u00d7 9 = 585 . total cost he has to pay = 560 + 585 = 1145 . c )\"" - }, - { - "Answer": 12.08, - "Options": "a ) 12.08 , b ) 12.18 , c ) 12.0 , d ) 6.19 , e ) 6.21", - "Correct": "a", - "Explanation": "\"required run rate = [ 260 - ( 2.3 * 8 ) ] / 20 = 241.60 / 20 = 12.08 answer : a\"" - }, - { - "Answer": 5.933333333333334, - "Options": "a ) 5.93 , b ) 6.5 , c ) 6.75 , d ) 7 , e ) 8", - "Correct": "a", - "Explanation": "\"explanation : required run rate = ( 264 - ( 4.3 x 20 ) ) / 30 = 178 / 30 = 5.93 answer : a\"" - }, - { - "Answer": 216.66666666666666, - "Options": "a ) 62.5 , b ) 62.0 , c ) 62.6 , d ) 216.67 , e ) 62.2", - "Correct": "d", - "Explanation": "\"cp = 150 sp = 150 * ( 130 / 100 ) = 195 mp * ( 90 / 100 ) = 195 mp = 216.67 answer : d\"" - }, - { - "Answer": 1462, - "Options": "a ) 1240 , b ) 1120 , c ) 1190 , d ) 1462 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : td = ( bg \u00d7 100 ) / tr = ( 612 \u00d7 100 ) / ( 6 \u00d7 12 ) = rs . 850 bg = bd \u2013 td = > 612 = bd - 850 = > bd = 612 + 850 = 1462 answer : option d\"" - }, - { - "Answer": 3333.3333333333335, - "Options": "a ) a ) 1500 , b ) b ) 2000 , c ) c ) 2500 , d ) d ) 3000 , e ) e ) 3333", - "Correct": "e", - "Explanation": "\"let the number of meters to be examined be x then , 0.06 % of x = 2 ( 6 / 100 ) * ( ( 1 / 100 ) * x = 2 x = 3333 answer is e\"" - }, - { - "Answer": 0.8, - "Options": "a ) 0.2 , b ) 0.8 , c ) 0.6 , d ) 0.7 , e ) 0.9", - "Correct": "b", - "Explanation": "40 % of 2 = ( 40 / 100 ) * 2 = 0.8 answer : option b" - }, - { - "Answer": 15, - "Options": "a ) 3 , b ) 15 , c ) 20 , d ) 2 , e ) 5", - "Correct": "b", - "Explanation": "\"explanation : 40 / 100 * x - 80 / 100 * 5 = 2 40 / 100 * x - 4 = 2 40 / 100 * x = 6 x = 6 * 100 / 40 x = 15 answer : option b\"" - }, - { - "Answer": 110.86111111111111, - "Options": "a ) 110.86 , b ) 114 , c ) 114.75 , d ) 124 , e ) 124.75", - "Correct": "a", - "Explanation": "\"face value = rs . 8000 . dividend = 10.5 % . annual income = rs . 756 . brokerage per rs . 100 = rs . 0.25 . dividend is always paid on the face value of a share . face value * dividend / ( market value + brokerage per rs . 100 ) = annual income . = 8000 * 10.5 / 756 = market value of rs . 100 stock + brokerage per rs . 100 . = market value of rs . 100 stock + brokerage per rs . 100 = rs . 111.11 = market value of rs . 100 stock = rs . 111.11 - re . 0.25 . = market value of rs . 100 stock = rs . 110.86 . answer : a\"" - }, - { - "Answer": 76.36363636363637, - "Options": "a ) 4 % , b ) 10 % , c ) 76.36 % , d ) 90.16 % , e ) 20 %", - "Correct": "c", - "Explanation": "\"no of employees = 100 ( say ) men = 45 women = 55 men speaking french = 0.6 * 45 = 27 employees speaking french = 0.55 * 100 = 55 therefore women speaking french = 55 - 42 = 13 and women not speaking french = 55 - 13 = 42 % of women not speaking french = 42 / 55 * 100 = 76.36 % answer c\"" - }, - { - "Answer": 79, - "Options": "a ) 77 % , b ) 73 % , c ) 79 % , d ) 83 % , e ) none", - "Correct": "c", - "Explanation": "solution : number of indians men present there = 700 * 20 / 100 = 140 indian women = 500 * 40 / 100 = 200 indian children = 800 * 10 / 100 = 80 . total member present in climate conference = 700 + 500 + 800 = 2000 total indian = 200 + 140 + 80 = 420 hence , % of indian present there = 420 * 100 / 2000 = 21 % % of people who were not indian = 100 - 42 = 79 % . answer c" - }, - { - "Answer": 5737.5, - "Options": "a ) 5737.5 , b ) 8032.5 , c ) 4462.5 , d ) 8900 , e ) none of these", - "Correct": "a", - "Explanation": "\"let the sums be p . now , 70 % of p = 4016.25 or , p = 5737.5 answer a\"" - }, - { - "Answer": 35000, - "Options": "a ) 20000 , b ) 10000 , c ) 25000 , d ) 35000 , e ) 30000", - "Correct": "d", - "Explanation": "\"sol = ~ s - so anju \u2019 s share = [ 5 / 9 ] x 63000 = 35000 d\"" - }, - { - "Answer": 19.000000000000007, - "Options": "a ) 24 % , b ) 34 % , c ) 22 % , d ) 19 % , e ) 8.5 %", - "Correct": "d", - "Explanation": "\"consider total solution to be 100 liters and in this case you ' ll have : 75 * 0.15 + 25 * x = 100 * 0.16 - - > x = 0.19 . answer : d .\"" - }, - { - "Answer": 68.0672268907563, - "Options": "a ) 60 , b ) 65 , c ) 69 , d ) 68.25 , e ) 67.5", - "Correct": "d", - "Explanation": "1 ) let the price of jacket initially be $ 100 . 2 ) then it is decreased by 15 % , therefore bringing down the price to $ 85 . 3 ) again it is further discounted by 30 % , therefore bringing down the price to $ 59.5 4 ) now 59.5 has to be added byx % in order to equal the original price . 59.5 + ( x % ) 59.5 = 100 . solving this eq for x , we get x = 68.25 ans is d" - }, - { - "Answer": 70, - "Options": "a ) 25 % , b ) 50 % , c ) 60 % , d ) 70 % , e ) 100 %", - "Correct": "d", - "Explanation": "\"basically we can disregard the radius is 25 % information , as we are only asked about the height of the original and the new cylinder . this is becausethe new cylinder is 3 / 5 fullmeans the same as that it ' s height is 3 / 5 . original cylinder 6 / 7 new cylinder 3 / 5 so 3 / 5 / 6 / 7 = 3 / 5 * 7 / 6 = 0.70 or 70 % . answer d\"" - }, - { - "Answer": 500, - "Options": "a ) s . 500 , b ) s . 600 , c ) s . 700 , d ) s . 800 , e ) s . 900", - "Correct": "a", - "Explanation": "\"explanation : let the sub be rs . x and the initial rate be r % . then x \u00e3 \u2014 ( r + 6 ) \u00e3 \u2014 1 / 100 \u00e2 \u02c6 \u2019 x \u00e3 \u2014 r \u00e3 \u2014 1 / 100 = 30 \u00e2 \u2021 \u2019 x \u00e3 \u2014 6 \u00e3 \u2014 1 / 100 = 30 \u00e2 \u2021 \u2019 x \u00e3 \u2014 1 / 100 = 5 \u00e2 \u2021 \u2019 x = 500 answer : option a\"" - }, - { - "Answer": 80, - "Options": "a ) 45 % , b ) 50 % , c ) 60 % , d ) 80 % , e ) 90 %", - "Correct": "d", - "Explanation": "p = 0.5 r = 0.9 g r = 0.9 g / 0.5 = 1.8 * g thus r is 80 % greater than g . the answer is d ." - }, - { - "Answer": 500, - "Options": "a ) 90 , b ) 180 , c ) 270 , d ) 500 , e ) 1,000", - "Correct": "d", - "Explanation": "\"let total number of female officers in the police force = f total number of officers on duty on that night = 180 number of female officers on duty on that night = 180 / 2 = 90 ( 18 / 100 ) * f = 90 = > f = 500 answer d\"" - }, - { - "Answer": 320, - "Options": "a ) 130 % , b ) 320 % , c ) 150 % , d ) 160 % , e ) 170 %", - "Correct": "b", - "Explanation": "\"explanation : let the c . p . = x , then s . p . = ( 160 / 100 ) x = 8 x / 5 new s . p . = 2 ( 8 x / 5 ) = 16 x / 5 profit = 16 x / 5 - x = 16 x / 5 profit % = ( profit / c . p . ) * 100 = > ( 16 x / 5 ) * ( 1 / x ) * 100 = 320 % option b\"" - }, - { - "Answer": 600, - "Options": "a ) s . 575 , b ) s . 595 , c ) s . 590 , d ) s . 600 , e ) s . 585", - "Correct": "d", - "Explanation": "80 = ( 420 * 4 * r ) / 100 r = 7.14 % i = ( 420 * 6 * 7.14 ) / 100 = 180 420 + 180 = 600 answer : d" - }, - { - "Answer": 192, - "Options": "a ) $ 198 , b ) $ 216 , c ) $ 192 , d ) $ 230 , e ) $ 240", - "Correct": "c", - "Explanation": "\"wholesale cost of video recorder = 200 $ video recorder was priced at 20 percent above 200 = 240 $ % discount given by store employee = 20 emlpoyee paid = . 8 * 240 = 192 $ answer c\"" - }, - { - "Answer": 760, - "Options": "a ) 643 , b ) 677 , c ) 760 , d ) 767 , e ) 832", - "Correct": "c", - "Explanation": "if mike had scored 16 marks more , he could have scored 30 % therefore , mike required 212 + 16 = 228 marks let the maximum marks be m . then 30 % of m = 228 ( 30 / 100 ) \u00d7 m = 228 m = ( 228 \u00d7 100 ) / 30 m = 22800 / 30 m = 760 answer : c" - }, - { - "Answer": 200, - "Options": "a ) 200 , b ) 160 , c ) 100 , d ) 65 , e ) 50", - "Correct": "a", - "Explanation": "\"( 45 / 100 ) z = ( 120 / 100 ) y and y = ( 75 / 100 ) x i . e . y = ( 3 / 4 ) x i . e . ( 45 / 100 ) z = ( 120 / 100 ) * ( 3 / 4 ) x i . e . z = ( 120 * 3 ) x / ( 45 * 4 ) i . e . z = ( 2 ) x = ( 200 / 100 ) x i . e . z is 200 % of x answer : option a\"" - }, - { - "Answer": 0.04, - "Options": "a ) 0.4 , b ) 0.04 , c ) 0.004 , d ) 0.0004 , e ) 4", - "Correct": "b", - "Explanation": "\"4 / 100 = 0.04 answer : b\"" - }, - { - "Answer": 9, - "Options": "a ) 3 , b ) 5 , c ) 8 , d ) 9 , e ) 10", - "Correct": "d", - "Explanation": "\"solution speed in still water = 1 / 2 ( 11 + 7 ) km / hr = 9 kmph . answer d\"" - }, - { - "Answer": 5384.615384615386, - "Options": "a ) 4063 , b ) 5325 , c ) 5385 , d ) 6000 , e ) 6154", - "Correct": "c", - "Explanation": "\"interest = 0.07 * 5000 = 0.065 * selling price - - > selling price = 0.07 * 5000 / 0.065 - - > selling price = ~ 5,385 answer : c .\"" - }, - { - "Answer": 513, - "Options": "a ) 227 , b ) 513 , c ) 342 , d ) 787 , e ) 191", - "Correct": "b", - "Explanation": "\"600 * ( 90 / 100 ) * ( 95 / 100 ) = 513 answer : b\"" - }, - { - "Answer": 11, - "Options": "a ) 1 kmph , b ) 7 kmph , c ) 98 kmph , d ) 11 kmph , e ) 4 kmph", - "Correct": "d", - "Explanation": "\"ds = 26 us = 4 s = ? s = ( 26 - 4 ) / 2 = 11 kmph answer : d\"" - }, - { - "Answer": 0.4999999999999999, - "Options": "a ) 2 / 5 , b ) 2 / 3 , c ) 1 / 2 , d ) 1 / 3 , e ) 1 / 5", - "Correct": "c", - "Explanation": "\"let total paint = 1 let amount replaced = x 10 ( 1 - x ) + 20 x = 15 x = 1 / 2 answer : c\"" - }, - { - "Answer": 24.56140350877193, - "Options": "a ) 3.0 , b ) 3.36 , c ) 24.56 , d ) 25.0 , e ) 31.36", - "Correct": "c", - "Explanation": "\"cost price * 1.14 = selling price - - > cost price * 1.14 = $ 28 - - > cost price = $ 24.56 . answer : c .\"" - }, - { - "Answer": 455, - "Options": "a ) rs . 200 , b ) rs . 350 , c ) rs . 275 , d ) rs . 455 , e ) none of these", - "Correct": "d", - "Explanation": "\"average would be : 350 = ( 245 + x ) / 2 on solving , x = 455 . answer : d\"" - }, - { - "Answer": 768, - "Options": "a ) 698 , b ) 768 , c ) 1430 , d ) 1980 , e ) none", - "Correct": "b", - "Explanation": "\"sol . p . w . = 100 * t . d . / r * t = 100 * 168 / 14 * 2 = 600 . \u2234 sum = ( p . w . + t . d . ) = rs . ( 600 + 168 ) = rs . 768 . answer b\"" - }, - { - "Answer": 30, - "Options": "a ) 32 , b ) 30 , c ) 39 , d ) 40 , e ) 42", - "Correct": "b", - "Explanation": "\"cost + profit = sales cost + ( 125 / 100 ) cost = 54 cost = 24 profit = 54 - 24 = 30 answer ( b )\"" - }, - { - "Answer": 120, - "Options": "a ) 14.4 , b ) 120 , c ) 50.4 , d ) 60 , e ) 90", - "Correct": "b", - "Explanation": "\"30 % of area of the floor = 4 * 9 square feet = 36 square feet i . e . 100 % area of floor = ( 36 / 30 ) * 100 = 120 square feet answer : option b\"" - }, - { - "Answer": 20, - "Options": "a ) 20 % , b ) 27 % , c ) 31 % , d ) 43 % , e ) none", - "Correct": "a", - "Explanation": "solution let c . p = rs . 100 then , marked price = rs . 135 , s . p = rs . 108 . discount % = ( 27 / 135 \u00d7 100 ) % = 20 % answer a" - }, - { - "Answer": 37.499999999999986, - "Options": "a ) 20 % loss , b ) 37.5 % profit , c ) 37.5 % loss , d ) 30.33 % loss , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : let cost price of 1 article be re . 1 . therefore , cost price of 22 articles = rs . 22 . selling price of 16 articles = rs . 22 therefore , selling price of 22 articles is : - = > 22 / 16 \u00e3 \u2014 22 = > 30.25 . therefore , profit = selling price - cost price . = > 30.25 \u00e2 \u02c6 \u2019 22 = 8.25 hence , the percentage of profit = profit x 100 / c . p . = > 8.25 / 22 \u00e3 \u2014 100 . = > 37.5 % profit . answer : b\"" - }, - { - "Answer": 8, - "Options": "a ) 4 % , b ) 7 % , c ) 8 % , d ) 3 % , e ) 1 %", - "Correct": "c", - "Explanation": "\"let sum = x . then , s . i . = 4 x / 5 , time = 10 years . rate = ( 100 * 4 x ) / ( x * 5 * 10 ) = 8 % answer : c\"" - }, - { - "Answer": 928, - "Options": "a ) $ 480 , b ) $ 450 , c ) $ 928 , d ) $ 870 , e ) $ 660", - "Correct": "c", - "Explanation": "\"let c . p . = $ x . then , 832 - x = x - 448 2 x = 1280 = > x = 640 required s . p . = 145 % of $ 640 = $ 928 . c\"" - }, - { - "Answer": 5, - "Options": "a ) 3 % , b ) 5 % , c ) 7 % , d ) 9 % , e ) 11 %", - "Correct": "b", - "Explanation": "\"selling price / total cost = 1260 / 1200 = 1.05 the gain percent is 5 % . the answer is b .\"" - }, - { - "Answer": 8736, - "Options": "a ) 5568 , b ) 6369 , c ) 8736 , d ) 5635 , e ) 6734", - "Correct": "c", - "Explanation": "\"8000 * 104 / 100 * 105 / 100 = > 8736 answer : c\"" - }, - { - "Answer": 32.5, - "Options": "a ) 22.5 , b ) 27.5 , c ) 32.5 , d ) 37.5 , e ) none", - "Correct": "c", - "Explanation": "sol . number of males = 60 % of 1000 = 600 . number of females = ( 1000 - 600 ) = 400 . number of literates = 25 % of 1000 = 250 . number of literate males = 20 % of 600 = 120 . number of literate females = ( 250 - 120 ) = 130 . \u2234 required percentage = ( 130 / 400 x 100 ) % = 32.5 % answer c" - }, - { - "Answer": 350, - "Options": "a ) 197 , b ) 280 , c ) 189 , d ) 278 , e ) 350", - "Correct": "e", - "Explanation": "\"x * ( 85 / 100 ) = ( 600 - x ) 119 / 100 x = 350 answer : e\"" - }, - { - "Answer": 75, - "Options": "a ) 25 % , b ) 50 % , c ) 20 % , d ) 75 % , e ) 30 %", - "Correct": "d", - "Explanation": "\"c . p . = $ 20 s . p . = $ 35 gain = $ 15 gain % = 15 / 20 * 100 = 75 % answer is d\"" - }, - { - "Answer": 9, - "Options": "a ) 4 h , b ) 5 h , c ) 7 h , d ) 9 h , e ) 8 h", - "Correct": "d", - "Explanation": "first time distance is h second time 80 h / 100 = 4 h / 5 similarly third time 80 % of 4 h / 5 = h ( 4 ^ 2 ) / ( 5 ^ 2 ) and so on . . . this will lead to infinite terms of geometric progression i . e h + 2 * 4 h / 5 + 2 * 16 h / 25 . . . . . . . . . . . . sum = h + 2 * 4 h / ( 5 ( 1 - 4 / 5 ) ) = 9 h answer : d" - }, - { - "Answer": 40, - "Options": "a ) 50 % , b ) 33.33 % , c ) 40 % , d ) 16.66 % , e ) 12.5 %", - "Correct": "c", - "Explanation": "\"say the original retail price of the item was $ 200 . the price after the first sale = 4 / 5 * $ 200 = $ 160 . the price after the second sale = 1 / 2 * $ 200 = $ 100 . the percent change from the first sale to the second = ( 160 - 100 ) / 150 = 1 / 3 = 40 % . answer : c .\"" - }, - { - "Answer": 79860, - "Options": "a ) 86000 , b ) 79860 , c ) 76300 , d ) 82900 , e ) none of these", - "Correct": "b", - "Explanation": "explanation : solution : the required population is 60000 ( 1 + 10 / 100 ) ^ 3 = 60000 * 110 / 100 * 110 / 100 * 110 / 100 = 79860 answer : b" - }, - { - "Answer": 1.5, - "Options": "a ) 4.5 , b ) 3.5 , c ) 3 , d ) 2 , e ) 1.5", - "Correct": "e", - "Explanation": "we can form equations as following : initial amount = p , total amount after interest = t , interest per year = i t = p + i given t 1 = p + 2 i = 1400 t 2 = p + 5 i = 2000 from this we get , p = 1000 i = 200 $ now we know that simple interest is < compound interest ( ci = si only after 1 st year if ci is compounded annually ) consider simple interest - after 1 st yer it is 200 $ , after 2 nd years it is 400 $ and after 3 rd year it is 600 $ . to get a 240 $ compound interest the duration have to be > 1 year and < 2 years . only option fitting : option e ." - }, - { - "Answer": 400000, - "Options": "a ) a ) 452000 , b ) b ) 562000 , c ) c ) 800000 , d ) d ) 400000 , e ) e ) 652000", - "Correct": "d", - "Explanation": "\"3 children got = 3 * 20 % = 60 % wife got = 25 % orphan house = 5 % total = 60 + 25 + 5 = 90 % remaining = 100 - 90 = 10 % 10 % = 40000 100 % = 40000 * 100 / 10 = $ 400000 answer is d\"" - }, - { - "Answer": 60, - "Options": "a ) rs . 20 , b ) rs . 60 . , c ) rs . 40 , d ) rs . 30 , e ) rs . 90", - "Correct": "b", - "Explanation": "( c . p . of 17 balls ) - ( s . p . of 17 balls ) = ( c . p . of 5 balls ) c . p . of 12 balls = s . p . of 17 balls = rs . 720 . c . p . of 1 ball = rs . 720 / 12 = rs . 60 . answer : b" - }, - { - "Answer": 433.33333333333337, - "Options": "a ) 360 , b ) 380 , c ) 400 , d ) 406 , e ) 433", - "Correct": "e", - "Explanation": "\"mr . john used to purchase certain number of mangoes for $ 360 since the price of mangoes is reduced by 10 % he got 12 more mangoes today . find the original price of 120 mangoes . method 1 : let price per mango = x . let number of mangoes be n . then , nx = 360 . now price = 0.9 x ; number of mangoes = n + 12 . total amount = 0.9 x * ( n + 12 ) = 360 . nx = 0.9 nx + 10.8 x = > 0.1 nx = 10.8 x = > n = 108 = > x = 360 / 108 = 3.33 original price of 130 mangoes = 130 * 3.33 = 433 . answer e\"" - }, - { - "Answer": 50, - "Options": "a ) 16 % , b ) 25 % , c ) 32 % , d ) 40 % , e ) 50 %", - "Correct": "e", - "Explanation": "\"total employed people 72 % , out of which 36 are employed males , hence 36 % are employed females . ( employed females ) / ( total employed people ) = 36 / 72 = 1 / 2 = 50 % answer : e .\"" - }, - { - "Answer": 1299.9999999999998, - "Options": "a ) s 4000 , b ) s 1800 , c ) s 800 , d ) s 500 , e ) s 1300", - "Correct": "e", - "Explanation": "\"explanation : average rate = ( 144 / 3400 ) * 100 = 4.24 ratio = 7.65 : 12.35 so , first part = ( 7.65 / 20 ) * 3400 = rs 1300 . answer : e\"" - }, - { - "Answer": 150, - "Options": "a ) 125 , b ) 150 , c ) 225 , d ) 250 , e ) 500", - "Correct": "b", - "Explanation": "\"90 = ( x / 100 ) * ( # boys ) # boys = . 4 x substitute and solve : 90 = ( x / 100 ) * ( . 4 x ) 9000 = . 4 ( x ^ 2 ) 25000 = x ^ 2 x = 150 answer : b\"" - }, - { - "Answer": 210, - "Options": "a ) 2287 , b ) 140 , c ) 128 , d ) 210 , e ) 123", - "Correct": "d", - "Explanation": "\"given 30 % ( income ) = 300 \u21d2 \u21d2 income = 1000 after having spent rs . 300 on petrol , he left with rs . 700 . his spending on house rent = 30 % ( 700 ) = rs . 210 answer : d\"" - }, - { - "Answer": 10, - "Options": "a ) 2 % , b ) 4 % , c ) 6 % , d ) 8 % , e ) 10 %", - "Correct": "e", - "Explanation": "\"selling price / total cost = 1320 / 1200 = 1.1 the gain percent is 10 % . the answer is e .\"" - }, - { - "Answer": 7, - "Options": "a ) 8.5 , b ) 8.0 , c ) 9.5 , d ) 7.0 , e ) 8.25", - "Correct": "d", - "Explanation": "\"rate of still water = 1 / 2 ( down stream + upstream ) = 1 / 2 ( 26 + 12 ) = 19 kmph rate of current = 1 / 2 ( down stream - upstream ) = 1 / 2 ( 26 - 12 ) = 1 / 2 ( 14 ) = 7 kmph answer is d .\"" - }, - { - "Answer": 3.000000000000001, - "Options": "a ) 8 % , b ) 7 % , c ) 10 % , d ) 3 % , e ) 4 %", - "Correct": "d", - "Explanation": "\"explanation : 70 * ( 90 / 100 ) * ( ( 100 - x ) / 100 ) = 61.11 x = 3 % d\"" - }, - { - "Answer": 103.49999999999999, - "Options": "a ) 80 , b ) 103.5 , c ) 95 , d ) 100 , e ) 108", - "Correct": "b", - "Explanation": "\"assume a value at the beginning of 2007 . as this is a % question , assume p = 100 . at the end of 2007 it becmae = 1.2 * 100 = 120 at the end of 2008 it decreased by 25 % = 120 * . 75 = 90 at the end of 2009 it increased by 20 % = 90 * 1.15 = 103.5 thus ratio = 103.5 / 100 = 1.03 ( in % terms = 103 % ) . thus b is the correct answer .\"" - }, - { - "Answer": 50, - "Options": "a ) 18 , b ) 28 , c ) 50 , d ) 68 , e ) 70", - "Correct": "c", - "Explanation": "the correct method total = 300 . . 70 % of 300 = 210 got gifts . . 90 did not get gift , out of which 15 are males , so remaining 90 - 15 = 75 are females . . but 40 % females brought gift , so 60 % did not get it . . so 60 % = 75 , 100 % = 75 * 100 / 60 = 125 . . ans 40 % of 125 = 50 c" - }, - { - "Answer": 187.5, - "Options": "a ) 182.5 , b ) 184.5 , c ) 167.5 , d ) 172.5 , e ) 187.5", - "Correct": "e", - "Explanation": "\"for this it is easiest to use simple numbers . let ' s assume that elaine ' s annual earnings last year were $ 100 . she would ' ve spent $ 20 of this on rent . this year she earned 25 % more , or $ 125 . she would ' ve spent 30 % of this on rent , or $ 37.5 do $ 37.5 / $ 20 this will give you 187.5 % e is the correct answer .\"" - }, - { - "Answer": 222.22222222222223, - "Options": "a ) 191 , b ) 213 , c ) 221 , d ) 223 , e ) 226", - "Correct": "d", - "Explanation": "\"for this question , we ' ll need the following formula : sell price = cost + profit we ' re told that the profit on 1 item is $ 20 and that this represents 10 % of the cost : sell price = cost + $ 50 sell price = $ 500 + $ 50 thus , the sell price is $ 550 for each item . selling all 100 items gives the retailer . . . 100 ( $ 50 ) = $ 2,000 of profit if the retailer offers a 5 % discount on the sell price , then the equation changes . . . 5 % ( 550 ) = $ 27.5 discount $ 522.5 = $ 500 + $ 22.5 now , the retailer makes a profit of just $ 22.5 per item sold . to earn $ 2,000 in profit , the retailer must sell . . . . $ 22.5 ( x ) = $ 2,000 x = 2,000 / 22.5 x = 222.222222 items you ' ll notice that this is not among the answer choices . . . . 221 and 223 are . selling 221 items would get us 9 ( 221 ) = $ 1989 which is not enough money . to get back to at least $ 2,000 , we need to sell 223 items . final answer : d\"" - }, - { - "Answer": 6.25, - "Options": "a ) 93.5 , b ) 90 , c ) 6.75 , d ) 6.25 , e ) 2", - "Correct": "d", - "Explanation": "\"usually we can solve every question of this type by choosing appropriate value of the variable and deriving the value of other related variables . let , p = 400 then j = ( 75 / 100 ) * 400 = 300 also j = ( 80 / 100 ) * t i . e . t = 300 * 100 / 80 = 375 and t = [ 1 - ( r / 100 ) ] * p i . e . 100 - r = 100 * t / p = 100 * 375 / 400 = 93.75 i . e . r = 6.25 answer : option d\"" - }, - { - "Answer": 2, - "Options": "a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 1 , e ) 2", - "Correct": "e", - "Explanation": "\"concentration of salt in pure solution = 0 concentration of salt in salt solution = 30 % concentration of salt in the mixed solution = 20 % the pure solution and the salt solution is mixed in the ratio of - - > ( 30 - 20 ) / ( 20 - 0 ) = 1 / 2 1 / x = 1 / 2 x = 2 answer : e\"" - }, - { - "Answer": 840, - "Options": "a ) a ) 540 , b ) b ) 400 , c ) c ) 700 , d ) d ) 650 , e ) e ) 840", - "Correct": "e", - "Explanation": "\"let the number of students appeared be x then , 65 % of x = 546 65 x / 100 = 546 x = 546 * 100 / 65 = 840 answer is e\"" - }, - { - "Answer": 5000, - "Options": "a ) 2999 , b ) 2778 , c ) 6000 , d ) 5000 , e ) 6612", - "Correct": "d", - "Explanation": "\"x * 12 : 2 x * 6 : 3 x * 4 1 : 1 : 1 1 / 3 * 15000 = 5000 answer : d\"" - }, - { - "Answer": 80, - "Options": "a ) 10 % , b ) 80 % , c ) 30 % , d ) 25 % , e ) 28 %", - "Correct": "b", - "Explanation": "cp = 50 sp = 90 profit = 90 - 50 = 40 % = 40 / 50 * 100 = 80 % answer : b" - }, - { - "Answer": 7500, - "Options": "a ) rs . 6000 , b ) rs . 7500 , c ) rs . 8000 , d ) rs . 10,000 , e ) none", - "Correct": "b", - "Explanation": "\"sol . saving = [ 100 - ( 40 + 20 + 10 + 10 ] % = 20 % . let the monthly salary be rs . x . then , 20 % of x = 1500 \u21d4 20 / 100 x = 1500 \u21d4 x = 1500 \u00d7 5 = 7500 . answer b\"" - }, - { - "Answer": 9.473684210526317, - "Options": "a ) 1 , b ) 14 , c ) 9.47 , d ) 21 , e ) 22", - "Correct": "c", - "Explanation": "clearly , the numbers which have 1 or 9 in the unit ' s digit , have squares that end in the digit 1 . such numbers from 1 to 95 are 10 , 20,30 , 40,50 , 60,70 , 80,90 . number of such numbers = 14 . required percentage = ( 9 / 95 * 100 ) = 9.47 % answer : c" - }, - { - "Answer": 75, - "Options": "a ) 75 , b ) 52 , c ) 58 , d ) 60 , e ) 62", - "Correct": "a", - "Explanation": "\"solution solution let the number be x . x - 16 % of x = 63 x - 16 / 100 x = 63 x - 4 / 25 x = 63 21 / 25 x = 63 x = ( 63 x 25 / 21 ) = 75 answer a\"" - }, - { - "Answer": 2000, - "Options": "a ) 648 , b ) 1800 , c ) 2000 , d ) 10800 , e ) 10900", - "Correct": "c", - "Explanation": "\"let the required number of bottles be x . more machines , more bottles ( direct proportion ) more minutes , more bottles ( direct proportion ) machines 6 : 10 : : 300 : x time ( in minutes ) 1 : 4 6 x 1 x x = 10 x 4 x 300 x = ( 10 x 4 x 300 ) / ( 6 ) x = 2000 . answer : c\"" - }, - { - "Answer": 7, - "Options": "a ) 5 % , b ) 6 % , c ) 7 % , d ) 8 % , e ) 9 %", - "Correct": "c", - "Explanation": "explanation : let rate = r % then time = r years . = > 1500 \u2217 r \u2217 r / 100 = 735 = > r 2 = 49 = > r = 7 % option c" - }, - { - "Answer": 20, - "Options": "a ) 15 % , b ) 18 % , c ) 20 % , d ) 22 % , e ) 25 %", - "Correct": "c", - "Explanation": "selling price / total cost = 1200 / 1000 = 1.2 the gain percent is 20 % . the answer is c ." - }, - { - "Answer": 24.807692307692307, - "Options": "a ) 17 % , b ) 19 % , c ) 24.8 % , d ) 14 % , e ) 16 %", - "Correct": "c", - "Explanation": "\"total cp = rs . 42000 + rs . 10000 = rs . 52000 and sp = rs . 64900 profit ( % ) = ( 64900 - 52000 ) / 52000 * 100 = 24.8 % answer : c\"" - }, - { - "Answer": 65, - "Options": "a ) 40 , b ) 65 , c ) 72 , d ) 78 , e ) 20", - "Correct": "b", - "Explanation": "let the market price of each pen be $ 1 then , cost price of 60 pens = $ 36 selling price of 60 pens = 99 % of $ 60 = $ 59.40 profit % = ( ( 23.40 * 100 ) / 36 ) % = 65 % answer b" - }, - { - "Answer": 12000, - "Options": "a ) 12300 , b ) 12350 , c ) 12000 , d ) 12500 , e ) 12600", - "Correct": "c", - "Explanation": "\"formula : ( after = 100 denominator ago = 100 numerator ) 10000 \u00e3 \u2014 120 / 100 = 12000 c\"" - }, - { - "Answer": 249.99999999999977, - "Options": "a ) 150 , b ) 200 , c ) 250 , d ) 350 , e ) 400", - "Correct": "c", - "Explanation": "\"there are 495 managers and 5 others . the 5 others would compose 2 % of the total number of people if there were 250 people in the room . thus 250 managers must leave . the answer is c .\"" - }, - { - "Answer": 7799.999999999999, - "Options": "a ) 7500 , b ) 7800 , c ) 8100 , d ) 8400 , e ) 8700", - "Correct": "b", - "Explanation": "\"let the total number of original inhabitants be x . ( 75 / 100 ) * ( 90 / 100 ) * x = 5265 ( 27 / 40 ) * x = 5265 x = 5265 * 40 / 27 = 7800 the answer is b .\"" - }, - { - "Answer": 600.0000000000006, - "Options": "a ) 700 kg , b ) 500 kg , c ) 600 kg , d ) 800 kg , e ) 900 kg", - "Correct": "c", - "Explanation": "\"by the rule of alligation : profit of first part profit of second part so , ratio of 1 st and 2 nd parts = 4 : 6 = 2 : 3 . quantity of 2 nd kind = ( 3 / 5 x 1000 ) kg = 600 kg answer : c\"" - }, - { - "Answer": 60, - "Options": "a ) 20 , b ) 15 , c ) 40 , d ) 60 , e ) 25", - "Correct": "d", - "Explanation": "\"selling price is 48 cents / lb for a 20 % profit , cost price should be 40 cents / lb ( cp * 6 / 5 = 48 ) basically , you need to mix 25 cents / lb ( salt 1 ) with 50 cents / lb ( salt 2 ) to get a mixture costing 40 cents / lb ( salt avg ) weight of salt 1 / weight of salt 2 = ( salt 2 - saltavg ) / ( saltavg - salt 1 ) = ( 50 - 40 ) / ( 40 - 25 ) = 2 / 3 we know that weight of salt 1 is 40 lbs . weight of salt 2 must be 60 lbs . answer ( d )\"" - }, - { - "Answer": 900, - "Options": "a ) 800 , b ) 700 , c ) 500 , d ) 900 , e ) 600", - "Correct": "d", - "Explanation": "\"formula = total = 100 % , increase = ` ` + ' ' decrease = ` ` - ' ' a number means = 100 % that same number increased by 20 % = 120 % 120 % - - - - - - - > 1080 ( 120 \u00e3 \u2014 9 = 1080 ) 100 % - - - - - - - > 900 ( 100 \u00e3 \u2014 9 = 900 ) option ' d '\"" - }, - { - "Answer": 7, - "Options": "a ) 1 kmph , b ) 3 kmph , c ) 8 kmph , d ) 7 kmph , e ) 5 kmph", - "Correct": "d", - "Explanation": "\"ds = 18 us = 4 s = ? s = ( 18 - 4 ) / 2 = 7 kmph answer : d\"" - }, - { - "Answer": 0.02, - "Options": "a ) 0.2 , b ) 0.02 , c ) 0.002 , d ) 0.0002 , e ) 2", - "Correct": "b", - "Explanation": "2 / 100 = 0.02 answer : b" - }, - { - "Answer": 64, - "Options": "a ) 62 % , b ) 63 % , c ) 64 % , d ) 65 % , e ) 66 %", - "Correct": "c", - "Explanation": "area of the sheet = ( 20 * 30 ) cm 2 = 600 cm 2 area used for typing = ( [ 20 - 4 ] * [ 30 - 6 ] ) cm 2 = 384 cm 2 therefore required percentage = ( 384 / 600 ) * 100 = 64 % answer c" - }, - { - "Answer": 1648, - "Options": "a ) 1629 , b ) 1648 , c ) 2677 , d ) 2986 , e ) 2679", - "Correct": "b", - "Explanation": "\"( x * 8 * 3 ) / 100 = ( ( 2678 - x ) * 3 * 5 ) / 100 24 x / 100 = 40170 / 100 - 15 x / 100 39 x = 40170 = > x = 1030 second sum = 2678 \u00e2 \u20ac \u201c 1030 = 1648 answer : b\"" - }, - { - "Answer": 310, - "Options": "a ) $ 270 , b ) $ 290 , c ) $ 310 , d ) $ 330 , e ) $ 350", - "Correct": "c", - "Explanation": "\"let the money sandy took for shopping be x . 0.7 x = 217 x = 310 the answer is c .\"" - }, - { - "Answer": 66.66666666666667, - "Options": "a ) 20 % , b ) 33.3 % , c ) 40 % , d ) 60 % , e ) 66.6 %", - "Correct": "e", - "Explanation": "\"let the price of a ticket be rs . 100 , so 4 tickets cost 400 & 12 tickets cost 1200 12 tickets purchased at price of 4 tickets ie . , for 400 , so amount saved s rs . 800 , % of 5 tickets = ( 800 / 1200 ) * 100 = 66.6 % answer : e\"" - }, - { - "Answer": 9, - "Options": "a ) 14 sec , b ) 10 sec , c ) 12 sec , d ) 8 sec , e ) 9 sec", - "Correct": "e", - "Explanation": "\"time taken to cover the entire length = tot . dist / resultant speed = 126 / ( 11 + 3 ) = 9 sec answer : e\"" - }, - { - "Answer": 5331.168831168831, - "Options": "a ) s . 5331 , b ) s . 5269 , c ) s . 5228 , d ) s . 5218 , e ) s . 52192", - "Correct": "a", - "Explanation": "\"explanation : let us assume mr . karan borrowed amount is rs . a . ( the principal ) by formula of simple interest , s . i . = prt / 100 where p = the principal , r = rate of interest as a % , t = time in years s . i . = ( p * 6 * 9 ) / 100 = 54 p / 100 amount = principal + s . i . 8210 = p + ( 54 p / 100 ) 8210 = ( 100 p + 54 p ) / 100 8210 = 154 p / 100 p = ( 8210 * 100 ) / 154 = rs . 5331.169 answer : a\"" - }, - { - "Answer": 140, - "Options": "a ) 110 , b ) 140 , c ) 220 , d ) 250 , e ) 500", - "Correct": "b", - "Explanation": "\"let b be the number of boys in the school . 98 = xb / 100 b = 0.5 x 9800 = 0.5 x ^ 2 x ^ 2 = 19600 x = 140 the answer is b .\"" - }, - { - "Answer": 100.49999999999999, - "Options": "a ) 3 , b ) 30 , c ) 300 , d ) 100.5 , e ) 201.2", - "Correct": "d", - "Explanation": "\"answer let one - third of 1206 is n % of 400 . \u2235 1206 / 3 = ( n x 400 ) / 100 \u2234 n = ( 402 x 100 ) / 400 = 100.5 correct option : d\"" - }, - { - "Answer": 2000, - "Options": "a ) rs . 1500 , b ) rs . 2000 , c ) rs . 3000 , d ) rs . 4200 , e ) rs . 2500", - "Correct": "b", - "Explanation": "\"80 % 106 % - - - - - - - - 26 % - - - - 520 100 % - - - - ? = > rs . 2000 answer : b\"" - }, - { - "Answer": 25, - "Options": "a ) 20 % loss , b ) 25 % profit , c ) 33.33 % loss , d ) 30.33 % loss , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : let cost price of 1 article be re . 1 . therefore , cost price of 20 articles = rs . 20 . selling price of 16 articles = rs . 20 therefore , selling price of 20 articles is : - = > 20 / 16 \u00d7 20 = > 25 . therefore , profit = selling price - cost price . = > 25 \u2212 20 = 5 . hence , the percentage of profit = profit x 100 / c . p . = > 5 / 20 \u00d7 100 . = > 25 % profit . answer : b\"" - }, - { - "Answer": 34.61538461538463, - "Options": "a ) 20 % , b ) 25 % , c ) 30 % , d ) 34.6 % , e ) 40 %", - "Correct": "d", - "Explanation": "\"another method is to use the formula for 2 successive percentage changes : total = a + b + ab / 100 75 = 30 + b + 30 b / 100 b = 34.6 answer ( d )\"" - }, - { - "Answer": 750, - "Options": "a ) 750 , b ) 882 , c ) 772 , d ) 652 , e ) 271", - "Correct": "a", - "Explanation": "\"cost price = rs . 500 profit = 50 % of 500 = rs . 250 selling price = cost price + profit = 500 + 250 = 750 answer : a\"" - }, - { - "Answer": 2700, - "Options": "a ) 2800 , b ) 2700 , c ) 2100 , d ) 2500 , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : total number of votes = 7500 given that 20 % of percentage votes were invalid = > valid votes = 80 % total valid votes = 7500 \u00d7 ( 80 / 100 ) 1 st candidate got 55 % of the total valid votes . hence the 2 nd candidate should have got 45 % of the total valid votes = > valid votes that 2 nd candidate got = total valid votes \u00d7 ( 45 / 100 ) = 7500 \u00d7 ( 80 / 100 ) \u00d7 ( 45 / 100 ) = 75 \u00d7 45 \u00d7 45 = 75 \u00d7 4 \u00d7 9 = 300 \u00d7 9 = 2700 answer : option b\"" - }, - { - "Answer": 1960, - "Options": "a ) 1200 , b ) 1960 , c ) 1600 , d ) 1354 , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : let p . w . be rs . x . then , s . i . on rs . x at 16 % for 9 months = rs . 210 . x \u00e3 \u2014 16 \u00e3 \u2014 ( 9 / 12 ) \u00e3 \u2014 ( 1 / 100 ) = 210 or x = 1750 p . w . = rs . 1750 sum due = p . w . + t . d . = rs . ( 1750 210 ) = rs . 1960 . answer : b\"" - }, - { - "Answer": 1500, - "Options": "a ) 1000 meters , b ) 1050 meters , c ) 1200 meters , d ) 1500 meters , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : we need to get the answer in meters . so we will first of change distance from km / hour to meter / sec by multiplying it with 5 / 18 and also change 15 minutes to seconds by multiplying it with 60 . speed = 6 \u00e2 \u02c6 \u2014 5 / 18 = 5 / 3 m / sec time = 15 \u00e2 \u02c6 \u2014 60 seconds = 900 seconds distance = time \u00e2 \u02c6 \u2014 speed / distance = 5 / 3 \u00e2 \u02c6 \u2014 900 = 1500 meter option d\"" - }, - { - "Answer": 16537.5, - "Options": "a ) $ 16537.50 , b ) $ 24512.56 , c ) $ 18475.89 , d ) $ 15478.56 , e ) $ 12456.35", - "Correct": "a", - "Explanation": "p = $ 15000 r = 10 % p . a . = 5 % t = 2 half years amount = 15000 * ( 1 + 5 / 100 ) ^ 2 = 15000 * 21 / 20 * 21 / 20 = $ 16537.50 answer is a" - }, - { - "Answer": 150, - "Options": "a ) 100 , b ) 110 , c ) 120 , d ) 140 , e ) 150", - "Correct": "e", - "Explanation": "\"75 % of 600 = 75 / 100 \u00d7 600 = 450 therefore , the number of vacant seats = 600 - 450 = 150 . answer : e\"" - }, - { - "Answer": 1680, - "Options": "a ) 1200 , b ) 1764 , c ) 1680 , d ) 1354 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : let p . w . be rs . x . then , s . i . on rs . x at 16 % for 9 months = rs . 180 . x \u00e3 \u2014 16 \u00e3 \u2014 ( 9 / 12 ) \u00e3 \u2014 ( 1 / 100 ) = 180 or x = 1500 . p . w . = rs . 1500 . sum due = p . w . + t . d . = rs . ( 1500 180 ) = rs . 1680 . answer : c\"" - }, - { - "Answer": 10, - "Options": "a ) 8.5 km / hr , b ) 10 km / hr , c ) 12.5 km / hr , d ) 9 km / hr , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : man ' s speed with the current = 15 km / hr = > speed of the man + speed of the current = 15 km / hr speed of the current is 2.5 km / hr hence , speed of the man = 15 - 2.5 = 12.5 km / hr man ' s speed against the current = speed of the man - speed of the current = 12.5 - 2.5 = 10 km / hr answer is b\"" - }, - { - "Answer": 1000, - "Options": "a ) $ 1000 , b ) $ 1020 , c ) $ 1040 , d ) $ 1060 , e ) $ 1080", - "Correct": "a", - "Explanation": "\"let x be the cost price . 1.2 x = 1200 x = 1200 / 1.2 = 1000 the answer is a .\"" - }, - { - "Answer": 18.7, - "Options": "a ) a ) 18.7 , b ) b ) 20 , c ) c ) 21.3 , d ) d ) 21.5 , e ) e ) 22", - "Correct": "a", - "Explanation": "\"total cost of the items he purchased = rs . 25 given that out of this rs . 25 , 30 paise is given as tax = > total tax incurred = 30 paise = rs . 30 / 100 let the cost of the tax free items = x given that tax rate = 5 % \u2234 ( 25 \u2212 30 / 100 \u2212 x ) 5 / 100 = 30 / 100 \u21d2 5 ( 25 \u2212 0.3 \u2212 x ) = 30 \u21d2 ( 25 \u2212 0.3 \u2212 x ) = 6 \u21d2 x = 25 \u2212 0.3 \u2212 6 = 18.7 a\"" - }, - { - "Answer": 64, - "Options": "a ) 25 , b ) 19 , c ) 39 , d ) 61 , e ) 64", - "Correct": "e", - "Explanation": "\"let the required number of bottles be x . more weavers , more mats ( direct proportion ) more days , more mats ( direct proportion ) wavers 4 : 16 : : 4 : x days 4 : 16 4 * 4 * x = 16 * 16 * 4 x = ( 16 * 16 * 4 ) / ( 4 x 4 ) x = 64 . answer is e .\"" - }, - { - "Answer": 65, - "Options": "a ) 4 % , b ) 10 % , c ) 96 % , d ) 90 % , e ) 65 %", - "Correct": "e", - "Explanation": "\"no of employees = 100 ( say ) men = 60 women = 40 men speaking french = 0.6 * 60 = 36 employees speaking french = 0.5 * 100 = 50 therefore women speaking french = 50 - 36 = 14 and women not speaking french = 40 - 14 = 26 % of women not speaking french = 26 / 40 * 100 = 65 % answer e\"" - }, - { - "Answer": 3375.0000000000005, - "Options": "a ) rs . 2250 , b ) rs . 3375 , c ) rs . 6750 , d ) rs . 5625 , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : let the investment of c be rs . x . the inverstment of b = rs . ( 2 x / 3 ) the inverstment of a = rs . ( 3 \u00d7 ( 2 / 3 ) x ) = rs . ( 2 x ) ratio of capitals of a , b and c = 2 x : 2 x / 3 : x = 6 : 2 : 3 c ' s share = rs . [ ( 3 / 11 ) \u00d7 12375 ] = rs . 3375 answer : option b\"" - }, - { - "Answer": 20, - "Options": "a ) 24 % , b ) 20 % , c ) 26 % , d ) 28 % , e ) 35 %", - "Correct": "b", - "Explanation": "\"if the total quantity was 100 then 40 x 20 % + 60 x 20 % = 20 this profit will remain same for any total quantity unless the % of products remains the same . hence ' b ' is the answer\"" - }, - { - "Answer": 250, - "Options": "a ) 90 , b ) 180 , c ) 250 , d ) 500 , e ) 1,000", - "Correct": "c", - "Explanation": "\"let total number of female officers in the police force = f total number of officers on duty on that night = 100 number of female officers on duty on that night = 100 / 2 = 50 ( 20 / 100 ) * f = 50 = > f = 250 answer c\"" - }, - { - "Answer": 42.5, - "Options": "a ) 10.22 % , b ) 20.22 % , c ) 21.22 % , d ) 42.5 % , e ) ca n ' t be calculated", - "Correct": "d", - "Explanation": "the owner buys 100 kg but actually gets 114 kg ; the owner sells 100 kg but actually gives 80 kg ; profit : ( 114 - 80 ) / 80 * 100 = ~ 42.5 % answer : d ." - }, - { - "Answer": 54.83870967741935, - "Options": "a ) 54.84 % , b ) 36.5 % , c ) 46.5 % , d ) 56.5 % , e ) 66.5 %", - "Correct": "a", - "Explanation": "\"let n be the total number of books sold . hence n = 50 + 82 + 64 + 78 + 135 = 280 let m be the books not sold m = 620 - n = 620 - 280 = 340 percentage books not sold / total number of books = 340 / 620 = 0.55 = 54.84 % correct answer a\"" - }, - { - "Answer": 15, - "Options": "a ) 14 , b ) 15 , c ) 61 , d ) 17 , e ) 18", - "Correct": "b", - "Explanation": "\"dividend on rs . 20 = rs . ( 9 / 100 ) x 20 = rs . 9 / 5 . rs . 12 is an income on rs . 100 . rs . 9 / 5 is an income on rs . [ ( 100 / 12 ) x ( 9 / 5 ) ] = rs . 15 ? answer : b\"" - }, - { - "Answer": 34.2, - "Options": "a ) 72 , b ) 27 , c ) 34 , d ) 28 , e ) 20", - "Correct": "c", - "Explanation": "\"684 * ( 20 / 100 ) = 136 - - - - 4 ? - - - - 1 = > rs . 34 answer : c\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 32.5 % , b ) 34 % , c ) 22.5 % , d ) 33.3 % , e ) 37.5 %", - "Correct": "d", - "Explanation": "\"say morks income is - 100 so tax paid will be 40 say mindys income is 2 * 100 = 200 so tax paid is 30 % * 200 = 60 total tax paid = 40 + 60 = 100 . combined tax % will be 100 / 100 + 200 = 33.3 %\"" - }, - { - "Answer": 5000, - "Options": "a ) rs . 5000 , b ) rs . 6000 , c ) rs . 4000 , d ) rs . 3000 , e ) rs . 2000", - "Correct": "a", - "Explanation": "\"sol . saving = [ 100 - ( 40 + 20 + 10 + 10 ] % = 20 % . let the monthly salary be rs . x . then , 20 % of x = 1000 \u00e2 \u2021 \u201d 20 / 100 x = 1000 \u00e2 \u2021 \u201d x = 1000 \u00e3 \u2014 5 = 5000 . answer a\"" - }, - { - "Answer": 24, - "Options": "a ) 22 , b ) 23 , c ) 24 , d ) 25 , e ) 26", - "Correct": "c", - "Explanation": "let ' s say 1 work is processing 72 gb of data . model x : 1 gb per min model y : 2 gb per min working together , 1 x and 1 y = 3 gb per min so , 24 times as many computers would work at 72 gb per min . so no . of x = 24 answer is c" - }, - { - "Answer": 34, - "Options": "a ) 34 % , b ) 24 % , c ) 22 % , d ) 18 % , e ) 8.5 %", - "Correct": "a", - "Explanation": "\"et 100 be the total volume . total salt = 10 salt taken out = 10 / 4 = 2.5 to make solution 16 % , total salt = 16 salt added = 16 - 7.5 = 8.5 solution had = 8.5 / 25 * 100 = 34 % sugar answer : a\"" - }, - { - "Answer": 2000, - "Options": "a ) s : 2000 , b ) s : 1067 , c ) s : 1278 , d ) s : 1028 , e ) s : 1027", - "Correct": "a", - "Explanation": "\"90 % 104 % - - - - - - - - 14 % - - - - 280 100 % - - - - ? = > rs : 2000 answer : a\"" - }, - { - "Answer": 5, - "Options": "a ) 5 kmph , b ) 2 kmph , c ) 7 kmph , d ) 8 kmph , e ) 3 kmph", - "Correct": "a", - "Explanation": "\"ds = 18 us = 8 s = ? s = ( 18 - 8 ) / 2 = 5 kmph answer : a\"" - }, - { - "Answer": 1800, - "Options": "a ) 1500 , b ) 1800 . , c ) 1900 , d ) 1700 , e ) 1660", - "Correct": "b", - "Explanation": "final number = initial number + 20 % ( original number ) = 1500 + 20 % ( 1500 ) = 1500 + 300 = 1800 . answer b" - }, - { - "Answer": 2000.0000000000002, - "Options": "a ) 2277 , b ) 2999 , c ) 1000 , d ) 2651 , e ) 2000", - "Correct": "e", - "Explanation": "\"x * ( 110 / 100 ) * ( 95 / 100 ) = 2090 x * ( 11 / 10 ) * ( 1 / 100 ) = 22 x = 2000 answer : e\"" - }, - { - "Answer": 0.9600000000000001, - "Options": "a ) $ 0.94 , b ) $ 0.96 , c ) $ 0.98 , d ) $ 1.00 , e ) $ 1.20", - "Correct": "b", - "Explanation": "\"assume the manager bought 100 tomatoes . cost price = 80 given : 10 % are damaged - - > available tomatoes to sell = 90 90 * x - 80 = 0.08 * 80 90 x - 80 = 6.4 90 x = 86.64 x = 86.64 / 90 = 87 / 90 ( approx ) = 29 / 30 = 0.966 x is slightly under 0.9666 = 0.96 answer : b\"" - }, - { - "Answer": 200, - "Options": "a ) 120 , b ) 200 , c ) 180 , d ) 300 , e ) 140", - "Correct": "b", - "Explanation": "\"( 30 / 100 ) * x \u2013 ( 60 / 100 ) * 50 = 30 2 / 7 x = 60 x = 200 answer : b\"" - }, - { - "Answer": 105, - "Options": "a ) 105 kg , b ) 145 kg , c ) 165 kg , d ) 115 kg , e ) 100 kg", - "Correct": "a", - "Explanation": "\"a 105 kg = 250 \u00e3 \u2014 0.7 \u00e3 \u2014 0.8 \u00e3 \u2014 0.75 .\"" - }, - { - "Answer": 4, - "Options": "a ) 0.004 % , b ) 0.04 % , c ) 0.40 % , d ) 4 % , e ) 40 %", - "Correct": "d", - "Explanation": "\"total amount of water evaporated each day during a 50 - day period = . 008 * 50 = . 008 * 100 / 2 = . 8 / 2 = . 4 percent of the original amount of water evaporated during this period = ( . 4 / 10 ) * 100 % = 4 % answer d\"" - }, - { - "Answer": 10, - "Options": "a ) 3 gallons , b ) 4 gallons , c ) 5 gallons , d ) 10 gallons , e ) 12 gallons", - "Correct": "d", - "Explanation": "let a = number of gallons on mixture a in 15 gallon mixture b = number of gallons on mixture b in 15 gallon mixture ( 20 / 100 ) a + ( 50 / 100 ) b = ( 30 / 100 ) ( a + b ) - - 1 a + b = 15 - - 2 on solving equations 1 and 2 , we get a = 10 b = 5 answer d 10 gallons" - }, - { - "Answer": 20, - "Options": "a ) 30 % , b ) 40 % , c ) 85 % , d ) 19 % , e ) 20 %", - "Correct": "e", - "Explanation": "\u00e2 \u02c6 \u0161 4 % = > \u00e2 \u02c6 \u0161 4 / \u00e2 \u02c6 \u0161 100 = > 2 / 10 = > 20 / 100 = > 20 % e" - }, - { - "Answer": 72, - "Options": "a ) 72 % , b ) 70 % , c ) 52 % , d ) 50 % , e ) 28 %", - "Correct": "a", - "Explanation": "\"just assume original price is 100 . sale price = 80 then it is marked down by 10 % = 80 - 8 = 72 . hence it is 72 % of the original price . hence answer is a\"" - }, - { - "Answer": 6, - "Options": "a ) 3 % , b ) 4 % , c ) 5 % , d ) 6 % , e ) 7 %", - "Correct": "d", - "Explanation": "\"explanation : let rate will be r % 1200 ( 1 + r / 100 ) 2 = 134832 / 100 ( 1 + r / 100 ) 2 = 134832 / 120000 ( 1 + r / 100 ) 2 = 11236 / 10000 ( 1 + r / 100 ) = 106 / 100 = > r = 6 % option d\"" - }, - { - "Answer": 908, - "Options": "a ) 1000 , b ) 908 , c ) 930 , d ) 1075 , e ) 1080", - "Correct": "b", - "Explanation": "\"cost of 7 kg grapes = 68 \u00d7 7 = 476 . cost of 9 kg of mangoes = 48 \u00d7 9 = 432 . total cost he has to pay = 476 + 432 = 908 b\"" - }, - { - "Answer": 90, - "Options": "a ) rs . 72 , b ) rs . 78 , c ) rs . 80 , d ) rs . 90 , e ) rs . 92", - "Correct": "d", - "Explanation": "sp = 144 cp = x profit % = x c . p . = ( 100 / ( 100 + gain % ) ) * s . p . x = ( 100 / 100 + x ) * 144 x ^ 2 + 100 x = 14400 x ^ 2 + 180 x - 80 x - 14400 = 0 ( x + 180 ) ( x - 80 ) = 0 x = - 180 x = 80 answer : d" - }, - { - "Answer": 24, - "Options": "a ) 52 sec , b ) 45 sec , c ) 60 sec , d ) 24 sec , e ) 39 sec", - "Correct": "d", - "Explanation": "\"speed = 12 km / hr = 12 * 5 / 18 = 10 / 3 m / sec distance = 20 * 4 = 80 m time taken = 80 * 3 / 10 = 24 sec answer is d\"" - }, - { - "Answer": 6.222222222222222, - "Options": "a ) $ 11 , b ) $ 5 , c ) $ 45 , d ) $ 400 , e ) $ 6.2", - "Correct": "e", - "Explanation": "price decreased by 10 % , so 9 / 10 times , which means that original gallons bought increased 10 / 9 times . since this increase equals to 5 gallons then 45 gallons were bought originally ( 45 * 10 / 9 = 50 - - > increase 5 gallons ) . hence original price was 280 / 45 = $ 6.2 answer : e ." - }, - { - "Answer": 8112.000000000001, - "Options": "a ) rs . 8082 , b ) rs . 7800 , c ) rs . 8100 , d ) rs . 8112 , e ) none", - "Correct": "d", - "Explanation": "\"explanation : amount = rs . [ 7500 ( 1 + 4 / 100 ) 2 ] = rs . [ 7500 \u00d7 26 / 25 \u00d7 26 / 25 ] = rs . 8112 . correct option : d\"" - }, - { - "Answer": 3.9999999999999147, - "Options": "a ) 8 , b ) 3 , c ) 9 , d ) 4 , e ) 2", - "Correct": "d", - "Explanation": "\"s . i . = ( 1600 * 10 * 1 ) / 100 = rs . 160 c . i . = [ 1600 * ( 1 + 5 / 100 ) 2 - 1600 ] = rs . 164 difference = ( 164 - 160 ) = rs . 4 . answer : d\"" - }, - { - "Answer": 150, - "Options": "a ) 167.5 , b ) 150 , c ) 225 , d ) 112.5 , e ) 212.5", - "Correct": "b", - "Explanation": "\"explanation : the person borrows rs . 5000 for 2 years at 4 % p . a . simple interest simple interest that he needs to pay = prt / 100 = 5000 \u00d7 4 \u00d7 2 / 100 = 400 he also lends it at 7 % p . a for 2 years simple interest that he gets = prt / 100 = 5000 \u00d7 7 \u00d7 2 / 100 = 700 his overall gain in 2 years = rs . 700 - rs . 400 = rs . 300 his overall gain in 1 year = 300 / 2 = rs . 150 answer : option b\"" - }, - { - "Answer": 168, - "Options": "a ) 168 , b ) 150 , c ) 180 , d ) 200 , e ) 250", - "Correct": "a", - "Explanation": "\"explanation : ( 1 / 4 ) * ( 1 / 3 ) * ( 2 / 5 ) * x = 14 then x = 14 * 30 = 420 40 % of 420 = 168 answer : option a\"" - }, - { - "Answer": 315, - "Options": "a ) 320 , b ) 300 , c ) 310 , d ) 315 , e ) 330", - "Correct": "d", - "Explanation": "\"( 3500 * 3 * 3 ) / 100 = > 315 answer : d\"" - }, - { - "Answer": 41, - "Options": "a ) 27.5 % , b ) 30 % , c ) 35 % , d ) 37.5 % , e ) 41 %", - "Correct": "e", - "Explanation": "\"assume the total price = 100 x price after 20 % markup = 120 x price after 25 % further markup = 1.25 * 120 x = 150 x price after the discount = 0.94 * 150 x = 141 x hence total profit = 41 % option e\"" - }, - { - "Answer": 15000, - "Options": "a ) 30,000 , b ) 15,450 , c ) 45,000 , d ) 60,000 , e ) 15,000", - "Correct": "e", - "Explanation": "\"total # of votes cast = 100 x , out of these , let the # of votes won by the winner = w , and for the loser ( l ) = 100 x - w . given that w - ( 100 x - w ) = 10 % of total votes cast = 10 x thus , 2 w - 100 x = 10 x \u2192 \u2192 w = 55 x and l = 100 x - 55 x = 45 x . according to the new condition , if the loser had won 45 x + 1500 votes , then , ( 45 x + 1500 ) - ( 55 x - 1500 ) = 10 % of total votes cast = 10 x thus , 3000 = 20 x and 100 x = 15000 answer : e\"" - }, - { - "Answer": 231.2, - "Options": "a ) 298 , b ) 231 , c ) 342 , d ) 876 , e ) 291", - "Correct": "b", - "Explanation": "\"340 * ( 80 / 100 ) * ( 85 / 100 ) = 231 answer : b\"" - }, - { - "Answer": 86, - "Options": "a ) 80 , b ) 86 , c ) 92 , d ) 98 , e ) 104", - "Correct": "b", - "Explanation": "\"l + k = 150 and so k = 150 - l l + 10 = 1.5 k = 1.5 ( 150 - l ) 2.5 l = 215 l = 86 the answer is b .\"" - }, - { - "Answer": 37.5, - "Options": "a ) 37.5 % , b ) 37.6 % , c ) 38.5 % , d ) 17.5 % , e ) 37.2 %", - "Correct": "a", - "Explanation": "\"let marked price = rs . 100 . then , c . p . = rs . 64 , s . p . = rs . 88 gain % = 24 / 64 * 100 = 37.5 % . answer : a\"" - }, - { - "Answer": 1280, - "Options": "a ) 1410 , b ) 1420 , c ) 1430 , d ) 1440 , e ) 1280", - "Correct": "e", - "Explanation": "\"s . p . = 80 % of rs . 1600 = 80 / 100 x 1600 = rs . 1280 answer : e\"" - }, - { - "Answer": 500.00000000000006, - "Options": "a ) $ 440 , b ) $ 460 , c ) $ 480 , d ) $ 500 , e ) $ 520", - "Correct": "d", - "Explanation": "\"let x be the amount of money we started with . 0.7 x = 350 x = 500 the answer is d .\"" - }, - { - "Answer": 37, - "Options": "a ) 28 % , b ) 37 % , c ) 32 % , d ) 36 % , e ) 72 %", - "Correct": "b", - "Explanation": "\"consider the initial value of the baseball card as $ 100 after first year price = 100 * 0.7 = 70 after second year price = 70 * 0.9 = 63 final decrease = [ ( 100 - 63 ) / 100 ] * 100 = 37 % correct answer - b\"" - }, - { - "Answer": 200, - "Options": "a ) 344 , b ) 218 , c ) 200 , d ) 388 , e ) 211", - "Correct": "c", - "Explanation": "\"explanation : let original cost price is x its selling price = ( 105 / 100 ) * x = 21 x / 20 new cost price = ( 95 / 100 ) * x = 19 x / 20 new selling price = ( 110 / 100 ) * ( 19 x / 20 ) = 209 x / 200 [ ( 21 x / 20 ) - ( 209 x / 200 ) ] = 1 = > x = 200 answer : c ) rs 200\"" - }, - { - "Answer": 20000, - "Options": "a ) 16000 , b ) 20000 , c ) 15000 , d ) 18000 , e ) 17000", - "Correct": "b", - "Explanation": "let the cp be $ x . had he offered 10 % discount , profit = 8 % profit = 8 / 100 x and hence his sp = x + 8 / 100 x = $ 1.08 x = 20000 - 10 / 100 ( 20000 ) = 20000 - 2000 = $ 21600 = > 1.08 x = 21600 = > x = 20000 b" - }, - { - "Answer": 83.33333333333334, - "Options": "a ) $ 120 , b ) $ 100 , c ) $ 91 , d ) $ 83 , e ) $ 69", - "Correct": "d", - "Explanation": "\"cost price = selling price * 100 / ( 100 + profit ) c . p . = 100 * 100 / 120 = $ 83 ( approximately ) answer is d\"" - }, - { - "Answer": 499.99999999999994, - "Options": "a ) 250 , b ) 500 , c ) 450 , d ) 500 , e ) 520", - "Correct": "b", - "Explanation": "\"formula = total = 100 % , increse = ` ` + ' ' decrease = ` ` - ' ' a number means = 100 % that same number increased by 10 % = 110 % 110 % - - - - - - - > 550 ( 110 \u00d7 5 = 550 ) 100 % - - - - - - - > 500 ( 100 \u00d7 5 = 500 ) b )\"" - }, - { - "Answer": 20.000000000000007, - "Options": "a ) 8 % , b ) 1 % , c ) 20 % , d ) 80 % , e ) none", - "Correct": "c", - "Explanation": "answer let the business value change from a to b . then , 4 % of a = 5 % of b \u21d2 4 a / 100 = 5 b / 100 \u21d2 b = 4 a / 5 \u2234 change in business = ( a - 4 a / 5 ) = a / 5 percentage slump in business = { ( a / 5 ) / a } x 100 % = 20 % correct option : c" - }, - { - "Answer": 837, - "Options": "a ) 456 , b ) 837 , c ) 912 , d ) 1200 , e ) 1400", - "Correct": "b", - "Explanation": "\"w = 62 % l = 38 % 62 % - 38 % = 24 % 24 % - - - - - - - - 324 62 % - - - - - - - - ? = > 837 answer : b\"" - }, - { - "Answer": 1, - "Options": "a ) 0.1 % , b ) 1 % , c ) 7 % , d ) 10 % , e ) noneof these", - "Correct": "b", - "Explanation": "solution 11.1 gain % = ( 0.70 / 70 x 100 ) % = 1 % . answer b" - }, - { - "Answer": 600, - "Options": "a ) 400 , b ) 600 , c ) 800 , d ) 1000 , e ) 1200", - "Correct": "b", - "Explanation": "let v be the total number of votes . 0.4 v = 240 v = 600 the answer is b ." - }, - { - "Answer": 500, - "Options": "a ) 500 , b ) 650 , c ) 800 , d ) 950 , e ) 1100", - "Correct": "a", - "Explanation": "\"let x be the number of female police officers on the police force . the number of female police officers on duty was 80 . 0.16 x = 80 x = 500 the answer is a .\"" - }, - { - "Answer": 9, - "Options": "a ) 83 % , b ) 80 % , c ) 20 % , d ) 17 % , e ) 9 %", - "Correct": "e", - "Explanation": "let ' s say he works usually 10 hours and earns 100 per hour . 10 * 100 = 1000 10 * 110 = 1100 ( this are the new earnings after the raise ) to figure out how much he needs to work with the new salary in order to earn the original 1000 : 1000 / 110 = 9.09 so he can reduce his work by 0.91 hours . which is > 9 % . answer e" - }, - { - "Answer": 2.1428571428571423, - "Options": "a ) 1.5 , b ) 1.75 , c ) 2.14 , d ) 2.34 , e ) 2.64", - "Correct": "c", - "Explanation": "\"let the total solution is 150 l with 80 l water 70 l syrup . to make 10 % syrup solution , the result solution must have 135 l syrup and 15 l syrup . therefore we are taking 55 l of syrup from initial solution and replacing with water . using urinary method : 70 l syrup in 150 l solution 55 l syrup in 117.9 l solution we started by multiplying 10 now to get to the result we need to divide by 55 = > amount of solution to be replaced with water = ( 117.9 / 55 ) = 2.14 . correct option : c\"" - }, - { - "Answer": 22, - "Options": "a ) 5 % , b ) 10 % , c ) 16 % , d ) 22 % , e ) none of these", - "Correct": "d", - "Explanation": "explanation : the number of female engineering students in the class is ( 20 / 100 ) \u00d7 100 = 20 . now , 25 % of the female engineering students passed the final exam : 25 . hence , the number of female engineering students who passed is 5 . there are 120 male students in the class . and 25 % of them are engineering students . hence , the number of male engineering students is ( 1 / 4 ) \u00d7 120 = 30 . now , 20 % of the male engineering students passed the final exam : - 20 . hence , the number of male engineering students who passed is 6 . hence , the total number of engineering students who passed is : ( female engineering students who passed ) + ( male engineering students who passed ) = > 5 + 6 = 11 . the total number of engineering students in the class is : ( number of female engineering students ) + ( number of male engineering students ) = = > 30 + 20 = 50 hence , the percentage of engineering students who passed is : - = > ( total number of engineering students passed / total number of engineering students ) \u00d7 100 . = > ( 11 / 50 ) \u00d7 100 . = > 22 % . answer : d" - }, - { - "Answer": 12.5, - "Options": "a ) 12.5 % , b ) 11 % , c ) 13 % , d ) 15 % , e ) 12.8 %", - "Correct": "a", - "Explanation": "\"2400 - - - - 300 100 - - - - ? = > 12.5 % answer : a\"" - }, - { - "Answer": 55.000000000000014, - "Options": "a ) 20 , b ) 30 , c ) 35 , d ) 40 , e ) 55", - "Correct": "e", - "Explanation": "\"there are 11 books less ( 75 - 64 ) which represents 20 % of the loaned books ( 100 - 80 ) so total loaned out books = 55 answer e\"" - }, - { - "Answer": 28, - "Options": "a ) 11 , b ) 15 , c ) 16 , d ) 28 , e ) 19", - "Correct": "d", - "Explanation": "\"speed ratio = 1 : 7 / 6 = 6 : 7 time ratio = 7 : 6 1 - - - - - - - - 7 4 - - - - - - - - - ? \u00e8 28 m answer : d\"" - }, - { - "Answer": 19.2, - "Options": "a ) 23.75 , b ) 22 , c ) 20 , d ) 19.2 , e ) none of these", - "Correct": "d", - "Explanation": "\"c . p . of mixture = 80 \u00d7 15 + 20 \u00d7 20 / 80 + 20 = 16 \u2234 s . p . = ( 100 + 20 ) / 100 \u00d7 16 = 19.2 answer d\"" - }, - { - "Answer": 0.46153846153846156, - "Options": "a ) 6 / 13 , b ) 5 / 9 , c ) 1 / 24 , d ) 4 / 9 , e ) 2 / 5", - "Correct": "a", - "Explanation": "\"an empty wooden vessel weighs 14 % of its total weight when filled with paint : vessel = 0.14 ( vessel + paint ) ; 14 v = v + p ( so the weight of completely filled vessel is 14 v ) p = 13 v ( so the weight of the paint when the vessels is completely filled is 13 v ) . the weight of a partially filled vessel is one half that of a completely filled vessel : v + p ' = 1 / 2 * 14 v ; p ' = 6 v ( so the weight of the paint when the vessels is partially filled is 6 v ) . what fraction of the vessel is filled ? so , we need to find the ratio of the weight of the paint when the vessel iscompletely filledto the weight of the paint when the vessel ispartially filled : p ' / p = 6 v / 13 v = 6 / 13 . answer : a .\"" - }, - { - "Answer": 12000, - "Options": "a ) 12100 , b ) 14400 , c ) 14500 , d ) 14600 , e ) 14700", - "Correct": "a", - "Explanation": "\"formula : 10000 \u00d7 110 / 100 \u00d7 110 / 100 = 12100 answer : a\"" - }, - { - "Answer": 700, - "Options": "a ) 337 , b ) 500 , c ) 700 , d ) 288 , e ) 211", - "Correct": "c", - "Explanation": "\"70 = ( p * 4 * 5 / 2 ) / 100 p = 700 answer : c\"" - }, - { - "Answer": 1120, - "Options": "a ) rs . 1090 , b ) rs . 1160 , c ) rs . 1120 , d ) rs . 1202 , e ) none", - "Correct": "c", - "Explanation": "\"solution s . p = 80 % of rs . 1400 = rs . ( 80 / 100 \u00d7 1400 ) rs . 1120 . answer c\"" - }, - { - "Answer": 9.2, - "Options": "a ) 8.8 % , b ) 9 % , c ) 9.2 % , d ) 8.6 % , e ) 8.4 %", - "Correct": "c", - "Explanation": "the amount of chromium in the new 15 + 35 = 50 kg alloy is 0.12 * 15 + 0.08 * 35 = 4.6 kg , so the percentage is 4.6 / 50 * 100 = 9.2 % . answer : c ." - }, - { - "Answer": 46, - "Options": "a ) 277 , b ) 36 , c ) 64 , d ) 72 , e ) 46", - "Correct": "e", - "Explanation": "\"? % of 360 = 165.6 or , ? = 165.6 \u00d7 100 / 360 = 46 answer e\"" - }, - { - "Answer": 240, - "Options": "a ) 100 , b ) 110 , c ) 120 , d ) 140 , e ) 240", - "Correct": "e", - "Explanation": "\"75 % of 600 = 60 / 100 \u00d7 600 = 360 therefore , the number of vacant seats = 600 - 360 = 240 . answer : e\"" - }, - { - "Answer": 34.99999562500055, - "Options": "a ) 45 , b ) 35 , c ) 40 , d ) 50 , e ) 48", - "Correct": "b", - "Explanation": "\"production cost per article : $ 60 * ( 100 % - 20 % ) / 20 = $ 2.40 required production costs for a loss of 20 % : $ 70 * ( 100 % + 20 % ) = $ 84 number of articles to be sold for $ 84 to incur a 20 % loss : $ 84 / $ 2.40 = 35 thus , solution b is correct .\"" - }, - { - "Answer": 19.99999999999997, - "Options": "a ) 20 % , b ) 30 % , c ) 40 % , d ) 50 % , e ) 60 %", - "Correct": "a", - "Explanation": "\"60 % is 20 % - points below 80 % and 5 % - points above 55 % . so the ratio of solution p to solution q is 1 : 4 . mixture p is 1 / 5 = 20 % of the volume of mixture pq . the answer is a .\"" - }, - { - "Answer": 15, - "Options": "a ) 10 % , b ) 15 % , c ) 25 % , d ) 20 % , e ) 30 %", - "Correct": "b", - "Explanation": "\"c . p . = $ 100 s . p . = $ 115 gain = $ 15 gain % = 15 / 100 * 100 = 25 % answer is b\"" - }, - { - "Answer": 7.142857142857142, - "Options": "a ) 4 % , b ) 7.14 % , c ) 2 6 / 7 % , d ) 5 % , e ) 6 %", - "Correct": "b", - "Explanation": "\"explanation : 250 = ( 1750 x 2 xr ) / 100 r = 7.14 % answer : option b\"" - }, - { - "Answer": 32, - "Options": "a ) 277 , b ) 36 , c ) 64 , d ) 32 , e ) none of these", - "Correct": "d", - "Explanation": "? % of 360 = 115.2 or , ? = 115.2 \u00d7 100 / 360 = 32 answer d" - }, - { - "Answer": 14, - "Options": "a ) 14 , b ) 28 , c ) 99 , d ) 77 , e ) 66", - "Correct": "a", - "Explanation": "\"speed ratio = 1 : 7 / 6 = 6 : 7 time ratio = 7 : 6 1 - - - - - - - - 7 2 - - - - - - - - - ? 14 m answer : a\"" - }, - { - "Answer": 900, - "Options": "a ) 600 , b ) 700 , c ) 800 , d ) 900 , e ) 1000", - "Correct": "d", - "Explanation": "\"let the capital of pyarelal be x , then capital of ashok = x / 9 so ratio of investment of pyarelal and ashok = x : x / 9 = 9 x : x hence out of the total loss of 1000 , loss of pyarelal = 1000 * 9 x / 10 x = 900 answer : d\"" - }, - { - "Answer": 112.00000000000001, - "Options": "a ) 80 % , b ) 105 % , c ) 120 % , d ) 112 % , e ) 138 %", - "Correct": "d", - "Explanation": "\"0,112 r = x / 100 * 0.1 r answer d\"" - }, - { - "Answer": 375, - "Options": "a ) 375 , b ) 420 , c ) 480 , d ) 500 , e ) 600", - "Correct": "a", - "Explanation": "\"minimum no of mail to be sent for getting 300 responses at 80 % = 300 / 0.8 = 375 option a\"" - }, - { - "Answer": 6, - "Options": "a ) 8 , b ) 9 , c ) 7 , d ) 4 , e ) 6", - "Correct": "e", - "Explanation": "\"80 % - - - 9 120 % - - - ? 80 / 120 * 9 = 6 answer : e\"" - }, - { - "Answer": 228, - "Options": "a ) 100 , b ) 110 , c ) 120 , d ) 140 , e ) 228", - "Correct": "e", - "Explanation": "\"75 % of 600 = 62 / 100 \u00d7 600 = 372 therefore , the number of vacant seats = 600 - 372 = 228 . answer : e\"" - }, - { - "Answer": 234, - "Options": "a ) s 234 , b ) s 216 , c ) s 220 , d ) s 210 , e ) s 217", - "Correct": "a", - "Explanation": "\"explanation : total cost of a watch = 190 + ( 500 / 100 ) = 195 . gain = 20 % = > sp = 1.2 cp = 1.2 x 195 = 234 answer : a\"" - }, - { - "Answer": 1.08, - "Options": "a ) $ 0.94 , b ) $ 0.96 , c ) $ 0.98 , d ) $ 1.00 , e ) $ 1.09", - "Correct": "e", - "Explanation": "\"assume the manager bought 100 tomatoes . cost price = 80 given : 20 % are damaged - - > available tomatoes to sell = 80 80 * x - 80 = 0.08 * 80 80 x - 80 = 6.4 80 x = 86.64 x = 86.64 / 80 = 87 / 80 ( approx ) = 1.0875 x is slightly under 1.0875 = 1.09 answer : e\"" - }, - { - "Answer": 26775, - "Options": "a ) 26775 , b ) 28772 , c ) 28821 , d ) 89255 , e ) 28871", - "Correct": "a", - "Explanation": "\"principal = ( 100 * 4016.25 ) / ( 3 * 5 ) = rs . 26775 . answer : a\"" - }, - { - "Answer": 15, - "Options": "a ) 15 , b ) 20 , c ) 30 , d ) 35 , e ) 45", - "Correct": "a", - "Explanation": "s = 100 not ( q and b ) = 35 only q = 20 ( q and b ) / b = 1 / 2 let ( q and b ) = x only b = 2 x so now , 20 + 35 + x + 2 x = 100 x = 15 a ans" - }, - { - "Answer": 60, - "Options": "a ) 10 % , b ) 20 % , c ) 40 % , d ) 50 % , e ) 60 %", - "Correct": "e", - "Explanation": "\"explanation : change in the price = rs 480 \u00e2 \u20ac \u201c rs 300 = rs 180 percentage of increase = change in the price initial price * 100 . percentage increase in price = ( 180 300 ) * 100 = 60 % e\"" - }, - { - "Answer": 150, - "Options": "a ) 9 % , b ) 10 % , c ) 110 % , d ) 120 % , e ) 150 %", - "Correct": "e", - "Explanation": "\"x discount on pony jeans , ( 0.5 - x ) discount on fox jeans . set the equation : 3 * 15 ( 0.5 - x ) + 2 * 18 x = 9 - - > x = 1.5 = 150 % answer : e .\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 10 % , b ) 9 % , c ) 33.33 % , d ) 12 % , e ) none of these", - "Correct": "c", - "Explanation": "shopkeeper sells 750 g instead of 1000 g . so , his gain = 1000 - 750 = 250 g . thus , % gain = ( 250 * 100 ) / 750 = 33.33 % . answer : option c" - }, - { - "Answer": 24475, - "Options": "a ) 34778 , b ) 26888 , c ) 24475 , d ) 17600 , e ) 12778", - "Correct": "c", - "Explanation": "\"price at which the tv set is bought = rs . 17,500 discount offered = 20 % marked price = 17500 * 100 / 80 = rs . 21875 the total amount spent on transport and installation = 125 + 250 = rs . 375 \\ total price of tv set = 21875 + 375 = rs . 22250 the price at which the tv should be sold to get a profit of 10 % if no discount was offered = 22250 * 110 / 100 = rs . 24475 answer : c\"" - }, - { - "Answer": 705, - "Options": "a ) a ) 700 , b ) b ) 1065 , c ) c ) 1070 , d ) d ) 1075 , e ) e ) 1080", - "Correct": "a", - "Explanation": "\"cost of 3 kg grapes = 70 \u00d7 3 = 210 . cost of 9 kg of mangoes = 55 \u00d7 9 = 490 . total cost he has to pay = 210 + 490 = 700 a\"" - }, - { - "Answer": 51.25, - "Options": "a ) $ 50 , b ) $ 51.5 , c ) $ 52 , d ) $ 52.5 , e ) $ 51.25", - "Correct": "e", - "Explanation": "\"sum = 50 x 100 / ( 2 x 5 ) = 500 = 500 x ( 1 + 5 / 100 ) ^ 2 = 500 x 21 / 20 x 21 / 20 = 551.25 . c . i = 551.25 - 500 = 51.25 . answer e ) $ 51.25\"" - }, - { - "Answer": 49.69230769230769, - "Options": "a ) 45 % , b ) 49 % , c ) 50 % , d ) 59 % , e ) 61 %", - "Correct": "c", - "Explanation": "\"total number of votes polled = ( 4136 + 7636 + 11628 ) = 23400 so , required percentage = 11628 / 23400 * 100 = 50 % c\"" - }, - { - "Answer": 166.66666666666666, - "Options": "a ) a ) 215 , b ) b ) 166 , c ) c ) 230 , d ) d ) 235 , e ) e ) 240", - "Correct": "b", - "Explanation": "sp = 120 % of cp ; : . cp = 200 \u00d7 100 / 120 = 166 option ' b '" - }, - { - "Answer": 43.99999999999999, - "Options": "a ) 20 % , b ) 36 % , c ) 44 % , d ) 50 % , e ) 64 %", - "Correct": "c", - "Explanation": "\"let the radius of medium pizza be r . then the radius of large pizza is 1.2 r . the area of the medium pizza is pi * r ^ 2 the area of the large pizza is pi * ( 1.2 * r ) ^ 2 = 1.44 * pi * r ^ 2 , an increase of 44 % . the answer is c .\"" - }, - { - "Answer": 320, - "Options": "a ) 5 % , b ) 20 % , c ) 320 % , d ) 200 % , e ) 500 %", - "Correct": "c", - "Explanation": "\"50 * x = 160 - - > x = 3.2 - - > 3.2 expressed as percent is 320 % . answer : c .\"" - }, - { - "Answer": 88.88888888888889, - "Options": "a ) 66 % , b ) 75 % , c ) 89 % , d ) 116 % , e ) 150 %", - "Correct": "c", - "Explanation": "\"let the price of company a ' s assets be 100 price of assets of kw is 60 % more than company a ' s assets which is 160 price of assets of kw is 100 % more than company b ' s assets which means price of company b ' s assets is half the price of kw = 80 a + b = 180 kw = 160 kw / ( a + b ) * 100 = 160 / 180 * 100 = 88.88 % or 89 % c\"" - }, - { - "Answer": 531.0344827586207, - "Options": "a ) 500 , b ) 334 , c ) 531 , d ) 664 , e ) 5598", - "Correct": "c", - "Explanation": "\"110 % of s . p . = 616 s . p . = ( 616 * 100 ) / 110 = rs . 560 c . p = ( 110 * 560 ) / 116 = rs . 531 answer : option c\"" - }, - { - "Answer": 199.99999999999997, - "Options": "a ) rs . 200 , b ) rs . 250 , c ) rs . 240 , d ) rs . 220 , e ) rs . 230", - "Correct": "a", - "Explanation": "\"explanation : present worth of rs . x due t years hence is given by present worth ( pw ) = x / ( 1 + r / 100 ) t present worth ( pw ) = 242 / ( 1 + 10 / 100 ) 2 = 242 / ( 11 / 10 ) 2 = rs . 200 answer : option a\"" - }, - { - "Answer": 7.0000000000009095, - "Options": "a ) s . 10 , b ) s . 7 , c ) s . 5 , d ) s . 3 , e ) s . 4", - "Correct": "b", - "Explanation": "\"4375 = d ( 100 / 4 ) 2 d = 7 answer : b\"" - }, - { - "Answer": 28, - "Options": "a ) 30 % , b ) 28 % , c ) 32 % , d ) 33 % , e ) 34 %", - "Correct": "b", - "Explanation": "\"say dhoni ' s earning last month was $ 100 . dhoni spent 40 percent of his earning last month on rent - - > $ 40 on rent ; 20 percent less than what he spent on rent to purchase a new dishwasher - - > $ 40 * 0.8 = $ 32 on the dishwasher . left over amount 100 - ( 40 + 32 ) = $ 28 answer : b\"" - }, - { - "Answer": 600, - "Options": "a ) 600 , b ) 2877 , c ) 208 , d ) 1882 , e ) 191", - "Correct": "a", - "Explanation": "explanation : cost price = rs . 500 profit = 20 % of 500 = rs . 100 selling price = cost price + profit = 500 + 100 = 600 answer : a" - }, - { - "Answer": 2, - "Options": "a ) 6 % , b ) 2 % , c ) 4 % , d ) 5 % , e ) 3 %", - "Correct": "b", - "Explanation": "\"150 = ( 750 * 10 * r ) / 100 r = 2 % answer : b\"" - }, - { - "Answer": 1250, - "Options": "a ) $ 1000 , b ) $ 1200 , c ) $ 1120 , d ) $ 1350 , e ) $ 1250", - "Correct": "e", - "Explanation": "let c . p . be $ x then 125 % of x - 85 % of x = 500 40 % of x = 500 2 x / 5 = 500 x = $ 1250 answer is e" - }, - { - "Answer": 21, - "Options": "a ) 19 % , b ) 21 % , c ) 20 % , d ) 22 % , e ) 25 %", - "Correct": "b", - "Explanation": "investment 5000 dollars 1 st year total gained = 500 total amount end of first year = 5500 second year account increased by 10 % = 5500 * 0.1 = 550 therefore total amount by second year end = 6050 so total percentage increase in money = ( 6050 - 5000 ) * 100 / 5000 = 21 % correct answer b = 21 %" - }, - { - "Answer": 12.600000000000001, - "Options": "a ) 12.6 % , b ) 6.3 % , c ) 27 % , d ) 25.2 % , e ) none of these", - "Correct": "a", - "Explanation": "explanation : solution : assume the number be x . then , 3 / 4 of 2 / 3 of 3 / 7 of x = 27 . x = 27 * 7 / 3 * 3 / 2 * 4 / 3 . x = 126 . ' . 10 % of 126 = 10 / 100 * 126 = 12.6 answer : a" - }, - { - "Answer": 50, - "Options": "a ) 25 % , b ) 50 % , c ) 20 % , d ) 15 % , e ) 30 %", - "Correct": "b", - "Explanation": "c . p . = $ 10 s . p . = $ 15 gain = $ 5 gain % = 5 / 10 * 100 = 50 % answer is b" - }, - { - "Answer": 285600, - "Options": "a ) 285600 , b ) 340000 , c ) 347000 , d ) 356000 , e ) 357000", - "Correct": "a", - "Explanation": "\"total number of invalid votes = 15 % of 560000 = 15 / 100 \u00d7 560000 = 8400000 / 100 = 84000 total number of valid votes 560000 \u2013 84000 = 476000 percentage of votes polled in favour of candidate a = 60 % therefore , the number of valid votes polled in favour of candidate a = 60 % of 476000 = 60 / 100 \u00d7 476000 = 28560000 / 100 = 285600 a )\"" - }, - { - "Answer": 20, - "Options": "a ) 25 % , b ) 5 % , c ) 10 % , d ) 15 % , e ) 20 %", - "Correct": "e", - "Explanation": "\"3000 - - - 600 100 - - - ? = > 20 % answer : e\"" - }, - { - "Answer": 2800, - "Options": "a ) s . 4000 , b ) s . 5000 , c ) s . 4500 , d ) s . 4800 , e ) s . 2800", - "Correct": "e", - "Explanation": "\"ci = 3087 , r = 5 , n = 2 ci = p [ 1 + r / 100 ] ^ 2 = p [ 1 + 5 / 100 ] ^ 2 3087 = p [ 21 / 20 ] ^ 2 3087 [ 20 / 21 ] ^ 2 2800 answer : e\"" - }, - { - "Answer": 5760, - "Options": "a ) s . 9600 , b ) s . 7500 , c ) s . 5640 , d ) s . 5760 , e ) - 7296", - "Correct": "d", - "Explanation": "explanation : market value = rs . 64 face value is not given and hence take it as rs . 100 16 2 / 3 % of the face value = 50 / 3 ie , to earn 50 / 3 , investment = rs . 64 hence , to earn rs . 1500 , investment needed = 64 \u00d7 3 \u00d7 1500 / 50 = 5760 answer : option d" - }, - { - "Answer": 10, - "Options": "a ) 10 % , b ) 32 % , c ) 72 % , d ) 14 % , e ) 82 %", - "Correct": "a", - "Explanation": "\"difference in c . i . and s . i for 2 years = $ 693 - $ 660 = $ 33 s . i for one year = $ 330 s . i . on $ 330 for 1 year = $ 33 rate = ( 100 * 33 ) / ( 330 ) = 10 % the answer is a .\"" - }, - { - "Answer": 15, - "Options": "a ) $ 25 , b ) $ 15 , c ) $ 29.65 , d ) $ 35.95 , e ) $ 45.62", - "Correct": "b", - "Explanation": "s . p . of each of the article = 50 / 2 = $ 25 let m . p = $ x 60 % of x = 25 x = 25 * . 6 = $ 15 answer is b" - }, - { - "Answer": 7, - "Options": "a ) 5 % , b ) 6 % , c ) 7 % , d ) 8 % , e ) 9 %", - "Correct": "c", - "Explanation": "$ 49 is the interest on the first year of interest . let x be the interest rate . the interest after the first year is 10000 * x . the interest on the first year ' s interest is 10000 * x * x 10000 * x ^ 2 = 49 x = 0.07 the answer is c ." - }, - { - "Answer": 2500, - "Options": "a ) $ 2400 , b ) $ 2464 , c ) $ 2650 , d ) $ 2478 , e ) $ 2800", - "Correct": "d", - "Explanation": "1.4 x = 2500 x = 2500 / 1.4 so , 1.5 x = 2500 * 1.5 / 1.4 = 2478 answer : - d" - }, - { - "Answer": 650, - "Options": "a ) 550 , b ) 500 , c ) 650 , d ) 600 , e ) 700", - "Correct": "c", - "Explanation": "explanation final number = initial number + 30 % ( original number ) = 500 + 30 % ( 500 ) = 500 + 150 = 650 . answer c" - }, - { - "Answer": 19.6, - "Options": "a ) $ 10.00 , b ) $ 11.20 , c ) $ 14.40 , d ) $ 16.00 , e ) $ 19.60", - "Correct": "e", - "Explanation": "for retail price = $ 35 first maximum discounted price = 35 - 30 % of 35 = 35 - 10.5 = 24.5 price after additional discount of 20 % = 24.5 - 20 % of 24.5 = 24.5 - 4.9 = 19.6 answer : option e" - }, - { - "Answer": 35.00000000000002, - "Options": "a ) 32 , b ) 36 , c ) 39 , d ) 38 , e ) 35", - "Correct": "e", - "Explanation": "\"explanation : relative speed = 5.6 - 5.3 = 0.3 kmph ( because they walk in the same direction ) distance = 10.5 km time = distance / speed = 10.5 / 0.3 = 35 hr answer : e\"" - }, - { - "Answer": 34.000000000000036, - "Options": "a ) 24 , b ) 34 , c ) 37.8 , d ) 42 , e ) 84", - "Correct": "b", - "Explanation": "\"the difference between the amounts john paid and jane paid is the deference between 15 % of p and 15 % of 0.9 p : 0.15 p - 0.15 * 0.9 p = 0.51 - - > 15 p - 13.5 p = 51 - - > p = 34 . answer : b .\"" - }, - { - "Answer": 0.6666666666666665, - "Options": "a ) 2 / 3 , b ) 1 / 3 , c ) 2 / 5 , d ) 1 / 2 , e ) 1 / 5", - "Correct": "a", - "Explanation": "\"let total paint = 1 let amount replaced = x 60 ( 1 - x ) + 30 x = 40 x = 2 / 3 answer : a\"" - }, - { - "Answer": 5, - "Options": "a ) 3 % , b ) 4 % , c ) 5 % , d ) 6 % , e ) 7 %", - "Correct": "c", - "Explanation": "\"in 5 years , the value grew $ 100 , so the simple interest was $ 20 per year . in 3 years , the total interest was 3 * $ 20 = $ 60 the principal is $ 460 - $ 60 = 400 . the interest rate is $ 20 / $ 400 = 5 % the answer is c .\"" - }, - { - "Answer": 13000, - "Options": "a ) 29997 , b ) 28088 , c ) 27098 , d ) 13000 , e ) 2799", - "Correct": "d", - "Explanation": "\"money paid in cash = rs . 2000 balance payment = ( 15000 - 2000 ) = rs . 13000 . answer : d\"" - }, - { - "Answer": 6, - "Options": "a ) 6 % , b ) 8 % , c ) 9 % , d ) 11 % , e ) 12 %", - "Correct": "a", - "Explanation": "let the third number is x . then first number = ( 100 - 25 ) % of x = 75 % of x = 75 x / 100 second number is ( 63 x / 100 ) difference = 75 x / 100 - 63 x / 100 = 3 x / 25 so required percentage is , difference is what percent of first number ( 3 x / 25 * 100 / 75 x * 100 ) % = 6 % answer : a" - }, - { - "Answer": 1412775, - "Options": "a ) 354354 , b ) 545454 , c ) 465785 , d ) 456573 , e ) 2818075 / 2", - "Correct": "e", - "Explanation": "\"required population = p ( 1 + r 1 / 100 ) ( 1 - r 2 / 100 ) ( 1 + r 3 / 100 ) = p ( 1 + 15 / 100 ) ( 1 - 35 / 100 ) ( 1 + 45 / 100 ) = 2818075 / 2 e\"" - }, - { - "Answer": 400, - "Options": "a ) 157.78 , b ) 157.98 , c ) 400 , d ) 420 , e ) 430", - "Correct": "c", - "Explanation": "\"( 3200 * 2.5 * 5 ) / 100 = > 400 answer : c\"" - }, - { - "Answer": 42, - "Options": "a ) 34 % , b ) 24 % , c ) 42 % , d ) 18 % , e ) 8.5 %", - "Correct": "c", - "Explanation": "\"instead of using complex calculations and remembering formulae , why dont u directly get to weighted average . 3 parts of 10 % + 1 part of x ( unknown ) % = 4 parts of 18 % = > x % = 72 % - 30 % = 42 % ans c it is .\"" - }, - { - "Answer": 5.533333333333333, - "Options": "a ) 6.25 , b ) 6.28 , c ) 6.11 , d ) 5.53 , e ) 6.21", - "Correct": "d", - "Explanation": "\"required run rate = [ 250 - ( 4.2 * 20 ) ] / 30 = 166 / 30 = 5.53 answer : d\"" - }, - { - "Answer": 3840, - "Options": "a ) rs . 3840 , b ) rs . 5270 , c ) rs . 6275 , d ) rs . 6720 , e ) none of these", - "Correct": "a", - "Explanation": "\"cp = sp * ( 100 / ( 100 + profit % ) ) = 4800 ( 100 / 125 ) = rs . 3840 . answer : a\"" - }, - { - "Answer": 260, - "Options": "a ) 182 , b ) 260 , c ) 224 , d ) 254 , e ) 302", - "Correct": "b", - "Explanation": "\"if x is the original number of faculty members , then after 25 % reduction in faculty members number is . 75 x but we are given . 75 x = 195 x = 260 so the original number of faculty members is 260 correct answer - b\"" - }, - { - "Answer": 4663.5, - "Options": "a ) 4663.5 , b ) 4203.5 , c ) 4303.5 , d ) 4403.5 , e ) 4103.5", - "Correct": "a", - "Explanation": "\"time = 2 years 4 months = 2 ( 4 / 12 ) years = 2 ( 1 / 3 ) years . amount = $ [ 12000 x ( 1 + \u00ad ( 15 / 100 ) ) 2 x ( 1 + ( ( 1 / 3 ) * 15 ) / 100 ) ] = $ [ 12000 * ( 23 / 20 ) * ( 23 / 20 ) * ( 21 / 20 ) ] = $ 16663.50 . : . c . i . = rs . ( 16663.50 - 12000 ) = $ 4663.50 answer a .\"" - }, - { - "Answer": 421.05263157894734, - "Options": "a ) 400 , b ) 520 , c ) 651 , d ) 525 , e ) 421", - "Correct": "e", - "Explanation": "\"cp * ( 76 / 100 ) = 320 cp = 4.21 * 100 = > cp = 421 answer : e\"" - }, - { - "Answer": 25, - "Options": "a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30", - "Correct": "d", - "Explanation": "\"1 weaver can weave 1 mat in 4 days . 10 weavers can weave 10 mats in 4 days . 10 weavers can weave 25 mats in 10 days . the answer is d .\"" - }, - { - "Answer": 2.25, - "Options": "a ) 1.44 % , b ) 2.02 % , c ) 1.04 % , d ) 2.25 % , e ) 3.40 %", - "Correct": "d", - "Explanation": "\"explanation : sp of each car is rs . 404415 , he gains 15 % on first car and losses 15 % on second car . in this case , there will be loss and percentage of loss is given by = [ ( profit % ) ( loss % ) ] / 100 = ( 15 ) ( 15 ) / 100 % = 2.25 % answer is d\"" - }, - { - "Answer": 3.9, - "Options": "a ) 3.5 , b ) 3.75 , c ) 4 , d ) 3.9 , e ) 4.5", - "Correct": "d", - "Explanation": "( 1000 xtx 3 / 100 ) + ( 1400 xtx 5 / 100 ) = 390 \u00e2 \u2020 \u2019 t = 3.9 answer d" - }, - { - "Answer": 48.00000000000001, - "Options": "a ) rs . 45 , b ) rs . 70 , c ) rs . 39 , d ) rs . 72 , e ) rs . 48", - "Correct": "e", - "Explanation": "s . i . for 4 years = rs . ( 1192 - 1000 ) = rs . 192 . s . i . for 1 year = rs . 192 / 4 = rs . 48 . answer : option e" - }, - { - "Answer": 11.11111111111111, - "Options": "a ) 12.11 , b ) 11.11 , c ) 13.11 , d ) 14.11 , e ) 15.11", - "Correct": "b", - "Explanation": "\"explanation : ( 100 + g ) / ( 100 + x ) = true measure / faulty measure x = 0 true measure = 1000 faulty measure = 900 100 + g / 100 + 0 = 1000 / 900 100 + g = 10 / 9 * 100 g = 11.11 answer : b\"" - }, - { - "Answer": 150, - "Options": "a ) rs . 150 , b ) rs . 17 , c ) rs . 1.70 , d ) rs . 4.25 , e ) none", - "Correct": "a", - "Explanation": "\"answer \u2235 0.5 / 100 of a = 75 / 100 \u2234 a = rs . ( 75 / 0.5 ) = rs . 150 correct option : a\"" - }, - { - "Answer": 1330, - "Options": "a ) s . 1090 , b ) s . 1160 , c ) s . 1190 , d ) s . 1202 , e ) s . 1330", - "Correct": "e", - "Explanation": "\"since , c . p = 1400 loss % = ( c . p - s . p ) / c . p * 100 5 = ( 1400 - s . p ) / 1400 * 100 so , after solving answer = 1330 . answer : e\"" - }, - { - "Answer": 43.99999999999999, - "Options": "a ) 5 % , b ) 18 % , c ) 33 % , d ) 44 % , e ) 38 %", - "Correct": "d", - "Explanation": "\"profit in 1995 - 100 profit in 1996 - 120 % increae profit in 1997 in comparison to 1995 = 20 + 120 * 20 % = 44 correct option : d\"" - }, - { - "Answer": 603.75, - "Options": "a ) 603.75 , b ) 555.75 , c ) 569.55 , d ) 256.25 , e ) 563.23", - "Correct": "a", - "Explanation": "c . i . = [ 7000 * ( 1 + 7 / 100 ) 2 - 7000 ] = ( 7000 * 11 / 10 * 11 / 10 - 7000 ) = rs . 1014.3 . sum = ( 507.15 * 100 ) / ( 6 * 14 ) = rs . 603.75 answer : a" - }, - { - "Answer": 8, - "Options": "a ) 8 % , b ) 10 % , c ) 11 % , d ) 15 % , e ) 20 %", - "Correct": "a", - "Explanation": "explanation : marked price = rs . 30 c . p . = 100 / 120 * 30 = rs . 25 sale price = 90 % of rs . 30 = rs . 27 required gain % = 0.2 / 25 * 100 = 8 % . answer : a" - }, - { - "Answer": 12.352941176470589, - "Options": "a ) rs 8.81 , b ) rs 9.35 , c ) rs 10.35 , d ) rs 12.35 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : 85 : 10 = 105 : x x = ( 10 \u00d7 105 / 85 ) = rs 12.35 option d\"" - }, - { - "Answer": 40, - "Options": "a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 65", - "Correct": "b", - "Explanation": "\"a hostel had provisions for 250 men for 32 days if 50 men leaves the hostel , remaining men = 250 - 50 = 200 we need to find out how long the food will last for these 200 men . let the required number of days = x days more men , less days ( indirect proportion ) ( men ) 250 : 200 : : x : 32 250 \u00d7 32 = 200 x 5 \u00d7 32 = 4 x x = 5 \u00d7 8 = 40 answer b\"" - }, - { - "Answer": 0.48, - "Options": "a ) 0.49 , b ) 0.48 , c ) 0.41 , d ) 0.482 , e ) 0.411", - "Correct": "b", - "Explanation": "explanation : probability that a speaks truth is 80 / 100 = 0.8 probability that b speaks truth is 60 / 100 = 0.6 since both a and b are independent of each other so probability of a intersection b is p ( a ) \u00d7 p ( b ) = 0.8 \u00d7 0.6 = 0.48 answer : b" - }, - { - "Answer": 56.375, - "Options": "a ) s . 56.37 , b ) s . 53.22 , c ) s . 56.219 , d ) s . 51.18 , e ) s . 51.11", - "Correct": "a", - "Explanation": "\"explanation : sum = ( 55 * 100 ) / ( 2 * 5 ) = rs . 550 amount = [ 550 * ( 1 + 5 / 100 ) 2 ] = rs . 606.375 c . i . = ( 606.375 - 550 ) = rs . 56.37 answer : a\"" - }, - { - "Answer": 700, - "Options": "a ) 630 , b ) 700 , c ) 535 , d ) 450 , e ) 815", - "Correct": "b", - "Explanation": "\"let the total number of votes polled be x then , votes polled by other candidate = ( 100 - 84 ) % of x = 16 % of x 84 % of x - 16 % of x = 476 68 x / 100 = 476 x = 476 * 100 / 68 = 700 answer is b\"" - }, - { - "Answer": 20, - "Options": "a ) 10 % , b ) 20 % , c ) 30 % , d ) 40 % , e ) 50 %", - "Correct": "b", - "Explanation": "first decrease in percent part / whole = ( 120 - 100 ) / 120 = 0.17 = 17 % second decrease in percent part / whole = ( 100 - 80 ) / 100 = 0.20 = 20 % the second decrease was larger in percent term . the part were the same in both cases but the whole was smaller in the second decrease . answer b" - }, - { - "Answer": 52325.58139534884, - "Options": "a ) rs . 22325.58 , b ) rs . 32325.58 , c ) rs . 52325.58 , d ) rs . 62325.58 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : s . p = rs . 54,000 . gain earned = 20 % c . p = rs . [ 100 / 120 \u00e3 \u2014 54000 ] = rs . 45000 this is the price the first person sold to the second at at loss of 14 % . now s . p = rs . 45000 and loss = 14 % c . p . rs . [ 100 / 86 \u00e3 \u2014 45000 ] = rs . 52325.58 . correct option : c\"" - }, - { - "Answer": 4.166666666666674, - "Options": "a ) 4.16 % , b ) 5.36 % , c ) 4.26 % , d ) 6.26 % , e ) 7.26 %", - "Correct": "a", - "Explanation": "\"his percentage gain is 100 * 40 / 960 as he is gaining 40 units for his purchase of 960 units . so 4.16 % . answer : a\"" - }, - { - "Answer": 21.000000000000018, - "Options": "a ) 20 % , b ) 20.5 % , c ) 20.8 % , d ) 21 % , e ) 21.8 %", - "Correct": "d", - "Explanation": "\"1.1 * 1.1 * x = 1.21 * x the answer is d .\"" - }, - { - "Answer": 75, - "Options": "a ) rs . 11 , b ) rs . 75 , c ) rs . 17 , d ) rs . 16 , e ) rs . 22", - "Correct": "b", - "Explanation": "\"for an income of rs . 8 , investment = rs . 100 . for an income of rs 6 , investment = rs . \\ inline \\ left ( \\ frac { 100 } { 8 } \\ times 6 \\ right ) = rs . 75 market value of rs . 100 stock = rs . 75 . answer : b\"" - }, - { - "Answer": 38.888888888888886, - "Options": "a ) 39 % , b ) 52 % , c ) 15 % , d ) 21 % , e ) 28 %", - "Correct": "a", - "Explanation": "\"let c . p . be $ 100 . then , s . p . = $ 125 let marked price be $ x . then , 90 / 100 * x = 125 x = 12500 / 90 = $ 139 now , s . p . = $ 139 , c . p . = rs . 100 profit % = 39 % . answer : a\"" - }, - { - "Answer": 80, - "Options": "a ) 80 cm , b ) 90 cm , c ) 100 cm , d ) 120 cm , e ) 130 cm", - "Correct": "a", - "Explanation": "\"when ball comes down , then i have indicated the distance covered in green when ball goes up , then i have indicated the distance covered in red distance travelled uptil the ball touches the floor 3 rd time : h + 0.5 h + 0.5 h + 0.5 * 0.5 h + 0.5 * 0.5 h h + 2 * 0.5 * h + 2 * 0.25 * h = h ( 1 + 2 * 0.5 + 2 * 0.25 ) = h ( 1 + 1 + 0.5 ) = 80 2.5 h = 80 h = 80 . a is the answer .\"" - }, - { - "Answer": 6.382978723404255, - "Options": "a ) 7.38 , b ) 5.38 , c ) 4.38 , d ) 6.38 , e ) 3.38", - "Correct": "d", - "Explanation": "explanation : ( 100 + g ) / ( 100 + x ) = true measure / faulty measure x = 0 true measure = 1000 faulty measure = 940 100 + g / 100 + 0 = 1000 / 940 100 + g = 100 / 94 * 100 g = 6.38 answer : d" - }, - { - "Answer": 25, - "Options": "a ) 9 % , b ) 10 % , c ) 11 % , d ) 15 % , e ) 25 %", - "Correct": "e", - "Explanation": "\"assume the price = 100 price during sale = 80 price after sale = 100 percent increase = 20 / 80 * 100 = 25 % approx . correct option : e\"" - }, - { - "Answer": 96, - "Options": "a ) 46 , b ) 96 , c ) 35 , d ) 87 , e ) 13", - "Correct": "b", - "Explanation": "\"to earn rs . 135 , investment = rs . 1620 . to earn rs . 8 , investment = rs . 96 . market value of rs . 100 stock = rs . 96 . answer : b\"" - }, - { - "Answer": 480, - "Options": "a ) 430 , b ) 438 , c ) 436 , d ) 480 , e ) 422", - "Correct": "d", - "Explanation": "\"let the total number of valid votes be x . 70 % of x = 70 / 100 * x = 7 x / 10 number of votes secured by the other candidate = x - 7 x / 100 = 3 x / 10 given , 7 x / 10 - 3 x / 10 = 192 = > 4 x / 10 = 192 = > 4 x = 1920 = > x = 480 . answer : d\"" - }, - { - "Answer": 7.857142857142857, - "Options": "a ) 10 % , b ) 7.8 % , c ) 11 % , d ) 12.5 % , e ) none", - "Correct": "b", - "Explanation": "sol . let c . p . = rs . 100 . then , marked price = rs . 140 , s . p . = rs . 99 . \u2234 discount % = [ 11 / 140 * 100 ] % = 7.8 % answer b" - }, - { - "Answer": 6500, - "Options": "a ) a ) 4500 , b ) b ) 5200 , c ) c ) 6900 , d ) d ) 7520 , e ) e ) 6500", - "Correct": "e", - "Explanation": "\"let the total number of votes polled be x then , votes polled by other candidate = ( 100 - 60 ) % of x = 40 % of x 60 % of x - 40 % of x = 1300 20 x / 100 = 1300 x = 1300 * 100 / 20 = 6500 answer is e\"" - }, - { - "Answer": 15, - "Options": "a ) 10 kg , b ) 15 kg , c ) 20 kg , d ) 25 kg , e ) 40 kg", - "Correct": "b", - "Explanation": "\"from the question we know : 30 kg * 60 % = 18 kg of water in the fresh grapes 30 kg - 18 kg of water = 12 kg of non - water mass we are looking for the weight of the dry grapes ( x ) . since the question tells us that 20 % of the weight of the dry graps is water and we know that 12 kg is non - water mass we can set up the following equation : x = 1 / 5 ( x ) + 12 kg 4 / 5 ( x ) = 12 kg x = 15 kg answer - b\"" - }, - { - "Answer": 25, - "Options": "a ) 25 % , b ) 26 % , c ) 27 % , d ) 28 % , e ) 29 %", - "Correct": "a", - "Explanation": "let the cp of each pen be rs . 1 . cp of 88 pens = rs . 88 profit = cost of 22 pens = rs . 22 profit % = 22 / 88 * 100 = 25 % answer : a" - }, - { - "Answer": 454.9632352941177, - "Options": "a ) 643 , b ) 652 , c ) 454 , d ) 460 , e ) 490", - "Correct": "c", - "Explanation": "\"= 495 / 1.36 \u2217 1.25 = 454 = 454 answer is c\"" - }, - { - "Answer": 13, - "Options": "a ) 3 , b ) 13 , c ) 14 , d ) 17 , e ) 20", - "Correct": "b", - "Explanation": "\"number of apples = 10 number of oranges = 23 let number of oranges that must be removed so that 50 % of pieces of fruit in bowl will be apples = x total number of fruits after x oranges are removed = 10 + ( 23 - x ) = 33 - x 10 / ( 33 - x ) = 5 / 10 = > 20 = 33 - x = > x = 13 answer b\"" - }, - { - "Answer": 41.25, - "Options": "a ) 35 % , b ) 37 % , c ) 41.3 % , d ) 42 % , e ) 45 %", - "Correct": "c", - "Explanation": "in 8 kilograms of solution y there are 0.3 * 8 = 2.4 kilograms of solution x ; after 3 kilograms of water are replaced by 3 kilograms of solution y , to the existing 2.4 kilograms of solution x , 0.3 * 3 = 0.9 kilograms of solution x are added , so in the new solution of 8 kilograms there are 2.4 + 0.9 = 3.3 kilograms of solution x , which is 3.3 / 8 * 100 = 41.3 % of this new solution . answer : c ." - }, - { - "Answer": 19.954259576901087, - "Options": "a ) 22 % , b ) 18 % , c ) 24 % , d ) 17 % , e ) 20 %", - "Correct": "e", - "Explanation": "\"let the first discount be x % then , 87.5 % of ( 100 - x ) % of 150 = 105 = 87.5 / 100 * ( 100 - x ) / 100 * 450 = 150 = > 105 = > 100 - x = ( 105 * 100 * 100 ) / ( 150 * 87.5 ) = 80 x = ( 100 - 80 ) = 20 first discount = 20 % answer is e .\"" - }, - { - "Answer": 1600, - "Options": "a ) 288 , b ) 278 , c ) 800 , d ) 1600 , e ) 121", - "Correct": "d", - "Explanation": "\"( 20 / 100 ) * x \u00e2 \u20ac \u201c ( 20 / 100 ) * 650 = 190 1 / 5 x = 320 x = 1600 answer : d\"" - }, - { - "Answer": 19200, - "Options": "a ) 19200 , b ) 17606 , c ) 17604 , d ) 17600 , e ) 117601", - "Correct": "a", - "Explanation": "\"price at which the tv set is bought = rs . 12,500 discount offered = 20 % marked price = 12500 * 100 / 80 = rs . 15625 the total amount spent on transport and installation = 125 + 250 = rs . 375 \\ total price of tv set = 15625 + 375 = rs . 16000 the price at which the tv should be sold to get a profit of 20 % if no discount was offered = 16000 * 120 / 100 = rs . 19200 . answer : a\"" - }, - { - "Answer": 1200, - "Options": "a ) 1000 , b ) 1200 , c ) 1400 , d ) 1450 , e ) 1500", - "Correct": "b", - "Explanation": "by rule of alligation , % profit by selling part 1 % profit by selling part 2 8 12 net % profit 11 12 - 11 = 1 11 - 8 = 3 = > quantity of part 1 : quantity of part 2 = 1 : 3 given that total quantity = 1600 kg hence , quantity of part 2 ( quantity sold at 12 % profit ) = 1600 \u00d7 3 4 = 1200 b )" - }, - { - "Answer": 32, - "Options": "a ) 30 % , b ) 32 % , c ) 45 % , d ) 68 % , e ) 70 %", - "Correct": "b", - "Explanation": "say john ' s earning last month was $ 100 . john spent 40 percent of his earning last month on rent - - > $ 40 on rent ; 30 percent less than what he spent on rent to purchase a new dishwasher - - > $ 40 * 0.7 = $ 28 on the dishwasher . left over amount 100 - ( 40 + 28 ) = $ 32 . answer : b ." - }, - { - "Answer": 25, - "Options": "a ) 10.5 % , b ) 12.5 % , c ) 15 % , d ) 25 % , e ) 30 %", - "Correct": "d", - "Explanation": "\"suppose there are x motorists . 20 % of them exceeded the speed limit and received the ticket , i . e . x / 5 . again , suppose total no . of motorists who exceeded the speed limit are y . 20 % of y exceeded the speed limit but did n ' t received the ticket , i . e . y / 5 . it means 4 y / 5 received the ticket . hence , 4 y / 5 = x / 5 or y / x = 1 / 4 or y / x * 100 = 1 / 4 * 100 = 25 % d\"" - }, - { - "Answer": 1166.6666666666667, - "Options": "a ) s . 1000 , b ) s . 1009 , c ) s . 1166.7 , d ) s . 1006 , e ) s . 1002", - "Correct": "c", - "Explanation": "\"explanation : 90 % 102 % - - - - - - - - 12 % - - - - 140 100 % - - - - ? = > rs . 1166.7 answer : c\"" - }, - { - "Answer": 120, - "Options": "a ) 80 % , b ) 105 % , c ) 120 % , d ) 124.2 % , e ) 138 %", - "Correct": "c", - "Explanation": "\"let ' s test : 1998 revenues = $ 100 profits = $ 10 next we ' re told that , in 1999 , revenue fell by 20 % , but profits were 15 % of revenues . using the numbers from 1998 ( above ) , we end up with . . . 1999 revenues = $ 80 profits = $ 12 we ' re asked to compare the profits in 1999 to the profits in 1998 ( as a percentage ) : $ 12 / $ 10 = 1.2 = 120 % answer : c\"" - }, - { - "Answer": 3000.0000000000005, - "Options": "a ) rs . 2250 , b ) rs . 3000 , c ) rs . 6750 , d ) rs . 5625 , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : let the investment of c be rs . x . the inverstment of b = rs . ( 2 x / 3 ) the inverstment of a = rs . ( 3 \u00d7 ( 2 / 3 ) x ) = rs . ( 2 x ) ratio of capitals of a , b and c = 2 x : 2 x / 3 : x = 6 : 2 : 3 c ' s share = rs . [ ( 3 / 11 ) \u00d7 11000 ] = rs . 3000 answer : option b\"" - }, - { - "Answer": 24999.999999999996, - "Options": "a ) 23777 , b ) 25000 , c ) 29977 , d ) 26777 , e ) 19871", - "Correct": "b", - "Explanation": "\"let the sum invested at 9 % be rs . x and that invested at 11 % be rs . ( 100000 - x ) . then , ( x * 9 * 1 ) / 100 + [ ( 100000 - x ) * 11 * 1 ] / 100 = ( 100000 * 19 / 2 * 1 / 100 ) ( 9 x + 1100000 - 11 x ) = 950000 x = 75000 sum invested at 9 % = rs . 75000 sum invested at 11 % = rs . ( 100000 - 75000 ) = rs . 25000 . answer : b\"" - }, - { - "Answer": 64.53804347826086, - "Options": "a ) 72.5 , b ) 64.5 , c ) 62.5 , d ) 82.5 , e ) 60.5", - "Correct": "b", - "Explanation": "c $ 62.50 cp = 47.50 sp = 47.50 * ( 125 / 100 ) = 59.375 mp * ( 92 / 100 ) = 59.375 mp = 64.5 b" - }, - { - "Answer": 40, - "Options": "a ) 76 % , b ) 60 % , c ) 50 % , d ) 40 % , e ) 24 %", - "Correct": "d", - "Explanation": "let s be the total number of elements in set s . we know that 0.36 * s is the number of even multiples of three . let n be the number of even numbers . we know 0.40 * n are even numbers not multiple of three . this also means , 0.60 * n are even numbers that are multiples of three . therefore : 0.06 * n = 0.36 * s n = ( 0.36 / 0.60 ) * s = ( 36 / 60 ) * s = ( 6 / 10 ) * s = 0.60 * s = 60 % of s so even numbers are 60 % of s . that means , 40 % of s are not even integers . answer = d" - }, - { - "Answer": 6681.818181818181, - "Options": "a ) rs . 6289 , b ) rs . 6298 , c ) rs . 6681 , d ) rs . 6725 , e ) rs . 6708", - "Correct": "c", - "Explanation": "\"cp = sp * ( 100 / ( 100 + profit % ) ) = 7350 ( 100 / 110 ) = rs . 6681 . answer : c\"" - }, - { - "Answer": 264, - "Options": "a ) 100 , b ) 120 , c ) 200 , d ) 220 , e ) 264", - "Correct": "e", - "Explanation": "\"p = 240 r = 10 % required population of town = p * ( 1 + r / 100 ) ^ t = 240 * ( 1 + 10 / 100 ) = 240 * ( 11 / 10 ) = 264 answer is e\"" - }, - { - "Answer": 56.666666666666664, - "Options": "a ) 9 % , b ) 56.6 % , c ) 11 % , d ) 12 % , e ) 15 %", - "Correct": "b", - "Explanation": "\"you know that fox jeans costs $ 15 , and pony jeans costs $ 18 , you also know that 3 pairs of fox jeans and 2 pairs of pony jeans were purchased . so 3 ( 15 ) = 45 - fox 2 ( 18 ) = 36 - pony the total discount discount is $ 3 and you are asked to find the percent discount of pony jeans , so 45 ( 18 - x ) / 100 + 36 ( x ) / 100 = 3 or 45 * 18 - 45 * x + 36 * x = 3 * 100 or 9 x = - 3 * 100 + 45 * 18 x = 510 / 9 = 56.6 % b\"" - }, - { - "Answer": 10, - "Options": "a ) 2 % , b ) 4 % , c ) 6 % , d ) 8 % , e ) 10 %", - "Correct": "e", - "Explanation": "1540 - 1400 = 140 is the rate of interest on $ 1400 for one year . the rate of interest = ( 100 * 140 ) / ( 1400 ) = 10 % the answer is e ." - }, - { - "Answer": 66.66666666666669, - "Options": "a ) 66.66 , b ) 62.5 , c ) 58 , d ) 60 , e ) 62", - "Correct": "a", - "Explanation": "\"assume 1 oz candy cost $ 1 before . now price remain same $ 1 but weight of candy reduces to 0.6 oz new price of candy = 1 / 0.6 = 1.6666 price increase 66.66 % a\"" - }, - { - "Answer": 16, - "Options": "a ) 19 % , b ) 10 % , c ) 21 % , d ) 16 % , e ) none", - "Correct": "d", - "Explanation": "solution : given ratio of ram and shayam ' s weight = 1 : 5 hence , ( x - 15 ) / ( 15 - 10 ) = 1 / 5 or , x = 16 % . answer : option d" - }, - { - "Answer": 43.75, - "Options": "a ) 41 % , b ) 42 % , c ) 43 % , d ) 43.75 % , e ) 44 %", - "Correct": "d", - "Explanation": "\"work with fraction of brand z in the tank . 1 st step : brand z is 1 2 nd step : brand z is 1 / 2 3 rd step : brand z is ( 3 / 4 ) * ( 1 / 2 ) + 1 / 2 = 7 / 8 4 th step : brand z is ( 1 / 2 ) * ( 7 / 8 ) = 7 / 16 = 43.75 % answer ( d )\"" - }, - { - "Answer": 49.73591971621729, - "Options": "a ) 10 % , b ) 50 % , c ) 25 % , d ) 45 % , e ) 68 %", - "Correct": "b", - "Explanation": "\"explanation : br > \u00e2 \u02c6 \u0161 25 % = \u00e2 \u02c6 \u0161 25 / \u00e2 \u02c6 \u0161 100 = 5 / 10 = 50 / 100 = 50 % correct answer is b ) 50 %\"" - }, - { - "Answer": 12.5, - "Options": "a ) 13 , b ) 13.5 , c ) 11.5 , d ) 12.5 , e ) 12", - "Correct": "d", - "Explanation": "\"explanation : clue : firstly we need to calculate the si with prinical 500 , time 4 years and rate 8 % , it will be rs . 160 then we can get the time as time = ( 100 * 160 ) / ( 160 * 8 ) = 12.5 option d\"" - }, - { - "Answer": 3225, - "Options": "a ) rs . 3225 , b ) rs . 2580 , c ) rs . 8000 , d ) rs . 1290 , e ) none", - "Correct": "a", - "Explanation": "solution c . i . = rs [ 8000 x ( 1 + 15 / 100 ) \u00e2 \u00b2 - 8000 ] rs . ( 8000 x 115 / 100 x 115 / 100 - 8000 ) = rs . 2580 . sum = rs . [ 1290 x 100 / 5 x 8 ] = rs . 3225 . answer a" - }, - { - "Answer": 25599.08977777778, - "Options": "a ) 25600.24 , b ) 25600.27 , c ) 25600.28 , d ) 25600.21 , e ) 25600.29", - "Correct": "a", - "Explanation": "6 1 / 4 % = 1 / 16 x * 15 / 16 * 15 / 16 * 15 / 16 = 21093 x = 25600.24 answer : a" - }, - { - "Answer": 240, - "Options": "a ) 198 , b ) 200 , c ) 204 , d ) 240 , e ) 210", - "Correct": "d", - "Explanation": "\"sp = 1.25 * 192 = 240 answer : d\"" - }, - { - "Answer": 7999.999999999999, - "Options": "a ) 7700 , b ) 8000 , c ) 8300 , d ) 8600 , e ) 8900", - "Correct": "b", - "Explanation": "\"35 % - - - - - - - - - - - l 65 % - - - - - - - - - - - w - - - - - - - - - - - - - - - - - - 30 % = 2400 10 % = 800 100 % of the votes = 8000 answer : b\"" - }, - { - "Answer": 10815.834432633617, - "Options": "a ) $ 10079.44 , b ) e = $ 10815.83 , c ) $ 12652.61 , d ) $ 14232.14 , e ) $ 20598.11", - "Correct": "b", - "Explanation": "\"ps . i guess one can use simple interest to solve cause the answer choices are quite spread between you can easily arrive at something near 8 % hence b the answer\"" - }, - { - "Answer": 15, - "Options": "a ) 15 % , b ) 20 % , c ) 25 % , d ) 30 % , e ) 35 %", - "Correct": "a", - "Explanation": "i ii iii 119 140 100 140 - - - - - - - - - - 119 100 - - - - - - - - - - - ? = > 15 % answer : a" - }, - { - "Answer": 75, - "Options": "a ) 35 % , b ) 20 % , c ) 5 % , d ) 25 % , e ) 75 %", - "Correct": "e", - "Explanation": "\"explanation : 5 cp = 20 sp 20 - - - 15 cp loss 100 - - - ? = > 75 % loss answer : e\"" - }, - { - "Answer": 7.6923076923076925, - "Options": "a ) 7.69 % , b ) 16.66 % , c ) 17.8 % , d ) 19 % , e ) 21 %", - "Correct": "a", - "Explanation": "\"increase = ( 5 / 65 ) * 100 = ( 1 / 13 ) * 100 = 7.69 % . a\"" - }, - { - "Answer": 90.44, - "Options": "a ) 6.64 % , b ) 16.64 % , c ) 15.64 % , d ) 26.64 % , e ) 90.44 %", - "Correct": "e", - "Explanation": "\"percentage error in calculated area = ( 38 + 38 + ( 38 \u00e3 \u2014 38 ) / 100 ) % = 90.44 % answer : e\"" - }, - { - "Answer": 28, - "Options": "a ) 28 % , b ) 30 % , c ) 44 % , d ) 54 % , e ) 64 %", - "Correct": "a", - "Explanation": "\"percentage change in area = ( \u2212 10 \u2212 20 + ( 10 \u00d7 20 ) / 100 ) % = \u2212 28 % i . e . , area is decreased by 28 % answer : a\"" - }, - { - "Answer": 15, - "Options": "a ) 13 , b ) 15 , c ) 25 , d ) 17 , e ) 19", - "Correct": "b", - "Explanation": "\"900 * ( 10 / 100 ) = 90 - - - - 6 ? - - - - 1 = > rs . 15 answer : b\"" - }, - { - "Answer": 20, - "Options": "a ) 16.5 % , b ) 20 % , c ) 35 % , d ) 55 % , e ) 65 %", - "Correct": "b", - "Explanation": "\"the amount by which employment costs rose is equal to 0.035 ( salary costs + fringe benefit costs ) ; on the other hand the amount by which employment costs rose is equal to 0.03 * salary costs + 0.055 * fringe benefit costs ; so , 35 ( s + f ) = 30 s + 55 f - - > s = 4 f - - > f / s = 1 / 4 - - > f / ( s + f ) = 1 / ( 1 + 4 ) = 1 / 5 = 0.2 . answer : b .\"" - }, - { - "Answer": 15000, - "Options": "a ) s . 7000 , b ) s . 9000 , c ) s . 15000 , d ) s . 17000 , e ) s . 27000", - "Correct": "c", - "Explanation": "\"let the sum be rs . x . ( x * 15 * 2 ) / 100 - ( x * 12 * 2 ) / 100 = 900 = > 30 x / 100 - 24 x / 100 = 900 = > 6 x / 100 = 900 = > x = 15000 . answer : c\"" - }, - { - "Answer": 90, - "Options": "a ) s . 45 , b ) s . 50 , c ) s . 55 , d ) s . 60 , e ) s . 90", - "Correct": "e", - "Explanation": "\"( c . p . of 13 balls ) - ( s . p . of 13 balls ) = ( c . p . of 5 balls ) c . p . of 8 balls = s . p . of 13 balls = rs . 720 . c . p . of 1 ball = rs . 720 / 8 = rs . 90 . answer : option e\"" - }, - { - "Answer": 56.25, - "Options": "a ) 22 , b ) 56.25 , c ) 78 , d ) 33 , e ) 25", - "Correct": "b", - "Explanation": "\"given that , cost price of 50 article is equal to selling price of 32 articles . let cost price of one article = rs . 1 selling price of 32 articles = rs . 50 but cost price of 32 articles = rs . 32 therefore , the trader made profit . \\ percentage of profit = 18 / 32 * 100 = 56.25 % answer : b\"" - }, - { - "Answer": 56, - "Options": "a ) 56 sec , b ) 1 minute , c ) 45 sec , d ) 58 sec , e ) 50 sec", - "Correct": "a", - "Explanation": "\"speed = 9 km / hr = 9 * 5 / 18 = 5 / 2 m / sec distance = 35 * 4 = 140 m time taken = 140 * 2 / 5 = 56 sec . answer is a\"" - }, - { - "Answer": 40, - "Options": "a ) 76 % , b ) 60 % , c ) 50 % , d ) 40 % , e ) 24 %", - "Correct": "d", - "Explanation": "everything is correct except the red part with a typo : it should be n = 0.6 a - - > even numbers are 60 % of a - - > 40 % of a are not even integers . answer : d ." - }, - { - "Answer": 6800, - "Options": "a ) s . 8500 , b ) s . 6000 , c ) s . 6800 , d ) s . 9000 , e ) s . 7000", - "Correct": "c", - "Explanation": "using the formula s . i = p * t * r / 100 ( x * 12 * 3 / 100 ) + ( x * 9 * 5 / 100 ) + ( x * 13 * 3 / 100 ) = 8160 x = 6800 i . e money borrowed is rs . 6800 answer : c" - }, - { - "Answer": 56.99999999999999, - "Options": "a ) 45 % , b ) 56 % , c ) 57 % , d ) 70 % , e ) 72 %", - "Correct": "c", - "Explanation": "\"total number of votes polled = ( 1136 + 7636 + 11628 ) = 20400 so , required percentage = 11628 / 20400 * 100 = 57 % c\"" - }, - { - "Answer": 216, - "Options": "a ) s . 147 , b ) s . 248 , c ) s . 244 , d ) s . 229 , e ) s . 216", - "Correct": "e", - "Explanation": "given that sp = rs . 153 and loss = 15 % cp = [ 100 ( sp ) ] / ( 100 - l % ) = ( 100 * 153 ) / 85 = rs . 180 . to get 20 % profit , new sp = [ ( 100 + p % ) cp ] / 100 = ( 180 * 120 ) / 100 = rs . 216 answer : e" - }, - { - "Answer": 434.7826086956522, - "Options": "a ) 391 , b ) 435 , c ) 410 , d ) 423 , e ) 445", - "Correct": "b", - "Explanation": "\"d = number of employees in december j = number of employees in january j x 1.15 = d j x 1.15 = 500 j = 500 / 1.15 j = 50,000 / 115 = 435 thus b is the correct answer .\"" - }, - { - "Answer": 24, - "Options": "a ) 12 , b ) 16 , c ) 24 , d ) 28 , e ) 32", - "Correct": "c", - "Explanation": "\"800 * ( 15 / 100 ) = 120 - - - - 5 ? - - - - 1 = > rs . 24 answer : c\"" - }, - { - "Answer": 10.6, - "Options": "a ) 8.8 % , b ) 9 % , c ) 9.2 % , d ) 8.6 % , e ) 10.6 %", - "Correct": "e", - "Explanation": "\"the amount of chromium in the new 15 + 35 = 50 kg alloy is 0.12 * 15 + 0.10 * 35 = 5.3 kg , so the percentage is 5.3 / 50 * 100 = 10.6 % . answer : e .\"" - }, - { - "Answer": 19, - "Options": "a ) 19 % , b ) 30 % , c ) 32 % , d ) 36 % , e ) 72 %", - "Correct": "a", - "Explanation": "\"consider the initial value of the baseball card as $ 100 after first year price = 100 * 0.9 = 90 after second year price = 90 * 0.9 = 81 final decrease = [ ( 100 - 81 ) / 100 ] * 100 = 19 % correct answer - a\"" - }, - { - "Answer": 70, - "Options": "a ) 2287 , b ) 70 , c ) 128 , d ) 797 , e ) 120", - "Correct": "b", - "Explanation": "\"given 30 % ( income ) = 300 \u21d2 \u21d2 income = 1000 after having spent rs . 300 on petrol , he left with rs . 700 . his spending on house rent = 10 % ( 700 ) = rs . 70 answer : b\"" - }, - { - "Answer": 333200, - "Options": "a ) 330000 , b ) 340000 , c ) 347000 , d ) 333200 , e ) 357000", - "Correct": "d", - "Explanation": "\"total number of invalid votes = 15 % of 560000 = 15 / 100 \u00d7 560000 = 8400000 / 100 = 84000 total number of valid votes 560000 \u2013 84000 = 476000 percentage of votes polled in favour of candidate a = 70 % therefore , the number of valid votes polled in favour of candidate a = 70 % of 476000 = 70 / 100 \u00d7 476000 = 33320000 / 100 = 333200 d )\"" - }, - { - "Answer": 120, - "Options": "a ) 228 , b ) 288 , c ) 27 , d ) 120 , e ) 881", - "Correct": "d", - "Explanation": "let the sp of the refrigerator and the mobile phone be rs . r and rs . m respectively . r = 15000 ( 1 - 4 / 100 ) = 15000 - 600 m = 8000 ( 1 + 9 / 100 ) = 8000 + 720 total sp - total cp = r + m - ( 15000 + 8000 ) = - 600 + 720 = rs . 120 as this is positive , an overall profit of rs . 200 was made . answer : d" - }, - { - "Answer": 11875, - "Options": "a ) 22000 , b ) 20000 , c ) 11875 , d ) 12340 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : 32 % of income = rs . 3800 100 % of income = 3800 x 100 / 32 = rs . 11875 answer : c\"" - }, - { - "Answer": 799.9999999999999, - "Options": "a ) s 400 , b ) s 200 , c ) s 800 , d ) s 500 , e ) s 100", - "Correct": "c", - "Explanation": "\"explanation : average rate = ( 144 / 3200 ) * 100 = 4.5 ratio = 5 : 15 so , first part = ( 5 / 20 ) * 3200 = rs 800 . answer : c\"" - }, - { - "Answer": 80000, - "Options": "a ) $ 80,000 , b ) $ 100,000 , c ) $ 120,000 , d ) $ 150,000 , e ) $ 200,000", - "Correct": "a", - "Explanation": "let p be the total profit . p / 4 + 1 / 2 * ( 3 p / 4 ) = p / 4 + 3 p / 8 = 5 p / 8 = 50000 p = $ 80,000 the answer is a ." - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 30.33 , b ) 31.33 , c ) 32.33 , d ) 33.33 , e ) 34.33", - "Correct": "d", - "Explanation": "\"selling price = rs 100 : then cost price = rs 75 : profit = rs 25 . profit = { ( 25 / 75 ) * 100 } % = 33.33 % answer is d .\"" - }, - { - "Answer": 4.166666666666666, - "Options": "a ) 4.166 , b ) 3.1 , c ) 2.1 , d ) 1.256 , e ) 3.759", - "Correct": "a", - "Explanation": "\"explanation : ( 100 + g ) / ( 100 + x ) = true measure / faulty measure x = 0 true measure = 1000 faulty measure = 960 100 + g / 100 + 0 = 1000 / 960 100 + g = 100 / 96 * 100 g = 4.166 answer : a\"" - }, - { - "Answer": 960, - "Options": "a ) 960 , b ) 1060 , c ) 1,200 , d ) 920 , e ) none of these", - "Correct": "a", - "Explanation": "\"let the profit or loss be x and 832 \u2013 x = 448 + x or , x = 384 \u2044 2 = 192 \\ cost price of the article = 832 \u2013 x = 448 + x = 640 \\ sp of the article = 640 \u00d7 150 \u2044 100 = 960 answer a\"" - }, - { - "Answer": 13, - "Options": "a ) 13 % , b ) 16 % , c ) 17 % , d ) 78 % , e ) 28 %", - "Correct": "a", - "Explanation": "\"1500 - - - - 195 100 - - - - ? = > 13 % answer : a\"" - }, - { - "Answer": 300, - "Options": "a ) 150 % , b ) 200 % , c ) 300 % , d ) 350 % , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : let the s . p = 100 then c . p . = 25 profit = 75 profit % = ( 75 / 25 ) * 100 = 300 % . answer : c\"" - }, - { - "Answer": 44.00000000000001, - "Options": "a ) 28 % , b ) 30 % , c ) 32 % , d ) 36 % , e ) 44 %", - "Correct": "e", - "Explanation": "\"consider the initial value of the baseball card as $ 100 after first year price = 100 * 0.8 = 80 after second year price = 80 * 0.7 = 56 final decrease = [ ( 100 - 56 ) / 100 ] * 100 = 44 % correct answer - e\"" - }, - { - "Answer": 70, - "Options": "a ) 75 % , b ) 70 % , c ) 45 % , d ) 55 % , e ) 65 %", - "Correct": "b", - "Explanation": "\"let the 3 rd subject % = x 50 + 60 + x = 3 * 60 110 + x = 180 x = 180 - 110 = 70 answer : b\"" - }, - { - "Answer": 6100, - "Options": "a ) 8876 , b ) 2765 , c ) 6000 , d ) 1298 , e ) 6100", - "Correct": "e", - "Explanation": "\"x * 12 : 2 x * 6 : 3 x * 4 1 : 1 : 1 1 / 3 * 18300 = 6100 answer : e\"" - }, - { - "Answer": 312.0000000000004, - "Options": "a ) 160 , b ) 220 , c ) 312 , d ) 360 , e ) 420", - "Correct": "c", - "Explanation": "\"let ' s xx be total quantity of employees 0.6 x = females before adding men 0.55 ( x + 26 ) = females after adding men as quantity of women does n ' t change we can make an equation : 0.6 x = 0.55 ( x + 26 ) 0.05 x = 14.3 x = 286 - this is quantity of employees before adding 26 men so after adding it will be 312 answer is c\"" - }, - { - "Answer": 15.75, - "Options": "a ) 15.75 , b ) 16.33 , c ) 16.35 , d ) 16.3 , e ) 16.32", - "Correct": "a", - "Explanation": "\"c . p . of 50 kg wheat = ( 30 * 11.50 + 20 * 14.25 ) = rs . 630 . s . p . of 50 kg wheat = 125 % of rs . 630 = 125 / 100 * 630 = rs . 787.5 s . p . per kg = 787.5 / 50 = 15.75 . answer : a\"" - }, - { - "Answer": 13, - "Options": "a ) 18 , b ) 99 , c ) 13 , d ) 55 , e ) 71", - "Correct": "c", - "Explanation": "\"( 50 / 100 ) * 56 \u2013 ( 30 / 100 ) * 50 28 - 15 = 13 answer : c\"" - }, - { - "Answer": 18.939393939393938, - "Options": "a ) 18.94 % , b ) 18.93 % , c ) 18.92 % , d ) 18.91 % , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : let the cost price = rs 100 then , marked price = rs 132 required gain = 7 % , so selling price = rs 107 discount = 132 - 107 = 25 discount % = ( 25 / 132 ) * 100 = 18.93 % option b\"" - }, - { - "Answer": 9600, - "Options": "a ) 4300 , b ) 4500 , c ) 5120 , d ) 9600 , e ) 5366", - "Correct": "d", - "Explanation": "15000 \u00d7 80 / 100 \u00d7 80 / 100 = 9600 answer : d" - }, - { - "Answer": 14705.240000000013, - "Options": "a ) rs . 14705.24 , b ) rs . 14602.25 , c ) rs . 14822.26 , d ) rs . 14322.10 , e ) rs . 15350.23", - "Correct": "a", - "Explanation": "explanation : amount after 3 years = p ( 1 + r / 100 ) t = 40000 ( 1 + 11 / 100 ) 3 = 40000 ( 111 / 100 ) 3 = 40000 \u00d7 111 \u00d7 111 \u00d7 111 / 100 \u00d7 100 \u00d7 100 = 4 \u00d7 111 \u00d7 111 \u00d7 111 / 100 = 54705.24 compound interest = 54705.24 - 40000 = rs . 14705.24 answer : option a" - }, - { - "Answer": 66666.66666666667, - "Options": "a ) 30000 , b ) 66666 , c ) 40000 , d ) 20000 , e ) 60000", - "Correct": "b", - "Explanation": "\"let the amount invested by q = q 50000 : q = 3 : 4 \u21d2 50000 \u00d7 4 = 3 q \u21d2 q = ( 50000 \u00d7 4 ) / 3 = 66666 answer is b .\"" - }, - { - "Answer": 6160, - "Options": "a ) 3377 , b ) 6160 , c ) 5460 , d ) 1976 , e ) 1671", - "Correct": "b", - "Explanation": "5000 * 110 / 100 * 112 / 100 = > 6160 answer : b" - }, - { - "Answer": 600, - "Options": "a ) 200 , b ) 300 , c ) 500 , d ) 600 , e ) 400", - "Correct": "d", - "Explanation": "\"formula = total = 100 % , increase = ` ` + ' ' decrease = ` ` - ' ' a number means = 100 % that same number increased by 10 % = 110 % 110 % - - - - - - - > 660 ( 110 \u00e3 \u2014 6 = 660 ) 100 % - - - - - - - > 600 ( 100 \u00e3 \u2014 6 = 600 ) option ' d '\"" - }, - { - "Answer": 400, - "Options": "a ) 400 , b ) 500 , c ) 367 , d ) 368 , e ) 339", - "Correct": "a", - "Explanation": "\"70 = ( p * 5 * 7 / 2 ) / 100 p = 400 answer : a\"" - }, - { - "Answer": 0.3999999999999999, - "Options": "a ) 1 / 30 , b ) 1 / 5 , c ) 2 / 5 , d ) 3 / 4 , e ) 4 / 5", - "Correct": "c", - "Explanation": "\"40 % is 15 % - points above 25 % and 10 % - points below 50 % . thus the ratio of 25 % - solution to 50 % - solution is 2 : 3 . 2 / 5 of the original paint was replaced . the answer is c .\"" - }, - { - "Answer": 1350, - "Options": "a ) s . 1090 , b ) s . 1160 , c ) s . 1190 , d ) s . 1350 , e ) s . 1256", - "Correct": "d", - "Explanation": "\"s . p . = 75 % of rs . 1800 = rs . 75 / 100 x 1800 = rs . 1350 answer : d\"" - }, - { - "Answer": 194.25, - "Options": "a ) 129.25 , b ) 287.25 , c ) 194.25 , d ) 188.25 , e ) 112.25", - "Correct": "c", - "Explanation": "\"explanation : cp per kg of mixture = [ 44 ( 150 ) + 36 ( 125 ) ] / ( 44 + 36 ) = rs . 138.75 sp = cp [ ( 100 + profit % ) / 100 ] = 138.75 * [ ( 100 + 40 ) / 100 ] = rs . 194.25 answer : c\"" - }, - { - "Answer": 78.78787878787878, - "Options": "a ) 66 % , b ) 79 % , c ) 86 % , d ) 116 % , e ) 150 %", - "Correct": "b", - "Explanation": "let the price of company a ' s assets be 100 price of assets of kw is 30 % more than company a ' s assets which is 130 price of assets of kw is 100 % more than company b ' s assets which means price of company b ' s assets is half the price of kw = 65 a + b = 165 kw = 130 kw / ( a + b ) * 100 = 130 / 165 * 100 = 78.78 % or 79 % b" - }, - { - "Answer": 0.5, - "Options": "a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 1 , e ) 3", - "Correct": "c", - "Explanation": "\"concentration of salt in pure solution = 0 concentration of salt in salt solution = 45 % concentration of salt in the mixed solution = 15 % the pure solution and the salt solution is mixed in the ratio of - - > ( 45 - 15 ) / ( 15 - 0 ) = 2 / 1 1 / x = 2 / 1 x = 1 / 2 answer : c\"" - }, - { - "Answer": 3.75, - "Options": "a ) 3.75 % , b ) 5.93 % , c ) 4.75 % , d ) 5.33 % , e ) 6.33 %", - "Correct": "a", - "Explanation": "\"150 = ( 800 * 5 * r ) / 100 r = 3.75 % answer : a\"" - }, - { - "Answer": 8.6, - "Options": "a ) 9.0 % , b ) 9.4 % , c ) 9.2 % , d ) 8.8 % , e ) 8.6 %", - "Correct": "e", - "Explanation": "\"the amount of chromium in the new 15 + 35 = 50 kg alloy is 0.10 * 15 + 0.08 * 35 = 4.3 kg , so the percentage is 4.3 / 50 * 100 = 8.6 % . answer : e .\"" - }, - { - "Answer": 12.359550561797752, - "Options": "a ) 8.35 , b ) 9.35 , c ) 10.35 , d ) 11.35 , e ) 12.35", - "Correct": "e", - "Explanation": "\"selling price = rs 100 : then cost price = rs 89 : profit = rs 11 . profit = { ( 11 / 89 ) * 100 } % = 12.35 % answer is e .\"" - }, - { - "Answer": 14, - "Options": "a ) 4 % , b ) 7 % , c ) 9 % , d ) 3 % , e ) 14 %", - "Correct": "e", - "Explanation": "\"let sum = x . then , s . i . = 7 x / 5 , time = 10 years . rate = ( 100 * 7 x ) / ( x * 5 * 10 ) = 14 % answer : e\"" - }, - { - "Answer": 600, - "Options": "a ) 1100 , b ) 800 , c ) 1400 , d ) 600 , e ) none of them", - "Correct": "d", - "Explanation": "\"let c ' s capital = rs . x . then , b ' s capital = rs . ( 2 / 3 ) x a \u2019 s capital = rs . ( 3 x ( 2 / 3 ) . x ) = rs . 2 x . ratio of their capitals = 2 x : ( 2 / 3 ) x : x = 6 : 2 : 3 . hence , b ' s share = rs . ( 3300 x ( 2 / 11 ) ) = rs . 600 answer is d .\"" - }, - { - "Answer": 11, - "Options": "a ) 18 , b ) 16 , c ) 26 , d ) 17 , e ) 11", - "Correct": "e", - "Explanation": "\"explanation : 1500 - - - - 165 100 - - - - ? = > 11 % answer : e\"" - }, - { - "Answer": 104.99999999999999, - "Options": "a ) 80 % , b ) 105 % , c ) 120 % , d ) 124.2 % , e ) 138 %", - "Correct": "b", - "Explanation": "\"0,105 r = x / 100 * 0.1 r answer b\"" - }, - { - "Answer": 65, - "Options": "a ) 12 , b ) 27 , c ) 29 , d ) 50 , e ) 65", - "Correct": "e", - "Explanation": "sp per metre = 18000 / 300 = rs . 60 loss per metre = rs . 5 cp per metre = 60 + 5 = rs . 65 . answer : e" - }, - { - "Answer": 40, - "Options": "a ) 277 , b ) 36 , c ) 64 , d ) 40 , e ) none of these", - "Correct": "d", - "Explanation": "\"? % of 360 = 144 or , ? = 144 \u00d7 100 / 360 = 40 answer d\"" - }, - { - "Answer": 1200, - "Options": "a ) 1680 , b ) 1600 , c ) 1200 , d ) 1500 , e ) 600", - "Correct": "c", - "Explanation": "\"formula = total = 100 % , increase = ` ` + ' ' decrease = ` ` - ' ' a number means = 100 % that same number increased by 40 % = 140 % 140 % - - - - - - - > 1680 ( 140 \u00e3 \u2014 12 = 1680 ) 100 % - - - - - - - > 1200 ( 100 \u00e3 \u2014 12 = 1200 ) option ' c '\"" - }, - { - "Answer": 160, - "Options": "a ) 80 % , b ) 105 % , c ) 120 % , d ) 124.2 % , e ) 160 %", - "Correct": "e", - "Explanation": "\"x = profits r = revenue x / r = 0,1 x = 10 r = 100 2009 : r = 80 x / 80 = 0,2 = 15 / 100 x = 80 * 20 / 100 x = 16 16 / 10 = 1,6 = 160 % , answer e\"" - }, - { - "Answer": 0.225, - "Options": "a ) 0.275 d , b ) 0.225 d , c ) 0.265 d , d ) 0.245 d , e ) 0.205 d", - "Correct": "b", - "Explanation": "\"effective discount = a + b + ab / 100 = - 55 - 50 + ( - 55 ) ( - 50 ) / 100 = 77.5 sale price = d * ( 1 - 77.5 / 100 ) sale price = . 225 * d answer ( b )\"" - }, - { - "Answer": 173.20508075688772, - "Options": "a ) 125 , b ) 173 , c ) 225 , d ) 250 , e ) 500", - "Correct": "b", - "Explanation": "\"90 = x / 100 * 30 / 100 * x = > x ^ 2 = 9 * 10000 / 3 = > x = 173 b\"" - }, - { - "Answer": 6.25, - "Options": "a ) 6 , b ) 6.25 , c ) 7.25 , d ) 7.5 , e ) 8", - "Correct": "b", - "Explanation": "\"required run rate = 282 - ( 3.2 x 10 ) = 250 = 6.25 40 40 b\"" - }, - { - "Answer": 75, - "Options": "a ) rs . 75 , b ) rs . 36 , c ) rs . 54 , d ) rs . 50 , e ) none", - "Correct": "a", - "Explanation": "\"solution t . d = [ b . g x 100 / r x t ] = rs . ( 9 x 100 / 12 x 1 ) = rs . 75 . answer a\"" - }, - { - "Answer": 12.5, - "Options": "a ) 12.5 % , b ) 30 % , c ) 35 % , d ) 37.5 % , e ) 40 %", - "Correct": "a", - "Explanation": "\"assume the total price = 100 x price after 20 % markup = 120 x price after 25 % further markup = 1.25 * 120 x = 150 x price after the discount = 0.75 * 150 x = 112.5 x hence total profit = 12.5 % option a\"" - }, - { - "Answer": 50, - "Options": "a ) 2 , b ) 50 , c ) 92 , d ) 96 , e ) 98", - "Correct": "b", - "Explanation": "\"out of 100 pounds 99 % or 99 pounds is water and 1 pound is non - water . after some water evaporates the cucumbers become 98 % water and 2 % of non - water , so now 1 pound of non - water composes 2 % of cucucmbers , which means that the new weight of cucumbers is 1 / 0.02 = 50 pounds . answer : b .\"" - }, - { - "Answer": 16.5, - "Options": "a ) 18 , b ) 91 , c ) 16.5 , d ) 17 , e ) 12", - "Correct": "c", - "Explanation": "\"( 60 / 100 ) * 50 \u2013 ( 45 / 100 ) * 30 30 - 13.5 = 16.5 answer : c\"" - }, - { - "Answer": 6615, - "Options": "a ) $ 6715 , b ) $ 5615 , c ) $ 6415 , d ) $ 6615 , e ) $ 6315", - "Correct": "d", - "Explanation": "interest for 1 st year = 6000 * 5 / 100 = 300 interest for 2 nd year = 6300 * 5 / 100 = 315 total = 6000 + 300 + 315 = 6615 answer : d" - }, - { - "Answer": 1076.923076923077, - "Options": "a ) 1000 , b ) 2876 , c ) 1077 , d ) 2778 , e ) 2711", - "Correct": "c", - "Explanation": "\"90 % 103 % - - - - - - - - 13 % - - - - 140 100 % - - - - ? = > rs . 1077 answer : c\"" - }, - { - "Answer": 40, - "Options": "a ) 10 , b ) 30 , c ) 20 , d ) 40 , e ) 50", - "Correct": "d", - "Explanation": "number of gallons of fuel per mile = 500 / 20 = 25 gallons per mile number of gallons of fuel for a 1000 mile car = 1000 / 25 = 40 answer : d" - }, - { - "Answer": 1000, - "Options": "a ) 1218 , b ) 2777 , c ) 1000 , d ) 2688 , e ) 1991", - "Correct": "c", - "Explanation": "\"cp * ( 76 / 100 ) = 760 cp = 10 * 100 = > cp = 1000 answer : c\"" - }, - { - "Answer": 5250, - "Options": "a ) $ 1000 , b ) $ 5250 , c ) $ 2500 , d ) $ 4500 , e ) $ 1200", - "Correct": "b", - "Explanation": "\"let a ' s salary is x b ' s salary = 7000 - x ( 100 - 95 ) % of x = ( 100 - 85 ) % of ( 7000 - x ) x = $ 5250 answer is b\"" - }, - { - "Answer": 2.510000000000005, - "Options": "a ) 2.51 % , b ) 4.51 % , c ) 3.51 % , d ) 6.51 % , e ) 7.51 %", - "Correct": "a", - "Explanation": "let d initial price be 100 34 % rise now price = 134 / 100 * 100 = 134 10 % discount then price = 134 * 90 / 100 = 120.6 15 % discount then price = 120.6 * 85 / 100 = 102.51 so gain = 102.51 - 100 = 2.51 gain % = gain * 100 / cp = = > 2.51 * 100 / 100 = 2.51 % answer : a" - }, - { - "Answer": 1.74, - "Options": "a ) 1.74 % , b ) 1.94 % , c ) 10 % , d ) 15 % , e ) 19 %", - "Correct": "a", - "Explanation": "\"i think there is a typo in question . it should have been ` ` by weight liquid ' x ' makes up . . . . . ` ` weight of liquid x = 0.8 % of weight of a + 1.8 % of weight of b when 600 gms of a and 700 gms of b is mixed : weight of liquid x = ( 0.8 * 600 ) / 100 + ( 1.8 * 700 ) / 100 = 17.4 gms % of liquid x in resultant mixture = ( 17.4 / 1000 ) * 100 = 1.74 % a\"" - }, - { - "Answer": 3660, - "Options": "a ) 3660 , b ) 2881 , c ) 2887 , d ) 9977 , e ) 2212", - "Correct": "a", - "Explanation": "\"6300 : 4200 : 10500 3 : 2 : 5 3 / 10 * 12200 = 3660 . answer : a\"" - }, - { - "Answer": 100.00000000000003, - "Options": "a ) 20 % , b ) 40 % , c ) 60 % , d ) 80 % , e ) 100 %", - "Correct": "e", - "Explanation": "\"let t be the total number of passengers . let x be the number of people with round trip tickets . 0.2 t had round trip tickets and took their cars . 0.2 x had round trip tickets and took their cars . 0.2 x = 0.2 t x = t the answer is e .\"" - }, - { - "Answer": 88, - "Options": "a ) 88 sec , b ) 45 sec , c ) 1 min , d ) 32 sec , e ) 25 sec", - "Correct": "a", - "Explanation": "\"speed = 9 km / hr = 9 * 5 / 18 = 5 / 2 m / sec distance = 55 * 4 = 220 m time taken = 220 * 2 / 5 = 88 sec answer is a\"" - }, - { - "Answer": 25, - "Options": "a ) $ 15 , b ) $ 20 , c ) $ 25 , d ) $ 30 , e ) $ 22", - "Correct": "c", - "Explanation": "\"10 % of ( 50 % of $ 500 ) = 10 / 100 ( 50 / 100 * 500 ) = $ 25 answer is c\"" - }, - { - "Answer": 36, - "Options": "a ) 12 , b ) 15 , c ) 20 , d ) 24 , e ) 36", - "Correct": "e", - "Explanation": "\"60 liters of a 20 % hno 3 solution means hno 3 = 12 liters in 60 liters of the solution . now , let x be the pure hno 3 added . as per question , 12 + x = 50 % of ( 60 + x ) or x = 36 . hence , e\"" - }, - { - "Answer": 60, - "Options": "a ) rs . 55 , b ) rs . 60 , c ) rs . 65 , d ) rs . 70 , e ) rs . 75", - "Correct": "b", - "Explanation": "\"explanation : 1800 * ( 30 / 100 ) = 540 - - - - 9 ? - - - - 1 = > rs . 60 answer : b\"" - }, - { - "Answer": 46.66666666666666, - "Options": "a ) 10 % , b ) 33.33 % , c ) 46.66 % , d ) 50 % , e ) 66.66 %", - "Correct": "c", - "Explanation": "\"- - - - - - - - - - - - - - - - > ryegrass x - - - - - - - - - - - - - - > 40 % y - - - - - - - - - - - - - - > 25 % m ( mixture ) - - - - > 32 % 0.4 x + ( m - x ) 0.25 = 0.32 m 0.15 x = 0.07 m x = 0.4666 m x = 46.66 % of m c\"" - }, - { - "Answer": 846.1538461538462, - "Options": "a ) 191 , b ) 355 , c ) 737 , d ) 846 , e ) 1,560", - "Correct": "d", - "Explanation": "\"let weight of side of beef before processing = x ( 65 / 100 ) * x = 550 = > x = ( 550 * 100 ) / 65 = 846 answer d\"" - }, - { - "Answer": 65, - "Options": "a ) 62.5 , b ) 62.3 , c ) 65 , d ) 62.2 , e ) 62.9", - "Correct": "c", - "Explanation": "\"cp = 47.50 sp = 47.50 * ( 130 / 100 ) = 61.75 mp * ( 95 / 100 ) = 61.75 mp = 65 answer : c\"" - }, - { - "Answer": 6, - "Options": "a ) 1.2 , b ) 1.4 , c ) 6 , d ) 7 , e ) none", - "Correct": "c", - "Explanation": "\"sol . s . i . = rs . [ 20 * 5 / 100 * 6 ] = rs . 6 answer c\"" - }, - { - "Answer": 36, - "Options": "a ) 25 , b ) 19 , c ) 39 , d ) 61 , e ) 36", - "Correct": "e", - "Explanation": "\"let the required number of bottles be x . more weavers , more mats ( direct proportion ) more days , more mats ( direct proportion ) wavers 4 : 12 : : 4 : x days 4 : 12 4 * 4 * x = 12 * 12 * 4 x = ( 12 * 12 * 4 ) / ( 4 x 4 ) x = 36 . answer is e .\"" - }, - { - "Answer": 6615, - "Options": "a ) 5300.0 , b ) 24580.0 , c ) 16537.5 , d ) 7120.0 , e ) 6615.0", - "Correct": "e", - "Explanation": "p = rs . 6000 ; r = 10 % p . a . = 5 % per half - year ; t = 1 year = 2 half - year amount = [ 6000 * ( 1 + 5 / 100 ) 2 ] = ( 6000 * 21 / 20 * 21 / 20 ) = rs . 6615.00 answer : e" - }, - { - "Answer": 112.5, - "Options": "a ) 110.5 , b ) 111.5 , c ) 112.5 , d ) 113.5 , e ) none of these", - "Correct": "c", - "Explanation": "explanation : two things need to give attention in this question , first we need to calculate gain for 1 year only . gain in 2 year = [ ( 5000 \u00d7 254 \u00d7 2100 ) \u2212 ( 5000 \u00d7 4 \u00d7 2100 ) ] = ( 625 \u2212 400 ) = 225 so gain for 1 year = 2252 = 112.50 answer : c" - }, - { - "Answer": 2.01, - "Options": "a ) 4.05 % , b ) 4.02 % , c ) 4 % , d ) 3 % , e ) 2.01 %", - "Correct": "e", - "Explanation": "\"percentage error in calculated area = ( 1 + 1 + ( 1 \u00e3 \u2014 1 ) / 100 ) % = 2.01 % answer : e\"" - }, - { - "Answer": 50, - "Options": "a ) 10 % , b ) 20 % , c ) 40 % , d ) 50 % , e ) 60 %", - "Correct": "d", - "Explanation": "\"explanation : change in the price = rs 450 \u00e2 \u20ac \u201c rs 300 = rs 150 percentage of increase = change in the price initial price * 100 . percentage increase in price = ( 150 300 ) * 100 = 50 % d\"" - }, - { - "Answer": 6000, - "Options": "a ) 3000 , b ) 6000 , c ) 2000 , d ) 4000 , e ) none of them", - "Correct": "b", - "Explanation": "\"let sum = p and original rate = r . then , [ ( p * ( r + 2 ) * 3 ) / 100 ] \u2013 [ ( p * r * 3 ) / 100 ] = 360 . = 3 pr + 6 p - 3 pr = 36000 \uf0db 6 p = 36000 \uf0db p = 6000 hence , sum = rs . 6000 . answer is b .\"" - }, - { - "Answer": 60, - "Options": "a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60", - "Correct": "e", - "Explanation": "\"( c . p . of 17 balls ) - ( s . p . of 17 balls ) = ( c . p . of 5 balls ) c . p . of 12 balls = s . p . of 17 balls = rs . 720 . c . p . of 1 ball = rs . 720 / 12 = rs . 60 . answer : e\"" - }, - { - "Answer": 17600, - "Options": "a ) 12880 , b ) 12789 , c ) 27108 , d ) 17600 , e ) 18291", - "Correct": "d", - "Explanation": "\"explanation : price at which the tv set is bought = rs . 12,500 discount offered = 20 % marked price = 12500 * 100 / 80 = rs . 15625 the total amount spent on transport and installation = 125 + 250 = rs . 375 \\ total price of tv set = 15625 + 375 = rs . 16000 the price at which the tv should be sold to get a profit of 10 % if no discount was offered = 16000 * 110 / 100 = rs . 17600\"" - }, - { - "Answer": 333200, - "Options": "a ) 355600 , b ) 355800 , c ) 356500 , d ) 356800 , e ) 333200", - "Correct": "e", - "Explanation": "total number of invalid votes = 15 % of 560000 = 15 / 100 \u00d7 560000 = 8400000 / 100 = 84000 total number of valid votes 560000 \u2013 84000 = 476000 percentage of votes polled in favour of candidate a = 70 % therefore , the number of valid votes polled in favour of candidate a = 70 % of 476000 = 70 / 100 \u00d7 476000 = 33320000 / 100 = 333200 e )" - }, - { - "Answer": 4.5, - "Options": "a ) 1.5 , b ) 2.5 , c ) 3.5 , d ) 4.5 , e ) 5.5", - "Correct": "d", - "Explanation": "10 grams of combined mixture and 40 % blue pigment means that the mixtures were mixed 50 % each . thus 5 grams a piece . out of the 5 grams of the dark blue paint , 60 % is red . therefore , 5 * . 9 = 4.5 grams of red pigment" - }, - { - "Answer": 9.399999999999999, - "Options": "a ) 9.4 , b ) 20 , c ) 50 , d ) 30 , e ) 40", - "Correct": "a", - "Explanation": "\"man ' s speed with the current = 15 km / hr = > speed of the man + speed of the current = 15 km / hr speed of the current is 2.8 km / hr hence , speed of the man = 15 - 2.8 = 12.2 km / hr man ' s speed against the current = speed of the man - speed of the current = 12.2 - 2.8 = 9.4 km / hr answer is a .\"" - }, - { - "Answer": 6.09, - "Options": "a ) 6.06 % , b ) 6.07 % , c ) 6.08 % , d ) 6.09 % , e ) none", - "Correct": "d", - "Explanation": "\"solution amount of rs . 100 for 1 year when compounded half yearly = rs . [ 100 x ( 1 + 3 / 100 ) 2 ] = rs . 106.09 % . effective rate = ( 106.09 - 100 ) % = rs . 6.09 % . answer d\"" - }, - { - "Answer": 2.5000000000001137, - "Options": "a ) $ 2.5 , b ) $ 15 , c ) $ 50 , d ) $ 100 , e ) $ 105", - "Correct": "a", - "Explanation": "\"compounded annually means that the interest is applied once per year . one can have 10 % annual interest compounded monthly - in this case 10 % / 12 would be applied each month , or 10 % annual interest compounded daily etc . with respect to the problem at hand , at the end of two years , tim would have 500 ( 1.10 ) ^ 2 = 500 ( 1.21 ) = 605 and lana would have 1,000 ( 1.05 ) ^ 2 = 1,000 ( 1.1025 ) = 1102.5 thus , tim earned 105 dollars , while lana earned 102.5 dollars the difference is $ 2.5 and the answer is a .\"" - }, - { - "Answer": 2450.0000000000005, - "Options": "a ) 2250 , b ) 2450 , c ) 2650 , d ) 2850 , e ) 3050", - "Correct": "b", - "Explanation": "\"let x be the total number of votes . 0.33 x + 833 = 0.67 x 0.34 x = 833 x = 833 / 0.34 = 2450 the answer is b .\"" - }, - { - "Answer": 16, - "Options": "a ) 20 , b ) 15 , c ) 16 , d ) 25 , e ) 30", - "Correct": "c", - "Explanation": "\"15 / 100 * 40 - 25 / 100 * x = 2 or x / 4 = 4 so x = 16 answer c\"" - }, - { - "Answer": 4.5, - "Options": "a ) 5 % , b ) 8 % , c ) 3 % , d ) 4.5 % , e ) 1 %", - "Correct": "d", - "Explanation": "\"144 = ( 800 * 4 * r ) / 100 r = 4.5 % answer : d\"" - }, - { - "Answer": 9999.999999999998, - "Options": "a ) 20029 , b ) 20000 , c ) 10000 , d ) 20027 , e ) 20026", - "Correct": "c", - "Explanation": "\"let the total worth of the stock be rs . x . the sp of 20 % of the stock = 1 / 5 * x * 1.1 = 11 x / 50 the sp of 80 % of the stock = 4 / 5 * x * 0.95 = 19 x / 25 = 38 x / 50 total sp = 11 x / 50 + 38 x / 50 = 49 x / 50 overall loss = x - 49 x / 50 = x / 50 x / 50 = 200 = > x = 10000 answer : c\"" - }, - { - "Answer": 67.4715909090909, - "Options": "a ) 62.5 , b ) 67.5 , c ) 62.7 , d ) 62.2 , e ) 62.9", - "Correct": "b", - "Explanation": "\"cp = 47.50 sp = 47.50 * ( 125 / 100 ) = 59.375 mp * ( 88 / 100 ) = 59.375 mp = 67.5 answer : b\"" - }, - { - "Answer": 16, - "Options": "a ) $ 4 , b ) $ 8 , c ) $ 12 , d ) $ 16 , e ) $ 432", - "Correct": "d", - "Explanation": "\"solution amount ( ci ) = p + ( 1 + r / n ) ^ nt = 5000 + ( 1 + 0.16 / 2 ) ^ 2 = 5416 amount ( si ) = p + ptr / 100 = 5000 + ( 5000 * 1 * 16 / 100 ) = 5400 difference = 5416 - 5400 = 16 $ d\"" - }, - { - "Answer": 0.4777777777777778, - "Options": "a ) 0.5 , b ) 0.6 , c ) 0.48 , d ) 0.65 , e ) 0.45", - "Correct": "c", - "Explanation": "\"cost price = 180 s . p = 180 * 120 / 100 = 216 disc = 50 so . . . mark price = 216 + 50 = 266 . . . . . . mark up % = 266 - 180 / 180 = 86 / 180 = . 48 or 48 % answer : c\"" - }, - { - "Answer": 5760, - "Options": "a ) 4670 , b ) 4546 , c ) 4556 , d ) 4675 , e ) 5760", - "Correct": "e", - "Explanation": "1 / x - 1 / 6 = - 1 / 8 x = 24 hrs 24 * 60 * 4 = 5760 e" - }, - { - "Answer": 25, - "Options": "a ) 16.12 % , b ) 25 % , c ) 16.56 % , d ) 17.66 % , e ) 18.1 %", - "Correct": "b", - "Explanation": "\"increase = ( 15 / 60 ) * 100 = ( 1 / 4 ) * 100 = 25 % . b\"" - }, - { - "Answer": 440, - "Options": "a ) 440 , b ) 570 , c ) 480 , d ) 520 , e ) 550", - "Correct": "a", - "Explanation": "\"let the total number of valid votes be x . 70 % of x = 70 / 100 * x = 7 x / 10 number of votes secured by the other candidate = x - 7 x / 100 = 3 x / 10 given , 7 x / 10 - 3 x / 10 = 176 = > 4 x / 10 = 176 = > 4 x = 1760 = > x = 440 . answer : a\"" - }, - { - "Answer": 1.5625, - "Options": "a ) $ 1.56 , b ) $ 1.88 , c ) $ 2.25 , d ) $ 2.50 , e ) $ 3.25", - "Correct": "a", - "Explanation": "\"6 regular days - - > sales = 6 * 32 * x = 192 x ; 4 hot days - - > sales = 4 * 32 * ( 1.25 x ) = 160 x ; total sales = 192 x + 160 x = 352 x . total cost = 10 * 32 * 0.75 = 240 . profit = 352 x - 240 = 200 - - > x = 1.25 . 1.25 x = ~ 1.56 . answer : a .\"" - }, - { - "Answer": 5300.000000000001, - "Options": "a ) 5100 , b ) 5200 , c ) 5300 , d ) 5400 , e ) 5500", - "Correct": "c", - "Explanation": "\"let x be the total number of votes . 0.32 x + 1908 = 0.68 x 0.36 x = 1908 x = 1908 / 0.36 = 5300 the answer is c .\"" - }, - { - "Answer": 60000, - "Options": "a ) 30000 , b ) 40000 , c ) 50000 , d ) 60000 , e ) 70000", - "Correct": "d", - "Explanation": "\"let first parrt is x and second part is y then x + y = 70000 - - - - - - - - - - eq 1 total profit = profit on x + profit on y 8000 = ( x * 10 * 1 ) / 100 + ( y * 20 * 1 ) / 100 80000 = x + 2 y - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - eq 2 80000 = 70000 + y so y = 10000 then x = 70000 - 10000 = 60000 first part = 60000 answer : d\"" - }, - { - "Answer": 200.00000000000003, - "Options": "a ) 70 , b ) 245 , c ) 150 , d ) 200 , e ) 350", - "Correct": "d", - "Explanation": "\"since 30 % of the boys from school a study science , then 70 % of the boys from school a do not study science and since 20 % of the total number of boys are from school a , then 0.2 * 0.7 = 0.14 , or 14 % of the boys in the camp are from school a and do not study science . we are told that this number equals to 28 , so 0.14 * { total } = 28 - - > { total } = 200 . answer : d .\"" - }, - { - "Answer": 6.25, - "Options": "a ) 93.5 , b ) 90 , c ) 6.75 , d ) 6.25 , e ) 2", - "Correct": "d", - "Explanation": "usually we can solve every question of this type by choosing appropriate value of the variable and deriving the value of other related variables . let , p = 400 then j = ( 75 / 100 ) * 400 = 300 also j = ( 80 / 100 ) * t i . e . t = 300 * 100 / 80 = 375 and t = [ 1 - ( t / 100 ) ] * p i . e . 100 - t = 100 * t / p = 100 * 375 / 400 = 93.75 i . e . t = 6.25 answer : option d" - }, - { - "Answer": 10, - "Options": "a ) 70 % , b ) 20 % , c ) 10 % , d ) 28 % , e ) 20 %", - "Correct": "c", - "Explanation": "\"p = ( p * 10 * r ) / 100 r = 10 % answer : c\"" - }, - { - "Answer": 48, - "Options": "a ) 40 % , b ) 44 % , c ) 48 % , d ) 52 % , e ) 56 %", - "Correct": "c", - "Explanation": "let x be the number of students in calculus . then the number of students in trigonometry is 1.5 x the number of students on beginner calculus is 0.8 x the number of students in beginner trigonometry is 4 / 5 * ( 2.5 x ) - 0.8 x = 1.2 x the percentage in beginner trigonometry is 1.2 x / 2.5 x = 48 % the answer is c ." - }, - { - "Answer": 120, - "Options": "a ) 80 , b ) 95 , c ) 105 , d ) 120 , e ) 210", - "Correct": "d", - "Explanation": "\"set up equation : x = total number of workers 120 = 0,4 * 2 / 3 * x + 0,7 * 1 / 3 * x 120 = 15 / 30 x x = 240 240 - 120 = 120 answer d\"" - }, - { - "Answer": 10, - "Options": "a ) $ 25 , b ) $ 10 , c ) $ 29.65 , d ) $ 35.95 , e ) $ 45.62", - "Correct": "b", - "Explanation": "\"s . p . of each of the article = 50 / 2 = $ 25 let m . p = $ x 40 % of x = 25 x = 25 * . 4 = $ 10 answer is b\"" - }, - { - "Answer": 6, - "Options": "a ) 4 % , b ) 6 % , c ) 8 % , d ) 10 % , e ) 12 %", - "Correct": "b", - "Explanation": "\"1272 - 1200 = 72 is the rate of interest on $ 1200 for one year . the rate of interest = ( 100 * 72 ) / ( 1200 ) = 6 % the answer is b .\"" - }, - { - "Answer": 661.5, - "Options": "a ) $ 661.50 , b ) $ 663.50 , c ) $ 665.50 , d ) $ 667.50 , e ) $ 669.50", - "Correct": "a", - "Explanation": "\"1.05 * 1.05 * 600 = $ 661.50 the answer is a .\"" - }, - { - "Answer": 220, - "Options": "a ) 180 , b ) 190 , c ) 200 , d ) 210 , e ) 220", - "Correct": "e", - "Explanation": "e 220 to pass the exam ravish needs 30 + 36 = 66 marks . = > ( 66 / 30 ) * 100 = 220" - }, - { - "Answer": 200, - "Options": "a ) 2.5 % , b ) 15 % , c ) 25 % , d ) 35 % , e ) 200 %", - "Correct": "e", - "Explanation": "answer = e 20 a / 100 = 10 b / 100 b = 20 a / 10 = 200 a / 100 = 200 %" - }, - { - "Answer": 4.75, - "Options": "a ) $ 4.95 , b ) $ 4.75 , c ) $ 5.05 , d ) $ 4.50 , e ) $ 5.25", - "Correct": "b", - "Explanation": "wholesale cost of milk = $ 4 milk was priced at 25 % above $ 4 = $ 5 % discount given by coupon = 5 % customer paid = . 95 * 5 = $ 4.75 answer b" - }, - { - "Answer": 400, - "Options": "a ) 133 , b ) 376 , c ) 377 , d ) 400 , e ) 377", - "Correct": "d", - "Explanation": "let the maximum marks be m . ashley \u2019 s marks = 83 % of m ashley secured 332 marks therefore , 83 % of m = 332 \u21d2 83 / 100 \u00d7 m = 332 \u21d2 m = ( 332 \u00d7 100 ) / 83 \u21d2 m = 33200 / 83 \u21d2 m = 400 therefore , ashley got 332 marks out of 400 marks . answer : d" - }, - { - "Answer": 360, - "Options": "a ) 320 , b ) 360 , c ) 400 , d ) 408.3 , e ) 440", - "Correct": "b", - "Explanation": "\"the question stem asks us for the distance possible with 10 gallons of fuel at a constant speed of 60 miles per hour . we therefore first calculate the fuel efficiency at that speed . the stem tells us that at 45 miles / hour , the car will run 45 miles / gallon and at 60 miles / hour , that distance decreases by 20 % . we can therefore conclude that the car will travel 36 miles / gallon at a constant speed of 60 miles / gallon . with 10 gallons of fuel , the car can therefore travel 36 miles / gallon * 10 gallons = 360 miles . answer b .\"" - }, - { - "Answer": 2.5, - "Options": "a ) 1 , b ) 2.5 , c ) 3 , d ) 4 , e ) 5", - "Correct": "b", - "Explanation": "15 % of 75 = 11.25 450 * x / 100 = 11.25 x = 2.5 answer : b" - }, - { - "Answer": 16, - "Options": "a ) 14 , b ) 16 , c ) 18 , d ) 20 , e ) 22", - "Correct": "b", - "Explanation": "\"explanation : 15 / 100 * 40 - 25 / 100 * x = 2 or x / 4 = 4 so x = 16 option b\"" - }, - { - "Answer": 1800, - "Options": "a ) 1800 , b ) 1420 , c ) 1430 , d ) 1440 , e ) 1540", - "Correct": "a", - "Explanation": "\"s . p . = 90 % of rs . 2000 = 90 / 100 x 2000 = rs . 1800 answer : a\"" - }, - { - "Answer": 896, - "Options": "a ) 220 , b ) 230 , c ) 960 , d ) 780 , e ) 896", - "Correct": "e", - "Explanation": "\"c . p . = rs . x . then , 832 - x = x - 448 2 x = 1280 = > x = 640 required s . p . = 140 % of rs . 640 = 140 / 100 * 640 = rs . 896 . e\"" - }, - { - "Answer": 135, - "Options": "a ) 130 , b ) 135 , c ) 140 , d ) 150 , e ) 145", - "Correct": "b", - "Explanation": "\"assume that face value = rs . 100 . dividend per share = rs . 9 ( as it is a 9 % stock ) by investing rs . 1800 , he earns rs . 120 investment needed to earn rs . 9 = 1800 \u00d7 9 / 120 = rs . 135 ie , stock is then quoted ( then market value ) = rs . 135 answer is b .\"" - }, - { - "Answer": 40, - "Options": "a ) 20 % , b ) 33.3 % , c ) 40 % , d ) 60 % , e ) 66.6 %", - "Correct": "c", - "Explanation": "\"let the price of a ticket be rs . 100 , so 3 tickets cost 300 & 5 tickets cost 500 5 tickets purchased at price of 3 tickets ie . , for 300 , so amount saved s rs . 200 , % of 5 tickets = ( 200 / 500 ) * 100 = 40 % answer : c\"" - }, - { - "Answer": 63.16489361702128, - "Options": "a ) 63.16 , b ) 62.6 , c ) 62.1 , d ) 62.7 , e ) 62.2", - "Correct": "a", - "Explanation": "\"cp = 47.50 sp = 47.50 * ( 125 / 100 ) = 59.375 mp * ( 94 / 100 ) = 59.375 mp = 63.16 answer : a\"" - }, - { - "Answer": 17000, - "Options": "a ) 33498 , b ) 17000 , c ) 2665 , d ) 28876 , e ) 313", - "Correct": "b", - "Explanation": "\"the simple interest for the first year is 10200 / 2 is rs . 5100 and compound interest for first year also is rs . 5100 . the compound interest for second year on rs . 5100 for one year so rate of the interest = ( 100 * 1530 ) / ( 5100 * 1 ) = 30 % p . a . so p = ( 100 * 10200 ) / ( 30 * 2 ) = rs . 17000 answer : b\"" - }, - { - "Answer": 51.304347826086946, - "Options": "a ) 30 % , b ) 51 % , c ) 90 % , d ) 100 % , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : let c . p . = rs . 100 . then , profit = rs . 130 , s . p . = rs . 230 . new c . p . = 112 % of rs . 100 = rs . 112 new s . p . = rs . 230 . profit = rs . ( 230 - 112 ) = rs . 118 . required percentage = ( 118 / 230 * 100 ) % = 51 % appox answer : b\"" - }, - { - "Answer": 24, - "Options": "a ) 17 % , b ) 24 % , c ) 12 % , d ) 82 % , e ) 16 %", - "Correct": "b", - "Explanation": "\"original price = 100 cp = 80 s = 80 * ( 155 / 100 ) = 124 100 - 124 = 24 % answer : b\"" - }, - { - "Answer": 6.000000000000009, - "Options": "a ) 6 , b ) 6.6 , c ) 60 , d ) 100 , e ) 110", - "Correct": "a", - "Explanation": "b takes x hours a takes x + 10 hours rate of a = 660 / x + 10 rate of b = 660 / x thus , 660 / x = ( 660 / x + 10 ) * 1.10 x = 100 so b = 100 a = 110 sprockets per hour 660 / 110 = 6 answer : a" - }, - { - "Answer": 3744, - "Options": "a ) 776 , b ) 3744 , c ) 299 , d ) 257 , e ) 125", - "Correct": "b", - "Explanation": "\"w = 52 % l = 48 % 52 % - 48 % = 4 % 4 % - - - - - - - - 288 52 % - - - - - - - - ? = > 3744 answer : b\"" - }, - { - "Answer": 9, - "Options": "a ) 3 % decrease , b ) 5 % decrease , c ) 9 % decrease , d ) 4 % decrease , e ) 8 % decrease", - "Correct": "c", - "Explanation": "( 30 * 30 ) / 100 = 9 % decrease answer : c :" - }, - { - "Answer": 3690, - "Options": "a ) 3630 , b ) 3690 , c ) 2887 , d ) 9977 , e ) 2212", - "Correct": "b", - "Explanation": "\"6300 : 4200 : 10500 3 : 2 : 5 3 / 10 * 12300 = 3690 . answer : b\"" - }, - { - "Answer": 44, - "Options": "a ) 44 % increase , b ) 44 % decrease , c ) 66 % increase , d ) 75 % increase , e ) none of these", - "Correct": "a", - "Explanation": "let the original price be x and sale be of y units . then , the revenue collected initially = x \u00d7 y now , new price = 0.8 x , new sale = 1.8 y then , new revenue collected = 1.44 xy % increase in revenue = 0.44 xy / xy \u00d7 100 = 44 % increase answer a" - }, - { - "Answer": 200, - "Options": "a ) 277 , b ) 209 , c ) 121 , d ) 200 , e ) 128", - "Correct": "d", - "Explanation": "\"let the sp of the refrigerator and the mobile phone be rs . r and rs . m respectively . r = 15000 ( 1 - 4 / 100 ) = 15000 - 600 m = 8000 ( 1 + 10 / 100 ) = 8000 + 800 total sp - total cp = r + m - ( 15000 + 8000 ) = - 600 + 800 = rs . 200 as this is positive , an overall profit of rs . 200 was made . answer : d\"" - }, - { - "Answer": 9.090909090909092, - "Options": "a ) 9.1 % , b ) 6.23 % , c ) 7 % , d ) 8.12 % , e ) 10 %", - "Correct": "a", - "Explanation": "\"c . p . = 4700 + 800 = $ 5500 s . p . = $ 6000 gain = 6000 - 5500 = $ 500 gain % = 500 / 5500 * 100 = 9.1 % answer is a\"" - }, - { - "Answer": 4303.000000000004, - "Options": "a ) 2372 , b ) 2572 , c ) 4303 , d ) 2343 , e ) 3972", - "Correct": "c", - "Explanation": "let p = rs . 100 . then , s . i . rs . 60 and t = 6 years . r = 100 x 60 = 10 % p . a . 100 x 6 now , p = rs . 13000 . t = 3 years and r = 10 % p . a . c . i . = rs . 13000 x 1 + 10 3 - 1 100 = rs . 13000 x 331 1000 = 4303 . c" - }, - { - "Answer": 41.30434782608695, - "Options": "a ) 16 % , b ) 17 % , c ) 18 % , d ) 41 % , e ) 13 %", - "Correct": "d", - "Explanation": "\"total cp = rs . 34000 + rs . 12000 = rs . 46000 and sp = rs . 65000 profit ( % ) = ( 65000 - 46000 ) / 46000 * 100 = 41 % answer : d\"" - }, - { - "Answer": 2645.999999999999, - "Options": "a ) rs . 2535 , b ) rs . 2646 , c ) rs . 2546 , d ) rs . 2656 , e ) rs . 2565", - "Correct": "b", - "Explanation": "\"let the sum be rs . p p { [ 1 + 5 / 100 ] 2 - 1 } = 246 p ( 5 / 100 ) ( 2 + 5 / 100 ) = 246 [ a 2 - b 2 = ( a - b ) ( a + b ) ] p = 246 / ( 0.05 ) ( 2.05 ) = 2400 . amount = rs . 2646 answer : b\"" - }, - { - "Answer": 1, - "Options": "a ) 1 , b ) 20 , c ) 2 , d ) 200 , e ) 2.5", - "Correct": "a", - "Explanation": "\"i find it much easier to understand with real numbers , so choose ( almost ) any numbers to replace m , n and p : in a certain village , m 200 litres of water are required per household per month . at this rate , if there aren 10 households in the village , how long ( in months ) willp 2000 litres of water last ? water required is 200 * 10 = 2000 ( m * n ) water available is 2000 ( p ) it will last 1 months ( p / m * n ) answer ( a )\"" - }, - { - "Answer": 68, - "Options": "a ) 62 % , b ) 68 % , c ) 52 % , d ) 22 % , e ) 42 %", - "Correct": "b", - "Explanation": "\"total = 100 t = 80 nt = 20 80 * ( 20 / 100 ) = 24 80 * ( 20 / 100 ) = 24 16 + 16 = 32 = > 100 - 32 = 68 % answer : b\"" - }, - { - "Answer": 20, - "Options": "a ) 10 % , b ) 30 % , c ) 20 % , d ) 70 % , e ) 45 %", - "Correct": "c", - "Explanation": "d 20 % clearly , the numbers which have 1 or 9 in the unit ' s digit , have squares that end in the digit 1 . such numbers from 1 to 70 are 1 , 9 , 11 , 19 , 21 , 29 , 31 , 39 , 41 , 49 , 51 , 59 , 61 , 69 . number of such number = 14 required percentage = ( 14 x 100 / 70 ) % = 20 % ." - }, - { - "Answer": 15, - "Options": "a ) 6 , b ) 6.67 , c ) 12 , d ) 13 , e ) 15", - "Correct": "e", - "Explanation": "\"we assume that 80 is 100 % assume ' x ' is value we looking for here , 80 = 100 % and x % = 12 therefore , 100 / x = 80 / 12 100 / x = 6.6667 x = 15 e\"" - }, - { - "Answer": 1.210000000000002, - "Options": "a ) 1.21 % , b ) 2.56 % , c ) 3.12 % , d ) 4.65 % , e ) 5.12 %", - "Correct": "a", - "Explanation": "\"in such a case there is always a loss loss % = ( 11 / 10 ) ^ 2 = 23 / 19 = 1.21 % answer is a\"" - }, - { - "Answer": 60, - "Options": "a ) 40 % , b ) 60 % , c ) 50 % , d ) 45 % , e ) 55 %", - "Correct": "b", - "Explanation": "yes there is a simple method : consider the following method brand a : 60 % millet and 40 % sunflower brand b : 65 % millet and 35 % safflower mix : 50 % millet here the weighted average is 50 % , now brand a has 60 % millet , which is 10 % more than the weighted average of mix = + 0.10 a - - - - - - - - - - - - - - - i similarly , brand b has 65 % millet , which is 15 % more than the weighted average of mix = + 0.15 b - - - - - - - - - - - - ii now , both brand a and brand b are combined to give a 50 % mix containing millet , so equate i and ii implies , 0.10 a = 0.15 b therefore a / b = 0.15 / 0.10 = 3 / 2 a : b : ( a + b ) = 3 : 2 : ( 3 + 2 ) = 3 : 2 : 5 we have to find , percent of the mix is brand a i . e . a : ( a + b ) = 3 : 5 = ( 3 / 5 ) * 100 = 60 % here is a pictorial representation : brand a = 60 % - - - - - - - - - - - - - - - - - - - - - - - - 10 % or 0.10 above average , a times - - - - - - - - - - - - - - - - - total above = + 0.10 a - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - average = 50 % or 0.50 brand b = 65 % - - - - - - - - - - - - - - - - - - - - - - - - - - 15 % or 0.15 above average , b times - - - - - - - - - - - - - - - - - total above = + 0.15 b since the amount below the average has to equal the average above the average ; therefore , 0.10 a = 0.15 b a / b = 3 / 2 a : b : total = 3 : 2 : 5 therefore a / total = 3 : 5 = 60 % answer : b" - }, - { - "Answer": 25.44, - "Options": "a ) 6.64 % , b ) 16.64 % , c ) 15.64 % , d ) 25.44 % , e ) 10.64 %", - "Correct": "d", - "Explanation": "\"percentage error in calculated area = ( 12 + 12 + ( 12 \u00e3 \u2014 12 ) / 100 ) % = 25.44 % answer : d\"" - }, - { - "Answer": 1680, - "Options": "a ) 1200 , b ) 1210 , c ) 1180 , d ) 1190 , e ) 1680", - "Correct": "e", - "Explanation": "explanation final number = initial number + 110 % ( original number ) = 800 + 110 % ( 800 ) = 800 + 880 = 1680 . answer e" - }, - { - "Answer": 82.35294117647058, - "Options": "a ) 66 % , b ) 75 % , c ) 82 % , d ) 116 % , e ) 150 %", - "Correct": "c", - "Explanation": "\"let the price of company a ' s assets be 100 price of assets of kw is 40 % more than company a ' s assets which is 140 price of assets of kw is 100 % more than company b ' s assets which means price of company b ' s assets is half the price of kw = 70 a + b = 170 kw = 140 kw / ( a + b ) * 100 = 140 / 170 * 100 = 82.35 % or 82 % c\"" - }, - { - "Answer": 1102.5, - "Options": "a ) $ 1100.25 , b ) $ 1100.75 , c ) $ 1101.25 , d ) $ 1101.75 , e ) $ 1102.50", - "Correct": "e", - "Explanation": "\"1.05 * 1.05 * 1000 = $ 1102.50 the answer is e .\"" - }, - { - "Answer": 50, - "Options": "a ) 50 , b ) 100 , c ) 30 , d ) 75 , e ) 5", - "Correct": "a", - "Explanation": "explanation : 60 / 100 * x - 30 / 100 * 10 = 27 60 / 100 * x - 3 = 27 60 / 100 * x = 30 x = 30 * 100 / 60 x = 50 answer : option a" - }, - { - "Answer": 16, - "Options": "a ) 10 , b ) 20 , c ) 16 , d ) 30 , e ) 40", - "Correct": "c", - "Explanation": "\"man ' s speed with the current = 21 km / hr = > speed of the man + speed of the current = 21 km / hr speed of the current is 2.5 km / hr hence , speed of the man = 21 - 2.5 = 18.5 km / hr man ' s speed against the current = speed of the man - speed of the current = 18.5 - 2.5 = 16 km / hr answer is c .\"" - }, - { - "Answer": 0.40000000000000013, - "Options": "a ) $ 0.32 , b ) $ 0.40 , c ) $ 0.45 , d ) $ 0.48 , e ) $ 0.54", - "Correct": "b", - "Explanation": "\"if steve and danny submit separate orders , each would be smaller than 100 photocopies , so no discount . each would pay ( 80 ) * ( $ 0.02 ) = $ 1.60 , or together , a cost of $ 3.20 - - - that ' s the combined no discount cost . if they submit things together as one big order , they get a discount off of that $ 3.20 price - - - - 25 % or 1 / 4 of that is $ 0.80 , the discount on the combined sale . they each effective save half that amount , or $ 0.40 . answer = ( b ) .\"" - }, - { - "Answer": 70, - "Options": "a ) 25 , b ) 30 , c ) 50 , d ) 55 , e ) 70", - "Correct": "e", - "Explanation": "\"i came up with ( e ) 70 think of 100 people total : from the first fact , 28 of these are women with fair hair . from the second fact , these 20 women make up 40 % of the total fair haired population . we can then make a ratio of 60 : 40 fair haired men to fair haired women . this means that ( 60 / 40 ) * 28 equals the number of fair haired men , which is 42 men with fair hair . add this 42 to the 28 women and get 70 fair haired men and women out of 100 total men and women . 70 % e\"" - }, - { - "Answer": 39.130434782608695, - "Options": "a ) 38 , b ) 39 , c ) 40 , d ) 41 , e ) 42", - "Correct": "b", - "Explanation": "\"soln : - 15 x = 45 - - > 23 / 20 * x = 45 - - > x = 45 * 20 / 23 = 900 / 23 = ~ 39 . answer : b .\"" - }, - { - "Answer": 13.333333333333334, - "Options": "a ) 16.12 % , b ) 16.66 % , c ) 16.56 % , d ) 17.66 % , e ) 13.33 %", - "Correct": "e", - "Explanation": "\"increase = ( 8 / 60 ) * 100 = ( 2 / 15 ) * 100 = 13.33 % . e\"" - }, - { - "Answer": 18, - "Options": "a ) 14 kmph , b ) 12 kmph , c ) 18 kmph , d ) 1 kmph , e ) none of these", - "Correct": "c", - "Explanation": "explanation : let man ' s rate upsteam be x kmph then his rate of downstream = 3 x kmph rate still water = 1 / 2 ( 3 x + x ) = 2 x 2 x = 36 x = 18 rate of upstream = 18 rate of downstream = 54 rate of stream 1 / 2 ( 54 - 18 ) = 18 kmph answer : option c" - }, - { - "Answer": 90, - "Options": "a ) 90 , b ) 122.5 , c ) 132.5 , d ) 114.5 , e ) 212.5", - "Correct": "a", - "Explanation": "\"( 2000 * 1.5 * 3 ) / 100 = > 90 answer : a\"" - }, - { - "Answer": 32.24999999999998, - "Options": "a ) 31.25 , b ) 37.5 , c ) 30.0 , d ) 32.75 , e ) 32.25", - "Correct": "e", - "Explanation": "\"we ' re told that the original price of an item is increased by 15 % and then that price is increased by 15 % . . . . if . . . . starting value = $ 100 + 15 % = 100 + . 15 ( 100 ) = 115 + 15 % = 115 + . 15 ( 115 ) = 115 + 17.25 = 132.25 the question asks how the final price relates to the original price . this is essentially about percentage change , which means we should use the percentage change formula : percentage change = ( new - old ) / old = difference / original doing either calculation will yield the same result : 32.25 / 100 = 32.25 % final answer : e\"" - }, - { - "Answer": 10, - "Options": "a ) 10 % , b ) 10.5 % , c ) 11 % , d ) 12.5 % , e ) none", - "Correct": "a", - "Explanation": "\"sol . let c . p . = rs . 100 . then , marked price = rs . 110 , s . p . = rs . 99 . \u2234 discount % = [ 11 / 110 * 100 ] % = 10 % answer a\"" - }, - { - "Answer": 470, - "Options": "a ) 430 , b ) 438 , c ) 436 , d ) 470 , e ) 422", - "Correct": "d", - "Explanation": "\"let the total number of valid votes be x . 70 % of x = 70 / 100 * x = 7 x / 10 number of votes secured by the other candidate = x - 7 x / 100 = 3 x / 10 given , 7 x / 10 - 3 x / 10 = 188 = > 4 x / 10 = 188 = > 4 x = 1880 = > x = 470 . answer : d\"" - }, - { - "Answer": 12.24744871391589, - "Options": "a ) 12.25 , b ) 44 , c ) 18 , d ) 16 , e ) 14", - "Correct": "a", - "Explanation": "let the length and the breadth of the floor be l m and b m respectively . l = b + 200 % of b = l + 2 b = 3 b area of the floor = 100 / 2 = 50 sq m l b = 50 i . e . , l * l / 3 = 150 l 2 = 150 = > l = 12.25 answer : a" - }, - { - "Answer": 7.000000000000001, - "Options": "a ) 0.004 % , b ) 0.04 % , c ) 0.40 % , d ) 7 % , e ) 40 %", - "Correct": "d", - "Explanation": "\"total amount of water evaporated each day during a 50 - day period = . 014 * 50 = . 014 * 100 / 2 = 1.4 / 2 = . 7 percent of the original amount of water evaporated during this period = ( . 7 / 10 ) * 100 % = 7 % answer d\"" - }, - { - "Answer": 25, - "Options": "a ) 25 % , b ) 50 % , c ) 20 % , d ) 15 % , e ) 30 %", - "Correct": "a", - "Explanation": "\"c . p . = $ 20 s . p . = $ 25 gain = $ 5 gain % = 5 / 20 * 100 = 25 % answer is a\"" - }, - { - "Answer": 23, - "Options": "a ) 9.5 , b ) 23 , c ) 25 , d ) 22 , e ) 15", - "Correct": "b", - "Explanation": "\"20 % of 40 + 25 % of 60 40 * 20 / 100 + 60 * 25 / 100 8 + 15 = 23 answer b\"" - }, - { - "Answer": 25.603864734299517, - "Options": "a ) 25.6 % , b ) 21 % , c ) 20 % , d ) 19 % , e ) none of these", - "Correct": "a", - "Explanation": "\"cp = rs . 540 , mp = 540 + 15 % of 540 = rs . 621 sp = rs . 462 , discount = 621 - 462 = 159 discount % = 159 / 621 * 100 = 25.6 % answer : a\"" - }, - { - "Answer": 31.25, - "Options": "a ) 31.25 % , b ) 35.5 % , c ) 37.5 % , d ) 39.5 % , e ) 30.5 %", - "Correct": "a", - "Explanation": "\"let marked price = $ 100 . then , c . p . = $ 64 , s . p . = $ 84 gain % = 20 / 64 * 100 = 31.25 % . a\"" - }, - { - "Answer": 29, - "Options": "a ) 20 % , b ) 29 % , c ) 13 1 / 30 % , d ) 12 % , e ) 13 %", - "Correct": "b", - "Explanation": "\"sp 2 = 2 / 3 sp 1 cp = 100 sp 2 = 86 2 / 3 sp 1 = 86 sp 1 = 129 100 - - - 29 = > 29 % answer : b\"" - }, - { - "Answer": 200, - "Options": "a ) 100 % , b ) 150 % , c ) 200 % , d ) 250 % , e ) 300 %", - "Correct": "c", - "Explanation": "solution : this is a percent decrease problem . we will use the formula : percent change = ( new \u2013 old ) / old x 100 to calculate the final answer . we first set up the ratios of profits to sales . the first ratio will be for the first 1 million in sales , and the second ratio will be for the next 2 million in sales . because all of the sales are in millions , we do not have to express all the trailing zeros in our ratios . first 1 million profit / sales = 125 / 1000 = 1 / 8 next 2 million profit / sales = 8 / 200 = 2 / 50 we can simplify each ratio by multiplying each by the lcm of the two denominators , which is 400 . keep in mind that we are able to do this only because our answer choices are expressed in percents . first 1 million royalties / sales = ( 1 / 8 ) x 400 = 50 next 2 million royalties / sales = ( 2 / 50 ) x 400 = 16 we can plug 5 and 6 into our percent change formula : ( new \u2013 old ) / old x 100 [ ( 16 \u2013 50 ) / 16 ] x 100 = - 34 / 16 x 100 so approximately a 200 % decrease . answer c ." - }, - { - "Answer": 0.25000000000000006, - "Options": "a ) 0.05 , b ) 0.25 , c ) 0.5 , d ) 2.5 , e ) 25", - "Correct": "b", - "Explanation": "\"\u221a / 1005 / 100 * 55 \u221a 5 = ( 5 * 5 \u2217 5 \u2212 \u2212 \u221a 5 \u2217 5 ) / 100 = ( 5 * 5 ) / 100 = 25 / 100 = . 25 answer : b\"" - }, - { - "Answer": 250, - "Options": "a ) 333 , b ) 500 , c ) 887 , d ) 250 , e ) 132", - "Correct": "d", - "Explanation": "\"explanation : let the total sale be rs . x . then , 5 % . of x = 12.50 < = > ( 5 / 100 * x ) = 125 / 10 < = > x = 250 . answer : d\"" - }, - { - "Answer": 74, - "Options": "a ) 74 % , b ) 24 % , c ) 22 % , d ) 18 % , e ) 8.5 %", - "Correct": "a", - "Explanation": "\"say the second solution ( which was 1 / 4 th of total ) was x % sugar , then 3 / 4 * 0.22 + 1 / 4 * x = 1 * 0.35 - - > x = 0.74 . alternately you can consider total solution to be 100 liters and in this case you ' ll have : 75 * 0.22 + 25 * x = 100 * 0.35 - - > x = 0.74 . answer : a .\"" - }, - { - "Answer": 5460, - "Options": "a ) 3377 , b ) 2678 , c ) 5460 , d ) 1976 , e ) 1671", - "Correct": "c", - "Explanation": "\"5000 * 104 / 100 * 105 / 100 = > 5460 answer : c\"" - }, - { - "Answer": 120, - "Options": "a ) 2.5 % , b ) 15 % , c ) 120 % , d ) 35 % , e ) 250 %", - "Correct": "c", - "Explanation": "\"answer = c 30 a / 100 = 25 b / 100 b = 30 a / 25 = 120 a / 100 = 120 %\"" - }, - { - "Answer": 75, - "Options": "a ) 15 , b ) 35 , c ) 75 , d ) 25 , e ) 85", - "Correct": "c", - "Explanation": "56 / 32 = 1.75 the answer is c ." - }, - { - "Answer": 8, - "Options": "a ) $ 0 , b ) $ 8 , c ) $ 4 , d ) $ 12 , e ) $ 15", - "Correct": "b", - "Explanation": "\"actual cost = $ 56 sp = actual cost + mark up = actual cost + 30 % sp = 56 * 100 / 70 on sale sp = 80 / 100 ( 56 * 100 / 70 ) = 64 gross profit = $ 8 answer is b\"" - }, - { - "Answer": 104, - "Options": "a ) 80 , b ) 86 , c ) 92 , d ) 98 , e ) 104", - "Correct": "e", - "Explanation": "l + k = 180 and so k = 180 - l l + 10 = 1.5 k = 1.5 ( 180 - l ) 2.5 l = 260 l = 104 the answer is e ." - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 30 % , b ) 31 % , c ) 20 % , d ) 33.33 % , e ) 40 %", - "Correct": "d", - "Explanation": "\"here 15 articles selling price = 20 articles cost price so the difference = 20 - 15 = 5 % of profit = 5 * 100 / 15 = 33.33 % correct option is d\"" - }, - { - "Answer": 250, - "Options": "a ) a ) 215 , b ) b ) 250 , c ) c ) 230 , d ) d ) 235 , e ) e ) 240", - "Correct": "b", - "Explanation": "\"sp = 120 % of cp ; : . cp = 300 \u00d7 100 / 120 = 250 option ' b '\"" - }, - { - "Answer": 25, - "Options": "a ) 75 , b ) 65 , c ) 45 , d ) 25 , e ) 85", - "Correct": "d", - "Explanation": "explanation : let the origianl salary = rs . 100 it will be 150 % of ( 50 % of 100 ) = ( 150 / 100 ) * ( 50 / 100 ) * 100 = 75 so new salary is 75 , it means his loss is 25 % option d" - }, - { - "Answer": 17.272727272727273, - "Options": "a ) 22 , b ) 77 , c ) 17.3 , d ) 99 , e ) 88", - "Correct": "c", - "Explanation": "\"total cp = rs . 42000 + rs . 13000 = rs . 55000 and sp = rs . 64500 profit ( % ) = ( 64500 - 55000 ) / 55000 * 100 = 17.3 % answer : c\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 25 % loss , b ) 33.33 % profit , c ) 20 % loss , d ) 20 % profit , e ) 5 % profit", - "Correct": "b", - "Explanation": "\"let the cost price of 1 article be $ 1 . therefore , cost price of 20 articles = 20 * 1 = $ 20 the selling price of 15 articles = cost price of 20 articles = $ 15 . now , we know the selling price of 15 articles . let us find the cost price of 15 articles . cost price of 15 articles = 15 * 1 = $ 15 . therefore , profit made on sale of 15 articles = selling price of 15 articles - cost price of 15 articles = 20 - 15 = $ 5 . as the profit is in the positive , the merchant has made a profit of $ 5 . therefore , % loss = loss / cp * 100 % loss = 5 / 15 * 100 = 33.33 % profit . b\"" - }, - { - "Answer": 50, - "Options": "a ) 50 % , b ) 57 % , c ) 52 % , d ) 22 % , e ) 42 %", - "Correct": "a", - "Explanation": "\"total = 100 t = 50 nt = 50 50 * ( 50 / 100 ) = 25 50 * ( 50 / 100 ) = 25 25 + 25 = 50 = > 100 - 50 = 50 % answer : a\"" - }, - { - "Answer": 20.000000000000007, - "Options": "a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 30 %", - "Correct": "c", - "Explanation": "\"let x be the cost price of one article . let y be the selling price of one article . 50 y = 60 x y = 1.2 x the answer is c .\"" - }, - { - "Answer": 1005, - "Options": "a ) 960 , b ) 1005 , c ) 1,200 , d ) 920 , e ) none of these", - "Correct": "b", - "Explanation": "let the profit or loss be x and 892 \u2013 x = 448 + x or , x = 444 \u2044 2 = 222 \\ cost price of the article = 892 \u2013 x = 448 + x = 670 \\ sp of the article = 670 \u00d7 150 \u2044 100 = 1005 answer b" - }, - { - "Answer": 12000, - "Options": "a ) s . 7000 , b ) s . 9000 , c ) s . 14000 , d ) s . 12000 , e ) s . 27000", - "Correct": "d", - "Explanation": "\"let the sum be rs . x . ( x * 15 * 2 ) / 100 - ( x * 12 * 2 ) / 100 = 720 = > 30 x / 100 - 24 x / 100 = 720 = > 6 x / 100 = 720 = > x = 12000 . answer : d\"" - }, - { - "Answer": 1125, - "Options": "a ) a ) 1120 , b ) b ) 1065 , c ) c ) 1070 , d ) d ) 1075 , e ) e ) 1080", - "Correct": "a", - "Explanation": "\"cost of 9 kg grapes = 70 \u00d7 9 = 630 . cost of 9 kg of mangoes = 55 \u00d7 9 = 490 . total cost he has to pay = 630 + 490 = 1120 a\"" - }, - { - "Answer": 1672, - "Options": "a ) 1672 , b ) 1640 , c ) 1677 , d ) 1698 , e ) 1679", - "Correct": "a", - "Explanation": "\"( x * 8 * 3 ) / 100 = ( ( 2717 - x ) * 3 * 5 ) / 100 24 x / 100 = 40755 / 100 - 15 x / 100 39 x = 40755 = > x = 1045 second sum = 2717 \u00e2 \u20ac \u201c 1045 = 1672 answer : a\"" - }, - { - "Answer": 16, - "Options": "a ) 16 , b ) 24 , c ) 32 , d ) 40 , e ) 48", - "Correct": "a", - "Explanation": "\"200 are sophomores . the number of freshmen is 600 - 160 - 0.28 ( 800 ) = 216 the answer is a .\"" - }, - { - "Answer": 180, - "Options": "a ) 100 rs , b ) 150 rs , c ) 160 rs , d ) 180 rs , e ) 200 rs", - "Correct": "d", - "Explanation": "\"gain in 2 years = [ ( 9000 * 6 * 2 ) / 100 ] - [ ( 9000 * 4 * 2 ) / 100 ] 1080 - 720 = 360 gain in 1 year = ( 360 / 2 ) = 180 rs answer : d\"" - }, - { - "Answer": 70, - "Options": "a ) 140 , b ) 94 , c ) 104 , d ) 70 , e ) 80", - "Correct": "d", - "Explanation": "\"50 % of 140 = x 0.50 * 140 = x 70 = x answer : d\"" - }, - { - "Answer": 23.500000000000114, - "Options": "a ) $ 5.5 , b ) $ 15.5 , c ) $ 23.5 , d ) $ 100 , e ) $ 105", - "Correct": "c", - "Explanation": "\"compounded annually means that the interest is applied once per year . one can have 10 % annual interest compounded monthly - in this case 10 % / 12 would be applied each month , or 10 % annual interest compounded daily etc . with respect to the problem at hand , at the end of two years , tim would have 600 ( 1.10 ) ^ 2 = 600 ( 1.21 ) = 726 and lana would have 1,000 ( 1.05 ) ^ 2 = 1,000 ( 1.1025 ) = 1102.5 thus , tim earned 126 dollars , while lana earned 102.5 dollars the difference is $ 23.5 and the answer is c .\"" - }, - { - "Answer": 9, - "Options": "a ) 9 % , b ) 10 % , c ) 105 / 8 % , d ) 11 % , e ) 12 %", - "Correct": "a", - "Explanation": "\"the equation we can form the question : return on total investment = sum of individual investments ( 500 + 1500 ) ( 8.5 ) = ( 500 \u2217 7 ) + ( 1500 x ) , where x is the return on investment of 1500 . solving the equation , we get x = 9 % ( option a ) answer : a\"" - }, - { - "Answer": 18.999999999999993, - "Options": "a ) 18 % , b ) 13 % , c ) 12 % , d ) 32 % , e ) 19 %", - "Correct": "e", - "Explanation": "\"original price = 100 cp = 70 s = 70 * ( 170 / 100 ) = 119 100 - 119 = 19 % answer : e\"" - }, - { - "Answer": 720, - "Options": "a ) rs . 500 , b ) rs . 600 , c ) rs . 650 , d ) rs . 720 , e ) none", - "Correct": "d", - "Explanation": "\"solution number of shares = ( 14400 / 120 ) = 120 . face value = rs . ( 100 x 120 ) = rs . 12000 . annual income = rs . ( 6 / 100 x 12000 ) = rs . 720 . answer d\"" - }, - { - "Answer": 23, - "Options": "a ) 21 , b ) 21.5 , c ) 22 , d ) 22.5 , e ) 23", - "Correct": "e", - "Explanation": "\"if q complete x kilometers , then p completes 1.15 x kilometers . x + 1.15 x = 43 2.15 x = 43 x = 43 / 2.15 = 20 then p will have have walked 1.15 * 20 = 23 km . the answer is e .\"" - }, - { - "Answer": 450.00000000000006, - "Options": "a ) 70 , b ) 450 , c ) 150 , d ) 35 , e ) 350", - "Correct": "b", - "Explanation": "since 30 % of the boys from school a study science , then 70 % of the boys from school a do not study science and since 20 % of the total number of boys are from school a , then 0.2 * 0.7 = 0.14 , or 14 % of the boys in the camp are from school a and do not study science . we are told that this number equals to 63 , so 0.14 * { total } = 63 - - > { total } = 450 . answer : b ." - }, - { - "Answer": 31500, - "Options": "a ) $ 3,750 , b ) $ 5,600 , c ) $ 8,100 , d ) $ 15,000 , e ) $ 31,500", - "Correct": "e", - "Explanation": "\"x = 8 % 112 / x years = 112 / 8 = 14 years now , money triples every 14 years therefore , in 14 yrs , if $ 3500 triples to $ 10500 , in 28 years , it will again triple to $ 10500 * 3 = $ 31,500 answer e\"" - }, - { - "Answer": 63.2, - "Options": "a ) 84 , b ) 63.2 , c ) 104 , d ) 50.8 , e ) 15.8", - "Correct": "b", - "Explanation": "40 % of 158 = x 0.40 * 158 = x 63.2 = x answer : b" - }, - { - "Answer": 16.666666666666664, - "Options": "a ) 16.67 % , b ) 23 % , c ) 18.3 % , d ) 19.75 % , e ) 21.23 %", - "Correct": "a", - "Explanation": "\"alcohol in the 15 litres of mix . = 20 % of 15 litres = ( 20 * 15 / 100 ) = 3 litres water in it = 15 - 3 = 12 litres new quantity of mix . = 15 + 3 = 18 litres quantity of alcohol in it = 3 litres percentage of alcohol in new mix . = 3 * 100 / 18 = 50 / 3 = 16.67 % answer is a\"" - }, - { - "Answer": 72, - "Options": "a ) 168 , b ) 72 , c ) 56 , d ) 170 , e ) 60", - "Correct": "b", - "Explanation": "number of woman in the party = 0.60 * 600 = 360 number of men in the party = 600 - 360 = 240 % of men wearing red shirts = 100 - 70 = 30 % number of men wearing red shirt = 0.30 * 240 = 72 . b is the correct answer" - }, - { - "Answer": 6, - "Options": "a ) 2 % , b ) 1 % , c ) 6 % , d ) 5 % , e ) 8 %", - "Correct": "c", - "Explanation": "c 6 % s . i . = ( 15500 - 12500 ) = 3000 . rate = ( 100 x 3000 ) / ( 12500 x 4 ) % = 6 %" - }, - { - "Answer": 892.3076923076923, - "Options": "a ) 191 , b ) 355 , c ) 737 , d ) 892 , e ) 1,560", - "Correct": "d", - "Explanation": "\"let weight of side of beef before processing = x ( 65 / 100 ) * x = 580 = > x = ( 580 * 100 ) / 65 = 892 answer d\"" - }, - { - "Answer": 9941.520467836257, - "Options": "a ) s . 6000 , b ) s . 9000 , c ) s . 10800 , d ) s . 9942 , e ) s . 9980", - "Correct": "d", - "Explanation": "\"let actual price was 100 . after three successive discount this will become , 100 = = 20 % discount = > 80 = = 10 % discount = > 72 = = 5 % discount = 68.4 now compare , 68.4 = 6800 1 = 6800 / 68.4 100 = ( 6800 * 100 ) / 68.4 = rs . 9942 . answer : option d\"" - }, - { - "Answer": 80, - "Options": "a ) 75 % , b ) 80 % , c ) 45 % , d ) 55 % , e ) 65 %", - "Correct": "b", - "Explanation": "\"let the 3 rd subject % = x 60 + 70 + x = 3 * 70 130 + x = 210 x = 210 - 130 = 80 answer : b\"" - }, - { - "Answer": 600, - "Options": "a ) 500 , b ) 600 , c ) 700 , d ) 800 , e ) 900", - "Correct": "b", - "Explanation": "\"difference in s . i . = p \u00d7 t / 100 ( r 1 \u2212 r 2 ) \u21d2 144 = p \u00d7 6 x 4 / 100 ( \u2235 r 1 - r 2 = 2 ) \u21d2 p = 144 \u00d7 100 / 6 \u00d7 4 = 600 answer b\"" - }, - { - "Answer": 9, - "Options": "a ) 8 , b ) 9 , c ) 7 , d ) 6 , e ) 4", - "Correct": "b", - "Explanation": "\"72 % - - - 16 128 % - - - ? 72 / 128 * 16 = 9 answer : b\"" - }, - { - "Answer": 6, - "Options": "a ) 3 % , b ) 4 % , c ) 5 % , d ) 6 % , e ) 7 %", - "Correct": "d", - "Explanation": "s . i . = rs . ( 15500 - 12500 ) = rs . 3000 . rate = ( 100 x 3000 ) / ( 12500 x 4 ) % = 6 % answer : d" - }, - { - "Answer": 200, - "Options": "a ) loss of rs . 200 , b ) loss of rs . 100 , c ) profit of rs . 100 , d ) profit of rs . 200 , e ) none of these", - "Correct": "d", - "Explanation": "\"let the sp of the refrigerator and the mobile phone be rs . r and rs . m respectively . r = 15000 ( 1 - 4 / 100 ) = 15000 - 600 m = 8000 ( 1 + 10 / 100 ) = 8000 + 800 total sp - total cp = r + m - ( 15000 + 8000 ) = - 600 + 800 = rs . 200 as this is positive , an overall profit of rs . 200 was made . answer : d\"" - }, - { - "Answer": 66, - "Options": "a ) 50 , b ) 55 , c ) 62 , d ) 77 , e ) 66", - "Correct": "e", - "Explanation": "1 % of 300 = 3 22 % of 300 = 22 * 3 = 66 answer : e" - }, - { - "Answer": 108, - "Options": "a ) rs . 60 , b ) rs . 108 , c ) rs . 110 , d ) rs . 112 , e ) rs . 122", - "Correct": "b", - "Explanation": "\"p . w . = rs . ( 540 - 90 ) = rs . 450 . s . i . on rs . 450 = rs . 90 . s . i . on rs . 540 = rs . ( 90 / 450 ) x 540 = rs . 108 . b . d . = rs . 108 . answer : b\"" - }, - { - "Answer": 6, - "Options": "a ) 8.5 , b ) 6.0 , c ) 9.5 , d ) 9.0 , e ) 8.25", - "Correct": "b", - "Explanation": "\"rate of still water = 1 / 2 ( down stream + upstream ) = 1 / 2 ( 18 + 6 ) = 12 kmph rate of current = 1 / 2 ( down stream - upstream ) = 1 / 2 ( 18 - 6 ) = 1 / 2 ( 12 ) = 6 kmph answer is b .\"" - }, - { - "Answer": 14.000000000000002, - "Options": "a ) 14 % , b ) 16 % , c ) 17 % , d ) 78 % , e ) 28 %", - "Correct": "a", - "Explanation": "\"1500 - - - - 210 100 - - - - ? = > 14 % answer : a\"" - }, - { - "Answer": 4500, - "Options": "a ) a ) 4500 , b ) b ) 5200 , c ) c ) 6900 , d ) d ) 7520 , e ) e ) 6000", - "Correct": "a", - "Explanation": "\"let the total number of votes polled be x then , votes polled by other candidate = ( 100 - 60 ) % of x = 40 % of x 60 % of x - 40 % of x = 900 20 x / 100 = 900 x = 900 * 100 / 20 = 4500 answer is a\"" - }, - { - "Answer": 6.865671641791046, - "Options": "a ) 3.86 % , b ) 4.86 % , c ) 5.86 % , d ) 6.86 % , e ) 7.86 %", - "Correct": "d", - "Explanation": "67 * ( 90 / 100 ) * ( ( 100 - x ) / 100 ) = 56.16 x = 6.86 % answer : d" - }, - { - "Answer": 241.66666666666666, - "Options": "a ) a ) 215 , b ) b ) 241 , c ) c ) 230 , d ) d ) 235 , e ) e ) 240", - "Correct": "b", - "Explanation": "\"sp = 120 % of cp ; : . cp = 290 \u00d7 100 / 120 = 241 option ' b '\"" - }, - { - "Answer": 800, - "Options": "a ) 400 , b ) 800 , c ) 1250 , d ) 2500 , e ) 10 000", - "Correct": "b", - "Explanation": "\"the percent of tagged fish in the second catch is 2 / 40 * 100 = 5 % . we are told that 5 % approximates the percent of tagged fish in the pond . since there are 40 tagged fish , then we have 0.05 x = 40 - - > x = 800 . answer : b .\"" - }, - { - "Answer": 20, - "Options": "a ) 20 , b ) 5 , c ) 30 , d ) 35 , e ) 67", - "Correct": "a", - "Explanation": "explanation : total no of characters = 20 * 55 * 65 . from the problem it is clear that 20 * 55 * 65 = x * 65 * 70 . we get x = 15.6 \u223c 16 because these are sheets . therefore 4 less sheets . hencde , there is 20 % decrease in number of sheets . answer : a" - }, - { - "Answer": 680, - "Options": "a ) 680 , b ) 620 , c ) 652 , d ) 520 , e ) 458", - "Correct": "a", - "Explanation": "\"( 20 / 100 ) * x \u2013 ( 40 / 100 ) * 140 = 80 1 / 5 x = 136 x = 680 answer : a\"" - }, - { - "Answer": 806, - "Options": "a ) 806 , b ) 744 , c ) 912 , d ) 1200 , e ) 1400", - "Correct": "a", - "Explanation": "\"w = 62 % l = 38 % 62 % - 38 % = 24 % 24 % - - - - - - - - 312 62 % - - - - - - - - ? = > 806 answer : a\"" - }, - { - "Answer": 15000, - "Options": "a ) rs . 45,000 , b ) rs . 50,000 , c ) rs . 60,000 , d ) rs . 15,000 , e ) none", - "Correct": "d", - "Explanation": "solution suppose y invested rs . y then , 5000 / y = 2 / 6 \u00e2 \u20ac \u00b9 = \u00e2 \u20ac \u00ba y = ( 5000 \u00e3 \u2014 6 / 2 ) . \u00e2 \u20ac \u00b9 = \u00e2 \u20ac \u00ba y = 15000 . answer d" - }, - { - "Answer": 1680, - "Options": "a ) 1670 , b ) 1600 , c ) 1680 , d ) 1900 , e ) 1230", - "Correct": "c", - "Explanation": "c 1680 cost price = $ 1200 profit = 40 % of 1200 = $ 480 selling price = cost price + profit = 1200 + 480 = 1680" - }, - { - "Answer": 113.38934190276818, - "Options": "a ) 113 , b ) 150 , c ) 225 , d ) 250 , e ) 500", - "Correct": "a", - "Explanation": "\"90 = x / 100 * 70 / 100 * x = > x ^ 2 = 9 * 10000 / 7 = > x = 113 a\"" - }, - { - "Answer": 9828, - "Options": "a ) 5568 , b ) 9828 , c ) 5460 , d ) 5635 , e ) 6734", - "Correct": "b", - "Explanation": "\"9000 * 104 / 100 * 105 / 100 = > 9828 answer : b\"" - }, - { - "Answer": 10000, - "Options": "a ) rs 10000 , b ) rs 15000 , c ) rs 16000 , d ) rs 17000 , e ) none of these", - "Correct": "a", - "Explanation": "\"explanation : s . i . = p \u00e2 \u02c6 \u2014 r \u00e2 \u02c6 \u2014 t / 100 = > p = s . i . \u00e2 \u02c6 \u2014 100 / r \u00e2 \u02c6 \u2014 t = > p = 3600 \u00e2 \u02c6 \u2014 100 / 12 \u00e2 \u02c6 \u2014 3 = rs 10000 option a\"" - }, - { - "Answer": 0.6666666666666666, - "Options": "a ) 1 / 3 , b ) 2 / 3 , c ) 2 / 5 , d ) 3 / 5 , e ) 4 / 5", - "Correct": "b", - "Explanation": "let us assume the total original amount of whiskey = 10 ml - - - > 4 ml alcohol and 6 ml non - alcohol . let x ml be the amount removed - - - > total alcohol left = 4 - 0.4 x new quantity of whiskey added = x ml out of which 0.19 is the alcohol . thus , the final quantity of alcohol = 4 - 0.4 x + 0.19 x - - - - > ( 4 - 0.21 x ) / 10 = 0.26 - - - > x = 20 / 3 ml . per the question , you need to find the x ml removed as a ratio of the initial volume - - - > ( 20 / 3 ) / 10 = 2 / 3 . hence , b is the correct answer ." - }, - { - "Answer": 15, - "Options": "a ) 16.67 % , b ) 23 % , c ) 15 % , d ) 19.75 % , e ) 21.23 %", - "Correct": "c", - "Explanation": "\"alcohol in the 15 litres of mix . = 20 % of 15 litres = ( 20 * 15 / 100 ) = 3 litres water in it = 15 - 3 = 12 litres new quantity of mix . = 15 + 5 = 20 litres quantity of alcohol in it = 3 litres percentage of alcohol in new mix . = 3 * 100 / 20 = 15 % answer is c\"" - }, - { - "Answer": 20, - "Options": "a ) 25 % , b ) 30 % , c ) 50 % , d ) 20 % , e ) 10 %", - "Correct": "d", - "Explanation": "\"s . p . = $ 180 gain = $ 30 c . p . = 180 - 30 = 150 gain % = 30 / 150 * 100 = 20 % answer is d\"" - }, - { - "Answer": 1, - "Options": "a ) 1 % increase , b ) 1 % decrease , c ) 2 % increase , d ) 2 % decrease , e ) no change", - "Correct": "b", - "Explanation": "\"let x be the original salary . the final salary is 0.9 ( 1.1 x ) = 0.99 x the answer is b .\"" - }, - { - "Answer": 29.99999999999999, - "Options": "a ) 20 , b ) 25 , c ) 30 , d ) 35 , e ) 40", - "Correct": "c", - "Explanation": "\"let x be the number of additional games the gambler needs to play . 0.4 ( 30 ) + 0.8 x = 0.6 ( x + 30 ) 0.2 x = 6 x = 30 the answer is c .\"" - }, - { - "Answer": 6925, - "Options": "a ) 6925 , b ) 6887 , c ) 6728 , d ) 6725 , e ) 2871", - "Correct": "a", - "Explanation": "\": cp = sp * ( 100 / ( 100 + profit % ) ) = 8587 ( 100 / 124 ) = rs . 6925 . answer : a\"" - }, - { - "Answer": 7, - "Options": "a ) 8 , b ) 9 , c ) 7 , d ) 6 , e ) 5", - "Correct": "c", - "Explanation": "you should consider the worst case scenario : if you pick numbers 0 , 1 , 2 , 3 , 4 and 5 then no two numbers out of these 6 add up to 10 . now , the next , 7 th number whatever it ' ll be ( 6,7 , or 8 ) will guarantee that two number will add up to 10 . so , 7 slips must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10 answer : c" - }, - { - "Answer": 82, - "Options": "a ) 65 % , b ) 70 % , c ) 75 % , d ) 82 % , e ) 95 %", - "Correct": "d", - "Explanation": "find the product of the two increases : ( 14 / 10 ) * ( 13 / 10 ) which is 1.82 and a 82 % increase . d" - }, - { - "Answer": 250, - "Options": "a ) 250 , b ) 231 , c ) 200 , d ) 288 , e ) 111", - "Correct": "a", - "Explanation": "\"explanation : let c . p . be rs . x . then , 4 % of x = 350 - 340 = 10 x / 25 = 10 = > x = 250 answer : a\"" - }, - { - "Answer": 20, - "Options": "a ) 4 , b ) 5 , c ) 56 , d ) 20 , e ) 7", - "Correct": "d", - "Explanation": "\"explanation : let the price be = rs . 100 , and number of units sold = 100 then , sale value = rs . ( 100 \u00d7 100 ) = rs . 10000 new sale value = rs . ( 150 \u00d7 80 ) = rs . 12000 increase % = 2000 / 10000 \u00d7 100 = 20 % answer : d\"" - }, - { - "Answer": 639.9999999999999, - "Options": "a ) 288 , b ) 266 , c ) 155 , d ) 600 , e ) 640", - "Correct": "e", - "Explanation": "ratio of investments of a , b and c is 8000 : 10000 : 12000 = 4 : 5 : 6 and also given that , profit share of b is rs . 1600 = > 5 parts out of 15 parts is rs . 1600 now , required difference is 6 - 4 = 2 parts required difference = 2 / 5 ( 1600 ) = rs . 640 answer : e" - }, - { - "Answer": 80, - "Options": "a ) 100 rs , b ) 80 rs , c ) 160 rs , d ) 180 rs , e ) 200 rs", - "Correct": "b", - "Explanation": "\"gain in 2 years = [ ( 4000 * 6 * 2 ) / 100 ] - [ ( 4000 * 4 * 2 ) / 100 ] 480 - 320 = 160 gain in 1 year = ( 160 / 2 ) = 80 rs answer : b\"" - }, - { - "Answer": 3.5999999999999996, - "Options": "a ) 3 % , b ) 5 % , c ) 2.5 % , d ) 4 % , e ) 3.6 %", - "Correct": "e", - "Explanation": "explanation : let there be 100 products in the stockpile . 40 % and 30 % were manufactured by m 1 and m 2 respectively . so , 30 % are manufactured by m 3 . products from m 1 = 40 , from m 2 = 30 and from m 3 = 30 . number of defective products from m 1 = 0.03 x 40 = 1.2 , from m 2 = 0.01 x 30 = 0.3 and from m 3 = 0.07 x 30 = 2.1 therefore , total number of defective products = 3.6 answer : e" - }, - { - "Answer": 20.000000000000004, - "Options": "a ) 20 % , b ) 40 % , c ) 35 % , d ) 32 % , e ) 29 %", - "Correct": "a", - "Explanation": "\"assume the revenue in 2000 to be 100 . then in 2003 it would be 150 and and in 2005 180 , so from 2003 to 2005 it increased by ( 180 - 150 ) / 150 = 30 / 150 = ~ 20 % . answer : a\"" - }, - { - "Answer": 4, - "Options": "a ) $ 0 , b ) $ 3 , c ) $ 4 , d ) $ 12 , e ) $ 15", - "Correct": "c", - "Explanation": "\"markup = x x = 0.25 ( 60 + x ) = > 3 x / 4 = 15 = > x = 20 so sp = 80 but actual sp = 0.8 * 80 = 64 so profit = $ 4 answer - c\"" - }, - { - "Answer": 1875, - "Options": "a ) 3000 , b ) 1230 , c ) 1875 , d ) 5600 , e ) 3400", - "Correct": "c", - "Explanation": "\"then , ( 1720 - x ) / x * 100 = ( x - 1280 ) / x * 100 1720 - x = x - 1280 2 x = 3000 = > x = 1500 required s . p . = 125 % of rs . 1500 = 125 / 100 * 1500 = rs . 1875 . answer c\"" - }, - { - "Answer": 20, - "Options": "a ) 10 % , b ) 20 % , c ) 30 % , d ) 40 % , e ) 50 %", - "Correct": "b", - "Explanation": "last month rate = 16 per kg this month rate = 20 per kg if 20 = 100 % then 16 = ? therefore % = ( 16 * 100 ) / 20 = 80 % to reduce consumption 100 - 80 = 20 % answer : b" - }, - { - "Answer": 36, - "Options": "a ) 24 % , b ) 25 % , c ) 30 % , d ) 36 % , e ) 40 %", - "Correct": "d", - "Explanation": "\"225 / ( 850 - 225 ) = 225 / 625 = 9 / 25 bit more than 33 % . answer : d\"" - }, - { - "Answer": 5.5, - "Options": "a ) 6 , b ) 6.25 , c ) 7.25 , d ) 5.5 , e ) 8", - "Correct": "d", - "Explanation": "\"required run rate = 252 - ( 3.2 x 10 ) = 220 = 5.5 40 40 d\"" - }, - { - "Answer": 30.434782608695656, - "Options": "a ) 20.8 , b ) 30.4 , c ) 31.8 , d ) 32.5 , e ) 33.8", - "Correct": "b", - "Explanation": "\"$ 69 - $ 48 = 21 $ ( 21 / 69 ) * 100 = 30.434 % answer : b\"" - }, - { - "Answer": 770, - "Options": "a ) 543 , b ) 677 , c ) 770 , d ) 867 , e ) 832", - "Correct": "c", - "Explanation": "\"if mike had scored 19 marks more , he could have scored 30 % therefore , mike required 212 + 19 = 231 marks let the maximum marks be m . then 30 % of m = 231 ( 30 / 100 ) \u00d7 m = 231 m = ( 231 \u00d7 100 ) / 30 m = 23100 / 30 m = 770 answer : c\"" - }, - { - "Answer": 360, - "Options": "a ) 300 , b ) 420 , c ) 360 , d ) 320 , e ) 400", - "Correct": "c", - "Explanation": "\"mary receives $ 8 ( 20 ) = $ 160 for the first 20 hours . for the 20 overtime hours , she receives $ 8 ( 0.25 ) + $ 8 = $ 10 per hour , that is $ 10 ( 20 ) = $ 200 . the total amount is $ 160 + $ 200 = $ 360 answer c 360 .\"" - }, - { - "Answer": 12800, - "Options": "a ) 18990 , b ) 13002 , c ) 12800 , d ) 12300 , e ) 14500", - "Correct": "c", - "Explanation": "\"( 13000 * 4 * 5 ) / 100 = 2600 10200 - - - - - - - - 12800 answer : c\"" - }, - { - "Answer": 50, - "Options": "a ) rs . 59 , b ) rs . 58 , c ) rs . 09 , d ) rs . 50 , e ) rs . 13", - "Correct": "d", - "Explanation": "\"sp per metre = 18000 / 400 = rs . 45 loss per metre = rs . 5 cp per metre = 45 + 5 = rs . 50 answer : d\"" - }, - { - "Answer": 32.00000000000003, - "Options": "a ) 15 % , b ) 32 % , c ) 40 % , d ) 62 % , e ) 80 %", - "Correct": "b", - "Explanation": "\"we need multipliers . multiplier for a 10 % increases = 1 + 0.10 = 1.1 multiplier for a 20 % decreases = 1 \u2013 0.20 = 0.8 multiplier for a 50 % increases = 1 + 0.50 = 1.5 now , multiply these . first , multiply ( 0.8 ) and ( 1.5 ) , using the doubling & halving trick . half of 0.80 is 0.40 , and twice 1.5 is 3 ( 0.8 ) * ( 1.5 ) = ( 0.4 ) * ( 3 ) = 1.2 now , multiply this by 1.1 1.2 * 1.1 = 1.32 thus , the three percent changes combined produce a 32 % increase . answer = ( b ) .\"" - }, - { - "Answer": 5324.000000000002, - "Options": "a ) rs . 5342 , b ) rs . 4325 , c ) rs . 5324 , d ) rs . 3425 , e ) rs . 3525", - "Correct": "c", - "Explanation": "5324 answer : c" - }, - { - "Answer": 96, - "Options": "a ) 96 sec , b ) 45 sec , c ) 1 min , d ) 32 sec , e ) 25 sec", - "Correct": "a", - "Explanation": "\"speed = 9 km / hr = 9 * 5 / 18 = 5 / 2 m / sec distance = 60 * 4 = 240 m time taken = 240 * 2 / 5 = 96 sec answer is a\"" - }, - { - "Answer": 50, - "Options": "a ) 75 , b ) 72 , c ) 50 , d ) 70 , e ) 80", - "Correct": "c", - "Explanation": "let c . p . of the book be rs . \u2019 x \u2019 given , 1.09 x - 0.91 x = 9 = > 0.18 x = 9 = 9 / 0.18 = rs 50 answer : c" - }, - { - "Answer": 600, - "Options": "a ) 344 , b ) 218 , c ) 200 , d ) 600 , e ) 211", - "Correct": "d", - "Explanation": "\"explanation : let original cost price is x its selling price = ( 105 / 100 ) * x = 21 x / 20 new cost price = ( 95 / 100 ) * x = 19 x / 20 new selling price = ( 110 / 100 ) * ( 19 x / 20 ) = 209 x / 200 [ ( 21 x / 20 ) - ( 209 x / 200 ) ] = 3 = > x = 600 answer : d ) rs 600\"" - }, - { - "Answer": 104, - "Options": "a ) 80 cm , b ) 90 cm , c ) 104 cm , d ) 120 cm , e ) 130 cm", - "Correct": "c", - "Explanation": "when ball comes down , then i have indicated the distance covered in green when ball goes up , then i have indicated the distance covered in red distance travelled uptil the ball touches the floor 3 rd time : h + 0.5 h + 0.5 h + 0.5 * 0.5 h + 0.5 * 0.5 h h + 2 * 0.5 * h + 2 * 0.25 * h = h ( 1 + 2 * 0.5 + 2 * 0.25 ) = h ( 1 + 1 + 0.5 ) = 260 2.5 h = 260 h = 104 . c is the answer ." - }, - { - "Answer": 25.499999999999996, - "Options": "a ) $ 22.50 , b ) $ 23.50 , c ) $ 24.50 , d ) $ 25.50 , e ) $ 26.50", - "Correct": "d", - "Explanation": "\"let x be the price that buyers see online . the distributor wants to receive 1.2 ( original price ) which should be 80 % of x . 1.2 ( 17 ) = 0.8 x x = 1.2 ( 17 ) / 0.8 = 1.5 ( 17 ) = $ 25.50 the answer is d .\"" - }, - { - "Answer": 146.66666666666669, - "Options": "a ) 132 % , b ) 147 % , c ) 158 % , d ) 176 % , e ) 188 %", - "Correct": "b", - "Explanation": "\"let last year ' s salary be x . last year , sandy save 0.06 x this year , sandy saved 0.08 * 1.1 x = 0.088 x 0.088 x / 0.06 x = 88 / 60 = 1.47 = 147 % the answer is b .\"" - }, - { - "Answer": 0.13999999999999999, - "Options": "a ) 0.15 d , b ) 0.16 d , c ) 0.65 d , d ) 0.14 d , e ) 0.05 d", - "Correct": "d", - "Explanation": "\"effective discount = a + b + ab / 100 = - 65 - 60 + ( - 65 ) ( - 60 ) / 100 = - 86 sale price = d * ( 1 - 86 / 100 ) sale price = . 14 * d answer ( d )\"" - }, - { - "Answer": 560, - "Options": "a ) 560 , b ) 882 , c ) 799 , d ) 778 , e ) 901", - "Correct": "a", - "Explanation": "\"79 % 104 % - - - - - - - - 25 % - - - - 140 100 % - - - - ? = > rs . 560 answer : a\"" - }, - { - "Answer": 100, - "Options": "a ) 80 , b ) 100 , c ) 75 , d ) 90 , e ) none of these", - "Correct": "b", - "Explanation": "\"let the number be x . then 60 % of 3 / 5 of x = 36 60 / 100 * 3 / 5 * x = 36 x = ( 36 * 25 / 9 ) = 100 required number = 100 . correct option : b\"" - }, - { - "Answer": 12, - "Options": "a ) 16 % , b ) 15 % , c ) 12 % , d ) 22 % , e ) 19 %", - "Correct": "c", - "Explanation": "\"s . i . for 3 years = ( 12005 - 9800 ) = rs . 2205 s . i . for 5 years = rs . 2205 / 3 * 5 = rs . 3675 . principal = ( 9800 - 3675 ) = rs . 6125 hence , rate = ( 100 * 3675 ) / ( 6125 * 5 ) = 12 % answer : c\"" - }, - { - "Answer": 8, - "Options": "a ) 8 % , b ) 5 % , c ) 7 % , d ) 12 % , e ) 19 %", - "Correct": "a", - "Explanation": "a 8 % of student hate all four subjects ." - }, - { - "Answer": 90, - "Options": "a ) 25 % , b ) 50 % , c ) 60 % , d ) 80 % , e ) 90 %", - "Correct": "e", - "Explanation": "\"basically we can disregard the radius is 25 % information , as we are only asked about the height of the original and the new cylinder . this is becausethe new cylinder is 3 / 5 fullmeans the same as that it ' s height is 3 / 5 . original cylinder 2 / 3 new cylinder 3 / 5 so 3 / 5 / 2 / 3 = 3 / 5 * 3 / 2 = 0.90 or 90 % . answer e\"" - }, - { - "Answer": 400, - "Options": "a ) 0.2 % , b ) 2 % , c ) 5 % , d ) 20 % , e ) 400 %", - "Correct": "e", - "Explanation": "\"200 = x * 50 / 100 x = 400 % ans ; e\"" - }, - { - "Answer": 12, - "Options": "a ) 4 % , b ) 7 % , c ) 9 % , d ) 3 % , e ) 12 %", - "Correct": "e", - "Explanation": "\"let sum = x . then , s . i . = 6 x / 5 , time = 10 years . rate = ( 100 * 6 x ) / ( x * 5 * 10 ) = 12 % answer : e\"" - }, - { - "Answer": 7200, - "Options": "a ) $ 3500 , b ) $ 5000 , c ) $ 3150 , d ) $ 7200 , e ) $ 10000", - "Correct": "d", - "Explanation": "saving = ( 45 - 30 ) % of 48000 = 7200 . answer : d" - }, - { - "Answer": 2.4000000000000004, - "Options": "a ) a . 0.6 , b ) b . 1 , c ) c . 2.1 , d ) d . 3 , e ) e . 2.4", - "Correct": "e", - "Explanation": "30 % of 6 = 1.8 50 % of 6 = 3 shortage is 1.2 so we need to have 1.2 / 50 % to get 50 % alcohol content . = 2.4 e" - }, - { - "Answer": 10, - "Options": "a ) 8.5 km / hr , b ) 9 km / hr , c ) 10 km / hr , d ) 12.5 km / hr , e ) none", - "Correct": "c", - "Explanation": "sol . man ' s rate in still in water = ( 15 - 2.5 ) km / hr = 12.5 km / hr . man ' s rate against the current = ( 12.5 - 2.5 ) km / hr = 10 km / hr . answer c" - }, - { - "Answer": 1100, - "Options": "a ) 1000 , b ) 1100 , c ) 1200 , d ) 1300 , e ) 1400", - "Correct": "b", - "Explanation": "\"p - 572 = ( p * 6 * 8 ) / 100 p = 1100 the answer is b .\"" - }, - { - "Answer": 97.74999999999999, - "Options": "a ) $ 97.75 , b ) $ 90 , c ) $ 91.56 , d ) $ 95.62 , e ) $ 93.45", - "Correct": "a", - "Explanation": "let the original price be $ 100 new final price = 85 % of ( 115 % of $ 100 ) = 85 / 100 * 115 / 100 * 100 = $ 97.75 answer is a" - }, - { - "Answer": 71.42857142857143, - "Options": "a ) $ 120 , b ) $ 100 , c ) $ 91 , d ) $ 71 , e ) $ 69", - "Correct": "d", - "Explanation": "cost price = selling price * 100 / ( 100 + profit ) c . p . = 100 * 100 / 140 = $ 71 ( approximately ) answer is d" - }, - { - "Answer": 71.28571428571429, - "Options": "a ) 50.4 % , b ) 71.3 % , c ) 66.5 % , d ) 34.9 % , e ) 43.5 %", - "Correct": "b", - "Explanation": "\"let n be the total number of books sold . hence n = 75 + 50 + 64 + 78 + 135 = 402 let m be the books not sold m = 1400 - n = 1400 - 402 = 998 percentage books not sold / total number of books = 998 / 1400 = 0.713 = 71.3 % correct answer b\"" - }, - { - "Answer": 1079.9999999999998, - "Options": "a ) 484 , b ) 1080 , c ) 1,100 , d ) 1,320 , e ) 1,694", - "Correct": "b", - "Explanation": "lets consider the below - the number of stocks that closed at a higher price = h the number of stocks that closed at a lower price = l we understand from first statement - > h + l = 1980 - - - - ( 1 ) we understand from second statement - > h = ( 120 / 100 ) l = > h = 1.2 l - - - - ( 2 ) solve eq ( 1 ) ( 2 ) to get h = 1080 . b is my answer ." - }, - { - "Answer": 400, - "Options": "a ) 344 , b ) 218 , c ) 400 , d ) 388 , e ) 211", - "Correct": "c", - "Explanation": "\"explanation : let original cost price is x its selling price = ( 105 / 100 ) * x = 21 x / 20 new cost price = ( 95 / 100 ) * x = 19 x / 20 new selling price = ( 110 / 100 ) * ( 19 x / 20 ) = 209 x / 200 [ ( 21 x / 20 ) - ( 209 x / 200 ) ] = 2 = > x = 400 answer : c ) rs 400\"" - }, - { - "Answer": 3000.0000000000014, - "Options": "a ) 2333 , b ) 2777 , c ) 3000 , d ) 1000 , e ) 2871", - "Correct": "c", - "Explanation": "( x * 5 * 1 ) / 100 + [ ( 2500 - x ) * 6 * 1 ] / 100 = 120 x = 3000 answer : c" - }, - { - "Answer": 18, - "Options": "a ) 8 \u00b0 , b ) 10 \u00b0 , c ) 18 \u00b0 , d ) 36 \u00b0 , e ) 52 \u00b0", - "Correct": "c", - "Explanation": "\"14 % microphotonics ; 24 % home electronics ; 20 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; 100 - ( 14 + 24 + 20 + 29 + 8 ) = 5 % basic astrophysics . 5 % of 360 \u00b0 is 18 \u00b0 . answer : c .\"" - }, - { - "Answer": 64, - "Options": "a ) 42 , b ) 48 , c ) 64 , d ) 76 , e ) 88", - "Correct": "c", - "Explanation": "\"200 are sophomores . the number of freshmen is 600 - 160 - 0.22 ( 800 ) = 264 the answer is c .\"" - }, - { - "Answer": 0.05, - "Options": "a ) 0.5 , b ) 0.05 , c ) 0.005 , d ) 0.0005 , e ) 5", - "Correct": "b", - "Explanation": "\"5 / 100 = 0.05 answer : b\"" - }, - { - "Answer": 675, - "Options": "a ) rs . 660 , b ) rs . 675 , c ) rs . 860 , d ) rs . 960 , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : here always remember , when ever x % loss , it means s . p . = ( 100 - x ) % of c . p when ever x % profit , it means s . p . = ( 100 + x ) % of c . p so here will be ( 100 - x ) % of c . p . = 90 % of 750 = 90 / 100 * 750 = 675 option b\"" - }, - { - "Answer": 167.99999999999997, - "Options": "a ) 81 , b ) 100 , c ) 120 , d ) 135 , e ) 168", - "Correct": "e", - "Explanation": "my solution : wholesale price = 126 retail price , be = x he provides 10 % discount on retail price = x - 10 x / 100 this retail price = 20 % profit on wholesale price x - 10 x / 100 = 126 + 1 / 5 ( 126 ) x = 168 ; answer : e" - }, - { - "Answer": 25, - "Options": "a ) 25 % , b ) 33.3 % , c ) 40 % , d ) 60 % , e ) 66.6 %", - "Correct": "a", - "Explanation": "\"let the price of a ticket be rs . 100 , so 6 tickets cost 600 & 8 tickets cost 800 8 tickets purchased at price of 6 tickets ie . , for 600 , so amount saved s rs . 200 , % of 6 tickets = ( 200 / 800 ) * 100 = 25 % answer : a\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 16 % , b ) 33.33 % , c ) 33.69 % , d ) 33.98 % , e ) 37 %", - "Correct": "b", - "Explanation": "\"increase = ( 10 / 30 ) * 100 = ( 1 / 3 ) * 100 = 33.33 % . b\"" - }, - { - "Answer": 243.75, - "Options": "a ) 182 , b ) 208 , c ) 224 , d ) 254 , e ) 244", - "Correct": "e", - "Explanation": "\"if x is the original number of faculty members , then after 20 % reduction in faculty members number is . 80 x but we are given . 80 x = 195 x = 244 so the original number of faculty members is 244 correct answer - e\"" - }, - { - "Answer": 9.090909090909092, - "Options": "a ) 8.8 % , b ) 9 % , c ) 9.2 % , d ) 9.1 % , e ) 8.4 %", - "Correct": "d", - "Explanation": "\"the amount of chromium in the new 15 + 40 = 55 kg alloy is 0.12 * 15 + 0.08 * 40 = 5 kg , so the percentage is 5 / 55 * 100 = 9.1 % . answer : d .\"" - }, - { - "Answer": 5000, - "Options": "a ) 2299 , b ) 2699 , c ) 2670 , d ) 6725 , e ) 5000", - "Correct": "e", - "Explanation": "\"cp = sp * ( 100 / ( 100 + profit % ) ) = 5750 ( 100 / 115 ) = rs . 5000 answer : e\"" - }, - { - "Answer": 36, - "Options": "a ) 8 , b ) 12 , c ) 20 , d ) 32 , e ) 36", - "Correct": "e", - "Explanation": "jan 1 = c feb 1 = c - 4 march 1 = c - 8 april 1 = c - 12 may 1 = c - 16 june 1 = c - 20 july 1 = c - 24 aug 1 = c - 28 sept 1 = c - 32 oct 1 = c - 36 difference between stock on october 1 than were in stock on january 1 will be - c - ( c - 36 ) = 36 hence answer will be ( e )" - }, - { - "Answer": 15.254237288135593, - "Options": "a ) 16.7 % , b ) 16.2 % , c ) 16.5 % , d ) 15.5 % , e ) 15.3 %", - "Correct": "e", - "Explanation": "\"12 * 10 + 18 = 138 ( 18 / 118 ) * 100 = 15.3 answer : e\"" - }, - { - "Answer": 55.333333333333336, - "Options": "a ) rs . 49.17 , b ) rs . 51.03 , c ) rs . 54.17 , d ) rs . 55.33 , e ) none of the above", - "Correct": "d", - "Explanation": "\"50 * 10 = 500 66 * 5 = 330 830 / 15 = 55.33 answer : d\"" - }, - { - "Answer": 53, - "Options": "a ) 69 . , b ) 73 . , c ) 53 , d ) 91 , e ) 108", - "Correct": "c", - "Explanation": "\"total students = 420 boys = 312 , girls = 108 total playing soccer = 250 78 % of 250 = 195 are boys who play soccer . girls who play soccer = 55 . total girls who do not play soccer = 108 - 55 = 53 . correct option : c\"" - }, - { - "Answer": 9724.050000000001, - "Options": "a ) s . 9621 , b ) s . 6921 , c ) s . 9724 , d ) s . 6261 , e ) s . 6361", - "Correct": "c", - "Explanation": "\"c . i = p ( 1 + r / 100 ) ^ n = 8000 ( 1 + 5 / 100 ) ^ 4 = rs 9724 answer : c\"" - }, - { - "Answer": 6, - "Options": "a ) 0.006 % , b ) 0.06 % , c ) 6 % , d ) 2 % , e ) 60 %", - "Correct": "c", - "Explanation": "\"in 30 days 30 * 0.02 = 0.6 ounces of water evaporated , which is 0.6 / 10 \u00e2 \u02c6 \u2014 100 = 6 of the original amount of water . answer : c .\"" - }, - { - "Answer": 20000, - "Options": "a ) 10000 , b ) 20000 , c ) 15000 , d ) 61000 , e ) 26000", - "Correct": "b", - "Explanation": "\"explanation : a : b = 3 : 1 = 3 : 1 = > a : c = 3 : 2 = 3 : 2 = > a : b : c = 3 : 1 : 2 c share = ( 2 / 6 ) * 60000 = 20000 option b\"" - }, - { - "Answer": 4, - "Options": "a ) 8 , b ) 10 , c ) 6 , d ) 2 , e ) 4", - "Correct": "e", - "Explanation": "\"i find it much easier to understand with real numbers , so choose ( almost ) any numbers to replace m , n and p : in a certain village , m 150 litres of water are required per household per month . at this rate , if there aren 10 households in the village , how long ( in months ) willp 2000 litres of water last ? water required is 150 * 10 = 1500 ( m * n ) water available is 6000 ( p ) it will last 4 months ( p / m * n ) ans : e\"" - }, - { - "Answer": 70, - "Options": "a ) 70 , b ) 50 , c ) 60 , d ) 80 , e ) 65", - "Correct": "a", - "Explanation": "\"700 * ( 30 / 100 ) = 210 - - - - 3 ? - - - - 1 = > rs . 70 answer : a\"" - }, - { - "Answer": 132, - "Options": "a ) 81 , b ) 100 , c ) 120 , d ) 132 , e ) 160", - "Correct": "d", - "Explanation": "\"my solution : wholesale price = 99 retail price , be = x he provides 10 % discount on retail price = x - 10 x / 100 this retail price = 20 % profit on wholesale price x - 10 x / 100 = 99 + 1 / 5 ( 99 ) x = 132 ; answer : d\"" - }, - { - "Answer": 33.85826771653544, - "Options": "a ) 24 % , b ) 25 % , c ) 34 % , d ) 36 % , e ) 40 %", - "Correct": "c", - "Explanation": "\"215 / ( 850 - 215 ) = 215 / 635 = 43 / 127 = 34 % . answer : c .\"" - }, - { - "Answer": 17.01, - "Options": "a ) 16.39 , b ) 16.33 , c ) 16.35 , d ) 17.01 , e ) 16.32", - "Correct": "d", - "Explanation": "c . p . of 50 kg wheat = ( 30 * 11.50 + 20 * 14.25 ) = rs . 630 . s . p . of 50 kg wheat = 135 % of rs . 630 = 135 / 100 * 630 = rs . 850.50 . s . p . per kg = 850.50 / 50 = rs . 16.38 = 16.30 . answer : d" - }, - { - "Answer": 352, - "Options": "a ) s . 345 , b ) s . 350 , c ) s . 352 , d ) s . 362 , e ) s . 368", - "Correct": "c", - "Explanation": "\"suresh : rohan : sudhir ratio of their investments = 18000 \u00d7 12 : 12000 \u00d7 9 : 9000 \u00d7 8 = 6 : 3 : 2 the difference between rohan \u2019 s and sudhir \u2019 s share = 1 share : . i . e . = rs . 3872 \u00d7 1 / 11 = rs . 352 . c\"" - }, - { - "Answer": 26.000000000000004, - "Options": "a ) 24 % , b ) 25 % , c ) 26 % , d ) 28 % , e ) 35 %", - "Correct": "c", - "Explanation": "\"total number of apples = 280 let the cost price be x selling price at 20 % profit = 1.2 x selling price at 30 % profit = 1.3 x profit % = ( ( sp - cp ) / cp ) * 100 profit % = ( ( 2 / 5 ) * 280 * 1.2 x + ( 3 / 5 ) * 280 * 1.3 x - 280 x ) / 280 x * 100 = ( 1 / 5 * ( 2.4 + 3.9 ) - 1 ) * 100 = ( 6.3 - 5 ) * 20 = 26 % answer : c\"" - }, - { - "Answer": 65, - "Options": "a ) 82 % , b ) 6.5 % , c ) 0.82 % , d ) 65 % , e ) 0.0065 %", - "Correct": "d", - "Explanation": "here in question it is asking $ 65 is what percent of $ 100 . suppose $ 65 is x % of 100 means 100 * ( x / 100 ) = 65 hence x = 65 so answer is d" - }, - { - "Answer": 5, - "Options": "a ) 5 % , b ) 6 % , c ) 7 % , d ) 8 % , e ) 9 %", - "Correct": "a", - "Explanation": "s . i . = 1680 , r = 4 % t = 5 years principal = ( 100 * 1680 ) / ( 5 * 4 ) = 8400 so p = 8400 rate = ( 100 * 1680 ) / ( 8400 * 4 ) = 5 % answer : a" - }, - { - "Answer": 428.5714285714286, - "Options": "a ) 400 , b ) 428.5 , c ) 480 , d ) 500 , e ) 600", - "Correct": "b", - "Explanation": "\"minimum no of mail to be sent for getting 300 responses at 70 % = 300 / 0.7 = 428.5 option b\"" - }, - { - "Answer": 600, - "Options": "a ) $ 500 , b ) $ 504 , c ) $ 505 , d ) $ 560 , e ) $ 600", - "Correct": "e", - "Explanation": "\"explanation : cash price = $ 25 000 deposit = 10 % \u00e3 \u2014 $ 25 000 = $ 2500 loan amount = $ 25000 \u00e2 \u02c6 \u2019 $ 2500 number of payments = 60 = $ 22500 i = p * r * t / 100 i = 13500 total amount = 22500 + 13500 = $ 36000 regular payment = total amount / number of payments = 600 answer : e\"" - }, - { - "Answer": 34, - "Options": "a ) $ 16.32 , b ) $ 18.00 , c ) $ 21.60 , d ) $ 34 , e ) $ 28.80", - "Correct": "d", - "Explanation": "\"the discounted price of one can of soda is ( 0.85 ) ( $ 0.40 ) , or $ 0.34 . therefore , the price of 72 cans of soda at the discounted price would be ( 100 ) ( $ 0.34 ) = 34 answer : d .\"" - }, - { - "Answer": 9356.725146198829, - "Options": "a ) s . 6000 , b ) s . 9000 , c ) s . 10800 , d ) s . 9357 , e ) s . 9980", - "Correct": "d", - "Explanation": "\"let actual price was 100 . after three successive discount this will become , 100 = = 20 % discount = > 80 = = 10 % discount = > 72 = = 5 % discount = 68.4 now compare , 68.4 = 6400 1 = 6400 / 68.4 100 = ( 6400 * 100 ) / 68.4 = rs . 9357 . answer : option d\"" - }, - { - "Answer": 4096, - "Options": "a ) 3200 , b ) 4000 , c ) 3250 , d ) 3825 , e ) 4096", - "Correct": "e", - "Explanation": "\"ratio of investment , as investments is for different time . investment x number of units of time . ratio of investments x : y : z = 36000 : 42000 : 48000 = > 6 : 7 : 8 . x = 6 x 12 months = 72 , y = 7 x 12 = 84 , z = 8 x 8 = 64 = > 18 : 21 : 16 . ratio of investments = > x : y : z = 18 : 21 : 16 . investment ratio = profit sharing ratio . z = 14080 \u00e3 \u2014 16 / 55 = rs . 4096 . share of z in the profit is rs . 4096 . option e\"" - }, - { - "Answer": 0.8, - "Options": "a ) 1 / 30 , b ) 1 / 5 , c ) 2 / 3 , d ) 3 / 4 , e ) 4 / 5", - "Correct": "e", - "Explanation": "\"let total paint = 1 let amount replaced = x 50 ( 1 - x ) + 25 x = 30 x = 4 / 5 answer : e\"" - }, - { - "Answer": 10.000000000000004, - "Options": "a ) 5 % , b ) 10 % , c ) 15 % , d ) 20 % , e ) 25 %", - "Correct": "b", - "Explanation": "\"let x be the cost price of one article . let y be the selling price of one article . 50 y = 55 x y = 1.1 x the answer is b .\"" - }, - { - "Answer": 190.47619047619048, - "Options": "a ) 110 , b ) 120 , c ) 130 , d ) 140 , e ) 190", - "Correct": "e", - "Explanation": "\"he secured 60 marks nd fail by 20 marks so total marks for pass the examinatn = 80 let toal marks x x * 42 / 100 = 80 x = 190 answer : e\"" - }, - { - "Answer": 3200, - "Options": "a ) $ 8,000 , b ) $ 5,600 , c ) $ 3,200 , d ) $ 2,400 , e ) $ 800", - "Correct": "c", - "Explanation": "\"market value in 1982 = $ 8000 market value in 1983 = $ 8000 - ( $ 8000 x 30 / 100 ) = 8000 - 2400 = $ 5600 market value in 1984 = market value in 1983 - ( 30 % of $ 8000 ) = 5600 - 2400 = $ 3200 answer : c\"" - }, - { - "Answer": 7000, - "Options": "a ) rs . 6725 , b ) rs . 6727 , c ) rs . 6908 , d ) rs . 6725 , e ) rs . 7000", - "Correct": "e", - "Explanation": "\"cp = sp * ( 100 / ( 100 + profit % ) ) = 8400 ( 100 / 120 ) = rs . 7000 . answer : e\"" - }, - { - "Answer": 832, - "Options": "a ) $ 480 , b ) $ 450 , c ) $ 960 , d ) $ 832 , e ) $ 660", - "Correct": "d", - "Explanation": "\"let c . p . = $ x . then , 832 - x = x - 448 2 x = 1280 = > x = 640 required s . p . = 130 % of $ 640 = $ 832 . d\"" - }, - { - "Answer": 8243.216, - "Options": "a ) $ 645.56 , b ) $ 824.32 , c ) $ 954.26 , d ) $ 745.69 , e ) $ 8243.21", - "Correct": "e", - "Explanation": "\"principle = $ 10000 rate = 2 % half yearly = 4 half years amount = 100000 * ( 1 + 2 / 100 ) ^ 4 = 100000 * 51 / 50 * 51 / 50 * 51 / 50 * 51 / 50 = $ 108243.21 c . i . = 108243.21 - 100000 = $ 8243.21 answer is e\"" - }, - { - "Answer": 1500.0000000000007, - "Options": "a ) 2333 , b ) 2777 , c ) 2688 , d ) 1500 , e ) 2871", - "Correct": "d", - "Explanation": "\"( x * 5 * 1 ) / 100 + [ ( 2500 - x ) * 6 * 1 ] / 100 = 135 x = 1500 answer : d\"" - }, - { - "Answer": 65, - "Options": "a ) 80 % , b ) 65 % , c ) 28.33 % , d ) 19.109 % , e ) 50 %", - "Correct": "b", - "Explanation": "\"anyways , one can infer that he ' steals ' 10 % from suppliers and then charges 50 % extra to customers so basically 1.1 * 1.5 = 1.65 given that 1 is start point , we get 65 % more hence answer is b\"" - }, - { - "Answer": 39.999999999999986, - "Options": "a ) 20 , b ) 25 , c ) 30 , d ) 35 , e ) 40", - "Correct": "e", - "Explanation": "\"let x be the number of additional games the gambler needs to play . 0.4 ( 40 ) + 0.8 x = 0.6 ( x + 40 ) 0.2 x = 8 x = 40 the answer is e .\"" - }, - { - "Answer": 2.0000000000000027, - "Options": "a ) 8 % , b ) 7 % , c ) 10 % , d ) 12 % , e ) 2 %", - "Correct": "e", - "Explanation": "\"option e explanation : 65 * ( 90 / 100 ) * ( ( 100 - x ) / 100 ) = 57.33 x = 2 %\"" - }, - { - "Answer": 264, - "Options": "a ) s . 247 , b ) s . 248 , c ) s . 264 , d ) s . 329 , e ) s . 412", - "Correct": "c", - "Explanation": "\"given that sp = rs . 187 and loss = 15 % cp = [ 100 ( sp ) ] / ( 100 - l % ) = ( 100 * 187 ) / 85 = 20 * 6 = rs . 220 . to get 20 % profit , new sp = [ ( 100 + p % ) cp ] / 100 = ( 220 * 120 ) / 100 = rs . 264 answer : c\"" - }, - { - "Answer": 550, - "Options": "a ) 550 , b ) 882 , c ) 772 , d ) 652 , e ) 271", - "Correct": "a", - "Explanation": "\"cost price = rs . 500 profit = 10 % of 500 = rs . 50 selling price = cost price + profit = 500 + 50 = 550 answer : a\"" - }, - { - "Answer": 59.99999999999998, - "Options": "a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90", - "Correct": "b", - "Explanation": "\"60 % is 20 % - points above 40 % and 20 % - points below 80 % . thus the ratio of ` ` the first 30 games ' ' to ` ` remaining games ' ' is 1 : 1 . so the team played a total of 30 + 30 = 60 games . the answer is b .\"" - }, - { - "Answer": 66, - "Options": "a ) 78 % , b ) 66 % , c ) 62 % , d ) 64 % , e ) 60 %", - "Correct": "b", - "Explanation": "\"let n be the total number of books sold . hence n = 62 + 62 + 60 + 48 + 40 = 272 let m be the books not sold m = 800 - n = 1400 - 272 = 528 percentage books not sold / total number of books = 528 / 800 = 0.66 = 66 % correct answer b\"" - }, - { - "Answer": 37, - "Options": "a ) 25 , b ) 66 , c ) 18 , d ) 37 , e ) 01", - "Correct": "d", - "Explanation": "\"explanation : dividend on 1 share = ( 18.5 * 50 ) / 100 = rs . 9.25 rs . 25 is income on an investment of rs . 100 rs . 9.25 is income on an investment of rs . ( 9.25 * 100 ) / 25 = rs . 37 answer : d\"" - }, - { - "Answer": 100000, - "Options": "a ) 8000 , b ) 8500 , c ) 9000 , d ) 9500 , e ) 100000", - "Correct": "e", - "Explanation": "10 % decreased 90 % balance = 90000 100 % = 90000 / 90 * 100 = 100000 answer : e" - }, - { - "Answer": 95, - "Options": "a ) 12 , b ) 27 , c ) 29 , d ) 55 , e ) 95", - "Correct": "e", - "Explanation": "sp per metre = 18000 / 200 = rs . 90 loss per metre = rs . 5 cp per metre = 90 + 5 = rs . 95 . answer : e" - }, - { - "Answer": 66, - "Options": "a ) 160 , b ) 150 , c ) 100 , d ) 66 , e ) 50", - "Correct": "d", - "Explanation": "\"say there are a gallons of fuel a in the tank , then there would be 204 - a gallons of fuel b . the amount of ethanol in a gallons of fuel a is 0.12 a ; the amount of ethanol in 204 - a gallons of fuel b is 0.16 ( 204 - a ) ; since the total amount of ethanol is 30 gallons then 0.12 a + 0.16 ( 204 - a ) = 30 - - > a = 66 . answer : d .\"" - }, - { - "Answer": 8, - "Options": "a ) 5 % , b ) 6 % , c ) 7 % , d ) 8 % , e ) 9 %", - "Correct": "d", - "Explanation": "\"1512 - 1400 = 112 is the rate of interest on $ 1400 for one year . the rate of interest = ( 100 * 112 ) / ( 1400 ) = 8 % the answer is d .\"" - }, - { - "Answer": 250, - "Options": "a ) $ 190 , b ) $ 180 , c ) $ 200 , d ) $ 240 , e ) $ 250", - "Correct": "e", - "Explanation": "\"120 amounts to 160 in 3 years . i . e ( principal + interest ) on 120 in 3 years = 160 120 + 120 * ( r / 100 ) * ( 3 ) = 160 = > r = 100 / 9 150 in 6 years = principal + interest = 150 + 150 * ( r / 100 ) * ( 6 ) 250 answer is e .\"" - }, - { - "Answer": 1200000, - "Options": "a ) a ) 1200000 , b ) b ) 562000 , c ) c ) 800000 , d ) d ) 500000 , e ) e ) 652000", - "Correct": "a", - "Explanation": "\"3 children got = 3 * 20 % = 60 % wife got = 30 % orphan house = 5 % total = 60 + 30 + 5 = 95 % remaining = 100 - 95 = 5 % 5 % = 60000 100 % = 60000 * 100 / 5 = $ 1200000 answer is a\"" - }, - { - "Answer": 27.5, - "Options": "a ) 27.5 % , b ) 25.6 % , c ) 31.5 % , d ) 35.9 % , e ) 29.5 %", - "Correct": "a", - "Explanation": "\"total number of apples = 100 let the cost price be x selling price at 25 % profit = 1.25 x selling price at 30 % profit = 1.3 x profit % = ( ( sp - cp ) / cp ) * 100 profit % = ( ( 1 / 2 ) * 100 * 1.25 x + ( 1 / 2 ) * 100 * 1.3 x - 100 x ) / 100 x * 100 = ( 255 - 200 ) / 2 = 27.5 % answer is a\"" - }, - { - "Answer": 3.0927835051546504, - "Options": "a ) 3.09 % , b ) 5.36 % , c ) 4.26 % , d ) 6.26 % , e ) 7.26 %", - "Correct": "a", - "Explanation": "\"his percentage gain is 100 * 30 / 970 as he is gaining 30 units for his purchase of 970 units . so 3.09 % . answer : a\"" - }, - { - "Answer": 320, - "Options": "a ) 240 , b ) 388 , c ) 379 , d ) 277 , e ) 320", - "Correct": "e", - "Explanation": "\"explanation : ( 3 * 8 + 2 * 4 ) : ( 4 * 8 + 5 * 4 ) 8 : 13 8 / 21 * 840 = 320 answer : e\"" - }, - { - "Answer": 8.052631578947368, - "Options": "a ) 9.55 , b ) 6.25 , c ) 6.75 , d ) 8.05 , e ) 7.25", - "Correct": "d", - "Explanation": "required run rate = 360 - ( 4.5 x 12 ) / 38 = 306 / 38 = 8.05 option d" - }, - { - "Answer": 1190, - "Options": "a ) 1192 , b ) 1191 , c ) 1118 , d ) 1190 , e ) 1112", - "Correct": "d", - "Explanation": "\"explanation : s . p = 85 % of rs . 1400 \u21d2 rs . ( 8510085100 \u00d7 1400 ) = rs . 1190 . answer : d\"" - }, - { - "Answer": 2, - "Options": "a ) 2 % , b ) 5 % , c ) 14 % , d ) 28 % , e ) 4 %", - "Correct": "a", - "Explanation": "\"case 1 : ( 7 / 60 ) = x / 100 x = 12 % case 2 : ( 9 / 63 ) = y / 100 y = 14 % so percent increase is = ( y - x ) = ( 14 - 12 ) % = 2 % answer is a\"" - }, - { - "Answer": 1050, - "Options": "a ) 1050 , b ) 1220 , c ) 1250 , d ) 1060 , e ) 1110", - "Correct": "a", - "Explanation": "\"p - 672 = ( p * 6 * 6 ) / 100 p = 1050 answer : a\"" - }, - { - "Answer": 45, - "Options": "a ) 30 , b ) 45 , c ) 50 , d ) 60 , e ) 65", - "Correct": "b", - "Explanation": "\"a hostel had provisions for 250 men for 36 days if 50 men leaves the hostel , remaining men = 250 - 50 = 200 we need to find out how long the food will last for these 200 men . let the required number of days = x days more men , less days ( indirect proportion ) ( men ) 250 : 200 : : x : 36 250 \u00d7 36 = 200 x 5 \u00d7 36 = 4 x x = 5 \u00d7 9 = 45 answer b\"" - }, - { - "Answer": 1000, - "Options": "a ) 400 , b ) 625 , c ) 1,250 , d ) 2,500 , e ) 1,000", - "Correct": "e", - "Explanation": "\"this is a rather straight forward ratio problem . 1 . 40 fish tagged 2 . 2 out of the 50 fish caught were tagged thus 2 / 50 2 / 50 = 40 / x thus , x = 1000 think of the analogy : 2 fish is to 50 fish as 50 fish is to . . . ? you ' ve tagged 50 fish and you need to find what that comprises as a percentage of the total fish population - we have that information with the ratio of the second catch . e\"" - }, - { - "Answer": 1000, - "Options": "a ) $ 600 , b ) $ 800 , c ) $ 1,000 , d ) $ 1,600 , e ) $ 2,400", - "Correct": "c", - "Explanation": "\"let total rent the motel charge for all rooms = x if 10 rooms that were rented for 60 $ had instead been rented for 40 $ , then total difference in prices = 20 $ * 10 = 200 $ total rent the motel charged would have been reduced by 20 % . 2 x = 200 = > x = 1000 answer c\"" - }, - { - "Answer": 22500, - "Options": "a ) $ 3,750 , b ) $ 5,600 , c ) $ 8,100 , d ) $ 15,000 , e ) $ 22,500", - "Correct": "e", - "Explanation": "solution : money compounded annually at x % triples in 112 / x years . we need to find the final amount of 2500 at the end of the 28 years . . compounded annually at 8 % by putting the value in formula it will give us = 2500 ( 1.08 ) ^ 28 there must be a relation between these two conditions ? x = 8 % so money will triple in 112 / 8 = 14 years so money will be 3 ^ 2 = 9 times in 28 years so 2500 * 9 = 22500 answer : e" - }, - { - "Answer": 85, - "Options": "a ) 85 % , b ) 80 % , c ) 75 % , d ) 70 % , e ) 65 %", - "Correct": "a", - "Explanation": "\"the percent of employees who are unionized and men is 0.7 * 0.6 = 42 % the percent of employees who are unionized and women is 60 - 42 = 18 % 52 % of all employees are women , so non - union women are 52 % - 18 % = 34 % 40 % of all employees are non - union . the percent of non - union employees who are women is 34 % / 40 % = 85 % the answer is a .\"" - }, - { - "Answer": 1.66, - "Options": "a ) 1.66 % , b ) 1.96 % , c ) 10 % , d ) 15 % , e ) 19 %", - "Correct": "a", - "Explanation": "\"i think there is a typo in question . it should have been ` ` by weight liquid ' x ' makes up . . . . . ` ` weight of liquid x = 0.8 % of weight of a + 1.8 % of weight of b when 500 gms of a and 700 gms of b is mixed : weight of liquid x = ( 0.8 * 500 ) / 100 + ( 1.8 * 700 ) / 100 = 16.6 gms % of liquid x in resultant mixture = ( 16.6 / 1000 ) * 100 = 1.66 % a\"" - }, - { - "Answer": 993.0000000000014, - "Options": "a ) 900 , b ) 930 , c ) 990 , d ) 993 , e ) none of these", - "Correct": "d", - "Explanation": "\"solution = interest % for 1 st year = 10 interest % for 2 nd year = 10 + 10 % of 10 = 10 + 10 * 10 / 100 = 11 interest % for 3 rd year = 10 + 10 % ( 10 + 11 ) = 10 + 2.1 = 12.1 total % of interest = 10 + 11 + 12.1 = 33.1 total interest = 33.1 % 3000 = 3000 * ( 33.1 / 100 ) = 993 answer d\"" - }, - { - "Answer": 120, - "Options": "a ) 120 rs , b ) 150 rs , c ) 160 rs , d ) 180 rs , e ) 200 rs", - "Correct": "a", - "Explanation": "\"gain in 2 years = [ ( 6000 * 6 * 2 ) / 100 ] - [ ( 6000 * 4 * 2 ) / 100 ] 720 - 480 = 240 gain in 1 year = ( 240 / 2 ) = 120 rs answer : a\"" - }, - { - "Answer": 0.33333333333333326, - "Options": "a ) 1 / 3 , b ) 1 / 5 , c ) 2 / 3 , d ) 3 / 4 , e ) 4 / 5", - "Correct": "a", - "Explanation": "\"40 % is 20 % - points above 20 % and 10 % - points below 50 % . thus the ratio of 20 % - solution to 50 % - solution is 1 : 2 . 1 / 3 of the original paint was replaced . the answer is a .\"" - }, - { - "Answer": 1200, - "Options": "a ) 1800 , b ) 1000 , c ) 1200 , d ) 1400 , e ) 1600", - "Correct": "c", - "Explanation": "\"volume of pool = 60 * 150 * 10 cu . ft , 80 % full = 60 * 150 * 10 * 0.8 cu . ft water is available to drain . draining capacity = 60 cu . ft / min therefore time taken = 60 * 150 * 10 * 0.8 / 60 min = 1200 min c\"" - }, - { - "Answer": 35, - "Options": "a ) 35 % , b ) 20 % , c ) 17 % , d ) 18 % , e ) none of these", - "Correct": "a", - "Explanation": "\"explanation : let the cp of the article = rs . 100 . then labeled price = rs . 150 . sp = rs . 150 - 10 % of 150 = rs . 150 - 15 = rs . 135 . gain = rs . 135 \u00e2 \u20ac \u201c rs . 100 = rs . 35 therefore , gain / profit percent = 35 % . answer : option a\"" - }, - { - "Answer": 36, - "Options": "a ) 18 , b ) 36 , c ) 42 , d ) 68 , e ) 70", - "Correct": "b", - "Explanation": "\"the correct method total = 220 . . 70 % of 220 = 154 got gifts . . 66 did not get gift , out of which 12 are males , so remaining 60 - 12 = 54 are females . . but 40 % females brought gift , so 60 % did not get it . . so 60 % = 54 , 100 % = 54 * 100 / 60 = 90 . . ans 40 % of 90 = 36 b\"" - }, - { - "Answer": 75, - "Options": "a ) 80 , b ) 75 , c ) 56 , d ) 50 , e ) 105", - "Correct": "b", - "Explanation": "\"we are first given that a team won 65 percent of its first 100 games . this means the team won 0.65 x 100 = 65 games out of its first 100 games . we are next given that the team won 50 percent of its remaining games . if we use variable t to represent the total number of games in the season , then we can say t \u2013 100 equals the number of remaining games in the season . thus we can say : 0.5 ( t \u2013 100 ) = number of wins for remaining games 0.5 t \u2013 50 = number of wins for remaining games lastly , we are given that team won 70 percent of all games played in the season . that is , they won 0.7 t games in the entire season . with this we can set up the equation : number of first 100 games won + number of games won for remaining games = total number of games won in the entire season 65 + 0.5 t \u2013 50 = 0.7 t 15 = 0.2 t 150 = 2 t 75 = t answer is b .\"" - }, - { - "Answer": 0.4666666666666667, - "Options": "a ) 1 / 5 , b ) 1 / 3 , c ) 2 / 5 , d ) 1 / 2 , e ) 7 / 15", - "Correct": "e", - "Explanation": "\"let weight of jar filled with beans = 100 g weight of jar = 25 g weight of coffee beans = 75 g weight of jar and remaining beans = 60 g weight of remaining beans = 35 g fraction remaining = 35 / 75 = 7 / 15 answer is e .\"" - }, - { - "Answer": 60000, - "Options": "a ) 35000 , b ) 40000 , c ) 50000 , d ) 60000 , e ) none", - "Correct": "d", - "Explanation": "\"suppose q invested rs . y . then , 40000 / y = 2 / 3 or y = [ 40000 x 3 / 2 ] = 60000 . answer d\"" - }, - { - "Answer": 6.640625, - "Options": "a ) 4 , b ) 7.6 , c ) 6.6 , d ) 7.6 , e ) 9.6", - "Correct": "c", - "Explanation": "by investing rs . 3200 , income = rs . 250 by investing rs . 85 , income = 250 \u00e3 \u2014 85 / 3200 = 6.6 ie , dividend = 6.6 % answer is c ." - }, - { - "Answer": 30, - "Options": "a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 30 %", - "Correct": "e", - "Explanation": "\"price of a coat in a certain store = $ 500 the price of the coat is to be reduced by $ 150 % change = ( final value - initial value ) * 100 / initial value % reduction = ( reduction in price ) * 100 / initial value i . e . % reduction = ( 150 ) * 100 / 500 = 30 % answer : option e\"" - }, - { - "Answer": 40, - "Options": "a ) 11 , b ) 28 , c ) 39 , d ) 40 , e ) 43", - "Correct": "d", - "Explanation": "\"96 % - - - - 60 144 % - - - - ? 96 / 144 * 60 = 40 answer : d\"" - }, - { - "Answer": 50, - "Options": "a ) 33 4 / 3 % , b ) 33 1 / 7 % , c ) 50 % , d ) 32 1 / 3 % , e ) 60 %", - "Correct": "c", - "Explanation": "the total number of mangoes bought by the shopkeeper be 18 . if he buys 6 a rupee , his cp = 3 he selling at 3 a rupee , his sp = 6 profit = sp - cp = 6 - 3 = 3 profit percent = 3 / 6 * 100 = 50 % answer : c" - }, - { - "Answer": 784, - "Options": "a ) 600 , b ) 784 , c ) 1080 , d ) 1200 , e ) 1440", - "Correct": "b", - "Explanation": "$ 112 for 2 years = $ 56 per year . extra $ 8 yearned with the compound interest is the percent yearned on percent . so , $ 8 is yearned on $ 56 , which means that the interest = 7 % . this on the other hand means that half of the savings = 56 * 7 = $ 392 . twice of that = $ 784 . answer : b ." - }, - { - "Answer": 30, - "Options": "a ) rs . 20 , b ) rs . 25 , c ) rs . 30 , d ) rs . 35 , e ) rs . 40", - "Correct": "c", - "Explanation": "\"explanation : 1500 * ( 20 / 100 ) = 300 - - - - 10 ? - - - - 1 = > rs . 30 answer : c\"" - }, - { - "Answer": 0.6666666666666666, - "Options": "a ) 2 / 3 , b ) 1 / 4 , c ) 2 / 5 , d ) 3 / 7 , e ) 2 / 9", - "Correct": "a", - "Explanation": "required answer = 40 / 60 . = 2 / 3 answer is a" - }, - { - "Answer": 20, - "Options": "a ) 0.2 % , b ) 2 % , c ) 5 % , d ) 20 % , e ) 500 %", - "Correct": "d", - "Explanation": "\"14 = x * 70 / 100 x = 20 % ans ; d\"" - }, - { - "Answer": 25, - "Options": "a ) 60 % , b ) 23 % , c ) 25 % , d ) 56 % , e ) 73 %", - "Correct": "c", - "Explanation": "\"let c . p . be rs . 100 . then , s . p . = rs . 118.75 let marked price be rs . x . then , 95 / 100 x = 118.75 x = 11875 / 95 = rs . 125 now , s . p . = rs . 125 , c . p . = rs . 100 profit % = 25 % . answer : c\"" - }, - { - "Answer": 699.9999999999994, - "Options": "a ) $ 600 , b ) $ 650 , c ) $ 700 , d ) $ 750 , e ) $ 800", - "Correct": "c", - "Explanation": "let x be the money invested at 4 % . 1.04 x + 1.06 ( 1000 - x ) = 1046 . 0.02 x = 1060 - 1046 . 0.02 x = 14 . 2 x = 1400 . x = 700 . the answer is c ." - }, - { - "Answer": 55, - "Options": "a ) 15 % , b ) 25 % , c ) 35 % , d ) 40 % , e ) 55 %", - "Correct": "e", - "Explanation": "\"cost price of article = 48 $ % of overhead cost = 30 net profit = 12 $ we need to calculate % markup net profit as % of cost price = ( 12 / 48 ) * 100 = 25 % total markup should be = 25 + 30 = 55 % answer e\"" - }, - { - "Answer": 200, - "Options": "a ) $ 220 , b ) $ 230 , c ) $ 240 , d ) $ 200 , e ) $ 250", - "Correct": "d", - "Explanation": "what shall be the rate of interest . ? does that is not required for the calculation ? not really ! keep in mind that the interest earned each year will be the same in simple interest . at the end of 2 years , amount = $ 260 at the end of 5 years , amount = $ 350 this means she earned an interest of $ 90 in 3 years . or $ 30 in each year . we know that the interest earned each year will be the same . therefore she must have earned $ 60 in 2 years . hence principal amount = $ 260 - $ 60 = $ 200 option d" - }, - { - "Answer": 6.25, - "Options": "a ) 2.8 liters . , b ) 2.5 liters . , c ) 8.5 liters . , d ) 6.25 liters . , e ) 2.1 liters .", - "Correct": "d", - "Explanation": "\"answer : explanation : in each of the solutions , there is a pure tomato component and some water . so while boiling , water evaporates but tomato not . so we equate tomato part in the both equations . \u00e2 \u2021 \u2019 \u00e2 \u2021 \u2019 10 % ( 50 ) = 80 % ( x ) \u00e2 \u2021 \u2019 \u00e2 \u2021 \u2019 x = 6.25 liters . answer : d\"" - }, - { - "Answer": 559.9999999999999, - "Options": "a ) 288 , b ) 560 , c ) 155 , d ) 600 , e ) 441", - "Correct": "b", - "Explanation": "\"ratio of investments of a , b and c is 8000 : 10000 : 12000 = 4 : 5 : 6 and also given that , profit share of b is rs . 1400 = > 5 parts out of 15 parts is rs . 1400 now , required difference is 6 - 4 = 2 parts required difference = 2 / 5 ( 1400 ) = rs . 560 answer : b\"" - }, - { - "Answer": 11, - "Options": "a ) 9 % , b ) 10 % , c ) 11 % , d ) 12 % , e ) 13 %", - "Correct": "c", - "Explanation": "\"9000 - - - 990 100 - - - ? = > 11 % answer : c\"" - }, - { - "Answer": 0.4666666666666667, - "Options": "a ) 3 / 5 , b ) 5 / 9 , c ) 1 / 24 , d ) 4 / 9 , e ) 7 / 15", - "Correct": "e", - "Explanation": "\"an empty wooden vessel weighs 16 % of its total weight when filled with paint : vessel = 0.16 ( vessel + paint ) ; 16 v = v + p ( so the weight of completely filled vessel is 16 v ) p = 15 v ( so the weight of the paint when the vessels is completely filled is 15 v ) . the weight of a partially filled vessel is one half that of a completely filled vessel : v + p ' = 1 / 2 * 16 v ; p ' = 7 v ( so the weight of the paint when the vessels is partially filled is 7 v ) . what fraction of the vessel is filled ? so , we need to find the ratio of the weight of the paint when the vessel iscompletely filledto the weight of the paint when the vessel ispartially filled : p ' / p = 7 v / 15 v = 7 / 15 . answer : e .\"" - }, - { - "Answer": 64, - "Options": "a ) 16 , b ) 32 , c ) 64 , d ) 96 , e ) 128", - "Correct": "c", - "Explanation": "\"1 weaver can weave 1 mat in 4 days . 16 weavers can weave 16 mats in 4 days . 16 weavers can weave 64 mats in 16 days . the answer is c .\"" - }, - { - "Answer": 31200, - "Options": "a ) $ 28,300 , b ) $ 30,400 , c ) $ 31,300 , d ) $ 31,200 , e ) $ 35,100", - "Correct": "d", - "Explanation": "let the principal amount = p simple annual interest = 9 % simple monthly interest = ( 9 / 12 ) = ( 3 / 4 ) % ( 3 / 4 ) * ( p / 100 ) = 234 = > p = ( 234 * 4 * 10 ^ 2 ) / 3 = 78 * 4 * 10 ^ 2 = 312 * 10 ^ 2 = 31200 answer d" - }, - { - "Answer": 19.6875, - "Options": "a ) 75 % , b ) 58 % , c ) 42 % , d ) 14.5 % , e ) 19.6 %", - "Correct": "e", - "Explanation": "total umber of members = 1600 number of members that cast votes = 525 since , winning candidate received 60 percent of the votes cast number of votes for winning candidate = ( 60 / 100 ) * 525 = 315 percent of total membership that voted for winning candidate = ( 315 / 1600 ) * 100 = 19.6 % answer e" - }, - { - "Answer": 5, - "Options": "a ) 3 , b ) 5 , c ) 7 , d ) 9 , e ) none of them", - "Correct": "b", - "Explanation": "cost price = rs 490 , selling price = 465.50 . loss = rs ( 490 - 465.50 ) = rs 24.50 . loss % = [ ( 24.50 / 490 ) * 100 ] % = 5 % answer is b" - }, - { - "Answer": 1000000, - "Options": "a ) a ) 452000 , b ) b ) 562000 , c ) c ) 800000 , d ) d ) 1000000 , e ) e ) 652000", - "Correct": "d", - "Explanation": "\"3 children got = 3 * 20 % = 60 % wife got = 30 % orphan house = 5 % total = 60 + 30 + 5 = 95 % remaining = 100 - 95 = 5 % 5 % = 50000 100 % = 50000 * 100 / 5 = $ 1000000 answer is d\"" - }, - { - "Answer": 400, - "Options": "a ) $ 100 , b ) $ 200 , c ) $ 300 , d ) $ 400 , e ) $ 500", - "Correct": "d", - "Explanation": "\"let c . p . be $ x then , ( 105 % of x ) - ( 80 % of x ) = 100 or 25 % of x = 100 x / 4 = 100 x = 400 c . p . = $ 400 correct option is d\"" - }, - { - "Answer": 2, - "Options": "a ) 2 % , b ) 5 % , c ) 8 % , d ) 10 % , e ) 15 %", - "Correct": "a", - "Explanation": "net profit = 20 - 15 + ( 20 * ( - 15 ) / 100 ) = 2 % answer is a" - }, - { - "Answer": 130, - "Options": "a ) rs . 130 , b ) rs . 17 , c ) rs . 1.70 , d ) rs . 4.25 , e ) none", - "Correct": "a", - "Explanation": "answer \u2235 0.5 / 100 of a = 65 / 100 \u2234 a = rs . ( 65 / 0.5 ) = rs . 130 correct option : a" - }, - { - "Answer": 300.00000000000006, - "Options": "a ) 70 , b ) 245 , c ) 150 , d ) 300 , e ) 350", - "Correct": "d", - "Explanation": "\"since 30 % of the boys from school a study science , then 70 % of the boys from school a do not study science and since 20 % of the total number of boys are from school a , then 0.2 * 0.7 = 0.14 , or 14 % of the boys in the camp are from school a and do not study science . we are told that this number equals to 42 , so 0.14 * { total } = 42 - - > { total } = 300 . answer : d .\"" - }, - { - "Answer": 5.555555555555555, - "Options": "a ) 5.9 % , b ) 5.5 % , c ) 6 % , d ) 6.4 % , e ) 7.5 %", - "Correct": "b", - "Explanation": "\"p = ( p * 18 * r ) / 100 r = 5.5 % answer : b\"" - }, - { - "Answer": 26620, - "Options": "a ) 26630 , b ) 26640 , c ) 36620 , d ) 26620 , e ) 26820", - "Correct": "d", - "Explanation": "population after 1 st year = 20000 * 10 / 100 = 2000 = = = > 20000 + 2000 = 22000 population after 2 nd year = 22000 * 10 / 100 = 2200 = = = > 22000 + 2200 = 24200 population after 3 rd year = 24200 * 10 / 100 = 2420 = = = > 24200 + 2420 = 26620 answer : d" - }, - { - "Answer": 38.31258644536655, - "Options": "a ) 38.3 % , b ) 25 % , c ) 77 % , d ) 99 % , e ) 12 %", - "Correct": "a", - "Explanation": "\"723 - - - 277 100 - - - ? = > 38.3 % answer : a\"" - }, - { - "Answer": 8.16, - "Options": "a ) 4.05 % , b ) 4.02 % , c ) 8.16 % , d ) 3 % , e ) 2 %", - "Correct": "c", - "Explanation": "\"percentage error in calculated area = ( 4 + 4 + ( 4 \u00e3 \u2014 4 ) / 100 ) % = 8.16 % answer : c\"" - }, - { - "Answer": 8, - "Options": "a ) 8 , b ) 10 , c ) 11 , d ) 12 , e ) 13", - "Correct": "a", - "Explanation": "\"man ' s rate in still water = ( 12 - 2 ) km / hr = 10 km / hr . man ' s rate against the current = ( 10 - 2 ) km / hr = 8 km / hr . answer : a\"" - }, - { - "Answer": 5.25, - "Options": "a ) 6.25 , b ) 5.25 , c ) 6.29 , d ) 6.39 , e ) 6.13", - "Correct": "b", - "Explanation": "\"required run rate = [ 242 - ( 3.2 * 10 ) ] / 40 = 210 / 40 = 5.25 answer : b\"" - }, - { - "Answer": 10, - "Options": "a ) 9 % , b ) 8 % , c ) 10 % , d ) 10.5 % , e ) 7.5 %", - "Correct": "c", - "Explanation": "\"interest for 1 year = 2500 / 5 = 500 interest on rs 5000 p / a = 500 interest rate = 500 / 5000 * 100 = 10 % answer : c\"" - }, - { - "Answer": 8925, - "Options": "a ) 3888 , b ) 2988 , c ) 2777 , d ) 8925 , e ) 288", - "Correct": "d", - "Explanation": "principal = ( 100 * 4016.25 ) / ( 9 * 5 ) = rs . 8925 . answer : d" - }, - { - "Answer": 391.304347826087, - "Options": "a ) 391 , b ) 392 , c ) 410 , d ) 423 , e ) 445", - "Correct": "b", - "Explanation": "\"d = number of employees in december j = number of employees in january j x 1.15 = d j x 1.15 = 450 j = 450 / 1.15 j = 45,000 / 115 = 392 thus b is the correct answer .\"" - }, - { - "Answer": 60, - "Options": "a ) 28 % , b ) 41 % , c ) 60 % , d ) 72 % , e ) 78 %", - "Correct": "c", - "Explanation": "\"total population = 100 ( assume ) . 7 / 10 * 100 = 70 people from montague . 3 / 10 * 100 = 30 people from capulet . 0.2 * 70 = 14 people from montague support juliet . 0.7 * 30 = 21 people from capulet support juliet . the probability that a juliet supporter chosen at random resides in capulet is 21 / ( 14 + 21 ) = ~ 60 . answer : c\"" - }, - { - "Answer": 999.9999999999999, - "Options": "a ) 850 , b ) 950 , c ) 1025 , d ) 975 , e ) 1000", - "Correct": "e", - "Explanation": "80 % of 90 % = 72 % , 10 % 0 f 90 % = 9 % so the remaining 90 - 72 - 9 = 9 % = 90 acres or 10 % of 90 % = 9 % - - > 90 / 9 * 100 = 1000 acres answer ( e )" - }, - { - "Answer": 25, - "Options": "a ) 25 , b ) 30 , c ) 50 , d ) 55 , e ) 60", - "Correct": "a", - "Explanation": "\"i came up with ( a ) 25 think of 100 people total : from the first fact , 10 of these are women with fair hair . from the second fact , these 10 women make up 40 % of the total fair haired population . we can then make a ratio of 60 : 40 fair haired men to fair haired women . this means that ( 60 / 40 ) * 10 equals the number of fair haired men , which is 15 men with fair hair . add this 15 to the 10 women and get 25 fair haired men and women out of 100 total men and women . 25 % a\"" - }, - { - "Answer": 180, - "Options": "a ) 140 , b ) 150 , c ) 180 , d ) 200 , e ) 220", - "Correct": "c", - "Explanation": "\"explanation : ( 1 / 4 ) * ( 1 / 3 ) * ( 2 / 5 ) * x = 15 then x = 15 * 30 = 450 40 % of 450 = 180 answer : option c\"" - }, - { - "Answer": 33.333333333333314, - "Options": "a ) 20 , b ) 30 , c ) 34 , d ) 35 , e ) 33.33", - "Correct": "e", - "Explanation": "\"assume 1 oz candy cost $ 1 before . now price remain same $ 1 but weight of candy reduces to 0.75 oz new price of candy = 1 / 0.75 = 1.3333 price increase 33.33 % e\"" - }, - { - "Answer": 17000, - "Options": "a ) rs . 17037 , b ) rs . 17000 , c ) rs . 17276 , d ) rs . 170287 , e ) rs . 171881", - "Correct": "b", - "Explanation": "explanation : the simple interest for the first year is 10200 / 2 is rs . 5100 and compound interest for first year also is rs . 5100 . the compound interest for second year on rs . 5100 for one year so rate of the interest = ( 100 * 1530 ) / ( 5100 * 1 ) = 30 % p . a . so p = ( 100 * 10200 ) / ( 30 * 2 ) = rs . 17000 answer : b" - }, - { - "Answer": 57.142857142857146, - "Options": "a ) 56.14 % , b ) 57.44 % , c ) 57.14 % , d ) 56.34 % , e ) 57.87 %", - "Correct": "c", - "Explanation": "\"explanation : solution : let c . p . of each chocolate be re . 1 . then , c . p . of 77 chocolates = rs . 77 ; s . p . of 77 chocolates = rs . 121 . . ' . gain % = 44 * 100 / 77 = 57.14 % answer : c\"" - }, - { - "Answer": 1, - "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 5 , e ) 7", - "Correct": "a", - "Explanation": "\"ds = 6 us = 4 s = ? s = ( 6 - 4 ) / 2 = 1 kmph answer : a\"" - }, - { - "Answer": 72.63157894736842, - "Options": "a ) 81 , b ) 75 , c ) 72.63 , d ) 73 , e ) 76", - "Correct": "c", - "Explanation": "25 % in 100 lts is 25 . so water = 100 - 25 = 75 lts . 30 % of 90 lts = 27 . so water in 2 nd mixture = 90 - 27 = 63 lts . now total quantity = 100 + 90 = 190 lts . total water in it will be 75 + 63 = 138 lts . % of water = ( 100 * 138 ) / 190 = 72.63 answer : c" - }, - { - "Answer": 66.66666666666666, - "Options": "a ) 32.5 , b ) 35 , c ) 48.1 , d ) 65 , e ) 66.67", - "Correct": "e", - "Explanation": "\"1 ) let the price of jacket initially be $ 100 . 2 ) then it is decreased by 20 % , therefore bringing down the price to $ 80 . 3 ) again it is further discounted by 25 % , therefore bringing down the price to $ 60 . 4 ) now 60 has to be added byx % in order to equal the original price . 60 + ( x % ) 60 = 100 . solving this eq for x , we get x = 66.67 ans is e .\"" - }, - { - "Answer": 107.99999999999999, - "Options": "a ) 40 , b ) 60 , c ) 90 , d ) 120 , e ) 108", - "Correct": "e", - "Explanation": "\"cost price of 1 pound of bananas = 0.5 / 3 = 1 / 6 selling price of 1 pound of bananas = 1 / 4 profit per pound = ( 1 / 4 - 1 / 6 ) = ( 1 / 12 ) total profit is given as 9 ( 1 / 12 ) * x = 9 x = 108 answer : e\"" - }, - { - "Answer": 70.23809523809523, - "Options": "a ) 70 % , b ) 50 % , c ) 100 % , d ) 60 % , e ) 55 %", - "Correct": "a", - "Explanation": "\"cp . = rs . 100 . = > profit = rs . 320 , s . p . = rs . 420 . new c . p . = 125 % of rs . 100 = rs . 125 new s . p . = rs . 420 . profit = rs . ( 420 - 125 ) = rs . 295 . req = ( 295 / 420 * 100 ) = = > 70 % answer a\"" - }, - { - "Answer": 4032.0000000000005, - "Options": "a ) 4032 , b ) 4000 , c ) 3250 , d ) 3825 , e ) 3985", - "Correct": "a", - "Explanation": "\"ratio of investment , as investments is for different time . investment x number of units of time . ratio of investments x : y : z = 36000 : 42000 : 48000 = > 6 : 7 : 8 . x = 6 x 12 months = 72 , y = 7 x 12 = 84 , z = 8 x 8 = 64 = > 18 : 21 : 16 . ratio of investments = > x : y : z = 18 : 21 : 16 . investment ratio = profit sharing ratio . z = 13860 \u00e3 \u2014 16 / 55 = rs . 4032 . share of z in the profit is rs . 4032 . option a\"" - }, - { - "Answer": 43.99999999999999, - "Options": "a ) 20 % , b ) 25 % , c ) 30 % , d ) 33 % , e ) 44 %", - "Correct": "e", - "Explanation": "\"another method is to use the formula for 2 successive percentage changes : total = a + b + ab / 100 80 = 25 + b + 25 b / 100 b = 44 answer ( e )\"" - }, - { - "Answer": 25, - "Options": "a ) 25 % , b ) 30 % , c ) 50 % , d ) 20 % , e ) 10 %", - "Correct": "a", - "Explanation": "\"s . p . = $ 100 gain = $ 20 c . p . = 100 - 20 = 80 gain % = 20 / 80 * 100 = 25 % answer is a\"" - }, - { - "Answer": 50, - "Options": "a ) s . 90 , b ) s . 120 , c ) s . 200 , d ) s . 50 , e ) s . 290", - "Correct": "d", - "Explanation": "let the sp of the refrigerator and the mobile phone be rs . r and rs . m respectively . r = 15000 ( 1 - 5 / 100 ) = 15000 - 750 m = 8000 ( 1 + 10 / 100 ) = 8000 + 800 total sp - total cp = r + m - ( 15000 + 8000 ) = - 750 + 800 = rs . 50 as this is positive , an overall profit of rs . 50 was made . d" - }, - { - "Answer": 282, - "Options": "a ) s 282 , b ) s 216 , c ) s 220 , d ) s 210 , e ) s 217", - "Correct": "a", - "Explanation": "\"explanation : total cost of a watch = 230 + ( 500 / 100 ) = 235 . gain = 20 % = > sp = 1.2 cp = 1.2 x 235 = 282 answer : a\"" - }, - { - "Answer": 9.428571428571429, - "Options": "a ) 8.56 , b ) 9.35 , c ) 9.43 , d ) 6.56 , e ) 5.5", - "Correct": "c", - "Explanation": "\"60 % - - - 22 140 % - - - ? 60 / 140 * 22 = 9.43 answer : c\"" - }, - { - "Answer": 120, - "Options": "a ) 140 , b ) 120 , c ) 130 , d ) 110 , e ) 150", - "Correct": "b", - "Explanation": "\"let c . p . be $ 100 . then , s . p . = $ 114 let marked price be $ x . then , 95 / 100 x = 114 x = 114 / 95 = $ 120 now , s . p . = $ 120 , c . p . = $ 100 profit % = 20 % . b\"" - }, - { - "Answer": 3.684210526315789, - "Options": "a ) 6.67 , b ) 1.67 , c ) 2.67 , d ) 3.67 , e ) 4.67", - "Correct": "d", - "Explanation": "\"swim in still water at = 4.4 speed of river = 2.5 us = 4.4 - 2.5 = 1.9 distance = 7 t = 7 / 1.9 = 3.67 answer : d\"" - }, - { - "Answer": 45, - "Options": "a ) 277 , b ) 36 , c ) 45 , d ) 72 , e ) none of these", - "Correct": "c", - "Explanation": "\"? % of 360 = 162 or , ? = 162 \u00d7 100 / 360 = 45 answer c\"" - }, - { - "Answer": 0.25, - "Options": "a ) 3 / 4 , b ) 2 / 5 , c ) 4 / 5 , d ) 2 / 3 , e ) 1 / 4", - "Correct": "e", - "Explanation": "- - - - - - - - - - - - - - - - - - - - m - - - - - - w - - - - - - - - total marrried - - - - - - - - - 10 - - - - - 50 - - - - - - - - - 60 not married - - - - - 30 - - - - - 10 - - - - - - - - - 40 total - - - - - - - - - - - - - 40 - - - - - 60 - - - - - - - - 100 need married man / total man , so 10 / 40 = 1 / 4 e" - }, - { - "Answer": 12, - "Options": "a ) 12 , b ) 3 , c ) 14 , d ) 5 , e ) 6", - "Correct": "a", - "Explanation": "\"450 = ( 750 * 5 * r ) / 100 r = 12 % . answer : a\"" - }, - { - "Answer": 2.999999999999936, - "Options": "a ) rs . 7 , b ) rs . 3 , c ) rs . 8 , d ) rs . 1 , e ) rs . 4", - "Correct": "b", - "Explanation": "\"s . i . = ( 1200 * 10 * 1 ) / 100 = rs . 120 c . i . = [ 1200 * ( 1 + 5 / 100 ) 2 - 1200 ] = rs . 123 difference = ( 123 - 120 ) = rs . 3 . answer : b\"" - }, - { - "Answer": 300, - "Options": "a ) a ) 140 , b ) b ) 150 , c ) c ) 180 , d ) d ) 200 , e ) e ) 300", - "Correct": "e", - "Explanation": "\"explanation : ( 1 / 4 ) * ( 1 / 3 ) * ( 2 / 5 ) * x = 25 then x = 25 * 30 = 750 40 % of 750 = 300 answer : option e\"" - }, - { - "Answer": 55.35714285714286, - "Options": "a ) 23.4 % , b ) 44.5 % , c ) 55.3 % , d ) 57.4 % , e ) none", - "Correct": "c", - "Explanation": "\"sol . let marked price = rs . 100 . then , c . p . = rs . 56 . s . p = rs . 87 . \u00e2 \u02c6 \u00b4 gain % = [ 31 / 56 * 100 ] % = 55.3 % . answer c\"" - }, - { - "Answer": 683.9473684210525, - "Options": "a ) 643 , b ) 689 , c ) 683 , d ) 690 , e ) 693", - "Correct": "c", - "Explanation": "\"= 678 / 1.14 \u2217 1.15 = 683 = 683 answer is c\"" - }, - { - "Answer": 12600, - "Options": "a ) 11520 , b ) 12600 , c ) 15000 , d ) 13560 , e ) 12560", - "Correct": "b", - "Explanation": "winners votes = 100 - 30 = 70 % invalid votes = 100 polled votes = [ ( 100 * 5000 ) / ( 2 * 70 - 100 ) ] + 100 = 12600 answer is b" - }, - { - "Answer": 21.000000000000018, - "Options": "a ) 15 % , b ) 21 % , c ) 25 % , d ) 30 % , e ) 36 %", - "Correct": "b", - "Explanation": "\"let the radius of medium pizza be r . then the radius of large pizza is 1.1 r . the area of the medium pizza is pi * r ^ 2 the area of the large pizza is pi * ( 1.1 * r ) ^ 2 = 1.21 * pi * r ^ 2 , an increase of 21 % . the answer is b .\"" - }, - { - "Answer": 54.15999999999998, - "Options": "a ) 44 , b ) 54 , c ) 46 , d ) 47 , e ) 48", - "Correct": "b", - "Explanation": "\"- a + b + ( ( - a ) ( b ) / 100 ) = - 18 + 88 + ( - 18 * 88 ) / 100 = - 18 + 88 - 16 = 54 answer : b\"" - }, - { - "Answer": 374, - "Options": "a ) 600 , b ) 882 , c ) 374 , d ) 356 , e ) 521", - "Correct": "c", - "Explanation": "\"cost price = rs . 340 profit = 10 % of 340 = rs . 34 selling price = cost price + profit = 340 + 34 = 374 answer : c\"" - }, - { - "Answer": 450, - "Options": "a ) $ 250 , b ) $ 350 , c ) $ 450 , d ) $ 550 , e ) $ 650", - "Correct": "c", - "Explanation": "\"soln : - 9 months = 3 / 4 of year ; 6 % = 6 / 100 = 3 / 50 ; $ 10,000 ( principal ) * 3 / 50 ( interest rate ) * 3 / 4 ( time ) = $ 450 . answer : c\"" - }, - { - "Answer": 17499.999999999996, - "Options": "a ) 20029 , b ) 20000 , c ) 20289 , d ) 17500 , e ) 20026", - "Correct": "d", - "Explanation": "\"let the total worth of the stock be rs . x . the sp of 20 % of the stock = 1 / 5 * x * 1.1 = 11 x / 50 the sp of 80 % of the stock = 4 / 5 * x * 0.95 = 19 x / 25 = 38 x / 50 total sp = 11 x / 50 + 38 x / 50 = 49 x / 50 overall loss = x - 49 x / 50 = x / 50 x / 50 = 350 = > x = 17500 answer : d\"" - }, - { - "Answer": 90000, - "Options": "a ) 30000 , b ) 50000 , c ) 90000 , d ) 20000 , e ) 60000", - "Correct": "c", - "Explanation": "\"let the amount invested by q = q 60000 : q = 4 : 6 \u21d2 60000 \u00d7 6 = 4 q \u21d2 q = ( 60000 \u00d7 6 ) / 4 = 90000 answer is c .\"" - }, - { - "Answer": 8231.999999999998, - "Options": "a ) 8232 , b ) 3282 , c ) 4282 , d ) 8242 , e ) 2382", - "Correct": "a", - "Explanation": "explanation : salary = 3000 x 1.4 x 1.4 x 1.4 = 8232 answer : option a" - }, - { - "Answer": 48, - "Options": "a ) 35 % , b ) 48 % , c ) 55 % , d ) 65 % , e ) 75 %", - "Correct": "b", - "Explanation": "setting up a matrix is how i solve this one . diploma no diploma totals job of choice w / diploma job of choice w / o diploma = 10 % job of choice total = 40 % not job of choice with diploma = . 3 x not job of choice w / o diploma = . 7 x total not job of choice = x total with diploma total without diploma total citizen = 100 if 40 % of people have their job of choice , then 60 % of people do not have their job of choice . 30 % of 60 % = 18 % . we can also see that 30 % of the people have their job of choice and a diploma ( 40 % - 10 % = 30 % ) . 30 % + 18 % = 48 % . therefore 48 % of the people in country z have a diploma . ans b" - }, - { - "Answer": 1, - "Options": "a ) 0.1 % , b ) 1 % , c ) 7 % , d ) 10 % , e ) none", - "Correct": "b", - "Explanation": "\"solution gain % = ( 0.70 / 70 \u00d7 100 ) % = 1 % . answer b\"" - }, - { - "Answer": 9000, - "Options": "a ) 9000 , b ) 26699 , c ) 96000 , d ) 19000 , e ) 26711", - "Correct": "a", - "Explanation": "\"money paid in cash = rs . 1000 balance payment = ( 10000 - 1000 ) = rs . 9000 answer : a\"" - }, - { - "Answer": 973.913043478261, - "Options": "a ) 974 , b ) 1067 , c ) 1977 , d ) 1056 , e ) 1097", - "Correct": "a", - "Explanation": "\"1120 = p [ 1 + ( 5 * 3 ) / 100 ] p = 974 answer : a\"" - }, - { - "Answer": 8199.999999999998, - "Options": "a ) 7500 , b ) 3388 , c ) 2665 , d ) 8200 , e ) 2661", - "Correct": "d", - "Explanation": "\"35 % - - - - - - - - - - - l 65 % - - - - - - - - - - - w - - - - - - - - - - - - - - - - - - 30 % - - - - - - - - - - 2460 100 % - - - - - - - - - ? = > 8200 answer : d\"" - }, - { - "Answer": 6.25, - "Options": "a ) 10.6 % , b ) 3.65 % , c ) 6.25 % , d ) 8.32 % , e ) 11 %", - "Correct": "c", - "Explanation": "\"let principle = p s . i . = p t = 16 yrs rate = 100 * p / p * 16 = 25 / 4 % = 6.25 % answer is c\"" - }, - { - "Answer": 100, - "Options": "a ) 100 , b ) 150 , c ) 225 , d ) 112.5 , e ) 212.5", - "Correct": "a", - "Explanation": "\"explanation : the person borrows rs . 5000 for 2 years at 4 % p . a . simple interest simple interest that he needs to pay = prt / 100 = 5000 \u00d7 4 \u00d7 2 / 100 = 400 he also lends it at 6 % p . a for 2 years simple interest that he gets = prt / 100 = 5000 \u00d7 6 \u00d7 2 / 100 = 600 his overall gain in 2 years = rs . 600 - rs . 400 = rs . 200 his overall gain in 1 year = 200 / 2 = rs . 100 answer : option a\"" - }, - { - "Answer": 746.6666666666666, - "Options": "a ) 500 , b ) 550 , c ) 746 , d ) 700 , e ) 750", - "Correct": "c", - "Explanation": "sp * ( 75 / 100 ) = 560 sp = 7.46 * 100 = > cp = 746 answer : c" - }, - { - "Answer": 15000, - "Options": "a ) rs . 2000 , b ) rs . 10000 , c ) rs . 15000 , d ) rs . 20000 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : principal = rs . ( 100 \u00d7 5400 / 12 \u00d7 3 ) = > rs . 15,000 . answer : c\"" - }, - { - "Answer": 9.090909090909092, - "Options": "a ) 16 % , b ) 9.66 % , c ) 9.09 % , d ) 9.98 % , e ) 17 %", - "Correct": "c", - "Explanation": "\"increase = ( 5 / 55 ) * 100 = ( 1 / 11 ) * 100 = 9.09 % . c\"" - }, - { - "Answer": 5396.103896103896, - "Options": "a ) s . 5266 , b ) s . 5396 , c ) s . 5228 , d ) s . 5218 , e ) s . 52192", - "Correct": "b", - "Explanation": "\"explanation : let us assume mr . karan borrowed amount is rs . a . ( the principal ) by formula of simple interest , s . i . = prt / 100 where p = the principal , r = rate of interest as a % , t = time in years s . i . = ( p * 6 * 9 ) / 100 = 54 p / 100 amount = principal + s . i . 8310 = p + ( 54 p / 100 ) 8310 = ( 100 p + 54 p ) / 100 8310 = 154 p / 100 p = ( 8310 * 100 ) / 154 = rs . 5396.104 answer : b\"" - }, - { - "Answer": 12.5, - "Options": "a ) 12.5 % , b ) 13.5 % , c ) 14 % , d ) 15 % , e ) 16 %", - "Correct": "a", - "Explanation": "option ( b ) is correct original profit = 70,000 \u2212 42,000 \u2212 12,000 = 16 , 00070,000 \u2212 42,000 \u2212 12,000 = 16,000 if 7.14 % 7.14 % of 14 i . e . one of the machines closed throughout the year , then change in profit will be : = 1314 \u00d7 [ 70,000 \u2212 42,000 ] = 1314 \u00d7 [ 70,000 \u2212 42,000 ] = 14,000 = 14,000 thus , decrease in the profit % % = 200016000 \u00d7 100 = 200016000 \u00d7 100 = 12.5 % a" - }, - { - "Answer": 3, - "Options": "a ) 3.6 , b ) 6 , c ) 18 , d ) 3 , e ) none of these", - "Correct": "d", - "Explanation": "let rate = r % and time = r years . then , 1200 x r x r / 100 = 108 12 r 2 = 108 r 2 = 9 r = 3 . answer : d" - }, - { - "Answer": 2880, - "Options": "a ) 2880 , b ) 1800 , c ) 2700 , d ) 10800 , e ) none of these", - "Correct": "a", - "Explanation": "\"solution let the required number of bottles be x . more machines , more bottles ( direct proportion ) more minutes , more bottles ( direct proportion ) \u00e2 \u02c6 \u00b4 6 \u00e3 \u2014 1 \u00e3 \u2014 x = 16 \u00e3 \u2014 4 \u00e3 \u2014 270 \u00e2 \u2021 \u201d x = 16 x 4 x 270 / 6 = 2880 . answer a\"" - }, - { - "Answer": 1399.9999999999998, - "Options": "a ) 621 , b ) 1400 , c ) 236 , d ) 600 , e ) 211", - "Correct": "b", - "Explanation": "\"explanation : ratio of investments of a , b and c is 8000 : 10000 : 12000 = 4 : 5 : 6 and also given that , profit share of b is rs . 3500 = > 5 parts out of 15 parts is rs . 3500 now , required difference is 6 - 4 = 2 parts required difference = 2 / 5 ( 3500 ) = rs . 1400 answer : b\"" - }, - { - "Answer": 38, - "Options": "a ) 27.5 % , b ) 30 % , c ) 35 % , d ) 37.5 % , e ) 38 %", - "Correct": "e", - "Explanation": "\"assume the total price = 100 x price after 20 % markup = 120 x price after 25 % further markup = 1.25 * 120 x = 150 x price after the discount = 0.92 * 150 x = 138 x hence total profit = 38 % option e\"" - }, - { - "Answer": 12, - "Options": "a ) 0.002 % , b ) 0.02 % , c ) 0.2 % , d ) 12 % , e ) 20 %", - "Correct": "d", - "Explanation": "\"we are given that 0.06 ounces of water evaporated each day . furthermore , we know that this process happened over a 20 - day period . to calculate the total amount of water that evaporated during this time frame we need to multiply 0.06 by 20 . this gives us : 0.06 x 20 = 1.2 ounces finally , we are asked for \u201c what percent \u201d of the original amount of water evaporated during this period . to determine this percentage , we have to make sure we translate the expression correctly . we can translate it to : ( amount evaporated / original amount ) x 100 % ( 1.2 / 10 ) x 100 % ( 12 / 100 ) x 100 % = 12 % answer d\"" - }, - { - "Answer": 30, - "Options": "a ) 30 m , b ) 40 m , c ) 35 m , d ) 38 m , e ) 50 m", - "Correct": "a", - "Explanation": "30 % of total fdi given to gujarat is $ 90 m . so , 100 % is $ 300 m . 20 % of 300 m = 60 m . 50 % of 60 m = 30 m . answer : a" - }, - { - "Answer": 143.74999999999997, - "Options": "a ) 152.5 , b ) 143.75 , c ) 155.5 , d ) 165.5 , e ) 117.5", - "Correct": "b", - "Explanation": "for this it is easiest to use simple numbers . let ' s assume that elaine ' s annual earnings last year were $ 100 . she would ' ve spent $ 20 of this on rent . this year she earned 15 % more , or $ 115 . she would ' ve spent 25 % of this on rent , or $ 28.75 do $ 34.5 / $ 20 this will give you 143.75 % b is the correct answer ." - }, - { - "Answer": 1000, - "Options": "a ) $ 700 , b ) $ 750 , c ) $ 800 , d ) $ 1000 , e ) $ 900", - "Correct": "d", - "Explanation": "- > 250 / 5,000 = 5 % and 20,000 * 5 % = 1000 . thus , d is the answer ." - }, - { - "Answer": 225, - "Options": "a ) 165 , b ) 170 , c ) 175 , d ) 180 , e ) 225", - "Correct": "e", - "Explanation": "\"assume that face value = rs . 100 as it is not given to earn rs . 8 , money invested = rs . 100 to earn rs . 18 , money invested = 100 \u00d7 18 / 8 = rs . 225 ie , market value of the stock = rs . 175 answer is e .\"" - }, - { - "Answer": 0.6666666666666666, - "Options": "a ) 1 / 3 , b ) 2 / 3 , c ) 2 / 5 , d ) 3 / 5 , e ) 4 / 5", - "Correct": "b", - "Explanation": "\"explanation : by the rule of alligation , we have : so , ratio of 1 st and 2 nd quantities = 7 : 14 = 1 : 2 required quantity replaced = 2 / 3 . answer is b\"" - }, - { - "Answer": 24.444444444444443, - "Options": "a ) 22 % , b ) 23 % , c ) 24.4 % , d ) 25 % , e ) 34 %", - "Correct": "c", - "Explanation": "\"since 10 % of the customers who sample the candyare notcaught , then 90 % of the customers who sample the candyarecaught : { % of customers who sample candy } * 0.90 = 0.22 ; { % of customers who sample candy } = 0.25 . answer : c .\"" - }, - { - "Answer": 3600, - "Options": "a ) $ 2400 , b ) $ 3200 , c ) $ 6000 , d ) $ 3600 , e ) $ 9600", - "Correct": "d", - "Explanation": "\"let x be the monthly salary 15 % of 1 / 5 * x = 108 x = 3600 answer d\"" - }, - { - "Answer": 120, - "Options": "a ) 100 , b ) 110 , c ) 120 , d ) 210 , e ) 200", - "Correct": "c", - "Explanation": "c 120 to pass the exam ravish needs 50 + 10 = 60 marks . = > ( 60 / 50 ) * 100 = 120" - }, - { - "Answer": 4.040000000000006, - "Options": "a ) 5.04 % , b ) 4.04 % , c ) 3.04 % , d ) 6.04 % , e ) 7.04 %", - "Correct": "b", - "Explanation": "\"let d initial price be 100 36 % rise now price = 136 / 100 * 100 = 136 10 % discount then price = 136 * 90 / 100 = 122.4 15 % discount then price = 122.4 * 85 / 100 = 104.04 so gain = 104.04 - 100 = 4.04 gain % = gain * 100 / cp = = > 4.04 * 100 / 100 = 4.04 % answer : b\"" - }, - { - "Answer": 10, - "Options": "a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", - "Correct": "c", - "Explanation": "\"let c . p . of each chocolate be re . 1 . then , c . p . of 150 chocolates = rs . 150 ; s . p . of 150 chocolates = rs . 165 . gain % = 15 / 150 * 100 = 10 % answer : c\"" - }, - { - "Answer": 5600, - "Options": "a ) 5000 , b ) 5600 , c ) 5400 , d ) 4500 , e ) none of these", - "Correct": "b", - "Explanation": "\"let the number be a given , 15 / 100 * 30 / 100 * 50 / 100 * a = 126 = > 3 / 20 * 3 / 10 * 1 / 2 * a = 126 = > a = 10 * 20 * 10 * 2 = 5600 . answer : b\"" - }, - { - "Answer": 17, - "Options": "a ) 17 % increase , b ) 44 % decrease , c ) 60 % increase , d ) 66 % increase , e ) 66 % decrease", - "Correct": "a", - "Explanation": "\"if n items are sold for $ p each , revenue is $ np . if we reduce the price by 35 % , the new price is 0.65 p . if we increase the number sold by 80 % , the new number sold is 1.8 n . so the new revenue is ( 0.65 p ) ( 1.8 n ) = 1.17 np , which is 1.17 times the old revenue , so is 17 % greater . answer : a\"" - }, - { - "Answer": 4.04, - "Options": "a ) 4.04 % , b ) 4.00 % , c ) 4.14 % , d ) 5.04 % , e ) none", - "Correct": "a", - "Explanation": "\"100 cm is read as 102 cm . a 1 = ( 100 x 100 ) cm 2 and a 2 ( 102 x 102 ) cm 2 . ( a 2 - a 1 ) = [ ( 102 ) 2 - ( 100 ) 2 ] = ( 102 + 100 ) x ( 102 - 100 ) = 404 cm 2 . percentage error = 404 x 100 % = 4.04 % 100 x 100 a\"" - }, - { - "Answer": 933.3333333333334, - "Options": "a ) 933 , b ) 1067 , c ) 1977 , d ) 1056 , e ) 1097", - "Correct": "a", - "Explanation": "\"1120 = p [ 1 + ( 5 * 4 ) / 100 ] p = 933 answer : a\"" - }, - { - "Answer": 900, - "Options": "a ) 500 , b ) 600 , c ) 700 , d ) 800 , e ) 900", - "Correct": "e", - "Explanation": "\"difference in s . i . = p \u00d7 t / 100 ( r 1 \u2212 r 2 ) \u21d2 81 = p \u00d7 3 x 3 / 100 ( \u2235 r 1 - r 2 = 2 ) \u21d2 p = 81 \u00d7 100 / 3 x 3 = 900 answer e\"" - }, - { - "Answer": 1.2000000000000002, - "Options": "a ) $ . 90 , b ) $ 1.00 , c ) $ 1.20 , d ) $ 1.50 , e ) $ 1.60", - "Correct": "c", - "Explanation": "u dont need to go through all this what u have with u is 100 p + 200 c = $ 6.00 just divide the equation by 5 and you will get what u are looking for 20 p + 40 c = $ 1.20 therefore oa is c" - }, - { - "Answer": 5, - "Options": "a ) 5 % , b ) 4 % , c ) 6 % , d ) 8 % , e ) 7 %", - "Correct": "a", - "Explanation": "c . p = rs 490 s . p = rs 465.50 loss = c . p - s . p = 490 - 465.50 = rs 24.50 loss % = ( loss * 100 ) / c . p % = ( 24.50 * 100 ) / 490 % = 5 % answer a 5 %" - }, - { - "Answer": 37.5, - "Options": "a ) 24 % , b ) 25 % , c ) 30 % , d ) 37.5 % , e ) 40 %", - "Correct": "d", - "Explanation": "let b be the discount on biographies and m be the discount on mysteries so . , b + m = 0.435 - - - - - ( 1 ) and ( 20 * 5 + 12 * 3 ) - ( 20 * 5 * ( 1 - b ) + 12 * 3 * ( 1 - m ) ) = 19 - - > 100 ( 1 - ( 1 - b ) ) + 36 ( 1 - ( 1 - m ) = 19 100 b + 36 m = 19 - - - - - - ( 2 ) solving 12 . , we get m = 0.375 = 37.5 % d" - }, - { - "Answer": 480, - "Options": "a ) rs . 488 , b ) rs . 480 , c ) rs . 482 , d ) rs . 487 , e ) rs . 481", - "Correct": "b", - "Explanation": "\"sp = 800 profit = 25 % cp = ( sp ) * [ 100 / ( 100 + p ) ] = 800 * [ 100 / 125 ] = 640 loss = 25 % = 25 % of 640 = rs . 160 sp = cp - loss = 640 - 160 = rs . 480 answer : b\"" - }, - { - "Answer": 44.999994375000696, - "Options": "a ) 45 , b ) 36 , c ) 40 , d ) 50 , e ) 48", - "Correct": "a", - "Explanation": "\"production cost per article : $ 60 * ( 100 % - 20 % ) / 20 = $ 2.40 required production costs for a loss of 20 % : $ 90 * ( 100 % + 20 % ) = $ 108 number of articles to be sold for $ 108 to incur a 20 % loss : $ 108 / $ 2.40 = 45 thus , solution a is correct .\"" - }, - { - "Answer": 6450.000000000001, - "Options": "a ) 6150 , b ) 6250 , c ) 6350 , d ) 6450 , e ) 6550", - "Correct": "d", - "Explanation": "\"let x be the total number of votes . 0.31 x + 2451 = 0.69 x 0.38 x = 2451 x = 2451 / 0.38 = 6450 the answer is d .\"" - }, - { - "Answer": 100, - "Options": "a ) 100 , b ) 120 , c ) 250 , d ) 200 , e ) 160", - "Correct": "a", - "Explanation": "\"then , 10 % of x = 10 ( 10 / 100 ) x = 10 x = ( 10 * 100 * ) / 10 = 100 answer is a\"" - }, - { - "Answer": 2750, - "Options": "a ) $ 2,750 , b ) $ 5,500 , c ) $ 11,000 , d ) $ 22,000 , e ) $ 44,000", - "Correct": "a", - "Explanation": "\"si for 1 st year = 550 / 2 = 275 275 + 275 + si on ( 275 ) = 605 = = > si on 275 = 55 = = > si on 275 = 275 * r * 1 / 100 = 55 r = 20 % now using si for 2 years on t / 2 of the money ( t / 2 ) * 20 * 2 / 100 = 550 t = 550 * 5 = 2750 answer : a\"" - }, - { - "Answer": 10, - "Options": "a ) 5 kg , b ) 10 kg , c ) 15 kg , d ) 20 kg , e ) 25 kg", - "Correct": "b", - "Explanation": "let the original quantity be x kg vanaspati ghee in x kg = 40 / 100 * x = 2 x / 5 kg ( 2 x / 5 ) / ( x + 10 ) = 20 / 100 2 x / ( 5 x + 50 ) = 1 / 5 5 x = 50 x = 10 kg answer is b" - }, - { - "Answer": 0.6000000000000001, - "Options": "a ) 1 / 35 , b ) 1 / 5 , c ) 2 / 3 , d ) 3 / 5 , e ) 4 / 5", - "Correct": "d", - "Explanation": "\"35 % is 10 % - points above 25 % and 15 % - points below 50 % . thus the ratio of 25 % - solution to 50 % - solution is 3 : 2 . 3 / 5 of the original paint was replaced . the answer is d .\"" - }, - { - "Answer": 23, - "Options": "a ) 20 % , b ) 26 % , c ) 42 % , d ) 27 % , e ) 23 %", - "Correct": "e", - "Explanation": "sp 2 = 2 / 3 sp 1 cp = 100 sp 2 = 82 2 / 3 sp 1 = 82 sp 1 = 123 100 - - - 23 = > 23 % answer : e" - }, - { - "Answer": 384, - "Options": "a ) s . 429 , b ) s . 480 , c ) s . 429 , d ) s . 128 , e ) s . 384", - "Correct": "e", - "Explanation": "\"sp = 800 profit = 25 % cp = ( sp ) * [ 100 / ( 100 + p ) ] = 800 * [ 100 / 125 ] = 640 loss = 40 % = 40 % of 640 = rs . 256 sp = cp - loss = 640 - 256 = rs . 384 answer : e\"" - }, - { - "Answer": 20, - "Options": "a ) 20 liters , b ) 25 liters , c ) 30 liters , d ) 15 liters , e ) 18 liters", - "Correct": "a", - "Explanation": "quantity of water in 20 liters = 10 % of 20 liters = 2 liters let x liters of pure milk be added . then , 2 / ( 20 + x ) = 5 / 100 5 x = 100 x = 20 liters answer is a" - }, - { - "Answer": 20000, - "Options": "a ) rs . 2000 , b ) rs . 10000 , c ) rs . 15000 , d ) rs . 20000 , e ) none of these", - "Correct": "d", - "Explanation": "explanation : principal = rs . ( 100 \u00d7 7200 / 12 \u00d7 3 ) = > rs . 20,000 . answer : d" - }, - { - "Answer": 545.1327433628319, - "Options": "a ) 545 , b ) 334 , c ) 555 , d ) 664 , e ) 5598", - "Correct": "a", - "Explanation": "\"110 % of s . p . = 616 s . p . = ( 616 * 100 ) / 110 = rs . 560 c . p = ( 110 * 560 ) / 113 = rs . 545 answer : option a\"" - }, - { - "Answer": 25, - "Options": "a ) 25 , b ) 28 , c ) 30 , d ) 32 , e ) 34", - "Correct": "a", - "Explanation": "\"let c . p . be rs . 100 . then , s . p . = rs . 120 let marked price be rs . x . then , 96 / 100 x = 120 x = 12000 / 96 = rs . 125 now , s . p . = rs . 125 , c . p . = rs . 100 profit % = 25 % . answer : a\"" - }, - { - "Answer": 22.499999999999986, - "Options": "a ) \u2212 5 % , b ) 5 % , c ) 15 % , d ) 20 % , e ) 22.5 %", - "Correct": "e", - "Explanation": "\"the actual answer is obtained by multiplying 175 % by 70 % and subtracting 100 % from this total . that is : 175 % \u00d7 70 % = 122.5 % ; 122.5 % \u2212 100 % = 122.5 % . answer : e\"" - }, - { - "Answer": 30, - "Options": "a ) 72 , b ) 27 , c ) 40 , d ) 30 , e ) 20", - "Correct": "d", - "Explanation": "\"900 * ( 30 / 100 ) = 270 - - - - 9 ? - - - - 1 = > rs . 30 answer : d\"" - }, - { - "Answer": 20, - "Options": "a ) 10 % , b ) 20 % , c ) 25 % , d ) 30 % , e ) 50 %", - "Correct": "b", - "Explanation": "si = simple interest = a - p = 1000 - 500 = $ 500 r = 100 si / pt = 100 * 500 / 500 * 5 = 20 % answer is b" - }, - { - "Answer": 15, - "Options": "a ) rs . 12 , b ) rs . 18 , c ) rs . 15 , d ) rs . 21 , e ) rs . 25", - "Correct": "c", - "Explanation": "\"explanation : face value of each share = rs . 20 dividend per share = 9 % of 20 = 9 \u00d7 20 / 100 = 9 / 5 he needs to have an interest of 12 % on his money ie , money paid for a share 9 \u00d7 12 / 100 = 9 / 5 money paid for a share = 9 / 5 \u00d7 100 / 12 = 15 ie , market value of the share = rs . 15 answer : option c\"" - }, - { - "Answer": 331.2, - "Options": "a ) 338 , b ) 277 , c ) 331.2 , d ) 882 , e ) 212", - "Correct": "c", - "Explanation": "\"400 * ( 90 / 100 ) * ( 92 / 100 ) = 331.2 answer : c\"" - }, - { - "Answer": 20, - "Options": "a ) 19 , b ) 20 , c ) 21 , d ) 22 , e ) 23", - "Correct": "b", - "Explanation": "if q complete x kilometers , then p completes 1.25 x kilometers . x + 1.25 x = 36 2.25 x = 36 x = 16 then p will have have walked 1.25 * 16 = 20 km . the answer is b ." - }, - { - "Answer": 5, - "Options": "a ) 3 , b ) 4 , c ) 6 , d ) 9 , e ) 5", - "Correct": "e", - "Explanation": "investments of x , y and z respectively are rs . 20000 , rs . 25000 and rs . 30000 let investment period of z be x months . ratio of annual investments of x , y and z is ( 20000 * 12 ) : ( 25000 * 12 ) : ( 30000 * x ) = 240 : 300 : 30 x = 8 : 10 : x the share of z in the annual profit of rs . 50000 is rs . 14000 . = > [ x / ( 18 + x ) ] 50000 = 14000 = > [ x / ( 18 + x ) ] 25 = 7 = > 25 x = 7 x + ( 18 * 7 ) = > x = 7 months . z joined the business after ( 12 - 7 ) months . i . e . , 5 months . answer : e" - }, - { - "Answer": 36.89, - "Options": "a ) 6.64 % , b ) 36.89 % , c ) 15.64 % , d ) 26.64 % , e ) 10.64 %", - "Correct": "b", - "Explanation": "\"percentage error in calculated area = ( 17 + 17 + ( 17 \u00e3 \u2014 17 ) / 100 ) % = 36.89 % answer : b\"" - }, - { - "Answer": 67.21387283236994, - "Options": "a ) 40 % , b ) 55 % , c ) 57 % , d ) 60 % , e ) 67.2 %", - "Correct": "e", - "Explanation": "total number of votes polled = ( 1036 + 4636 + 11628 ) = 17300 so , required percentage = 11628 / 17300 * 100 = 67.2 % e" - }, - { - "Answer": 5253, - "Options": "a ) 3377 , b ) 2678 , c ) 5460 , d ) 1976 , e ) 5253", - "Correct": "e", - "Explanation": "\"5000 * 102 / 100 * 103 / 100 = > 5253 answer : e\"" - }, - { - "Answer": 16, - "Options": "a ) 16 , b ) 20 , c ) 17 , d ) 12 , e ) 18", - "Correct": "a", - "Explanation": "\"let 0.25 % of x = 0.04 . then , 0.25 * x / 100 = 0.04 x = [ ( 0.04 * 100 ) / 0.25 ] = 16 . answer is a .\"" - }, - { - "Answer": 5.75, - "Options": "a ) 6 , b ) 6.25 , c ) 5.75 , d ) 7.5 , e ) 8", - "Correct": "c", - "Explanation": "\"required run rate = 262 - ( 3.2 x 10 ) = 230 = 5.75 40 40 c\"" - }, - { - "Answer": 96, - "Options": "a ) 80 % , b ) 105 % , c ) 96 % , d ) 124.2 % , e ) 138 %", - "Correct": "c", - "Explanation": "\"0,096 r = x / 100 * 0.1 r answer c\"" - }, - { - "Answer": 48, - "Options": "a ) 45 hours , b ) 47 hours , c ) 48 hours , d ) 50 hours , e ) none", - "Correct": "c", - "Explanation": "explanation : basic rate per hour = rs . ( 20 / 40 ) = rs . 1 / 2 overtime per hour = 125 % of rs . 1 / 2 = 125 / 100 \u00d7 1 / 2 = rs . 5 / 8 suppose he worked x hours overtime . then , 20 + 5 / 8 x = 25 or 5 / 8 x = 5 x = 5 \u00d7 8 / 5 = 8 hours so he worked in all for ( 40 + 8 ) hours = 48 hours . correct option : c" - }, - { - "Answer": 70, - "Options": "a ) 40 % , b ) 50 % , c ) 60 % , d ) 70 % , e ) 80 %", - "Correct": "d", - "Explanation": "science majors make up 0.4 of the class . 60 % of the class are women and 0.2 * 0.6 = 0.12 of the class are female science majors . then 0.28 of the class are male science majors . 0.4 x = 0.28 x = 0.7 = 70 % the answer is d ." - }, - { - "Answer": 11.11111111111111, - "Options": "a ) 5 % , b ) 11 % , c ) 13 % , d ) 21 % , e ) 19 %", - "Correct": "b", - "Explanation": "\"let s . p . = $ 100 c . p . = $ 90 profit = $ 10 profit % = 10 / 90 * 100 = 25 / 6 = 11 % approximately answer is b\"" - }, - { - "Answer": 7000, - "Options": "a ) 2999 , b ) 2778 , c ) 7000 , d ) 2889 , e ) 6612", - "Correct": "c", - "Explanation": "\"x * 12 : 2 x * 6 : 3 x * 4 1 : 1 : 1 1 / 3 * 21000 = 7000 answer : c\"" - }, - { - "Answer": 40, - "Options": "a ) 30 % , b ) 35 % , c ) 40 % , d ) 45 % , e ) 50 %", - "Correct": "c", - "Explanation": "\"the number of silver cars is 0.2 * 40 + 0.5 * 80 = 48 the percentage of cars which are silver is 48 / 120 = 40 % the answer is c .\"" - }, - { - "Answer": 8, - "Options": "a ) 2 , b ) 5 , c ) 8 , d ) 15 , e ) 25", - "Correct": "c", - "Explanation": "selling price is 48 cents / lb for a 20 % profit , cost price should be 40 cents / lb ( cp * 6 / 5 = 48 ) basically , you need to mix 38 cents / lb ( salt 1 ) with 50 cents / lb ( salt 2 ) to get a mixture costing 40 cents / lb ( salt avg ) weight of salt 1 / weight of salt 2 = ( salt 2 - saltavg ) / ( saltavg - salt 1 ) = ( 50 - 40 ) / ( 40 - 38 ) = 5 / 1 we know that weight of salt 1 is 40 lbs . weight of salt 2 must be 8 lbs . answer ( c )" - }, - { - "Answer": 200, - "Options": "a ) 127 , b ) 688 , c ) 200 , d ) 121 , e ) 123", - "Correct": "c", - "Explanation": "\"let c . p . be rs . x . then , 5 % of x = 350 - 340 = 10 x / 20 = 10 = > x = 200 answer : c\"" - }, - { - "Answer": 207, - "Options": "a ) 198 , b ) 200 , c ) 204 , d ) 207 , e ) 210", - "Correct": "d", - "Explanation": "\"sp = 1.15 * 180 = 207 answer : d\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 10 % , b ) 33 1 / 3 % , c ) 40 % , d ) 50 % , e ) 66 2 / 3 %", - "Correct": "b", - "Explanation": "\"assuming the weight of the mixture to be 100 g * * , then the weight of ryegrass in the mixture would be 30 g . also , assume the weight mixture x used in the mixture is xg , then the weight of mixture y used in the mixture would be ( 100 - x ) g . so we can now equate the parts of the ryegrass in the mixture as : 0.4 x + 0.25 ( 100 - x ) = 30 0.4 x + 25 - 0.25 x = 30 0.15 x = 5 x = 5 / 0.15 = 500 / 15 = 100 / 3 so the weight of mixture x as a percentage of the weight of the mixture = ( weight of x / weight of mixture ) * 100 % = ( 100 / 3 ) / 100 * 100 % = 33 % answer : b\"" - }, - { - "Answer": 26, - "Options": "a ) 8 % , b ) 14 % , c ) 26 % , d ) 15 % , e ) 17 %", - "Correct": "c", - "Explanation": "\"let the price be 100 . the price becomes 140 after a 40 % markup . now a discount of 10 % on 126 . profit = 126 - 100 26 % answer c\"" - }, - { - "Answer": 16200, - "Options": "a ) $ 16,200 , b ) $ 5,600 , c ) $ 8,100 , d ) $ 15,000 , e ) $ 22,500", - "Correct": "a", - "Explanation": "\"x = 8 % 112 / x years = 112 / 8 = 14 years now , money triples every 14 years therefore , in 14 yrs , if $ 1800 triples to $ 5400 , in 28 years , it will again triple to $ 5400 * 3 = $ 16,200 answer a\"" - }, - { - "Answer": 30, - "Options": "a ) 28.5 , b ) 27.675 , c ) 30 , d ) data inadequate , e ) none of these", - "Correct": "c", - "Explanation": "\"giving no discount to customer implies selling the product on printed price . suppose the cost price of the article is 100 . then printed price = 100 \u00d7 ( 100 + 23.5 ) / ( 100 \u2212 5 ) = 100 \u00d7 247 / 190 = 130 hence , required % profit = 130 \u2013 100 = 30 % answer c\"" - }, - { - "Answer": 415, - "Options": "a ) rs . 200 , b ) rs . 350 , c ) rs . 275 , d ) rs . 415 , e ) none of these", - "Correct": "d", - "Explanation": "\"average would be : 350 = ( 285 + x ) / 2 on solving , x = 415 . answer : d\"" - }, - { - "Answer": 8.42, - "Options": "a ) 6.25 , b ) 8.42 , c ) 8.3 , d ) 8.1 , e ) 6.21", - "Correct": "b", - "Explanation": "\"required run rate = [ 282 - ( 4.2 * 7 ) ] / 30 = 252.60 / 40 = 8.42 answer : b\"" - }, - { - "Answer": 250, - "Options": "a ) 200 , b ) 210 , c ) 250 , d ) 190 , e ) 220", - "Correct": "c", - "Explanation": "explanation final number = initial number + 25 % ( original number ) = 200 + 25 % ( 200 ) = 200 + 50 = 250 . answer c" - }, - { - "Answer": 36, - "Options": "a ) 12 , b ) 18 , c ) 24 , d ) 30 , e ) 36", - "Correct": "e", - "Explanation": "\"1 weaver can weave 1 mat in 4 days . 12 weavers can weave 12 mats in 4 days . 12 weavers can weave 36 mats in 12 days . the answer is e .\"" - }, - { - "Answer": 17.4, - "Options": "a ) 18 , b ) 91 , c ) 11 , d ) 17.4 , e ) 12", - "Correct": "d", - "Explanation": "\"( 60 / 100 ) * 50 \u2013 ( 42 / 100 ) * 30 30 - 12.6 = 17.4 answer : d\"" - }, - { - "Answer": 4, - "Options": "a ) 4 , b ) 6 , c ) 7.2 , d ) 7.8 , e ) 9", - "Correct": "a", - "Explanation": "answer is a . x / x + 36 = 1 / 5 x = 9 13 - 9 = 4" - }, - { - "Answer": 242, - "Options": "a ) 100 , b ) 120 , c ) 200 , d ) 242 , e ) 250", - "Correct": "d", - "Explanation": "\"p = 220 r = 10 % required population of town = p * ( 1 + r / 100 ) ^ t = 220 * ( 1 + 10 / 100 ) = 220 * ( 11 / 10 ) = 242 answer is d\"" - }, - { - "Answer": 2520, - "Options": "a ) 2200 , b ) 2520 , c ) 2600 , d ) 3354 , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : let p . w . be rs . x . then , s . i . on rs . x at 16 % for 9 months = rs . 270 . x \u00e3 \u2014 16 \u00e3 \u2014 ( 9 / 12 ) \u00e3 \u2014 ( 1 / 100 ) = 270 or x = 2250 . p . w . = rs . 2250 sum due = p . w . + t . d . = rs . ( 2250 270 ) = rs . 2520 answer : b\"" - }, - { - "Answer": 150, - "Options": "a ) 80 , b ) 150 , c ) 75 , d ) 90 , e ) none of these", - "Correct": "b", - "Explanation": "\"let the number be x . then 40 % of 3 / 5 of x = 36 40 / 100 * 3 / 5 * x = 36 x = ( 36 * 50 / 12 ) = 150 required number = 150 . correct option : b\"" - }, - { - "Answer": 27.325000000000003, - "Options": "a ) 29.33 % , b ) 27.33 % , c ) 17.33 % , d ) 27.99 % , e ) 29.33 %", - "Correct": "b", - "Explanation": "let rs . 100 be initial salary . salary after 1 st decrease , 5 % = 95 salary after 2 nd decrease , 10 % = 85.5 i . e . reduced by 10 percent of 95 salary after 3 rd decrease , 15 % = 72.675 i . e . reduced by 15 percent of 85.5 so if its decreased in single shot = i = ( ( b - a ) / b ) * 100 = 27.33 % answer : b" - }, - { - "Answer": 14.999999999999991, - "Options": "a ) 7 % , b ) 10 % , c ) 11 % , d ) 12 % , e ) 15 %", - "Correct": "e", - "Explanation": "\"let x be the discount on pony jeans . then 0.22 - x is the discount on fox jeans . 3 ( 0.22 - x ) ( 15 ) + 2 x ( 18 ) = 8.55 9.9 - 45 x + 36 x = 8.55 9 x = 1.35 x = 0.15 the answer is e .\"" - }, - { - "Answer": 567, - "Options": "a ) $ 900 , b ) $ 810 , c ) $ 915 , d ) $ 715 , e ) $ 567", - "Correct": "e", - "Explanation": "\"p = $ 700 r = 10 % t = 2 years machine value after 2 years = p [ ( 1 - r / 100 ) ^ t ] = 700 * 9 / 10 * 9 / 10 = $ 567 answer is e\"" - }, - { - "Answer": 75, - "Options": "a ) 16 % , b ) 25 % , c ) 32 % , d ) 75 % , e ) 52 %", - "Correct": "d", - "Explanation": "\"total employed people 96 % , out of which 24 are employed males , hence 72 % are employed females . ( employed females ) / ( total employed people ) = 72 / 96 = 3 / 4 = 75 % answer : d .\"" - }, - { - "Answer": 150, - "Options": "a ) 200 , b ) 160 , c ) 100 , d ) 65 , e ) 150", - "Correct": "e", - "Explanation": "( 45 / 100 ) z = ( 90 / 100 ) y and y = ( 75 / 100 ) x i . e . y = ( 3 / 4 ) x i . e . ( 45 / 100 ) z = ( 90 / 100 ) * ( 3 / 4 ) x i . e . z = ( 90 * 3 ) x / ( 45 * 4 ) i . e . z = ( 1.5 ) x = ( 150 / 100 ) x i . e . z is 150 % of x answer : option e" - }, - { - "Answer": 4600, - "Options": "a ) 3500 , b ) 4600 , c ) 5400 , d ) 4800 , e ) none of these", - "Correct": "b", - "Explanation": "the amount a gets for managing = 12.5 % of rs . 8800 = 1100 remaining profit = 8800 \u2013 1100 = 7700 this is to be divided in the ratio 5 : 6 . share of a = 5 / 11 of 7700 = 3500 \u21d2 total share of a = 3500 + 1100 = 4600 . answer b" - }, - { - "Answer": 3600, - "Options": "a ) 648 , b ) 1800 , c ) 2700 , d ) 10800 , e ) 3600", - "Correct": "e", - "Explanation": "\"solution let the required number of bottles be x . more machines , more bottles ( direct proportion ) more minutes , more bottles ( direct proportion ) \u00e2 \u02c6 \u00b4 6 \u00e3 \u2014 1 \u00e3 \u2014 x = 20 \u00e3 \u2014 4 \u00e3 \u2014 270 \u00e2 \u2021 \u201d x = 20 x 4 x 270 / 6 = 3600 . answer e\"" - }, - { - "Answer": 10815.834432633617, - "Options": "a ) $ 10079.44 , b ) t = $ 10815.83 , c ) $ 12652.61 , d ) $ 14232.14 , e ) $ 20598.11", - "Correct": "b", - "Explanation": "\"ps . i guess one can use simple interest to solve cause the answer choices are quite spread between you can easily arrive at something near 8 % hence b the answer\"" - }, - { - "Answer": 229.99999999999997, - "Options": "a ) 210 , b ) 215 , c ) 212 , d ) 230 , e ) 320", - "Correct": "d", - "Explanation": "\"let the market price of each pen be $ 1 then , cost price of 120 pens = $ 36 selling price of 120 pens = 99 % of $ 120 = $ 118.80 profit % = ( ( 82.80 * 100 ) / 36 ) % = 230 % answer d\"" - }, - { - "Answer": 14.117647058823536, - "Options": "a ) 14.11 , b ) 19.75 , c ) 20.75 , d ) 21.75 , e ) 22.75", - "Correct": "a", - "Explanation": "\"60 * 84 / 100 = 50.40 lit milk that is 9.60 lit water let x lit water will be added then ( 60 + x ) * 68 / 100 = 50.40 so x = 14.11 answer : a\"" - }, - { - "Answer": 880, - "Options": "a ) 880 , b ) 1450 , c ) 1600 , d ) 1800 , e ) none", - "Correct": "a", - "Explanation": "\"sol . sum = s . i . * t . d . / ( s . i ) - ( t . d . ) = 88 * 80 / ( 88 - 80 ) = rs . 880 . answer a\"" - }, - { - "Answer": 5099.999999999999, - "Options": "a ) rs . 5000 , b ) rs . 5100 , c ) rs . 5800 , d ) rs . 6000 , e ) rs . 6200", - "Correct": "b", - "Explanation": "p ( r / 100 ) ^ 2 = c . i - s . i p ( 10 / 100 ) ^ 2 = 51 5100 answer : b" - }, - { - "Answer": 740, - "Options": "a ) a ) 540 , b ) b ) 400 , c ) c ) 700 , d ) d ) 740 , e ) e ) 840", - "Correct": "d", - "Explanation": "\"let the number of students appeared be x then , 65 % of x = 481 65 x / 100 = 481 x = 481 * 100 / 65 = 740 answer is d\"" - }, - { - "Answer": 630, - "Options": "a ) 636 , b ) 631 , c ) 633 , d ) 610 , e ) 630", - "Correct": "e", - "Explanation": "lcm of 9 , 10 , 14 and 18 is 630 lcm = 630 answer : e" - }, - { - "Answer": 48, - "Options": "a ) 48 , b ) 180 / 7 , c ) 50.4 , d ) 60 , e ) 90", - "Correct": "a", - "Explanation": "75 % of area of the floor = 4 * 9 square feet = 36 square feet i . e . 100 % area of floor = ( 36 / 75 ) * 100 = 48 square feet answer : option a" - }, - { - "Answer": 0.7704918032786885, - "Options": "a ) 5 / 16 , b ) 1 / 3 , c ) 9 / 20 , d ) 47 / 61 , e ) 5 / 7", - "Correct": "d", - "Explanation": "\"lets take total employees are 100 . given that , total women = 61 and total married = 60 . total men = 100 - 61 = 39 and single men = 2 / 3 * 39 = 26 . married men = total men - single men = 39 - 26 = 13 . married women = total married - married men = 60 - 13 = 47 . fraction of women are married = married women / total women = 47 / 61 = 5 / 7 . ans d\"" - }, - { - "Answer": 5.5, - "Options": "a ) 6.25 , b ) 6.22 , c ) 5.5 , d ) 6.39 , e ) 6.13", - "Correct": "c", - "Explanation": "\"required run rate = [ 252 - ( 3.2 * 10 ) ] / 40 = 220 / 40 = 5.5 answer : c\"" - }, - { - "Answer": 112.5, - "Options": "a ) 122.5 , b ) 142.5 , c ) 162.5 , d ) 182.5 , e ) 112.5", - "Correct": "e", - "Explanation": "\"cp = 85.50 sp = 85.5 * ( 125 / 100 ) = 106.875 mp * ( 95 / 100 ) = 106.875 mp = 112.5 answer : e\"" - }, - { - "Answer": 3307.5, - "Options": "a ) 2554.0 , b ) 3387.0 , c ) 2503.0 , d ) 3307.5 , e ) 16537.11", - "Correct": "d", - "Explanation": "\"p = rs . 3000 ; r = 10 % p . a . = 5 % per half - year ; t = 1 year = 2 half - year amount = [ 3000 * ( 1 + 5 / 100 ) 2 ] = ( 3000 * 21 / 20 * 21 / 20 ) = rs . 3307.50 answer : d\"" - }, - { - "Answer": 12, - "Options": "a ) 13 , b ) 9 , c ) 11 , d ) 12 , e ) 10", - "Correct": "d", - "Explanation": "explanation : clue : firstly we need to calculate the si with prinical 1000 , time 2 years and rate 12 % , it will be rs . 240 then we can get the time as time = ( 100 * 240 ) / ( 200 * 10 ) = 12 option d" - }, - { - "Answer": 2560, - "Options": "a ) $ 2400 , b ) $ 2464 , c ) $ 2560 , d ) $ 2732 , e ) $ 2800", - "Correct": "c", - "Explanation": "\"1.4 x = 2240 x = 2240 / 1.4 so , 1.6 x = 2240 * 1.6 / 1.4 = 2560 answer : - c\"" - }, - { - "Answer": 2472.964799999998, - "Options": "a ) $ 645.56 , b ) $ 824.32 , c ) $ 954.26 , d ) $ 2472.96 , e ) $ 1020.45", - "Correct": "d", - "Explanation": "\"principle = $ 10000 rate = 2 % half yearly = 4 half years amount = 30000 * ( 1 + 2 / 100 ) ^ 4 = 30000 * 51 / 50 * 51 / 50 * 51 / 50 * 51 / 50 = $ 32472.96 c . i . = 32472.96 - 10000 = $ 2472.96 answer is d\"" - }, - { - "Answer": 21, - "Options": "a ) 150 , b ) 108 , c ) 42 , d ) 21 , e ) - 21", - "Correct": "d", - "Explanation": "oa is d . 100 = a + b + c - ab - ac - bc + abc , which is the same as the following formula 100 = a + b + c + ( - ab - ac - bc + abc + abc + abc ) - 2 abc . the term between parantheses value 18 % so the equation to resolve is 100 = 35 + 40 + 50 - 18 - 2 abc therefore the value of abc is z = 3.5 % of 600 , is 21 . d is the correct answer" - }, - { - "Answer": 40, - "Options": "a ) 65 , b ) 40 , c ) 55 , d ) 30 , e ) 60", - "Correct": "b", - "Explanation": "\"explanation : 65 / 100 * x - 5 / 100 * 60 = 23 65 / 100 * x - 3 = 23 65 / 100 * x = 26 x = 26 * 100 / 65 x = 40 answer : option b\"" - }, - { - "Answer": 36, - "Options": "a ) 36 % , b ) 35 % , c ) 34 % , d ) 33 % , e ) 32 %", - "Correct": "a", - "Explanation": "20 % of 6 litre is ( 6 * 20 / 100 ) = 1.2 litre 60 % of 4 litre is ( 60 * 4 / 100 ) = 2.4 litre the mixture is 3.6 litre so the percentage is ( 3.6 * 100 / 10 ) = 36 % answer : a" - }, - { - "Answer": 4999.999999999999, - "Options": "a ) 5000 , b ) 4500 , c ) 4950 , d ) 1000 , e ) 2000", - "Correct": "a", - "Explanation": "m . f = 90 / 100 * 110 * 100 * 90 / 100 = 81 * 11 / 1000 population before 3 yrs = i . q / m . f = 4455 * 1000 / 81 * 11 = 5000 answer : a" - }, - { - "Answer": 50, - "Options": "a ) 10 % , b ) 25 % , c ) 20 % , d ) 50 % , e ) 45 %", - "Correct": "d", - "Explanation": "\"rate of discount = 120 / 240 * 100 = 50 % answer is d\"" - }, - { - "Answer": 100, - "Options": "a ) 10 % , b ) 100 % , c ) 30 % , d ) 25 % , e ) 28 %", - "Correct": "b", - "Explanation": "\"cp = 50 sp = 100 profit = 100 - 50 = 50 % = 50 / 50 * 100 = 100 % answer : b\"" - }, - { - "Answer": 200, - "Options": "a ) 250 , b ) 225 , c ) 175 , d ) 195 , e ) 200", - "Correct": "e", - "Explanation": "\"number of students who speak french are 60 + 20 = 80 of total students , the percentage of students who do not speak french was 60 % - - > percentage of who do is 40 % 80 - - - - - - - 40 % x - - - - - - - 100 % x = 80 * 100 / 40 = 200 = number of all students answer is e\"" - }, - { - "Answer": 125.00000000000001, - "Options": "a ) s . 83.33 , b ) s . 110 , c ) s . 112 , d ) s . 125 , e ) s . 140", - "Correct": "d", - "Explanation": "\"income of rs 12 on investment of rs 100 income of rs 15 on investment of ? = ( 15 * 100 ) / 12 = 125 answer : d\"" - }, - { - "Answer": 18, - "Options": "a ) 18 , b ) 12 , c ) 20 , d ) 32 , e ) 36", - "Correct": "a", - "Explanation": "\"jan 1 = c feb 1 = c - 2 march 1 = c - 4 april 1 = c - 8 may 1 = c - 10 june 1 = c - 12 july 1 = c - 14 aug 1 = c - 16 sept 1 = c - 18 difference between stock on september 1 than were in stock on january 1 will be - c - ( c - 18 ) = 18 hence answer will be ( a )\"" - }, - { - "Answer": 8935, - "Options": "a ) 5768 , b ) 8925 , c ) 2345 , d ) 6474 , e ) 8935", - "Correct": "e", - "Explanation": "\"principal = ( 100 x 4020.75 ) / ( 9 x 5 ) = 402075 / 45 = 8935 . answer e\"" - }, - { - "Answer": 1000, - "Options": "a ) 90 , b ) 180 , c ) 270 , d ) 500 , e ) 1,000", - "Correct": "e", - "Explanation": "\"let total number of female officers in the police force = f total number of officers on duty on that night = 300 number of female officers on duty on that night = 300 / 2 = 150 ( 15 / 100 ) * f = 150 = > f = 1000 answer e\"" - }, - { - "Answer": 2999.9999999999995, - "Options": "a ) 2777 , b ) 1500 , c ) 3000 , d ) 2776 , e ) 2881", - "Correct": "c", - "Explanation": "( 5 / 100 ) a = ( 15 / 100 ) b a = 3 b a + b = 4000 4 b = 4000 = > b = 1000 a = 3000 answer c" - }, - { - "Answer": 80804, - "Options": "a ) 50000 , b ) 55000 , c ) 60000 , d ) 70000 , e ) 80804", - "Correct": "e", - "Explanation": "a = p ( 1 + r / n ) ^ nt a = total amount accrued p = principal deposited r = rate of interest in decimal form n = number of times per year , interest compounded t = time in number of years . . x ( 1 + 0.02 / 2 ) ^ 2 - x = 40,000 ( 1 + 0.04 / 4 ) ^ 4 - 40,000 [ when the principal is subtracted from the total amount accrued , the resulting difference is the interest portion and question states interests are equal ) = > x [ ( 1.01 ) ^ 2 - 1 ] = 40,000 [ ( 1.01 ) ^ 4 - 1 ] = > x [ ( 1.01 ) ^ 2 - 1 ] = 40,000 [ ( 1.01 ) ^ 2 + 1 ] [ ( 1.01 ) ^ 2 - 1 ] - - > using a ^ 2 - b ^ 2 = a + b x a - b formula and cancel common expression on both sides = > x = 40,000 ( 1.0201 + 1 ) = 80804 . hence answer is e ." - }, - { - "Answer": 861.5384615384615, - "Options": "a ) 862 , b ) 1067 , c ) 1977 , d ) 1056 , e ) 1097", - "Correct": "a", - "Explanation": "1120 = p [ 1 + ( 5 * 6 ) / 100 ] p = 862 answer : a" - }, - { - "Answer": 1499.9999999999998, - "Options": "a ) rs . 2500 , b ) rs . 1500 , c ) rs . 1400 , d ) rs . 1600 , e ) rs . 1300", - "Correct": "b", - "Explanation": "210 = ( p * 4 * 7 / 2 ) / 100 p = 1500 answer : b" - }, - { - "Answer": 1800, - "Options": "a ) $ 1800 , b ) $ 2500 , c ) $ 3000 , d ) $ 3120 , e ) $ 1540", - "Correct": "a", - "Explanation": "\"115 % of cost - 110 % of cost = $ 90 5 % of cost = $ 90 cost = 90 * 100 / 5 = $ 1800 answer is a\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 33.33 % , b ) 35 % , c ) 27.75 % , d ) 35.75 % , e ) 32.25 %", - "Correct": "a", - "Explanation": "sp = cp + g 200 sp = 200 cp + 50 sp 150 sp = 200 cp 150 - - - 50 cp 100 - - - ? = > 33.33 % answer : a" - }, - { - "Answer": 8, - "Options": "a ) 12 , b ) 14 , c ) 45 , d ) 8 , e ) 65", - "Correct": "d", - "Explanation": "\"d 80 % - - - 12 120 % - - - ? 80 / 120 * 12 = 8\"" - }, - { - "Answer": 8, - "Options": "a ) 8 % increase , b ) 4 % decrease , c ) 6 % increase , d ) 66 % increase , e ) 66 % decrease", - "Correct": "a", - "Explanation": "\"if n items are sold for $ p each , revenue is $ np . if we reduce the price by 40 % , the new price is 0.6 p . if we increase the number sold by 80 % , the new number sold is 1.8 n . so the new revenue is ( 0.6 p ) ( 1.8 n ) = 1.08 np , which is 1.08 times the old revenue , so is 8 % greater . answer : a\"" - }, - { - "Answer": 5100.5, - "Options": "a ) $ 5050.50 , b ) $ 5100.50 , c ) $ 5200.50 , d ) $ 5300.50 , e ) $ 5400.50", - "Correct": "b", - "Explanation": "the amount in the account after 6 months is 1.01 * 1.01 ( $ 5,000 ) = $ 5100.50 the answer is b ." - }, - { - "Answer": 407.4074074074074, - "Options": "a ) $ 407.41 , b ) $ 412.40 , c ) $ 455.40 , d ) $ 474.90 , e ) $ 488.20", - "Correct": "a", - "Explanation": "\"550 = 1.35 * x x = 550 / 1.35 = 407.407407 . . . which rounds to $ 407.41 , which is ( a ) .\"" - }, - { - "Answer": 20.239999999999995, - "Options": "a ) rs . 20.8 , b ) rs . 19.74 , c ) rs . 20.24 , d ) rs . 19.5 , e ) rs . 19.00", - "Correct": "c", - "Explanation": "explanation : principal , p = 100 \u00d7 si / rt = 100 \u00d7 101.20 / 5 \u00d7 1 = 20 \u00d7 101.20 = rs . 2024 simple interest for rs . 2024 at 6 % per annum for 1 year , si = 2024 \u00d7 6 \u00d7 1100 = 121.44 additional interest = rs . 121.44 - rs . 101.20 = rs . 20.24 answer : option c" - }, - { - "Answer": 309400, - "Options": "a ) 330000 , b ) 309400 , c ) 347000 , d ) 356000 , e ) 357000", - "Correct": "b", - "Explanation": "\"total number of invalid votes = 15 % of 560000 = 15 / 100 \u00d7 560000 = 8400000 / 100 = 84000 total number of valid votes 560000 \u2013 84000 = 476000 percentage of votes polled in favour of candidate a = 65 % therefore , the number of valid votes polled in favour of candidate a = 65 % of 476000 = 65 / 100 \u00d7 476000 = 30940000 / 100 = 309400 b )\"" - }, - { - "Answer": 64, - "Options": "a ) rs . 40 , b ) rs . 50 , c ) rs . 49 , d ) rs . 59 , e ) rs . 64", - "Correct": "e", - "Explanation": "\"s . p 1 - c . p = c . p \u2013 s . p 2 86 - c . p = c . p - 42 2 c . p = 86 + 42 ; c . p = 128 / 2 = 64 answer : e\"" - }, - { - "Answer": 86.95652173913044, - "Options": "a ) $ 120 , b ) $ 100 , c ) $ 91 , d ) $ 87 , e ) $ 69", - "Correct": "d", - "Explanation": "\"cost price = selling price * 100 / ( 100 + profit ) c . p . = 100 * 100 / 115 = $ 87 ( approximately ) answer is d\"" - }, - { - "Answer": 90, - "Options": "a ) 100 , b ) 110 , c ) 90 , d ) 30 , e ) 160", - "Correct": "c", - "Explanation": "\"final number = initial number + 50 % ( original number ) = 60 + 50 % ( 60 ) = 60 + 30 = 90 . answer c\"" - }, - { - "Answer": 120, - "Options": "a ) 81 , b ) 100 , c ) 120 , d ) 135 , e ) 160", - "Correct": "c", - "Explanation": "\"since the wholesale price was $ 90 and the profit was 20 % of the wholesale price ( [ . 2 ] [ 90 ] = $ 18 ) , the retail price would have to be above $ 108 , but not that much greater than that . let ' s start by testing answer c : $ 120 . . . . if . . . . . retail price q = $ 120 10 % discount off = $ 120 - ( . 1 ) ( 120 ) = 120 - 12 = 108 20 % profit on wholesale price = 90 + ( . 2 ) ( 90 ) = 90 + 18 = 108 these two numbers match , so this must be the answer ! final answer : [ reveal ] spoiler : c\"" - }, - { - "Answer": 0.08695652173913043, - "Options": "a ) 1 / 13 , b ) 2 / 23 , c ) 3 / 31 , d ) 4 / 15 , e ) 2 / 3", - "Correct": "b", - "Explanation": "denominator 100 + 5 + 10 115 numerator 100 * 0.1 = 10 - - - > jasmine water 10 + 5 = 15 - - - > new content of jasmine water in new solution ratio 3 / 23 answer is b" - }, - { - "Answer": 300, - "Options": "a ) 100 , b ) 110 , c ) 120 , d ) 300 , e ) 150", - "Correct": "d", - "Explanation": "\"50 % of 600 = 50 / 100 \u00d7 600 = 300 therefore , the number of vacant seats = 600 - 300 = 300 . answer : d\"" - }, - { - "Answer": 10, - "Options": "a ) 4 months , b ) 6 months , c ) 8 months , d ) 10 months , e ) none", - "Correct": "d", - "Explanation": "\"sol . let the total profit be rs . z . then , b \u2019 share = rs . 2 z / 3 , a \u2019 s share = rs . [ z - 2 z / 3 ] = rs . z / 3 \u2234 a : b = z / 3 : 2 z / 3 = 1 : 2 . let the total capital be rs . x and suppose b \u2019 s money was used for x months . then , [ 1 / 4 x * 15 ] / [ 3 / 4 x * y ] = 1 / 2 \u21d4 y = [ 15 * 2 / 3 ] = 10 . thus , b \u2019 s money was used for 10 months . answer d\"" - }, - { - "Answer": 39, - "Options": "a ) s . 12 , b ) s . 15 , c ) s . 18 , d ) s . 21 , e ) s . 39", - "Correct": "e", - "Explanation": "\"dividend on rs . 52 = rs . 9 / 100 x 52 = rs . 4.68 . rs . 12 is an income on rs . 100 . rs . 4.68 is an income on rs . 100 / 12 x 4.68 = rs . 39 . answer : option e\"" - }, - { - "Answer": 39.7, - "Options": "a ) 19 , b ) 19.7 , c ) 21.3 , d ) 29.5 , e ) 39.7", - "Correct": "e", - "Explanation": "\"total cost of the items he purchased = rs . 45 given that out of this rs . 45 , 30 % is given as tax = > total tax incurred = 30 % = rs . 30 / 100 let the cost of the tax free items = x given that tax rate = 6 % \u2234 ( 45 \u2212 30 / 100 \u2212 x ) 6 / 100 = 30 / 100 \u21d2 6 ( 45 \u2212 0.3 \u2212 x ) = 30 \u21d2 ( 45 \u2212 0.3 \u2212 x ) = 5 \u21d2 x = 45 \u2212 0.3 \u2212 5 = 39.7 e )\"" - }, - { - "Answer": 600, - "Options": "a ) 20 , b ) 120 , c ) 360 , d ) 600 , e ) 820", - "Correct": "d", - "Explanation": "let the number x . then , 20 % of x = 100 x = ( 100 * 100 ) / 20 = 500 120 % of x = ( 120 / 100 * 500 ) = 600 . answer : d" - }, - { - "Answer": 1110, - "Options": "a ) a ) 1040 , b ) b ) 1050 , c ) c ) 1055 , d ) d ) 1110 , e ) e ) 1075", - "Correct": "d", - "Explanation": "\"cost of 8 kg grapes = 70 \u00d7 8 = 560 . cost of 10 kg of mangoes = 55 \u00d7 10 = 550 . total cost he has to pay = 560 + 550 = 1110 d\"" - }, - { - "Answer": 180, - "Options": "a ) 120 , b ) 150 , c ) 180 , d ) 250 , e ) 440", - "Correct": "c", - "Explanation": "\"let b be the number of boys in the school . 162 = xb / 100 b = 0.5 x 16200 = 0.5 x ^ 2 x ^ 2 = 32400 x = 180 the answer is c .\"" - }, - { - "Answer": 2500, - "Options": "a ) 2500 , b ) 2100 , c ) 2200 , d ) 2300 , e ) 2400", - "Correct": "a", - "Explanation": "\"1 percent for 3 years = 75 1 percent for 1 year = 25 = > 100 percent = 2500 answer : a\"" - }, - { - "Answer": 945.0000000000009, - "Options": "a ) 945 , b ) 620 , c ) 610 , d ) 600 , e ) none of these", - "Correct": "a", - "Explanation": "\"solution = interest % for 1 st year = 10 interest % for 2 nd year = 10 + 10 % of 10 = 10 + 10 * 10 / 100 = 11 total % of interest = 10 + 11 = 21 total interest = 21 % 4500 = 4500 * ( 21 / 100 ) = 945 answer a\"" - }, - { - "Answer": 22.5, - "Options": "a ) 10 , b ) 12.5 , c ) 25 , d ) 22.5 , e ) 14.5", - "Correct": "d", - "Explanation": "\"s . i = ( p * r * t ) / 100 180 = 800 r / 100 r = 180 / 8 = 22.5 % answer d\"" - }, - { - "Answer": 2522.0000000000036, - "Options": "a ) rs . 2522 , b ) rs . 2512 , c ) rs . 2572 , d ) rs . 2592 , e ) none", - "Correct": "a", - "Explanation": "\"solution principal = rs . 16,000 ; time = 9 months = 3 quarters ; amount = rs . [ 16000 x ( 1 + 5 / 100 ) \u00b3 ] = [ 16000 x 21 / 20 x 21 / 20 x 21 / 20 ] = rs . 18522 . c . i = rs . ( 18522 - 16000 ) = rs . 2522 . answer a\"" - }, - { - "Answer": 40, - "Options": "a ) 289 , b ) 231 , c ) 200 , d ) 40 , e ) 111", - "Correct": "d", - "Explanation": "\"explanation : let c . p . be rs . x . then , 5 % of x = 350 - 348 = 2 x / 20 = 2 = > x = 40 answer : d\"" - }, - { - "Answer": 37, - "Options": "a ) 37 % , b ) 45 % , c ) 55 % , d ) 65 % , e ) 75 %", - "Correct": "a", - "Explanation": "\"setting up a matrix is how i solve this one . diploma no diploma totals job of choice w / diploma job of choice w / o diploma = 18 % job of choice total = 40 % not job of choice with diploma = . 25 x not job of choice w / o diploma = . 75 x total not job of choice = x total with diploma total without diploma total citizen = 100 if 40 % of people have their job of choice , then 60 % of people do not have their job of choice . 25 % of 60 % = 15 % . we can also see that 30 % of the people have their job of choice and a diploma ( 40 % - 18 % = 22 % ) . 22 % + 15 % = 37 % . therefore 37 % of the people in country z have a diploma . ans a\"" - }, - { - "Answer": 65, - "Options": "a ) 65 % , b ) 50 % , c ) 59 % , d ) 40 % , e ) 53 %", - "Correct": "a", - "Explanation": "\"l . c . m of 15 and 12 = 60 cp of 60 articles = rs . 100 ( 25 * 4 ) sp of 60 articles = rs . 165 ( 33 * 5 ) profit percentage = ( 165 - 100 ) / 100 * 100 = 65 % answer : a\"" - }, - { - "Answer": 0.5, - "Options": "a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 1 , e ) 3", - "Correct": "c", - "Explanation": "\"concentration of salt in pure solution = 0 concentration of salt in salt solution = 60 % concentration of salt in the mixed solution = 20 % the pure solution and the salt solution is mixed in the ratio of - - > ( 60 - 20 ) / ( 20 - 0 ) = 2 / 1 1 / x = 2 / 1 x = 1 / 2 answer : c\"" - }, - { - "Answer": 1.0101010101010102, - "Options": "a ) 1 , b ) 1.11 , c ) 1.01 , d ) 1.1 , e ) 1.21", - "Correct": "c", - "Explanation": "\"selling price = rs 100 : then cost price = rs 99 : profit = rs 1 . profit = { ( 1 / 99 ) * 100 } % = 1.01 % answer is c .\"" - }, - { - "Answer": 6.25, - "Options": "a ) 93.5 , b ) 90 , c ) 6.75 , d ) 6.25 , e ) 2", - "Correct": "d", - "Explanation": "\"usually we can solve every question of this type by choosing appropriate value of the variable and deriving the value of other related variables . let , p = 400 then j = ( 75 / 100 ) * 400 = 300 also j = ( 80 / 100 ) * t i . e . t = 300 * 100 / 80 = 375 and t = [ 1 - ( w / 100 ) ] * p i . e . 100 - w = 100 * t / p = 100 * 375 / 400 = 93.75 i . e . w = 6.25 answer : option d\"" - }, - { - "Answer": 1.4, - "Options": "a ) 1.5 , b ) 1.6 , c ) 1.7 , d ) 1.8 , e ) 1.4", - "Correct": "e", - "Explanation": "explanation : question of this type looks a bit typical , but it is too simple , as below . . . it will be 8 * 20 / 100 = 1.4 answer : option e" - }, - { - "Answer": 90.9090909090909, - "Options": "a ) $ 120 , b ) $ 100 , c ) $ 91 , d ) $ 72 , e ) $ 69", - "Correct": "c", - "Explanation": "\"cost price = selling price * 100 / ( 100 + profit ) c . p . = 100 * 100 / 110 = $ 91 ( approximately ) answer is c\"" - }, - { - "Answer": 5.499999999999999, - "Options": "a ) 5.002 % , b ) 5.5 % , c ) 0.5 % , d ) 5 % , e ) 20 %", - "Correct": "b", - "Explanation": "\"in 22 days 22 * 0.03 = 0.66 ounces of water evaporated , which is 0.66 / 12 \u00e2 \u02c6 \u2014 100 = 5.5 of the original amount of water . answer : b .\"" - }, - { - "Answer": 100, - "Options": "a ) 108 % , b ) 300 % , c ) 100 % , d ) 180 % , e ) 200 %", - "Correct": "c", - "Explanation": "mp = 100 cp = 75 sp = 150 - - - - - - 75 - - - - 75 100 - - - - ? = > 100 % answer : c" - }, - { - "Answer": 50, - "Options": "a ) 25 , b ) 30 , c ) 50 , d ) 55 , e ) 60", - "Correct": "c", - "Explanation": "20 % of employees are women with fair hair . 40 % of fair - haired employees are women . so , 20 % * employees = 40 % * fair haired employees ( because both are equal to the number of fair haired women employees ) ( 1 / 2 ) * employees = fair haired employees answer ( c )" - }, - { - "Answer": 50, - "Options": "a ) s . 50 , b ) s . 46 , c ) s . 49 , d ) s . 41 , e ) s . 42", - "Correct": "a", - "Explanation": "\"1000 * ( 25 / 100 ) = 250 - - - - 5 ? - - - - 1 = > rs . 50 answer : a\"" - }, - { - "Answer": 60, - "Options": "a ) 10 % , b ) 15 % , c ) 20 % , d ) 60 % , e ) 30 %", - "Correct": "d", - "Explanation": "price of a coat in a certain store = $ 500 the price of the coat is to be reduced by $ 300 % change = ( final value - initial value ) * 100 / initial value % reduction = ( reduction in price ) * 100 / initial value i . e . % reduction = ( 300 ) * 100 / 500 = 60 % answer : option d" - }, - { - "Answer": 1, - "Options": "a ) 5 hours , b ) 6 hours , c ) 1 hours , d ) 10 hours , e ) 12 hours", - "Correct": "c", - "Explanation": "to be 2 km apart they take 1 hour to be 10 km apart they take = 1 / 2 * 2 = 1 hours answer is c" - }, - { - "Answer": 0.7619047619047619, - "Options": "a ) 1 / 3 , b ) 2 / 3 , c ) 2 / 5 , d ) 3 / 5 , e ) 16 / 21", - "Correct": "e", - "Explanation": "\"let us assume the total original amount of whiskey = 10 ml - - - > 4 ml alcohol and 6 ml non - alcohol . let x ml be the amount removed - - - > total alcohol left = 4 - 0.4 x new quantity of whiskey added = x ml out of which 0.19 is the alcohol . thus , the final quantity of alcohol = 4 - 0.4 x + 0.19 x - - - - > ( 4 - 0.21 x ) / 10 = 0.24 - - - > x = 160 / 21 ml . per the question , you need to find the x ml removed as a ratio of the initial volume - - - > ( 160 / 21 ) / 10 = 16 / 21 . hence , e is the correct answer .\"" - }, - { - "Answer": 12.5, - "Options": "a ) 5 % , b ) 7.5 % , c ) 10 % , d ) 12.5 % , e ) 15 %", - "Correct": "d", - "Explanation": "\"let p be the original price and let x be the number of items sold originally . the original income is p * x . after the changes , the income is 0.9 p * 1.25 x = 1.125 * ( p * x ) , an increase of 12.5 % . the answer is d .\"" - }, - { - "Answer": 2490, - "Options": "a ) 2490 and 4150 , b ) 249 and 415 , c ) 2400 and 4100 , d ) 2290 and 4350 , e ) 229 and 435", - "Correct": "a", - "Explanation": "let the numbers be x and y . then , 7.5 % of x = 12.5 % of y x = 125 * y / 75 = 5 * y / 3 . now , x - y = 1660 5 * y / 3 \u2013 y = 1660 2 * y / 3 = 1660 y = [ ( 1660 * 3 ) / 2 ] = 2490 . one number = 2490 , second number = 5 * y / 3 = 4150 answer is a ." - }, - { - "Answer": 8112.000000000001, - "Options": "a ) rs . 8082 , b ) rs . 7800 , c ) rs . 8100 , d ) rs . 8112 , e ) rs . 9000", - "Correct": "d", - "Explanation": "\"explanation : a = 7500 ( 26 / 25 ) 2 = 8112 answer is d\"" - }, - { - "Answer": 21.875, - "Options": "a ) 16 % , b ) 22 % , c ) 32 % , d ) 40 % , e ) 52 %", - "Correct": "b", - "Explanation": "\"we are asked to find the percentage of females in employed people . total employed people 64 % , out of which 50 are employed males , hence 14 % are employed females . ( employed females ) / ( total employed people ) = 14 / 64 = 22 % answer : b .\"" - }, - { - "Answer": 1080, - "Options": "a ) 600 , b ) 277 , c ) 269 , d ) 261 , e ) 1080", - "Correct": "e", - "Explanation": "\"cost price = rs . 800 profit = 35 % of 800 = rs . 280 selling price = cost price + profit = 800 + 280 = 1080 answer : e\"" - }, - { - "Answer": 2700, - "Options": "a ) 2500 , b ) 2700 , c ) 3000 , d ) 3100 , e ) nobe", - "Correct": "b", - "Explanation": "solution number of valid votes = 80 % of 7500 = 6000 . valid votes polled by other candidates = 45 % of 6000 ( 45 / 100 \u00d7 6000 ) = 2700 . answer b" - }, - { - "Answer": 255.55555555555554, - "Options": "a ) 56 , b ) 156 , c ) 256 , d ) 356 , e ) 456", - "Correct": "c", - "Explanation": "the area of a circle is pir ^ 2 , where r is the radius . the area of the big circle is 25 pi . the area of the small circle is 16 pi . the area a 1 between the circles is 9 pi . when the big circle ' s radius increases , the new area is 36 pi . when the small circle ' s radius decreases , the new area is 4 pi . the area a 2 between the circles is 32 pi . the ratio of a 2 / a 1 is 32 / 9 = 3.56 which is an increase of 256 % . the answer is c ." - }, - { - "Answer": 1009125, - "Options": "a ) 976374 , b ) 979923 , c ) 1009125 , d ) 2356677 , e ) 1083875", - "Correct": "c", - "Explanation": "required population = p ( 1 + r 1 / 100 ) ( 1 - r 2 / 100 ) ( 1 + r 3 / 100 ) = p ( 1 + 15 / 100 ) ( 1 - 35 / 100 ) ( 1 + 35 / 100 ) = 1009125 c" - }, - { - "Answer": 72, - "Options": "a ) 41 , b ) 63 , c ) 72 , d ) 63 , e ) 50", - "Correct": "c", - "Explanation": "\"44 + 28 + 10 = 82 % 100 \u2013 82 = 18 % 400 * 18 / 100 = 72 answer : c\"" - }, - { - "Answer": 8, - "Options": "a ) 2 % , b ) 4 % , c ) 5 % , d ) 8 % , e ) 12 %", - "Correct": "d", - "Explanation": "\"let list price of an item = 100 discount on each item = 10 % discounted price of an item = . 9 * 100 = 90 if they advertise a sales discount of 10 % on every item in the store , at the end of one month the number of total items sold increases 20 % originally if 10 items were sold in a month , with the new discount 12 items will be sold original revenue = no of items * price of an item = 10 * 100 = 1000 new revenue = 12 * 90 = 1080 increase in gross income = 1080 - 1000 = 80 % increase in gross revenue = 80 / 1000 * 100 % = 8 % answer d\"" - }, - { - "Answer": 1750.000000000002, - "Options": "a ) 3000 , b ) 2802 , c ) 1750 , d ) 2990 , e ) 2982", - "Correct": "c", - "Explanation": "\"c . i . = [ 4000 * ( 1 + 10 / 100 ) 2 - 4000 ] = ( 4000 * 11 / 10 * 11 / 10 - 4000 ) = rs . 840 . sum = ( 420 * 100 ) / ( 3 * 8 ) = rs . 1750 answer : c\"" - }, - { - "Answer": 542.8, - "Options": "a ) 542 , b ) 882 , c ) 772 , d ) 662 , e ) 521", - "Correct": "a", - "Explanation": "\"cost price = rs . 460 profit = 18 % of 460 = rs . 82 selling price = cost price + profit = 460 + 82 = 542 answer : a\"" - }, - { - "Answer": 0.14285714285714285, - "Options": "a ) 3 / 4 , b ) 2 / 3 , c ) 4 / 7 , d ) 1 / 2 , e ) 1 / 7", - "Correct": "e", - "Explanation": "= 10 / 70 . = 1 / 7 my answer is e too" - }, - { - "Answer": 136, - "Options": "a ) 120 , b ) 128 , c ) 136 , d ) 144 , e ) 152", - "Correct": "c", - "Explanation": "\"45 + 23 + 15 = 83 % 100 \u2013 83 = 17 % 800 * 17 / 100 = 136 the answer is c .\"" - }, - { - "Answer": 127.62815625000003, - "Options": "a ) 127 % , b ) 120 % , c ) 121 % , d ) 135 % , e ) 140 %", - "Correct": "a", - "Explanation": "\"since michelle earns 10 % interest compounded semiannually , then she earns 5 % interest every 6 months . now , the simple interest earned in 5 periods ( 30 months = 5 * 6 months ) would be 5 % * 5 = 25 % . but , since the interest is compounded every 6 months , then there would be interest earned on interest ( very small amount ) thus the actual interest earned would be a little bit more than 25 % , only answer choice a fits . answer : a\"" - }, - { - "Answer": 70, - "Options": "a ) 55 % , b ) 60 % , c ) 65 % , d ) 70 % , e ) 75 %", - "Correct": "d", - "Explanation": "the percent of employees who are unionized and men is 0.7 * 0.6 = 42 % the percent of employees who are unionized and women is 60 - 42 = 18 % 46 % of all employees are women , so non - union women are 46 % - 18 % = 28 % 40 % of all employees are non - union . the percent of non - union employees who are women is 28 % / 40 % = 70 % the answer is d ." - }, - { - "Answer": 5000, - "Options": "a ) 10000 , b ) 5000 , c ) 15000 , d ) 20000 , e ) 6000", - "Correct": "b", - "Explanation": "winner - looser 60 % - 40 % if 1000 people change their mind and vote for the loser : winner - looser 40 % - 60 % thus 1,000 people compose 20 % of all voters , which means that the total number of votes is 5,000 . answer : b" - }, - { - "Answer": 640, - "Options": "a ) s . 486 , b ) s . 455 , c ) s . 640 , d ) s . 480 , e ) s . 489", - "Correct": "c", - "Explanation": "sp = 800 cp = ( sp ) * [ 100 / ( 100 + p ) ] = 800 * [ 100 / ( 100 + 25 ) ] = 800 * [ 100 / 125 ] = rs . 640 answer : c" - }, - { - "Answer": 1000, - "Options": "a ) $ 1010 , b ) $ 1025 , c ) $ 1125 , d ) $ 1100 , e ) $ 1000", - "Correct": "e", - "Explanation": "\"let the total amount be x then , ( 100 - 10 ) % of x = 500 + 400 90 % of x = 900 90 x / 100 = 9000 / 9 x = $ 1000 answer is e\"" - }, - { - "Answer": 40, - "Options": "a ) 20 % , b ) 40 % , c ) 60 % , d ) 80 % , e ) 100 %", - "Correct": "b", - "Explanation": "soln : - 1,500 * 1.2 = 1,800 . 1,800 ( 1 - y / 100 ) = 1,080 - - > ( 1 - y / 100 ) = 0.6 - - > y = 40 % . answer : b" - }, - { - "Answer": 600, - "Options": "a ) 600 , b ) 700 , c ) 800 , d ) 850 , e ) none of these", - "Correct": "a", - "Explanation": "\"explanation : note : majority ( 40 % ) = difference in votes polled to win ( 70 % ) & defeated candidates ( 30 % ) 40 % = 70 % - 30 % 40 % - - - - - > 280 ( 40 * 6 = 240 ) 100 % - - - - - > 600 ( 100 * 6 = 600 ) answer : option a\"" - }, - { - "Answer": 84, - "Options": "a ) 81 , b ) 84 , c ) 85 , d ) 88 , e ) 90", - "Correct": "b", - "Explanation": "let c = chair ; t = table 2 c + 1 t = 0.6 ( 1 c + 2 t ) or c ( 2 - 0.6 ) = 1.2 t - 1 t or 1.4 c = 0.2 t therefore c = 0.2 / 1.4 t = 1 / 7 t ic + 1 t = 96 or 1 / 7 t + 1 t = 96 therefore t = 96 * 7 / 8 = 84 b" - }, - { - "Answer": 42, - "Options": "a ) 28.5 , b ) 27.675 , c ) 30 , d ) data inadequate , e ) 42", - "Correct": "e", - "Explanation": "\"giving no discount to customer implies selling the product on printed price . suppose the cost price of the article is 100 . then printed price = 100 \u00e3 \u2014 ( 100 + 34.9 ) / ( 100 \u00e2 \u02c6 \u2019 5 ) = 142 hence , required % profit = 142 \u00e2 \u20ac \u201c 100 = 42 % answer e\"" - }, - { - "Answer": 36, - "Options": "a ) 52 sec , b ) 45 sec , c ) 60 sec , d ) 25 sec , e ) 36 sec", - "Correct": "e", - "Explanation": "\"speed = 12 km / hr = 12 * 5 / 18 = 10 / 3 m / sec distance = 30 * 4 = 120 m time taken = 120 * 3 / 10 = 36 sec answer is e\"" - }, - { - "Answer": 70, - "Options": "a ) 70 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 30 %", - "Correct": "a", - "Explanation": "\"price of a coat in a certain store = $ 500 the price of the coat is to be reduced by $ 350 % change = ( final value - initial value ) * 100 / initial value % reduction = ( reduction in price ) * 100 / initial value i . e . % reduction = ( 350 ) * 100 / 500 = 70 % answer : option a\"" - }, - { - "Answer": 120, - "Options": "a ) 81 , b ) 100 , c ) 120 , d ) 135 , e ) 160", - "Correct": "c", - "Explanation": "\"my solution : wholesale price = 90 retail price , be = x he provides 10 % discount on retail price = x - 10 x / 100 this retail price = 20 % profit on wholesale price x - 10 x / 100 = 90 + 1 / 5 ( 90 ) x = 120 ; answer : c\"" - }, - { - "Answer": 34, - "Options": "a ) 33 % , b ) 34 % , c ) 35 % , d ) 36 % , e ) 37 %", - "Correct": "b", - "Explanation": "\"total men in company 30 % means total women in company 70 % ( assume total people in company 100 % ) no of men employees attended picnic = 30 x ( 20 / 100 ) = 6 no of women employees attended picnic = 70 x ( 40 / 100 ) = 28 total percentage of employees attended the picnic = 6 + 28 = 34 % answer : b\"" - }, - { - "Answer": 30, - "Options": "a ) 35 % , b ) 30 % , c ) 45 % , d ) 50 % , e ) 55 %", - "Correct": "b", - "Explanation": "30 / 100 \u00d7 100 = 30 % answer : b" - }, - { - "Answer": 875, - "Options": "a ) s . 1000 , b ) s . 875 , c ) s . 1007 , d ) s . 1006 , e ) s . 1002", - "Correct": "b", - "Explanation": "\"explanation : 88 % 104 % - - - - - - - - 16 % - - - - 140 100 % - - - - ? = > rs . 875 answer : b\"" - }, - { - "Answer": 120, - "Options": "a ) 130 , b ) 120 , c ) 140 , d ) 100 , e ) 300", - "Correct": "b", - "Explanation": "using elimination method to pick the correct option it will be discovered that option b i . e 120 is the correct option because 40 % of 120 is 48 and 12 % of 48 is 5.76 . answer : b" - }, - { - "Answer": 60, - "Options": "a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70", - "Correct": "d", - "Explanation": "\"let c . p = 100 gain = 25 % s . p = 125 supposed c . p = 80 gain = 30 % s . p = ( 130 * 80 ) / 100 = 104 diff = ( 125 - 104 ) = 21 diff 21 when c . p = 100 then diff 12.60 when c . p = ( 100 * 12.60 ) / 21 = 60 answer : d\"" - }, - { - "Answer": 1000, - "Options": "a ) a ) 1040 , b ) b ) 1050 , c ) c ) 1000 , d ) d ) 1065 , e ) e ) 1075", - "Correct": "c", - "Explanation": "\"cost of 8 kg grapes = 70 \u00d7 8 = 560 . cost of 8 kg of mangoes = 55 \u00d7 8 = 440 . total cost he has to pay = 560 + 440 = 1000 c\"" - }, - { - "Answer": 0.5, - "Options": "a ) 1 / 3 , b ) 1 / 2 , c ) 2 / 3 , d ) 3 / 5 , e ) 4 / 7", - "Correct": "b", - "Explanation": "let x be the fraction of the original solution that was replaced . 0.5 * ( 1 - x ) + 0.2 ( x ) = 0.35 0.3 x = 0.15 x = 1 / 2 the answer is b ." - }, - { - "Answer": 4999.999999999999, - "Options": "a ) 3500 , b ) 4500 , c ) 5500 , d ) 5250 , e ) 5000", - "Correct": "e", - "Explanation": "10 % od 90 % = 9 % , 80 % 0 f 90 % = 72 % so the remaining 90 - 9 - 72 = 9 % = 450 acres or 10 % of 90 % = 9 % - - > 450 / 9 * 100 = 5000 acres answer ( e )" - }, - { - "Answer": 6218, - "Options": "a ) 6109 , b ) 6209 , c ) 6218 , d ) 6107 , e ) 6100", - "Correct": "c", - "Explanation": "\"time = 2 years 4 months = 2 ( 4 / 12 ) years = 2 ( 1 / 3 ) years . amount = $ [ 16000 x ( 1 + \u00ad ( 15 / 100 ) ) 2 x ( 1 + ( ( 1 / 3 ) * 15 ) / 100 ) ] = $ [ 16000 * ( 23 / 20 ) * ( 23 / 20 ) * ( 21 / 20 ) ] = $ 22218 . : . c . i . = rs . ( 22218 - 16000 ) = $ 6218 answer c .\"" - }, - { - "Answer": 30.107526881720432, - "Options": "a ) 70 % , b ) 30 % , c ) 40 % , d ) 50 % , e ) 80 %", - "Correct": "b", - "Explanation": "\"explanation : 930 - - - - 280 100 - - - - ? = > 30 % answer : b\"" - }, - { - "Answer": 6099.999999999999, - "Options": "a ) s . 6100 , b ) s . 5100 , c ) s . 5800 , d ) s . 6000 , e ) s . 6200", - "Correct": "a", - "Explanation": "\"p ( r / 100 ) ^ 2 = c . i - s . i p ( 10 / 100 ) ^ 2 = 61 6100 answer : a\"" - }, - { - "Answer": 400, - "Options": "a ) 200 , b ) 400 , c ) 300 , d ) 450 , e ) 500", - "Correct": "b", - "Explanation": "\"formula = total = 100 % , increse = ` ` + ' ' decrease = ` ` - ' ' a number means = 100 % that same number increased by 20 % = 120 % 120 % - - - - - - - > 480 ( 120 \u00d7 4 = 480 ) 100 % - - - - - - - > 400 ( 100 \u00d7 4 = 400 ) b )\"" - }, - { - "Answer": 750, - "Options": "a ) 343 , b ) 377 , c ) 750 , d ) 367 , e ) 232", - "Correct": "c", - "Explanation": "\"if mike had scored 13 marks more , he could have scored 30 % therefore , mike required 212 + 13 = 225 marks let the maximum marks be m . then 30 % of m = 225 ( 30 / 100 ) \u00d7 m = 225 m = ( 225 \u00d7 100 ) / 30 m = 22500 / 30 m = 750 answer : c\"" - }, - { - "Answer": 45, - "Options": "a ) 72 % , b ) 45 % , c ) 32 % , d ) 12 % , e ) 22 %", - "Correct": "b", - "Explanation": "\"explanation : suppose he has 100 items . let c . p . of each item be re . 1 . total cost = rs . 100 . number of items left after theft = 50 . s . p . of each item = rs . 1.10 total sale = 1.10 * 50 = rs . 55 hence , loss % = 45 / 100 * 100 = 45 % answer : b\"" - }, - { - "Answer": 1000, - "Options": "a ) s . 750 , b ) s . 1000 , c ) s . 1250 , d ) s . 1500 , e ) s . 1750", - "Correct": "b", - "Explanation": "explanation : let the sub be rs . x and the initial rate be r % . then x \u00e3 \u2014 ( r + 3 ) \u00e3 \u2014 4 / 100 \u00e2 \u02c6 \u2019 x \u00e3 \u2014 r \u00e3 \u2014 4 / 100 = 120 \u00e2 \u2021 \u2019 x \u00e3 \u2014 3 \u00e3 \u2014 4 / 100 = 120 \u00e2 \u2021 \u2019 x \u00e3 \u2014 4 / 100 = 40 \u00e2 \u2021 \u2019 4 x = 4000 \u00e2 \u2021 \u2019 x = 1000 answer : option b" - }, - { - "Answer": 1055, - "Options": "a ) 1040 , b ) 1050 , c ) 1055 , d ) 1065 , e ) 1075", - "Correct": "c", - "Explanation": "\"cost of 8 kg grapes = 70 \u00d7 8 = 560 . cost of 9 kg of mangoes = 55 \u00d7 9 = 490 . total cost he has to pay = 560 + 490 = 1055 c\"" - }, - { - "Answer": 302.2988505747126, - "Options": "a ) a ) 182 , b ) b ) 208 , c ) c ) 220 , d ) d ) 224 , e ) e ) 302", - "Correct": "e", - "Explanation": "if x is the original number of employees , then after 13 % reduction in employees number is . 87 x but we are given . 87 x = 263 x = 302 so the original number of employees is 302 correct answer - e" - }, - { - "Answer": 30.000000000000004, - "Options": "a ) 20 % , b ) 30 % , c ) 25 % , d ) 15 % , e ) 50 %", - "Correct": "b", - "Explanation": "quantity of sugar = 40 * 3 / 100 = 1.2 kg new percentage = 1.2 / 4 * 100 = 30 % answer is b" - }, - { - "Answer": 3200, - "Options": "a ) 400 , b ) 625 , c ) 3,200 , d ) 4,500 , e ) 10,000", - "Correct": "c", - "Explanation": "\"total fish = x percentage of second catch = ( 2 / 80 ) * 100 = 2.5 % so , x * 2.5 % = 80 x = 3200 ans c .\"" - }, - { - "Answer": 12, - "Options": "a ) 8 , b ) 12 , c ) 6 , d ) 4 , e ) 9", - "Correct": "b", - "Explanation": "\"80 % - - - 18 120 % - - - ? 80 / 120 * 18 = 12 answer : b\"" - }, - { - "Answer": 10, - "Options": "a ) 6 % , b ) 8 % , c ) 10 % , d ) 12 % , e ) 15 %", - "Correct": "c", - "Explanation": "\"in 5 years , the value grew $ 100 , so the simple interest was $ 20 per year . in 3 years , the total interest was 3 * $ 20 = $ 60 the principal is $ 260 - $ 60 = 200 . the interest rate is $ 20 / $ 200 = 10 % the answer is c .\"" - }, - { - "Answer": 2.25, - "Options": "a ) 5.25 % increase , b ) 5.25 % decrease , c ) 2.25 % increase , d ) 2.25 % decrease , e ) no change", - "Correct": "d", - "Explanation": "\"let x be the original salary . the final salary is 0.85 ( 1.15 x ) = 0.9775 x the answer is d .\"" - }, - { - "Answer": 56.00000000000001, - "Options": "a ) 35 % , b ) 40 % , c ) 45 % , d ) 50 % , e ) 56 %", - "Correct": "e", - "Explanation": "70 / 125 \u00d7 100 = 56 % answer : e" - }, - { - "Answer": 3000, - "Options": "a ) 2299 , b ) 2699 , c ) 3000 , d ) 6725 , e ) 2601", - "Correct": "c", - "Explanation": "\"cp = sp * ( 100 / ( 100 + profit % ) ) = 3600 ( 100 / 120 ) = rs . 3000 answer : c\"" - }, - { - "Answer": 22.500000000000004, - "Options": "a ) 32.5 % , b ) 34 % , c ) 35 % , d ) 36 % , e ) 22.5 %", - "Correct": "e", - "Explanation": "say morks income is - 100 so tax paid will be 30 say mindys income is 3 * 100 = 300 so tax paid is 20 % * 300 = 60 total tax paid = 30 + 60 = 90 . combined tax % will be 90 / 100 + 300 = 22.5 %" - }, - { - "Answer": 22500, - "Options": "a ) rs . 22500 , b ) rs . 24500 , c ) rs . 26500 , d ) rs . 28500 , e ) none of these", - "Correct": "a", - "Explanation": "\"explanation : question seems a bit tricky , but it is very simple . just calculate all cost price , then get 150 % of cp . c . p . = 9000 + 5000 + 1000 = 15000 150 % of 15000 = 150 / 100 * 15000 = 22500 option a\"" - }, - { - "Answer": 525, - "Options": "a ) 525 , b ) 500 , c ) 510 , d ) 530 , e ) 550", - "Correct": "a", - "Explanation": "\"( 3500 * 5 * 3 ) / 100 = > 525 answer : a\"" - }, - { - "Answer": 100, - "Options": "a ) 60 % , b ) 70 % , c ) 100 % , d ) 90 % , e ) 80 %", - "Correct": "c", - "Explanation": "\"anyway , in this question , there is no discount but the mark up is given as 50 % of the selling price . so it is not 50 % of $ 150 but instead , 50 % of selling price which is obtained by adding mark up to $ 150 . so if selling price is s , 150 + 50 % of s = s s = 300 profit = 150 which is calculated on cost price in % terms . so 150 / 150 * 100 = 100 % is profit . c\"" - }, - { - "Answer": 22.22222222222222, - "Options": "a ) 11 , b ) 22 , c ) 99 , d ) 77 , e ) 18", - "Correct": "b", - "Explanation": "\"900 - - - - 200 100 - - - - ? = > 22 % answer : b\"" - }, - { - "Answer": 1020, - "Options": "a ) s . 1020 , b ) s . 1160 , c ) s . 1190 , d ) s . 1202 , e ) s . 1256", - "Correct": "a", - "Explanation": "\"s . p . = 85 % of rs . 1200 = rs . 85 / 100 x 1200 = rs . 1020 answer : a\"" - }, - { - "Answer": 648, - "Options": "a ) rs . 207.40 , b ) rs . 534.60 , c ) rs . 648 , d ) rs . 655.60 , e ) rs . 685.60", - "Correct": "c", - "Explanation": "solution numbers of shares = ( 4455 / 825 ) = 540 face value = rs . ( 540 x 10 ) = rs . 5400 annual income = rs . ( 12 / 10 x 5400 ) = rs . 648 . answer c" - }, - { - "Answer": 40, - "Options": "a ) 10 % , b ) 25 % , c ) 20 % , d ) 50 % , e ) 40 %", - "Correct": "e", - "Explanation": "\"rate of discount = 80 / 200 * 100 = 40 % answer is e\"" - }, - { - "Answer": 12.5, - "Options": "a ) 5 % , b ) 6 % , c ) 12.5 % , d ) 95 % , e ) 1 %", - "Correct": "c", - "Explanation": "\"interest for 2 yrs = 500 interest for 1 yr = 250 interest rate = 250 / 2000 x 100 = 12.5 % answer : c\"" - }, - { - "Answer": 5.9, - "Options": "a ) 4.25 , b ) 5.9 , c ) 6.25 , d ) 7 , e ) 7.5", - "Correct": "b", - "Explanation": "\"required run rate = 282 - ( 4.6 x 10 ) = 236 236 / 40 = 5.9 b )\"" - }, - { - "Answer": 5.04, - "Options": "a ) 3 , b ) 9 , c ) 3 , d ) 4 , e ) 5.04", - "Correct": "e", - "Explanation": "by investing rs . 3000 , income = rs . 210 by investing rs . 72 , income = 210 \u00e3 \u2014 72 / 3000 = 5.04 ie , dividend = 5.04 % answer is e ." - }, - { - "Answer": 30000, - "Options": "a ) 30000 , b ) 50000 , c ) 40000 , d ) 20000 , e ) 60000", - "Correct": "a", - "Explanation": "\"let the amount invested by q = q 12000 : q = 3 : 5 \u21d2 12000 \u00d7 5 = 3 q \u21d2 q = ( 12000 \u00d7 5 ) / 3 = 30000 answer is a\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 10 % , b ) 33.33 % , c ) 40 % , d ) 50 % , e ) 66.66 %", - "Correct": "b", - "Explanation": "\"qnty . ( cheaper ) / qty . ( dearer ) = ( dearer - mean ) / ( mean - cheaper ) thus qy / qx = ( 40 - 30 ) / ( 30 - 25 ) = 2 therefore qy = 2 qx and qy + qx = 100 % ( total ) . hence qx = 33.33 % answer : b\"" - }, - { - "Answer": 35000.00000000001, - "Options": "a ) 15000 , b ) 25000 , c ) 45000 , d ) 32000 , e ) 35000", - "Correct": "e", - "Explanation": "let no . of pages be x while selling with 0.70 paise / page total cost = 0.70 * x while selling with 0.50 paise / page toatal cost = 0.50 * x now according to question - ( 0.70 x - 0.50 x ) + 8000 = 15000 therefore , x = 35000 copies must be sold answer : e" - }, - { - "Answer": 1.96, - "Options": "a ) 1.44 % , b ) 1.74 % , c ) 1.84 % , d ) 1.96 % , e ) 1.24 %", - "Correct": "d", - "Explanation": "\"sp of each car is rs . 325475 , he gains 14 % on first car and losses 14 % on second car . in this case , there will be loss and percentage of loss is given by = [ ( profit % ) ( loss % ) ] / 100 = ( 14 ) ( 14 ) / 100 % = 1.96 % answer : d\"" - }, - { - "Answer": 723.0000000000146, - "Options": "a ) 482 , b ) 725 , c ) 992 , d ) 837 , e ) 723", - "Correct": "e", - "Explanation": "30000 ( 11 / 10 ) 4 - 30000 ( 6 / 5 ) 2 = 723 answer : e" - }, - { - "Answer": 4, - "Options": "a ) 2 % , b ) 6 % , c ) 4 % , d ) 28 % , e ) 63 %", - "Correct": "c", - "Explanation": "case 1 : ( 7 / 70 ) = x / 100 x = 10 % case 2 : ( 9 / 63 ) = y / 100 y = 14 % so percent increase is = ( y - x ) = ( 14 - 10 ) % = 4 % answer is c" - }, - { - "Answer": 1360, - "Options": "a ) rs . 1360 , b ) rs . 1000 , c ) rs . 360 , d ) rs . 640 , e ) none of these", - "Correct": "a", - "Explanation": "\"explanation : bg = rs . 360 t = 3 years r = 12 % td = ( bg \u00d7 100 ) / tr = ( 360 \u00d7 100 ) / ( 3 \u00d7 12 ) = rs . 1000 bg = bd \u2013 td = > bd = bg + td = 360 + 1000 = rs . 1360 answer : option a\"" - }, - { - "Answer": 2155.062500000002, - "Options": "a ) $ 1200 , b ) $ 2000 , c ) $ 2150 , d ) $ 2500 , e ) $ 12000", - "Correct": "c", - "Explanation": "since the options did not make sense with 5 % annual rate of interest , it is apparent that the intent was a 5 % quarterly rate . so the bank charges 5 % every quarter and compounds it in the next quarter . had it been a simple quarterly rate , we would have just found 4 * 5 % of 10,000 = $ 2000 as our answer . but since , the interest is compounded , it will be a bit more than $ 2000 . option ( c ) looks correct . answer : c" - }, - { - "Answer": 45, - "Options": "a ) 72 % , b ) 70 % , c ) 52 % , d ) 50 % , e ) 45 %", - "Correct": "e", - "Explanation": "\"just assume original price is 100 . sale price = 50 then it is marked down by 10 % = 50 - 5 = 45 . hence it is 45 % od the original price . hence answer is e .\"" - }, - { - "Answer": 30000, - "Options": "a ) rs . 22000 , b ) rs . 24000 , c ) rs . 26000 , d ) rs . 30000 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : question seems a bit tricky , but it is very simple . just calculate all cost price , then get 150 % of cp . c . p . = 14000 + 5000 + 1000 = 20000 150 % of 20000 = 150 / 100 * 20000 = 30000 option d\"" - }, - { - "Answer": 100, - "Options": "a ) 20 % , b ) 25 % , c ) 50 % , d ) 75 % , e ) 100 %", - "Correct": "e", - "Explanation": "\"let the original salary be $ 100 new salary = $ 50 increase on 50 = 50 increase on 100 = 50 / 50 * 100 = 100 % ( approximately ) answer is e\"" - }, - { - "Answer": 400, - "Options": "a ) s . 400 , b ) s . 120 , c ) s . 420 , d ) s . 450 , e ) s . 290", - "Correct": "a", - "Explanation": "\"let the sp of the refrigerator and the mobile phone be rs . r and rs . m respectively . r = 15000 ( 1 - 4 / 100 ) = 15000 - 600 m = 10000 ( 1 + 10 / 100 ) = 10000 + 1000 total sp - total cp = r + m - ( 15000 + 10000 ) = - 600 + 1000 = rs . 400 as this is positive , an overall profit of rs . 400 was made . a\"" - }, - { - "Answer": 90.02777777777779, - "Options": "a ) 90.03 , b ) 114 , c ) 114.75 , d ) 124 , e ) 124.75", - "Correct": "a", - "Explanation": "\"face value = rs . 6500 . dividend = 10.5 % . annual income = rs . 756 . brokerage per rs . 100 = rs . 0.25 . dividend is always paid on the face value of a share . face value * dividend / ( market value + brokerage per rs . 100 ) = annual income . = 6500 * 10.5 / 756 = market value of rs . 100 stock + brokerage per rs . 100 . = market value of rs . 100 stock + brokerage per rs . 100 = rs . 90.27 . = market value of rs . 100 stock = rs . 90.27 - re . 0.25 . = market value of rs . 100 stock = rs . 90.03 . answer : a\"" - }, - { - "Answer": 1.6, - "Options": "a ) 1.5 , b ) 1.6 , c ) 1.7 , d ) 1.8 , e ) 1.9", - "Correct": "b", - "Explanation": "\"explanation : question of this type looks a bit typical , but it is too simple , as below . . . it will be 8 * 20 / 100 = 1.6 answer : option b\"" - }, - { - "Answer": 15000, - "Options": "a ) 15000 , b ) 20000 , c ) 30000 , d ) 60000 , e ) 45000", - "Correct": "a", - "Explanation": "\"winner - looser 60 % - 40 % if 3000 people change their mind and vote for the loser : winner - looser 40 % - 60 % thus 3,000 people compose 20 % of all voters , which means that the total number of votes is 15,000 . answer : a\"" - }, - { - "Answer": 19, - "Options": "a ) 9 % , b ) 10 % , c ) 105 / 8 % , d ) 11 % , e ) 19 %", - "Correct": "e", - "Explanation": "\"the equation we can form the question : return on total investment = sum of individual investments ( 500 + 1500 ) ( 16 ) = ( 500 \u00e2 \u02c6 \u2014 7 ) + ( 1500 x ) , where x is the return on investment of 1500 . solving the equation , we get x = 19 % ( option e ) answer : e\"" - }, - { - "Answer": 28800, - "Options": "a ) $ 28,300 , b ) $ 30,400 , c ) $ 28,800 , d ) $ 32,500 , e ) $ 35,100", - "Correct": "c", - "Explanation": "\"let the principal amount = p simple annual interest = 9 % simple monthly interest = ( 9 / 12 ) = ( 3 / 4 ) % ( 3 / 4 ) * ( p / 100 ) = 216 = > p = ( 216 * 4 * 10 ^ 2 ) / 3 = 72 * 4 * 10 ^ 2 = 288 * 10 ^ 2 = 28800 answer c\"" - }, - { - "Answer": 400, - "Options": "a ) 300 , b ) 400 , c ) 500 , d ) 600 , e ) 700", - "Correct": "b", - "Explanation": "\"let x be the number of female police officers on the police force . the number of female police officers on duty was 72 . 0.18 x = 72 x = 400 the answer is b .\"" - }, - { - "Answer": 63, - "Options": "a ) 63 % , b ) 70 % , c ) 62 % , d ) 50 % , e ) 28 %", - "Correct": "a", - "Explanation": "just assume original price is 100 . sale price = 70 then it is marked down by 10 % = 70 - 7 = 63 . hence it is 63 % od the original price . hence answer is a ." - }, - { - "Answer": 66.66666666666666, - "Options": "a ) 45 % , b ) 50 % , c ) 57 % , d ) 66.6 % , e ) 65.6 %", - "Correct": "d", - "Explanation": "\"total number of votes polled = ( 2500 + 5000 + 15000 ) = 22500 so , required percentage = 11628 / 20400 * 100 = 66.6 % d\"" - }, - { - "Answer": 350, - "Options": "a ) 350 , b ) 288 , c ) 799 , d ) 778 , e ) 901", - "Correct": "a", - "Explanation": "\"64 % 104 % - - - - - - - - 40 % - - - - 140 100 % - - - - ? = > rs . 350 answer : a\"" - }, - { - "Answer": 19, - "Options": "a ) 19 % , b ) 10 % , c ) 21 % , d ) 16 % , e ) none", - "Correct": "a", - "Explanation": "\"solution : given ratio of ram and shayam ' s weight = 4 : 5 hence , ( x - 15 ) / ( 15 - 10 ) = 4 / 5 or , x = 19 % . answer : option a\"" - }, - { - "Answer": 12.5, - "Options": "a ) 12.9 % , b ) 92.5 % , c ) 12.5 % , d ) 12.6 % , e ) 12.7 %", - "Correct": "c", - "Explanation": "\"explanation : by investing rs 128 , income derived = rs . 16 by investing rs . 100 , income derived = = rs . 12.5 interest obtained = 12.5 % answer : c ) rs . 12.5 %\"" - }, - { - "Answer": 2.3076923076923075, - "Options": "a ) 2.31 , b ) 9.31 , c ) 1.31 , d ) 4.31 , e ) 3.31", - "Correct": "a", - "Explanation": "\"swim in still water at = 3 speed of river = 1.7 us = 3 - 1.7 = 1.3 distance = 3 t = 3 / 1.3 = 2.31 answer : a\"" - }, - { - "Answer": 960, - "Options": "a ) $ 480 , b ) $ 450 , c ) $ 960 , d ) $ 870 , e ) $ 660", - "Correct": "c", - "Explanation": "\"c $ 960 let c . p . = $ x . then , 832 - x = x - 448 2 x = 1280 = > x = 640 required s . p . = 150 % of $ 640 = 150 / 100 * 640 = $ 960 .\"" - }, - { - "Answer": 49.999999999999986, - "Options": "a ) 20 % loss , b ) 50 % profit , c ) 33.33 % loss , d ) 30.33 % loss , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : let cost price of 1 article be re . 1 . therefore , cost price of 24 articles = rs . 24 . selling price of 16 articles = rs . 24 therefore , selling price of 24 articles is : - = > 24 / 16 \u00e3 \u2014 24 = > 36 . therefore , profit = selling price - cost price . = > 36 \u00e2 \u02c6 \u2019 24 = 12 . hence , the percentage of profit = profit x 100 / c . p . = > 12 / 24 \u00e3 \u2014 100 . = > 50 % profit . answer : b\"" - }, - { - "Answer": 25, - "Options": "a ) 20 % , b ) 25 % , c ) 30 % , d ) 35 % , e ) 40 %", - "Correct": "b", - "Explanation": "\"the number of silver cars is 0.15 * 40 + 0.3 * 80 = 30 the percentage of cars which are silver is 30 / 120 = 25 % the answer is b .\"" - }, - { - "Answer": 964.0000000000146, - "Options": "a ) 482 , b ) 725 , c ) 964 , d ) 837 , e ) 923", - "Correct": "c", - "Explanation": "\"40000 ( 11 / 10 ) 4 - 40000 ( 6 / 5 ) 2 = 964 answer : c\"" - }, - { - "Answer": 1000, - "Options": "a ) 90 , b ) 180 , c ) 270 , d ) 500 , e ) 1,000", - "Correct": "e", - "Explanation": "\"let total number of female officers in the police force = f total number of officers on duty on that night = 500 number of female officers on duty on that night = 500 / 2 = 250 ( 25 / 100 ) * f = 250 = > f = 1000 answer e\"" - }, - { - "Answer": 50, - "Options": "a ) 30 % , b ) 40 % , c ) 50 % , d ) 65 % , e ) 72 %", - "Correct": "c", - "Explanation": "\"here , selling price of 10 m cloth is obtained as profit . profit of 10 m cloth = ( s . p . of 30 m cloth ) \u2013 ( c . p . of 30 m cloth ) selling price of 20 m cloth = selling price of 30 m of cloth let cost of each metre be rs . 100 . therefore , cost price of 20 m cloth = rs . 2000 and s . p . of 20 m cloth = rs . rs . 3000 profit % = 10 \u00d7 100 = 50 % 20 profit of 50 % was made by the merchant . c\"" - }, - { - "Answer": 2060, - "Options": "a ) 2060 , b ) 2050 , c ) 2040 , d ) 2033 , e ) 2034", - "Correct": "a", - "Explanation": "explanation : given year 2032 when divided by 4 , leaves a remainder 0 . note : when remainder is 0 , 28 is added to the given year to get the result . so , 2032 + 28 = 2060 answer : a" - }, - { - "Answer": 50, - "Options": "a ) 2.5 % , b ) 50 % , c ) 25 % , d ) 35 % , e ) 250 %", - "Correct": "b", - "Explanation": "\"answer = b 25 a / 100 = 50 b / 100 b = 25 a / 50 = 50 a / 100 = 50 %\"" - }, - { - "Answer": 6000, - "Options": "a ) 8000 , b ) 6000 , c ) 5000 , d ) 4000 , e ) 3000", - "Correct": "b", - "Explanation": "\"simple way to solve this question is to use options . from si , we know that x * y = 30,000 . now , put the value of x = 6000 , we will have y = 5 % to calculate ci , now , we know 1 st year amount = 6000 + 5 % of 6000 = 6300 . 2 nd year , amount = 6300 + 5 % of 6300 = 6615 we can see after 2 years interest = 6615 - 6000 = 615 . hence , it satisfies the question . hence b is the correct answer\"" - }, - { - "Answer": 31.000000000000455, - "Options": "a ) 22 , b ) 77 , c ) 26 , d ) 19 , e ) 31", - "Correct": "e", - "Explanation": "\"explanation : s . i . = rs . [ ( 1000 x 10 x 3 ) / 100 ] = rs . 300 c . i . = rs . [ 1000 x ( 1 + ( 10 / 100 ) ) 3 - 1000 ] = rs . 331 difference = rs . ( 331 - 300 ) = rs . 31 answer : e\"" - }, - { - "Answer": 26, - "Options": "a ) 277 , b ) 36 , c ) 26 , d ) 72 , e ) none of these", - "Correct": "c", - "Explanation": "\"? % of 360 = 93.6 or , ? = 93.6 \u00d7 100 / 360 = 26 answer c\"" - }, - { - "Answer": 15.12, - "Options": "a ) 15.12 , b ) 16.33 , c ) 16.35 , d ) 16.3 , e ) 16.32", - "Correct": "a", - "Explanation": "\"c . p . of 50 kg wheat = ( 30 * 11.50 + 20 * 14.25 ) = rs . 630 . s . p . of 50 kg wheat = 120 % of rs . 630 = 120 / 100 * 630 = rs . 756 s . p . per kg = 756 / 50 = rs . 15.12 answer : a\"" - }, - { - "Answer": 137500, - "Options": "a ) $ 135656 , b ) $ 137500 , c ) $ 134446 , d ) $ 123265 , e ) $ 124564", - "Correct": "b", - "Explanation": "\"let the total amount be x then , ( 100 - 20 ) % of x = 80000 + 30000 80 % of x = 110000 80 x / 100 = 110000 x = $ 1100000 / 8 x = $ 137500 answer is b\"" - }, - { - "Answer": 49.99999999999996, - "Options": "a ) 1 , b ) 2 , c ) 50 , d ) 49 , e ) 97", - "Correct": "c", - "Explanation": "\"we have 99 managers and 1 director . that 1 director to compose 2 % of the total number of people , there must be 50 people in the room , hence 50 managers must leave . answer : c .\"" - }, - { - "Answer": 0.62, - "Options": "a ) 62 % , b ) 6.2 % , c ) 0.62 % , d ) 0.062 % , e ) 0.0062 %", - "Correct": "c", - "Explanation": "\"10 % of 1000 is 100 . 6.2 is way less than 100 ( 10 % of 1000 ) . so it can not be 62 % of 1000 . eliminate option a 1 % of 1000 is 10 . 6.2 is less than 10 . so it cant be 6.2 % . eliminate option b ( 0.5 % ) i . e . half of 1 % of 1000 is 5 . but 6.2 is greater than 5 . . so it has to be greater than 0.5 % . . . hence answer is 0.62 % , answer : c\"" - }, - { - "Answer": 6.15, - "Options": "a ) 6.25 , b ) 6.5 , c ) 6.15 , d ) 7 , e ) 8", - "Correct": "c", - "Explanation": "\"10 overs - run rate = 3.6 runs scored in first 10 overs = 36 remaining overs 40 total runs to be scored = 282 32 runs already scored 282 - 36 = 246 246 runs to be scored in 40 overs let required runrate be x 40 * x = 246 x = 246 / 40 x = 6.15 the required runrate is 6.15 answer : c\"" - }, - { - "Answer": 2700, - "Options": "a ) 2800 , b ) 2700 , c ) 2900 , d ) 2200 , e ) 2300", - "Correct": "b", - "Explanation": "\"b number of valid votes = 80 % of 7500 = 6000 . valid votes polled by other candidate = 45 % of 6000 = ( 45 / 100 x 6000 ) = 2700 .\"" - }, - { - "Answer": 43.529411764705884, - "Options": "a ) 20.8 , b ) 30.4 , c ) 43.5 , d ) 32.5 , e ) 33.8", - "Correct": "c", - "Explanation": "$ 85 - $ 48 = 37 $ ( 37 / 85 ) * 100 = 43.5 % answer : c" - }, - { - "Answer": 14.942528735632184, - "Options": "a ) 9 % , b ) 10 % , c ) 11 % , d ) 15 % , e ) 90 %", - "Correct": "d", - "Explanation": "\"assume the price = 100 price during sale = 87 price after sale = 100 percent increase = 13 / 87 * 100 = 15 % approx . correct option : d\"" - }, - { - "Answer": 4.166666666666669, - "Options": "a ) 25 / 6 , b ) 5 5 / 7 , c ) 5 5 / 2 , d ) 5 5 / 8 , e ) 5 5 / 1", - "Correct": "a", - "Explanation": "let sum = x . then , amount = 7 x / 6 s . i . = 7 x / 6 - x = x / 6 ; time = 4 years . rate = ( 100 * x ) / ( x * 6 * 4 ) = 25 / 6 % . answer : a" - }, - { - "Answer": 5.75, - "Options": "a ) 6.25 , b ) 6.22 , c ) 6.29 , d ) 5.75 , e ) 6.13", - "Correct": "d", - "Explanation": "\"required run rate = [ 262 - ( 3.2 * 10 ) ] / 40 = 230 / 40 = 5.75 answer : d\"" - }, - { - "Answer": 1666.6666666666665, - "Options": "a ) 1521 , b ) 1492 , c ) 1667 , d ) 1254 , e ) 1112", - "Correct": "c", - "Explanation": "\"speed = 10 * 5 / 18 = 50 / 18 m / sec distance covered in 10 minutes = 50 / 18 * 10 * 60 = 1667 m answer is c\"" - }, - { - "Answer": 85, - "Options": "a ) 75 % , b ) 25 % , c ) 85 % , d ) 55 % , e ) 65 %", - "Correct": "c", - "Explanation": "let the 3 rd subject % = x 60 + 80 + x = 3 * 75 140 + x = 225 x = 225 - 140 = 85 answer : c" - }, - { - "Answer": 24.00000000000002, - "Options": "a ) 24 , b ) 34.8 , c ) 37.8 , d ) 42 , e ) 84", - "Correct": "a", - "Explanation": "\"the difference between the amounts john paid and jane paid is the deference between 15 % of p and 15 % of 0.9 p : 0.15 p - 0.15 * 0.9 p = 0.36 - - > 15 p - 13.5 p = 36 - - > p = 24 . answer : a .\"" - }, - { - "Answer": 80, - "Options": "a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 80", - "Correct": "e", - "Explanation": "\"let c . p = 100 gain = 25 % s . p = 125 supposed c . p = 80 gain = 30 % s . p = ( 130 * 80 ) / 100 = 104 diff = ( 125 - 104 ) = 21 diff 21 when c . p = 100 then diff 16.80 when c . p = ( 100 * 16.80 ) / 21 = 50 answer : e\"" - }, - { - "Answer": 16, - "Options": "a ) 14 , b ) 15 , c ) 16 , d ) 17 , e ) 18", - "Correct": "c", - "Explanation": "\"explanation : let the cost price 1 article = re 1 cost price of x articles = x s . p of x articles = 20 gain = 20 - x = > 25 = ( 20 \u2212 x / x \u2217 100 ) = > 2000 \u2212 100 x = 25 x = > x = 16 option c\"" - }, - { - "Answer": 150, - "Options": "a ) 0.2 % , b ) 2 % , c ) 5 % , d ) 150 % , e ) 500 %", - "Correct": "d", - "Explanation": "\"120 = x * 80 / 100 x = 150 % ans ; d\"" - }, - { - "Answer": 2790, - "Options": "a ) 2660 , 1000 , b ) 3660 , 2000 , c ) 3000 , 4160 , d ) 2790 , 4650 , e ) 4660 , 3000", - "Correct": "d", - "Explanation": "\"let the numbers be x and y . then , 7.5 % of x = 12.5 % of y x = 125 * y / 75 = 5 * y / 3 . now , x - y = 1860 5 * y / 3 \u2013 y = 1860 2 * y / 3 = 1860 y = [ ( 1860 * 3 ) / 2 ] = 2790 . one number = 2790 , second number = 5 * y / 3 = 4650 . answer d .\"" - }, - { - "Answer": 31.25, - "Options": "a ) 24 , b ) 28 , c ) 31 , d ) 32 , e ) 34", - "Correct": "c", - "Explanation": "\"let c . p . be rs . 100 . then , s . p . = rs . 126 let marked price be rs . x . then , 96 / 100 x = 126 x = 12600 / 96 = rs . 131.25 now , s . p . = rs . 131.25 , c . p . = rs . 100 profit % = 31 % . answer : c\"" - }, - { - "Answer": 25, - "Options": "a ) $ 35 , b ) $ 25 , c ) $ 45 , d ) $ 50 , e ) $ 55", - "Correct": "b", - "Explanation": "\"as given , after lost , the remaining 8 crates total cost = $ 160 so , 1 crate cost = 160 / 8 = 20 to get 25 % profit , 1 crate cost should be = 20 + 20 * 25 / 100 = $ 25 answer : b\"" - }, - { - "Answer": 72, - "Options": "a ) s . 45 , b ) s . 50 , c ) s . 55 , d ) s . 60 , e ) s . 72", - "Correct": "e", - "Explanation": "\"( c . p . of 15 balls ) - ( s . p . of 15 balls ) = ( c . p . of 5 balls ) c . p . of 10 balls = s . p . of 15 balls = rs . 720 . c . p . of 1 ball = rs . 720 / 10 = rs . 72 . answer : option e\"" - }, - { - "Answer": 380.15999999999997, - "Options": "a ) 288 , b ) 277 , c ) 380 , d ) 290 , e ) 262", - "Correct": "c", - "Explanation": "\"528 * ( 80 / 100 ) * ( 90 / 100 ) = 380 answer : c\"" - }, - { - "Answer": 54.54545454545454, - "Options": "a ) 40.5 % , b ) 48.7 % , c ) 54.5 % , d ) 55.6 % % , e ) none", - "Correct": "c", - "Explanation": "sol . let marked price = rs . 100 . then , c . p . = rs . 55 . s . p = rs . 85 . \u00e2 \u02c6 \u00b4 gain % = [ 30 / 55 * 100 ] % = 54.5 % . answer c" - }, - { - "Answer": 8760, - "Options": "a ) 9680 , b ) 8790 , c ) 8760 , d ) 9020 , e ) 5000", - "Correct": "c", - "Explanation": "\"( 4500 * 2 * 4 ) / 100 = 360 8400 - - - - - - - - 8760 answer : c\"" - }, - { - "Answer": 103.91666666666667, - "Options": "a ) 103.92 , b ) 114 , c ) 114.75 , d ) 124 , e ) 124.75", - "Correct": "a", - "Explanation": "\"face value = rs . 7500 . dividend = 10.5 % . annual income = rs . 756 . brokerage per rs . 100 = rs . 0.25 . dividend is always paid on the face value of a share . face value * dividend / ( market value + brokerage per rs . 100 ) = annual income . = 7500 * 10.5 / 756 = market value of rs . 100 stock + brokerage per rs . 100 . = market value of rs . 100 stock + brokerage per rs . 100 = rs . 104.17 = market value of rs . 100 stock = rs . 104.17 - re . 0.25 . = market value of rs . 100 stock = rs . 103.92 . answer : a\"" - }, - { - "Answer": 2.2500000000000084, - "Options": "a ) 2 % , b ) 2.25 % , c ) 3.12 % , d ) 4.65 % , e ) 5.12 %", - "Correct": "b", - "Explanation": "\"in such a case there is always a loss loss % = ( 15 / 10 ) ^ 2 = 9 / 4 = 2.25 % answer is b\"" - }, - { - "Answer": 873.5999999999999, - "Options": "a ) $ 120 , b ) $ 150 , c ) $ 874 , d ) $ 250 , e ) $ 300", - "Correct": "c", - "Explanation": "\"a = p ( 1 + r / 100 ) ^ t = 1200 ( 1 + 20 / 100 ) ^ 3 = $ 2074 ci = $ 874 answer is c\"" - }, - { - "Answer": 6400, - "Options": "a ) 8876 , b ) 2765 , c ) 6400 , d ) 1298 , e ) 1261", - "Correct": "c", - "Explanation": "\"x * 12 : 2 x * 6 : 3 x * 4 1 : 1 : 1 1 / 3 * 19200 = 6400 answer : c\"" - }, - { - "Answer": 768, - "Options": "a ) 277 , b ) 960 , c ) 277 , d ) 266 , e ) 768", - "Correct": "e", - "Explanation": "\"let c . p . = rs . x . then , 832 - x = x - 448 2 x = 1280 = > x = 640 required s . p . = 120 % of rs . 640 = 120 / 100 * 640 = rs . 768 . answer : e\"" - }, - { - "Answer": 53.99999325000085, - "Options": "a ) 45 , b ) 36 , c ) 40 , d ) 54 , e ) 48", - "Correct": "d", - "Explanation": "\"production cost per article : $ 50 * ( 100 % - 20 % ) / 20 = $ 2.0 required production costs for a loss of 20 % : $ 90 * ( 100 % + 20 % ) = $ 108 number of articles to be sold for $ 108 to incur a 20 % loss : $ 108 / $ 2.0 = 54 thus , solution d is correct .\"" - }, - { - "Answer": 17500, - "Options": "a ) 16000 , b ) 25000 , c ) 15000 , d ) 18000 , e ) 17500", - "Correct": "e", - "Explanation": "\"let the cp be $ x . had he offered 10 % discount , profit = 8 % profit = 8 / 100 x and hence his sp = x + 8 / 100 x = $ 1.08 x = 21000 - 10 / 100 ( 21000 ) = 21000 - 2100 = $ 18900 = > 1.08 x = 18900 = > x = 17500 e\"" - }, - { - "Answer": 21, - "Options": "a ) 22 , b ) 21 , c ) 8 , d ) 9 , e ) 81", - "Correct": "b", - "Explanation": "answer : b ) 21 %" - }, - { - "Answer": 266, - "Options": "a ) 266 , b ) 278 , c ) 342 , d ) 787 , e ) 191", - "Correct": "a", - "Explanation": "\"350 * ( 80 / 100 ) * ( 95 / 100 ) = 266 answer : a\"" - }, - { - "Answer": 55, - "Options": "a ) s . 40 , b ) s . 46 , c ) s . 55 , d ) s . 41 , e ) s . 42", - "Correct": "c", - "Explanation": "\"800 * ( 25 / 100 ) = 275 - - - - 5 ? - - - - 1 = > rs . 55 answer : c\"" - }, - { - "Answer": 13.999999999999993, - "Options": "a ) 8 % , b ) 10 % , c ) 11 % , d ) 12 % , e ) 14 %", - "Correct": "e", - "Explanation": "let x be the discount on pony jeans . then 0.22 - x is the discount on fox jeans . 3 ( 0.22 - x ) ( 15 ) + 2 x ( 18 ) = 8.64 9.9 - 45 x + 36 x = 8.64 9 x = 1.26 x = 0.14 the answer is e ." - }, - { - "Answer": 1.0000000000000013, - "Options": "a ) 5 , b ) 15 , c ) 55 , d ) 95 , e ) 1", - "Correct": "e", - "Explanation": "p makes x sprockets per hour . then q makes 1.1 x sprockets per hour . 10 / x = 110 / 1.1 x + 10 1.1 ( 110 ) = 110 + 11 x 11 x = 11 x = 1 the answer is e" - }, - { - "Answer": 125.99999999999997, - "Options": "a ) 80 , b ) 95 , c ) 105 , d ) 120 , e ) 126", - "Correct": "e", - "Explanation": "\"set up equation : x = total number of workers 144 = 0,4 * 2 / 3 * x + 0,8 * 1 / 3 * x 144 = 16 / 30 x x = 270 270 - 144 = 126 answer e\"" - }, - { - "Answer": 25, - "Options": "a ) 5 % , b ) 6 % , c ) 2 % , d ) 25 % , e ) 1 %", - "Correct": "d", - "Explanation": "interest for 2 yrs = 400 interest for 1 yr = 200 interest rate = 200 / 800 x 100 = 25 % answer : d" - }, - { - "Answer": 21, - "Options": "a ) 21 , b ) 91 , c ) 11 , d ) 17 , e ) 12", - "Correct": "a", - "Explanation": "\"( 60 / 100 ) * 50 \u2013 ( 30 / 100 ) * 30 30 - 9 = 21 answer : a\"" - }, - { - "Answer": 6300, - "Options": "a ) 6300 , b ) 2765 , c ) 6000 , d ) 1298 , e ) 1261", - "Correct": "a", - "Explanation": "\"x * 12 : 2 x * 6 : 3 x * 4 1 : 1 : 1 1 / 3 * 18900 = 6300 answer : a\"" - }, - { - "Answer": 621, - "Options": "a ) 621 , b ) 652 , c ) 660 , d ) 690 , e ) 693", - "Correct": "a", - "Explanation": "\"= 598 / 1.3 \u2217 1.35 = 621 = 621 answer is a\"" - }, - { - "Answer": 89.4, - "Options": "a ) 92.5 % , b ) 89.4 % , c ) 85.2 % , d ) 96.8 % , e ) 78.9 %", - "Correct": "b", - "Explanation": "\"total number of fruits shopkeeper bought = 600 + 400 = 1000 number of rotten oranges = 15 % of 600 = 15 / 100 \u00d7 600 = 9000 / 100 = 90 number of rotten bananas = 4 % of 400 = 16 therefore , total number of rotten fruits = 90 + 16 = 106 therefore number of fruits in good condition = 1000 - 106 = 894 therefore percentage of fruits in good condition = ( 894 / 1000 \u00d7 100 ) % = ( 89400 / 1000 ) % = 89.4 % answer : b\"" - }, - { - "Answer": 208.04597701149424, - "Options": "a ) a ) 182 , b ) b ) 208 , c ) c ) 220 , d ) d ) 224 , e ) e ) 302", - "Correct": "b", - "Explanation": "\"if x is the original number of employees , then after 13 % reduction in employees number is . 87 x but we are given . 87 x = 181 x = 208 so the original number of employees is 208 correct answer - b\"" - }, - { - "Answer": 1275, - "Options": "a ) $ 900 , b ) $ 1275 , c ) $ 1200 , d ) $ 1300 , e ) $ 1060", - "Correct": "b", - "Explanation": "total tax for the year = 42,500 x 4 % = 1700 as stated annual tax is prorated as per the duration of stay . prorated tax = 1700 ( 9 / 12 ) = 1275 answer b" - }, - { - "Answer": 6, - "Options": "a ) 6 , b ) 8 , c ) 7 , d ) 4 , e ) 2", - "Correct": "a", - "Explanation": "\"90 % - - - - 10 150 % - - - - ? 90 / 150 * 10 = 6 answer : a\"" - }, - { - "Answer": 152.38095238095238, - "Options": "a ) 110 , b ) 120 , c ) 130 , d ) 152 , e ) 150", - "Correct": "d", - "Explanation": "\"he secured 42 marks nd fail by 22 marks so total marks for pass the examinatn = 64 let toal marks x x * 42 / 100 = 64 x = 152 answer : d\"" - }, - { - "Answer": 2, - "Options": "a ) 6 , b ) 3 , c ) 2 , d ) 4 , e ) 5", - "Correct": "c", - "Explanation": "total fleet - - 20 end of year 2000 - - ( retires 5 and buys 6 ) total fleet - - 21 ( 15 old 6 new ) . end of year 2001 - - ( retires 5 and buys 6 ) total fleet - - 22 ( 10 old 12 new ) . answer is c - - after 2 years the company has a total of 22 cars ( 10 old 12 new ) , the old cars are already less than 50 % of its fleet ." - }, - { - "Answer": 138.14078125000015, - "Options": "a ) $ 138.14 , b ) $ 150.12 , c ) $ 142.65 , d ) $ 152 , e ) $ 164.12", - "Correct": "a", - "Explanation": "\"principle = $ 500 rate = 5 % yearly amount = 500 * ( 1 + 5 / 100 ) ^ 5 = 500 * 21 / 20 * 21 / 20 * 21 / 20 * 21 / 20 * 21 / 20 = $ 638.14 c . i . = 638.14 - 500 = $ 138.14 answer is a\"" - }, - { - "Answer": 312.49999999999994, - "Options": "a ) rs . 312.5 , b ) rs . 154.75 , c ) rs . 156.25 , d ) rs . 158 , e ) none", - "Correct": "a", - "Explanation": "\"solution present worth = rs . [ 338 / ( 1 + 4 / 100 ) \u00b2 ] = rs . ( 338 x 25 / 26 x 25 / 26 ) = rs . 312.5 answer a\"" - }, - { - "Answer": 1750, - "Options": "a ) 1200 , b ) 1750 , c ) 1050 , d ) 1570 , e ) 1005", - "Correct": "b", - "Explanation": "\"cp * ( 60 / 100 ) = 1050 cp = 17.5 * 100 = > cp = 1750 answer : b\"" - }, - { - "Answer": 35, - "Options": "a ) 21 % , b ) 25 % , c ) 69 % , d ) 35 % , e ) 19 %", - "Correct": "d", - "Explanation": "\"let the price be 100 . the price becomes 150 after a 50 % markup . now a discount of 10 % on 150 . profit = 135 - 100 35 % answer d\"" - }, - { - "Answer": 268.3333333333333, - "Options": "a ) 337.33 , b ) 280.33 , c ) 299.33 , d ) 268.33 , e ) 289.33", - "Correct": "d", - "Explanation": "\"x * ( 85 / 100 ) = ( 460 - x ) 119 / 100 x = 280 answer : d\"" - }, - { - "Answer": 20, - "Options": "a ) 25 years , b ) 28 years , c ) 10 years , d ) 20 years , e ) 21 years", - "Correct": "d", - "Explanation": "\"let the initial sum be x then , amount = 2 x ( because sum will be double ) amount = principal + s . i 2 x = x + s . i s . i = x s . i = ( p * r * t ) / 100 x = ( x * 5 * t ) / 100 therefore , t = 20 years answer : d\"" - }, - { - "Answer": 296.07843137254906, - "Options": "a ) rs . 960 , b ) rs . 840 , c ) rs . 296 , d ) rs . 760 , e ) none", - "Correct": "c", - "Explanation": "\"solution t . d = ( b . g x 100 / r x t ) = rs . ( 100 x 100 / 17 x 3 ) = rs . 196 . b . d = rs ( 196 + 100 ) = rs . 296 . answer c\"" - }, - { - "Answer": 8.16, - "Options": "a ) 4.16 , b ) 5.16 , c ) 7.16 , d ) 8.16 , e ) 9.16", - "Correct": "d", - "Explanation": "\"explanation : 100 cm is read as 104 cm . a 1 = ( 100 \u00d7 100 ) cm 2 = 10000 and a 2 = ( 104 \u00d7 104 ) cm 2 = 10816 ( a 2 - a 1 ) = 10816 - 10000 = 816 = > 816 / 10000 * 100 = 8.16 answer : d\"" - }, - { - "Answer": 12.5, - "Options": "a ) 6.5 % , b ) 8.5 % , c ) 10.5 % , d ) 12.5 % , e ) 14.5 %", - "Correct": "d", - "Explanation": "the percent of jasmine in the resulting solution is : ( amount of jasmine ) / ( total volume ) ( 0.05 ( 90 ) + 8 ) / 100 = 12.5 / 100 = 12.5 % the answer is d ." - }, - { - "Answer": 500, - "Options": "a ) 500 , b ) 505 , c ) 510 , d ) 515 , e ) 525", - "Correct": "a", - "Explanation": "a 500 to pass the exam ravish needs 200 + 200 = 400 marks . = > ( 400 / 80 ) * 100 = 500" - }, - { - "Answer": 20, - "Options": "a ) 45 , b ) 34 , c ) 20 , d ) 76 , e ) 54", - "Correct": "c", - "Explanation": "let q get 1 unit . 25 % of 1 unit = 1 / 4 = 0.25 p gets ( 1 + 0.25 ) i . e . , 1.25 units . difference = ( 1.25 - 1 ) = 0.25 required percentage = 0.25 / 1.25 * 100 = 1 / 5 * 100 = 20 answer : c" - }, - { - "Answer": 4.166666666666666, - "Options": "a ) 7.14 , b ) 7.41 , c ) 4.71 , d ) 4.17 , e ) none of them", - "Correct": "d", - "Explanation": "\"selling price = rs 100 : then cost price = rs 96 : profit = rs 4 . profit = { ( 4 / 96 ) * 100 } % = 4.17 % answer is d .\"" - }, - { - "Answer": 1610, - "Options": "a ) s . 1090 , b ) s . 1610 , c ) s . 1190 , d ) s . 1202 , e ) s . 1092", - "Correct": "b", - "Explanation": "\"s . p . = 92 % of rs . 1750 = rs . 92 x 1750 / 100 = rs . 1610 answer : option b\"" - }, - { - "Answer": 7.333333333333333, - "Options": "a ) 7.3 % , b ) 10.5 % , c ) 11 % , d ) 12.5 % , e ) none", - "Correct": "a", - "Explanation": "\"sol . let c . p . = rs . 100 . then , marked price = rs . 110 , s . p . = rs . 99 . \u2234 discount % = [ 11 / 150 * 100 ] % = 7.3 % answer a\"" - }, - { - "Answer": 323, - "Options": "a ) 297 , b ) 879 , c ) 323 , d ) 762 , e ) 269", - "Correct": "c", - "Explanation": "\"400 * ( 85 / 100 ) * ( 95 / 100 ) = 323 answer : c\"" - }, - { - "Answer": 32, - "Options": "a ) s . 42 , b ) s . 46 , c ) s . 40 , d ) s . 41 , e ) s . 32", - "Correct": "e", - "Explanation": "\"800 * ( 20 / 100 ) = 160 - - - - 5 ? - - - - 1 = > rs . 32 answer : e\"" - }, - { - "Answer": 0.455, - "Options": "a ) 0.555 d , b ) 0.765 d , c ) 0.455 d , d ) 0.785 d , e ) 0.805 d", - "Correct": "c", - "Explanation": "\"effective discount = a + b + ab / 100 = - 35 - 30 + ( - 35 ) ( - 30 ) / 100 = - 54.5 sale price = d * ( 1 - 54.5 / 100 ) sale price = . 455 * d answer ( c )\"" - }, - { - "Answer": 552.0404016, - "Options": "a ) 150 , b ) 550 , c ) 760 , d ) 450 , e ) 260", - "Correct": "b", - "Explanation": "( 500 * 5 * 2 ) / 100 = 50 500 + 50 = 550 answer : b" - }, - { - "Answer": 10000, - "Options": "a ) rs . 6000 , b ) rs . 9000 , c ) rs . 10800 , d ) rs . 10000 , e ) rs . 9980", - "Correct": "d", - "Explanation": "\"let actual price was 100 . after three successive discount this will become , 100 = = 20 % discount = > 80 = = 10 % discount = > 72 = = 5 % discount = 68.4 now compare , 68.4 = 6840 1 = 6840 / 68.4 100 = ( 6840 * 100 ) / 68.4 = rs . 10,000 . answer : option d\"" - }, - { - "Answer": 162, - "Options": "a ) 144 , b ) 153 , c ) 162 , d ) 171 , e ) 180", - "Correct": "c", - "Explanation": "\"44 + 28 + 10 = 82 % 100 \u2013 82 = 18 % 900 * 18 / 100 = 162 the answer is c .\"" - }, - { - "Answer": 35, - "Options": "a ) 2.5 % , b ) 15 % , c ) 25 % , d ) 35 % , e ) 250 %", - "Correct": "d", - "Explanation": "\"answer = d 14 a / 100 = 40 b / 100 b = 14 a / 40 = 35 a / 100 = 35 %\"" - }, - { - "Answer": 4.75, - "Options": "a ) 6 , b ) 6.25 , c ) 7.25 , d ) 7.5 , e ) 4.75", - "Correct": "e", - "Explanation": "\"required run rate = 222 - ( 3.2 x 10 ) = 190 = 4.75 40 40 e\"" - }, - { - "Answer": 22.000000000000007, - "Options": "a ) 22 % , b ) 25 % , c ) 26 % , d ) 28 % , e ) 35 %", - "Correct": "a", - "Explanation": "if the total quantity was 100 then 40 x 10 % + 60 x 30 % = 22 this profit will remain same for any total quantity unless the % of products remains the same . hence ' a ' is the answer" - }, - { - "Answer": 80, - "Options": "a ) 80 , b ) 110 , c ) 112 , d ) 120 , e ) 160", - "Correct": "a", - "Explanation": "\"solution to earn rs . 10 , money invested = rs . 100 . to earn rs . 8 , money invested = rs . ( 100 / 10 x 8 ) = rs . 80 . \u00e2 \u02c6 \u00b4 market value of rs . 100 stock = rs . 80 answer a\"" - }, - { - "Answer": 600, - "Options": "a ) 400 , b ) 420 , c ) 480 , d ) 500 , e ) 600", - "Correct": "e", - "Explanation": "\"minimum no of mail to be sent for getting 300 responses at 50 % = 300 / 0.5 = 600 option e\"" - }, - { - "Answer": 16.64, - "Options": "a ) 6.64 % , b ) 16.64 % , c ) 15.64 % , d ) 26.64 % , e ) 10.64 %", - "Correct": "b", - "Explanation": "\"percentage error in calculated area = ( 8 + 8 + ( 8 \u00d7 8 ) / 100 ) % = 16.64 % answer : b\"" - }, - { - "Answer": 153.99999999999997, - "Options": "a ) 80 , b ) 95 , c ) 105 , d ) 120 , e ) 154", - "Correct": "e", - "Explanation": "\"set up equation : x = total number of workers 176 = 0,4 * 2 / 3 * x + 0,8 * 1 / 3 * x 176 = 16 / 30 x x = 330 330 - 176 = 154 answer e\"" - }, - { - "Answer": 1.42, - "Options": "a ) 1.42 % , b ) 1.9 % , c ) 10 % , d ) 15 % , e ) 19 %", - "Correct": "a", - "Explanation": "\"i think there is a typo in question . it should have been ` ` by weight liquid ' x ' makes up . . . . . ` ` weight of liquid x = 0.8 % of weight of a + 1.8 % of weight of b when 200 gms of a and 700 gms of b is mixed : weight of liquid x = ( 0.8 * 200 ) / 100 + ( 1.8 * 700 ) / 100 = 14.2 gms % of liquid x in resultant mixture = ( 14.2 / 1000 ) * 100 = 1.42 % a\"" - }, - { - "Answer": 2800.0000000000027, - "Options": "a ) 2197 , b ) 2800 , c ) 1750 , d ) 2267 , e ) 1262", - "Correct": "b", - "Explanation": "\"explanation : c . i . = [ 4000 * ( 1 + 10 / 100 ) 2 - 4000 ] = ( 4000 * 11 / 10 * 11 / 10 - 4000 ) = rs . 840 . sum = ( 420 * 100 ) / ( 3 * 5 ) = rs . 2800 answer : b\"" - }, - { - "Answer": 25500, - "Options": "a ) rs . 22500 , b ) rs . 25500 , c ) rs . 26000 , d ) rs . 28000 , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : question seems a bit tricky , but it is very simple . just calculate all cost price , then get 150 % of cp . c . p . = 11000 + 5000 + 1000 = 17000 150 % of 17000 = 150 / 100 * 17000 = 25500 option b\"" - }, - { - "Answer": 20, - "Options": "a ) 22 , b ) 99 , c ) 27 , d ) 28 , e ) 20", - "Correct": "e", - "Explanation": "\"speed ratio = 1 : 5 / 4 = 4 : 5 time ratio = 5 : 4 1 - - - - - - - - 5 4 - - - - - - - - - ? 20 m . answer : e\"" - }, - { - "Answer": 150, - "Options": "a ) 165 , b ) 170 , c ) 175 , d ) 150 , e ) 185", - "Correct": "d", - "Explanation": "\"assume that face value = rs . 100 as it is not given to earn rs . 8 , money invested = rs . 100 to earn rs . 12 , money invested = 100 \u00d7 12 / 8 = rs . 150 ie , market value of the stock = rs . 150 answer is d .\"" - }, - { - "Answer": 1200, - "Options": "a ) 900 , b ) 1200 , c ) 1500 , d ) 1800 , e ) 2100", - "Correct": "b", - "Explanation": "\"let v be the total number of votes . 0.4 v = 480 v = 1200 the answer is b .\"" - }, - { - "Answer": 6, - "Options": "a ) 6 , b ) 15 , c ) 20 , d ) 24 , e ) 30", - "Correct": "a", - "Explanation": "\"60 liters of a 45 % hno 3 solution means hno 3 = 27 liters in 60 liters of the solution . now , let x be the pure hno 3 added . as per question , 27 + x = 50 % of ( 60 + x ) or x = 6 . hence , a\"" - }, - { - "Answer": 30000, - "Options": "a ) 30000 , b ) 40000 , c ) 50000 , d ) 60000 , e ) 70000", - "Correct": "a", - "Explanation": "\"let first parrt is x and second part is y then x + y = 50000 - - - - - - - - - - eq 1 total profit = profit on x + profit on y 7000 = ( x * 10 * 1 ) / 100 + ( y * 20 * 1 ) / 100 70000 = x + 2 y - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - eq 2 70000 = 50000 + y so y = 20000 then x = 50000 - 20000 = 30000 first part = 30000 answer : a\"" - }, - { - "Answer": 700, - "Options": "a ) 770 , b ) 712 , c ) 720 , d ) 740 , e ) 700", - "Correct": "e", - "Explanation": "\"( 30 / 100 ) * x \u2013 ( 60 / 100 ) * 650 = 190 2 / 7 x = 210 x = 700 answer : e\"" - }, - { - "Answer": 5304.5, - "Options": "a ) $ 5300.50 , b ) $ 5304.50 , c ) $ 5405.50 , d ) $ 5604.50 , e ) $ 5805.50", - "Correct": "b", - "Explanation": "\"the amount in the account after 6 months is 1.03 * 1.03 ( $ 5,000 ) = $ 5304.50 . the answer is b .\"" - }, - { - "Answer": 330.00000000000006, - "Options": "a ) 360 , b ) 280 , c ) 320 , d ) 330 , e ) 350", - "Correct": "d", - "Explanation": "solution : let us assume there are 100 students in the institute . then , number of boys = 60 and , number of girls = 40 further , 15 % of boys get fee waiver = 9 boys 7.5 % of girls get fee waiver = 3 girls total = 12 students who gets fee waiver but , here given 90 students are getting fee waiver . so we compare 12 = 90 so , 1 = 90 / 12 = 7.5 now number of students who are not getting fee waiver = 51 boys and 37 girls . 50 % concession = 25.5 boys and 18.5 girls ( i . e . total 44 ) . hence , required students = 44 * 7.5 = 330 . answer : option d" - }, - { - "Answer": 312.5, - "Options": "a ) 312 , b ) 500 , c ) 887 , d ) 299 , e ) 132", - "Correct": "a", - "Explanation": "\"explanation : let the total sale be rs . x . then , 4 % . of x = 12.50 = ( 4 / 100 * x ) = 12.5 < = > x = 312.5 . answer : a\"" - }, - { - "Answer": 50, - "Options": "a ) 10.22 % , b ) 20.22 % , c ) 21.22 % , d ) 50 % , e ) ca n ' t be calculated", - "Correct": "d", - "Explanation": "\"the owner buys 100 kg but actually gets 120 kg ; the owner sells 100 kg but actually gives 80 kg ; profit : ( 120 - 80 ) / 80 * 100 = ~ 50 % answer : d .\"" - }, - { - "Answer": 200, - "Options": "a ) 200 minutes , b ) 240 minutes , c ) 220 minutes , d ) 210 minutes , e ) 77 minutes", - "Correct": "a", - "Explanation": "\"time taken to reach = 6400 / 32 = 200 minutes answer : a\"" - }, - { - "Answer": 1152, - "Options": "a ) 1152 , b ) 230 , c ) 960 , d ) 780 , e ) 400", - "Correct": "a", - "Explanation": "\"c . p . = rs . x . then , 832 - x = x - 448 2 x = 1280 = > x = 640 required s . p . = 180 % of rs . 640 = 180 / 100 * 640 = rs . 1152 . a\"" - }, - { - "Answer": 13.636363636363626, - "Options": "a ) 10 % , b ) 13.6 % , c ) 25 % , d ) 20 % , e ) 30 %", - "Correct": "b", - "Explanation": "\"c . p . = $ 110 s . p . = $ 125 gain = $ 15 gain % = 15 / 110 * 100 = 13.6 % answer is b\"" - }, - { - "Answer": 1135, - "Options": "a ) a ) 1000 , b ) b ) 1055 , c ) c ) 1065 , d ) d ) 1135 , e ) e ) 1080", - "Correct": "d", - "Explanation": "\"cost of 8 kg grapes = 80 \u00d7 8 = 640 . cost of 9 kg of mangoes = 55 \u00d7 9 = 495 . total cost he has to pay = 640 + 495 = 1135 . d )\"" - }, - { - "Answer": 7, - "Options": "a ) 1 kmph , b ) 4 kmph , c ) 5 kmph , d ) 7 kmph , e ) 8 kmph", - "Correct": "d", - "Explanation": "\"ds = 26 us = 12 s = ? s = ( 26 - 12 ) / 2 = 7 kmph answer : d\"" - }, - { - "Answer": 51136.36363636364, - "Options": "a ) rs . 21136.36 , b ) rs . 31136.36 , c ) rs . 51136.36 , d ) rs . 61136.36 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : s . p = rs . 54,000 . gain earned = 20 % c . p = rs . [ 100 / 120 \u00e3 \u2014 54000 ] = rs . 45000 this is the price the first person sold to the second at at loss of 12 % . now s . p = rs . 45000 and loss = 12 % c . p . rs . [ 100 / 88 \u00e3 \u2014 45000 ] = rs . 51136.36 correct option : c\"" - }, - { - "Answer": 17.5, - "Options": "a ) 10 , b ) 17.5 , c ) 25 , d ) 12 , e ) 14.5", - "Correct": "b", - "Explanation": "\"s . i = ( p * r * t ) / 100 140 = 800 r / 100 r = 140 / 8 = 17.5 % answer b\"" - }, - { - "Answer": 18451.2, - "Options": "a ) 14567 , b ) 18451 , c ) 18789 , d ) 18786 , e ) 14400", - "Correct": "b", - "Explanation": "\"formula : ( after = 100 denominator ago = 100 numerator ) 12000 \u00d7 124 / 100 \u00d7 124 / 100 = 18451 b\"" - }, - { - "Answer": 2500, - "Options": "a ) 550 , b ) 2500 , c ) 250 , d ) 3000 , e ) 400", - "Correct": "b", - "Explanation": "\"by investing $ 136 , income obtained = $ 50 . by investing $ 6800 , income obtained = $ [ ( 50 / 136 ) * 6800 ] = $ 2500 . answer b .\"" - }, - { - "Answer": 30, - "Options": "a ) 10 min , b ) 20 min , c ) 30 min , d ) 40 min , e ) none of these", - "Correct": "c", - "Explanation": "explanation : since x and y move in the same direction they cross each other when there is a difference of two round between the two . relative speed of x and y = 4 - 2 = 2 . time taken to complete one round at this speed = 1 / 2 hour = 30 minutes answer : c" - }, - { - "Answer": 2.1428571428571423, - "Options": "a ) 1.5 , b ) 1.75 , c ) 2.14 , d ) 2.34 , e ) 2.64", - "Correct": "c", - "Explanation": "\"let the total solution is 150 l with 80 l water 70 l syrup . to make 30 % syrup solution , the result solution must have 105 l syrup and 45 l syrup . therefore we are taking 25 l of syrup from initial solution and replacing with water . using urinary method : 70 l syrup in 150 l solution 25 l syrup in 53.6 l solution we started by multiplying 10 now to get to the result we need to divide by 25 = > amount of solution to be replaced with water = ( 53.6 / 25 ) = 2.14 . correct option : c\"" - }, - { - "Answer": 9680, - "Options": "a ) 9680 , b ) 4280 , c ) 2789 , d ) 7892 , e ) 2792", - "Correct": "a", - "Explanation": "\"( 8000 * 3 * 2 ) / 100 = 480 9200 - - - - - - - - 9680 answer : a\"" - }, - { - "Answer": 396.88, - "Options": "a ) 298 , b ) 237 , c ) 342 , d ) 396 , e ) 291", - "Correct": "d", - "Explanation": "\"550 * ( 88 / 100 ) * ( 82 / 100 ) = 396 answer : d\"" - }, - { - "Answer": 0.45454545454545453, - "Options": "a ) 3 / 5 , b ) 5 / 11 , c ) 1 / 24 , d ) 4 / 9 , e ) 2 / 5", - "Correct": "b", - "Explanation": "\"an empty wooden vessel weighs 12 % of its total weight when filled with paint : vessel = 0.12 ( vessel + paint ) ; 12 v = v + p ( so the weight of completely filled vessel is 12 v ) p = 11 v ( so the weight of the paint when the vessels is completely filled is 11 v ) . the weight of a partially filled vessel is one half that of a completely filled vessel : v + p ' = 1 / 2 * 12 v ; p ' = 5 v ( so the weight of the paint when the vessels is partially filled is 5 v ) . what fraction of the vessel is filled ? so , we need to find the ratio of the weight of the paint when the vessel iscompletely filledto the weight of the paint when the vessel ispartially filled : p ' / p = 5 v / 11 v = 5 / 11 . answer : b .\"" - }, - { - "Answer": 1500, - "Options": "a ) 191 , b ) 355 , c ) 737 , d ) 840 , e ) 1,500", - "Correct": "e", - "Explanation": "\"let weight of side of beef before processing = x ( 50 / 100 ) * x = 750 = > x = ( 750 * 100 ) / 50 = 1500 answer e\"" - }, - { - "Answer": 0.9666666666666667, - "Options": "a ) 29 / 30 , b ) 4 / 49 , c ) 2 / 7 , d ) 45 / 49 , e ) 13 / 14", - "Correct": "a", - "Explanation": "\"20 students are interested , 5 are not interested prob = 1 - 5 c 2 / 25 c 2 = 1 - ( 5 * 4 / ( 25 * 24 ) ) = 1 - 1 / 30 = 29 / 30 answer : a\"" - }, - { - "Answer": 4.25, - "Options": "a ) 8.55 , b ) 6.55 , c ) 8.75 , d ) 7.75 , e ) 4.25", - "Correct": "e", - "Explanation": "( i ) let x % of 50 = 2.125 . then , ( x / 100 ) * 50 = 2.125 x = ( 2.125 * 2 ) = 4.25 answer is e ." - }, - { - "Answer": 200, - "Options": "a ) 167.5 , b ) 150 , c ) 200 , d ) 112.5 , e ) 212.5", - "Correct": "c", - "Explanation": "explanation : the person borrows rs . 5000 for 2 years at 4 % p . a . simple interest simple interest that he needs to pay = prt / 100 = 5000 \u00d7 4 \u00d7 2 / 100 = 400 he also lends it at 8 % p . a for 2 years simple interest that he gets = prt / 100 = 5000 \u00d7 8 \u00d7 2 / 100 = 800 his overall gain in 2 years = rs . 800 - rs . 400 = rs . 400 his overall gain in 1 year = 400 / 2 = rs . 200 answer : option c" - }, - { - "Answer": 13500, - "Options": "a ) $ 3,750 , b ) $ 5,600 , c ) $ 13,500 , d ) $ 15,000 , e ) $ 22,500", - "Correct": "c", - "Explanation": "\"x = 8 % 112 / x years = 112 / 8 = 14 years now , money triples every 14 years therefore , in 14 yrs , if $ 1500 triples to $ 4500 , in 28 years , it will again triple to $ 4500 * 3 = $ 13,500 answer c\"" - }, - { - "Answer": 1800, - "Options": "a ) 648 , b ) 1800 , c ) 2700 , d ) 10800 , e ) none", - "Correct": "b", - "Explanation": "\"let the number of required bottles be x machine 6 : 10 time 1 : 4 = : : 270 : x therefore 6 x 1 x x = 10 x 4 x 270 = > x = ( 10 x 4 x 270 ) / ( 6 ) = > x = 1800 answer : option b\"" - }, - { - "Answer": 100, - "Options": "a ) 60 , b ) 80 , c ) 100 , d ) 120 , e ) 140", - "Correct": "c", - "Explanation": "\"30 % of the members have passed the test , thus 70 % have not passed the test . we also know that 30 + 40 = 70 members have not passed the test , thus 0.7 * total = 70 - - > total = 100 . answer : c .\"" - }, - { - "Answer": 200, - "Options": "a ) 180 , b ) 200 , c ) 220 , d ) 240 , e ) 260", - "Correct": "b", - "Explanation": "\"60 % = 120 marks 1 % = 2 marks 100 % = 200 marks the answer is b .\"" - }, - { - "Answer": 11.420689655172414, - "Options": "a ) 33.56 , b ) 23.68 , c ) 11.42 , d ) 9.56 , e ) 23.55", - "Correct": "c", - "Explanation": "\"92 % - - - - 18 145 % - - - - ? 92 / 145 * 18 = 11.42 answer : c\"" - }, - { - "Answer": 404600, - "Options": "a ) 355600 , b ) 355800 , c ) 404600 , d ) 356800 , e ) 357000", - "Correct": "c", - "Explanation": "\"total number of invalid votes = 15 % of 560000 = 15 / 100 \u00d7 560000 = 8400000 / 100 = 84000 total number of valid votes 560000 \u2013 84000 = 476000 percentage of votes polled in favour of candidate a = 85 % therefore , the number of valid votes polled in favour of candidate a = 85 % of 476000 = 85 / 100 \u00d7 476000 = 40460000 / 100 = 404600 c )\"" - }, - { - "Answer": 5266.233766233766, - "Options": "a ) rs . 4,900 , b ) rs . 5,000 , c ) rs . 5,100 , d ) rs . 5266 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : let us assume mr . karan borrowed amount is rs . a . ( the principal ) by formula of simple interest , s . i . = prt / 100 where p = the principal , r = rate of interest as a % , t = time in years s . i . = ( p * 6 * 9 ) / 100 = 54 p / 100 amount = principal + s . i . 8110 = p + ( 54 p / 100 ) 8110 = ( 100 p + 54 p ) / 100 8110 = 154 p / 100 p = ( 8110 * 100 ) / 154 = rs . 5266.233 answer d\"" - }, - { - "Answer": 55, - "Options": "a ) 5 % , b ) 10 % , c ) 25 % , d ) 40 % , e ) 55 %", - "Correct": "e", - "Explanation": "\"assuming that the technician makes a round - trip of 40 miles ( each way is 20 miles ) , then the technician would have completed 20 miles + 2 miles ( 10 % of the remaining 20 miles ) . therefore , the total is 22 miles . 22 miles / 40 miles is 55 % of the entire trip . answer : e\"" - }, - { - "Answer": 100, - "Options": "a ) 16 % , b ) 100 % , c ) 17 % , d ) 17.61 % , e ) 17.56 %", - "Correct": "b", - "Explanation": "\"increase = ( 60 / 60 ) * 100 = ( 6 / 6 ) * 100 = 100 % . b\"" - }, - { - "Answer": 36, - "Options": "a ) 277 , b ) 36 , c ) 64 , d ) 72 , e ) none of these", - "Correct": "b", - "Explanation": "\"? % of 360 = 129.6 or , ? = 129.6 \u00d7 100 / 360 = 36 answer b\"" - }, - { - "Answer": 4160, - "Options": "a ) 3200 , b ) 4000 , c ) 3250 , d ) 4160 , e ) 3985", - "Correct": "d", - "Explanation": "\"ratio of investment , as investments is for different time . investment x number of units of time . ratio of investments x : y : z = 36000 : 42000 : 48000 = > 6 : 7 : 8 . x = 6 x 12 months = 72 , y = 7 x 12 = 84 , z = 8 x 8 = 64 = > 18 : 21 : 16 . ratio of investments = > x : y : z = 18 : 21 : 16 . investment ratio = profit sharing ratio . z = 14300 \u00e3 \u2014 16 / 55 = rs . 4160 . share of z in the profit is rs . 4160 . option d\"" - }, - { - "Answer": 25, - "Options": "a ) 6.25 , b ) 5.5 , c ) 25 , d ) 15 , e ) 6", - "Correct": "c", - "Explanation": "\"explanation : runs scored in the first 10 overs = 10 \u00d7 3.2 = 32 total runs = 282 remaining runs to be scored = 282 - 32 = 250 remaining overs = 10 run rate needed = 250 / 10 = 25 answer : option c\"" - }, - { - "Answer": 100, - "Options": "a ) 16 , b ) 127 , c ) 12 , d ) 18 , e ) 100", - "Correct": "e", - "Explanation": "\"percentage of profit = 25 / 25 * 100 = 100 % answer : e\"" - }, - { - "Answer": 4480, - "Options": "a ) rs . 4480 , b ) rs . 5275 , c ) rs . 6275 , d ) rs . 6725 , e ) none of these", - "Correct": "a", - "Explanation": "\"cp = sp * ( 100 / ( 100 + profit % ) ) = 5600 ( 100 / 125 ) = rs . 4480 . answer : a\"" - }, - { - "Answer": 6000, - "Options": "a ) 6000 , b ) 2999 , c ) 1000 , d ) 2651 , e ) 1971", - "Correct": "a", - "Explanation": "x * ( 110 / 100 ) * ( 95 / 100 ) = 6270 x * ( 11 / 10 ) * ( 1 / 100 ) = 66 x = 6000 answer : a" - }, - { - "Answer": 54, - "Options": "a ) 54 , b ) 55 , c ) 56 , d ) 57 , e ) none of these", - "Correct": "a", - "Explanation": "solution p . w = rs . ( 270 - 45 ) = rs . 225 s . i on rs . 270 = rs . ( 45 / 225 x 270 ) = rs . 54 . answer a" - }, - { - "Answer": 20, - "Options": "a ) 10 % , b ) 15 % , c ) 25 % , d ) 20 % , e ) 30 %", - "Correct": "d", - "Explanation": "\"c . p . = $ 100 s . p . = $ 120 gain = $ 20 gain % = 20 / 100 * 100 = 20 % answer is d\"" - }, - { - "Answer": 625, - "Options": "a ) 600 , b ) 887 , c ) 625 , d ) 654 , e ) 712", - "Correct": "c", - "Explanation": "\"cost price = rs . 500 profit = 25 % of 500 = rs . 125 selling price = cost price + profit = 500 + 125 = 625 answer : c\"" - }, - { - "Answer": 5, - "Options": "a ) 5 : 1 , b ) 17 : 3 , c ) 5 : 6 , d ) 17 : 7 , e ) 3 : 8", - "Correct": "a", - "Explanation": "\"explanation : in this type of question as time frame for both investors is equal then just get the ratio of their investments . p : q = 75000 : 15000 = 75 : 15 = 5 : 1 option a\"" - }, - { - "Answer": 41, - "Options": "a ) s . 41.00 , b ) s . 51.22 , c ) s . 51.219 , d ) s . 41.18 , e ) s . 51.11", - "Correct": "a", - "Explanation": "\"explanation : sum = ( 40 * 100 ) / ( 2 * 5 ) = rs . 400 amount = [ 400 * ( 1 + 5 / 100 ) 2 ] = rs . 441 c . i . = ( 441 - 400 ) = rs . 41 answer : a\"" - }, - { - "Answer": 112.00000000000001, - "Options": "a ) 80 % , b ) 112 % , c ) 120 % , d ) 124.2 % , e ) 138 %", - "Correct": "b", - "Explanation": "\"x = profits r = revenue x / r = 0,1 x = 10 r = 100 2009 : r = 80 x / 80 = 0,14 = 14 / 100 x = 80 * 14 / 100 x = 11.2 11.2 / 10 = 1,12 = 112 % , answer b\"" - }, - { - "Answer": 4.04, - "Options": "a ) 4.04 , b ) 4.02 , c ) 4.01 , d ) 4.05 , e ) 4.06", - "Correct": "a", - "Explanation": "\"formula for calculation of percentage error is : = ( x \u2212 y \u2212 ( xy ) / 100 ) % = ( 2 + 2 + ( 2 \u00d7 2 ) / 100 ) % = 4.04 % answer is a .\"" - }, - { - "Answer": 50, - "Options": "a ) 25 , b ) 37.5 , c ) 50 , d ) 62.5 , e ) 75", - "Correct": "c", - "Explanation": "\"answer is 75 % total women = 70 % total men = 40 % total tenured = 70 % ( both men and women ) therefore , women tenured + women professors + men tenured = 90 % men tenured = 20 % but question wants to know the percent of men that are tenured 20 % / 40 % = 50 % c\"" - }, - { - "Answer": 455, - "Options": "a ) 455 , b ) 277 , c ) 269 , d ) 261 , e ) 281", - "Correct": "a", - "Explanation": "\"cost price = rs . 350 profit = 30 % of 350 = rs . 105 selling price = cost price + profit = 350 + 105 = 455 answer : a\"" - }, - { - "Answer": 8, - "Options": "a ) $ 4 , b ) $ 8 , c ) $ 12 , d ) $ 16 , e ) $ 432", - "Correct": "b", - "Explanation": "\"solution amount ( ci ) = p + ( 1 + r / n ) ^ nt = 5000 + ( 1 + 0.08 / 2 ) ^ 2 = 5408 amount ( si ) = p + ptr / 100 = 5000 + ( 5000 * 1 * 8 / 100 ) = 5400 difference = 5408 - 5400 = 8 $ answer : b\"" - }, - { - "Answer": 46, - "Options": "a ) 44 , b ) 48 , c ) 46 , d ) 52 , e ) 56", - "Correct": "c", - "Explanation": "\"number of passengers on flight = 120 number of female passengers = . 45 * 120 = 54 number of passengers in first class = ( 10 / 100 ) * 120 = 12 number of passengers in coach class = ( 90 / 100 ) * 120 = 108 number of male passengers in first class = 1 / 3 * 12 = 4 number of female passengers in first class = 12 - 4 = 8 number of female passengers in coach class = 54 - 8 = 46 answer c\"" - }, - { - "Answer": 23.913043478260867, - "Options": "a ) 22 % , b ) 23.9 % , c ) 24 % , d ) 25 % , e ) 34 %", - "Correct": "b", - "Explanation": "\"since 8 % of the customers who sample the candyare notcaught , then 88 % of the customers who sample the candyarecaught : { % of customers who sample candy } * 0.92 = 0.22 ; { % of customers who sample candy } = 0.239 . answer : b .\"" - }, - { - "Answer": 48, - "Options": "a ) s . 48 , b ) s . 50 , c ) s . 55 , d ) s . 60 , e ) s . 70", - "Correct": "a", - "Explanation": "\"( c . p . of 20 balls ) - ( s . p . of 20 balls ) = ( c . p . of 5 balls ) c . p . of 15 balls = s . p . of 20 balls = rs . 720 . c . p . of 1 ball = rs . 720 / 15 = rs . 48 . answer : option a\"" - }, - { - "Answer": 30000, - "Options": "a ) 20000 , b ) 24000 , c ) 34000 , d ) 35000 , e ) 30000", - "Correct": "e", - "Explanation": "sol = ~ s - so anju \u2019 s share = [ 5 / 9 ] x 54000 = 30000 e" - }, - { - "Answer": 300, - "Options": "a ) 334 , b ) 500 , c ) 376 , d ) 288 , e ) 300", - "Correct": "e", - "Explanation": "let the maximum marks be m then 95 % of m = 285 \u21d2 95 / 100 \u00d7 m = 285 \u21d2 m = ( 285 \u00d7 100 ) / 95 \u21d2 m = 28500 / 95 \u21d2 m = 300 therefore , maximum marks in the examinations are 300 . answer : e" - }, - { - "Answer": 0.625, - "Options": "a ) 1 / 6 , b ) 1 / 2 , c ) 5 / 8 , d ) 5 / 6 , e ) 15 / 16", - "Correct": "c", - "Explanation": "\"x - fraction of products jane inspected ( 1 - x ) - fraction of products john inspected 0.9 ( x ) + 0.5 ( 1 - x ) = 0.75 0.4 x = 0.75 - 0.5 x = 0.25 / 0.4 x = 5 / 8 therefore the answer is c : 5 / 8 .\"" - }, - { - "Answer": 22, - "Options": "a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25", - "Correct": "b", - "Explanation": "rs . 15 = 15 chocolates 15 wrappers = 5 chocolates 5 wrappers = 1 chocolate ( u have 2 wrappers with you . . ) count this wrapper with already existing wrappers = 15 + 5 + 1 + 1 = 22 chocolates . . answer : b" - }, - { - "Answer": 300, - "Options": "a ) 228 , b ) 278 , c ) 300 , d ) 500 , e ) 821", - "Correct": "c", - "Explanation": "p - 204 = ( p * 4 * 8 ) / 100 p = 300 answer : c" - }, - { - "Answer": 39.130434782608695, - "Options": "a ) 20.8 , b ) 30.4 , c ) 31.8 , d ) 39.1 , e ) 33.8", - "Correct": "d", - "Explanation": "\"$ 69 - $ 42 = 27 $ ( 27 / 69 ) * 100 = 39.13 % answer : d\"" - }, - { - "Answer": 4.999999999999982, - "Options": "a ) 15 , b ) 20 , c ) 10 , d ) 5 , e ) 8", - "Correct": "d", - "Explanation": "answer : d = 5 . assume rs . 100 to be the price at which the retailer buys from wholesaler . 50 % increase makes retail price = 150 . now 30 % decrease - > ( 1 - 30 / 100 ) * 150 = 105 . now compared to the wholesale price of 100 , 5 % increase is what will have the same effect as increasing the wholesale price ." - }, - { - "Answer": 25, - "Options": "a ) 25 % , b ) 33 1 / 3 % , c ) 83 1 / 3 % , d ) 33 4 / 3 % , e ) 73 1 / 3 %", - "Correct": "a", - "Explanation": "\"p = ( p * 4 * r ) / 100 r = 25 % answer : a\"" - }, - { - "Answer": 10, - "Options": "a ) 2 years , b ) 5 years , c ) 7 years , d ) 8 years , e ) 10 years", - "Correct": "e", - "Explanation": "\"si = simple interest = a - p = 60000 - 20000 = $ 40000 r = 100 si / pt = 100 * 40000 / 20000 * 20 = 10 years answer is e\"" - }, - { - "Answer": 4840.000000000001, - "Options": "a ) $ 4720 , b ) $ 4840 , c ) $ 4920 , d ) $ 5080 , e ) $ 5160", - "Correct": "b", - "Explanation": "\"a = ( 1 + r / 100 ) ^ n * p ( 1.1 ) ^ 2 * 5000 = 1.21 * 5000 = 4840 the answer is b .\"" - }, - { - "Answer": 36, - "Options": "a ) 22 , b ) 99 , c ) 27 , d ) 36 , e ) 20", - "Correct": "d", - "Explanation": "\"speed ratio = 1 : 9 / 8 = 8 : 9 time ratio = 9 : 8 1 - - - - - - - - 9 4 - - - - - - - - - ? 36 m . answer : d\"" - }, - { - "Answer": 160, - "Options": "a ) 120 , b ) 140 , c ) 160 , d ) 180 , e ) 200", - "Correct": "c", - "Explanation": "\"the total number of books is 300 . let x be the number of books which were loaned out . 65 % of books that were loaned out are returned . 35 % of books that were loaned out are not returned . now , there are 244 books , thus the number of un - returned books is 300 - 244 = 56 books . 0.35 x = 56 x = 160 the answer is c .\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 16 % , b ) 25 % , c ) 33 % , d ) 40 % , e ) 52 %", - "Correct": "c", - "Explanation": "\"total employed people 12 % , out of which 80 are employed males , hence 40 % are employed females . ( employed females ) / ( total employed people ) = 40 / 120 = 1 / 3 = 33 % answer : c .\"" - }, - { - "Answer": 100, - "Options": "a ) 75 kgs , b ) 64 kgs , c ) 100 kgs , d ) 65 kgs , e ) 70 kgs", - "Correct": "c", - "Explanation": "the weight of non - water in 20 kg of dried grapes ( which is 100 - 25 = 75 % of whole weight ) will be the same as the weight of non - water in x kg of fresh grapes ( which is 100 - 85 = 15 % of whole weight ) , so 20 * 0.75 = x * 0.15 - - > x = 100 . answer : c" - }, - { - "Answer": 760, - "Options": "a ) $ 600 , b ) $ 760 , c ) $ 850 , d ) $ 980 , e ) $ 1,140", - "Correct": "b", - "Explanation": "price of 1 ticket = 20 $ revenue generated from sales of first 10 tickets = 10 * ( 60 / 100 * 20 ) = 10 * 12 = 120 revenue generated from sales of next 20 tickets = 20 * ( 85 / 100 * 20 ) = 20 * 17 = 340 revenue generated from sales of last 15 tickets = 20 * 15 = 300 revenue generated from sales of 45 tickets = 120 + 340 + 300 = 760 $ answer b" - }, - { - "Answer": 65.00000000000001, - "Options": "a ) 9 % , b ) 10 % , c ) 11 % , d ) 12 % , e ) 65 %", - "Correct": "e", - "Explanation": "\"x discount on pony jeans , ( 0.33 - x ) discount on fox jeans . set the equation : 3 * 15 ( 0.33 - x ) + 2 * 18 x = 9 - - > x = 0.65 = 65 % answer : e .\"" - }, - { - "Answer": 700, - "Options": "a ) 700 , b ) 882 , c ) 799 , d ) 778 , e ) 901", - "Correct": "a", - "Explanation": "\"84 % 104 % - - - - - - - - 20 % - - - - 140 100 % - - - - ? = > rs . 700 answer : a\"" - }, - { - "Answer": 10, - "Options": "a ) 50 % , b ) 40 % , c ) 30 % , d ) 20 % , e ) 10 %", - "Correct": "e", - "Explanation": "let x be the percentage of dressing p in the new dressing . 0.3 x + 0.1 ( 1 - x ) = 0.12 0.2 x = 0.02 x = 0.1 = 10 % the answer is e ." - }, - { - "Answer": 735.0000000000009, - "Options": "a ) 630 , b ) 735 , c ) 825 , d ) 600 , e ) none of these", - "Correct": "b", - "Explanation": "\"solution = interest % for 1 st year = 10 interest % for 2 nd year = 10 + 10 % of 10 = 10 + 10 * 10 / 100 = 11 total % of interest = 10 + 11 = 21 total interest = 21 % 3500 = 3500 * ( 21 / 100 ) = 735 answer b\"" - }, - { - "Answer": 156.9230769230769, - "Options": "a ) 80 , b ) 95 , c ) 105 , d ) 156 , e ) 210", - "Correct": "d", - "Explanation": "\"set up equation : x = total number of workers 120 = 0,4 * 2 / 3 * x + 0,5 * 1 / 3 * x 120 = 13 / 30 x x = 276 276 - 120 = 156 answer d\"" - }, - { - "Answer": 175.00000000000003, - "Options": "a ) 175 , b ) 288 , c ) 277 , d ) 877 , e ) 361", - "Correct": "a", - "Explanation": "\"( 2 * 8 + 1 * 4 ) : ( 4 * 8 + 5 * 4 ) 5 : 13 5 / 18 * 630 = 175 answer : a\"" - }, - { - "Answer": 4121.608, - "Options": "a ) $ 645.56 , b ) $ 4121.60 , c ) $ 954.26 , d ) $ 745.69 , e ) $ 1020.45", - "Correct": "b", - "Explanation": "principle = $ 50000 rate = 2 % half yearly = 4 half years amount = 50000 * ( 1 + 2 / 100 ) ^ 4 = 50000 * 51 / 50 * 51 / 50 * 51 / 50 * 51 / 50 = $ 54121.60 c . i . = 54121.60 - 50000 = $ 4121.60 answer is b" - }, - { - "Answer": 972.0000000000001, - "Options": "a ) $ 972 , b ) $ 810 , c ) $ 915 , d ) $ 715 , e ) $ 795", - "Correct": "a", - "Explanation": "\"p = $ 1200 r = 10 % t = 2 years machine value after 2 years = p [ ( 1 - r / 100 ) ^ t ] = 1200 * 9 / 10 * 9 / 10 = $ 972 answer is a\"" - }, - { - "Answer": 6425, - "Options": "a ) 7297 , b ) 6425 , c ) 2871 , d ) 6725 , e ) 2981", - "Correct": "b", - "Explanation": "\"explanation : cp = sp * ( 100 / ( 100 + profit % ) ) = 7967 ( 100 / 124 ) = rs . 6425 . answer : b\"" - }, - { - "Answer": 12, - "Options": "a ) 16 , b ) 18 , c ) 17 , d ) 12 , e ) 12", - "Correct": "d", - "Explanation": "\"suppose he has 100 items . let c . p . of each item be re . 1 . total cost = rs . 100 . number of items left after theft = 80 . s . p . of each item = rs . 1.10 total sale = 1.10 * 80 = rs . 88 hence , loss % = 12 / 100 * 100 = 12 % answer : d\"" - }, - { - "Answer": 6.5, - "Options": "a ) 6 , b ) 6.5 , c ) 7.25 , d ) 7.5 , e ) 8", - "Correct": "b", - "Explanation": "\"required run rate = 262 - ( 3.2 x 10 ) = 250 = 6.5 40 40 b\"" - }, - { - "Answer": 1750, - "Options": "a ) 17523 , b ) 2788 , c ) 1750 , d ) 2787 , e ) 29899", - "Correct": "c", - "Explanation": "\"explanation : c . i . = rs . [ 4000 * ( 1 + 10 / 100 ) ^ 2 - 4000 ] = rs . 840 sum = rs . ( 420 * 100 ) / 3 * 8 = rs . 1750 \\ answer : c ) rs , 1750\"" - }, - { - "Answer": 250, - "Options": "a ) 280 , b ) 250 , c ) 260 , d ) 270 , e ) 300", - "Correct": "b", - "Explanation": "\"cp * ( 80 / 100 ) = 200 cp = 2.5 * 100 = > cp = 250 answer : b\"" - }, - { - "Answer": 306, - "Options": "a ) 298 , b ) 237 , c ) 306 , d ) 876 , e ) 291", - "Correct": "c", - "Explanation": "\"480 * ( 85 / 100 ) * ( 75 / 100 ) = 306 answer : c\"" - }, - { - "Answer": 6000, - "Options": "a ) 20 , b ) 120 , c ) 360 , d ) 6000 , e ) 820", - "Correct": "d", - "Explanation": "\"let the number x . then , 20 % of x = 1000 x = ( 1000 * 100 ) / 20 = 5000 120 % of x = ( 120 / 100 * 5000 ) = 6000 . answer : d\"" - }, - { - "Answer": 1145, - "Options": "a ) a ) 1040 , b ) b ) 1145 , c ) c ) 1055 , d ) d ) 1060 , e ) e ) 1075", - "Correct": "b", - "Explanation": "\"cost of 8 kg apples = 70 \u00d7 8 = 560 . cost of 9 kg of mangoes = 65 \u00d7 9 = 585 . total cost he has to pay = 560 + 585 = 1145 . b )\"" - }, - { - "Answer": 378.675, - "Options": "a ) 288 , b ) 378 , c ) 342 , d ) 662 , e ) 262", - "Correct": "b", - "Explanation": "\"495 * ( 85 / 100 ) * ( 90 / 100 ) = 378 answer : b\"" - }, - { - "Answer": 2500, - "Options": "a ) 1050 , b ) 1220 , c ) 2500 , d ) 1060 , e ) 1110", - "Correct": "c", - "Explanation": "\"p - 900 = ( p * 8 * 8 ) / 100 p = 2500 answer : c\"" - }, - { - "Answer": 53.84615384615385, - "Options": "a ) 20 % , b ) 40 % , c ) 50 % , d ) 53.85 % , e ) 100 %", - "Correct": "d", - "Explanation": "\"we should be careful about what are we measuring % on / what is the base . . let the marked up price = 100 . . selling price = 100 - 40 % of 100 = 60 . . profit = 30 % . . therefore the wholesale purchase cost = x . . . . 1.3 x = 60 or x = 46.15 . . . marked price was 100 so . . . so answer is 53.85 % . . d\"" - }, - { - "Answer": 947.1428571428571, - "Options": "a ) 1360 , b ) 1450 , c ) 1600 , d ) 947 , e ) none", - "Correct": "d", - "Explanation": "sol . sum = s . i . * t . d . / ( s . i ) - ( t . d . ) = 85 * 78 / ( 85 - 78 ) = rs . 947 . answer d" - }, - { - "Answer": 60, - "Options": "a ) 22 , b ) 60 , c ) 99 , d ) 88 , e ) 11", - "Correct": "b", - "Explanation": "\"675 - - - - 180 100 - - - - ? = > 60 % answer : b\"" - }, - { - "Answer": 25, - "Options": "a ) 10 % , b ) 25 % , c ) 64 % , d ) 42 % , e ) 17 %", - "Correct": "b", - "Explanation": "let n be the total number of bags sold . hence n = 25 + 70 + 100 + 110 + 145 = 450 let m be the bags not sold m = 600 - n = 600 - 450 = 150 percentage bags not sold / total number of bags = 150 / 600 = 0.25 = 25 % correct answer b" - }, - { - "Answer": 20000, - "Options": "a ) 7500 , b ) 20000 , c ) 2775 , d ) 5496 , e ) 6851", - "Correct": "b", - "Explanation": "\"10 % - - - - - - - - - - - l 90 % - - - - - - - - - - - w - - - - - - - - - - - - - - - - - - 80 % - - - - - - - - - - 16000 100 % - - - - - - - - - ? = > 20000 answer : b\"" - }, - { - "Answer": 10.317460317460316, - "Options": "a ) 7.6 % , b ) 8.3 % , c ) 9.6 % , d ) 10.3 % , e ) 11.5 %", - "Correct": "d", - "Explanation": "\"an easy way to solve this question is by number plugging . assume there are 100 marbles in jar b then in jar a there will be 126 marbles . now , for both jars to have equal marbles we should move 13 marbles from a to b , which is 13 / 126 = ~ 10.3 % of a . answer : d .\"" - }, - { - "Answer": 3.4999999999999254, - "Options": "a ) 8.25 , b ) 3.5 , c ) 9.0 , d ) 3.15 , e ) 2.0", - "Correct": "b", - "Explanation": "\"s . i . = ( 1400 * 10 * 1 ) / 100 = rs . 140 c . i . = [ 1400 * ( 1 + 5 / 100 ) 2 - 1400 ] = rs . 143.5 difference = ( 143.5 - 140 ) = rs . 3.50 answer : b\"" - }, - { - "Answer": 110, - "Options": "a ) 80 , b ) 90 , c ) 110 , d ) 120 , e ) 130", - "Correct": "c", - "Explanation": "\"33 1 / 3 % = 1 / 3 1 / 3 \u00d7 330 = 110 c )\"" - }, - { - "Answer": 800, - "Options": "a ) 1000 , b ) 800 , c ) 600 , d ) 700 , e ) 500", - "Correct": "b", - "Explanation": "\"volume of pool = 40 * 150 * 10 cu . ft , 80 % full = 40 * 150 * 10 * 0.8 cu . ft water is available to drain . draining capacity = 60 cu . ft / min therefore time taken = 40 * 150 * 10 * 0.8 / 60 min = 800 min b\"" - }, - { - "Answer": 3.2499999999999307, - "Options": "a ) 8.0 , b ) 3.25 , c ) 9.15 , d ) 3.13 , e ) 2.0", - "Correct": "b", - "Explanation": "s . i . = ( 1300 * 10 * 1 ) / 100 = rs . 130 c . i . = [ 1300 * ( 1 + 5 / 100 ) 2 - 1300 ] = rs . 133.25 difference = ( 133.25 - 130 ) = rs . 3.25 answer : b" - }, - { - "Answer": 0.19999999999999996, - "Options": "a ) 1 / 30 , b ) 1 / 5 , c ) 2 / 3 , d ) 3 / 4 , e ) 4 / 5", - "Correct": "b", - "Explanation": "\"45 % is 20 % - points above 25 % and 5 % - points below 50 % . thus the ratio of 25 % - solution to 50 % - solution is 1 : 4 . 1 / 5 of the original paint was replaced . the answer is b .\"" - }, - { - "Answer": 120, - "Options": "a ) 200 , b ) 120 , c ) 100 , d ) 65 , e ) 50", - "Correct": "b", - "Explanation": "\"( 45 / 100 ) z = ( 72 / 100 ) y and y = ( 75 / 100 ) x i . e . y = ( 3 / 4 ) x i . e . ( 45 / 100 ) z = ( 72 / 100 ) * ( 3 / 4 ) x i . e . z = ( 72 * 3 ) x / ( 45 * 4 ) i . e . z = ( 1.2 ) x = ( 120 / 100 ) x i . e . z is 120 % of x answer : option b\"" - }, - { - "Answer": 0.6666666666666667, - "Options": "a ) 1 / 30 , b ) 1 / 5 , c ) 2 / 3 , d ) 3 / 4 , e ) 4 / 5", - "Correct": "c", - "Explanation": "30 % is 10 % - points above 20 % and 20 % - points below 50 % . thus the ratio of 25 % - solution to 50 % - solution is 2 : 1 . 2 / 3 of the original paint was replaced . the answer is c ." - }, - { - "Answer": 1240, - "Options": "a ) 1400 , b ) 1240 , c ) 1200 , d ) 1100 , e ) 1500", - "Correct": "b", - "Explanation": "\"cp * ( 50 / 100 ) = 620 cp = 12.4 * 100 = > cp = 1240 answer : b\"" - }, - { - "Answer": 2100, - "Options": "a ) rs . 880 , b ) rs . 890 , c ) rs . 895 , d ) rs . 2100 , e ) none", - "Correct": "d", - "Explanation": "\"let p = principal a - amount we have a = p ( 1 + r / 100 ) 3 and ci = a - p atq 993 = p ( 1 + r / 100 ) 3 - p ? p = 3000 / - now si @ 10 % on 3000 / - for 7 yrs = ( 3000 x 10 x 7 ) / 100 = 2100 / - answer : d .\"" - }, - { - "Answer": 8925, - "Options": "a ) $ 8829 , b ) $ 2840 , c ) $ 6578 , d ) $ 7782 , e ) $ 8925", - "Correct": "e", - "Explanation": "\"e 8925 principal = $ 100 x 4016.25 / 9 x 5 = $ 401625 / 45 = $ 8925 .\"" - }, - { - "Answer": 0.65, - "Options": "a ) 13 / 20 , b ) 15 / 20 , c ) 14 / 20 , d ) 12 / 20 , e ) 11 / 20", - "Correct": "a", - "Explanation": "new networks = 8 already employed networks = 20 total networks = 28 computer advt . from uni . a = 28 * ( 75 / 100 ) = 21 out 28 networks 21 came from uni . a among these 21 we know 8 are newly hired so 21 - 8 = 13 networks among previously employed networks came from uni . a answer is : 13 / 20 answer : a" - }, - { - "Answer": 1400, - "Options": "a ) 1100 , b ) 800 , c ) 1400 , d ) 1200 , e ) none of them", - "Correct": "c", - "Explanation": "\"let c ' s capital = rs . x . then , b ' s capital = rs . ( 2 / 3 ) x a \u2019 s capital = rs . ( 3 x ( 2 / 3 ) . x ) = rs . 2 x . ratio of their capitals = 2 x : ( 2 / 3 ) x : x = 6 : 2 : 3 . hence , b ' s share = rs . ( 7700 x ( 2 / 11 ) ) = rs . 1400 . answer is c\"" - }, - { - "Answer": 455, - "Options": "a ) 455 , b ) 570 , c ) 480 , d ) 520 , e ) 550", - "Correct": "a", - "Explanation": "\"let the total number of valid votes be x . 70 % of x = 70 / 100 * x = 7 x / 10 number of votes secured by the other candidate = x - 7 x / 100 = 3 x / 10 given , 7 x / 10 - 3 x / 10 = 182 = > 4 x / 10 = 182 = > 4 x = 1820 = > x = 455 . answer : a\"" - }, - { - "Answer": 15.555555555555555, - "Options": "a ) 18 , b ) 14 , c ) 20 , d ) 15 , e ) 15.55", - "Correct": "e", - "Explanation": "\"450 - - - - 70 100 - - - - ? = > 15.55 % answer : e\"" - }, - { - "Answer": 660, - "Options": "a ) 643 , b ) 652 , c ) 660 , d ) 690 , e ) 693", - "Correct": "c", - "Explanation": "= 693 / 1.26 \u2217 1.2 = 660 = 660 answer is c" - }, - { - "Answer": 49.99999999999999, - "Options": "a ) $ 45 , b ) $ 48 , c ) $ 50 , d ) $ 54 , e ) $ 56", - "Correct": "c", - "Explanation": "\"0.8 * 0.9 * cost price = $ 36 cost price = $ 50 the answer is c .\"" - }, - { - "Answer": 2000, - "Options": "a ) 1299 , b ) 2788 , c ) 2000 , d ) 2981 , e ) 2881", - "Correct": "c", - "Explanation": "explanation : let c . p . of each horse be rs . x and c . p . of each cow be rs . y . then , 4 x + 9 y = 13400 - - ( i ) and , 10 % of 4 x + 20 % of 9 y = 1880 2 / 5 x + 9 / 5 y = 1880 = > 2 x + 9 y = 9400 - - ( ii ) solving ( i ) and ( ii ) , we get : x = 2000 and y = 600 . cost price of each horse = rs . 2000 . answer : c" - }, - { - "Answer": 400, - "Options": "a ) s . 550 , b ) s . 1000 , c ) s . 600 , d ) s . 200 , e ) s . 400", - "Correct": "e", - "Explanation": "\"at 5 % more rate , the increase in s . i for 10 years = rs . 200 ( given ) so , at 5 % more rate , the increase in si for 1 year = 200 / 10 = rs . 20 / - i . e . rs . 20 is 5 % of the invested sum so , 1 % of the invested sum = 20 / 5 therefore , the invested sum = 20 \u00d7 100 / 5 = rs . 400 answer : e\"" - }, - { - "Answer": 1.6, - "Options": "a ) 0.004 % , b ) 0.04 % , c ) 0.4 % , d ) 1.6 % , e ) 20 %", - "Correct": "d", - "Explanation": "\"in 10 days 10 * 0.04 = 0.4 ounces of water evaporated , which is 0.4 / 25 \u00e2 \u02c6 \u2014 100 = 1.6 of the original amount of water . answer : d .\"" - }, - { - "Answer": 15008.000000000004, - "Options": "a ) rs . 15000 , b ) rs . 6000 , c ) rs . 25000 , d ) rs . 10000 , e ) rs . 18000", - "Correct": "a", - "Explanation": "let the amount lent out at 8 % p . a . be rs . a = > ( a * 8 ) / 100 + [ ( 10000 - a ) * 10 ] / 100 = 850 = > a = rs . 15000 . answer : a" - }, - { - "Answer": 12600, - "Options": "a ) 1344 , b ) 3360 , c ) 8400 , d ) 12600 , e ) 67200", - "Correct": "d", - "Explanation": "\"8 machines produce 560 in 1 min 8 machines produce 560 * 6 in 6 min 30 machine produce 560 * 6 * ( 30 / 8 ) in 6 minutes 560 * 6 * 30 / 8 = 12600 answer is d .\"" - }, - { - "Answer": 50000, - "Options": "a ) rs . 10000 , b ) rs . 20000 , c ) rs . 30000 , d ) rs . 40000 , e ) rs . 50000", - "Correct": "e", - "Explanation": "shekhar : rajeev : jatin = ( 25000 x 12 + 35000 x 12 + 45000 x 12 ) : ( 35000 x 24 ) : ( 35000 x 12 ) = 1260000 : 840000 : 420000 = 3 : 2 : 1 . rajeev \u2019 s share = rs . ( 150000 \u00d7 2 / 6 ) = rs . 50000 answer e" - }, - { - "Answer": 2.857142857142857, - "Options": "a ) 4 % , b ) 2.50 % , c ) 6.20 % , d ) 5 % , e ) 2.85 %", - "Correct": "e", - "Explanation": "\"explanation : let the principal ( p ) be x then , simple interest ( si ) = x / 5 time ( t ) = 7 years rate of interest per annum ( r ) = ( 100 \u00d7 si ) / pt = ( 100 \u00d7 ( x / 5 ) / ( x \u00d7 7 ) = 20 / 7 = 2.85 % answer : option e\"" - }, - { - "Answer": 199.99999999999997, - "Options": "a ) 160 , b ) 150 , c ) 100 , d ) 80 , e ) 200", - "Correct": "e", - "Explanation": "\"say there are a gallons of fuel a in the tank , then there would be 200 - a gallons of fuel b . the amount of ethanol in a gallons of fuel a is 0.12 a ; the amount of ethanol in 200 - a gallons of fuel b is 0.16 ( 200 - a ) ; since the total amount of ethanol is 24 gallons then 0.12 a + 0.16 ( 200 - a ) = 24 - - > a = 200 . answer : e .\"" - }, - { - "Answer": 800, - "Options": "a ) 800 , b ) 882 , c ) 772 , d ) 652 , e ) 271", - "Correct": "a", - "Explanation": "\"cost price = rs . 500 profit = 60 % of 500 = rs . 300 selling price = cost price + profit = 500 + 300 = 800 answer : a\"" - }, - { - "Answer": 22.476960000000417, - "Options": "a ) 24.19 , b ) 24.12 , c ) 22.1 , d ) 24.1 , e ) 22.5", - "Correct": "e", - "Explanation": "\"s . i . = ( 1000 * 6 * 4 ) / 100 = rs . 240 c . i . = [ 1000 * ( 1 + 6 / 100 ) 4 - 1000 ] = rs . 262.5 difference = ( 262.5 - 240 ) = rs . 22.5 answer : e\"" - }, - { - "Answer": 6.5, - "Options": "a ) 6.5 , b ) 6.22 , c ) 6.29 , d ) 6.39 , e ) 6.13", - "Correct": "a", - "Explanation": "\"required run rate = [ 292 - ( 3.2 * 10 ) ] / 40 = 260 / 40 = 6.5 answer : a\"" - }, - { - "Answer": 24, - "Options": "a ) 18.75 , b ) 19.75 , c ) 20.75 , d ) 21.75 , e ) 24", - "Correct": "e", - "Explanation": "\"60 * 84 / 100 = 50.40 lit milk that is 9.60 lit water let x lit water will be added then ( 60 + x ) * 60 / 100 = 50.40 so x = 18.75 answer : e\"" - }, - { - "Answer": 168, - "Options": "a ) s . 177 , b ) s . 168 , c ) s . 144 , d ) s . 129 , e ) s . 112", - "Correct": "b", - "Explanation": "\"given that sp = rs . 119 and loss = 15 % cp = [ 100 ( sp ) ] / ( 100 - l % ) = ( 100 * 119 ) / 85 = rs . 140 . to get 20 % profit , new sp = [ ( 100 + p % ) cp ] / 100 = ( 140 * 120 ) / 100 = rs . 168 answer : b\"" - }, - { - "Answer": 248.625, - "Options": "a ) 298 , b ) 237 , c ) 248 , d ) 876 , e ) 291", - "Correct": "c", - "Explanation": "\"390 * ( 85 / 100 ) * ( 75 / 100 ) = 248 answer : c\"" - }, - { - "Answer": 56, - "Options": "a ) 42 , b ) 48 , c ) 56 , d ) 64 , e ) 72", - "Correct": "c", - "Explanation": "200 are sophomores . the number of freshmen is 600 - 160 - 0.23 ( 800 ) = 256 the answer is c ." - }, - { - "Answer": 0.968888888888889, - "Options": "a ) $ 0.94 , b ) $ 0.97 , c ) $ 0.98 , d ) $ 1.00 , e ) $ 1.20", - "Correct": "b", - "Explanation": "\"assume the manager bought 100 tomatoes . cost price = 80 given : 10 % are damaged - - > available tomatoes to sell = 90 90 * x - 80 = 0.09 * 80 90 x - 80 = 7.2 90 x = 87.2 x = 87.2 / 90 = 0.968 x is slightly under 0.9688 = 0.97 answer : b\"" - }, - { - "Answer": 175, - "Options": "a ) 165 , b ) 170 , c ) 175 , d ) 180 , e ) 185", - "Correct": "c", - "Explanation": "\"assume that face value = rs . 100 as it is not given to earn rs . 8 , money invested = rs . 100 to earn rs . 14 , money invested = 100 \u00d7 14 / 8 = rs . 175 ie , market value of the stock = rs . 175 answer is c .\"" - }, - { - "Answer": 32, - "Options": "a ) 40 % , b ) 25 % , c ) 35 % , d ) 30 % , e ) 32 %", - "Correct": "e", - "Explanation": "\"investment 1000 dollars 1 st year total gained = 100 total amount end of first year = 1100 second year account increased by 20 % = 1100 * 0.2 = 220 therefore total amount by second year end = 1320 so total percentage increase in money = ( 1320 - 1000 ) * 100 / 1000 = 32 % correct answer e = 32 %\"" - }, - { - "Answer": 61, - "Options": "a ) 61 % , b ) 62 % , c ) 65 % , d ) 64 % , e ) 50 %", - "Correct": "a", - "Explanation": "say dhoni ' s earning last month was $ 100 . dhoni spent 20 percent of his earning last month on rent - - > $ 20 on rent ; 5 percent less than what he spent on rent to purchase a new dishwasher - - > $ 20 * 0.95 = $ 19 on the dishwasher . left over amount 100 - ( 20 + 19 ) = $ 61 answer : a" - }, - { - "Answer": 100, - "Options": "a ) s . 50 , b ) s . 70 , c ) s . 100 , d ) s . 80 , e ) s . 60", - "Correct": "c", - "Explanation": "\"explanation : 25 % of 400 = > 25 / 100 * 400 = rs . 100 answer : c\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 33.33 % , b ) 40 % , c ) 50 % , d ) 66.67 % , e ) 70 %", - "Correct": "a", - "Explanation": "\"here , selling price of 10 m cloth is obtained as profit . profit of 10 m cloth = ( s . p . of 40 m cloth ) \u2013 ( c . p . of 40 m cloth ) selling price of 30 m cloth = selling price of 40 m of cloth let cost of each metre be rs . 100 . therefore , cost price of 30 m cloth = rs . 3000 and s . p . of 30 m cloth = rs . rs . 4000 profit % = 10 / 30 \u00d7 100 = 33.33 % profit of 33.33 % was made by the merchant . a\"" - }, - { - "Answer": 90000, - "Options": "a ) rs . 90000 , b ) rs . 36000 , c ) rs . 50000 , d ) rs . 45000 , e ) none of these", - "Correct": "a", - "Explanation": "savings 10 % - 9000 expenditure 90 % - 81000 total - 90000 answer : a" - }, - { - "Answer": 43, - "Options": "a ) 16 , b ) 17 , c ) 43 , d ) 19 , e ) 20", - "Correct": "c", - "Explanation": "( 62 / 100 ) * 150 \u00e2 \u20ac \u201c ( 20 / 100 ) * 250 93 - 50 = 43 answer : c" - }, - { - "Answer": 229.41176470588235, - "Options": "a ) a ) 182 , b ) b ) 208 , c ) c ) 220 , d ) d ) 229 , e ) e ) 302", - "Correct": "d", - "Explanation": "\"if x is the original number of employees , then after 15 % reduction in employees number is . 85 x but we are given . 85 x = 195 x = 229 so the original number of employees is 229 correct answer - d\"" - }, - { - "Answer": 50, - "Options": "a ) 70 % , b ) 60 % , c ) 50 % , d ) 40 % , e ) 30 %", - "Correct": "c", - "Explanation": "increase = ( 60 / 120 ) * 100 = ( 1 / 2 ) * 100 = 50 % . c" - }, - { - "Answer": 400, - "Options": "a ) 289 , b ) 400 , c ) 200 , d ) 288 , e ) 111", - "Correct": "b", - "Explanation": "\"explanation : let c . p . be rs . x . then , 5 % of x = 360 - 340 = 20 x / 20 = 20 = > x = 400 answer : b\"" - }, - { - "Answer": 21, - "Options": "a ) 19 % , b ) 10 % , c ) 21 % , d ) 16 % , e ) none", - "Correct": "c", - "Explanation": "\"solution : given ratio of ram and shayam ' s weight = 6 : 5 hence , ( x - 15 ) / ( 15 - 10 ) = 6 / 5 or , x = 21 % . answer : option c\"" - }, - { - "Answer": 53.84615384615385, - "Options": "a ) 28 % , b ) 54 % , c ) 45 % , d ) 72 % , e ) 78 %", - "Correct": "b", - "Explanation": "\"total population = 80 ( assume ) . 6 / 8 * 80 = 60 people from montague . 2 / 8 * 80 = 20 people from capulet . 0.2 * 60 = 12 people from montague support juliet . 0.7 * 20 = 14 people from capulet support juliet . the probability that a juliet supporter chosen at random resides in capulet is 14 / ( 12 + 14 ) = ~ 54 answer : b .\"" - }, - { - "Answer": 36, - "Options": "a ) 4 , b ) 5 , c ) 36 , d ) 2 , e ) 7", - "Correct": "c", - "Explanation": "\"explanation : let the price be = rs . 100 , and number of units sold = 100 then , sale value = rs . ( 100 \u00d7 100 ) = rs . 10000 new sale value = rs . ( 170 \u00d7 80 ) = rs . 13600 increase % = 3600 / 10000 \u00d7 100 = 36 % answer : c\"" - }, - { - "Answer": 21000, - "Options": "a ) $ 5670 , b ) $ 18900 , c ) $ 21000 , d ) $ 13500 , e ) $ 27000", - "Correct": "c", - "Explanation": "a : b : c = 8 + 9 + 10 = 27 ; c ' share = 10 / 27 of the total profit . c will get = 10 / 27 * $ 56700 = $ 21000 . answer : c" - }, - { - "Answer": 41.666666666666664, - "Options": "a ) 38 , b ) 39 , c ) 40 , d ) 41 , e ) 42", - "Correct": "e", - "Explanation": "\"soln : - 8 x = 45 - - > 27 / 25 * x = 45 - - > x = 45 * 25 / 27 = 125 / 3 = ~ 42 . answer : e .\"" - }, - { - "Answer": 175, - "Options": "a ) 100 , b ) 110 , c ) 120 , d ) 175 , e ) 150", - "Correct": "d", - "Explanation": "\"75 % of 600 = 75 / 100 \u00d7 700 = 450 therefore , the number of vacant seats = 700 - 450 = 175 . answer : d\"" - }, - { - "Answer": 4.800000000000001, - "Options": "a ) 3.6 , b ) 4.8 , c ) 3.5 , d ) 2.3 , e ) 4.4", - "Correct": "b", - "Explanation": "explanation : question of this type looks a bit typical , but it is too simple , as below . . . it will be 12 * 40 / 100 = 4.8 answer : option b" - }, - { - "Answer": 5, - "Options": "a ) 2 % , b ) 5 % , c ) 14 % , d ) 28 % , e ) 63 %", - "Correct": "b", - "Explanation": "\"case 1 : ( 7 / 80 ) = x / 100 x = 9 % case 2 : ( 9 / 63 ) = y / 100 y = 14 % so percent increase is = ( y - x ) = ( 14 - 9 ) % = 5 % answer is b\"" - }, - { - "Answer": 49.999999999999986, - "Options": "a ) 80 , b ) 70 , c ) 56 , d ) 50 , e ) 105", - "Correct": "d", - "Explanation": "\"we are first given that a team won 60 percent of its first 100 games . this means the team won 0.6 x 100 = 60 games out of its first 100 games . we are next given that the team won 50 percent of its remaining games . if we use variable t to represent the total number of games in the season , then we can say t \u2013 100 equals the number of remaining games in the season . thus we can say : 0.5 ( t \u2013 100 ) = number of wins for remaining games 0.5 t \u2013 50 = number of wins for remaining games lastly , we are given that team won 70 percent of all games played in the season . that is , they won 0.7 t games in the entire season . with this we can set up the equation : number of first 100 games won + number of games won for remaining games = total number of games won in the entire season 60 + 0.5 t \u2013 50 = 0.7 t 10 = 0.2 t 100 = 2 t 50 = t answer is d .\"" - }, - { - "Answer": 225, - "Options": "a ) $ 150 , b ) $ 220 , c ) $ 225 , d ) $ 182 , e ) $ 189", - "Correct": "c", - "Explanation": "\"s . i . = 3600 * 25 * 2 / 100 = $ 1800 c . i . = 3600 * ( 1 + 25 / 100 ) ^ 2 - 3600 = $ 2025 difference = 2025 - 1800 = $ 225 answer is c\"" - }, - { - "Answer": 5, - "Options": "a ) 4 % , b ) 5 % , c ) 6 % , d ) 7 % , e ) 8 %", - "Correct": "b", - "Explanation": "\"difference in c . i . and s . i for 2 years = $ 615 - $ 600 = $ 15 s . i for one year = $ 300 s . i . on $ 300 for 1 year = $ 15 rate = ( 100 * 15 ) / ( 300 ) = 5 % the answer is b .\"" - }, - { - "Answer": 4416, - "Options": "a ) 1978 , b ) 2707 , c ) 7728 , d ) 4416 , e ) 7291", - "Correct": "d", - "Explanation": "\"2 : 3 = > 2 : 3 9600 * 10 / 100 = 960 9600 - 960 = 8640 8640 * 2 / 5 = 3456 + 960 = 4416 answer : d\"" - }, - { - "Answer": 11.8125, - "Options": "a ) rs . 11.81 , b ) rs . 12 , c ) rs . 12.25 , d ) rs . 12.31 , e ) none", - "Correct": "a", - "Explanation": "\"solution 85 : 9 = 105 : x x = ( 9 \u00d7 105 / 80 ) = rs . 11.81 hence , s . p per kg = rs . 11.81 answer a\"" - }, - { - "Answer": 2.5, - "Options": "a ) 4.1 % , b ) 7 % , c ) 2.5 % , d ) 2.8 % , e ) 3 %", - "Correct": "c", - "Explanation": "explanation : let the principal ( p ) be x then , simple interest ( si ) = x / 5 time ( t ) = 8 years rate of interest per annum ( r ) = ( 100 \u00d7 si ) / pt = ( 100 \u00d7 ( x / 5 ) / ( x \u00d7 8 ) = 20 / 8 = 2.5 % answer : option c" - }, - { - "Answer": 17.446043165467625, - "Options": "a ) 16.8 % , b ) 17.4 % , c ) 17.9 % , d ) 18.5 % , e ) 19.1 %", - "Correct": "b", - "Explanation": "given : selling price of an apple = 23 - - > cost price = 23 / 1.15 = 20 selling price of an orange = 10 - - > cost price = 10 / 1.25 = 8 a > o 23 * ( a ) + 10 * ( o ) = 653 653 - 23 * ( a ) has to be divisible by 10 - - > units digit has to be 0 values of a can be 1 , 11 , 21 , 31 , . . . . - - > 1 can not be the value between 11 and 21 , if a = 11 , o = 30 - - > not possible if a = 21 , o = 17 - - > possible cost price = 20 * 21 + 8 * 17 = 420 + 136 = 556 profit = 653 - 556 = 97 profit % q = ( 97 / 556 ) * 100 = 17.4 % answer : b" - }, - { - "Answer": 4064, - "Options": "a ) 3200 , b ) 4064 , c ) 3250 , d ) 3825 , e ) 3985", - "Correct": "b", - "Explanation": "\"ratio of investment , as investments is for different time . investment x number of units of time . ratio of investments x : y : z = 36000 : 42000 : 48000 = > 6 : 7 : 8 . x = 6 x 12 months = 72 , y = 7 x 12 = 84 , z = 8 x 8 = 64 = > 18 : 21 : 16 . ratio of investments = > x : y : z = 18 : 21 : 16 . investment ratio = profit sharing ratio . z = 13970 \u00e3 \u2014 16 / 55 = rs . 4064 . share of z in the profit is rs . 4064 . option b\"" - }, - { - "Answer": 252, - "Options": "a ) 252 , b ) 280 , c ) 360 , d ) 450 , e ) none", - "Correct": "a", - "Explanation": "\"sol . sum = b . d . * t . d . / b . d . - t . d . = rs . [ 42 * 36 / 42 - 36 ] = rs . [ 42 * 36 / 6 ] = rs . 252 answer a\"" - }, - { - "Answer": 418.9090909090909, - "Options": "a ) rs . 432 , b ) rs . 422 , c ) rs . 419 , d ) rs . 442 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : f = rs . 2560 td = rs . 360 pw = f - td = 2560 - 360 = rs . 2200 true discount is the simple interest on the present value for unexpired time = > simple interest on rs . 2200 for unexpired time = rs . 360 banker ' s discount is the simple interest on the face value of the bill for unexpired time = simple interest on rs . 2160 for unexpired time = 360 / 2200 \u00d7 2560 = 0.16 \u00d7 2560 = rs . 419 answer : option c\"" - }, - { - "Answer": 5000, - "Options": "a ) 5000 , b ) 4500 , c ) 3200 , d ) 6000 , e ) 1592", - "Correct": "a", - "Explanation": "\"principal = ( 100 * 2000 ) / ( 4 * 10 ) = rs . 5000 answer : a\"" - }, - { - "Answer": 80.57142857142857, - "Options": "a ) 81.57 % , b ) 36.5 % , c ) 80.67 % , d ) 56.5 % , e ) 80.57 %", - "Correct": "e", - "Explanation": "\"let n be the total number of books sold . hence n = 62 + 62 + 60 + 48 + 40 = 272 let m be the books not sold m = 1400 - n = 1400 - 272 = 1128 percentage books not sold / total number of books = 1128 / 1200 = 0.81 = 80.57 % correct answer e\"" - }, - { - "Answer": 139.99999999999997, - "Options": "a ) 80 % , b ) 105 % , c ) 140 % , d ) 124.2 % , e ) 138 %", - "Correct": "c", - "Explanation": "\"0,14 r = x / 100 * 0.1 r answer c\"" - }, - { - "Answer": 6.09, - "Options": "a ) 6.99 % , b ) 6.89 % , c ) 6.08 % , d ) 6.09 % , e ) 6.19 %", - "Correct": "d", - "Explanation": "\"amount of rs . 100 for 1 year when compounded half - yearly = [ 100 * ( 1 + 3 / 100 ) 2 ] = rs . 106.09 effective rate = ( 106.09 - 100 ) = 6.09 % answer : d\"" - }, - { - "Answer": 24.999996875000388, - "Options": "a ) 25 , b ) 36 , c ) 40 , d ) 50 , e ) 48", - "Correct": "a", - "Explanation": "production cost per article : $ 60 * ( 100 % - 20 % ) / 20 = $ 2.40 required production costs for a loss of 20 % : $ 50 * ( 100 % + 20 % ) = $ 60 number of articles to be sold for $ 60 to incur a 20 % loss : $ 60 / $ 2.40 = 25 thus , solution a is correct ." - }, - { - "Answer": 17.446043165467625, - "Options": "a ) 16.8 % , b ) 17.4 % , c ) 17.9 % , d ) 18.5 % , e ) 19.1 %", - "Correct": "b", - "Explanation": "\"given : selling price of an apple = 23 - - > cost price = 23 / 1.15 = 20 selling price of an orange = 10 - - > cost price = 10 / 1.25 = 8 a > o 23 * ( a ) + 10 * ( o ) = 653 653 - 23 * ( a ) has to be divisible by 10 - - > units digit has to be 0 values of a can be 1 , 11 , 21 , 31 , . . . . - - > 1 can not be the value between 11 and 21 , if a = 11 , o = 30 - - > not possible if a = 21 , o = 17 - - > possible cost price = 20 * 21 + 8 * 17 = 420 + 136 = 556 profit = 653 - 556 = 97 profit % = ( 97 / 556 ) * 100 = 17.4 % answer : b\"" - }, - { - "Answer": 16071.42857142857, - "Options": "a ) 22000 , b ) 27000 , c ) 16071 , d ) 16789 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : 28 % of income = rs . 4500 100 % of income = 4500 x 100 / 28 = rs . 16071 answer : c\"" - }, - { - "Answer": 861.5384615384615, - "Options": "a ) 191 , b ) 355 , c ) 737 , d ) 861 , e ) 1,560", - "Correct": "d", - "Explanation": "\"let weight of side of beef before processing = x ( 65 / 100 ) * x = 560 = > x = ( 560 * 100 ) / 65 = 861 answer d\"" - }, - { - "Answer": 8925, - "Options": "a ) rs 4462.50 , b ) rs . 8032.50 , c ) rs . 8900 , d ) rs . 8925 , e ) none", - "Correct": "d", - "Explanation": "\"solution principal = rs . ( 100 * 4016.25 / 9 * 5 ) = rs . ( 401625 / 45 ) = rs . 8925 answer d\"" - }, - { - "Answer": 3750, - "Options": "a ) 3750 , b ) 3600 , c ) 7400 , d ) 7500 , e ) none of these", - "Correct": "a", - "Explanation": "\"explanation : cost price = 1200 / ( 0.16 + 0.16 ) = 1200 / 0.32 = rs . 3750 answer a\"" - }, - { - "Answer": 210, - "Options": "a ) 200 , b ) 210 , c ) 220 , d ) 225 , e ) 230", - "Correct": "b", - "Explanation": "( 3500 * 2 * 3 ) / 100 = > 210 answer : b" - }, - { - "Answer": 8945, - "Options": "a ) 5768 , b ) 8925 , c ) 2345 , d ) 8945 , e ) 8723", - "Correct": "d", - "Explanation": "\"principal = ( 100 x 4025.25 ) / ( 9 x 5 ) = 402525 / 45 = 8945 . answer d\"" - }, - { - "Answer": 16, - "Options": "a ) 8 % decrease , b ) 8 % increase , c ) 16 % decrease , d ) 16 % increase , e ) no change", - "Correct": "c", - "Explanation": "\"let x be the original salary . the final salary is 0.6 ( 1.4 x ) = 0.84 x the answer is c .\"" - }, - { - "Answer": 500, - "Options": "a ) 750 , b ) 500 , c ) 800 , d ) 850 , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : note : majority ( 40 % ) = difference in votes polled to win ( 70 % ) & defeated candidates ( 30 % ) 40 % = 70 % - 30 % 40 % - - - - - > 200 ( 40 * 5 = 200 ) 100 % - - - - - > 500 ( 100 * 5 = 500 ) answer : option b\"" - }, - { - "Answer": 50, - "Options": "a ) 4 % , b ) 18 % , c ) 36 % , d ) 40 % , e ) 50 %", - "Correct": "e", - "Explanation": "given w = 0.6 u , u = 0.6 y , z = 0.54 y , substituting , w = 2 / 3 z - - - - > z = 1.5 w and thus z is 50 % greater than w . e is the correct answer ." - }, - { - "Answer": 17.647058823529413, - "Options": "a ) 10 % , b ) 17.6 % , c ) 13.7 % , d ) 15.1 % , e ) 12.3 %", - "Correct": "b", - "Explanation": "\"let the original salary be $ 100 new salary = $ 85 increase on 85 = 15 increase on 100 = 15 / 85 * 100 = 17.6 % answer is b\"" - }, - { - "Answer": 3, - "Options": "a ) 0.004 % , b ) 0.04 % , c ) 0.40 % , d ) 3 % , e ) 40 %", - "Correct": "d", - "Explanation": "\"total amount of water evaporated each day during a 50 - day period = . 006 * 50 = . 006 * 100 / 2 = . 6 / 2 = . 3 percent of the original amount of water evaporated during this period = ( . 3 / 10 ) * 100 % = 3 % answer d\"" - }, - { - "Answer": 121.50000000000001, - "Options": "a ) 80 , b ) 90 , c ) 95 , d ) 121.5 , e ) 108", - "Correct": "d", - "Explanation": "assume a value at the beginning of 2007 . as this is a % question , assume p = 100 . at the end of 2007 it becmae = 1.2 * 100 = 120 at the end of 2008 it decreased by 25 % = 120 * . 75 = 90 at the end of 2009 it increased by 35 % = 90 * 1.35 = 121.5 thus ratio = 121.5 / 100 = 1.215 ( in % terms = 121.5 % ) . thus d is the correct answer ." - }, - { - "Answer": 13.3, - "Options": "a ) 13.3 % , b ) 9.22 % , c ) 9 % , d ) 14 % , e ) 12 %", - "Correct": "a", - "Explanation": "\"( 100 % - 15 % ) * ( 100 % + 2 % ) = 0.85 * 1.02 = 13.3 % the weigh in records your weight loss at 13.3 % ! the answer is a\"" - }, - { - "Answer": 25, - "Options": "a ) 35 % , b ) 25 % , c ) 20 % , d ) 30 % , e ) none of these", - "Correct": "b", - "Explanation": "here , x = - 50 and y = 50 therefore , the net % change in value = ( x + y + xy / 100 ) % = [ - 50 + 50 + ( - 50 x 50 ) / 100 ] % or - 25 % since the sign is negative , there is loss of 25 % answer : b" - }, - { - "Answer": 10, - "Options": "a ) 14 sec , b ) 10 sec , c ) 12 sec , d ) 8 sec , e ) 5 sec", - "Correct": "b", - "Explanation": "explanation : time taken to cover the entire length = tot . dist / resultant speed = 140 / ( 11 + 3 ) = 10 sec answer : b" - }, - { - "Answer": 381.48, - "Options": "a ) 298 , b ) 237 , c ) 342 , d ) 381 , e ) 291", - "Correct": "d", - "Explanation": "510 * ( 88 / 100 ) * ( 85 / 100 ) = 381 answer : d" - }, - { - "Answer": 22.5, - "Options": "a ) rs . 20.25 , b ) rs . 22.50 , c ) rs . 25 , d ) rs . 42.75 , e ) none", - "Correct": "b", - "Explanation": "\"solution s . i . = rs . 202.50 , r = 4.5 % , t = 1 year . principal = rs . ( 100 x 202.50 / 4.5 x 1 ) = rs . 4500 . now , p = rs . 4500 , r = 5 % , t = 1 year . s . i . = rs . ( 4500 x 5 x 1 / 1000 = rs . 225 . \u2234 difference in interest = rs . ( 225 - 202.50 ) = rs . 22.50 . answer b\"" - }, - { - "Answer": 183.33333333333331, - "Options": "a ) 133 % , b ) 145 % , c ) 158 % , d ) 170 % , e ) 183 %", - "Correct": "e", - "Explanation": "\"let last year ' s salary be x . last year , sandy save 0.06 x this year , sandy saved 0.1 * 1.1 x = 0.11 x 0.11 x / 0.06 x = 11 / 6 = 1.83 = 183 % the answer is e .\"" - }, - { - "Answer": 56, - "Options": "a ) rs . 49.17 , b ) rs . 51.03 , c ) rs . 56 , d ) rs . 55.33 , e ) none of the above", - "Correct": "c", - "Explanation": "\"50 * 10 = 500 68 * 5 = 340 840 / 15 = 56 answer : c\"" - }, - { - "Answer": 2240, - "Options": "a ) 2200 , b ) 2240 , c ) 1600 , d ) 1354 , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : let p . w . be rs . x . then , s . i . on rs . x at 16 % for 9 months = rs . 240 . x \u00e3 \u2014 16 \u00e3 \u2014 ( 9 / 12 ) \u00e3 \u2014 ( 1 / 100 ) = 240 or x = 2000 . p . w . = rs . 2000 . sum due = p . w . + t . d . = rs . ( 2000 240 ) = rs . 2240 . answer : b\"" - }, - { - "Answer": 1100, - "Options": "a ) s . 600 , b ) s . 800 , c ) s . 500 , d ) s . 900 , e ) s . 1100", - "Correct": "e", - "Explanation": "\"let the cost of one toy = x . then , cost of 18 toys = 18 x . gain = 3 x . sp of 18 toys = rs . 23100 . gain = sp \u00e2 \u20ac \u201c cp 3 x = 23100 \u00e2 \u20ac \u201c 18 x 21 x = 23100 x = rs . 1100 . answer : option e\"" - }, - { - "Answer": 10.00000000000091, - "Options": "a ) 5 , b ) 2 , c ) 10 , d ) 5 , e ) 1", - "Correct": "c", - "Explanation": "6250 = d ( 100 / 4 ) 2 d = 10 answer : c" - }, - { - "Answer": 2, - "Options": "a ) 8 kmph , b ) 9 kmph , c ) 2 kmph , d ) 4 kmph , e ) 1 kmph", - "Correct": "c", - "Explanation": "\"ds = 16 us = 14 s = ? s = ( 16 - 2 ) / 2 = 2 kmph answer : c\"" - }, - { - "Answer": 350, - "Options": "a ) 0.35 , b ) 3.5 , c ) 35 , d ) 350 , e ) 3500", - "Correct": "d", - "Explanation": "first of all , let us write the information in form of equations and numbers 125 j = 5 k or 5 j = k ( i ) 150 k = 50 l or 3 k = l ( ii ) 175 l = 75 m or 7 l = 3 m ( iii ) we need to find a relation between j and m from ( i ) and ( ii ) , 15 j = l multiplying this by 7 , 105 j = 7 l = 3 m hence , 35 j = m now , we are asked : 20 % of m is equal to what percent of 200 % of j assume j = 1 , hence m = 35 20 % of m = 7 and 200 % of j = 2 20 % of m = 3.5 ( 200 % of j ) = ( 350 / 100 ) * ( 200 % of j ) hence 20 % of m = 350 % of 200 % of j . option d" - }, - { - "Answer": 1200, - "Options": "a ) 600 , b ) 720 , c ) 1080 , d ) 1200 , e ) 1440", - "Correct": "d", - "Explanation": "\"$ 120 for 2 years = $ 60 per year . extra $ 6 yearned with the compound interest is the percent yearned on percent . so , $ 6 is yearned on $ 60 , which means that the interest = 10 % . this on the other hand means that half of the savings = 60 * 10 = $ 600 . twice of that = $ 1,200 . answer : d .\"" - }, - { - "Answer": 24.3, - "Options": "a ) 72.15 , b ) 27.24 , c ) 24.25 , d ) 28.46 , e ) 20.9", - "Correct": "c", - "Explanation": "\"1080 * ( 18 / 100 ) = 194 - - - - 8 ? - - - - 1 = > rs . 24.25 answer : c\"" - }, - { - "Answer": 16, - "Options": "a ) 18 , b ) 16 , c ) 19 , d ) 15 , e ) 34", - "Correct": "b", - "Explanation": "\"explanation : relative speed = 7.5 - 5.5 = 2 kmph ( because they walk in the same direction ) distance = 32 km time = distance / speed = 32 / 2 = 16 hr answer : b\"" - }, - { - "Answer": 5.88235294117647, - "Options": "a ) 4.76 % , b ) 5.88 % , c ) 6.33 % , d ) 7.75 % , e ) 8.33 %", - "Correct": "b", - "Explanation": "in 5 years , the value grew $ 100 , so the simple interest was $ 20 per year . in 3 years , the total interest was 3 * $ 20 = $ 60 the principal is $ 400 - $ 60 = 340 . the interest rate is $ 20 / $ 340 = 1 / 17 which is about 5.88 % the answer is b ." - }, - { - "Answer": 5.555555555555555, - "Options": "a ) $ 11 , b ) $ 5 , c ) $ 45 , d ) $ 400 , e ) $ 5.5", - "Correct": "e", - "Explanation": "\"price decreased by 10 % , so 9 / 10 times , which means that original gallons bought increased 10 / 9 times . since this increase equals to 5 gallons then 45 gallons were bought originally ( 45 * 10 / 9 = 50 - - > increase 5 gallons ) . hence original price was 250 / 45 = $ 5.5 answer : e .\"" - }, - { - "Answer": 16, - "Options": "a ) 14 sec , b ) 10 sec , c ) 16 sec , d ) 8 sec , e ) 9 sec", - "Correct": "c", - "Explanation": "\"time taken to cover the entire length = tot . dist / resultant speed = 160 / ( 8 + 2 ) = 16 sec answer : c\"" - }, - { - "Answer": 8400, - "Options": "a ) s . 8400 , b ) s . 9000 , c ) s . 14000 , d ) s . 17000 , e ) s . 27000", - "Correct": "a", - "Explanation": "\"let the sum be rs . x . ( x * 15 * 2 ) / 100 - ( x * 10 * 2 ) / 100 = 840 = > 30 x / 100 - 20 x / 100 = 840 = > 10 x / 100 = 840 = > x = 8400 . answer : a\"" - }, - { - "Answer": 5.263157894736836, - "Options": "a ) 5.3 % , b ) 8.2 % , c ) 4.3 % , d ) 8.3 % , e ) 8.0 %", - "Correct": "a", - "Explanation": "he sells 950 grams of pulses and gains 50 grams . if he sells 100 grams of pulses then he will gain ( 50 / 950 ) * 100 = 5.26 4 . a software engineer has the capability of thinking 100 lines of code in five minutes and can type 100 lines of code in 10 minutes . he takes a break for five minutes after every ten minutes . how many lines of codes will he complete typing after an hour ? answer : a" - }, - { - "Answer": 41.249994843750635, - "Options": "a ) 45 , b ) 41.2 , c ) 40 , d ) 50 , e ) 48", - "Correct": "b", - "Explanation": "\"production cost per article : $ 60 * ( 100 % - 20 % ) / 20 = $ 2.40 required production costs for a loss of 20 % : $ 90 * ( 100 % + 10 % ) = $ 99 number of articles to be sold for $ 108 to incur a 20 % loss : $ 99 / $ 2.40 = 41.2 thus , solution b is correct .\"" - }, - { - "Answer": 10, - "Options": "a ) 10 % , b ) 2 % , c ) 4 % , d ) 5 % , e ) 3 %", - "Correct": "a", - "Explanation": "\"150 = ( 750 * 2 * r ) / 100 r = 10 % answer : a\"" - }, - { - "Answer": 2499.9987500006246, - "Options": "a ) 1588 apples , b ) 2500 apples , c ) 500 apples , d ) 2000 apples , e ) none", - "Correct": "b", - "Explanation": "\"answer \u00e2 \u02c6 \u00b5 20 % of n = 500 \u00e2 \u02c6 \u00b4 n = ( 500 x 100 ) / 20 = 2500 correct option : b\"" - }, - { - "Answer": 100, - "Options": "a ) 50 % , b ) 60 % , c ) 75 % , d ) 80 % , e ) 100 %", - "Correct": "e", - "Explanation": "\"p = 0.45 r = 0.9 g r = 0.9 g / 0.45 = 2 g thus r is 100 % greater than g . the answer is e .\"" - }, - { - "Answer": 61, - "Options": "a ) 63 % , b ) 24 % , c ) 50 % , d ) 55 % , e ) 61 %", - "Correct": "e", - "Explanation": "\"suppose enrollment in 1991 was 100 then enrollment in 1992 will be 140 and enrollment in 1993 will be 140 * 1.15 = 161 increase in 1993 from 1991 = 161 - 100 = 61 answer : e\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 5 % , b ) 11 % , c ) 13 % , d ) 21 % , e ) 33 %", - "Correct": "e", - "Explanation": "\"let s . p . = $ 100 c . p . = $ 75 profit = $ 25 profit % = 25 / 75 * 100 = 25 / 6 = 33 % approximately answer is e\"" - }, - { - "Answer": 500.0000000000002, - "Options": "a ) 2333 , b ) 2777 , c ) 2688 , d ) 500 , e ) 2871", - "Correct": "d", - "Explanation": "\"( x * 5 * 1 ) / 100 + [ ( 2500 - x ) * 6 * 1 ] / 100 = 145 x = 500 answer : d\"" - }, - { - "Answer": 990, - "Options": "a ) 960 , b ) 990 , c ) 1,200 , d ) 920 , e ) none of these", - "Correct": "b", - "Explanation": "\"let the profit or loss be x and 872 \u2013 x = 448 + x or , x = 424 \u2044 2 = 212 \\ cost price of the article = 872 \u2013 x = 448 + x = 660 \\ sp of the article = 660 \u00d7 150 \u2044 100 = 990 answer b\"" - }, - { - "Answer": 10000.000000000002, - "Options": "a ) 10000 , b ) 2028 , c ) 2775 , d ) 5496 , e ) 6851", - "Correct": "a", - "Explanation": "\"40 % - - - - - - - - - - - l 60 % - - - - - - - - - - - w - - - - - - - - - - - - - - - - - - 20 % - - - - - - - - - - 2000 100 % - - - - - - - - - ? = > 10000 answer : a\"" - }, - { - "Answer": 499.99999999999994, - "Options": "a ) 400 , b ) 420 , c ) 450 , d ) 480 , e ) 500", - "Correct": "e", - "Explanation": "let x be the number of female police officers on the police force . the number of female police officers on duty was 85 . 0.17 x = 85 x = 500 the answer is e ." - }, - { - "Answer": 50, - "Options": "a ) 50 , b ) 60 , c ) 80 , d ) 320 , e ) none", - "Correct": "a", - "Explanation": "answer \u2235 a - 20 % of a = 40 \u21d2 a - a / 5 = 40 \u21d2 4 a / 5 = 40 \u2234 a = ( 5 x 40 ) / 4 = 50 . correct option : a" - }, - { - "Answer": 81.9, - "Options": "a ) 80.0 , b ) 80.9 , c ) 81.0 , d ) 81.1 , e ) 81.9", - "Correct": "e", - "Explanation": "\"consider price of the all items as $ 100 after a initial reduction of 9 % price becomes = 0.91 * 100 = $ 91 after the final reduction of 10 % price becomes = 0.9 * 91 = $ 81.9 price of all items on second day is 81.9 % of price on first day correct answer option e\"" - }, - { - "Answer": 9.090909090909092, - "Options": "a ) 9.5 % , b ) 10.5 % , c ) 11.5 % , d ) 9.1 % , e ) 12.5 %", - "Correct": "d", - "Explanation": "\"12 * 10 + 10 = 130 ( 10 / 110 ) * 100 = 9.1 answer : d\"" - }, - { - "Answer": 600, - "Options": "a ) s . 90 , b ) s . 620 , c ) s . 600 , d ) s . 650 , e ) s . 690", - "Correct": "c", - "Explanation": "\"let the sp of the refrigerator and the mobile phone be rs . r and rs . m respectively . r = 15000 ( 1 - 4 / 100 ) = 15000 - 600 m = 8000 ( 1 + 15 / 100 ) = 8000 + 120 total sp - total cp = r + m - ( 15000 + 8000 ) = - 600 + 1200 = rs . 600 as this is positive , an overall profit of rs . 600 was made . c\"" - }, - { - "Answer": 10, - "Options": "a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 30 %", - "Correct": "a", - "Explanation": "\"explanation : 3650 - - - - - - - - 365 100 - - - - - - - - ? ( 10 % ) answer : option a\"" - }, - { - "Answer": 8000, - "Options": "a ) s . 4000 , b ) s . 5000 , c ) s . 4500 , d ) s . 4800 , e ) s . 8000", - "Correct": "e", - "Explanation": "\"ci = 8820 , r = 5 , n = 2 ci = p [ 1 + r / 100 ] ^ 2 = p [ 1 + 5 / 100 ] ^ 2 8820 = p [ 21 / 20 ] ^ 2 8820 [ 20 / 21 ] ^ 2 8000 answer : e\"" - }, - { - "Answer": 200, - "Options": "a ) 83.33 , b ) 110 , c ) 200 , d ) 120 , e ) 160", - "Correct": "c", - "Explanation": "\"solution to earn rs . 10 , money invested = rs . 100 . to earn rs . 20 , money invested = rs . ( 100 / 10 x 20 ) = rs . 200 . \u00e2 \u02c6 \u00b4 market value of rs . 100 stock = rs . 200 answer c\"" - }, - { - "Answer": 45.99999999999997, - "Options": "a ) 28.5 , b ) 46 , c ) 30 , d ) data inadequate , e ) none of these", - "Correct": "b", - "Explanation": "\"giving no discount to customer implies selling the product on printed price . suppose the cost price of the article is 100 . then printed price = 100 \u00e3 \u2014 ( 100 + 38.7 ) / ( 100 \u00e2 \u02c6 \u2019 5 ) = 146 hence , required % profit = 146 \u00e2 \u20ac \u201c 100 = 46 % answer b\"" - }, - { - "Answer": 112.5, - "Options": "a ) 80 , b ) 90 , c ) 95 , d ) 100 , e ) 112.5", - "Correct": "e", - "Explanation": "\"assume a value at the beginning of 2007 . as this is a % question , assume p = 100 . at the end of 2007 it becmae = 1.2 * 100 = 120 at the end of 2008 it decreased by 25 % = 120 * . 75 = 90 at the end of 2009 it increased by 25 % = 90 * 1.25 = 112.5 thus ratio = 112.5 / 100 = 1.125 ( in % terms = 12.5 % ) . thus e is the correct answer .\"" - }, - { - "Answer": 25, - "Options": "a ) 20 % , b ) 25 % , c ) 30 % , d ) 35 % , e ) 40 %", - "Correct": "b", - "Explanation": "\"let t be the total number of passengers . let x be the number of people with round trip tickets . 0.2 t had round trip tickets and took their cars . 0.8 x had round trip tickets and took their cars . 0.8 x = 0.2 t x = 0.25 t the answer is b .\"" - }, - { - "Answer": 1800, - "Options": "a ) 1600 , b ) 1700 , c ) 1800 , d ) 1900 , e ) 1000", - "Correct": "c", - "Explanation": "\"let the capital of pyarelal be x , then capital of ashok = x / 9 so ratio of investment of pyarelal and ashok = x : x / 9 = 9 x : x hence out of the total loss of 2000 , loss of pyarelal = 2000 * 9 x / 10 x = 1800 answer : c\"" - }, - { - "Answer": 52.5, - "Options": "a ) 105 / 2 , b ) 45 , c ) 44 , d ) 52 , e ) 50", - "Correct": "a", - "Explanation": "\"let c = chair ; t = table 2 c + 1 t = 0.6 ( 1 c + 2 t ) or c ( 2 - 0.6 ) = 1.2 t - 1 t or 1.4 c = 0.2 t therefore c = 0.2 / 1.4 t = 1 / 7 t ic + 1 t = 60 or 1 / 7 t + 1 t = 60 therefore t = 60 * 7 / 8 = 105 / 2 a\"" - }, - { - "Answer": 200, - "Options": "a ) 200 , b ) 997 , c ) 266 , d ) 288 , e ) 271", - "Correct": "a", - "Explanation": "\"( 40 / 100 ) * x \u2013 30 = 50 4 x = 800 x = 200 answer : a\"" - }, - { - "Answer": 200, - "Options": "a ) $ 200 , b ) $ 220 , c ) $ 230 , d ) $ 240 , e ) $ 250", - "Correct": "a", - "Explanation": "\"what shall be the rate of interest . ? does that is not required for the calculation ? not really ! keep in mind that the interest earned each year will be the same in simple interest . at the end of 2 years , amount = $ 260 at the end of 6 years , amount = $ 380 this means she earned an interest of $ 120 in 4 years . or $ 30 in each year . we know that the interest earned each year will be the same . therefore she must have earned $ 60 in 2 years . hence principal amount = $ 260 - $ 60 = $ 200 option a\"" - }, - { - "Answer": 700, - "Options": "a ) 540 , b ) 400 , c ) 700 , d ) 650 , e ) 840", - "Correct": "c", - "Explanation": "\"let the number of students appeared be x then , 65 % of x = 455 65 x / 100 = 455 x = 455 * 100 / 65 = 700 answer is c\"" - }, - { - "Answer": 868, - "Options": "a ) 288 , b ) 744 , c ) 788 , d ) 868 , e ) 177", - "Correct": "d", - "Explanation": "\"w = 62 % l = 38 % 62 % - 38 % = 24 % 24 % - - - - - - - - 336 62 % - - - - - - - - ? = > 868 answer : d\"" - }, - { - "Answer": 20, - "Options": "a ) 16 % , b ) 20 % , c ) 31 % , d ) 40 % , e ) 52 %", - "Correct": "b", - "Explanation": "\"we are asked to find the percentage of females in employed people . total employed people 60 % , out of which 48 are employed males , hence 12 % are employed females . ( employed females ) / ( total employed people ) = 12 / 60 = 1 / 5 = 20 % answer : b .\"" - }, - { - "Answer": 15, - "Options": "a ) 15 % , b ) 16 % , c ) 17 % , d ) 78 % , e ) 28 %", - "Correct": "a", - "Explanation": "\"1500 - - - - 225 100 - - - - ? = > 15 % answer : a\"" - }, - { - "Answer": 637.5, - "Options": "a ) 1360 , b ) 637.5 , c ) 1600 , d ) 1800 , e ) none", - "Correct": "b", - "Explanation": "\"sol . sum = s . i . * t . d . / ( s . i ) - ( t . d . ) = 85 * 75 / ( 85 - 75 ) = rs . 637.5 . answer b\"" - }, - { - "Answer": 115.19999999999999, - "Options": "a ) rs . 80 , b ) rs . 115.20 , c ) rs . 120 , d ) rs . 125.40 , e ) none of these", - "Correct": "b", - "Explanation": "explanation : for an income of rs . 10 , investment = rs . 96 . for an income of rs . 12 , investment = ( 96 / 10 x 12 ) = 115.20 answer : b" - }, - { - "Answer": 1166.6666666666667, - "Options": "a ) 1000 , b ) 2876 , c ) 1977 , d ) 1167 , e ) 2711", - "Correct": "d", - "Explanation": "\"92 % 104 % - - - - - - - - 12 % - - - - 140 100 % - - - - ? = > rs . 1167 answer : d\"" - }, - { - "Answer": 800, - "Options": "a ) 1100 , b ) 800 , c ) 1400 , d ) 1200 , e ) none of them", - "Correct": "b", - "Explanation": "let c ' s capital = rs . x . then , b ' s capital = rs . ( 2 / 3 ) x a \u2019 s capital = rs . ( 3 x ( 2 / 3 ) . x ) = rs . 2 x . ratio of their capitals = 2 x : ( 2 / 3 ) x : x = 6 : 2 : 3 . hence , b ' s share = rs . ( 4400 x ( 2 / 11 ) ) = rs . 800 . answer is b" - }, - { - "Answer": 6.25, - "Options": "a ) 93.5 , b ) 90 , c ) 6.75 , d ) 6.25 , e ) 2", - "Correct": "d", - "Explanation": "\"usually we can solve every question of this type by choosing appropriate value of the variable and deriving the value of other related variables . let , p = 400 then j = ( 75 / 100 ) * 400 = 300 also j = ( 80 / 100 ) * t i . e . t = 300 * 100 / 80 = 375 and t = [ 1 - ( e / 100 ) ] * p i . e . 100 - e = 100 * t / p = 100 * 375 / 400 = 93.75 i . e . e = 6.25 answer : option d\"" - }, - { - "Answer": 66.66666666666666, - "Options": "a ) 50 % , b ) 55 % , c ) 60 % , d ) 66 + ( 2 / 3 ) % , e ) 80 %", - "Correct": "d", - "Explanation": "\"given cash discount - 20 % profit - 20 % items sold - 10 price sold at = list price of 9 assume list price = $ 10 total invoice = $ 90 - 20 % cash discount = $ 72 let cost price of 10 items be x so total cost = 10 * x given the shopkeeper had a profit of 20 % 10 * x * 120 / 100 = 72 or x = $ 6 which means his products were listed at $ 10 which is a 66 + ( 2 / 3 ) % markup over $ 6 answer d\"" - }, - { - "Answer": 190, - "Options": "a ) rs . 190 , b ) rs . 17 , c ) rs . 1.70 , d ) rs . 4.25 , e ) none", - "Correct": "a", - "Explanation": "\"answer \u2235 0.5 / 100 of a = 95 / 100 \u2234 a = rs . ( 95 / 0.5 ) = rs . 190 correct option : a\"" - }, - { - "Answer": 300, - "Options": "a ) s . 600 , b ) s . 480 , c ) s . 300 , d ) s . 450 , e ) s . 550", - "Correct": "c", - "Explanation": "\"sp = 500 profit = 25 % cp = ( sp ) * [ 100 / ( 100 + p ) ] = 500 * [ 100 / 125 ] = 400 loss = 25 % = 25 % of 400 = rs . 100 sp = cp - loss = 400 - 100 = rs . 300 answer : c\"" - }, - { - "Answer": 10, - "Options": "a ) 10 % , b ) 15 % , c ) 18 % , d ) 20 % , e ) 25 %", - "Correct": "a", - "Explanation": "\"let principle = p s . i . = p t = 10 yrs rate = 100 * p / p * 10 = 10 % answer is a\"" - }, - { - "Answer": 80, - "Options": "a ) 80 % , b ) 105 % , c ) 120 % , d ) 124.2 % , e ) 138 %", - "Correct": "a", - "Explanation": "\"x = profits r = revenue x / r = 0,1 x = 10 r = 100 2009 : r = 80 x / 80 = 0,10 = 10 / 100 x = 80 * 10 / 100 x = 8 8 / 10 = 0.8 = 800 % , answer a\"" - }, - { - "Answer": 59, - "Options": "a ) 50 % , b ) 59 % , c ) 54 % , d ) 55 % , e ) 57 %", - "Correct": "b", - "Explanation": "\"say there are total of 100 registered voters in that city . thus 60 are democrats and 40 are republicans . 60 * 0.85 = 51 democrats are expected to vote for candidate a ; 40 * 0.20 = 8 republicans are expected to vote for candidate a . thus total of 51 + 8 = 59 registered voters are expected to vote for candidate a , which is 59 % of the total number of registered voters . answer : b .\"" - }, - { - "Answer": 120, - "Options": "a ) s . 486 , b ) s . 455 , c ) s . 487 , d ) s . 120 , e ) s . 489", - "Correct": "d", - "Explanation": "\"sp = 150 cp = ( sp ) * [ 100 / ( 100 + p ) ] = 150 * [ 100 / ( 100 + 25 ) ] = 150 * [ 100 / 125 ] = rs . 120 answer : d\"" - }, - { - "Answer": 10000, - "Options": "a ) 10000 , b ) 20000 , c ) 25000 , d ) 22235 , e ) none of these", - "Correct": "a", - "Explanation": "explanation : 25 % of income = rs . 2500 100 % of income = 2500 x 100 / 25 = rs . 10000 answer : a" - }, - { - "Answer": 10, - "Options": "a ) 3 , b ) 5 , c ) 8 , d ) 9 , e ) 10", - "Correct": "e", - "Explanation": "\"solution speed in still water = 1 / 2 ( 15 + 5 ) km / hr = 10 kmph . answer e\"" - }, - { - "Answer": 51.25, - "Options": "a ) rs . 52 , b ) rs . 51.25 , c ) rs . 54.25 , d ) rs . 60 , e ) rs . 70", - "Correct": "b", - "Explanation": "\"simple interest for 2 years = rs . 50 ie . for 1 years rs . 25 . . in the first year the s . i and c . i are same ie . rs . 25 . so in the 2 nd year in c . i calculated for 1 years interest also . so in second years for rs . 25 interest is 25 * 5 / 100 = 1.25 . so total c . p = 51.25 . answer : b\"" - }, - { - "Answer": 8.050847457627118, - "Options": "a ) 40 , b ) 300 / 11 , c ) 243 / 7 , d ) 475 / 59 , e ) 279 / 8", - "Correct": "d", - "Explanation": "cp = 118 * 12 = 1416 and sp = 102 * 15 = 1530 gain % = 100 * ( 1530 - 1416 ) / 1100 = 11400 / 1416 = 475 / 59 answer : d" - }, - { - "Answer": 400, - "Options": "a ) 300 , b ) 400 , c ) 500 , d ) 600 , e ) 700", - "Correct": "b", - "Explanation": "\"130 14 - - - - - - - 361 - - - - - - 144 100 % - - - - - - ? = > 400 answer : b\"" - }, - { - "Answer": 98.2, - "Options": "a ) 99.6 , b ) 96.2 , c ) 97.5 , d ) 98.2 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : use the formula , cp = 100 \u00e2 \u20ac \u201c discount + brokerage % cp = 100 - 2 + 1 / 5 98.2 thus the cp is rs 98.2 . answer d\"" - }, - { - "Answer": 1, - "Options": "a ) 2 hour , b ) 5 hour , c ) 1 hour , d ) 3 hour , e ) 2 hour", - "Correct": "c", - "Explanation": "c 1 hour speed ratio = 1 : 3 / 4 = 4 : 3 time ratio = 3 : 4 1 - - - - - - - - 1 / 3 3 - - - - - - - - - ? 1 hour" - }, - { - "Answer": 150, - "Options": "a ) 110 , b ) 120 , c ) 130 , d ) 140 , e ) 150", - "Correct": "e", - "Explanation": "\"he secured 40 marks nd fail by 20 marks so total marks for pass the examinatn = 60 let toal marks x x * 40 / 100 = 60 x = 150 answer : e\"" - }, - { - "Answer": 11.2, - "Options": "a ) 9 , b ) 10.4 , c ) 11.2 , d ) 12.5 , e ) 13", - "Correct": "c", - "Explanation": "\"man ' s rate in still water = ( 18 - 3.4 ) km / hr = 14.6 km / hr . man ' s rate against the current = ( 14.6 - 3.4 ) km / hr = 11.2 km / hr . answer : c\"" - }, - { - "Answer": 20, - "Options": "a ) 20 % , b ) 25 % , c ) 30 % , d ) 35 % , e ) 40 %", - "Correct": "a", - "Explanation": "\"the percent of the population who are employed females is 60 - 48 = 12 % the percent of employed people who are female is 12 % / 60 % = 20 % . the answer is a .\"" - }, - { - "Answer": 2520, - "Options": "a ) 2800 , b ) 2700 , c ) 2900 , d ) 2200 , e ) 2520", - "Correct": "e", - "Explanation": "\"e number of valid votes = 80 % of 7000 = 5600 . valid votes polled by other candidate = 45 % of 6000 = ( 45 / 100 x 5600 ) = 2520 .\"" - }, - { - "Answer": 45, - "Options": "a ) 40 % , b ) 41 1 / 2 % , c ) 44 % , d ) 45 % , e ) 46 %", - "Correct": "d", - "Explanation": "\"in 8 kilograms of solution y there are 0.3 * 8 = 2.4 kilograms of solution x ; after 4 kilograms of water are replaced by 4 kilograms of solution y , to the existing 2.4 kilograms of solution x , 0.3 * 4 = 1.2 kilograms of solution x are added , so in the new solution of 8 kilograms there are 2.4 + 1.2 = 3.6 kilograms of solution x , which is 3.6 / 8 * 100 = 45 % of this new solution . answer : d .\"" - }, - { - "Answer": 50.4, - "Options": "a ) 8 \u00b0 , b ) 10 \u00b0 , c ) 18 \u00b0 , d ) 36 \u00b0 , e ) 50 \u00b0", - "Correct": "e", - "Explanation": "\"here all percentage when summed we need to get 100 % . as per data 10 + 24 + 15 + 29 + 8 = 86 % . so remaining 14 % is the balance for the astrophysics . since this is a circle all percentage must be equal to 360 degrees . 100 % - - - - 360 degrees then 14 % will be 50 degrees . . imo option e .\"" - }, - { - "Answer": 900, - "Options": "a ) rs . 880 , b ) rs . 890 , c ) rs . 895 , d ) rs . 900 , e ) none", - "Correct": "d", - "Explanation": "let p = principal a - amount we have a = p ( 1 + r / 100 ) 3 and ci = a - p atq 993 = p ( 1 + r / 100 ) 3 - p ? p = 3000 / - now si @ 10 % on 3000 / - for 3 yrs = ( 3000 x 10 x 3 ) / 100 = 900 / - answer : d ." - }, - { - "Answer": 37.62, - "Options": "a ) rs . 34.38 , b ) rs . 38.98 , c ) rs . 37 , d ) rs . 37.62 , e ) none", - "Correct": "d", - "Explanation": "\"solution b . g = [ ( t . d ) \u00b2 / p . w ] = rs . ( 36 x 36 / 800 ) = rs . 1.62 b . d given , t . d = 36 = ( t . d + b . g ) = rs . ( 36 + 1.62 ) = rs . 37.62 . answer d\"" - }, - { - "Answer": 253.24675324675323, - "Options": "a ) 253 , b ) 208 , c ) 224 , d ) 254 , e ) 302", - "Correct": "a", - "Explanation": "\"if x is the original number of faculty members , then after 23 % reduction in faculty members number is . 77 x but we are given . 77 x = 195 x = 253 so the original number of faculty members is 253 correct answer - a\"" - }, - { - "Answer": 1000, - "Options": "a ) 1000 , b ) 10000 , c ) 100 , d ) 2000 , e ) 20000", - "Correct": "a", - "Explanation": "sol . net growth on x = ( 32 - 11 ) = 21 . net growth on 100 = ( 21 / x \u00e3 \u2014 100 ) % = 2.1 % . then x = 1000 answer : a" - }, - { - "Answer": 180, - "Options": "a ) 112.5 , b ) 122.5 , c ) 132.5 , d ) 114.5 , e ) 180", - "Correct": "e", - "Explanation": "\"( 4000 * 1.5 * 3 ) / 100 = > 180 answer : e\"" - }, - { - "Answer": 15000, - "Options": "a ) 15002 , b ) 15001 , c ) 15000 , d ) 15007 , e ) 15009", - "Correct": "c", - "Explanation": "principal = ( 100 * 5400 ) / ( 12 * 3 ) = rs . 15000 . answer : c" - }, - { - "Answer": 46.24999999999999, - "Options": "a ) 5 % , b ) 18 % , c ) 33 % , d ) 35 % , e ) 46.25 %", - "Correct": "e", - "Explanation": "\"profit in 1995 - 100 profit in 1996 - 117 % increae profit in 1997 in comparison to 1995 = 17 + 117 * 25 % = 46.25 correct option : e\"" - }, - { - "Answer": 66.66666666666666, - "Options": "a ) 67 % , b ) 80 % , c ) 90 % , d ) 100 % , e ) none of above", - "Correct": "a", - "Explanation": "explanation : let c . p . = rs . 100 . then , profit = rs . 320 , s . p . = rs . 420 . new c . p . = 140 % of rs . 100 = rs . 140 new s . p . = rs . 420 . profit = rs . ( 420 - 140 ) = rs . 280 required percentage = ( 280 / 420 ) * 100 = 66.67 % ( approx ) = 67 % answer : a" - }, - { - "Answer": 40, - "Options": "a ) 20 % , b ) 40 % , c ) 50 % , d ) 60 % , e ) 70 %", - "Correct": "b", - "Explanation": "\"70 + 50 + 20 = 140 % the number is 40 % above 100 % because 40 % of the counties were counted twice . the answer is b .\"" - }, - { - "Answer": 60000, - "Options": "a ) $ 48,000 , b ) $ 52,000 , c ) $ 56,000 , d ) $ 60,000 , e ) $ 64,000", - "Correct": "d", - "Explanation": "a : b : c = 45000 : 63000 : 72000 which is a ratio of 5 : 7 : 8 . let the total profit be x . x * 8 / 20 = 24000 x = 24000 * 20 / 8 = 60,000 . the answer is d ." - }, - { - "Answer": 153.84615384615384, - "Options": "a ) 110 , b ) 154 , c ) 130 , d ) 140 , e ) 150", - "Correct": "b", - "Explanation": "\"he secured 45 marks nd fail by 35 marks so total marks for pass the examinatn = 80 let toal marks x x * 52 / 100 = 80 x = 154 answer : b\"" - }, - { - "Answer": 16.666666666666664, - "Options": "a ) 16 % , b ) 16.66 % , c ) 17 % , d ) 17.2 % , e ) 18 %", - "Correct": "b", - "Explanation": "\"increase = ( 10 / 60 ) * 100 = ( 1 / 6 ) * 100 = 16.66 % . b\"" - }, - { - "Answer": 23.000000000000114, - "Options": "a ) $ 5 , b ) $ 15 , c ) $ 23 , d ) $ 100 , e ) $ 105", - "Correct": "c", - "Explanation": "\"compounded annually means that the interest is applied once per year . one can have 10 % annual interest compounded monthly - in this case 10 % / 12 would be applied each month , or 10 % annual interest compounded daily etc . with respect to the problem at hand , at the end of two years , tim would have 500 ( 1.10 ) ^ 2 = 500 ( 1.21 ) = 605 and lana would have 800 ( 1.05 ) ^ 2 = 800 ( 1.1025 ) = 882 thus , tim earned 105 dollars , while lana earned 82 dollars the difference is $ 23 and the answer is c .\"" - }, - { - "Answer": 2799.9999999999995, - "Options": "a ) rs 4000 , b ) rs 2800 , c ) rs 3800 , d ) rs 3500 , e ) rs 3100", - "Correct": "b", - "Explanation": "\"explanation : average rate = ( 144 / 4000 ) * 100 = 3.6 ratio = 14 : 6 = 7 : 3 so , first part = ( 7 / 10 ) * 4000 = rs 2800 . answer : b\"" - }, - { - "Answer": 32, - "Options": "a ) 32 , b ) 40 , c ) 48 , d ) 54 , e ) 60", - "Correct": "a", - "Explanation": "\"200 are sophomores . the number of freshmen is 600 - 160 - 0.26 ( 800 ) = 232 the answer is a .\"" - }, - { - "Answer": 6.666666666666667, - "Options": "a ) 6.66 % , b ) 7.66 % , c ) 6.06 % , d ) 6.16 % , e ) 8.66 %", - "Correct": "a", - "Explanation": "\"160 = ( 600 * 4 * r ) / 100 r = 6.66 % answer : a\"" - }, - { - "Answer": 80, - "Options": "a ) 20 % , b ) 42 % , c ) 44 % , d ) 80 % , e ) 84 %", - "Correct": "d", - "Explanation": "\"let ' s assume there are 100 reporters - - > 12 reporters cover local politics . now , as 40 % of the reporters who cover all politics do not cover local politics then the rest 60 % of the reporters who cover politics do cover local politics , so if there are x reporters who cover politics then 60 % of them equal to 12 ( # of reporters who cover local politics ) : 0.6 x = 12 - - > x = 20 , hence 20 reporters cover politics and the rest 100 - 20 = 80 reporters do not cover politics at all . answer : d .\"" - }, - { - "Answer": 1.5, - "Options": "a ) 1.5 kmph , b ) 3 kmph , c ) 8 kmph , d ) 7 kmph , e ) 5 kmph", - "Correct": "a", - "Explanation": "\"ds = 6 us = 3 s = ? s = ( 6 - 3 ) / 2 = 1.5 kmph answer : a\"" - }, - { - "Answer": 4.04, - "Options": "a ) 4.04 % , b ) 5 % , c ) 7 % , d ) 9 % , e ) 11 %", - "Correct": "a", - "Explanation": "\"100 cm is read as 102 cm . a 1 = ( 100 x 100 ) cm 2 and a 2 ( 102 x 102 ) cm 2 . ( a 2 - a 1 ) = [ ( 102 ) 2 - ( 100 ) 2 ] = ( 102 + 100 ) x ( 102 - 100 ) = 404 cm 2 . percentage error = 404 x 100 % = 4.04 % 100 x 100 a )\"" - }, - { - "Answer": 53, - "Options": "a ) 44 % increase , b ) 44 % decrease , c ) 53 % increase , d ) 66 % increase , e ) 66 % decrease", - "Correct": "c", - "Explanation": "if n items are sold for $ p each , revenue is $ np . if we reduce the price by 15 % , the new price is 0.85 p . if we increase the number sold by 80 % , the new number sold is 1.8 n . so the new revenue is ( 0.85 p ) ( 1.8 n ) = 1.53 np , which is 1.53 times the old revenue , so is 53 % greater . answer : c" - }, - { - "Answer": 39.99999999999999, - "Options": "a ) 20 , b ) 30 , c ) 35 , d ) 40 , e ) 55", - "Correct": "d", - "Explanation": "\"i did n ' t understand how did we get 100 ? total = 75 books . 65 % of books that were loaned out are returned - - > 100 % - 70 % = 30 % of books that were loaned out are not returned . now , there are 63 books , thus 76 - 63 = 12 books are not returned . { loaned out } * 0.30 = 7 - - > { loaned out } = 40 . answer : d .\"" - }, - { - "Answer": 4000, - "Options": "a ) $ 8,000 , b ) $ 5,600 , c ) $ 3,200 , d ) $ 4,000 , e ) $ 800", - "Correct": "d", - "Explanation": "\"d . market value in 1982 = $ 8000 market value in 1983 = $ 8000 - ( $ 8000 x 25 / 100 ) = 8000 - 2000 = $ 6000 market value in 1984 = market value in 1983 - ( 25 % of $ 8000 ) = 6000 - 2000 = $ 4000\"" - }, - { - "Answer": 0.5, - "Options": "a ) 0.25 % , b ) 0.5 % , c ) 0.75 % , d ) 1.25 % , e ) 2.5 %", - "Correct": "b", - "Explanation": "\"0.1 * 0.05 = 0.005 = 0.5 % the answer is b .\"" - }, - { - "Answer": 4.166666666666667, - "Options": "a ) 4.16 , b ) 5.16 , c ) 6.16 , d ) 7.16 , e ) 8.16", - "Correct": "a", - "Explanation": "\"130 = ( 780 * 4 * r ) / 100 r = 4.16 % answer : a\"" - }, - { - "Answer": 5, - "Options": "a ) $ 3 , b ) $ 7 , c ) $ 1 , d ) $ 5 , e ) $ 9", - "Correct": "d", - "Explanation": "since i earned $ 50 sp 10 percent would be 5 $ and 45 $ would remain . dividing 45 by 9 , each employee would get 5 $ each and hince option d is correct ." - }, - { - "Answer": 175, - "Options": "a ) rs . 175 , b ) rs . 92 , c ) rs . 112.50 , d ) rs . 116.50 , e ) none of these", - "Correct": "a", - "Explanation": "\"solution to obtain rs . 8 , investment = rs . 100 . to obtain rs . 14 , investment = rs . ( 100 / 8 x 14 ) = rs . 175 \u2234 market value of rs . 100 stock = rs . 175 answer a\"" - }, - { - "Answer": 100, - "Options": "a ) 100 , b ) 52 , c ) 58 , d ) 60 , e ) 62", - "Correct": "a", - "Explanation": "\"solution solution let the number be x . x - 16 % of x = 84 x - 16 / 100 x = 84 x - 4 / 25 x = 84 21 / 25 x = 84 x = ( 84 x 25 / 21 ) = 100 answer a\"" - }, - { - "Answer": 50, - "Options": "a ) 10 % , b ) 15 % , c ) 50 % , d ) 25 % , e ) 30 %", - "Correct": "c", - "Explanation": "\"price of a coat in a certain store = $ 500 the price of the coat is to be reduced by $ 250 % change = ( final value - initial value ) * 100 / initial value % reduction = ( reduction in price ) * 100 / initial value i . e . % reduction = ( 250 ) * 100 / 500 = 50 % answer : option c\"" - }, - { - "Answer": 1800, - "Options": "a ) 400 , b ) 625 , c ) 1818 , d ) 2500 , e ) 10 000", - "Correct": "c", - "Explanation": "\"the percent of tagged fish in the second catch is 2 / 60 * 100 = 3.33 % . we are told that 3.33 % approximates the percent of tagged fish in the pond . since there are 60 tagged fish , then we have 0.033 x = 60 - - > x = 1,818 . answer : c .\"" - }, - { - "Answer": 2100, - "Options": "a ) 2000 , b ) 2100 , c ) 2200 , d ) 2300 , e ) 2400", - "Correct": "b", - "Explanation": "\"1 percent for 3 years = 63 1 percent for 1 year = 21 = > 100 percent = 2100 answer : b\"" - }, - { - "Answer": 160, - "Options": "a ) 160 , b ) 190 , c ) 225 , d ) 250 , e ) 500", - "Correct": "a", - "Explanation": "let b be the number of boys in the school . 128 = xb / 100 b = 0.5 x 12800 = 0.5 x ^ 2 x ^ 2 = 25600 x = 160 the answer is a ." - }, - { - "Answer": 3, - "Options": "a ) 3 , b ) 5 , c ) 8 , d ) 11 , e ) 17", - "Correct": "a", - "Explanation": "pqrs = 1365 = 3 * 5 * 7 * 13 since 1 < p < q < r < s , the number of students who are accounting majors is p = 3 . the answer is a ." - }, - { - "Answer": 40, - "Options": "a ) 33.3 % , b ) 40 % , c ) 50 % , d ) 60 % , e ) 66.6 %", - "Correct": "b", - "Explanation": "\"0.20 p = rt + c 0.5 ( rt ) = no c = > 0.50 ( rt ) had c 0.20 p = 0.50 ( rt ) rt / p = 40 % answer - b\"" - }, - { - "Answer": 73, - "Options": "a ) 69 . , b ) 73 . , c ) 81 , d ) 91 , e ) 108", - "Correct": "b", - "Explanation": "total students = 420 boys = 312 , girls = 108 total playing soccer = 250 86 % of 250 = 215 are boys who play soccer . girls who play soccer = 35 . total girls who do not play soccer = 108 - 35 = 73 . correct option : b" - }, - { - "Answer": 560, - "Options": "a ) 210 , b ) 280 , c ) 560 , d ) 450 , e ) none", - "Correct": "c", - "Explanation": "\"sol . sum = b . d . * t . d . / b . d . - t . d . = rs . [ 80 * 70 / 80 - 70 ] = rs . [ 80 * 70 / 10 ] = rs . 560 answer c\"" - }, - { - "Answer": 4, - "Options": "a ) 0.004 % , b ) 0.02 % , c ) 0.2 % , d ) 4 % , e ) 40 %", - "Correct": "d", - "Explanation": "we are given that 0.02 ounces of water evaporated each day . furthermore , we know that this process happened over a 20 - day period . to calculate the total amount of water that evaporated during this time frame we need to multiply 0.02 by 20 . this gives us : 0.02 x 20 = 0.4 ounces finally , we are asked for \u201c what percent \u201d of the original amount of water evaporated during this period . to determine this percentage , we have to make sure we translate the expression correctly . we can translate it to : ( amount evaporated / original amount ) x 100 % ( 0.4 / 10 ) x 100 % ( 4 / 100 ) x 100 % = 4 % answer d" - }, - { - "Answer": 2800, - "Options": "a ) $ 2000 , b ) $ 2500 , c ) $ 3000 , d ) $ 2800 , e ) $ 1540", - "Correct": "d", - "Explanation": "\"115 % of cost - 110 % of cost = $ 140 5 % of cost = $ 140 cost = 140 * 100 / 5 = $ 2800 answer is d\"" - }, - { - "Answer": 5, - "Options": "a ) 0.005 % , b ) 0.05 % , c ) 0.5 % , d ) 5 % , e ) 25 %", - "Correct": "d", - "Explanation": "\"in 15 days 15 * 0.05 = 0.75 ounces of water evaporated , which is 0.75 / 15 \u00e2 \u02c6 \u2014 100 = 5 of the original amount of water . answer : d .\"" - }, - { - "Answer": 15.384615384615374, - "Options": "a ) 15.3 % , b ) 25 % , c ) 30 % , d ) 33 % , e ) 40 %", - "Correct": "a", - "Explanation": "\"another method is to use the formula for 2 successive percentage changes : total = a + b + ab / 100 50 = 30 + b + 30 b / 100 b = 15.3 answer ( a )\"" - }, - { - "Answer": 1093.7499999999998, - "Options": "a ) rs . 150.50 , b ) rs . 154.75 , c ) rs . 156.25 , d ) rs . 1093.75 , e ) none", - "Correct": "d", - "Explanation": "\"solution present worth = rs . [ 1183 / ( 1 + 4 / 100 ) \u00b2 ] = rs . ( 1183 x 25 / 26 x 25 / 26 ) = rs . 1093.75 answer d\"" - }, - { - "Answer": 40, - "Options": "a ) 10 % , b ) 20 % , c ) 30 % , d ) 40 % , e ) 50 %", - "Correct": "d", - "Explanation": "\"20 cp = 12 sp 20 - - - 8 cpgain 100 - - - ? = > 40 % answer : d\"" - }, - { - "Answer": 27.058823529411764, - "Options": "a ) 22 , b ) 27 , c ) 99 , d ) 88 , e ) 11", - "Correct": "b", - "Explanation": "850 - - - - 180 100 - - - - ? = > 27 % answer : b" - }, - { - "Answer": 115, - "Options": "a ) 69 . , b ) 73 . , c ) 81 . , d ) 91 . , e ) 115 .", - "Correct": "e", - "Explanation": "\"total students = 500 boys = 350 , girls = 150 total playing soccer = 250 86 % of 250 = 215 are boys who play soccer . girls who play soccer = 35 . total girls who do not play soccer = 150 - 35 = 115 . correct option : e\"" - }, - { - "Answer": 383.33333333333337, - "Options": "a ) 360 , b ) 383 , c ) 400 , d ) 406 , e ) 412", - "Correct": "b", - "Explanation": "\"mr . john used to purchase certain number of mangoes for $ 360 since the price of mangoes is reduced by 10 % he got 12 more mangoes today . find the original price of 120 mangoes . method 1 : let price per mango = x . let number of mangoes be n . then , nx = 360 . now price = 0.9 x ; number of mangoes = n + 12 . total amount = 0.9 x * ( n + 12 ) = 360 . nx = 0.9 nx + 10.8 x = > 0.1 nx = 10.8 x = > n = 108 = > x = 360 / 108 = 3.33 original price of 115 mangoes = 115 * 3.33 = 383 . answer b\"" - }, - { - "Answer": 8625, - "Options": "a ) s . 8500 , b ) s . 8700 , c ) s . 7500 , d ) s . 7000 , e ) s . 6500", - "Correct": "b", - "Explanation": "\"p = rs . 69600 , r = 50 / 3 % p . a and t = 9 / 12 years = 3 / 4 years . s . i . = ( p * r * t ) / 100 = rs . ( 69,600 * ( 50 / 3 ) * ( 3 / 4 ) * ( 1 / 100 ) ) = rs . 8700 answer is b .\"" - }, - { - "Answer": 5, - "Options": "a ) 5 kg , b ) 2.4 kg , c ) 2.5 kg , d ) 10 kg , e ) none of these", - "Correct": "a", - "Explanation": "\"the weight of non - water in 20 kg of fresh grapes ( which is 100 - 90 = 10 % of whole weight ) will be the same as the weight of non - water in x kg of dried grapes ( which is 100 - 20 = 80 % of whole weight ) , so 40 \u00e2 \u02c6 \u2014 0.1 = x \u00e2 \u02c6 \u2014 0.8 - - > x = 5 answer : a\"" - }, - { - "Answer": 57.5, - "Options": "a ) 52.5 , b ) 54.5 , c ) 55.5 , d ) 57.5 , e ) 59.5", - "Correct": "d", - "Explanation": "cost price = 500 profit = 15 % = 15 % of 500 = 75 selling price = cp + profit sp = 575 a discount of 10 % to employees means 10 % off on 575 so 10 % of 575 = 57.5 ans d" - }, - { - "Answer": 0.02, - "Options": "a ) 0.003 , b ) 0.0005 , c ) 0.25 , d ) 0.02 , e ) none of these", - "Correct": "d", - "Explanation": "explanation : solution : ( 2 ) * ( 1 / 4 ) * 4 % = 2 * ( 1 / 4 * 1 / 100 ) = 0.02 . answer : d" - }, - { - "Answer": 72.72727272727273, - "Options": "a ) 72.72 % , b ) 50 % , c ) 57.57 % , d ) 60 % , e ) 65 %", - "Correct": "a", - "Explanation": "\"total number of votes polled = ( 2500 + 5000 + 20000 ) = 27500 so , required percentage = 20000 / 27500 * 100 = 72.72 % a\"" - }, - { - "Answer": 66.66666666666666, - "Options": "a ) 30 % , b ) 40 % , c ) 50 % , d ) 66.67 % , e ) 70 %", - "Correct": "d", - "Explanation": "\"here , selling price of 10 m cloth is obtained as profit . profit of 10 m cloth = ( s . p . of 25 m cloth ) \u2013 ( c . p . of 25 m cloth ) selling price of 15 m cloth = selling price of 25 m of cloth let cost of each metre be rs . 100 . therefore , cost price of 15 m cloth = rs . 1500 and s . p . of 15 m cloth = rs . rs . 2500 profit % = 10 / 15 \u00d7 100 = 66.67 % profit of 66.67 % was made by the merchant . d\"" - }, - { - "Answer": 400, - "Options": "a ) $ 400 , b ) $ 800 , c ) $ 1,000 , d ) $ 1,600 , e ) $ 2,400", - "Correct": "a", - "Explanation": "\"let total rent the motel charge for all rooms = x if 10 rooms that were rented for 60 $ had instead been rented for 40 $ , then total difference in prices = 20 $ * 10 = 200 $ total rent the motel charged would have been reduced by 50 % . 5 x = 200 = > x = 400 answer a\"" - }, - { - "Answer": 15041.875, - "Options": "a ) rs . 16241.875 , b ) rs . 15041.85 , c ) rs . 15401.875 , d ) rs . 15041.875 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : principal = rs 100 x 6016.75 / 8 x 5 = rs . 601675 / 40 = rs . 15041.875 answer : option d\"" - }, - { - "Answer": 7239.130434782609, - "Options": "a ) rs . 6725 , b ) rs . 7239.13 , c ) rs . 6908 , d ) rs . 6725 , e ) rs . 6728", - "Correct": "b", - "Explanation": "\"cp = sp * ( 100 / ( 100 + profit % ) ) = 8325 ( 100 / 115 ) = rs . 7239.13 . answer : b\"" - }, - { - "Answer": 75, - "Options": "a ) 20 , b ) 25 , c ) 30 , d ) 35 , e ) 75", - "Correct": "e", - "Explanation": "say the number of students who read book a is a and the number of students who read book b is b . given that 20 % of those who read book a also read book b and 25 % of those who read book b also read book a , so the number of students who read both books is 0.2 a = 0.25 b - - > a = 1.25 b . since each student read at least one of the books then { total } = { a } + { b } - { both } - - > 600 = 1.25 b + b - 0.25 b - - > b = 300 , a = 1.25 b = 375 and { both } = 0.25 b = 75 . the number of students who read only book a is { a } - { both } = 375 - 75 = 300 ; the number of students who read only book b is { b } - { both } = 300 - 75 = 225 ; the difference is 300 - 225 = 75 . answer : e ." - }, - { - "Answer": 775, - "Options": "a ) 456 , b ) 744 , c ) 912 , d ) 1200 , e ) 775", - "Correct": "e", - "Explanation": "\"w = 62 % l = 38 % 62 % - 38 % = 24 % 24 % - - - - - - - - 300 62 % - - - - - - - - ? = > 775 answer : e\"" - }, - { - "Answer": 8.333333333333332, - "Options": "a ) 12 % , b ) 12.5 % , c ) 6.67 % , d ) 6.25 % , e ) 8.33 %", - "Correct": "e", - "Explanation": "answer initial amount invested = $ x amount at the end of year 3 = $ 300 amount at the end of year 8 ( another 5 years ) = $ 400 therefore , the interest earned for the 5 year period between the 3 rd year and 8 th year = $ 400 - $ 300 = $ 100 as the simple interest earned for a period of 5 years is $ 100 , interest earned per year = $ 20 . therefore , interest earned for 3 years = 3 * 20 = $ 60 . hence , initial amount invested x = amount after 3 years - interest for 3 years = 300 - 60 = $ 240 . rate of interest = ( interest per year / principal ) * 100 = 20 / 240 * 100 = 8.33 % choice is ( e )" - }, - { - "Answer": 10, - "Options": "a ) 50 , b ) 60 , c ) 10 , d ) 20 , e ) 30", - "Correct": "c", - "Explanation": "let us write the fraction for each group of students group a : younger than 10 : 50 % = 50 / 100 = 1 / 2 group b : 10 years old : 1 / 20 group c : older that 10 but younger than 12 : 1 / 10 group d : 12 years or older : 70 students the fraction for group a , b and c together is given by 1 / 2 + 1 / 20 + 1 / 10 = 10 / 20 + 1 / 20 + 2 / 20 , common denominator = 13 / 20 , add numerators the fraction for group d is given by 20 / 20 - 13 / 20 = 7 / 20 and corresponds to 70 students if x is the total number of students , then 7 / 20 of x = 70 or ( 7 / 20 ) * x = 70 solve for x x = 70 * ( 20 / 7 ) = 200 students who are 10 years old have a fraction of 1 / 20 of the total x and their number is equal to ( 1 / 20 ) of 200 = 10 students correct answer c" - }, - { - "Answer": 360.00000000000045, - "Options": "a ) 160 , b ) 220 , c ) 240 , d ) 360 , e ) 420", - "Correct": "d", - "Explanation": "\"let ' s xx be total quantity of employees 0.6 x = females before adding men 0.55 ( x + 30 ) = females after adding men as quantity of women does n ' t change we can make an equation : 0.6 x = 0.55 ( x + 30 ) 0.05 x = 16.5 x = 330 - this is quantity of employees before adding 30 men so after adding it will be 360 answer is d\"" - }, - { - "Answer": 17.391304347826086, - "Options": "a ) 16.67 % , b ) 23 % , c ) 18.3 % , d ) 19.75 % , e ) 17.4 %", - "Correct": "e", - "Explanation": "\"alcohol in the 20 litres of mix . = 20 % of 20 litres = ( 20 * 20 / 100 ) = 4 litres water in it = 20 - 3 = 17 litres new quantity of mix . = 20 + 3 = 23 litres quantity of alcohol in it = 4 litres percentage of alcohol in new mix . = 4 * 100 / 23 = 17.4 % answer is e\"" - }, - { - "Answer": 6800.000000000145, - "Options": "a ) 4500 , b ) 7500 , c ) 5000 , d ) 6800 , e ) none of these", - "Correct": "d", - "Explanation": "sol . ( d ) let the sum be 100 . therefore , si = 100 \u00d7 5 \u00d7 2100 = 10100 \u00d7 5 \u00d7 2100 = 10 and ci = 100 ( 1 + 5100 ) 2 \u2212 100100 ( 1 + 5100 ) 2 \u2212 100 \u2234 = 100 \u00d7 21 \u00d7 2120 \u00d7 20 \u2212 100 = 414 = 100 \u00d7 21 \u00d7 2120 \u00d7 20 \u2212 100 = 414 difference of ci and si = 41 \u2044 4 - 10 = 1 \u2044 4 if the difference is 1 \u2044 4 , the sum = 100 = > if the difference is 17 , the sum = 400 \u00d7 17 = 6800 answer d" - }, - { - "Answer": 220, - "Options": "a ) 120 , b ) 150 , c ) 180 , d ) 200 , e ) 220", - "Correct": "e", - "Explanation": "\"let b be the number of boys in the school . 242 = xb / 100 b = 0.5 x 24200 = 0.5 x ^ 2 x ^ 2 = 48400 x = 220 the answer is e .\"" - }, - { - "Answer": 1.4999999999999998, - "Options": "a ) 1 / 5 , b ) 1 / 3 , c ) 1 / 2 , d ) 3 / 2 , e ) 3 / 5", - "Correct": "d", - "Explanation": "\"let total paint = 1 let amount replaced = x 15 ( 1 - x ) + 25 x = 30 x = 3 / 2 answer : d\"" - }, - { - "Answer": 59000, - "Options": "a ) 22678 , b ) 59000 , c ) 26788 , d ) 19000 , e ) 26711", - "Correct": "b", - "Explanation": "\"money paid in cash = rs . 1000 balance payment = ( 60000 - 1000 ) = rs . 59000 answer : b\"" - }, - { - "Answer": 24, - "Options": "a ) 1 , b ) 8 , c ) 9 , d ) 24 , e ) 3", - "Correct": "d", - "Explanation": "\"96 % - - - - 36 144 % - - - - ? 96 / 144 * 36 = 24 answer : d\"" - }, - { - "Answer": 102, - "Options": "a ) 102 , b ) 112 , c ) 122 , d ) 132 , e ) 142", - "Correct": "a", - "Explanation": "\"45 + 23 + 15 = 83 % 100 \u2013 83 = 17 % 600 * 17 / 100 = 102 the answer is a .\"" - }, - { - "Answer": 6400.000000000136, - "Options": "a ) 4500 , b ) 7500 , c ) 5000 , d ) 6400 , e ) none of these", - "Correct": "d", - "Explanation": "\"sol . ( d ) let the sum be 100 . therefore , si = 100 \u00d7 5 \u00d7 2 / 100 = 10 and ci = 100 ( 1 + 5 / 100 ) 2 \u2212 100 \u2234 = 100 \u00d7 21 \u00d7 21 / 20 \u00d7 20 \u2212 100 = 41 / 4 difference of ci and si = 41 \u2044 4 - 10 = 1 \u2044 4 if the difference is 1 \u2044 4 , the sum = 100 = > if the difference is 16 , the sum = 400 \u00d7 16 = 6400 answer d\"" - }, - { - "Answer": 15, - "Options": "a ) 15 , b ) 10 , c ) 28 , d ) 24 , e ) 82", - "Correct": "a", - "Explanation": "\"explanation : 2420 - - - 363 100 - - - ? = > 15 % answer : option a\"" - }, - { - "Answer": 225, - "Options": "a ) $ 125 , b ) $ 100 , c ) $ 200 , d ) $ 215 , e ) $ 225", - "Correct": "e", - "Explanation": "\"p = $ 400 r = 25 % t = 2 years machine value after 2 years = p [ ( 1 - r / 100 ) ^ t ] = 400 * 3 / 4 * 3 / 4 = $ 225 approximately answer is e\"" - }, - { - "Answer": 2400, - "Options": "a ) $ 2400 , b ) $ 2464 , c ) $ 2650 , d ) $ 2732 , e ) $ 2800", - "Correct": "a", - "Explanation": "\"2240 = x * 1.4 = x * ( 7 / 5 ) . therefore , x = 2240 * 5 / 7 . 2240 is easily divided by 7 to be 320 , which is then easily multiplied by 5 to give x = 1600 . to get 50 % profit , you need 1600 * 1.5 = 2400 . answer : a\"" - }, - { - "Answer": 4000, - "Options": "a ) 2500 , b ) 3500 , c ) 4500 , d ) 2800 , e ) 4000", - "Correct": "e", - "Explanation": "\"x * 12 : 2 x * 6 : 3 x * 4 1 : 1 : 1 1 / 3 * 12000 = 4000 answer : e\"" - }, - { - "Answer": 3400, - "Options": "a ) $ 3400 , b ) $ 3200 , c ) $ 6000 , d ) $ 6400 , e ) $ 9600", - "Correct": "a", - "Explanation": "\"let x be the monthly salary 15 % of 1 / 5 * x = 102 x = 3400 answer a\"" - }, - { - "Answer": 28, - "Options": "a ) 44 , b ) 28 , c ) 50 , d ) 52 , e ) 56", - "Correct": "b", - "Explanation": "\"number of passengers on flight = 120 number of female passengers = . 3 * 120 = 36 number of passengers in first class = ( 10 / 100 ) * 120 = 12 number of passengers in coach class = ( 90 / 100 ) * 120 = 108 number of male passengers in first class = 1 / 3 * 12 = 4 number of female passengers in first class = 12 - 4 = 8 number of female passengers in coach class = 36 - 8 = 28 answer b\"" - }, - { - "Answer": 37.5, - "Options": "a ) 37.5 % , b ) 40 % , c ) 50 % , d ) 60 % , e ) 66.6 %", - "Correct": "a", - "Explanation": "0.15 p = rt + c 0.6 ( rt ) = no c = > 0.40 ( rt ) had c 0.15 p = 0.40 ( rt ) rt / p = 37.5 % answer - a" - }, - { - "Answer": 4200, - "Options": "a ) 1344 , b ) 4200 , c ) 8400 , d ) 50400 , e ) 67200", - "Correct": "b", - "Explanation": "8 machines produce 560 in 1 min 8 machines produce 560 * 6 in 6 min 10 machine produce 560 * 6 * ( 10 / 8 ) in 6 minutes 560 * 6 * 10 / 8 = 4200 answer is b ." - }, - { - "Answer": 270, - "Options": "a ) $ 190 , b ) $ 180 , c ) $ 200 , d ) $ 240 , e ) $ 270", - "Correct": "e", - "Explanation": "100 amounts to 140 in 3 years . i . e ( principal + interest ) on 120 in 3 years = 140 100 + 100 * ( r / 100 ) * ( 3 ) = 140 = > r = 40 / 3 150 in 6 years = principal + interest = 150 + 150 * ( r / 100 ) * ( 6 ) = 270 answer is e ." - }, - { - "Answer": 500, - "Options": "a ) 800 , b ) 650 , c ) 500 , d ) 600 , e ) 250", - "Correct": "c", - "Explanation": "\"cp = sp * ( 100 / ( 100 + profit % ) ) = 1000 ( 100 / 200 ) = rs . 500 . answer : c\"" - }, - { - "Answer": 39.6, - "Options": "a ) 8 \u00b0 , b ) 40 \u00b0 , c ) 18 \u00b0 , d ) 36 \u00b0 , e ) 52 \u00b0", - "Correct": "b", - "Explanation": "\"here all percentage when summed we need to get 100 % . as per data 13 + 24 + 15 + 29 + 8 = 89 % . so remaining 11 % is the balance for the astrophysics . since this is a circle all percentage must be equal to 360 degrees . 100 % - - - - 360 degrees then 11 % will be 40 degrees . . imo option b .\"" - }, - { - "Answer": 96, - "Options": "a ) rs . 80 , b ) rs . 96 , c ) rs . 106 , d ) rs . 108 , e ) rs . 118", - "Correct": "b", - "Explanation": "michel earns rs 135 by investing rs 1620 to earn rs 8 how much he have to invest ? = ( 8 * 1620 ) / 135 = rs 96 answer : b" - }, - { - "Answer": 1.25, - "Options": "a ) 6.25 % , b ) 1.25 % , c ) 4 % , d ) 5 % , e ) 3.25 %", - "Correct": "b", - "Explanation": "\"150 = ( 750 * 16 * r ) / 100 r = 1.25 % answer : b\"" - }, - { - "Answer": 800, - "Options": "a ) $ 500 , b ) $ 600 , c ) $ 700 , d ) $ 800 , e ) $ 900", - "Correct": "d", - "Explanation": "\"9 % * cost price = $ 72 1 % * cost price = $ 72 / 9 = $ 8 the cost price is $ 800 . the answer is d .\"" - }, - { - "Answer": 33, - "Options": "a ) 33 % , b ) 34 % , c ) 35 % , d ) 36 % , e ) 37 %", - "Correct": "a", - "Explanation": "total men in company 35 % means total women in company 65 % ( assume total people in company 100 % ) no of men emplyess attended picnic = 35 x ( 20 / 100 ) = 7 no of women empolyees attened picnin = 65 x ( 40 / 100 ) = 26 total percentage of empolyess attened the picnic = 7 + 26 = 33 % answer : a" - }, - { - "Answer": 2000.0000000000007, - "Options": "a ) 2000 , b ) 2400 , c ) 2800 , d ) 3200 , e ) 3600", - "Correct": "a", - "Explanation": "\"let x be the total number of votes . 0.34 x + 640 = 0.66 x 0.32 x = 640 x = 640 / 0.32 = 2000 the answer is a .\"" - }, - { - "Answer": 6, - "Options": "a ) 2 % , b ) 6 % , c ) 14 % , d ) 28 % , e ) 63 %", - "Correct": "b", - "Explanation": "\"case 1 : ( 7 / 90 ) = x / 100 x = 8 % case 2 : ( 9 / 63 ) = y / 100 y = 14 % so percent increase is = ( y - x ) = ( 14 - 8 ) % = 6 % answer is b\"" - }, - { - "Answer": 3.45, - "Options": "a ) 3.45 , b ) 4.5 , c ) 2.25 , d ) 3.21 , e ) none", - "Correct": "a", - "Explanation": "sol . s . i . = rs . [ 23 * 5 / 100 * 3 ] = rs . 3.45 answer a" - }, - { - "Answer": 0.5294117647058824, - "Options": "a ) 1 / 5 , b ) 1 / 3 , c ) 2 / 5 , d ) 9 / 17 , e ) 9 / 23", - "Correct": "d", - "Explanation": "\"let weight of jar filled with beans = 100 g weight of jar = 15 g weight of coffee beans = 85 g weight of jar and remaining beans = 60 g weight of remaining beans = 45 g fraction remaining = 45 / 85 = 9 / 17 answer is d .\"" - }, - { - "Answer": 6.4, - "Options": "a ) 4.6 % , b ) 3.6 % , c ) 6.4 % , d ) 7.8 % , e ) 8.9 %", - "Correct": "c", - "Explanation": "\"c 6.4 % income from $ 4000 at 5 % in one year = $ 4000 of 5 % . = $ 4000 \u00d7 5 / 100 . = $ 4000 \u00d7 0.05 . = $ 200 . income from $ 3500 at 4 % in one year = $ 3500 of 4 % . = $ 3500 \u00d7 4 / 100 . = $ 3500 \u00d7 0.04 . = $ 140 . total income from 4000 at 5 % and 3500 at 4 % = $ 200 + $ 140 = $ 340 . remaining income amount in order to have a yearly income of $ 500 = $ 500 - $ 340 . = $ 160 . total invested amount = $ 4000 + $ 3500 = $ 7500 . remaining invest amount = $ 10000 - $ 7500 = $ 2500 . we know that , interest = principal \u00d7 rate \u00d7 time interest = $ 160 , principal = $ 2500 , rate = r [ we need to find the value of r ] , time = 1 year . 160 = 2500 \u00d7 r \u00d7 1 . 160 = 2500 r 160 / 2500 = 2500 r / 2500 [ divide both sides by 2500 ] 0.064 = r r = 0.064 change it to a percent by moving the decimal to the right two places r = 6.4 % therefore , he invested the remaining amount $ 2500 at 6.4 % in order to get $ 500 income every year .\"" - }, - { - "Answer": 240, - "Options": "a ) $ 120 , b ) $ 150 , c ) $ 240 , d ) $ 250 , e ) $ 300", - "Correct": "c", - "Explanation": "\"a = p ( 1 + r / 100 ) ^ t = 1200 ( 1 + 20 / 100 ) ^ 1 = 1200 * 6 / 5 = $ 1440 ci = a - p = 1440 - 1200 = $ 240 answer is c\"" - }, - { - "Answer": 0.9955555555555557, - "Options": "a ) $ 0.94 , b ) $ 0.96 , c ) $ 0.99 , d ) $ 1.00 , e ) $ 1.20", - "Correct": "c", - "Explanation": "assume the manager bought 100 tomatoes . cost price = 80 given : 10 % are damaged - - > available tomatoes to sell = 90 90 * x - 80 = 0.12 * 80 90 x - 80 = 9.6 90 x = 89.6 x = 89.6 / 90 = 0.995 x is slightly under 0.9955 = 0.99 answer : c" - }, - { - "Answer": 1200, - "Options": "a ) 127 , b ) 1200 , c ) 1600 , d ) 1400 , e ) 1202", - "Correct": "b", - "Explanation": "\"let c . p . be rs . x . then , 5 % of x = 220 - 160 = 60 x / 20 = 60 = > x = 1200 answer : b\"" - }, - { - "Answer": 400, - "Options": "a ) 337 , b ) 400 , c ) 298 , d ) 2798 , e ) 271", - "Correct": "b", - "Explanation": "130 14 - - - - - - - 361 - - - - - - 144 100 % - - - - - - ? = > 400 answer : b" - }, - { - "Answer": 21.000000000000014, - "Options": "a ) 11 % , b ) 20 % , c ) 22 % , d ) 21 % , e ) 23 %", - "Correct": "d", - "Explanation": "suppose he bought 110 apples . cp = rs 100 sp = rs 121 % profit = 100 * ( 121 - 100 ) / 100 = 21 % answer : d" - }, - { - "Answer": 3000, - "Options": "a ) 2277 , b ) 2999 , c ) 1000 , d ) 3000 , e ) 1971", - "Correct": "d", - "Explanation": "\"x * ( 110 / 100 ) * ( 95 / 100 ) = 3135 x * ( 11 / 10 ) * ( 1 / 100 ) = 33 x = 3000 answer : d\"" - }, - { - "Answer": 13, - "Options": "a ) 18 , b ) 13 , c ) 15 , d ) 17 , e ) 71", - "Correct": "b", - "Explanation": "\"( 45 / 100 ) * 60 \u2013 ( 35 / 100 ) * 40 27 - 14 = 13 answer : b\"" - }, - { - "Answer": 32, - "Options": "a ) 28 % , b ) 30 % , c ) 32 % , d ) 34 % , e ) 40 %", - "Correct": "c", - "Explanation": "1 . 25 % of 400 = 100 pounds of decaffeinated coffee 2 . 60 % of 100 = 60 pounds of decaffeinated coffee 3 . wt have 160 pounds of decaffeinated out of 500 pounds , that means 160 / 500 * 100 % = 32 % . the correct answer is c ." - }, - { - "Answer": 3000, - "Options": "a ) 4000 , b ) 2000 , c ) 3000 , d ) 5000 , e ) 1000", - "Correct": "c", - "Explanation": "\"sol . net growth on x = ( 52 - 16 ) = 36 . net growth on 100 = ( 36 / x \u00e3 \u2014 100 ) % = 1.2 % . then x = 3000 answer : c\"" - }, - { - "Answer": 135, - "Options": "a ) rs . 135 , b ) rs . 96 , c ) rs . 85 , d ) rs . 122 , e ) rs . 142", - "Correct": "a", - "Explanation": "\"explanation : assume that face value = rs . 100 . dividend per share = rs . 9 ( as it is a 9 % stock ) by investing rs . 1800 , he earns rs . 120 investment needed to earn rs . 9 = 1800 \u00d7 9 / 120 = rs . 135 ie , stock is then quoted ( then market value ) = rs . 135 answer : option a\"" - }, - { - "Answer": 15, - "Options": "a ) 10 , b ) 12.5 , c ) 25 , d ) 12 , e ) 15", - "Correct": "e", - "Explanation": "\"s . i = ( p * r * t ) / 100 120 = 800 r / 100 r = 120 / 8 = 15 % answer e\"" - }, - { - "Answer": 4240, - "Options": "a ) $ 3500 , b ) $ 5000 , c ) $ 4240 , d ) $ 7000 , e ) $ 10000", - "Correct": "c", - "Explanation": "\"saving = ( 42 - 32 ) % of 42400 = 4240 . answer : c\"" - }, - { - "Answer": 25, - "Options": "a ) 20 % , b ) 25 % , c ) 30 % , d ) 33 % , e ) 40 %", - "Correct": "b", - "Explanation": "say price at the beginning of year = 100 end of 1 st quarter = 100 + 20 = 120 end of 2 nd quarter = 100 + 50 = 150 percentage increase between 1 st & 2 nd quarter = 150 \u2212 120 / 120 \u2217 100 = 25 answer = b" - }, - { - "Answer": 200, - "Options": "a ) s . 50 , b ) s . 200 , c ) s . 100 , d ) s . 80 , e ) s . 60", - "Correct": "b", - "Explanation": "\"explanation : 25 % of 800 = > 25 / 100 * 800 = rs . 200 answer : b\"" - }, - { - "Answer": 30000, - "Options": "a ) $ 30,000 , b ) $ 30,400 , c ) $ 31,300 , d ) $ 32,500 , e ) $ 35,100", - "Correct": "a", - "Explanation": "\"let the principal amount = p simple annual interest = 9 % simple monthly interest = ( 9 / 12 ) = ( 3 / 4 ) % ( 3 / 4 ) * ( p / 100 ) = 225 = > p = ( 225 * 4 * 10 ^ 2 ) / 3 = 75 * 4 * 10 ^ 2 = 300 * 10 ^ 2 = 30000 answer a\"" - }, - { - "Answer": 720, - "Options": "a ) 333 , b ) 500 , c ) 887 , d ) 720 , e ) 132", - "Correct": "d", - "Explanation": "\"explanation : let the total sale be rs . x . then , 2.5 % . of x = 18 < = > ( 25 / 10 * 1 / 100 * x ) = 18 < = > x = 720 . answer : d\"" - }, - { - "Answer": 4265.73, - "Options": "a ) 3337 , b ) 2782 , c ) 2788 , d ) 4266 , e ) 2321", - "Correct": "d", - "Explanation": "ci = 14800 { [ 1 + 13.5 / 100 ] 2 - 1 } = 14800 { [ 1 + 27 / 200 ] 2 - 1 = 14800 { 2 + 27 / 200 } { 27 / 200 } = ( 74 ) [ 2 + 27 / 200 ] ( 27 ) = 1998 [ 2 + 27 / 200 ] = 3996 + 269.73 = rs . 4266 answer : d" - }, - { - "Answer": 1100, - "Options": "a ) 500 % , b ) 600 % , c ) 800 % , d ) 1100 % , e ) 1200 %", - "Correct": "d", - "Explanation": "say initially population was 100 . what is 200 % of 100 ? it is 200 / 100 * 100 = 200 . an increase of 200 % means the new population became 100 + 200 = 300 what is 300 % of 300 ? it is 300 / 100 * 300 = 900 an increase of 300 % means the new population now is 300 + 900 = 1200 so from 100 , the population increased to 1200 i . e . an increase of 1100 . 1100 is what percent of 100 ? 1100 = x / 100 * 100 i . e . it is 1100 % d" - }, - { - "Answer": 2.1428571428571423, - "Options": "a ) 1.5 , b ) 1.75 , c ) 2.14 , d ) 2.34 , e ) 2.64", - "Correct": "c", - "Explanation": "\"let the total solution is 150 l with 80 l water & 70 l syrup . to make 40 % syrup solution , the result solution must have 90 l syrup and 60 l syrup . therefore we are taking 10 l of syrup from initial solution and replacing with water . using urinary method : 70 l syrup in 150 l solution 10 l syrup in 21.4 l solution we started by multiplying 10 now to get to the result we need to divide by 10 = > amount of solution to be replaced with water = ( 21.4 / 10 ) = 2.14 . correct option : c\"" - }, - { - "Answer": 19.595917942265423, - "Options": "a ) 19.6 m . , b ) 20.0 m . , c ) 19.3 m . , d ) 18.5 m . , e ) 18.9 m .", - "Correct": "a", - "Explanation": "\"let the length and the breadth of the floor be l m and b m respectively . l = b + 200 % of b = l + 3 b = 3 b area of the floor = 640 / 5 = 128 sq m l b = 128 i . e . , l * l / 3 = 128 l 2 = 384 = > l = 19.6 m . answer : a\"" - }, - { - "Answer": 25, - "Options": "a ) rs . 10 , b ) rs . 15 , c ) rs . 20 , d ) rs . 25 , e ) rs . 30", - "Correct": "d", - "Explanation": "explanation : 500 * ( 15 / 100 ) = 75 - - - - 3 ? - - - - 1 = > rs . 25 answer : d" - }, - { - "Answer": 1620, - "Options": "a ) 1410 , b ) 1620 , c ) 1430 , d ) 1440 , e ) 1540", - "Correct": "b", - "Explanation": "\"s . p . = 90 % of rs . 1800 = 90 / 100 x 1800 = rs . 1620 answer : b\"" - }, - { - "Answer": 50, - "Options": "a ) rs . 72 , b ) rs . 36 , c ) rs . 54 , d ) rs . 50 , e ) none", - "Correct": "d", - "Explanation": "\"solution t . d = [ b . g x 100 / r x t ] = rs . ( 6 x 100 / 12 x 1 ) = rs . 50 . answer d\"" - }, - { - "Answer": 140, - "Options": "a ) 83.33 , b ) 110 , c ) 112 , d ) 140 , e ) 160", - "Correct": "d", - "Explanation": "\"solution to earn rs . 10 , money invested = rs . 100 . to earn rs . 14 , money invested = rs . ( 100 / 10 x 14 ) = rs . 140 . \u00e2 \u02c6 \u00b4 market value of rs . 100 stock = rs . 140 answer d\"" - }, - { - "Answer": 125, - "Options": "a ) s . 83.33 , b ) s . 110 , c ) s . 112 , d ) s . 125 , e ) s . 140", - "Correct": "d", - "Explanation": "\"income of rs 20 on investment of rs 100 income of rs 25 on investment of ? = ( 25 * 100 ) / 20 = 125 answer : d\"" - }, - { - "Answer": 55, - "Options": "a ) 28 % , b ) 55 % , c ) 32 % , d ) 36 % , e ) 72 %", - "Correct": "b", - "Explanation": "\"let the initial value of baseball card = 100 after first year , value of baseball card = ( 1 - 50 / 100 ) * 100 = 50 after second year , value of baseball card = ( 1 - 10 / 100 ) * 50 = 45 total percent decrease of the card ' s value over the two years = ( 100 - 45 ) / 100 * 100 % = 55 % answer b\"" - }, - { - "Answer": 0.75, - "Options": "a ) 5 / 16 , b ) 3 / 4 , c ) 9 / 20 , d ) 7 / 10 , e ) 5 / 7", - "Correct": "b", - "Explanation": "\"lets take total employees are 100 . given that , total women = 64 and total married = 60 . total men = 100 - 64 = 36 and single men = 2 / 3 * 36 = 24 . married men = total men - single men = 36 - 24 = 12 . married women = total married - married men = 60 - 12 = 48 . fraction of women are married = married women / total women = 48 / 64 = 3 / 4 . ans b\"" - }, - { - "Answer": 450, - "Options": "a ) 450 , b ) 310 , c ) 250 , d ) 410 , e ) 390", - "Correct": "a", - "Explanation": "\"population in 1 year = 500 ( 1 - 10 / 100 ) = 500 * 90 / 100 = 450 answer is a\"" - }, - { - "Answer": 2.0951704545454546, - "Options": "a ) $ 1.50 , b ) $ 1.88 , c ) $ 2.09 , d ) $ 2.50 , e ) $ 3.25", - "Correct": "c", - "Explanation": "\"6 regular days - - > sales = 6 * 32 * x = 192 x ; 4 hot days - - > sales = 4 * 32 * ( 1.25 x ) = 160 x ; total sales = 192 x + 160 x = 352 x . total cost = 10 * 32 * 0.75 = 240 . profit = 352 x - 240 = 350 - - > x = 1.676 . 1.25 x = ~ 2.09 . answer : c .\"" - }, - { - "Answer": 80, - "Options": "a ) 80 % , b ) 75 % , c ) 70 % , d ) 65 % , e ) 60 %", - "Correct": "a", - "Explanation": "\"the volume of the mixture be x + y . 0.1 x + 0.2 y = 0.12 ( x + y ) x = 4 y x / ( x + y ) = 4 / 5 = 80 % . the answer is a .\"" - }, - { - "Answer": 15, - "Options": "a ) 15 litres , b ) 16 litres , c ) 17 litres , d ) 25 litres , e ) 35 litres", - "Correct": "a", - "Explanation": "present ration of milk to water is 95 : 5 amount of milk is 10 litres hence , pure milk content is 9.5 litre and water content is 0.5 litres now , we should not disturb the water content so , 0.5 litres of water is equivalent to 2 % so 100 % mixture is : ( 0.5 / 2 ) * 100 = 25 litre thus , milk should be added = 25 - 10 = 15 litres of pure milk answer : a" - }, - { - "Answer": 50, - "Options": "a ) 25 % , b ) 40 % , c ) 50 % , d ) 60 % , e ) 75 %", - "Correct": "c", - "Explanation": "\"67.5 % is 12.5 % - points below 80 % and 12.5 % - points above 55 % . so the ratio of solution p to solution q is 1 : 1 . mixture p is 1 / 2 = 50 % of the volume of mixture pq . the answer is c .\"" - }, - { - "Answer": 14.285714285714286, - "Options": "a ) 12.5 % , b ) 13.5 % , c ) 14.2 % , d ) 14.5 % , e ) 21.5 %", - "Correct": "c", - "Explanation": "\"let principal = p , then , s . i . = p and time = 8 years rate = [ ( 100 x p ) / ( p x 8 ) ] % = 14.2 % per annum . answer : c\"" - }, - { - "Answer": 18.9999683334125, - "Options": "a ) 18 , b ) 19 , c ) 20 , d ) 22 , e ) 24", - "Correct": "b", - "Explanation": "\"let the length and the breadth of the floor be l m and b m respectively . l = b + 200 % of b = l + 2 b = 3 b area of the floor = 361 / 3 = 120.33 sq m l b = 120.33 i . e . , l * l / 3 = 120.33 l ^ 2 = 361 = > l = 19 . b\"" - }, - { - "Answer": 2108, - "Options": "a ) 2105 , b ) 1955 , c ) 1945 , d ) 1935 , e ) 2108", - "Correct": "e", - "Explanation": "\"explanation : given year 2080 when divided by 4 , leaves a remainder 0 . note : when remainder is 0 , 28 is added to the given year to get the result . so , 2080 + 28 = 2108 answer : e\"" - }, - { - "Answer": 11.11111111111111, - "Options": "a ) 1.25 % , b ) 3.75 % , c ) 6.25 % , d ) 6.67 % , e ) 11.11 %", - "Correct": "e", - "Explanation": "the remaining solution will be approximately what percent sodium chloride ? means : what percent of the remaining solution is sodium chloride . now , since the remaining solution is 10,000 - 5,500 = 4,500 gallons and sodium chloride is 500 gallons ( 5 % of initial solution of 10,000 gallons ) then sodium chloride is 500 / 4,500 * 100 = ~ 11.11 % of the remaining solution of 4,500 gallons . answer : e ." - }, - { - "Answer": 26.40901771336554, - "Options": "a ) 26.4 % , b ) 21 % , c ) 20 % , d ) 19 % , e ) none of these", - "Correct": "a", - "Explanation": "\"cp = rs . 540 , mp = 540 + 15 % of 540 = rs . 621 sp = rs . 457 , discount = 621 - 457 = 164 discount % = 164 / 621 * 100 = 26.4 % answer : a\"" - }, - { - "Answer": 550, - "Options": "a ) rs . 400 , b ) rs . 450 , c ) rs . 550 , d ) rs . 600 , e ) rs . 650", - "Correct": "c", - "Explanation": "\"find selling price to gain 10 % . now , we are asked to find selling price to gain 10 % profit . hint : selling price = ( 100 + gain % ) \u00d7 c . p . 100 selling price = ( 100 + 10 ) \u00d7 500 100 selling price = ( 110 ) \u00d7 500 100 therefore , selling price = rs . 550 c\"" - }, - { - "Answer": 70, - "Options": "a ) rs 60 , b ) rs 70 , c ) rs 90 , d ) rs 75 , e ) rs 50", - "Correct": "b", - "Explanation": "\"explanation : for an income of rs . 10 , investment = rs . 100 . for an income of rs 7 , investment = rs . 100 / 10 x 7 = rs 70 market value of rs . 100 stock = rs . 70 answer is b\"" - }, - { - "Answer": 930, - "Options": "a ) 288 , b ) 744 , c ) 788 , d ) 298 , e ) 930", - "Correct": "e", - "Explanation": "\"w = 62 % l = 38 % 62 % - 38 % = 24 % 24 % - - - - - - - - 360 62 % - - - - - - - - ? = > 930 answer : e\"" - }, - { - "Answer": 69.07692307692308, - "Options": "a ) 50.4 % , b ) 23.8 % , c ) 66.5 % , d ) 69.0 % , e ) 43.5 %", - "Correct": "d", - "Explanation": "\"let n be the total number of books sold . hence n = 75 + 50 + 64 + 78 + 135 = 402 let m be the books not sold m = 1300 - n = 1300 - 402 = 898 percentage books not sold / total number of books = 898 / 1300 = 0.69 = 69 % correct answer d\"" - }, - { - "Answer": 33.333333333333336, - "Options": "a ) 40 % , b ) 38 % , c ) 36 % , d ) 33.33 % , e ) 35 %", - "Correct": "d", - "Explanation": "\"anyway , in this question , there is no discount but the mark up is given as 25 % of the selling price . so it is not 25 % of $ 150 but instead , 40 % of selling price which is obtained by adding mark up to $ 150 . so if selling price is s , 150 + 25 % of s = s s = 200 profit = 50 which is calculated on cost price in % terms . so 50 / 150 * 100 = 33.33 % is profit . d\"" - }, - { - "Answer": 4400, - "Options": "a ) 4000 , b ) 4100 , c ) 4200 , d ) 4300 , e ) 4400", - "Correct": "e", - "Explanation": "\"let x be the total number of votes . 0.3 x + 1760 = 0.7 x 0.4 x = 1760 x = 1760 / 0.4 = 4400 the answer is e .\"" - }, - { - "Answer": 1750, - "Options": "a ) rs 1650 , b ) rs 1750 , c ) rs 1850 , d ) rs 1950 , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : c . i . = ( 4000 \u00d7 ( 1 + 10 / 100 ) 2 \u2212 4000 ) = 4000 \u2217 11 / 10 \u2217 11 / 10 \u2212 4000 = 840 so s . i . = 840 / 2 = 420 so sum = s . i . \u2217 100 / r \u2217 t = 420 \u2217 100 / 3 \u2217 8 = rs 1750 option b\"" - }, - { - "Answer": 504, - "Options": "a ) $ 503 , b ) $ 504 , c ) $ 505 , d ) $ 506 , e ) $ 507", - "Correct": "b", - "Explanation": "explanation : cash price = $ 21 000 deposit = 10 % \u00d7 $ 21 000 = $ 2100 loan amount = $ 21000 \u2212 $ 2100 = $ 18900 i = p * r * t / 100 i = 11340 total amount = 18900 + 11340 = $ 30240 regular payment = total amount / number of payments answer : b" - }, - { - "Answer": 600, - "Options": "a ) 333 , b ) 600 , c ) 887 , d ) 299 , e ) 132", - "Correct": "b", - "Explanation": "\"explanation : let the total sale be rs . x . then , 2.5 % . of x = 15 < = > ( 25 / 10 * 1 / 100 * x ) = 15 < = > x = 600 . answer : b )\"" - }, - { - "Answer": 1500, - "Options": "a ) $ 1000 , b ) $ 1250 , c ) $ 2500 , d ) $ 1500 , e ) $ 1200", - "Correct": "d", - "Explanation": "\"let a ' s salary is x b ' s salary = 2000 - x ( 100 - 95 ) % of x = ( 100 - 85 ) % of ( 2000 - x ) x = $ 1500 answer is d\"" - }, - { - "Answer": 600, - "Options": "a ) 234 , b ) 600 , c ) 388 , d ) 278 , e ) 129", - "Correct": "b", - "Explanation": "\"explanation : number of shares = = 120 . face value = rs . ( 100 x 120 ) = rs . 12000 . annual income = = rs . 600 answer : b ) rs . 600\"" - }, - { - "Answer": 1300, - "Options": "a ) s . 600 , b ) s . 800 , c ) s . 500 , d ) s . 900 , e ) s . 1300", - "Correct": "e", - "Explanation": "\"let the cost of one toy = x . then , cost of 18 toys = 18 x . gain = 3 x . sp of 18 toys = rs . 27300 . gain = sp \u00e2 \u20ac \u201c cp 3 x = 27300 \u00e2 \u20ac \u201c 18 x 21 x = 27300 x = rs . 1300 . answer : option e\"" - }, - { - "Answer": 2600, - "Options": "a ) 1500 , b ) 2600 , c ) 2507 , d ) 3200 , e ) 11500", - "Correct": "b", - "Explanation": "\"p - 2080 = ( p * 5 * 4 ) / 100 p = 2600 answer : b\"" - }, - { - "Answer": 7499.999999999999, - "Options": "a ) 7500 , b ) 3388 , c ) 2665 , d ) 2888 , e ) 2661", - "Correct": "a", - "Explanation": "35 % - - - - - - - - - - - l 65 % - - - - - - - - - - - w - - - - - - - - - - - - - - - - - - 30 % - - - - - - - - - - 2250 100 % - - - - - - - - - ? = > 7500 answer : a" - }, - { - "Answer": 19.999999999999986, - "Options": "a ) 15 % , b ) 20 % , c ) 40 % , d ) 50 % , e ) 150 %", - "Correct": "b", - "Explanation": "\"let rate in r = 100 x then p = 75 x g = 100 y p = 90 y thus 75 x = 90 y or x = 1.20 y ans r = 120 y so increase = 20 % answer : b .\"" - }, - { - "Answer": 3500.000000000004, - "Options": "a ) 2197 , b ) 1267 , c ) 3500 , d ) 2267 , e ) 1262", - "Correct": "c", - "Explanation": "\"explanation : c . i . = [ 4000 * ( 1 + 10 / 100 ) 2 - 4000 ] = ( 4000 * 11 / 10 * 11 / 10 - 4000 ) = rs . 840 . sum = ( 420 * 100 ) / ( 2 * 6 ) = rs . 3500 answer : c\"" - }, - { - "Answer": 2.909090909090909, - "Options": "a ) 1.91 , b ) 2.91 , c ) 4.91 , d ) 3.91 , e ) 5.91", - "Correct": "b", - "Explanation": "\"40 * ( 40 / 100 ) = 16 - - - 66 ? - - - 12 = > rs . 2.91 answer : b\"" - }, - { - "Answer": 31.000000000000007, - "Options": "a ) 31 % , b ) 34 % , c ) 35 % , d ) 36 % , e ) 37 %", - "Correct": "a", - "Explanation": "\"total men in company 45 % means total women in company 55 % ( assume total people in company 100 % ) no of men employees attended picnic = 45 x ( 20 / 100 ) = 9 no of women employees attend picnic = 55 x ( 40 / 100 ) = 22 total percentage of employees attend the picnic = 9 + 22 = 31 % answer : a\"" - }, - { - "Answer": 300, - "Options": "a ) 238 , b ) 278 , c ) 300 , d ) 166 , e ) 129", - "Correct": "c", - "Explanation": "\"explanation : let the s . p = 100 then c . p . = 25 profit = 75 profit % = ( 75 / 25 ) * 100 = 300 % answer : c\"" - }, - { - "Answer": 25, - "Options": "a ) 5 kg , b ) 15 kg , c ) 25 kg , d ) 30 kg , e ) none", - "Correct": "c", - "Explanation": "\"solution : let rs . 100 be spend on rice initially for 20 kg . as the price falls by 20 % , new price for 20 kg rice , = ( 100 - 20 % of 100 ) = 80 new price of rice = 80 / 20 = rs . 4 per kg . rice can bought now at = 100 / 4 = 25 kg . answer : option c\"" - }, - { - "Answer": 286, - "Options": "a ) 100 , b ) 120 , c ) 200 , d ) 226 , e ) 286", - "Correct": "e", - "Explanation": "\"p = 260 r = 10 % required population of town = p * ( 1 + r / 100 ) ^ t = 260 * ( 1 + 10 / 100 ) = 260 * ( 11 / 10 ) = 286 answer is e\"" - }, - { - "Answer": 11.999999999999996, - "Options": "a ) 9 % , b ) 10 % , c ) 11 % , d ) 12 % , e ) 15 %", - "Correct": "d", - "Explanation": "\"let x be the discount on pony jeans . then 0.22 - x is the discount on fox jeans . 3 ( 0.22 - x ) ( 15 ) + 2 x ( 18 ) = 8.82 9.9 - 45 x + 36 x = 8.82 9 x = 1.08 x = 0.12 the answer is d .\"" - }, - { - "Answer": 650, - "Options": "a ) 228 , b ) 744 , c ) 255 , d ) 650 , e ) 231", - "Correct": "d", - "Explanation": "\"w = 65 % l = 35 % 65 % - 35 % = 30 % 30 % - - - - - - - - 300 65 % - - - - - - - - ? = > 650 answer : d\"" - }, - { - "Answer": 71.99999999999999, - "Options": "a ) 72 , b ) 60 , c ) 90 , d ) 120 , e ) 240", - "Correct": "a", - "Explanation": "\"cost price of 1 pound of bananas = 0.5 / 3 = 1 / 6 selling price of 1 pound of bananas = 1 / 4 profit per pound = ( 1 / 4 - 1 / 6 ) = ( 1 / 12 ) total profit is given as 6 ( 1 / 12 ) * x = 6 x = 72 answer : a\"" - }, - { - "Answer": 13.444444444444445, - "Options": "a ) rs . 13.44 , b ) rs . 12 , c ) rs . 12.25 , d ) rs . 12.31 , e ) none", - "Correct": "a", - "Explanation": "\"solution 90 : 11 = 110 : x x = ( 11 \u00e3 \u2014 110 / 90 ) = rs . 13.44 hence , s . p per kg = rs . 13.44 answer a\"" - }, - { - "Answer": 1360, - "Options": "a ) rs . 1800 , b ) rs . 1450 , c ) rs . 1360 , d ) rs . 6800 , e ) none", - "Correct": "c", - "Explanation": "\"solution sum = s . i xt . d / ( s . i ) - ( t . d ) = 85 x 80 / 85 - 80 = rs . 1360 . answer c\"" - }, - { - "Answer": 12800, - "Options": "a ) 4300 , b ) 4500 , c ) 5120 , d ) 5230 , e ) 12800", - "Correct": "e", - "Explanation": "\"20000 \u00d7 80 / 100 \u00d7 80 / 100 = 12800 answer : e\"" - }, - { - "Answer": 25460.736, - "Options": "a ) 10000 , b ) 25460 , c ) 26709 , d ) 14000 , e ) 14400", - "Correct": "b", - "Explanation": "\"formula : ( after = 100 denominator ago = 100 numerator ) 15540 \u00d7 128 / 100 \u00d7 128 / 100 = 25460 b\"" - }, - { - "Answer": 10, - "Options": "a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 30 %", - "Correct": "a", - "Explanation": "t = 10 years p = principle amount = x a = total amount = 2 x si = simple interest = a - p = 2 x - x = x r = 100 si / pt = 100 x / 10 x = 10 % answer is a" - }, - { - "Answer": 28.888888888888886, - "Options": "a ) 28.9 % , b ) 22 % , c ) 28 % , d ) 45 % , e ) 32 %", - "Correct": "a", - "Explanation": "\"4500 - - - - 1300 100 - - - - ? = > 28.9 % answer : a\"" - }, - { - "Answer": 800, - "Options": "a ) 344 , b ) 600 , c ) 200 , d ) 800 , e ) 700", - "Correct": "d", - "Explanation": "explanation : let original cost price is x its selling price = ( 105 / 100 ) * x = 21 x / 20 new cost price = ( 95 / 100 ) * x = 19 x / 20 new selling price = ( 110 / 100 ) * ( 19 x / 20 ) = 209 x / 200 [ ( 21 x / 20 ) - ( 209 x / 200 ) ] = 4 = > x = 800 answer : d ) rs 800" - }, - { - "Answer": 675, - "Options": "a ) 600 , b ) 887 , c ) 256 , d ) 654 , e ) 675", - "Correct": "e", - "Explanation": "\"cost price = rs . 500 profit = 35 % of 500 = rs . 175 selling price = cost price + profit = 500 + 175 = 675 answer : e\"" - }, - { - "Answer": 50, - "Options": "a ) 28.5 , b ) 27.675 , c ) 30 , d ) 50 , e ) none of these", - "Correct": "d", - "Explanation": "\"giving no discount to customer implies selling the product on printed price . suppose the cost price of the article is 100 . then printed price = 100 \u00e3 \u2014 ( 100 + 42.5 ) / ( 100 \u00e2 \u02c6 \u2019 5 ) = 150 hence , required % profit = 150 \u00e2 \u20ac \u201c 100 = 50 % answer d\"" - }, - { - "Answer": 33.333333333333336, - "Options": "a ) 20 % , b ) 33.3 % , c ) 40 % , d ) 60 % , e ) 66.6 %", - "Correct": "b", - "Explanation": "\"let the price of a ticket be rs . 100 , so 6 tickets cost 600 & 9 tickets cost 900 9 tickets purchased at price of 6 tickets ie . , for 600 , so amount saved s rs . 300 , % of 9 tickets = ( 300 / 900 ) * 100 = 33.3 % answer : b\"" - }, - { - "Answer": 1195, - "Options": "a ) a ) 1190 , b ) b ) 1065 , c ) c ) 1070 , d ) d ) 1075 , e ) e ) 1080", - "Correct": "a", - "Explanation": "\"cost of 10 kg grapes = 70 \u00d7 10 = 700 . cost of 9 kg of mangoes = 55 \u00d7 9 = 490 . total cost he has to pay = 700 + 490 = 1190 a\"" - }, - { - "Answer": 12, - "Options": "a ) 12 , b ) 15 , c ) 20 , d ) 24 , e ) 30", - "Correct": "a", - "Explanation": "\"60 liters of a 40 % hno 3 solution means hno 3 = 24 liters in 60 liters of the solution . now , let x be the pure hno 3 added . as per question , 24 + x = 50 % of ( 60 + x ) or x = 12 . hence , a\"" - }, - { - "Answer": 8, - "Options": "a ) 1 % , b ) 8 % , c ) 12 % , d ) 5 % , e ) 4 %", - "Correct": "b", - "Explanation": "let the total income be x then , income left = ( 100 - 80 ) % of x - [ 100 - ( 35 + 25 ) ] % of x = 20 % of 40 % of x = 8 % of x answer is b" - }, - { - "Answer": 0.8000000000000682, - "Options": "a ) 0.2 , b ) 1.2 , c ) 3 , d ) 4 , e ) 0.8", - "Correct": "e", - "Explanation": "\"500 = d ( 100 / 4 ) 2 d = 0.8 answer : e\"" - }, - { - "Answer": 342, - "Options": "a ) 166 , b ) 178 , c ) 342 , d ) 199 , e ) 112", - "Correct": "c", - "Explanation": "\"400 * ( 90 / 100 ) * ( 95 / 100 ) = 342 answer : c\"" - }, - { - "Answer": 6.2, - "Options": "a ) 4.25 , b ) 5 , c ) 6.2 , d ) 7 , e ) 7.5", - "Correct": "c", - "Explanation": "\"required run rate = 282 - ( 3.4 x 10 ) = 248 248 / 40 = 6.2 c )\"" - }, - { - "Answer": 6, - "Options": "a ) 2 , b ) 4 , c ) 5 , d ) 6 , e ) 8", - "Correct": "d", - "Explanation": "\"for lost , use negative . for gain , use positive . progress = - 5 + 11 = 6 yards d\"" - }, - { - "Answer": 10037.768279168647, - "Options": "a ) 10058 , b ) 10068 , c ) 10078 , d ) 10088 , e ) 10038", - "Correct": "e", - "Explanation": "x * ( 85 / 100 ) * ( 85 / 100 ) * ( 90 / 100 ) * ( 85 / 100 ) = 5548 x * 0.85 * 0.85 * 0.9 * 0.85 = 5548 x = 5548 / 0.5527 x = 10038 answer : e" - }, - { - "Answer": 92, - "Options": "a ) 80 , b ) 86 , c ) 92 , d ) 98 , e ) 104", - "Correct": "c", - "Explanation": "\"l + k = 160 and so k = 160 - l l + 10 = 1.5 k = 1.5 ( 160 - l ) 2.5 l = 230 l = 92 the answer is c .\"" - }, - { - "Answer": 240, - "Options": "a ) 270 , b ) 380 , c ) 260 , d ) 360 , e ) 240", - "Correct": "e", - "Explanation": "\"explanation : 40 % = 40 * 4 = 160 60 % = 60 * 4 = 240 answer : option e\"" - }, - { - "Answer": 24, - "Options": "a ) 24 , b ) 33 , c ) 39 , d ) 40 , e ) 42", - "Correct": "a", - "Explanation": "cost + profit = sales cost + ( 120 / 100 ) cost = 44 cost = 20 profit = 44 - 20 = 24 answer ( a )" - }, - { - "Answer": 1190, - "Options": "a ) rs . 1200 , b ) rs . 890 , c ) rs . 600 , d ) rs . 1190 , e ) rs . 450", - "Correct": "d", - "Explanation": "\"explanation : s . p . = 85 % of rs . 1400 = rs . ( 85 / 100 * 1400 ) = rs . 1190 answer : d\"" - }, - { - "Answer": 864, - "Options": "a ) 776 , b ) 864 , c ) 299 , d ) 257 , e ) 125", - "Correct": "b", - "Explanation": "\"w = 60 % l = 40 % 60 % - 40 % = 20 % 20 % - - - - - - - - 288 60 % - - - - - - - - ? = > 864 answer : b\"" - }, - { - "Answer": 17.580645161290324, - "Options": "a ) 16 % , b ) 17.5 % , c ) 18.2 % , d ) 58.5 % , e ) 13 %", - "Correct": "b", - "Explanation": "\"total cp = rs . 48000 + rs . 14000 = rs . 62000 and sp = rs . 72900 profit ( % ) = ( 72900 - 62000 ) / 62000 * 100 = 17.5 % answer : b\"" - }, - { - "Answer": 1600.000000000001, - "Options": "a ) 1600 , b ) 1700 , c ) 1800 , d ) 1900 , e ) 2000", - "Correct": "a", - "Explanation": "\"( x * 5 * 1 ) / 100 + [ ( 2600 - x ) * 6 * 1 ] / 100 = 140 x = 1600 answer : a\"" - }, - { - "Answer": 42, - "Options": "a ) 22 , b ) 28 , c ) 99 , d ) 42 , e ) 66", - "Correct": "d", - "Explanation": "\"speed ratio = 1 : 7 / 6 = 6 : 7 time ratio = 7 : 6 1 - - - - - - - - 7 6 - - - - - - - - - ? = 42 m answer : d\"" - }, - { - "Answer": 30, - "Options": "a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70", - "Correct": "a", - "Explanation": "\"let c . p = 100 gain = 25 % s . p = 125 supposed c . p = 80 gain = 30 % s . p = ( 130 * 80 ) / 100 = 104 diff = ( 125 - 104 ) = 21 diff 21 when c . p = 100 then diff 6.30 when c . p = ( 100 * 6.30 ) / 21 = 30 answer : a\"" - }, - { - "Answer": 260, - "Options": "a ) 160 , b ) 210 , c ) 260 , d ) 310 , e ) 360", - "Correct": "c", - "Explanation": "\"the area of a circle is pir ^ 2 , where r is the radius . the area of the big circle is 36 pi . the area of the small circle is 16 pi . the area a 1 between the circles is 20 pi . when the big circle ' s radius increases , the new area is 81 pi . when the small circle ' s radius decreases , the new area is 9 pi . the area a 2 between the circles is 72 pi . the ratio of a 2 / a 1 is 72 / 20 = 3.6 which is an increase of 260 % . the answer is c .\"" - }, - { - "Answer": 3.888888888888889, - "Options": "a ) 3.5 , b ) 3.75 , c ) 3.88 , d ) 4.25 , e ) 4.5", - "Correct": "c", - "Explanation": "( 1000 xtx 3 / 100 ) + ( 1200 xtx 5 / 100 ) = 350 \u00e2 \u2020 \u2019 t = 3.88 answer c" - }, - { - "Answer": 10.25, - "Options": "a ) 10.06 % , b ) 10.25 % , c ) 10.35 % , d ) 16.09 % , e ) 16.19 %", - "Correct": "b", - "Explanation": "\"amount of rs . 100 for 1 year when compounded half - yearly = [ 100 * ( 1 + 5 / 100 ) 2 ] = rs . 110.25 effective rate = ( 110.25 - 100 ) = 10.25 % answer : b\"" - }, - { - "Answer": 23100, - "Options": "a ) 34778 , b ) 26888 , c ) 22899 , d ) 23100 , e ) 32778", - "Correct": "d", - "Explanation": "\"price at which the tv set is bought = rs . 16,500 discount offered = 20 % marked price = 16500 * 100 / 80 = rs . 20625 the total amount spent on transport and installation = 125 + 250 = rs . 375 \\ total price of tv set = 20625 + 375 = rs . 21000 the price at which the tv should be sold to get a profit of 10 % if no discount was offered = 21000 * 110 / 100 = rs . 23100 answer : d\"" - }, - { - "Answer": 50.000000000000014, - "Options": "a ) 20 , b ) 30 , c ) 35 , d ) 40 , e ) 50", - "Correct": "e", - "Explanation": "\"there are 10 books less ( 75 - 65 ) which represents 20 % of the loaned books ( 100 - 80 ) so total loaned out books = 50 answer e\"" - }, - { - "Answer": 6525, - "Options": "a ) 7297 , b ) 2977 , c ) 2871 , d ) 6725 , e ) 6525", - "Correct": "e", - "Explanation": "\"explanation : cp = sp * ( 100 / ( 100 + profit % ) ) = 8091 ( 100 / 124 ) = rs . 6525 . answer : e\"" - }, - { - "Answer": 4800, - "Options": "a ) 1978 , b ) 2707 , c ) 7728 , d ) 4800 , e ) 7291", - "Correct": "d", - "Explanation": "20 : 25 = > 4 : 5 9600 * 10 / 100 = 960 9600 - 960 = 8640 8640 * 4 / 9 = 3840 + 960 = 4800 answer : d" - }, - { - "Answer": 98, - "Options": "a ) 80 , b ) 86 , c ) 92 , d ) 98 , e ) 104", - "Correct": "d", - "Explanation": "\"l + k = 170 and so k = 170 - l l + 10 = 1.5 k = 1.5 ( 170 - l ) 2.5 l = 245 l = 98 the answer is d .\"" - }, - { - "Answer": 42.00000000000004, - "Options": "a ) 24 , b ) 34.8 , c ) 37.8 , d ) 42 , e ) 84", - "Correct": "d", - "Explanation": "\"the difference between the amounts john paid and jane paid is the deference between 15 % of p and 15 % of 0.9 p : 0.15 p - 0.15 * 0.9 p = 0.63 - - > 15 p - 13.5 p = 63 - - > p = 42 . answer : d .\"" - }, - { - "Answer": 5, - "Options": "a ) 1.2 % , b ) 2 % , c ) 4 % , d ) 5 % , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : hint : if sum of money becomes ( z times ) in ( t ) years at simple interest , then rate of interest ( r ) can be calculated using the formula : rate of interest ( r ) % = 100 ( z \u2013 1 ) / t here , principal amount is not given . hence , we can directly use the trick to calculate the rate of interest . rate of interest ( r ) % = 100 ( 2 \u2013 1 ) / 20 rate of interest ( r ) % = 5 % p . a . answer is d\"" - }, - { - "Answer": 285.8333333333333, - "Options": "a ) 337.83 , b ) 285.83 , c ) 284.83 , d ) 266.83 , e ) 299.83", - "Correct": "b", - "Explanation": "\"x * ( 85 / 100 ) = ( 490 - x ) 119 / 100 x = 285.83 answer : b\"" - }, - { - "Answer": 16, - "Options": "a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20", - "Correct": "c", - "Explanation": "\"explanation : please always remember , that what exactly we need to calculate before applying chain formula . as in this question we need to find how many mats , right ! so we will compare everything with ` ` number of mats ' ' as , more men , more number of mats ( direct proportion ) more days , more number of mats ( direct proportion ) so , it can be solved as , [ weavers 4 4 days 8 8 ] : : 4 : x = > x \u2217 4 \u2217 4 = 8 \u2217 8 \u2217 4 = > x = 16 option c\"" - }, - { - "Answer": 925, - "Options": "a ) $ 850 , b ) $ 875 , c ) $ 900 , d ) $ 925 , e ) $ 950", - "Correct": "d", - "Explanation": "\"let x be the cost price . 1.2 x = 1110 x = 1110 / 1.2 = 925 the answer is d .\"" - }, - { - "Answer": 0.51, - "Options": "a ) 0.49 , b ) 0.48 , c ) 0.41 , d ) 0.482 , e ) 0.51", - "Correct": "e", - "Explanation": "\"explanation : probability that a speaks truth is 85 / 100 = 0.85 probability that b speaks truth is 60 / 100 = 0.6 since both a and b are independent of each other so probability of a intersection b is p ( a ) \u00d7 p ( b ) = 0.85 \u00d7 0.6 = 0.51 answer : e\"" - }, - { - "Answer": 62.5, - "Options": "a ) 33.3 % , b ) 40 % , c ) 50 % , d ) 60 % , e ) 62.5 %", - "Correct": "e", - "Explanation": "\"0.25 p = rt + c 0.6 ( rt ) = no c = > 0.40 ( rt ) had c 0.25 p = 0.40 ( rt ) rt / p = 62.5 % answer - e\"" - }, - { - "Answer": 70, - "Options": "a ) 46 % , b ) 52 % , c ) 58 % , d ) 64 % , e ) 70 %", - "Correct": "e", - "Explanation": "the percent of the population who are employed females is 70 - 21 = 49 % the percent of employed people who are female is 49 % / 70 % = 70 % . the answer is e ." - }, - { - "Answer": 32, - "Options": "a ) 17.5 % , b ) 24 % , c ) 30 % , d ) 32 % , e ) 38 %", - "Correct": "d", - "Explanation": "\"suppose enrollment in 1991 was 100 then enrollment in 1992 will be 120 and enrollment in 1993 will be 120 * 1.10 = 132 increase in 1993 from 1991 = 132 - 100 = 32 answer : d\"" - }, - { - "Answer": 15.999999999999995, - "Options": "a ) 12 % , b ) 16 % , c ) 20 % , d ) 24 % , e ) 28 %", - "Correct": "b", - "Explanation": "\"let x be the cost price of one article . let y be the selling price of one article . 50 y = 58 x y = 1.16 x the answer is b .\"" - }, - { - "Answer": 31, - "Options": "a ) 25 , b ) 31 , c ) 18 , d ) 19 , e ) 01", - "Correct": "b", - "Explanation": "\"explanation : dividend on 1 share = ( 15.5 * 50 ) / 100 = rs . 7.75 rs . 25 is income on an investment of rs . 100 rs . 7.75 is income on an investment of rs . ( 7.75 * 100 ) / 25 = rs . 31 answer : b\"" - }, - { - "Answer": 35.581395348837205, - "Options": "a ) 32 % , b ) 34.4 % , c ) 35 % , d ) 35.6 % , e ) 36.4 %", - "Correct": "d", - "Explanation": "\"( 1 ) when 30 and 40 has equal weight or weight = 1 / 2 , the answer would be 35 . ( 2 ) when 40 has larger weight than 30 , the answer would be in between 35 and 40 . unfortunately , we have 2 answer choices d and e that fit that condition so we need to narrow down our range . ( 3 ) get 72000 / 129000 = 24 / 43 . 24 / 43 is a little above 24 / 48 = 1 / 2 . thus , our answer is just a little above 35 . answer : d\"" - }, - { - "Answer": 1100, - "Options": "a ) 1100 , b ) 1200 , c ) 1300 , d ) 1400 , e ) 1700", - "Correct": "a", - "Explanation": "( x * 5 * 1 ) / 100 + [ ( 1600 - x ) * 6 * 1 ] / 100 = 85 5 x / 100 + ( 9600 \u2013 6 x ) / 100 = 85 = > x = 1100 answer : a" - }, - { - "Answer": 23.076923076923077, - "Options": "a ) 23.5 % , b ) 24.5 % , c ) 23.1 % , d ) 25.5 % , e ) 26.5 %", - "Correct": "c", - "Explanation": "12 * 10 + 30 = 150 . ( 30 / 130 ) * 100 = 23.1 answer : c" - }, - { - "Answer": 2000, - "Options": "a ) 550 , b ) 2000 , c ) 250 , d ) 3000 , e ) 400", - "Correct": "b", - "Explanation": "\"by investing $ 136 , income obtained = $ 40 . by investing $ 6800 , income obtained = $ [ ( 40 / 136 ) * 6800 ] = $ 2000 . answer b .\"" - }, - { - "Answer": 40, - "Options": "a ) 20 , b ) 30 , c ) 35 , d ) 40 , e ) 55", - "Correct": "d", - "Explanation": "\"the total number of books is 75 . let x be the number of books which were loaned out . 65 % of books that were loaned out are returned . 35 % of books that were loaned out are not returned . now , there are 61 books , thus the number of un - returned books is 75 - 61 = 14 books . 0.35 x = 14 x = 40 the answer is d .\"" - }, - { - "Answer": 1408, - "Options": "a ) 1410 , b ) 1420 , c ) 1430 , d ) 1408 , e ) 1540", - "Correct": "d", - "Explanation": "s . p . = 88 % of rs . 1600 = 88 / 100 x 1600 = rs . 1408 answer : d" - }, - { - "Answer": 0.40000000000000013, - "Options": "a ) $ 0.32 , b ) $ 0.40 , c ) $ 0.45 , d ) $ 0.48 , e ) $ 0.54", - "Correct": "b", - "Explanation": "\"if steve and david submit separate orders , each would be smaller than 100 photocopies , so no discount . each would pay ( 80 ) * ( $ 0.02 ) = $ 1.60 , or together , a cost of $ 3.20 - - - that ' s the combined ` ` no discount cost ' ' . if they submit things together as one big order , they get a discount off of that $ 3.20 price - - - - 25 % or 1 / 4 of that is $ 0.80 , the discount on the combined sale . they each effective save half that amount , or $ 0.40 . answer = ( b ) .\"" - }, - { - "Answer": 600, - "Options": "a ) 234 , b ) 600 , c ) 388 , d ) 278 , e ) 129", - "Correct": "b", - "Explanation": "explanation : number of shares = = 120 . face value = rs . ( 100 x 120 ) = rs . 12000 . annual income = = rs . 600 answer : b ) rs . 600" - }, - { - "Answer": 535.6521739130435, - "Options": "a ) 500 , b ) 334 , c ) 555 , d ) 536 , e ) 5598", - "Correct": "d", - "Explanation": "\"110 % of s . p . = 616 s . p . = ( 616 * 100 ) / 110 = rs . 560 c . p = ( 110 * 560 ) / 115 = rs . 536 answer : option d\"" - }, - { - "Answer": 21.500000000000004, - "Options": "a ) 8 % , b ) 10 % , c ) 11 % , d ) 15 % , e ) 21.5 %", - "Correct": "e", - "Explanation": "\"explanation : marked price = rs . 30 c . p . = 100 / 135 * 30 = rs . 22.22 sale price = 90 % of rs . 30 = rs . 27 required gain % = 4.77 / 22.22 * 100 = 21.5 % . answer : e\"" - }, - { - "Answer": 59.450000000000045, - "Options": "a ) s . 59.45 , b ) s . 56.22 , c ) s . 51.219 , d ) s . 59.18 , e ) s . 51.11", - "Correct": "a", - "Explanation": "\"explanation : sum = ( 58 * 100 ) / ( 2 * 5 ) = rs . 580 amount = [ 580 * ( 1 + 5 / 100 ) 2 ] = rs . 639.45 c . i . = ( 639.45 - 580 ) = rs . 59.45 answer : a\"" - }, - { - "Answer": 36100, - "Options": "a ) $ 36540 , b ) $ 36100 , c ) $ 29580 , d ) $ 31256 , e ) $ 41250", - "Correct": "b", - "Explanation": "\"p = $ 40000 r = 5 % t = 2 years machine value after 3 years = p / ( 1 - r / 100 ) ^ t = 40000 * 19 / 20 * 19 / 20 * 19 / 20 = $ 36100 answer is b\"" - }, - { - "Answer": 3749.999999999999, - "Options": "a ) 2377 , b ) 3750 , c ) 2997 , d ) 2677 , e ) 1987", - "Correct": "b", - "Explanation": "let the sum invested at 9 % be rs . x and that invested at 11 % be rs . ( 10000 - x ) . then , ( x * 9 * 1 ) / 100 + [ ( 10000 - x ) * 11 * 1 ] / 100 = ( 10000 * 39 / 4 * 1 / 100 ) ( 9 x + 110000 - 11 x ) / 100 = 3900 / 4 = 975 ( 9 x + 110000 - 11 x ) = 97500 x = 6250 sum invested at 9 % = rs . 6250 sum invested at 11 % = rs . ( 10000 - 6250 ) = rs . 3750 . answer : b" - }, - { - "Answer": 330, - "Options": "a ) 100 , b ) 120 , c ) 200 , d ) 220 , e ) 330", - "Correct": "e", - "Explanation": "p = 300 r = 10 % required population of town = p * ( 1 + r / 100 ) ^ t = 300 * ( 1 + 10 / 100 ) = 300 * ( 11 / 10 ) = 330 answer is e" - }, - { - "Answer": 2500, - "Options": "a ) 1000 , b ) 2998 , c ) 2500 , d ) 2788 , e ) 2991", - "Correct": "c", - "Explanation": "\"90 % 110 % - - - - - - - - 20 % - - - - 500 100 % - - - - ? = > rs . 2500 answer : c\"" - }, - { - "Answer": 4, - "Options": "a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", - "Correct": "b", - "Explanation": "\"624 / 600 = 1.04 the answer is b .\"" - }, - { - "Answer": 320, - "Options": "a ) s . 429 , b ) s . 480 , c ) s . 320 , d ) s . 128 , e ) s . 419", - "Correct": "c", - "Explanation": "\"sp = 800 profit = 25 % cp = ( sp ) * [ 100 / ( 100 + p ) ] = 800 * [ 100 / 125 ] = 640 loss = 50 % = 50 % of 640 = rs . 320 sp = cp - loss = 640 - 320 = rs . 320 answer : c\"" - }, - { - "Answer": 80, - "Options": "a ) 40 % , b ) 50 % , c ) 60 % , d ) 80 % , e ) 90 %", - "Correct": "d", - "Explanation": "let t be the total number of passengers . let x be the number of people with round trip tickets . 0.4 t had round trip tickets and took their cars . 0.5 x had round trip tickets and took their cars . 0.5 x = 0.4 t x = 0.8 t the answer is d ." - }, - { - "Answer": 72.96, - "Options": "a ) $ 30.60 , b ) $ 60.60 , c ) $ 72.96 , d ) $ 40.60 , e ) $ 50.60", - "Correct": "c", - "Explanation": "the tip is 20 % of what he paid for lunch . hence tip = 20 % of 60.80 = ( 20 / 100 ) * 60.80 = $ 12.16 total spent 60.80 + 12.16 = $ 72.96 correct answer c" - }, - { - "Answer": 12.480564970698127, - "Options": "a ) 12.5 , b ) 15 , c ) 18 , d ) 19 , e ) 25", - "Correct": "a", - "Explanation": "\"18 ^ 2 - 6 ^ 2 = 288 it means that the height is equal to 16.9 . since the top of the ladder slips down 4 feet , then the height of the wall = 16.9 - 4 = 12.9 the bottom = sqrt ( 18 ^ 2 - 12.9 ^ 2 ) = sqrt ( 324 - 166.41 ) = 12.5 ans is a\"" - }, - { - "Answer": 9.333333333333334, - "Options": "a ) 9.4 % , b ) 9.33 % , c ) 9.6 % , d ) 9.8 % , e ) 10 %", - "Correct": "b", - "Explanation": "\"the amount of chromium in the new 15 + 30 = 45 kg alloy is 0.12 * 15 + 0.08 * 30 = 4.2 kg , so the percentage is 4.2 / 45 * 100 = 9.33 % . answer : b .\"" - }, - { - "Answer": 4, - "Options": "a ) 4 , b ) 5 , c ) 56 , d ) 2 , e ) 7", - "Correct": "a", - "Explanation": "\"explanation : let the price be = rs . 100 , and number of units sold = 100 then , sale value = rs . ( 100 \u00d7 100 ) = rs . 10000 new sale value = rs . ( 130 \u00d7 80 ) = rs . 10400 increase % = 4001000040010000 \u00d7 100 = 4 % answer : a\"" - }, - { - "Answer": 416.6666666666667, - "Options": "a ) 360 , b ) 380 , c ) 400 , d ) 416 , e ) 412", - "Correct": "d", - "Explanation": "\"mr . john used to purchase certain number of mangoes for $ 360 since the price of mangoes is reduced by 10 % he got 12 more mangoes today . find the original price of 120 mangoes . method 1 : let price per mango = x . let number of mangoes be n . then , nx = 360 . now price = 0.9 x ; number of mangoes = n + 12 . total amount = 0.9 x * ( n + 12 ) = 360 . nx = 0.9 nx + 10.8 x = > 0.1 nx = 10.8 x = > n = 108 = > x = 360 / 108 = 3.33 original price of 125 mangoes = 125 * 3.33 = 416 . answer d\"" - }, - { - "Answer": 10.6, - "Options": "a ) 16.5 , b ) 13.2 , c ) 10.6 , d ) 11.2 , e ) 7.25", - "Correct": "c", - "Explanation": "required run rate = 400 - ( 5.4 x 25 ) / 25 = 265 / 25 = 10.6 option c" - }, - { - "Answer": 3630, - "Options": "a ) 3630 , b ) 3877 , c ) 2667 , d ) 2977 , e ) 2378", - "Correct": "a", - "Explanation": "\"explanation : 6300 : 4200 : 10500 3 : 2 : 5 3 / 10 * 12100 = 3630 answer : a\"" - }, - { - "Answer": 1000, - "Options": "a ) s . 600 , b ) s . 800 , c ) s . 500 , d ) s . 900 , e ) s . 1000", - "Correct": "e", - "Explanation": "\"let the cost of one toy = x . then , cost of 18 toys = 18 x . gain = 3 x . sp of 18 toys = rs . 21000 . gain = sp \u00e2 \u20ac \u201c cp 3 x = 21000 \u00e2 \u20ac \u201c 18 x 21 x = 21000 x = rs . 1000 . answer : option e\"" - }, - { - "Answer": 119, - "Options": "a ) 109 , b ) 119 , c ) 129 , d ) 139 , e ) 149", - "Correct": "b", - "Explanation": "45 + 23 + 15 = 83 % 100 \u2013 83 = 17 % 700 * 17 / 100 = 119 the answer is b ." - }, - { - "Answer": 154, - "Options": "a ) 150 , b ) 120 , c ) 154 , d ) 160 , e ) 210", - "Correct": "c", - "Explanation": "125 % of 120 % of a = 231 125 / 100 * 120 / 100 * a = 231 a = 231 * 2 / 3 = 154 . answer c" - }, - { - "Answer": 55.333333333333336, - "Options": "a ) 50.4 % , b ) 23.8 % , c ) 66.5 % , d ) 34.9 % , e ) 55.3 %", - "Correct": "e", - "Explanation": "\"let n be the total number of books sold . hence n = 75 + 50 + 64 + 78 + 135 = 402 let m be the books not sold m = 900 - n = 900 - 402 = 498 percentage books not sold / total number of books = 498 / 900 = 0.553 = 55.3 % correct answer e\"" - }, - { - "Answer": 350.00000000000006, - "Options": "a ) 70 , b ) 245 , c ) 150 , d ) 35 , e ) 350", - "Correct": "e", - "Explanation": "\"since 30 % of the boys from school a study science , then 70 % of the boys from school a do not study science and since 20 % of the total number of boys are from school a , then 0.2 * 0.7 = 0.14 , or 14 % of the boys in the camp are from school a and do not study science . we are told that this number equals to 49 , so 0.14 * { total } = 49 - - > { total } = 350 . answer : e .\"" - }, - { - "Answer": 1.6, - "Options": "a ) 2 litres , b ) 1.4 litres , c ) 1 litres , d ) 1.6 litres , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : quantity of pure acid = 8 \u00d7 ( 20 / 100 ) = 1.6 answer : option d\"" - }, - { - "Answer": 960, - "Options": "a ) 277 , b ) 960 , c ) 277 , d ) 266 , e ) 121", - "Correct": "b", - "Explanation": "\"let c . p . = rs . x . then , 832 - x = x - 448 2 x = 1280 = > x = 640 required s . p . = 150 % of rs . 640 = 150 / 100 * 640 = rs . 960 . answer : b\"" - }, - { - "Answer": 125, - "Options": "a ) 125 , b ) 52 , c ) 58 , d ) 60 , e ) 62", - "Correct": "a", - "Explanation": "solution solution let the number be x . x - 16 % of x = 105 x - 16 / 100 x = 105 x - 4 / 25 x = 105 21 / 25 x = 105 x = ( 105 x 25 / 21 ) = 125 answer a" - }, - { - "Answer": 17.012448132780083, - "Options": "a ) 10 , b ) 20 , c ) 30 , d ) 17 , e ) 50", - "Correct": "d", - "Explanation": "\"his height was = 5 feet 8 inch = 8 + 60 = 68 inch . required % correction = 68 * ( 1.25 - 1 ) = 17 d\"" - }, - { - "Answer": 10680, - "Options": "a ) 9680 , b ) 10680 , c ) 2999 , d ) 2774 , e ) 1212", - "Correct": "b", - "Explanation": "\"( 8000 * 3 * 2 ) / 100 = 480 10200 - - - - - - - - 10680 answer : b\"" - }, - { - "Answer": 1833.3333333333335, - "Options": "a ) 3000.33 , b ) 2802.33 , c ) 1833.33 , d ) 2990.33 , e ) 2982.33", - "Correct": "c", - "Explanation": "c . i . = [ 8000 * ( 1 + 20 / 100 ) 2 - 8000 ] = ( 8000 * 6 / 5 * 6 / 5 - 8000 ) = rs . 3520 . sum = ( 3520 * 100 ) / ( 6 * 16 ) = rs . 1833.33 answer : c" - }, - { - "Answer": 20999.999999999985, - "Options": "a ) 21000 , b ) 21009 , c ) 21029 , d ) 21298 , e ) 21098", - "Correct": "a", - "Explanation": "let the cost prices of the colour television sold at 30 % profit and 40 % profit be rs . x and rs . ( 35000 - x ) respectively . total selling price of televisions = x + 30 / 100 x + ( 35000 - x ) + 40 / 100 ( 35000 - x ) = > 130 / 100 x + 140 / 100 ( 35000 - x ) = 35000 + 32 / 100 ( 35000 ) x = 28000 35000 - x = 7000 difference in the cost prices of televisions = rs . 21000 answer : a" - }, - { - "Answer": 1400, - "Options": "a ) 1200 , b ) 1764 , c ) 1400 , d ) 1354 , e ) none of these", - "Correct": "c", - "Explanation": "explanation : let p . w . be rs . x . then , s . i . on rs . x at 16 % for 9 months = rs . 150 . x \u00e3 \u2014 16 \u00e3 \u2014 ( 9 / 12 ) \u00e3 \u2014 ( 1 / 100 ) = 150 or x = 1250 . p . w . = rs . 1250 sum due = p . w . + t . d . = rs . ( 1250 150 ) = rs . 1400 answer : c" - }, - { - "Answer": 38, - "Options": "a ) 25 , b ) 18 , c ) 11 , d ) 38 , e ) 0", - "Correct": "d", - "Explanation": "answer : d were looking for the number of cars with a cd player but no other features . we know that 40 % of the cars have a cd player , 15 % have a cd player and anti - lock brakes , while 22 % have a cd player and power windows . since no car has all three features , those account for all of the possibilities except for what were looking for . if a car has a cd player , it must either have anti - lock brakes , power windows , or no other features . since the total of cars with a cd player is 75 % , we can set up the following equation : 75 = 15 + 22 + x x = 38 , choiced ." - }, - { - "Answer": 100, - "Options": "a ) s . 520 , b ) s . 480 , c ) s . 420 , d ) s . 100 , e ) s . 200", - "Correct": "d", - "Explanation": "explanation : si in 2 years = rs . 20 , si in 1 year = rs . 10 ci in 2 years = rs . 22 % rate per annum = [ ( ci \u2013 si ) / ( si in 1 year ) ] * 100 = [ ( 22 \u2013 20 ) / 20 ] * 100 = 10 % p . a . let the principal be rs . x time = t = 2 years % rate = 10 % p . a . si = ( prt / 100 ) 20 = ( x * 10 * 2 ) / 100 x = rs . 100 answer : d" - }, - { - "Answer": 16.666666666666664, - "Options": "a ) 16.66 % , b ) 17.66 % , c ) 18.66 % , d ) 19.66 % , e ) 20.66 %", - "Correct": "a", - "Explanation": "\"let the cp of each pen be rs . 1 . cp of 90 pens = rs . 90 profit = cost of 15 pens = rs . 15 profit % = 15 / 90 * 100 = 16.66 % answer : a\"" - }, - { - "Answer": 76.92307692307693, - "Options": "a ) $ 120 , b ) $ 100 , c ) $ 91 , d ) $ 77 , e ) $ 69", - "Correct": "d", - "Explanation": "\"cost price = selling price * 100 / ( 100 + profit ) c . p . = 100 * 100 / 130 = $ 77 ( approximately ) answer is d\"" - }, - { - "Answer": 2400, - "Options": "a ) 1600 , b ) 1800 , c ) 2000 , d ) 2200 , e ) 2400", - "Correct": "e", - "Explanation": "\"let v be the total number of votes . 0.2 v = 480 v = 2400 the answer is e .\"" - }, - { - "Answer": 25, - "Options": "a ) 12 % , b ) 12.5 % , c ) 67 % , d ) 25 % , e ) 33 %", - "Correct": "d", - "Explanation": "\"lets assume the principal amount ( initial amount invested ) to be p rate of interest to berand time as t . we need to find r now after a time of 4 years the principal p amounts to $ 400 and after a time of 6 years ( question says after another 6 years so 4 + 2 ) p becomes $ 500 . formulating the above data amount ( a 1 ) at end of 4 years a 1 = p ( 1 + 4 r / 100 ) = 400 amount ( a 2 ) at end of 6 years a 2 = p ( 1 + 2 r / 100 ) = 500 dividing a 2 by a 1 we get ( 1 + 4 r / 100 ) / ( 1 + 2 r / 100 ) = 5 / 4 after cross multiplication we are left with 4 r = 100 which gives r = 25 % option : d\"" - }, - { - "Answer": 1412775, - "Options": "a ) 354354 , b ) 545454 , c ) 465785 , d ) 456573 , e ) 2818075 / 2", - "Correct": "e", - "Explanation": "\"required population = p ( 1 + r 1 / 100 ) ( 1 - r 2 / 100 ) ( 1 + r 3 / 100 ) = p ( 1 + 15 / 100 ) ( 1 - 35 / 100 ) ( 1 + 45 / 100 ) = 2818075 / 2 e\"" - }, - { - "Answer": 200, - "Options": "a ) rs . 50 , b ) rs . 160 , c ) rs . 200 , d ) rs . 225 , e ) rs . 325", - "Correct": "c", - "Explanation": "\"let c . p . be rs . x . then , 5 % of x = 350 - 340 = 10 x / 20 = 10 = > x = 200 answer : c\"" - }, - { - "Answer": 421.7142857142857, - "Options": "a ) rs . 432 , b ) rs . 422 , c ) rs . 412 , d ) rs . 442 , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : f = rs . 2460 td = rs . 360 pw = f - td = 2460 - 360 = rs . 2100 true discount is the simple interest on the present value for unexpired time = > simple interest on rs . 2100 for unexpired time = rs . 360 banker ' s discount is the simple interest on the face value of the bill for unexpired time = simple interest on rs . 2460 for unexpired time = 360 / 2100 \u00d7 2460 = 0.17 \u00d7 2460 = rs . 422 answer : option b\"" - }, - { - "Answer": 80, - "Options": "a ) 85 % , b ) 80 % , c ) 75 % , d ) 70 % , e ) 65 %", - "Correct": "b", - "Explanation": "\"the percent of employees who are unionized and men is 0.7 * 0.6 = 42 % the percent of employees who are unionized and women is 60 - 42 = 18 % 50 % of all employees are women , so non - union women are 50 % - 18 % = 32 % 40 % of all employees are non - union . the percent of non - union employees who are women is 32 % / 40 % = 80 % the answer is b .\"" - }, - { - "Answer": 3000, - "Options": "a ) 1521 , b ) 3000 , c ) 1667 , d ) 1254 , e ) 1112", - "Correct": "b", - "Explanation": "\"speed = 10 * 5 / 18 = 50 / 18 m / sec distance covered in 10 minutes = 50 / 18 * 18 * 60 = 3000 m answer is b\"" - }, - { - "Answer": 975, - "Options": "a ) 960 , b ) 975 , c ) 1,200 , d ) 920 , e ) none of these", - "Correct": "b", - "Explanation": "\"let the profit or loss be x and 852 \u2013 x = 448 + x or , x = 404 \u2044 2 = 202 \\ cost price of the article = 852 \u2013 x = 448 + x = 650 \\ sp of the article = 650 \u00d7 150 \u2044 100 = 975 answer b\"" - }, - { - "Answer": 75, - "Options": "a ) 75 % , b ) 25 % , c ) 45 % , d ) 55 % , e ) 65 %", - "Correct": "a", - "Explanation": "\"a student gets 70 % in one subject , 80 % in the other . average of 2 subjects is 75 % , if they have equal weightage . to get an overall of 75 % , he should get 75 % in third subject to maintain same % age . . if they have equal weightage . answer : a\"" - }, - { - "Answer": 2500, - "Options": "a ) 1500 , b ) 2500 , c ) 2507 , d ) 3200 , e ) 11500", - "Correct": "b", - "Explanation": "\"p - 2000 = ( p * 5 * 4 ) / 100 p = 2500 answer : b\"" - }, - { - "Answer": 650, - "Options": "a ) 650 , b ) 882 , c ) 772 , d ) 652 , e ) 271", - "Correct": "a", - "Explanation": "\"cost price = rs . 500 profit = 30 % of 500 = rs . 150 selling price = cost price + profit = 500 + 150 = 650 answer : a\"" - }, - { - "Answer": 4, - "Options": "a ) 6 , b ) 7 , c ) 9 , d ) 4 , e ) 11", - "Correct": "d", - "Explanation": "the following approach might be the easiest one and less error prone . we need on - time departure rate to be higher than 6 / 10 , so it should be at least 7 / 11 , which means that 7 out of 11 flights must depart on time . since for now 3 out of 4 flights departed on time then 7 - 3 = 4 subsequent flights need to depart on - time . answer : d" - }, - { - "Answer": 0.4, - "Options": "a ) 4 / 25 , b ) 8 / 23 , c ) 2 / 5 , d ) 8 / 15 , e ) 2 / 5", - "Correct": "e", - "Explanation": "\"let there be 100 books in all historic fiction books = 40 % of total = 40 other books = 60 new historic fiction = 40 % of 40 = 16 other new books = 40 % of 60 = 24 total new books = 24 + 16 = 40 fraction = 16 / 40 = 2 / 5 ans : e\"" - }, - { - "Answer": 20, - "Options": "a ) 25 % , b ) 33.33 % , c ) 40 % , d ) 20 % , e ) 10 %", - "Correct": "d", - "Explanation": "detailed solution for questions of this type , it is best to go from the final step . in the final state , the number of girls should be 1.5 * the number of boys . when 50 % of the boys are taken as girls , let the number of boys = x number of girls = 1.5 x total number of students = 2.5 x original number of boys = 2 x ( 50 % of boys = x ) original number of girls = 0.5 x girls form 20 % of the overall class . correct answer d ." - }, - { - "Answer": 10, - "Options": "a ) 10 , b ) 8.0 , c ) 9.5 , d ) 9.0 , e ) 8.25", - "Correct": "a", - "Explanation": "\"rate of still water = 1 / 2 ( down stream + upstream ) = 1 / 2 ( 30 + 10 ) = 20 kmph rate of current = 1 / 2 ( down stream - upstream ) = 1 / 2 ( 30 - 10 ) = 1 / 2 ( 20 ) = 10 kmph answer is a .\"" - }, - { - "Answer": 11.1111111111111, - "Options": "a ) 11.11 % , b ) 25 % , c ) 22 % , d ) 29 % , e ) 45 %", - "Correct": "a", - "Explanation": "\"900 - - - 100 100 - - - ? = > 11.11 % answer : a\"" - }, - { - "Answer": 41.61, - "Options": "a ) 6.64 % , b ) 41.61 % , c ) 45.64 % , d ) 46.64 % , e ) 10.64 %", - "Correct": "b", - "Explanation": "\"percentage error in calculated area = ( 19 + 19 + ( 19 \u00e3 \u2014 19 ) / 100 ) % = 41.61 % answer : b\"" - }, - { - "Answer": 8, - "Options": "a ) 7.25 , b ) 8.5 , c ) 8 , d ) 9.15 , e ) 10", - "Correct": "c", - "Explanation": "\"explanation : required run rate = ( 324 - 4.2 20 ) = 240 / 30 = 8 . answer : c\"" - }, - { - "Answer": 5, - "Options": "a ) 10 % , b ) 15 % , c ) 5 % , d ) 7 % , e ) 20 %", - "Correct": "c", - "Explanation": "\"si = simple interest = a - p = 720 - 600 = $ 120 r = 100 si / pt = 100 * 120 / 600 * 4 = 5 % answer is c\"" - }, - { - "Answer": 720, - "Options": "a ) 228 , b ) 720 , c ) 255 , d ) 199 , e ) 231", - "Correct": "b", - "Explanation": "\"w = 60 % l = 40 % 60 % - 40 % = 20 % 20 % - - - - - - - - 240 60 % - - - - - - - - ? = > 720 answer : b\"" - }, - { - "Answer": 400, - "Options": "a ) 750 , b ) 400 , c ) 800 , d ) 850 , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : note : majority ( 40 % ) = difference in votes polled to win ( 70 % ) & defeated candidates ( 30 % ) 40 % = 70 % - 30 % 40 % - - - - - > 160 ( 40 * 4 = 160 ) 100 % - - - - - > 400 ( 100 * 4 = 400 ) answer : option b\"" - }, - { - "Answer": 35, - "Options": "a ) 11 , b ) 10 , c ) 28 , d ) 24 , e ) 35", - "Correct": "e", - "Explanation": "\"explanation : 2420 - - - 847 100 - - - ? = > 35 % answer : option e\"" - }, - { - "Answer": 0.42, - "Options": "a ) 0.49 , b ) 0.48 , c ) 0.41 , d ) 0.42 , e ) 0.411", - "Correct": "d", - "Explanation": "\"explanation : probability that a speaks truth is 70 / 100 = 0.7 probability that b speaks truth is 60 / 100 = 0.6 since both a and b are independent of each other so probability of a intersection b is p ( a ) \u00d7 p ( b ) = 0.7 \u00d7 0.6 = 0.42 answer : d\"" - }, - { - "Answer": 1549.9999999999998, - "Options": "a ) s 4000 , b ) s 2800 , c ) s 1800 , d ) s 1500 , e ) s 1550", - "Correct": "e", - "Explanation": "\"explanation : average rate = ( 144 / 3500 ) * 100 = 4.11 ratio = 8.85 : 11.14 so , first part = ( 8.85 / 20 ) * 3500 = rs 1550 . answer : e\"" - }, - { - "Answer": 25, - "Options": "a ) 16 % , b ) 25 % , c ) 32 % , d ) 40 % , e ) 52 %", - "Correct": "b", - "Explanation": "\"let population be 100 total employed people = 64 % of the population = 64 employed males = 48 % of the population = 48 employed females = 16 % of the population = 16 employed females % in terms of employed people = ( 16 / 64 ) * 100 = 25 % answer is b .\"" - }, - { - "Answer": 216.66666666666666, - "Options": "a ) a ) 215 , b ) b ) 216 , c ) c ) 230 , d ) d ) 235 , e ) e ) 240", - "Correct": "b", - "Explanation": "\"sp = 120 % of cp ; : . cp = 260 \u00d7 100 / 120 = 216 option ' b '\"" - }, - { - "Answer": 39.99999999999999, - "Options": "a ) 20 % , b ) 40 % , c ) 50 % , d ) 60 % , e ) 80 %", - "Correct": "b", - "Explanation": "\"65 % is 15 % - points below 80 % and 10 % - points above 55 % . so the ratio of solution p to solution q is 2 : 3 . mixture p is 2 / 5 = 40 % of the volume of mixture pq . the answer is b .\"" - }, - { - "Answer": 933.3333333333334, - "Options": "a ) 500 , b ) 550 , c ) 600 , d ) 933 , e ) 750", - "Correct": "d", - "Explanation": "\"sp * ( 60 / 100 ) = 560 sp = 9.33 * 100 = > cp = 933 answer : d\"" - }, - { - "Answer": 7799.999999999999, - "Options": "a ) 7500 , b ) 3388 , c ) 2665 , d ) 7800 , e ) 2661", - "Correct": "d", - "Explanation": "\"35 % - - - - - - - - - - - l 65 % - - - - - - - - - - - w - - - - - - - - - - - - - - - - - - 30 % - - - - - - - - - - 2340 100 % - - - - - - - - - ? = > 7800 answer : d\"" - }, - { - "Answer": 3.5000000000000004, - "Options": "a ) 0.004 % , b ) 0.04 % , c ) 0.40 % , d ) 4 % , e ) 3.5 %", - "Correct": "e", - "Explanation": "\"total amount of water evaporated each day during a 50 - day period = . 007 * 50 = . 007 * 100 / 2 = . 7 / 2 = . 35 percent of the original amount of water evaporated during this period = ( . 35 / 10 ) * 100 % = 3.5 % answer e\"" - }, - { - "Answer": 13.636363636363626, - "Options": "a ) 15 % , b ) 13.6 % , c ) 65 % , d ) 45 % , e ) 35 %", - "Correct": "b", - "Explanation": "\"explanation : 880 - - - 120 100 - - - ? = > 13.6 % answer : b\"" - }, - { - "Answer": 3, - "Options": "a ) 5 , b ) 15 , c ) 3 , d ) 95 , e ) 125", - "Correct": "c", - "Explanation": "\"p makes x sprockets per hour . then q makes 1.1 x sprockets per hour . 330 / x = 330 / 1.1 x + 10 1.1 ( 330 ) = 330 + 11 x 11 x = 33 x = 3 the answer is c .\"" - }, - { - "Answer": 0.01, - "Options": "a ) 0.1 , b ) 0.001 , c ) 0.01 , d ) 0.0001 , e ) 1", - "Correct": "c", - "Explanation": "\"1 / 100 = 0.01 answer : c\"" - }, - { - "Answer": 3.0211480362537766, - "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", - "Correct": "b", - "Explanation": "a = p ( 1 + r / 100 ) ^ t 2662 = 2000 ( 1 + 10 / 100 ) ^ t ( 11 / 10 ) ^ t = 2662 / 2000 ( 11 / 10 ) ^ t = ( 11 / 10 ) ^ 3 t = 3 years answer is b" - }, - { - "Answer": 5525.974025974026, - "Options": "a ) s . 5266 , b ) s . 5269 , c ) s . 5228 , d ) s . 5218 , e ) s . 5526", - "Correct": "e", - "Explanation": "\"explanation : let us assume mr . karan borrowed amount is rs . a . ( the principal ) by formula of simple interest , s . i . = prt / 100 where p = the principal , r = rate of interest as a % , t = time in years s . i . = ( p * 6 * 9 ) / 100 = 54 p / 100 amount = principal + s . i . 8510 = p + ( 54 p / 100 ) 8510 = ( 100 p + 54 p ) / 100 8510 = 154 p / 100 p = ( 8510 * 100 ) / 154 = rs . 5525.974 answer : e\"" - }, - { - "Answer": 80, - "Options": "a ) 80 % , b ) 85 % , c ) 82 % , d ) 70 % , e ) 75 %", - "Correct": "a", - "Explanation": "\"explanation : solution : let c . p . of each chocolate be re . 1 . then , c . p . of 45 chocolates = rs . 45 ; s . p . of 45 chocolates = rs . 81 . . ' . gain % = 36 * 100 / 45 = 80 % answer : a\"" - }, - { - "Answer": 28.125, - "Options": "a ) 37.5 % , b ) 48 % , c ) 50.5 % , d ) 28.125 % , e ) 56 %", - "Correct": "d", - "Explanation": "\"explanation : let marked price = rs . 100 . then , c . p . = rs . 64 , s . p . = rs . 82 gain % = 18 / 64 * 100 = 28.125 % . answer : option d\"" - }, - { - "Answer": 84.00000000000009, - "Options": "a ) 24 , b ) 34.8 , c ) 37.8 , d ) 42 , e ) 84", - "Correct": "e", - "Explanation": "the difference between the amounts john paid and jane paid is the deference between 15 % of p and 15 % of 0.9 p : 0.15 p - 0.15 * 0.9 p = 1.26 - - > 15 p - 13.5 p = 126 - - > p = 84 . answer : e ." - }, - { - "Answer": 15000, - "Options": "a ) 16000 , b ) 25000 , c ) 15000 , d ) 18000 , e ) 17000", - "Correct": "c", - "Explanation": "\"c 15000 let the cp be $ x . had he offered 10 % discount , profit = 8 % profit = 8 / 100 x and hence his sp = x + 8 / 100 x = $ 1.08 x = 18000 - 10 / 100 ( 18000 ) = 18000 - 1800 = $ 16200 = > 1.08 x = 16200 = > x = 15000\"" - }, - { - "Answer": 116.66666666666667, - "Options": "a ) $ 110.66 , b ) $ 132.66 , c ) $ 116.66 , d ) $ 126.66 , e ) $ 118.66", - "Correct": "c", - "Explanation": "c $ 116.66 let the cost of the brand be $ x per kg . c . p . of 5 kg = ( 2 * 200 + 3 * x ) = $ ( 400 + 3 x ) s . p of 5 kg = $ ( 5 * 177 ) = $ 885 [ 885 - ( 400 + 3 x ) ] / ( 400 + 3 x ) * 100 = 18 24250 - 150 x = 3600 + 27 x 177 x = 20650 = > x = 116 2 / 3 so , cost of the other brand = $ 116.66 ." - }, - { - "Answer": 65.97222222222223, - "Options": "a ) 65.9 , b ) 62.3 , c ) 62.7 , d ) 62.2 , e ) 62.9", - "Correct": "a", - "Explanation": "\"cp = 47.50 sp = 47.50 * ( 125 / 100 ) = 59.375 mp * ( 90 / 100 ) = 59.375 mp = 65.9 answer : a\"" - }, - { - "Answer": 58.730158730158735, - "Options": "a ) 32.5 , b ) 58.7 , c ) 48 , d ) 65 , e ) 67.5", - "Correct": "b", - "Explanation": "\"1 ) let the price of jacket initially be $ 100 . 2 ) then it is decreased by 10 % , therefore bringing down the price to $ 90 . 3 ) again it is further discounted by 30 % , therefore bringing down the price to $ 63 . 4 ) now 67.5 has to be added byx % in order to equal the original price . 63 + ( x % ) 63 = 100 . solving this eq for x , we get x = 58.7 ans is b\"" - }, - { - "Answer": 150, - "Options": "a ) s . 83.33 , b ) s . 110 , c ) s . 112 , d ) s . 120 , e ) s . 150", - "Correct": "e", - "Explanation": "\"income of rs 12 on investment of rs 100 income of rs 18 on investment of ? = ( 18 * 100 ) / 12 = 150 answer : e\"" - }, - { - "Answer": 66.66666666666667, - "Options": "a ) 66.55 % , b ) 66.66 % , c ) 66 % , d ) 55 % , e ) 66.33 %", - "Correct": "b", - "Explanation": "\"explanation : solution : let c . p . of each chocolate be re . 1 . then , c . p . of 21 chocolates = rs . 21 ; s . p . of 21 chocolates = rs . 35 . . ' . gain % = 14 * 100 / 21 = 66.66 % answer : b\"" - }, - { - "Answer": 17.1875, - "Options": "a ) 37.5 % , b ) 37.6 % , c ) 38.5 % , d ) 17.1 % , e ) 37.2 %", - "Correct": "d", - "Explanation": "\"let marked price = rs . 100 . then , c . p . = rs . 64 , s . p . = rs . 75 gain % = 11 / 64 * 100 = 17.1 % . answer : d\"" - }, - { - "Answer": 59.99999999999999, - "Options": "a ) 20 , b ) 30 , c ) 35 , d ) 40 , e ) 60", - "Correct": "e", - "Explanation": "\"i did n ' t understand how did we get 100 ? total = 75 books . 65 % of books that were loaned out are returned - - > 100 % - 70 % = 30 % of books that were loaned out are not returned . now , there are 57 books , thus 76 - 68 = 7 books are not returned . { loaned out } * 0.30 = 18 - - > { loaned out } = 60 . answer : e .\"" - }, - { - "Answer": 192, - "Options": "a ) s . 147 , b ) s . 148 , c ) s . 144 , d ) s . 189 , e ) s . 192", - "Correct": "e", - "Explanation": "\"given that sp = rs . 136 and loss = 15 % cp = [ 100 ( sp ) ] / ( 100 - l % ) = ( 100 * 136 ) / 85 = rs . 160 . to get 20 % profit , new sp = [ ( 100 + p % ) cp ] / 100 = ( 160 * 120 ) / 100 = rs . 192 answer : e\"" - }, - { - "Answer": 49, - "Options": "a ) 40 , b ) 45 , c ) 49 , d ) 53 , e ) 58", - "Correct": "c", - "Explanation": "\"1 weaver can weave 1 mat in 4 days . 14 weavers can weave 14 mats in 4 days . 14 weavers can weave 49 mats in 14 days . the answer is c .\"" - }, - { - "Answer": 120.6208, - "Options": "a ) 119 , b ) 187 , c ) 181 , d ) 120 , e ) 891", - "Correct": "d", - "Explanation": "explanation : x * 3 / 8 = 141 = > x = 376 376 * 32.08 / 100 = 120 answer : d" - }, - { - "Answer": 700, - "Options": "a ) 700 , b ) 882 , c ) 772 , d ) 652 , e ) 271", - "Correct": "a", - "Explanation": "\"cost price = rs . 500 profit = 40 % of 500 = rs . 200 selling price = cost price + profit = 500 + 200 = 700 answer : a\"" - }, - { - "Answer": 330, - "Options": "a ) 330 , b ) 110 , c ) 120 , d ) 140 , e ) 150", - "Correct": "a", - "Explanation": "75 % of 600 = 45 / 100 \u00d7 600 = 270 therefore , the number of vacant seats = 600 - 270 = 330 . answer : a" - }, - { - "Answer": 800, - "Options": "a ) 343 , b ) 677 , c ) 800 , d ) 867 , e ) 932", - "Correct": "c", - "Explanation": "\"if mike had scored 28 marks more , he could have scored 30 % therefore , mike required 212 + 28 = 240 marks let the maximum marks be m . then 30 % of m = 240 ( 30 / 100 ) \u00d7 m = 240 m = ( 240 \u00d7 100 ) / 30 m = 24000 / 30 m = 800 answer : c\"" - }, - { - "Answer": 8400, - "Options": "a ) s . 9621 , b ) s . 6921 , c ) s . 8400 , d ) s . 6261 , e ) s . 6361", - "Correct": "c", - "Explanation": "\"c . i = p ( 1 + r / 100 ) ^ n = 8000 ( 1 + 5 / 100 ) = rs 8400 answer : c\"" - }, - { - "Answer": 27000, - "Options": "a ) rs . 22000 , b ) rs . 24000 , c ) rs . 26000 , d ) rs . 27000 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : question seems a bit tricky , but it is very simple . just calculate all cost price , then get 150 % of cp . c . p . = 12000 + 5000 + 1000 = 18000 150 % of 18000 = 150 / 100 * 18000 = 27000 option d\"" - }, - { - "Answer": 12.36, - "Options": "a ) 16.06 % , b ) 16.07 % , c ) 12.36 % , d ) 6.09 % , e ) 6.19 %", - "Correct": "c", - "Explanation": "\"amount of rs . 100 for 1 year when compounded half - yearly = [ 100 * ( 1 + 6 / 100 ) 2 ] = rs . 112.36 effective rate = ( 112.36 - 100 ) = 12.36 % answer : c\"" - }, - { - "Answer": 19.6875, - "Options": "a ) 75 % , b ) 58 % , c ) 42 % , d ) 14.5 % , e ) 19.6 %", - "Correct": "e", - "Explanation": "total umber of members = 1600 number of members that cast votes = 525 since , winning candidate received 60 percent of the votes cast number of votes for winning candidate = ( 60 / 100 ) * 525 = 315 percent of total membership that voted for winning candidate = ( 315 / 1600 ) * 100 = 19.6 % answer e" - }, - { - "Answer": 90, - "Options": "a ) 80 % , b ) 90 % , c ) 59 % , d ) 40 % , e ) 53 %", - "Correct": "b", - "Explanation": "l . c . m of 15 and 12 = 60 cp of 60 articles = rs . 100 ( 25 * 4 ) sp of 60 articles = rs . 190 ( 30 * 5 ) profit percentage = ( 190 - 100 ) / 100 * 100 = 90 % answer : b" - }, - { - "Answer": 5000, - "Options": "a ) $ 4500 , b ) $ 3500 , c ) $ 5500 , d ) $ 5000 , e ) $ 6300", - "Correct": "d", - "Explanation": "total manufacturing cost = 10000 + 500 * 20 = 20000 total selling cost = 500 * 50 = 25000 profit = 25000 - 20000 = 5000 answer : d" - }, - { - "Answer": 100, - "Options": "a ) 100 , b ) 200 , c ) 300 , d ) 400 , e ) none of these", - "Correct": "a", - "Explanation": "remaining capital = 1 - ( 1 \u2044 6 + 1 \u2044 3 ) = 1 \u2044 2 ratio of their profit = 1 \u2044 6 \u00d7 [ 1 \u2044 6 \u00d7 12 ] : 1 \u2044 3 \u00d7 [ 1 \u2044 3 \u00d7 12 ] : 1 \u2044 2 \u00d7 12 = 1 \u2044 3 : 4 \u2044 3 : 6 = 1 : 4 : 18 \u2234 a ' s share = 1 / 1 + 4 + 18 \u00d7 2300 = 100 answer a" - }, - { - "Answer": 2.5, - "Options": "a ) 0.4 % , b ) 5.0 % , c ) 2.5 % , d ) 7 % , e ) 8 %", - "Correct": "c", - "Explanation": "explanation : s . i . on rs 800 for 1 year = 20 rate = ( 100 * 20 ) / ( 800 * 1 ) = 2.5 % answer : c" - }, - { - "Answer": 612, - "Options": "a ) rs 312 , b ) rs 412 , c ) rs 512 , d ) rs 612 , e ) none of these", - "Correct": "d", - "Explanation": "explanation : please apply the formula amount = p ( 1 + r 100 ) nc . i . = amount - p answer : d" - }, - { - "Answer": 16.38, - "Options": "a ) 66.3 , b ) 76.3 , c ) 86.3 , d ) 16.3 , e ) 36.3", - "Correct": "d", - "Explanation": "\"explanation : c . p . of 50 kg wheat = ( 30 * 11.50 + 20 * 14.25 ) = rs . 630 . s . p . of 50 kg wheat = 130 % of rs . 630 = 130 / 100 * 630 = rs . 819 . s . p . per kg = 819 / 50 = rs . 16.38 = 16.30 . answer : d\"" - }, - { - "Answer": 6200, - "Options": "a ) 6200 , b ) 3000 , c ) 3000 , d ) 2000 , e ) 1000", - "Correct": "a", - "Explanation": "\"p - 2336 = ( p * 10 * 5 ) / 100 p = 6200 answer : a\"" - }, - { - "Answer": 8.235294117647069, - "Options": "a ) 3.23 % , b ) 4.23 % , c ) 5.23 % , d ) 7.23 % , e ) 8.23 %", - "Correct": "e", - "Explanation": "\"68 * ( 90 / 100 ) * ( ( 100 - x ) / 100 ) = 56.16 x = 8.23 % answer : e\"" - }, - { - "Answer": 100, - "Options": "a ) 160 minutes , b ) 120 minutes , c ) 100 minutes , d ) 76 minutes , e ) 77 minutes", - "Correct": "c", - "Explanation": "\"time taken to reach = 3500 / 35 = 100 minutes answer : c\"" - }, - { - "Answer": 1.111111111111111, - "Options": "a ) 1.11 % , b ) 5.93 % , c ) 4.33 % , d ) 5.33 % , e ) 6.33 %", - "Correct": "a", - "Explanation": "\"50 = ( 900 * 5 * r ) / 100 r = 1.11 % answer : a\"" - }, - { - "Answer": 20, - "Options": "a ) 10 % , b ) 25 % , c ) 20 % , d ) 50 % , e ) 45 %", - "Correct": "c", - "Explanation": "\"rate of discount = 30 / 150 * 100 = 20 % answer is c\"" - }, - { - "Answer": 237.5, - "Options": "a ) 237.5 , b ) 234 , c ) 289.5 , d ) 345 , e ) none of these", - "Correct": "a", - "Explanation": "explanation : i = ( p x r x t ) / 100 = 10000 * 9.5 / 100 * ( 18 / 12 ) ^ 1 / 6 = 237.5 answer : a" - }, - { - "Answer": 48.666666666666664, - "Options": "a ) rs . 48.66 , b ) rs . 51.03 , c ) rs . 54.17 , d ) rs . 55.33 , e ) none of the above", - "Correct": "a", - "Explanation": "\"40 * 10 = 400 66 * 5 = 330 730 / 15 = 48.66 answer : a\"" - }, - { - "Answer": 224.13793103448276, - "Options": "a ) 182 , b ) 208 , c ) 224 , d ) 254 , e ) 302", - "Correct": "c", - "Explanation": "\"f x is the original number of faculty members , then after 13 % reduction in faculty members number is . 87 x but we are given . 87 x = 195 x = 224 so the original number of faculty members is 224 correct answer - c\"" - }, - { - "Answer": 96, - "Options": "a ) rs . 36 , b ) rs . 72 , c ) rs . 48 , d ) rs . 96 , e ) none", - "Correct": "d", - "Explanation": "solution t . d = \u221a p . w xb . g = \u221a 576 x 16 = 96 . answer d" - }, - { - "Answer": 135, - "Options": "a ) 69 . , b ) 135 . , c ) 81 . , d ) 91 . , e ) 108 .", - "Correct": "b", - "Explanation": "\"total students = 470 boys = 300 , girls = 170 total playing soccer = 250 86 % of 250 = 215 are boys who play soccer . girls who play soccer = 35 . total girls who do not play soccer = 170 - 35 = 135 . correct option : b\"" - }, - { - "Answer": 726.24, - "Options": "a ) $ 506.00 , b ) $ 726.24 , c ) $ 900.00 , d ) $ 920.24 , e ) $ 926.24", - "Correct": "b", - "Explanation": "if interest were not compounded in every six months ( so if interest were not earned on interest ) then we would have ( 2 + 3 + 4 ) = 9 % simple interest earned on $ 10,000 , which is $ 900 . so , you can rule out a , b and c right away . interest earned after the first time interval : $ 10,000 * 2 % = $ 200 ; interest earned after the second time interval : ( $ 10,000 + $ 200 ) * 3 % = $ 300 + $ 6 = $ 306 ; interest earned after the third time interval : ( $ 10,000 + $ 200 + $ 306 ) * 4 % = $ 400 + $ 8 + ( ~ $ 12 ) = ~ $ 420 ; total : 200 + 306 + ( ~ 420 ) = ~ $ 726.24 . answer : b ." - }, - { - "Answer": 16, - "Options": "a ) 22 , b ) 16 , c ) 27 , d ) 28 , e ) 20", - "Correct": "b", - "Explanation": "\"speed ratio = 1 : 4 / 3 = 3 : 4 time ratio = 4 : 3 1 - - - - - - - - 4 4 - - - - - - - - - ? 16 m . answer : b\"" - }, - { - "Answer": 42.857142857142854, - "Options": "a ) 16 , b ) 127 , c ) 12 , d ) 18 , e ) 43", - "Correct": "e", - "Explanation": "\"percentage of profit = 15 / 35 * 100 = 43 % answer : e\"" - }, - { - "Answer": 20, - "Options": "a ) 12 , b ) 12.5 , c ) 20 , d ) 13.5 , e ) 14", - "Correct": "c", - "Explanation": "\"explanation : let sum = x then simple interest = x rate = ( 100 * x ) / ( x * 5 ) = 20 option c\"" - }, - { - "Answer": 100, - "Options": "a ) 20 , b ) 25 , c ) 30 , d ) 55 , e ) 100", - "Correct": "e", - "Explanation": "\"say the number of students who read book a is a and the number of students who read book b is b . given that 20 % of those who read book a also read book b and 25 % of those who read book b also read book a , so the number of students who read both books is 0.2 a = 0.25 b - - > a = 1.25 b . since each student read at least one of the books then { total } = { a } + { b } - { both } - - > 800 = 1.25 b + b - 0.25 b - - > b = 400 , a = 1.25 b = 500 and { both } = 0.25 b = 100 . the number of students who read only book a is { a } - { both } = 500 - 100 = 400 ; the number of students who read only book b is { b } - { both } = 400 - 100 = 300 ; the difference is 400 - 300 = 100 . answer : e .\"" - }, - { - "Answer": 52941.17647058824, - "Options": "a ) rs . 22941.18 , b ) rs . 32941.18 , c ) rs . 52941.18 , d ) rs . 62941.18 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : s . p = rs . 54,000 . gain earned = 20 % c . p = rs . [ 100 / 120 \u00e3 \u2014 54000 ] = rs . 45000 this is the price the first person sold to the second at at loss of 15 % . now s . p = rs . 45000 and loss = 15 % c . p . rs . [ 100 / 85 \u00e3 \u2014 45000 ] = rs . 52941.18 correct option : c\"" - }, - { - "Answer": 475, - "Options": "a ) rs . 200 , b ) rs . 350 , c ) rs . 475 , d ) rs . 425 , e ) none of these", - "Correct": "c", - "Explanation": "\"average would be : 350 = ( 225 + x ) / 2 on solving , x = 475 . answer : c\"" - }, - { - "Answer": 462, - "Options": "a ) 462 , b ) 674 , c ) 672 , d ) 960 , e ) none", - "Correct": "a", - "Explanation": "\"solution : total employees , = 1100 female employees , 60 % of 1100 . = ( 60 * 1100 ) / 100 = 660 . then male employees , = 440 50 % of male are computer literate , = 220 male computer literate . 62 % of total employees are computer literate , = ( 62 * 1100 ) / 100 = 682 computer literate . thus , female computer literate = 682 - 220 = 462 . answer : option a\"" - }, - { - "Answer": 52, - "Options": "a ) 25 , b ) 37.5 , c ) 50 , d ) 52.5 , e ) 75", - "Correct": "d", - "Explanation": "\"answer is 75 % total women = 69 % total men = 40 % total tenured = 70 % ( both men and women ) therefore , women tenured + women professors + men tenured = 90 % men tenured = 21 % but question wants to know the percent of men that are tenured 21 % / 40 % = 52.5 % d\"" - }, - { - "Answer": 10.25, - "Options": "a ) 10.01 , b ) 9.25 , c ) 10.25 , d ) 8.25 , e ) 6.25", - "Correct": "c", - "Explanation": "\"explanation : 100 cm is read as 105 cm . a 1 = ( 100 \u00d7 100 ) cm 2 = 10000 and a 2 = ( 105 \u00d7 105 ) cm 2 = 10816 ( a 2 - a 1 ) = 11025 - 10000 = 1025 = > 1025 / 10000 * 100 = 10.25 answer : c\"" - }, - { - "Answer": 1260.000000000001, - "Options": "a ) 1260 , b ) 1320 , c ) 1200 , d ) 1250 , e ) none of these", - "Correct": "a", - "Explanation": "solution = interest % for 1 st year = 10 interest % for 2 nd year = 10 + 10 % of 10 = 10 + 10 * 10 / 100 = 11 total % of interest = 10 + 11 = 21 total interest = 21 % 6000 = 6000 * ( 21 / 100 ) = 1260 answer a" - }, - { - "Answer": 180, - "Options": "a ) 80 , b ) 95 , c ) 180 , d ) 120 , e ) 210", - "Correct": "c", - "Explanation": "\"set up equation : x = total number of workers 120 = 0,4 * 2 / 3 * x + 0,4 * 1 / 3 * x 120 = 12 / 30 x x = 300 300 - 120 = 180 answer c\"" - }, - { - "Answer": 10, - "Options": "a ) 8 % , b ) 10 % , c ) 12 % , d ) 14 % , e ) 16 %", - "Correct": "b", - "Explanation": "\"difference in c . i . and s . i for 2 years = $ 630 - $ 600 = $ 30 s . i for one year = $ 300 s . i . on $ 300 for 1 year = $ 30 rate = ( 100 * 30 ) / ( 300 ) = 10 % the answer is b .\"" - }, - { - "Answer": 28, - "Options": "a ) 26 , b ) 28 , c ) 24 , d ) 20 , e ) 22", - "Correct": "b", - "Explanation": "\"formula for percentage change in area is : = ( \u2212 x \u2212 y + ( xy ) / 100 ) % = ( \u2212 20 \u2212 10 + ( 20 \u00d7 10 ) / 100 ) % = \u2212 28 % i . e . , area is decreased by 28 % answer is b .\"" - }, - { - "Answer": 400.00000000000006, - "Options": "a ) 400 , b ) 278 , c ) 289 , d ) 500 , e ) 821", - "Correct": "a", - "Explanation": "\"p - 272 = ( p * 4 * 8 ) / 100 p = 400 answer : a\"" - }, - { - "Answer": 10, - "Options": "a ) 10 % , b ) 15 % , c ) 25 % , d ) 20 % , e ) 30 %", - "Correct": "a", - "Explanation": "\"c . p . = $ 100 s . p . = $ 110 gain = $ 10 gain % = 10 / 100 * 100 = 10 % answer is a\"" - }, - { - "Answer": 20, - "Options": "a ) 20 % , b ) 16.66 % , c ) 16.56 % , d ) 17.66 % , e ) 18.1 %", - "Correct": "a", - "Explanation": "\"increase = ( 12 / 60 ) * 100 = ( 1 / 5 ) * 100 = 20 % . a\"" - }, - { - "Answer": 30, - "Options": "a ) 18 , b ) 30 , c ) 32 , d ) 26 , e ) 98", - "Correct": "b", - "Explanation": "explanation : 50 % less is 50 % of the given number therefore , 50 % of 60 is 30 . answer : b" - }, - { - "Answer": 55.38461538461539, - "Options": "a ) 59.54 % , b ) 66.25 % , c ) 55.39 % , d ) 63.21 % , e ) 64.22 %", - "Correct": "c", - "Explanation": "\"solution : number of indians men present there = 500 * 10 / 100 = 50 indian women = 300 * 60 / 100 = 180 indian children = 500 * 70 / 100 = 350 . total member present in climate conference = 500 + 300 + 500 = 1300 total indian = 50 + 180 + 350 = 580 hence , % of indian present there = 580 * 100 / 1300 = 44.61 % % of people who were not indian = 100 - 44.61 = 55.39 % . answer c\"" - }, - { - "Answer": 40, - "Options": "a ) 10 % , b ) 20 % , c ) 40 % , d ) 50 % , e ) 60 %", - "Correct": "c", - "Explanation": "\"explanation : change in the price = rs 420 \u00e2 \u20ac \u201c rs 300 = rs 120 percentage of increase = change in the price initial price * 100 . percentage increase in price = ( 120 300 ) * 100 = 40 % c\"" - }, - { - "Answer": 98.00000000000003, - "Options": "a ) 160 , b ) 98 , c ) 100 , d ) 80 , e ) 50", - "Correct": "b", - "Explanation": "\"say there are a gallons of fuel a in the tank , then there would be 212 - a gallons of fuel b . the amount of ethanol in a gallons of fuel a is 0.12 a ; the amount of ethanol in 212 - a gallons of fuel b is 0.16 ( 212 - a ) ; since the total amount of ethanol is 30 gallons then 0.12 a + 0.16 ( 212 - a ) = 30 - - > a = 98 . answer : b .\"" - }, - { - "Answer": 20350, - "Options": "a ) 34778 , b ) 26888 , c ) 20350 , d ) 17600 , e ) 12778", - "Correct": "c", - "Explanation": "\"price at which the tv set is bought = rs . 14,500 discount offered = 20 % marked price = 12500 * 100 / 80 = rs . 18125 the total amount spent on transport and installation = 125 + 250 = rs . 375 \\ total price of tv set = 18125 + 375 = rs . 18500 the price at which the tv should be sold to get a profit of 10 % if no discount was offered = 18500 * 110 / 100 = rs . 20350 answer : c\"" - }, - { - "Answer": 420, - "Options": "a ) s . 600 , b ) s . 480 , c ) s . 500 , d ) s . 450 , e ) s . 420", - "Correct": "e", - "Explanation": "\"sp = 700 profit = 25 % cp = ( sp ) * [ 100 / ( 100 + p ) ] = 700 * [ 100 / 125 ] = 560 loss = 25 % = 25 % of 560 = rs . 140 sp = cp - loss = 560 - 140 = rs . 420 answer : e\"" - }, - { - "Answer": 20, - "Options": "a ) 20 % , b ) 25 % , c ) 18 % , d ) 30 % , e ) none of these", - "Correct": "a", - "Explanation": "\"here , l = 5 and m = 25 therefore , first number = l / m x 100 % of second number = 5 / 25 x 100 % of second number = 20 % of second number answer : a\"" - }, - { - "Answer": 24, - "Options": "a ) 12 , b ) 18 , c ) 24 , d ) 30 , e ) 36", - "Correct": "c", - "Explanation": "\"200 are sophomores . the number of freshmen is 600 - 160 - 0.27 ( 800 ) = 224 the answer is c .\"" - }, - { - "Answer": 800, - "Options": "a ) a ) 600 , b ) b ) 700 , c ) c ) 800 , d ) d ) 900 , e ) e ) 1000", - "Correct": "c", - "Explanation": "\"explanation : formula : ( after = 100 denominator ago = 100 numerator ) 1220 * 100 / 122 * 100 / 125 = 800 answer : option c\"" - }, - { - "Answer": 4499.999999999999, - "Options": "a ) 4000 , b ) 4500 , c ) 5000 , d ) 5500 , e ) 6000", - "Correct": "b", - "Explanation": "\"35 % - - - - - - - - - - - l 65 % - - - - - - - - - - - w - - - - - - - - - - - - - - - - - - 30 % = 1350 10 % = 450 100 % of the votes = 4500 answer : b\"" - }, - { - "Answer": 699.9998833333527, - "Options": "a ) 588 apples , b ) 600 apples , c ) 672 apples , d ) 700 apples , e ) none", - "Correct": "d", - "Explanation": "\"answer \u2235 60 % of n = 420 \u2234 n = ( 420 x 100 ) / 60 = 700 correct option : d\"" - }, - { - "Answer": 6.666666666666667, - "Options": "a ) 12 , b ) 12.5 , c ) 6.67 , d ) 13.5 , e ) 14", - "Correct": "c", - "Explanation": "\"explanation : let sum = x then simple interest = x rate = ( 100 * x ) / ( x * 15 ) = 6.67 option c\"" - }, - { - "Answer": 117, - "Options": "a ) 173 , b ) 163 , c ) 153 , d ) 143 , e ) 117", - "Correct": "e", - "Explanation": "44 + 28 + 10 = 82 % 100 \u2013 82 = 18 % 650 * 18 / 100 = 117 answer : e" - }, - { - "Answer": 6, - "Options": "a ) 6 % , b ) 6.5 % , c ) 7 % , d ) 7.5 % , e ) 8 %", - "Correct": "a", - "Explanation": "explanation : let the rate be r % p . a . then , 1200 x ( 1 + r / 100 ) 2 = 1348.32 = ( 1 + r / 100 ) 2 = 134832 / 120000 = 11236 / 10000 ( 1 + r / 100 ) 2 = ( 106 / 100 ) 2 = > 1 + r / 100 = 106 / 100 r = 6 % answer is a" - }, - { - "Answer": 5.5, - "Options": "a ) 6.25 , b ) 5.5 , c ) 6.75 , d ) 7 , e ) 8", - "Correct": "b", - "Explanation": "\"10 overs - run rate = 6.2 runs scored in first 10 overs = 62 remaining overs 40 total runs to be scored = 282 62 runs already scored 282 - 62 = 220 220 runs to be scored in 40 overs let required runrate be x 40 * x = 220 x = 220 / 40 x = 5.5 the required runrate is 5.5 answer : b\"" - }, - { - "Answer": 21, - "Options": "a ) 6.64 % , b ) 16.64 % , c ) 15.64 % , d ) 21 % , e ) 10.64 %", - "Correct": "d", - "Explanation": "\"percentage error in calculated area = ( 10 + 10 + ( 10 \u00e3 \u2014 10 ) / 100 ) % = 21 % answer : d\"" - }, - { - "Answer": 500, - "Options": "a ) 400 , b ) 500 , c ) 1,250 , d ) 2,500 , e ) 10,000", - "Correct": "b", - "Explanation": "\"total fish = x percentage of second catch = ( 5 / 50 ) * 100 = 10 % so , x * 10 % = 50 x = 500 ans b .\"" - }, - { - "Answer": 27, - "Options": "a ) $ 25 , b ) $ 26 , c ) $ 27 , d ) $ 28 , e ) $ 29", - "Correct": "c", - "Explanation": "\"let x be the price that buyers see online . the distributor wants to receive 1.2 ( original price ) which should be 80 % of x . 1.2 ( 18 ) = 0.8 x x = 1.2 ( 18 ) / 0.8 = 1.5 ( 18 ) = $ 27 the answer is c .\"" - }, - { - "Answer": 605, - "Options": "a ) 605 , b ) 505 , c ) 105 , d ) 100 , e ) 200", - "Correct": "a", - "Explanation": "\"earning 35 surveys using her cell phone = 13 * 35 = 455 balance 15 surveys = 10 x 15 = 150 total = 455 + 150 = 605 answer : a\"" - }, - { - "Answer": 63.844086021505376, - "Options": "a ) 63.84 , b ) 62.6 , c ) 62.1 , d ) 62.7 , e ) 62.2", - "Correct": "a", - "Explanation": "\"cp = 47.50 sp = 47.50 * ( 125 / 100 ) = 59.375 mp * ( 93 / 100 ) = 59.375 mp = 63.84 answer : a\"" - }, - { - "Answer": 30.000000000000007, - "Options": "a ) 20 , b ) 30 , c ) 35 , d ) 40 , e ) 55", - "Correct": "b", - "Explanation": "\"there are 6 books less ( 75 - 69 ) which represents 20 % of the loaned books ( 100 - 80 ) so total loaned out books = 30 answer b\"" - }, - { - "Answer": 41, - "Options": "a ) 12 , b ) 27 , c ) 29 , d ) 50 , e ) 41", - "Correct": "e", - "Explanation": "sp per metre = 18000 / 500 = rs . 36 loss per metre = rs . 5 cp per metre = 36 + 5 = rs . 41 . answer : e" - }, - { - "Answer": 25, - "Options": "a ) 25 , b ) 27 , c ) 28 , d ) 29 , e ) 30", - "Correct": "a", - "Explanation": "i 1 = 5 i 2 = 7 i 1 share 5 parts & i 2 share 7 parts total 12 parts - - - - - > 60 - - - - > 1 part - - - - - - - > 5 i 1 share = 5 parts - - - - - > 25 a" - }, - { - "Answer": 2, - "Options": "a ) 0.002 % , b ) 0.02 % , c ) 0.2 % , d ) 2 % , e ) 20 %", - "Correct": "d", - "Explanation": "\"in 20 days 20 * 0.01 = 0.2 ounces of water evaporated , which is 0.2 / 10 \u2217 100 = 2 of the original amount of water . answer : d .\"" - }, - { - "Answer": 99.99999999999991, - "Options": "a ) 150 , b ) 100 , c ) 99 , d ) 50 , e ) 25", - "Correct": "b", - "Explanation": "\"there are 198 managers and 2 others . the 2 others would compose 2 % of the total number of people if there were 100 people in the room . thus 100 managers must leave . the answer is b .\"" - }, - { - "Answer": 100, - "Options": "a ) 105 , b ) 95 , c ) 80 , d ) 60 , e ) 100", - "Correct": "e", - "Explanation": "\"final number = initial number + 25 % ( original number ) = 80 + 25 % ( 80 ) = 80 + 20 = 100 . answer e\"" - }, - { - "Answer": 40, - "Options": "a ) 33 % , b ) 35 1 / 2 % , c ) 37 % , d ) 40 % , e ) 42 %", - "Correct": "d", - "Explanation": "\"in 8 kilograms of solution y there are 0.3 * 6 = 1.8 kilograms of solution x ; after 2 kilograms of water are replaced by 2 kilograms of solution y , to the existing 1.8 kilograms of solution x , 0.3 * 2 = 0.6 kilograms of solution x are added , so in the new solution of 6 kilograms there are 1.8 + 0.6 = 2.4 kilograms of solution x , which is 2.4 / 6 * 100 = 40 % of this new solution . answer : d .\"" - }, - { - "Answer": 6.1, - "Options": "a ) 6.25 , b ) 6.5 , c ) 6.75 , d ) 6.1 , e ) 8", - "Correct": "d", - "Explanation": "\"10 overs - run rate = 3.8 runs scored in first 10 overs = 38 remaining overs 40 total runs to be scored = 282 38 runs already scored 282 - 38 = 244 244 runs to be scored in 40 overs let required runrate be x 40 * x = 244 x = 244 / 40 x = 6.1 the required runrate is 6.1 answer : d\"" - }, - { - "Answer": 595.2, - "Options": "a ) 595 , b ) 882 , c ) 772 , d ) 662 , e ) 521", - "Correct": "a", - "Explanation": "\"cost price = rs . 480 profit = 24 % of 480 = rs . 115 selling price = cost price + profit = 480 + 115 = 595 answer : a\"" - }, - { - "Answer": 4000, - "Options": "a ) 1521 , b ) 1492 , c ) 1667 , d ) 4000 , e ) 1112", - "Correct": "d", - "Explanation": "\"speed = 10 * 5 / 18 = 50 / 18 m / sec distance covered in 24 minutes = 50 / 18 * 24 * 60 = 4000 m answer is d\"" - }, - { - "Answer": 216, - "Options": "a ) $ 198 , b ) $ 216 , c ) $ 220 , d ) $ 230 , e ) $ 240", - "Correct": "b", - "Explanation": "\"wholesale cost of video recorder = 200 $ video recorder was priced at 20 percent above 200 = 240 $ % discount given by store employee = 10 employee paid = . 9 * 240 = 216 $ answer b\"" - }, - { - "Answer": 49, - "Options": "a ) rs . 40 , b ) rs . 50 , c ) rs . 49 , d ) rs . 59 , e ) none of these", - "Correct": "c", - "Explanation": "\"s . p 1 - c . p = c . p \u2013 s . p 2 56 - c . p = c . p - 42 2 c . p = 56 + 42 ; c . p = 98 / 2 = 49 answer : c\"" - }, - { - "Answer": 13, - "Options": "a ) 11 % , b ) 13 % , c ) 15 % , d ) 17 % , e ) 19 %", - "Correct": "b", - "Explanation": "the percent of jasmine in the resulting solution is : ( amount of jasmine ) / ( total volume ) ( 0.1 ( 80 ) + 5 ) / 100 = 13 / 100 = 13 % the answer is b ." - }, - { - "Answer": 6.09, - "Options": "a ) 6.04 % , b ) 6.14 % , c ) 6.23 % , d ) 6.26 % , e ) 6.09 %", - "Correct": "e", - "Explanation": "\"100 cm is read as 102 cm . a 1 = ( 100 x 100 ) cm 2 and a 2 ( 103 x 103 ) cm 2 . ( a 2 - a 1 ) = [ ( 103 ) 2 - ( 100 ) 2 ] = ( 103 + 100 ) x ( 103 - 100 ) = 609 cm 2 . percentage error = 6.09 e\"" - }, - { - "Answer": 4, - "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", - "Correct": "b", - "Explanation": "let x be the number of tickets he bought at $ 2 per ticket . then 2 x + ( 10 - x ) 1.6 = 18.4 0.4 x = 2.4 = > x = 6 discounted tickets = 10 - x = 4 ans : b" - }, - { - "Answer": 0.03, - "Options": "a ) 0.3 , b ) 0.03 , c ) 0.003 , d ) 0.0003 , e ) 3", - "Correct": "b", - "Explanation": "\"3 / 100 = 0.03 answer : b\"" - }, - { - "Answer": 12, - "Options": "a ) 12 % , b ) 13 % , c ) 14 % , d ) 15 % , e ) 16 %", - "Correct": "a", - "Explanation": "\"explanation : suppose he bought 5 kg and 3 kg of tea . cost price = rs . ( 5 x 18 + 3 x 20 ) = rs . 150 . selling price = rs . ( 8 x 21 ) = rs . 168 . profit = 168 - 150 = 18 so , profit % = ( 18 / 150 ) * 100 = 12 % option a\"" - }, - { - "Answer": 68.18181818181817, - "Options": "a ) 64 , b ) 68 , c ) 72 , d ) 76 , e ) 80", - "Correct": "b", - "Explanation": "\"45 % were boy scouts so 55 % ( 100 - 45 = 55 ) were girl scouts . # of boy scouts with permission slips signed + # of girl scouts with permission slips signed = total # with permission slip signed ( 50 % of 45 % of the total going ) + ( ? % of 55 % of the total going ) = 60 % of the total going we can let the ` ` total going ' ' = 1,000 arbitrarily since we only care about the percent ( of girl scouts w / permission signed ) . 50 * . 45 * 1,000 + x * . 55 * 1,000 = . 60 * 1,000 225 + x * 550 = 600 550 x = 375 x = 375 / 550 x = . 6818181818 which converts to a percent of 68.18181818 % which rounds to 68 % b\"" - }, - { - "Answer": 100, - "Options": "a ) 150 , b ) 997 , c ) 100 , d ) 288 , e ) 271", - "Correct": "c", - "Explanation": "\"( 80 / 100 ) * x \u2013 20 = 60 8 x = 800 x = 100 answer : c\"" - }, - { - "Answer": 50000, - "Options": "a ) rs . 25000 , b ) rs . 37500 , c ) rs . 50000 , d ) rs . 60000 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : s . p = rs . 54,000 . gain earned = 20 % c . p = rs . [ 100 / 120 \u00d7 54000 ] = rs . 45000 this is the price the first person sold to the second at at loss of 10 % . now s . p = rs . 45000 and loss = 10 % c . p . rs . [ 10090 \u00d7 45000 ] = rs . 50000 . correct option : c\"" - }, - { - "Answer": 43.99999999999999, - "Options": "a ) 15 % , b ) 32 % , c ) 44 % , d ) 62 % , e ) 80 %", - "Correct": "c", - "Explanation": "\"assume 100 in march , then 120 in april as 20 % increase , then 96 in may as 20 % decrease from april , and then 144 in june which is 150 % of 96 . so overall increase is from 100 to 144 is 44 % answer c\"" - }, - { - "Answer": 10, - "Options": "a ) 10 , b ) 12.5 , c ) 13 , d ) 13.5 , e ) 14", - "Correct": "a", - "Explanation": "\"explanation : let sum = x then simple interest = x rate = ( 100 * x ) / ( x * 10 ) = 10 option a\"" - }, - { - "Answer": 3920, - "Options": "a ) 3920 , b ) 5120 , c ) 5200 , d ) 5400 , e ) 5500", - "Correct": "a", - "Explanation": "\"formula : ( after = 100 denominator ago = 100 numerator ) 8000 \u00e3 \u2014 70 / 100 \u00e3 \u2014 70 / 100 = 3920 answer : a\"" - }, - { - "Answer": 10000, - "Options": "a ) rs . 17000 , b ) rs . 16050 , c ) rs . 15400 , d ) rs . 10000 , e ) rs . 10500", - "Correct": "d", - "Explanation": "\"explanation : market value = rs . 500 . required income = rs . 1000 . here face value is not given . take face value as rs . 100 if it is not given in the question to obtain rs . 50 ( ie , 50 % of the face value 100 ) , investment = rs . 500 to obtain rs . 1000 , investment = 500 / 50 \u00e3 \u2014 1000 = 10000 answer : option d\"" - }, - { - "Answer": 28.125, - "Options": "a ) 16 % , b ) 25 % , c ) 28 % , d ) 40 % , e ) 52 %", - "Correct": "c", - "Explanation": "we are asked to find the percentage of females in employed people . total employed people 64 % , out of which 46 are employed males , hence 18 % are employed females . ( employed females ) / ( total employed people ) = 18 / 64 = 28 % answer : c ." - }, - { - "Answer": 99.99999999999999, - "Options": "a ) 160 , b ) 150 , c ) 100 , d ) 80 , e ) 50", - "Correct": "c", - "Explanation": "\"say there are a gallons of fuel a in the tank , then there would be 200 - a gallons of fuel b . the amount of ethanol in a gallons of fuel a is 0.12 a ; the amount of ethanol in 200 - a gallons of fuel b is 0.16 ( 200 - a ) ; since the total amount of ethanol is 28 gallons then 0.12 a + 0.16 ( 200 - a ) = 28 - - > a = 100 . answer : c .\"" - }, - { - "Answer": 1260, - "Options": "a ) rs . 1200 , b ) rs . 1230 , c ) rs . 1260 , d ) rs . 1290 , e ) rs . 1270", - "Correct": "c", - "Explanation": "explanation : let the new s . p . be x , then . ( 100 - loss % ) : ( 1 st s . p . ) = ( 100 + gain % ) : ( 2 nd s . p . ) = > ( 951 / 140 = 105 / x ) = > x = 1260 answer is c" - }, - { - "Answer": 35.99999999999999, - "Options": "a ) 2.5 % , b ) 17.67 % , c ) 28.3 % , d ) 36 % , e ) 73.6 %", - "Correct": "d", - "Explanation": "fiction novels = 5,508 transferred to another location = 6,120 transferred fiction novels = 1,101 non transferred fiction novels = 4,407 percent of the remaining collection was fiction novels = 4,407 / ( 18360 - 6120 ) * 100 = > 36.004 . . . % hence answer will be ( d )" - }, - { - "Answer": 2800, - "Options": "a ) 648 , b ) 1800 , c ) 2800 , d ) 10800 , e ) 10900", - "Correct": "c", - "Explanation": "\"let the required number of bottles be x . more machines , more bottles ( direct proportion ) more minutes , more bottles ( direct proportion ) machines 6 : 10 : : 420 : x time ( in minutes ) 1 : 4 6 x 1 x x = 10 x 4 x 420 x = ( 10 x 4 x 420 ) / ( 6 ) x = 2800 . answer : c\"" - }, - { - "Answer": 18000, - "Options": "a ) $ 3,750 , b ) $ 5,600 , c ) $ 8,100 , d ) $ 18,000 , e ) $ 22,500", - "Correct": "d", - "Explanation": "\"x = 8 % 112 / x years = 112 / 8 = 14 years now , money triples every 14 years therefore , in 14 yrs , if $ 2000 triples to $ 6000 , in 28 years , it will again triple to $ 6000 * 3 = $ 18,000 answer d\"" - }, - { - "Answer": 33, - "Options": "a ) s . 12 , b ) s . 15 , c ) s . 18 , d ) s . 21 , e ) s . 33", - "Correct": "e", - "Explanation": "\"dividend on rs . 44 = rs . 9 / 100 x 44 = rs . 3.96 . rs . 12 is an income on rs . 100 . rs . 3.96 is an income on rs . 100 / 12 x 3.96 = rs . 33 . answer : option e\"" - }, - { - "Answer": 20, - "Options": "a ) 20 % , b ) 30 % , c ) 35 % , d ) 37.5 % , e ) 40 %", - "Correct": "a", - "Explanation": "\"assume the total price = 100 x price after 20 % markup = 120 x price after 25 % further markup = 1.25 * 120 x = 150 x price after the discount = 0.8 * 150 x = 120 x hence total profit = 20 % option a\"" - }, - { - "Answer": 150, - "Options": "a ) 16 , b ) 127 , c ) 12 , d ) 18 , e ) 150", - "Correct": "e", - "Explanation": "\"percentage of profit = 30 / 20 * 100 = 150 % answer : e\"" - }, - { - "Answer": 20, - "Options": "a ) 10 , b ) 12.5 , c ) 20 , d ) 12 , e ) 14.5", - "Correct": "c", - "Explanation": "s . i = ( p * r * t ) / 100 160 = 800 r / 100 r = 160 / 8 = 20 % answer c" - }, - { - "Answer": 75, - "Options": "a ) 33 , b ) 75 , c ) 23 , d ) 20 , e ) 287", - "Correct": "b", - "Explanation": "let the total number of apples in the basket be m 12 % of the apples are rotten , and apples in good condition are 66 therefore , according to the question , 88 % of m = 66 88 / 100 \u00d7 m = 66 m = ( 66 \u00d7 100 ) / 88 m = 3 \u00d7 25 m = 75 therefore , total number of apples in the basket is 75 . answer : b" - }, - { - "Answer": 10, - "Options": "a ) 9 % , b ) 10 % , c ) 11 % , d ) 12 % , e ) 13 %", - "Correct": "b", - "Explanation": "\"let x be the percentage decrease in fox jeans pony jeans = 22 - x ( 15 * x / 100 ) * 3 + ( 18 ( 22 - x ) / 100 ) * 2 = 9 . . . . . . . . . . . given 45 x / 100 + 792 - 36 x / 100 = 9 9 x + 792 / 100 = 9 9 x + 792 = 900 9 x = 108 x = 12 = fox jeans hence pony jeans = 22 - 12 = 10 answer : b\"" - }, - { - "Answer": 500, - "Options": "a ) 228 , b ) 288 , c ) 500 , d ) 200 , e ) 881", - "Correct": "c", - "Explanation": "\"let the sp of the refrigerator and the mobile phone be rs . r and rs . m respectively . r = 15000 ( 1 - 2 / 100 ) = 15000 - 300 m = 8000 ( 1 + 10 / 100 ) = 8000 + 800 total sp - total cp = r + m - ( 15000 + 8000 ) = - 300 + 800 = rs . 500 as this is positive , an overall profit of rs . 500 was made . answer : c\"" - }, - { - "Answer": 400, - "Options": "a ) 320 , b ) 375.2 , c ) 400 , d ) 408.3 , e ) 440", - "Correct": "c", - "Explanation": "\"the question stem asks us for the distance possible with 10 gallons of fuel at a constant speed of 60 miles per hour . we therefore first calculate the fuel efficiency at that speed . the stem tells us that at 50 miles / hour , the car will run 40 miles / gallon and at 60 miles / hour , that distance decreases by 20 % . we can therefore conclude that the car will travel 40 miles / gallon at a constant speed of 60 miles / gallon . with 10 gallons of fuel , the car can therefore travel 40 miles / gallon * 10 gallons = 400 miles . answer c .\"" - }, - { - "Answer": 75, - "Options": "a ) 25 , b ) 30 , c ) 50 , d ) 55 , e ) 75", - "Correct": "e", - "Explanation": "\"i came up with ( e ) 75 think of 100 people total : from the first fact , 30 of these are women with fair hair . from the second fact , these 20 women make up 40 % of the total fair haired population . we can then make a ratio of 60 : 40 fair haired men to fair haired women . this means that ( 60 / 40 ) * 30 equals the number of fair haired men , which is 45 men with fair hair . add this 45 to the 30 women and get 75 fair haired men and women out of 100 total men and women . 75 % e\"" - }, - { - "Answer": 445, - "Options": "a ) rs . 200 , b ) rs . 445 , c ) rs . 275 , d ) rs . 425 , e ) none of these", - "Correct": "b", - "Explanation": "\"average would be : 350 = ( 255 + x ) / 2 on solving , x = 445 . answer : b\"" - }, - { - "Answer": 144, - "Options": "a ) 81 , b ) 100 , c ) 120 , d ) 135 , e ) 144", - "Correct": "e", - "Explanation": "\"my solution : wholesale price = 108 retail price , be = x he provides 10 % discount on retail price = x - 10 x / 100 this retail price = 20 % profit on wholesale price x - 10 x / 100 = 108 + 1 / 5 ( 108 ) x = 144 ; answer : e\"" - }, - { - "Answer": 274.1666666666667, - "Options": "a ) 274.17 , b ) 280.17 , c ) 299.17 , d ) 266.17 , e ) 279.17", - "Correct": "a", - "Explanation": "\"x * ( 85 / 100 ) = ( 470 - x ) 119 / 100 x = 274.17 answer : a\"" - }, - { - "Answer": 140, - "Options": "a ) 115 , b ) 120 , c ) 140 , d ) 152 , e ) 165", - "Correct": "c", - "Explanation": "120 prefer x ( group 1 ) ; 80 prefer y ( group 2 ) . city y needs 140 people : letall 80 who prefer y ( entire group 2 ) be relocated there , the rest 60 will be those who prefer x from group 1 ; city x needs 60 people : 120 - 60 = 60 from group 1 will be relocated to x , which they prefer . so , the highest possible number of employees who will be relocated to the city they prefer is 80 + 60 = 140 . answer : c ." - }, - { - "Answer": 37500.00000000001, - "Options": "a ) rs . 40000 , b ) rs . 36000 , c ) rs . 37500 , d ) rs . 45000 , e ) none of these", - "Correct": "c", - "Explanation": "savings 40 % - 15000 expenditure 60 % - 22500 total - 37500 answer : c" - }, - { - "Answer": 8.695652173913047, - "Options": "a ) 22 % , b ) 25 % , c ) 77 % , d ) 99 % , e ) 8.7 %", - "Correct": "e", - "Explanation": "\"920 - - - 80 100 - - - ? = > 8.7 % answer : e\"" - }, - { - "Answer": 18.916731019777675, - "Options": "a ) 14 , b ) 15 , c ) 18.92 , d ) 19 , e ) 25", - "Correct": "c", - "Explanation": "30 ^ 2 - 10 ^ 2 = 800 it means that the height is equal to 28.28 . since the top of the ladder slips down 5 feet , then the height of the wall = 28.28 - 5 = 23.28 the bottom = sqrt ( 30 ^ 2 - 23.28 ^ 2 ) = sqrt ( 900 - 541.95 ) = 18.92 ans is c" - }, - { - "Answer": 3.125, - "Options": "a ) 2.8 liters . , b ) 3.125 liters . , c ) 8.5 liters . , d ) 2.6 liters . , e ) 2.1 liters .", - "Correct": "b", - "Explanation": "answer : explanation : in each of the solutions , there is a pure tomato component and some water . so while boiling , water evaporates but tomato not . so we equate tomato part in the both equations . \u00e2 \u2021 \u2019 \u00e2 \u2021 \u2019 10 % ( 25 ) = 80 % ( x ) \u00e2 \u2021 \u2019 \u00e2 \u2021 \u2019 x = 3.125 liters . answer : b" - }, - { - "Answer": 0.7931034482758621, - "Options": "a ) 5 / 16 , b ) 1 / 3 , c ) 23 / 29 , d ) 7 / 10 , e ) 5 / 7", - "Correct": "c", - "Explanation": "lets take total employees are 100 . given that , total women = 58 and total married = 60 . total men = 100 - 58 = 42 and single men = 2 / 3 * 42 = 28 . married men = total men - single men = 42 - 28 = 14 . married women = total married - married men = 60 - 14 = 46 . fraction of women are married = married women / total women = 46 / 58 = 23 / 29 . ans c" - }, - { - "Answer": 3.5, - "Options": "a ) 1.5 % , b ) 2.5 % , c ) 3.5 % , d ) 4.5 % , e ) 5.5 %", - "Correct": "c", - "Explanation": "\"let p be the original price and let x be the number of items sold originally . the original income is p * x . after the changes , the income is 0.9 p * 1.15 x = 1.035 * ( p * x ) , an increase of 3.5 % . the answer is c .\"" - }, - { - "Answer": 18.4, - "Options": "a ) 20 , b ) 15 , c ) 18.4 , d ) 20 , e ) 12.8", - "Correct": "c", - "Explanation": "\"92 % - - - - 25 125 % - - - - ? 92 / 125 * 25 = 18.4 answer : c\"" - }, - { - "Answer": 44, - "Options": "a ) 77 , b ) 66 , c ) 44 , d ) 99 , e ) 11", - "Correct": "c", - "Explanation": "g % = 20 + 20 + ( 20 * 20 ) / 100 = 44 % answer : c" - }, - { - "Answer": 1799.9999999999984, - "Options": "a ) 2277 , b ) 2667 , c ) 3600 , d ) 2766 , e ) 1800", - "Correct": "e", - "Explanation": "\"p = 72 ( 100 / 5 ) ^ 2 = > p = 1800 answer : e\"" - }, - { - "Answer": 20, - "Options": "a ) $ 20 , b ) $ 30 , c ) $ 45 , d ) $ 15 , e ) $ 60", - "Correct": "a", - "Explanation": "5 % of ( 25 % of $ 1600 ) = 5 / 100 ( 25 / 100 * 1600 ) = $ 20 answer is a" - }, - { - "Answer": 180, - "Options": "a ) 140 % , b ) 180 % , c ) 120 % , d ) 100 % , e ) 150 %", - "Correct": "b", - "Explanation": "\"let cost price = 100 % selling price = 140 % new s . p . = 280 % p % = 280 - 100 = 180 % answer is b\"" - }, - { - "Answer": 7.000000000000001, - "Options": "a ) 7 % , b ) 12 % , c ) 74 % , d ) 10 % , e ) 45 %", - "Correct": "a", - "Explanation": "\"let the rate be r % p . a . then , ( 5000 * r * 2 ) / 100 + ( 3000 * r * 4 ) / 100 = 1540 100 r + 120 r = 1540 r = 7 % answer : a\"" - }, - { - "Answer": 999.9999999999998, - "Options": "a ) 621 , b ) 276 , c ) 236 , d ) 1000 , e ) 211", - "Correct": "d", - "Explanation": "\"explanation : ratio of investments of a , b and c is 8000 : 10000 : 12000 = 4 : 5 : 6 and also given that , profit share of b is rs . 2500 = > 5 parts out of 15 parts is rs . 2500 now , required difference is 6 - 4 = 2 parts required difference = 2 / 5 ( 2500 ) = rs . 1000 answer : d\"" - }, - { - "Answer": 8.588957055214724, - "Options": "a ) 15 % , b ) 14.25 % , c ) 8.58 % , d ) 10.5 % , e ) 11.5 %", - "Correct": "c", - "Explanation": "\"explanation : the difference between compound interest and simple interest on rs . p for 2 years at r % per annum = ( r \u00e3 \u2014 si ) / ( 2 \u00e3 \u2014 100 ) difference between the compound interest and simple interest = 340 - 326 = 14 ( r \u00e3 \u2014 si ) / ( 2 \u00e3 \u2014 100 ) = 14 ( r \u00e3 \u2014 326 ) / ( 2 \u00e3 \u2014 100 ) = 14 r = 8.58 % answer : option c\"" - }, - { - "Answer": 1250, - "Options": "a ) 1250 m , b ) 1310 m , c ) 1500 m , d ) 1000 m , e ) 1195 m", - "Correct": "a", - "Explanation": "\"speed = 5 * 5 / 18 = 25 / 18 m / sec distance covered in 15 minutes = 25 / 18 * 15 * 60 = 1250 m answer is a\"" - }, - { - "Answer": 10.999999999999998, - "Options": "a ) 19 , b ) 17 , c ) 13 , d ) 11 , e ) 12", - "Correct": "d", - "Explanation": "\"7 * 5 : 5 * x = 7 : 11 x = 11 answer : d\"" - }, - { - "Answer": 23, - "Options": "a ) 23 % , b ) 42 % , c ) 32 % , d ) 12 % , e ) 22 %", - "Correct": "a", - "Explanation": "\"explanation : suppose he has 100 items . let c . p . of each item be re . 1 . total cost = rs . 100 . number of items left after theft = 70 . s . p . of each item = rs . 1.10 total sale = 1.10 * 70 = rs . 77 hence , loss % = 23 / 100 * 100 = 23 % answer : a\"" - }, - { - "Answer": 67, - "Options": "a ) 72 % , b ) 42 % , c ) 32 % , d ) 67 % , e ) 22 %", - "Correct": "d", - "Explanation": "\"explanation : suppose he has 100 items . let c . p . of each item be re . 1 . total cost = rs . 100 . number of items left after theft = 30 . s . p . of each item = rs . 1.10 total sale = 1.10 * 30 = rs . 33 hence , loss % = 67 / 100 * 100 = 67 % answer : d\"" - }, - { - "Answer": 140, - "Options": "a ) 100 rs , b ) 150 rs , c ) 140 rs , d ) 180 rs , e ) 200 rs", - "Correct": "c", - "Explanation": "\"gain in 2 years = [ ( 7000 * 6 * 2 ) / 100 ] - [ ( 7000 * 4 * 2 ) / 100 ] 840 - 560 = 280 gain in 1 year = ( 280 / 2 ) = 140 rs answer : c\"" - }, - { - "Answer": 99.99999999999999, - "Options": "a ) 100 % , b ) 33.33 % , c ) 40 % , d ) 50 % , e ) 66.66 %", - "Correct": "a", - "Explanation": "\"- - - - - - - - - - - - - - - - > ryegrass x - - - - - - - - - - - - - - > 40 % y - - - - - - - - - - - - - - > 25 % m ( mixture ) - - - - > 40 % 0.4 x + ( m - x ) 0.25 = 0.4 m 0.15 x = 0.15 m x = 1 m x = 100 % of m a\"" - }, - { - "Answer": 222.22222222222223, - "Options": "a ) 191 , b ) 213 , c ) 221 , d ) 223 , e ) 226", - "Correct": "d", - "Explanation": "\"for this question , we ' ll need the following formula : sell price = cost + profit we ' re told that the profit on 1 item is $ 20 and that this represents 10 % of the cost : sell price = cost + $ 60 sell price = $ 600 + $ 60 thus , the sell price is $ 660 for each item . selling all 100 items gives the retailer . . . 100 ( $ 60 ) = $ 2,000 of profit if the retailer offers a 5 % discount on the sell price , then the equation changes . . . 5 % ( 660 ) = $ 33 discount $ 627 = $ 600 + $ 27 now , the retailer makes a profit of just $ 27 per item sold . to earn $ 2,000 in profit , the retailer must sell . . . . $ 27 ( x ) = $ 2,000 x = 2,000 / 27 x = 222.222222 items you ' ll notice that this is not among the answer choices . . . . 221 and 223 are . selling 221 items would get us 9 ( 221 ) = $ 1989 which is not enough money . to get back to at least $ 2,000 , we need to sell 223 items . final answer : d\"" - }, - { - "Answer": 139.99999999999997, - "Options": "a ) 80 , b ) 95 , c ) 105 , d ) 120 , e ) 140", - "Correct": "e", - "Explanation": "\"set up equation : x = total number of workers 160 = 0,4 * 2 / 3 * x + 0,8 * 1 / 3 * x 160 = 16 / 30 x x = 300 300 - 160 = 140 answer e\"" - }, - { - "Answer": 70.76923076923076, - "Options": "a ) 4 % , b ) 10 % , c ) 96 % , d ) 90.12 % , e ) 70.77 %", - "Correct": "e", - "Explanation": "no of employees = 100 ( say ) men = 35 women = 65 men speaking french = 0.6 * 35 = 21 employees speaking french = 0.4 * 100 = 40 therefore women speaking french = 40 - 21 = 19 and women not speaking french = 65 - 19 = 46 % of women speaking french = 46 / 65 * 100 = 70.77 % answer e" - }, - { - "Answer": 3886.25, - "Options": "a ) 3886.25 , b ) 3286.25 , c ) 3186.25 , d ) 3386.25 , e ) 3586.25", - "Correct": "a", - "Explanation": "\"time = 2 years 4 months = 2 ( 4 / 12 ) years = 2 ( 1 / 3 ) years . amount = $ [ 10000 x ( 1 + \u00ad ( 15 / 100 ) ) 2 x ( 1 + ( ( 1 / 3 ) * 15 ) / 100 ) ] = $ [ 10000 * ( 23 / 20 ) * ( 23 / 20 ) * ( 21 / 20 ) ] = $ 13886.25 . : . c . i . = rs . ( 13886.25 - 10000 ) = $ 3886.25 answer a .\"" - }, - { - "Answer": 5, - "Options": "a ) 12 , b ) 12.5 , c ) 13 , d ) 5 , e ) 14", - "Correct": "d", - "Explanation": "\"explanation : let sum = x then simple interest = x rate = ( 100 * x ) / ( x * 20 ) = 5 option d\"" - }, - { - "Answer": 1260, - "Options": "a ) rs . 1200 , b ) rs . 1230 , c ) rs . 1260 , d ) rs . 1290 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : let the new s . p . be x , then . ( 100 - loss % ) : ( 1 st s . p . ) = ( 100 + gain % ) : ( 2 nd s . p . ) = > ( 95 / 1140 = 105 / x ) = > x = 1260 option c\"" - }, - { - "Answer": 181.50000000000003, - "Options": "a ) $ 118.00 , b ) $ 120.00 , c ) $ 181.15 , d ) $ 122.00 , e ) $ 140.00", - "Correct": "c", - "Explanation": "\"using formula - a = p ( 1 + r / n ) ^ nt given p = 150 n = 2 t = 1 r = 0.2 substituting value in formula a = 150 ( 1 + 0.2 / 2 ) ^ 2 a = 181.15 $ = c\"" - }, - { - "Answer": 4.499999999999993, - "Options": "a ) 0.2 % , b ) 0.8 % , c ) 1.2 % , d ) 1.6 % , e ) 4.5 %", - "Correct": "e", - "Explanation": "\"( 100 % - 5 % ) * ( 100 % + 10 % ) = 0.95 * 1.10 = 1.045 = 104.5 % . the net percentage change in the price of the stock is ( + ) 4.5 % the answer is e\"" - }, - { - "Answer": 182, - "Options": "a ) 182 , b ) 100 , c ) 104 , d ) 150 , e ) 124", - "Correct": "a", - "Explanation": "\"65 % of 280 = x 0.65 * 280 = x 182 = x answer : a\"" - }, - { - "Answer": 12000, - "Options": "a ) 12000 , b ) 14000 , c ) 8000 , d ) 5000 , e ) 3000", - "Correct": "a", - "Explanation": "x * 12 : 2 x * 6 : 3 x * 4 1 : 1 : 1 1 / 3 * 36000 = 12000 answer : a" - }, - { - "Answer": 78.57142857142857, - "Options": "a ) 20 % , b ) 40 % , c ) 50 % , d ) 60 % , e ) 78.58 %", - "Correct": "e", - "Explanation": "\"we should be careful about what are we measuring % on / what is the base . . let the marked up price = 100 . . selling price = 100 - 70 % of 100 = 30 . . profit = 40 % . . therefore the wholesale purchase cost = x . . . . 1.4 x = 30 or x = 21.42 . . . marked price was 100 so . . . so answer is 78.58 % . . e\"" - }, - { - "Answer": 9000, - "Options": "a ) 9000 , b ) 6000 , c ) 5000 , d ) 4000 , e ) 3000", - "Correct": "a", - "Explanation": "simple way to solve this question is to use options . from si , we know that x * y = 45,000 . now , put the value of x = 9000 , we will have y = 5 % to calculate ci , now , we know 1 st year amount = 9000 + 5 % of 9000 = 9450 . 2 nd year , amount = 9450 + 5 % of 9450 = 9922.50 . we can see after 2 years interest = 9922.50 - 9000 = 922.50 . hence , it satisfies the question . hence a is the correct answer" - }, - { - "Answer": 11.363636363636363, - "Options": "a ) 6.25 , b ) 11.36 , c ) 7.4 , d ) 5 , e ) 6", - "Correct": "b", - "Explanation": "\"explanation : runs scored in the first 10 overs = 10 \u00d7 3.2 = 32 total runs = 282 remaining runs to be scored = 282 - 32 = 250 remaining overs = 22 run rate needed = 250 / 22 = 11.36 answer : option b\"" - }, - { - "Answer": 8000, - "Options": "a ) 8000 , b ) 6000 , c ) 5000 , d ) 4000 , e ) 3000", - "Correct": "a", - "Explanation": "\"simple way to solve this question is to use options . from si , we know that x * y = 40,000 . now , put the value of x = 8000 , we will have y = 5 % to calculate ci , now , we know 1 st year amount = 8000 + 5 % of 8000 = 8400 . 2 nd year , amount = 8400 + 5 % of 8400 = 8820 . we can see after 2 years interest = 8820 - 8000 = 820 . hence , it satisfies the question . hence a is the correct answer\"" - }, - { - "Answer": 70, - "Options": "a ) 70 , b ) 65 , c ) 55 , d ) 75 , e ) 60", - "Correct": "a", - "Explanation": "30 - 9 = 21 21 / 30 or 7 / 10 7 / 10 = 70 / 100 = 70 % answer is a" - }, - { - "Answer": 288, - "Options": "a ) 288 , b ) 200 , c ) 204 , d ) 207 , e ) 210", - "Correct": "a", - "Explanation": "\"sp = 1.20 * 240 = 288 answer : a\"" - }, - { - "Answer": 137.1428571428571, - "Options": "a ) 80 , b ) 95 , c ) 105 , d ) 120 , e ) 137", - "Correct": "e", - "Explanation": "\"set up equation : x = total number of workers 120 = 0,4 * 2 / 3 * x + 0,6 * 1 / 3 * x 120 = 14 / 30 x x = 257 257 - 120 = 137 answer e\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 20.8 , b ) 30.4 , c ) 31.8 , d ) 32.5 , e ) 33.3", - "Correct": "e", - "Explanation": "\"$ 72 - $ 48 = 24 $ ( 24 / 72 ) * 100 = 33.33 % answer : e\"" - }, - { - "Answer": 62.000000000000014, - "Options": "a ) 17 % , b ) 62 % , c ) 12 % , d ) 19 % , e ) 22 %", - "Correct": "b", - "Explanation": "\"original price = 100 cp = 90 s = 90 * ( 180 / 100 ) = 162 100 - 162 = 62 % answer : b\"" - }, - { - "Answer": 2100, - "Options": "a ) s . 2090 , b ) s . 2160 , c ) s . 2100 , d ) s . 2202 , e ) s . 2092", - "Correct": "c", - "Explanation": "\"s . p . = 75 % of rs . 2800 = rs . 75 x 2800 / 100 = rs . 1190 answer : option c\"" - }, - { - "Answer": 120, - "Options": "a ) rs . 120 , b ) rs . 125 , c ) rs . 130 , d ) rs . 135 , e ) rs . 140", - "Correct": "a", - "Explanation": "\"explanation : 2400 * ( 40 / 100 ) = 960 - - - - 8 ? - - - - 1 = > rs . 120 answer : a\"" - }, - { - "Answer": 15.491933384829668, - "Options": "a ) 65 , b ) 44 , c ) 18 , d ) 15.49 , e ) 14", - "Correct": "d", - "Explanation": "\"let the length and the breadth of the floor be l m and b m respectively . l = b + 200 % of b = l + 2 b = 3 b area of the floor = 240 / 3 = 80 sq m l b = 80 i . e . , l * l / 3 = 240 l 2 = 240 = > l = 15.49 answer : d\"" - }, - { - "Answer": 25, - "Options": "a ) 33 % , b ) 29 % , c ) 25 % , d ) 55 % , e ) 39 %", - "Correct": "c", - "Explanation": "\"c 25 % given that , cost price of 50 article is equal to selling price of 40 articles . let cost price of one article = rs . 1 selling price of 40 articles = rs . 50 but cost price of 40 articles = rs . 40 therefore , the trader made profit . \\ percentage of profit = 10 / 40 * 100 = 25 %\"" - }, - { - "Answer": 19.999999999999996, - "Options": "a ) 17 % , b ) 72 % , c ) 20 % , d ) 82 % , e ) 16 %", - "Correct": "c", - "Explanation": "\"original price = 100 cp = 80 s = 80 * ( 150 / 100 ) = 120 100 - 120 = 20 % answer : c\"" - }, - { - "Answer": 500, - "Options": "a ) $ 500 , b ) $ 800 , c ) $ 1,000 , d ) $ 1,600 , e ) $ 2,400", - "Correct": "a", - "Explanation": "\"let total rent the motel charge for all rooms = x if 10 rooms that were rented for 60 $ had instead been rented for 40 $ , then total difference in prices = 20 $ * 10 = 200 $ total rent the motel charged would have been reduced by 40 % . 4 x = 200 = > x = 500 answer a\"" - }, - { - "Answer": 28.000000000000004, - "Options": "a ) 28 % , b ) 72 % , c ) 12 % , d ) 82 % , e ) 16 %", - "Correct": "a", - "Explanation": "\"original price = 100 cp = 80 s = 80 * ( 160 / 100 ) = 128 100 - 128 = 28 % answer : a\"" - }, - { - "Answer": 9795.3216374269, - "Options": "a ) s . 6000 , b ) s . 9000 , c ) s . 10800 , d ) s . 9795 , e ) s . 9980", - "Correct": "d", - "Explanation": "let actual price was 100 . after three successive discount this will become , 100 = = 20 % discount = > 80 = = 10 % discount = > 72 = = 5 % discount = 68.4 now compare , 68.4 = 6700 1 = 6700 / 68.4 100 = ( 6700 * 100 ) / 68.4 = rs . 9795 . answer : option d" - }, - { - "Answer": 7.200000000000001, - "Options": "a ) 7.2 % , b ) 9 % , c ) 9.2 % , d ) 8.6 % , e ) 8.4 %", - "Correct": "a", - "Explanation": "\"the amount of chromium in the new 15 + 35 = 50 kg alloy is 0.10 * 15 + 0.06 * 35 = 3.6 kg , so the percentage is 3.6 / 50 * 100 = 7.2 % . answer : a .\"" - }, - { - "Answer": 30, - "Options": "a ) 15 % , b ) 25 % , c ) 30 % , d ) 40 % , e ) 45 %", - "Correct": "c", - "Explanation": "\"cost price of article = 48 $ % of overhead cost = 5 net profit = 12 $ we need to calculate % markup net profit as % of cost price = ( 12 / 48 ) * 100 = 25 % total markup should be = 25 + 5 = 30 % answer c\"" - }, - { - "Answer": 79.2, - "Options": "a ) 80.0 , b ) 79.2 , c ) 81.0 , d ) 81.1 , e ) 81.9", - "Correct": "b", - "Explanation": "\"consider price of the all items as $ 100 after a initial reduction of 12 % price becomes = 0.88 * 100 = $ 88 after the final reduction of 10 % price becomes = 0.9 * 88 = $ 79.2 price of all items on second day is 79.2 % of price on first day correct answer option b\"" - }, - { - "Answer": 1250, - "Options": "a ) 2789 , b ) 2772 , c ) 1250 , d ) 6725 , e ) 2099", - "Correct": "c", - "Explanation": "\"cp = sp * ( 100 / ( 100 + profit % ) ) = 1250 ( 100 / 160 ) = rs . 1250 . answer : c\"" - }, - { - "Answer": 2419.999999999998, - "Options": "a ) rs . 2530 , b ) rs . 2430 , c ) rs . 2420 , d ) rs . 2410 , e ) rs . 2440", - "Correct": "c", - "Explanation": "\"let the sum be rs . p p { [ 1 + 10 / 100 ] 2 - 1 } = 420 p ( 10 / 100 ) ( 2 + 10 / 100 ) = 420 [ a 2 - b 2 = ( a - b ) ( a + b ) ] p = 420 / ( 0.1 ) ( 2.1 ) = 2000 . amount = 2000 + 420 = rs . 2420 answer : c\"" - }, - { - "Answer": 260, - "Options": "a ) 130 % , b ) 140 % , c ) 150 % , d ) 260 % , e ) 170 %", - "Correct": "d", - "Explanation": "\"explanation : let the c . p . = x , then s . p . = ( 130 / 100 ) x = 13 x / 10 new s . p . = 2 ( 13 x / 10 ) = 26 x / 10 profit = 26 x / 10 - x = 26 x / 10 profit % = ( profit / c . p . ) * 100 = > ( 26 x / 10 ) * ( 1 / x ) * 100 = 260 % option d\"" - }, - { - "Answer": 10.857142857142863, - "Options": "a ) 10.85 % , b ) 14.85 % , c ) 15.85 % , d ) 16.85 % , e ) 17.85 %", - "Correct": "a", - "Explanation": "\"70 * ( 90 / 100 ) * ( ( 100 - x ) / 100 ) = 56.16 x = 10.85 % answer : a\"" - }, - { - "Answer": 5, - "Options": "a ) 5 % , b ) 8 % , c ) 11 % , d ) 14 % , e ) 18 %", - "Correct": "a", - "Explanation": "\"1260 - 1200 = 60 is the rate of interest on $ 1200 for one year . the rate of interest = ( 100 * 60 ) / ( 1200 ) = 5 % the answer is a .\"" - }, - { - "Answer": 5250.0000000000055, - "Options": "a ) 5250 , b ) 1267 , c ) 5750 , d ) 2267 , e ) 5262", - "Correct": "a", - "Explanation": "\"explanation : c . i . = [ 4000 * ( 1 + 10 / 100 ) 2 - 4000 ] = ( 4000 * 11 / 10 * 11 / 10 - 4000 ) = rs . 840 . sum = ( 420 * 100 ) / ( 3 * 8 ) = rs . 5250 answer : a\"" - }, - { - "Answer": 1.2499999999999998, - "Options": "a ) 1.25 kg , b ) 1.29 kg , c ) 1.85 kg , d ) 3.25 kg , e ) 1.23 kg", - "Correct": "a", - "Explanation": "answer : a ) 1.25 kg" - }, - { - "Answer": 79.99999999999773, - "Options": "a ) 40 , b ) 60 , c ) 80 , d ) 67 , e ) 30", - "Correct": "c", - "Explanation": "\"let c . p . of clock be rs . x . then , c . p . of 90 clocks = rs . 90 x . [ ( 110 % of 40 x ) + ( 120 % of 50 x ) ] - ( 115 % of 90 x ) = 40 44 x + 60 x - 103.5 x = 40 0.5 x = 40 = > x = 80 answer : c\"" - }, - { - "Answer": 49, - "Options": "a ) $ 37.80 , b ) $ 49 , c ) $ 39.20 , d ) $ 39.50 , e ) $ 40.60", - "Correct": "b", - "Explanation": "a farmer spent 40 % money on chicken feed , so he spent 0.4 * $ 35 = $ 14 on chicken feed , thus he spent the remaining 35 - 14 = $ 21 on goat feed . now , since he bought chicken feed at a 20 % discount then the original price of it was x * 0.5 = $ 14 - - > x = $ 28 . therefore if the farmer had paid full price for both the chicken feed and the goat feed , then he would he have spent 28 + 21 = $ 49 . answer : b ." - }, - { - "Answer": 16.27906976744186, - "Options": "a ) 10 % , b ) 16.3 % , c ) 13.7 % , d ) 15.1 % , e ) 12.3 %", - "Correct": "b", - "Explanation": "let the original salary be $ 100 new salary = $ 86 increase on 86 = 14 increase on 100 = 14 / 86 * 100 = 16.3 % answer is b" - }, - { - "Answer": 576, - "Options": "a ) rs . 576 , b ) rs . 600 , c ) rs . 650 , d ) rs . 720 , e ) none", - "Correct": "a", - "Explanation": "\"solution number of shares = ( 14400 / 125 ) = 115.2 . face value = rs . ( 100 x 115.2 ) = rs . 11520 . annual income = rs . ( 5 / 100 x 11520 ) = rs . 576 . answer a\"" - }, - { - "Answer": 12.850677868800746, - "Options": "a ) 12.86 , b ) 15 , c ) 18 , d ) 19 , e ) 25", - "Correct": "a", - "Explanation": "\"22 ^ 2 - 7 ^ 2 = 435 it means that the height is equal to 20.85 . since the top of the ladder slips down 4 feet , then the height of the wall = 20.85 - 3 = 17.85 the bottom = sqrt ( 22 ^ 2 - 17.85 ^ 2 ) = sqrt ( 484 - 318.62 ) = 12.86 ans is a\"" - }, - { - "Answer": 100, - "Options": "a ) 300 , b ) 288 , c ) 270 , d ) 100 , e ) 281", - "Correct": "d", - "Explanation": "\"( 40 / 100 ) * x + 60 = x 4 x + 600 = 10 x 6 x = 600 x = 100 answer : d\"" - }, - { - "Answer": 2.380952380952382, - "Options": "a ) 50 / 13 , b ) 50 / 17 , c ) 50 / 19 , d ) 50 / 21 , e ) 50 / 23", - "Correct": "d", - "Explanation": "\"let sum = x . then , amount = 7 x / 6 s . i . = 7 x / 6 - x = x / 6 ; time = 7 years . rate = ( 100 * x ) / ( x * 6 * 7 ) = 50 / 21 % . answer : d\"" - }, - { - "Answer": 229.41176470588235, - "Options": "a ) 182 , b ) 208 , c ) 224 , d ) 229 , e ) 302", - "Correct": "d", - "Explanation": "\"if x is the original number of faculty members , then after 15 % reduction in faculty members number is . 85 x but we are given . 85 x = 195 x = 229 so the original number of faculty members is 229 correct answer - d\"" - }, - { - "Answer": 4.000000000000001, - "Options": "a ) 3 % , b ) 4 % , c ) 5 % , d ) 6 % , e ) 7 %", - "Correct": "b", - "Explanation": "here p = 468.75 which is the principle . amount = rs 500 amount = si + p 500 = [ 468.75 * ( 20 / 12 ) * r ] / 100 + 468.75 31.25 = 156.25 * 5 r / 100 r = 4 % answer : b" - }, - { - "Answer": 131.99999999999997, - "Options": "a ) 40 , b ) 60 , c ) 90 , d ) 132 , e ) 240", - "Correct": "d", - "Explanation": "\"cost price of 1 pound of bananas = 0.5 / 3 = 1 / 6 selling price of 1 pound of bananas = 1 / 4 profit per pound = ( 1 / 4 - 1 / 6 ) = ( 1 / 12 ) total profit is given as 11 ( 1 / 12 ) * x = 11 x = 132 answer : d\"" - }, - { - "Answer": 18, - "Options": "a ) 18 , b ) 15 , c ) 20 , d ) 24 , e ) 30", - "Correct": "a", - "Explanation": "\"60 liters of a 35 % hno 3 solution means hno 3 = 21 liters in 60 liters of the solution . now , let x be the pure hno 3 added . as per question , 21 + x = 50 % of ( 60 + x ) or x = 18 hence , a\"" - }, - { - "Answer": 86.66666666666667, - "Options": "a ) 18.0 % , b ) 62.0 % , c ) 79.2 % , d ) 86.67 % , e ) 82.0 %", - "Correct": "d", - "Explanation": "i do not think that venn will be helpful here . a table will make more sense . but here is my approach . 78 % regestered at least 2 weeks and paid full fee . 10 % paid full fee and did not registered at least 2 weeks in advance . then 90 % paid full fee and registered at least 2 weeks before . 90 % * x = 78 % where x is the number of people who registerd 2 weeks in advance and paid full fee . ( answer d )" - }, - { - "Answer": 400, - "Options": "a ) 400 , b ) 267 , c ) 287 , d ) 480 , e ) 811", - "Correct": "a", - "Explanation": "\"sp = 500 cp = ( sp ) * [ 100 / ( 100 + p ) ] = 500 * [ 100 / ( 100 + 25 ) ] = 500 * [ 100 / 125 ] = rs . 400 answer : a\"" - }, - { - "Answer": 45, - "Options": "a ) 45 , b ) 60 , c ) 70 , d ) 80 , e ) 20", - "Correct": "a", - "Explanation": "\"a 900 * ( 25 / 100 ) = 225 - - - - 5 ? - - - - 1 = > rs . 45\"" - }, - { - "Answer": 771.75, - "Options": "a ) $ 769.75 , b ) $ 771.75 , c ) $ 773.75 , d ) $ 775.75 , e ) $ 777.75", - "Correct": "b", - "Explanation": "\"1.05 * 1.05 * 700 = $ 771.75 the answer is b .\"" - }, - { - "Answer": 79.99999999999773, - "Options": "a ) 50 , b ) 90 , c ) 80 , d ) 28 , e ) 93", - "Correct": "c", - "Explanation": "let c . p . of clock be rs . x . then , c . p . of 90 clocks = rs . 90 x . [ ( 110 % of 40 x ) + ( 120 % of 50 x ) ] - ( 115 % of 90 x ) = 40 44 x + 60 x - 103.5 x = 40 0.5 x = 40 = > x = 80 answer : option c" - }, - { - "Answer": 8000, - "Options": "a ) 4000 , b ) 8000 , c ) 5000 , d ) 4500 , e ) 6000", - "Correct": "b", - "Explanation": "\"let the number of meters to be examined be x then , 0.05 % of x = 4 ( 5 / 100 ) * ( ( 1 / 100 ) * x = 4 x = 8000 answer is b\"" - }, - { - "Answer": 630.0000000000005, - "Options": "a ) 630 , b ) 620 , c ) 610 , d ) 600 , e ) none of these", - "Correct": "a", - "Explanation": "\"solution = interest % for 1 st year = 10 interest % for 2 nd year = 10 + 10 % of 10 = 10 + 10 * 10 / 100 = 11 total % of interest = 10 + 11 = 21 total interest = 21 % 3000 = 3000 * ( 21 / 100 ) = 630 answer a\"" - }, - { - "Answer": 60.00000000000001, - "Options": "a ) 60 , b ) 80 , c ) 100 , d ) 120 , e ) 140", - "Correct": "a", - "Explanation": "30 % of the members have passed the test , thus 70 % have not passed the test . we also know that 30 + 12 = 42 members have not passed the test , thus 0.7 * total = 42 - - > total = 60 . answer : a ." - }, - { - "Answer": 56.99999999999999, - "Options": "a ) 40 % , b ) 55 % , c ) 57 % , d ) 60 % , e ) 62 %", - "Correct": "c", - "Explanation": "\"total number of votes polled = ( 1136 + 7636 + 11628 ) = 20400 so , required percentage = 11628 / 20400 * 100 = 57 % c\"" - }, - { - "Answer": 4.761904761904762, - "Options": "a ) 4 % , b ) 3 6 / 7 % , c ) 4.76 % , d ) 5 % , e ) 6 %", - "Correct": "c", - "Explanation": "\"explanation : 250 = ( 1750 x 3 xr ) / 100 r = 4.76 % answer : option c\"" - }, - { - "Answer": 4012.6293507022187, - "Options": "a ) s . 3096 , b ) s . 4036 , c ) s . 4085 , d ) s . 4096 , e ) s . 5096", - "Correct": "b", - "Explanation": "\"principal = [ 4913 / ( 1 + 25 / ( 4 * 100 ) ) 3 ] = 4813 * 16 / 17 * 16 / 17 * 16 / 17 = rs . 4036 . answer : b\"" - }, - { - "Answer": 2, - "Options": "a ) 4 , b ) 6 , c ) 5 , d ) 2 , e ) 8", - "Correct": "d", - "Explanation": "we need on - time departure rate to be higher than 4 / 10 , so it should be at least 5 / 11 , which means that 5 out of 11 flights must depart on time . since for now 3 out of 4 flights departed on time then 5 - 3 = 2 subsequent flights need to depart on - time . answer : d" - }, - { - "Answer": 32, - "Options": "a ) 19 % , b ) 28 % , c ) 30 % , d ) 32 % , e ) 25 %", - "Correct": "d", - "Explanation": "investment 500 dollars 1 st year total gained = 100 total amount end of first year = 600 second year account increased by 10 % = 600 * 0.1 = 60 therefore total amount by second year end = 660 so total percentage increase in money = ( 660 - 500 ) * 100 / 500 = 32 % correct answer d = 32 %" - }, - { - "Answer": 23.076923076923077, - "Options": "a ) 25 % , b ) 23 1 / 13 % , c ) 16 7 / 3 % , d ) 16 6 / 3 % , e ) 16 2 / 3 %", - "Correct": "b", - "Explanation": "\"let the price of the article be rs . 100 . 30 % of 100 = 30 . new price = 100 + 30 = rs . 130 required percentage = ( 130 - 100 ) / 130 * 100 = 30 / 130 * 100 = 23 1 / 13 % answer : b\"" - }, - { - "Answer": 199.99999999999997, - "Options": "a ) $ 184 , b ) $ 192 , c ) $ 200 , d ) $ 208 , e ) $ 216", - "Correct": "c", - "Explanation": "\"0.8 * 0.9 * cost price = $ 144 cost price = $ 200 the answer is c .\"" - }, - { - "Answer": 4800, - "Options": "a ) 4000 , b ) 3050 , c ) 4400 , d ) 4800 , e ) none of these", - "Correct": "d", - "Explanation": "\"let the number be a given , 15 / 100 * 30 / 100 * 50 / 100 * a = 108 = > 3 / 20 * 3 / 10 * 1 / 2 * a = 108 = > a = 10 * 20 * 10 * 2 = 4800 . answer : d\"" - }, - { - "Answer": 6.25, - "Options": "a ) 6.25 , b ) 7.25 , c ) 8.25 , d ) 9.25 , e ) 10.25", - "Correct": "a", - "Explanation": "\"180 = ( 720 * 4 * r ) / 100 r = 6.25 % answer : a\"" - }, - { - "Answer": 360, - "Options": "a ) s . 360 , b ) s . 480 , c ) s . 500 , d ) s . 450 , e ) s . 550", - "Correct": "a", - "Explanation": "\"sp = 600 profit = 25 % cp = ( sp ) * [ 100 / ( 100 + p ) ] = 600 * [ 100 / 125 ] = 480 loss = 25 % = 25 % of 480 = rs . 120 sp = cp - loss = 480 - 120 = rs . 360 answer : a\"" - }, - { - "Answer": 13.416407864998739, - "Options": "a ) 65 , b ) 13.42 , c ) 18 , d ) 16 , e ) 14", - "Correct": "b", - "Explanation": "\"let the length and the breadth of the floor be l m and b m respectively . l = b + 200 % of b = l + 2 b = 3 b area of the floor = 300 / 5 = 60 sq m l b = 60 i . e . , l * l / 3 = 60 l 2 = 180 = > l = 13.42 answer : b\"" - }, - { - "Answer": 1272.000000000001, - "Options": "a ) 1585 , b ) 1454 , c ) 1656 , d ) 2458 , e ) 1272", - "Correct": "e", - "Explanation": "c . i . = [ 5000 * ( 1 + 12 / 100 ) 2 - 5000 ] = ( 5000 * 28 / 25 * 28 / 25 - 5000 ) = rs . 1272 . sum = ( 636 * 100 ) / ( 5 * 10 ) = rs . 1272 answer : e" - }, - { - "Answer": 2.5, - "Options": "a ) 6 % , b ) 2.5 % , c ) 4 % , d ) 5 % , e ) 3.5 %", - "Correct": "b", - "Explanation": "150 = ( 750 * 8 * r ) / 100 r = 2.5 % answer : b" - }, - { - "Answer": 70, - "Options": "a ) 5 % , b ) 70 % , c ) 25 % , d ) 40 % , e ) 55 %", - "Correct": "b", - "Explanation": "\"the complete round trip consists of driving to the service center and then back home again . so , once the technician drives to the service center he / she has already competed 50 % of the entire trip . since the technician completes a portion of the trip back home , the correct answer must be greater than 50 % so 0.5 + 0.5 * 0.4 = 0.70 answer : b\"" - }, - { - "Answer": 195, - "Options": "a ) 129 , b ) 287 , c ) 195 , d ) 188 , e ) 112", - "Correct": "c", - "Explanation": "\"explanation : cp per kg of mixture = [ 48 ( 150 ) + 36 ( 125 ) ] / ( 48 + 36 ) = rs . 139.28 sp = cp [ ( 100 + profit % ) / 100 ] = 139.28 * [ ( 100 + 40 ) / 100 ] = rs . 195 answer : c\"" - }, - { - "Answer": 312.5, - "Options": "a ) 400 , b ) 625 , c ) 1,250 , d ) 2,500 , e ) 312", - "Correct": "e", - "Explanation": "\"total fish = x percentage of second catch = ( 8 / 50 ) * 100 = 16 % so , x * 16 % = 50 x = 312 ans . e\"" - }, - { - "Answer": 9, - "Options": "a ) 5 liters , b ) 10 liters , c ) 15 liters , d ) 9 liters , e ) 6 liters", - "Correct": "d", - "Explanation": "\"required answer is = 27 ( 60 - 40 ) / 60 = 9 liters answer is d\"" - }, - { - "Answer": 7000, - "Options": "a ) 7000 , b ) 2787 , c ) 2799 , d ) 2699 , e ) 2790", - "Correct": "a", - "Explanation": "\"let the sum be rs . x . ( x * 18 * 2 ) / 100 - ( x * 12 * 2 ) / 100 = 840 = > 36 x / 100 - 24 x / 100 = 840 = > 12 x / 100 = 840 = > x = 7000 . answer : a\"" - }, - { - "Answer": 2519.9999999999995, - "Options": "a ) 2500 , b ) 2520 , c ) 3000 , d ) 3100 , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : number of valid votes = 70 % of 9000 = 6300 . valid votes polled by other candidates = 40 % of 6300 ( 40 / 1006300 ) = 2520 . harsh mishra a year ago 0 upvotes answer : b\"" - }, - { - "Answer": 12.5, - "Options": "a ) 10.5 % , b ) 12.5 % , c ) 15 % , d ) 22 % , e ) 30 %", - "Correct": "b", - "Explanation": "suppose there are x motorists . 10 % of them exceeded the speed limit and received the ticket , i . e . x / 10 . again , suppose total no . of motorists who exceeded the speed limit are y . 20 % of y exceeded the speed limit but did n ' t received the ticket , i . e . y / 5 . it means 4 y / 5 received the ticket . hence , 4 y / 5 = x / 10 or y / x = 1 / 8 or y / x * 100 = 1 / 8 * 100 = 12.5 % answer : b" - }, - { - "Answer": 20000, - "Options": "a ) rs 14000 , b ) rs 15000 , c ) rs 16000 , d ) rs 20000 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : s . i . = p \u00e2 \u02c6 \u2014 r \u00e2 \u02c6 \u2014 t / 100 = > p = s . i . \u00e2 \u02c6 \u2014 100 / r \u00e2 \u02c6 \u2014 t = > p = 7200 \u00e2 \u02c6 \u2014 100 / 12 \u00e2 \u02c6 \u2014 3 = rs 20000 option d\"" - }, - { - "Answer": 4000.0000000000005, - "Options": "a ) 2000 , b ) 3000 , c ) 4000 , d ) 5000 , e ) 6000", - "Correct": "c", - "Explanation": "explanation : total amount = rs . 10000 let money lent a = rs . x and money lent to b = rs . ( 10000 x ) x = rs . 6000 . so the amount of money lent to b = rs . 4000 answer : c" - }, - { - "Answer": 992, - "Options": "a ) $ 506 , b ) $ 774 , c ) $ 992 , d ) $ 854 , e ) $ 1021", - "Correct": "c", - "Explanation": "s . i = 920 - 800 = 120 p = $ 800 t = 3 years r = 100 * 120 / 800 * 3 = 5 % new rate = 5 + 3 = 8 % new s . i . = 800 * 8 * 3 / 100 = $ 192 new amount = 800 + 192 = $ 992 answer is c" - }, - { - "Answer": 9, - "Options": "a ) 5 % , b ) 6 % , c ) 7 % , d ) 8 % , e ) 9 %", - "Correct": "e", - "Explanation": "\"explanation : let rate = r % then time = r years . = > 900 \u2217 r \u2217 r / 100 = 729 = > r 2 = 81 = > r = 9 % option e\"" - }, - { - "Answer": 882, - "Options": "a ) $ 878 , b ) $ 880 , c ) $ 882 , d ) $ 884 , e ) $ 886", - "Correct": "c", - "Explanation": "\"1.05 * 1.05 * 800 = $ 882 the answer is c .\"" - }, - { - "Answer": 2700, - "Options": "a ) 2800 , b ) 2700 , c ) 2100 , d ) 2500 , e ) 3000", - "Correct": "b", - "Explanation": "\"total no of votes = 7500 20 % invalid = > 80 % valid tot valid votes = 7500 * 80 / 100 = > valid for 2 nd candidate got 7500 * 80 / 100 * 45 / 100 = 2700 answer b\"" - }, - { - "Answer": 1.0000000000001137, - "Options": "a ) 1 , b ) 2 , c ) 7 , d ) 4 , e ) 9", - "Correct": "a", - "Explanation": "\"625 = d ( 100 / 4 ) 2 d = 1 answer : a\"" - }, - { - "Answer": 6400, - "Options": "a ) $ 8,000 , b ) $ 5,600 , c ) $ 3,200 , d ) $ 6,400 , e ) $ 800", - "Correct": "d", - "Explanation": "d market value in 1982 = $ 8000 market value in 1983 = $ 8000 - ( $ 8000 x 10 / 100 ) = 8000 - 800 = $ 7200 market value in 1984 = market value in 1983 - ( 10 % of $ 8000 ) = 7200 - 800 = $ 6400" - }, - { - "Answer": 55.99999999999999, - "Options": "a ) 48 , b ) 52 , c ) 54 , d ) 58 , e ) 56", - "Correct": "e", - "Explanation": "\"let c = chair ; t = table 2 c + 1 t = 0.6 ( 1 c + 2 t ) or c ( 2 - 0.6 ) = 1.2 t - 1 t or 1.4 c = 0.2 t therefore c = 0.2 / 1.4 t = 1 / 7 t ic + 1 t = 64 or 1 / 7 t + 1 t = 64 therefore t = 64 * 7 / 8 = 56 e\"" - }, - { - "Answer": 1400, - "Options": "a ) 1400 , b ) 1500 , c ) 1600 , d ) 1700 , e ) 1800", - "Correct": "a", - "Explanation": "note : majority ( 20 % ) = difference in votes polled to win ( 60 % ) & defeated candidates ( 40 % ) 20 % = 60 % - 40 % 20 % - - - - - > 280 ( 20 \u00d7 14 = 280 ) 100 % - - - - - > 1400 ( 100 \u00d7 14 = 1400 ) a" - }, - { - "Answer": 12, - "Options": "a ) 4 , b ) 5 , c ) 56 , d ) 12 , e ) 7", - "Correct": "d", - "Explanation": "\"explanation : let the price be = rs . 100 , and number of units sold = 100 then , sale value = rs . ( 100 \u00d7 100 ) = rs . 10000 new sale value = rs . ( 140 \u00d7 80 ) = rs . 11200 increase % = 1200 / 10000 \u00d7 100 = 12 % answer : d\"" - }, - { - "Answer": 125, - "Options": "a ) rs . 72 , b ) rs . 125 , c ) rs . 112.50 , d ) rs . 116.50 , e ) none of these", - "Correct": "b", - "Explanation": "\"solution to obtain rs . 8 , investment = rs . 100 . to obtain rs . 10 , investment = rs . ( 100 / 8 x 10 ) = rs . 125 \u2234 market value of rs . 100 stock = rs . 125 answer b\"" - }, - { - "Answer": 2500, - "Options": "a ) 7000 , b ) 2500 , c ) 2778 , d ) 2800 , e ) 2791", - "Correct": "b", - "Explanation": "\"let the sum be rs . x . ( x * 18 * 2 ) / 100 - ( x * 12 * 2 ) / 100 = 300 = > 36 x / 100 - 24 x / 100 = 300 = > 12 x / 100 = 300 = > x = 2500 . answer : b\"" - }, - { - "Answer": 6, - "Options": "a ) 0.006 % , b ) 0.06 % , c ) 0.6 % , d ) 6 % , e ) 60 %", - "Correct": "d", - "Explanation": "\"we are given that 0.03 ounces of water evaporated each day . furthermore , we know that this process happened over a 20 - day period . to calculate the total amount of water that evaporated during this time frame we need to multiply 0.01 by 20 . this gives us : 0.03 x 20 = 0.6 ounces finally , we are asked for \u201c what percent \u201d of the original amount of water evaporated during this period . to determine this percentage , we have to make sure we translate the expression correctly . we can translate it to : ( amount evaporated / original amount ) x 100 % ( 0.6 / 10 ) x 100 % ( 6 / 100 ) x 100 % = 6 % answer d\"" - }, - { - "Answer": 53.299999999999955, - "Options": "a ) s . 53.30 , b ) s . 53.22 , c ) s . 51.219 , d ) s . 53.18 , e ) s . 51.10", - "Correct": "a", - "Explanation": "explanation : sum = ( 52 * 100 ) / ( 2 * 5 ) = rs . 520 amount = [ 520 * ( 1 + 5 / 100 ) 2 ] = rs . 573.3 c . i . = ( 573.3 - 520 ) = rs . 53.30 . answer : a" - }, - { - "Answer": 130, - "Options": "a ) 140 , b ) 120 , c ) 130 , d ) 110 , e ) 150", - "Correct": "c", - "Explanation": "c 130 % let c . p . be $ 100 . then , s . p . = $ 123.50 let marked price be $ x . then , 95 / 100 x = 123.50 x = 12350 / 95 = $ 130 now , s . p . = $ 130 , c . p . = $ 100 profit % = 30 % ." - }, - { - "Answer": 65.99999999999999, - "Options": "a ) 66 % , b ) 80 % , c ) 112 % , d ) 136 % , e ) 148 %", - "Correct": "a", - "Explanation": "\"let last year ' s salary be x . last year , sandy save 0.1 x this year , sandy saved 0.06 * 1.1 x = 0.066 x 0.066 x / 0.1 x = 0.66 = 66 % the answer is a .\"" - }, - { - "Answer": 40, - "Options": "a ) 74 % , b ) 52 % , c ) 40 % , d ) 18 % , e ) 8.5 %", - "Correct": "c", - "Explanation": "\"say the second solution ( which was 1 / 4 th of total ) was x % sugar , then 3 / 4 * 0.08 + 1 / 4 * x = 1 * 0.16 - - > x = 0.4 . alternately you can consider total solution to be 100 liters and in this case you ' ll have : 75 * 0.08 + 25 * x = 100 * 0.16 - - > x = 0.4 . answer : c .\"" - }, - { - "Answer": 7.500000000000003, - "Options": "a ) 6 % . , b ) 7.5 % . , c ) 9.2 % . , d ) 10.5 % . , e ) 11 % .", - "Correct": "b", - "Explanation": "\"denominator : 340 + 10 + 3.2 + 6.8 = 360 numerator : 340 ( 1 - . 88 - . 05 ) + 3.2 340 ( 0.07 ) + 3.2 23.8 + 3.2 27 ratio : 27 / 360 = 3 / 40 answer : b\"" - }, - { - "Answer": 0.42857142857142855, - "Options": "a ) 3 / 7 , b ) 5 / 9 , c ) 1 / 24 , d ) 4 / 9 , e ) 2 / 5", - "Correct": "a", - "Explanation": "\"an empty wooden vessel weighs 8 % of its total weight when filled with paint : vessel = 0.08 ( vessel + paint ) ; 8 v = v + p ( so the weight of completely filled vessel is 8 v ) p = 7 v ( so the weight of the paint when the vessels is completely filled is 7 v ) . the weight of a partially filled vessel is one half that of a completely filled vessel : v + p ' = 1 / 2 * 8 v ; p ' = 3 v ( so the weight of the paint when the vessels is partially filled is 3 v ) . what fraction of the vessel is filled ? so , we need to find the ratio of the weight of the paint when the vessel iscompletely filledto the weight of the paint when the vessel ispartially filled : p ' / p = 3 v / 7 v = 3 / 7 . answer : a .\"" - }, - { - "Answer": 4, - "Options": "a ) $ 4 , b ) $ 8 , c ) $ 12 , d ) $ 16 , e ) $ 432", - "Correct": "a", - "Explanation": "\"solution amount ( ci ) = p + ( 1 + r / n ) ^ nt = 5000 + ( 1 + 0.04 / 2 ) ^ 2 = 5404 amount ( si ) = p + ptr / 100 = 5000 + ( 5000 * 1 * 4 / 100 ) = 5400 difference = 5404 - 5400 = 4 $ a\"" - }, - { - "Answer": 4, - "Options": "a ) 12 , b ) 12.5 , c ) 13 , d ) 13.5 , e ) 4", - "Correct": "e", - "Explanation": "\"explanation : let sum = x then simple interest = x rate = ( 100 * x ) / ( x * 25 ) = 4 option e\"" - }, - { - "Answer": 30, - "Options": "a ) 25 , b ) 66 , c ) 30 , d ) 19 , e ) 01", - "Correct": "c", - "Explanation": "explanation : dividend on 1 share = ( 12.5 * 60 ) / 100 = rs . 7.5 rs . 25 is income on an investment of rs . 100 rs . 7.5 is income on an investment of rs . ( 7.5 * 100 ) / 25 = rs . 30 answer : c" - }, - { - "Answer": 16.666666666666668, - "Options": "a ) 12.5 % , b ) 13.5 % , c ) 11.5 % , d ) 14.5 % , e ) 16.6 %", - "Correct": "e", - "Explanation": "\"let principal = p , then , s . i . = p and time = 8 years rate = [ ( 100 x p ) / ( p x 6 ) ] % = 16.6 % per annum . answer : e\"" - }, - { - "Answer": 37.999999999999986, - "Options": "a ) 5 % , b ) 18 % , c ) 33 % , d ) 35 % , e ) 38 %", - "Correct": "e", - "Explanation": "\"soln : - profit in 1995 - 100 profit in 1996 - 115 % increase profit in 1997 in comparison to 1995 = 15 + 115 * 20 % = 38 % answer : e\"" - }, - { - "Answer": 10, - "Options": "a ) 10 % , b ) 20 % , c ) 30 % , d ) 35 % , e ) 45 %", - "Correct": "a", - "Explanation": "explanation : change in the price = rs 330 \u2013 rs 300 = rs 30 percentage of increase = change in the price initial price * 100 . percentage increase in price = ( 30 / 300 ) * 100 = 10 % a" - }, - { - "Answer": 24.137931034482758, - "Options": "a ) 3.0 , b ) 3.36 , c ) 24.13 , d ) 25.0 , e ) 31.36", - "Correct": "c", - "Explanation": "\"cost price * 1.16 = selling price - - > cost price * 1.16 = $ 28 - - > cost price = $ 24.13 . answer : c .\"" - }, - { - "Answer": 1600, - "Options": "a ) 648 , b ) 1,800 , c ) 1,600 , d ) 10,800 , e ) 64,800", - "Correct": "c", - "Explanation": "\"6 machines produce 240 bottles per minute ; 1 machine produces 240 / 6 = 40 bottles per minute ; 10 machines produce 40 * 10 = 400 bottles per minute ; in 4 minutes 10 machines produce 400 * 4 = 1,600 bottles . answer : c .\"" - }, - { - "Answer": 10.76923076923077, - "Options": "a ) 8.56 , b ) 10.75 , c ) 14.5 , d ) 16.5 , e ) 11.4", - "Correct": "b", - "Explanation": "\"70 % - - - 20 130 % - - - ? 70 / 130 * 20 = 10.75 answer : b\"" - }, - { - "Answer": 29.130434782608695, - "Options": "a ) 7.6 % , b ) 7.7 % , c ) 29.13 % , d ) 33.6 % , e ) 37.82 %", - "Correct": "c", - "Explanation": "explanation : let marked price be re . 1 each c . p . of 60 pens = rs . 46 s . p . of 60 pens = 99 % of rs . 60 = rs . 59.4 profit % = ( profit / c . p . ) x 100 profit % = ( 13.4 / 46 ) x 100 = 29.13 % answer : c" - }, - { - "Answer": 144, - "Options": "a ) 237 , b ) 126 , c ) 971 , d ) 611 , e ) 144", - "Correct": "e", - "Explanation": "\"explanation : let cp be 100 a sells at 25 % profit so sp = 125 b sells at 25 % profit = 125 x ( 1 + 25 / 100 ) = 156.25 cp sp 100 - - - 156.25 x - - - 225 cp = 225 x 100 / 156.25 = 144 answer : e\"" - }, - { - "Answer": 4, - "Options": "a ) 5 % , b ) 7 % , c ) 9 % , d ) 2 % , e ) 4 %", - "Correct": "e", - "Explanation": "\"160 = ( 800 * 5 * r ) / 100 r = 4 % answer : e\"" - }, - { - "Answer": 560, - "Options": "a ) $ 320 , b ) $ 440 , c ) $ 560 , d ) $ 670 , e ) $ 780", - "Correct": "c", - "Explanation": "\"the ratio of capital of a , b and c = 7000 : 11000 : 18000 = 7 : 11 : 18 a ' s share = ( 7 / 11 ) * 880 = $ 560 the answer is c .\"" - }, - { - "Answer": 15.000000000000002, - "Options": "a ) 3 , b ) 15 , c ) 14 , d ) 17 , e ) 20", - "Correct": "b", - "Explanation": "\"number of apples = 14 number of oranges = 23 let number of oranges that must be removed so that 70 % of pieces of fruit in bowl will be apples = x total number of fruits after x oranges are removed = 14 + ( 21 - x ) = 35 - x 14 / ( 35 - x ) = 7 / 10 = > 20 = 35 - x = > x = 15 answer b\"" - }, - { - "Answer": 900, - "Options": "a ) 218 , b ) 777 , c ) 900 , d ) 2688 , e ) 1991", - "Correct": "c", - "Explanation": "\"cp * ( 76 / 100 ) = 684 cp = 9 * 100 = > cp = 900 answer : c\"" - }, - { - "Answer": 19.53125, - "Options": "a ) 12.5 % , b ) 19.53 % , c ) 25 % , d ) 50 % , e ) none of these", - "Correct": "b", - "Explanation": "explanation : given , ritesh and co . generated revenue of rs . 1,600 in 2006 and that this was 12.5 % of the gross revenue . hence , if 1600 is 12.5 % of the revenue , then 100 % ( gross revenue ) is : = > ( 100 / 12.5 ) \u00d7 1600 . = > 12,800 . hence , the total revenue by end of 2007 is rs . 12,800 . in 2006 , revenue grew by rs . 2500 . this is a growth of : = > ( 2500 / 12800 ) \u00d7 100 . = > 19.53 % . answer : b" - }, - { - "Answer": 3.0000000000002274, - "Options": "a ) s . 10 , b ) s . 2 , c ) s . 5 , d ) s . 3 , e ) s . 4", - "Correct": "d", - "Explanation": "\"1875 = d ( 100 / 4 ) 2 d = 3 answer : d\"" - }, - { - "Answer": 30, - "Options": "a ) 16.12 % , b ) 16.66 % , c ) 30 % , d ) 17.66 % , e ) 18.1 %", - "Correct": "c", - "Explanation": "\"increase = ( 18 / 60 ) * 100 = ( 3 / 10 ) * 100 = 30 % . c\"" - }, - { - "Answer": 0.33, - "Options": "a ) 0.29 , b ) 0.33 , c ) 0.41 , d ) 0.482 , e ) 0.411", - "Correct": "b", - "Explanation": "\"explanation : probability that a speaks truth is 55 / 100 = 0.55 probability that b speaks truth is 60 / 100 = 0.6 since both a and b are independent of each other so probability of a intersection b is p ( a ) \u00d7 p ( b ) = 0.55 \u00d7 0.6 = 0.33 answer : b\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 10 % , b ) 33.33 % , c ) 20 % , d ) 25 % , e ) 50 %", - "Correct": "b", - "Explanation": "\"let the original salary be $ 100 new salary = $ 75 increase on 75 = 25 increase on 100 = [ ( 25 / 75 ) 100 ] % = 33.33 % answer is b\"" - }, - { - "Answer": 20, - "Options": "a ) 27 % , b ) 20 % , c ) 25 % , d ) 40 % , e ) 28 %", - "Correct": "b", - "Explanation": "\"900 - - - - 180 100 - - - - ? = > 20 % answer : b\"" - }, - { - "Answer": 99.99999999999999, - "Options": "a ) $ 92 , b ) $ 96 , c ) $ 100 , d ) $ 104 , e ) $ 108", - "Correct": "c", - "Explanation": "0.8 * 0.9 * cost price = $ 72 cost price = $ 100 the answer is c ." - }, - { - "Answer": 800, - "Options": "a ) 620 , b ) 400 , c ) 45 , d ) 500 , e ) 800", - "Correct": "e", - "Explanation": "\"cp = sp * ( 100 / ( 100 + profit % ) ) = 1000 ( 100 / 125 ) = rs . 800 . answer : e\"" - }, - { - "Answer": 66.66666666666666, - "Options": "a ) 16 % , b ) 66.67 % , c ) 17 % , d ) 17.61 % , e ) 17.56 %", - "Correct": "b", - "Explanation": "\"increase = ( 40 / 60 ) * 100 = ( 4 / 6 ) * 100 = 66.67 % . b\"" - }, - { - "Answer": 2400, - "Options": "a ) 1000 , b ) 2400 , c ) 1500 , d ) 1600 , e ) 1250", - "Correct": "b", - "Explanation": "\"p = 2000 r = 20 % required population of town = p ( 1 + r / 100 ) ^ t = 2000 ( 1 + 20 / 100 ) = 2000 ( 6 / 5 ) = 2400 answer is b\"" - }, - { - "Answer": 30, - "Options": "a ) 25 % , b ) 30 % , c ) 50 % , d ) 20 % , e ) 10 %", - "Correct": "b", - "Explanation": "s . p . = $ 195 gain = $ 45 c . p . = 195 - 45 = 150 gain % = 45 / 150 * 100 % = 30 % answer is b" - }, - { - "Answer": 375, - "Options": "a ) 228 , b ) 267 , c ) 375 , d ) 480 , e ) 811", - "Correct": "c", - "Explanation": "\"sp = 600 cp = ( sp ) * [ 100 / ( 100 + p ) ] = 600 * [ 100 / ( 100 + 60 ) ] = 600 * [ 100 / 160 ] = rs . 375 answer : c\"" - }, - { - "Answer": 37.5, - "Options": "a ) 33 % , b ) 28.02 % , c ) 37.5 % , d ) 30.5 % , e ) 22 %", - "Correct": "c", - "Explanation": "c 37.5 % let marked price = $ 100 . then , c . p . = $ 64 , s . p . = $ 88 gain % = 24 / 64 * 100 = 37.5 % ." - }, - { - "Answer": 2323, - "Options": "a ) 2323 , b ) 1223 , c ) 2563 , d ) 1853 , e ) 2353", - "Correct": "a", - "Explanation": "\"explanation : si = rs . 929.20 p = ? t = 5 years r = 8 % p = 100 \u00d7 si / rt = 100 \u00d7 929.20 / 8 \u00d7 5 = rs . 2323 answer : option a\"" - }, - { - "Answer": 41.99999999999999, - "Options": "a ) 42 , b ) 36 , c ) 64 , d ) 72 , e ) none of these", - "Correct": "a", - "Explanation": "\"? % of 360 = 151.2 or , ? = 151.2 \u00d7 100 / 360 = 42 answer a\"" - }, - { - "Answer": 7.5, - "Options": "a ) 6.5 , b ) 7.5 , c ) 7 , d ) 8 , e ) 2", - "Correct": "b", - "Explanation": "90 % - - - - 12 144 % - - - - ? 90 / 144 * 12 = 7.50 answer : b" - }, - { - "Answer": 80, - "Options": "a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 80 %", - "Correct": "e", - "Explanation": "\"price of a coat in a certain store = $ 500 the price of the coat is to be reduced by $ 400 % change = ( final value - initial value ) * 100 / initial value % reduction = ( reduction in price ) * 100 / initial value i . e . % reduction = ( 400 ) * 100 / 500 = 80 % answer : option e\"" - }, - { - "Answer": 660, - "Options": "a ) 430 , b ) 450 , c ) 550 , d ) 590 , e ) 660", - "Correct": "e", - "Explanation": "\"cost price = 540 / 90 x 100 = 600 to gain 10 % = 600 x 10 / 100 = 60 sp = cp + gain = 600 + 60 = 660 answer : e\"" - }, - { - "Answer": 700, - "Options": "a ) 750 , b ) 700 , c ) 800 , d ) 850 , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : note : majority ( 40 % ) = difference in votes polled to win ( 70 % ) & defeated candidates ( 30 % ) 40 % = 70 % - 30 % 40 % - - - - - > 280 ( 40 * 7 = 280 ) 100 % - - - - - > 700 ( 100 * 7 = 700 ) answer : option b\"" - }, - { - "Answer": 1.0101010101010104, - "Options": "a ) 1.01 % , b ) 25 % , c ) 22 % , d ) 29 % , e ) 45 %", - "Correct": "a", - "Explanation": "\"990 - - - 10 100 - - - ? = > 1.01 % answer : a\"" - }, - { - "Answer": 2.1428571428571423, - "Options": "a ) 1.5 , b ) 1.75 , c ) 2.14 , d ) 2.34 , e ) 2.64", - "Correct": "c", - "Explanation": "\"let the total solution is 150 l with 80 l water 70 l syrup . to make 25 % syrup solution , the result solution must have 112.5 l syrup and 37.5 l syrup . therefore we are taking 32.5 l of syrup from initial solution and replacing with water . using urinary method : 70 l syrup in 150 l solution 32.5 l syrup in 69.6 l solution we started by multiplying 10 now to get to the result we need to divide by 32.5 = > amount of solution to be replaced with water = ( 69.6 / 32.5 ) = 2.14 . correct option : c\"" - }, - { - "Answer": 43, - "Options": "a ) 43 , b ) 36 , c ) 28 , d ) 129 , e ) 11", - "Correct": "a", - "Explanation": "\"number of students absent on a particular day = 14 % of 50 i . e . , 14 / 100 \u00d7 50 = 7 therefore , the number of students present = 50 - 7 = 43 students . answer : a\"" - }, - { - "Answer": 3.1578947368421053, - "Options": "a ) 3.26 , b ) 3.16 , c ) 2.34 , d ) 3.98 , e ) 3.17", - "Correct": "b", - "Explanation": "\"swim in still water at = 5 speed of river = 1.2 us = 5 - 1.2 = 3.8 distance = 12 t = 12 / 3.8 = 3.16 answer : b\"" - }, - { - "Answer": 1800, - "Options": "a ) 20 , b ) 120 , c ) 360 , d ) 1800 , e ) 1820", - "Correct": "d", - "Explanation": "\"let the number x . then , 20 % of x = 300 x = ( 300 * 100 ) / 20 = 1500 120 % of x = ( 120 / 100 * 1500 ) = 1800 . answer : d\"" - }, - { - "Answer": 11.42857142857143, - "Options": "a ) 5.6 % , b ) 11.4 % , c ) 15.6 % , d ) 21.3 % , e ) 18.9 %", - "Correct": "b", - "Explanation": "\"required percentage = ( 10 % of 5 + 15 % of 2 ) / 5 + 2 * 100 = 0.8 / 7 * 100 = 11.4 % answer is b\"" - }, - { - "Answer": 60, - "Options": "a ) 80 % , b ) 50 % , c ) 59 % , d ) 40 % , e ) 60 %", - "Correct": "e", - "Explanation": "\"l . c . m of 15 and 12 = 60 cp of 60 articles = rs . 100 ( 25 * 4 ) sp of 60 articles = rs . 160 ( 32 * 5 ) profit percentage = ( 160 - 100 ) / 100 * 100 = 60 % answer : e\"" - }, - { - "Answer": 20, - "Options": "a ) 20 % , b ) 30 % , c ) 50 % , d ) 35 % , e ) 60 %", - "Correct": "a", - "Explanation": "explanation : - > if capability price of 1 l of milk = rs . 1 and s . price of 1 l of combination = rs . 1 benefits = 20 % capability price of 1 l of combination = [ ( 100 / 100 + 25 ) * 1 ] = rs . 100 / 125 = rs . 4 / 5 - > from the rule of allegation i . capability price of 1 l of water = 0 ii . capability price of 1 l of milk = 1 iii . ( p ) = 4 / 5 iv . d \u2013 m = 1 \u2013 4 / 5 = 1 / 5 v . m \u2013 c = 4 / 5 \u2013 0 = 4 / 5 ratio of milk to water = 4 / 5 : 1 / 5 = 4 : 1 % of water in the combination = ( 1 / 5 x 100 ) % = 20 % answer : a" - }, - { - "Answer": 30.22222222222222, - "Options": "a ) $ 45.10 , b ) $ 30.22 , c ) $ 28.44 , d ) $ 67.54 , e ) $ 65.23", - "Correct": "b", - "Explanation": "\"let x be the price before the first discount . the price after the first discount is x - 25 % x ( price after first discount ) a second discount of 25 % of the discounted price after which the final price is 17 ( x - 25 % x ) - 25 % ( x - 25 % x ) = 17 solve for x x = $ 30.22 correct answer b\"" - }, - { - "Answer": 2.25, - "Options": "a ) 1.44 % , b ) 1.74 % , c ) 1.84 % , d ) 1.97 % , e ) 2.25 %", - "Correct": "e", - "Explanation": "\"sp of each car is rs . 325475 , he gains 15 % on first car and losses 15 % on second car . in this case , there will be loss and percentage of loss is given by = [ ( profit % ) ( loss % ) ] / 100 = ( 15 ) ( 15 ) / 100 % = 1.44 % answer : e\"" - }, - { - "Answer": 44625, - "Options": "a ) 42315 , b ) 42877 , c ) 44625 , d ) 38925 , e ) 22887", - "Correct": "c", - "Explanation": "\"principal = ( 100 * 4016.25 ) / ( 1 * 9 ) = rs . 44625 . answer : c\"" - }, - { - "Answer": 8, - "Options": "a ) 8 , b ) 7 , c ) 5 , d ) 2 , e ) 1", - "Correct": "a", - "Explanation": "\"96 % - - - - 12 144 % - - - - ? 96 / 144 * 12 = 8 answer a\"" - }, - { - "Answer": 31.25, - "Options": "a ) 31.25 % , b ) 30 % , c ) 40 % , d ) 50 % , e ) 45 %", - "Correct": "a", - "Explanation": "work with fraction of brand z in the tank . 1 st step : brand z is 1 2 nd step : brand z is 1 / 4 3 rd step : brand z is ( 1 / 2 ) * ( 1 / 4 ) + 1 / 2 = 5 / 8 4 th step : brand z is ( 1 / 2 ) * ( 5 / 8 ) = 5 / 16 answer ( a )" - }, - { - "Answer": 261800.00000000003, - "Options": "a ) 261800 , b ) 355800 , c ) 356500 , d ) 356800 , e ) 357000", - "Correct": "a", - "Explanation": "\"total number of invalid votes = 15 % of 560000 = 15 / 100 \u00d7 560000 = 8400000 / 100 = 84000 total number of valid votes 560000 \u2013 84000 = 476000 percentage of votes polled in favour of candidate a = 55 % therefore , the number of valid votes polled in favour of candidate a = 55 % of 476000 = 55 / 100 \u00d7 476000 = 26180000 / 100 = 261800 a )\"" - }, - { - "Answer": 14, - "Options": "a ) 14 sec , b ) 10 sec , c ) 12 sec , d ) 8 sec , e ) 9 sec", - "Correct": "a", - "Explanation": "\"time taken to cover the entire length = tot . dist / resultant speed = 196 / ( 12 + 2 ) = 14 sec answer : a\"" - }, - { - "Answer": 1680, - "Options": "a ) 1629 , b ) 1680 , c ) 1677 , d ) 1698 , e ) 1679", - "Correct": "b", - "Explanation": "( x * 8 * 3 ) / 100 = ( ( 2730 - x ) * 3 * 5 ) / 100 24 x / 100 = 40950 / 100 - 15 x / 100 39 x = 40950 = > x = 1050 second sum = 2730 \u00e2 \u20ac \u201c 1050 = 1680 answer : b" - }, - { - "Answer": 125, - "Options": "a ) 180 , b ) 170 , c ) 156 , d ) 150 , e ) 125", - "Correct": "e", - "Explanation": "we are first given that a team won 75 percent of its first 100 games . this means the team won 0.75 x 100 = 75 games out of its first 100 games . we are next given that the team won 50 percent of its remaining games . if we use variable t to represent the total number of games in the season , then we can say t \u2013 100 equals the number of remaining games in the season . thus we can say : 0.5 ( t \u2013 100 ) = number of wins for remaining games 0.5 t \u2013 50 = number of wins for remaining games lastly , we are given that team won 70 percent of all games played in the season . that is , they won 0.7 t games in the entire season . with this we can set up the equation : number of first 100 games won + number of games won for remaining games = total number of games won in the entire season 75 + 0.5 t \u2013 50 = 0.7 t 25 = 0.2 t 250 = 2 t 125 = t answer is e ." - }, - { - "Answer": 200, - "Options": "a ) 190 , b ) 175 , c ) 225 , d ) 200 , e ) 250", - "Correct": "d", - "Explanation": "number of students who speak french are 65 + 25 = 90 of total students , the percentage of students who do not speak french was 55 % - - > percentage of who do is 45 % 90 - - - - - - - 45 % x - - - - - - - 100 % x = 90 * 100 / 45 = 200 = number of all students answer is d" - }, - { - "Answer": 8625, - "Options": "a ) 7500 , b ) 6500 , c ) 8625 , d ) 9500 , e ) none of them", - "Correct": "c", - "Explanation": "p = rs . 69000 , r = 50 / 3 % p . a and t = 9 / 12 years = 3 / 4 years . simple interest = ( p * r * t ) / 100 = rs . ( 69,000 * ( 50 / 3 ) * ( 3 / 4 ) * ( 1 / 100 ) ) = rs . 8625 answer is c ." - }, - { - "Answer": 43.75, - "Options": "a ) 40 % , b ) 41 % , c ) 43.75 % , d ) 42 % , e ) 44 %", - "Correct": "c", - "Explanation": "\"work with fraction of brand z in the tank . 1 st step : brand z is 1 2 nd step : brand z is 1 / 2 3 rd step : brand z is ( 3 / 4 ) * ( 1 / 2 ) + 1 / 2 = 7 / 8 4 th step : brand z is ( 1 / 2 ) * ( 7 / 8 ) = 7 / 16 = 43.75 % answer ( c )\"" - }, - { - "Answer": 710, - "Options": "a ) 670 , b ) 664 , c ) 698 , d ) 744 , e ) 710", - "Correct": "e", - "Explanation": "\"since both peter and david invested the same amount of money at the same rate , they would earn same interest per year . david invested for one year more than peter and hence he got interest amount for one more year . interest earned per year = amount received by david - amount received by peter = 850 - 815 = 35 interest earned for 3 years = 35 * 3 = 105 amount invested = 815 - 105 = 710 answer : e\"" - }, - { - "Answer": 960, - "Options": "a ) rs . 660 , b ) rs . 760 , c ) rs . 860 , d ) rs . 960 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : here always remember , when ever x % loss , it means s . p . = ( 100 - x ) % of c . p when ever x % profit , it means s . p . = ( 100 + x ) % of c . p so here will be ( 100 - x ) % of c . p . = 80 % of 1200 = 80 / 100 * 1200 = 960 option d\"" - }, - { - "Answer": 75, - "Options": "a ) 65 % , b ) 75 % , c ) 85 % , d ) 95 % , e ) 88 %", - "Correct": "b", - "Explanation": "already average of two subjects is ( 70 + 80 ) / 2 = 75 % to maintain the percentage at 75 % , he shouls get 75 % marks in third subject answer : b" - }, - { - "Answer": 1000, - "Options": "a ) $ 900 , b ) $ 1000 , c ) $ 1200 , d ) $ 1150 , e ) $ 1500", - "Correct": "b", - "Explanation": "\"2 children got = 2 * 10 % = 20 % wife got = 20 % orphan house = 10 % total = 20 + 20 + 10 = 50 % remaining = 100 - 50 = 50 % 50 % = 500 100 % = 500 * 100 / 50 = $ 1000 answer is b\"" - }, - { - "Answer": 51.25, - "Options": "a ) rs . 51.25 , b ) rs . 51.27 , c ) rs . 51.79 , d ) rs . 51.8 , e ) rs . 51.93", - "Correct": "a", - "Explanation": "\"sum = ( 50 * 100 ) / ( 2 * 5 ) = rs . 500 amount = [ 500 * ( 1 + 5 / 100 ) 2 ] = rs . 551.25 c . i . = ( 551.25 - 500 ) = rs . 51.25 . answer : a\"" - }, - { - "Answer": 30, - "Options": "a ) 24 % , b ) 25 % , c ) 26 % , d ) 28 % , e ) 30 %", - "Correct": "e", - "Explanation": "\"if the total quantity was 100 then 40 x 30 % + 60 x 30 % = 30 this profit will remain same for any total quantity unless the % of products remains the same . hence ' e ' is the answer\"" - }, - { - "Answer": 43, - "Options": "a ) 35 % , b ) 43 % , c ) 55 % , d ) 65 % , e ) 75 %", - "Correct": "b", - "Explanation": "\"setting up a matrix is how i solve this one . diploma no diploma totals job of choice w / diploma job of choice w / o diploma = 12 % job of choice total = 40 % not job of choice with diploma = . 25 x not job of choice w / o diploma = . 75 x total not job of choice = x total with diploma total without diploma total citizen = 100 if 40 % of people have their job of choice , then 60 % of people do not have their job of choice . 25 % of 60 % = 15 % . we can also see that 28 % of the people have their job of choice and a diploma ( 40 % - 12 % = 28 % ) . 28 % + 15 % = 43 % . therefore 43 % of the people in country z have a diploma . ans b\"" - }, - { - "Answer": 0.8038461538461539, - "Options": "a ) 221 / 250 , b ) 199 / 250 , c ) 33 / 50 , d ) 8 / 25 , e ) 51 / 250", - "Correct": "b", - "Explanation": "\"to solve this we would need to know the number of people who are less than 70 years old , the number of males , and the number of males who are less than 70 years old . overlapping sets : quantity of a or b = a + b - ( a \u2229 b ) = quantity of a + quantity of b - ( intersection of a and b ) number of males = 2500 - 850 = 1650 number of people below 70 years old = 2500 - 800 = 1700 number of males below 70 years old = 1700 - ( 850 * 0.4 ) = 1360 total number of people who are male or below 70 = 1650 + 1700 - 1360 = 1990 probability of male or below 70 = 1990 / 2500 = 199 / 250 answer : b\"" - }, - { - "Answer": 30, - "Options": "a ) 27 % , b ) 20 % , c ) 80 % , d ) 30 % , e ) 24 %", - "Correct": "d", - "Explanation": "\"900 - - - - 270 100 - - - - ? = > 30 % answer : d\"" - }, - { - "Answer": 0.2, - "Options": "a ) 0.125 % , b ) 0.2 % , c ) 0.8 % , d ) 1.25 % , e ) 2.0 %", - "Correct": "b", - "Explanation": "\"percent of defective produced = 5 % percent of the defective units that are shipped for sale = 4 % percent of units produced are defective units that are shipped for sale = ( 4 / 100 ) * ( 5 / 100 ) * 100 % = ( 20 / 10000 ) * 100 % = ( 20 / 100 ) % = . 2 % answer b\"" - }, - { - "Answer": 5040, - "Options": "a ) $ 3500 , b ) $ 5040 , c ) $ 3150 , d ) $ 7000 , e ) $ 10000", - "Correct": "b", - "Explanation": "\"saving = ( 46 - 32 ) % of 36000 = 5040 . answer : b\"" - }, - { - "Answer": 12, - "Options": "a ) 16 , b ) 21 , c ) 18 , d ) 12 number , e ) 18", - "Correct": "d", - "Explanation": "explanation : 33 1 / 3 % = 1 / 3 1 / 3 * 36 = 12 answer : option d" - }, - { - "Answer": 9.433962264150944, - "Options": "a ) 5.45 % , b ) 6.23 % , c ) 7 % , d ) 9.43 % , e ) 10 %", - "Correct": "d", - "Explanation": "c . p . = 4700 + 600 = $ 5300 s . p . = $ 5800 gain = 5800 - 5300 = $ 500 gain % = 500 / 5300 * 100 = 9.43 % answer is d" - }, - { - "Answer": 560, - "Options": "a ) 600 , b ) 277 , c ) 560 , d ) 261 , e ) 281", - "Correct": "c", - "Explanation": "\"cost price = rs . 400 profit = 40 % of 400 = rs . 160 selling price = cost price + profit = 400 + 160 = 560 answer : c\"" - }, - { - "Answer": 137.5, - "Options": "a ) rs . 72 , b ) rs . 137.50 , c ) rs . 112.50 , d ) rs . 116.50 , e ) none of these", - "Correct": "b", - "Explanation": "\"solution to obtain rs . 8 , investment = rs . 100 . to obtain rs . 11 , investment = rs . ( 100 / 8 x 11 ) = rs . 137.50 \u2234 market value of rs . 100 stock = rs . 137.50 answer b\"" - }, - { - "Answer": 20, - "Options": "a ) 2 , b ) 20 , c ) 92 , d ) 96 , e ) 98", - "Correct": "b", - "Explanation": "\"out of 100 pounds 99 % or 99 pounds is water and 1 pound is non - water . after somewaterevaporates the cucumbers become 95 % water and 5 % of non - water , so now 1 pound of non - water composes 5 % of cucucmbers , which means that the new weight of cucumbers is 1 / 0.05 = 20 pounds . answer : b .\"" - }, - { - "Answer": 22.72, - "Options": "a ) $ 19.54 , b ) $ 2076 , c ) $ 21.36 , d ) $ 22.72 , e ) $ 23.58", - "Correct": "d", - "Explanation": "\"the total cost was $ 40 . the tax was $ 1.28 let the original price of the taxable items = x given that tax rate = 8 % 0.08 x = 1.28 x = $ 16 the cost of the tax free items was $ 40 - $ 16 - $ 1.28 = $ 22.72 the answer is d .\"" - }, - { - "Answer": 50, - "Options": "a ) 25 % , b ) 30 % , c ) 50 % , d ) 20 % , e ) 10 %", - "Correct": "c", - "Explanation": "\"s . p . = $ 225 gain = $ 75 c . p . = 225 - 75 = 150 gain % = 75 / 150 * 100 = 50 % answer is c\"" - }, - { - "Answer": 7.951070336391437, - "Options": "a ) 15 % , b ) 14.25 % , c ) 7.95 % , d ) 10.5 % , e ) 11.5 %", - "Correct": "c", - "Explanation": "\"explanation : the difference between compound interest and simple interest on rs . p for 2 years at r % per annum = ( r \u00e3 \u2014 si ) / ( 2 \u00e3 \u2014 100 ) difference between the compound interest and simple interest = 340 - 327 = 13 ( r \u00e3 \u2014 si ) / ( 2 \u00e3 \u2014 100 ) = 13 ( r \u00e3 \u2014 327 ) / ( 2 \u00e3 \u2014 100 ) = 13 r = 7.95 % answer : option c\"" - }, - { - "Answer": 8, - "Options": "a ) 8 , b ) 10 , c ) 9 , d ) 12 , e ) 11", - "Correct": "a", - "Explanation": "\"explanation : clue : firstly we need to calculate the si with prinical 200 , time 2 years and rate 10 % , it will be rs . 40 then we can get the time as time = ( 100 * 40 ) / ( 100 * 5 ) = 8 option a\"" - }, - { - "Answer": 47, - "Options": "a ) rs . 40 , b ) rs . 50 , c ) rs . 49 , d ) rs . 59 , e ) rs . 47", - "Correct": "e", - "Explanation": "\"s . p 1 - c . p = c . p \u2013 s . p 2 54 - c . p = c . p - 40 2 c . p = 54 + 40 ; c . p = 94 / 2 = 47 answer : e\"" - }, - { - "Answer": 0.4, - "Options": "a ) 0.2 % , b ) 0.4 % , c ) 0.8 % , d ) 1.2 % , e ) 2.0 %", - "Correct": "b", - "Explanation": "\"0.08 * 0.05 = 0.004 = 0.4 % the answer is b .\"" - }, - { - "Answer": 600, - "Options": "a ) 420 , b ) 480 , c ) 540 , d ) 600 , e ) 660", - "Correct": "d", - "Explanation": "\"let x be the number of female police officers on the police force . the number of female police officers on duty was 102 . 0.17 x = 102 x = 600 the answer is d .\"" - }, - { - "Answer": 288.0000000000004, - "Options": "a ) 160 , b ) 220 , c ) 288 , d ) 360 , e ) 420", - "Correct": "c", - "Explanation": "\"let ' s xx be total quantity of employees 0.6 x = females before adding men 0.55 ( x + 24 ) = females after adding men as quantity of women does n ' t change we can make an equation : 0.6 x = 0.55 ( x + 24 ) 0.05 x = 13.2 x = 264 - this is quantity of employees before adding 24 men so after adding it will be 288 answer is c\"" - }, - { - "Answer": 50, - "Options": "a ) 277 , b ) 36 , c ) 50 , d ) 72 , e ) none of these", - "Correct": "c", - "Explanation": "\"? % of 360 = 180 or , ? = 180 \u00d7 100 / 360 = 50 answer c\"" - }, - { - "Answer": 8820, - "Options": "a ) 8840 , b ) 2776 , c ) 2998 , d ) 2662 , e ) 8820", - "Correct": "e", - "Explanation": "\"amount = [ 8000 * ( 1 + 5 / 100 ) 2 ] = 8000 * 21 / 20 * 21 / 20 = rs . 8820 answer : e\"" - }, - { - "Answer": 648, - "Options": "a ) 670 , b ) 689 , c ) 648 , d ) 740 , e ) 889", - "Correct": "c", - "Explanation": "\"c 648 cost price = $ 600 profit = 8 % of 600 = $ 48 selling price = cost price + profit = 600 + 48 = 648\"" - }, - { - "Answer": 4.521739130434784, - "Options": "a ) 4.52 % . , b ) 7.5 % . , c ) 9.2 % . , d ) 10.5 % . , e ) 11 % .", - "Correct": "a", - "Explanation": "\"denominator : 440 + 10 + 3.2 + 6.8 = 460 numerator : 440 ( 1 - . 88 - . 08 ) + 3.2 440 ( 0.04 ) + 3.2 17.6 + 3.2 20.8 ratio : 20.8 / 460 = 0.045 answer : a\"" - }, - { - "Answer": 200, - "Options": "a ) 200 , b ) 250 , c ) 210 , d ) 190 , e ) 180", - "Correct": "a", - "Explanation": "gain in 6 years = [ ( 20000 \u00e3 \u2014 9 \u00e3 \u2014 6 / 100 ) \u00e2 \u02c6 \u2019 ( 20000 \u00e3 \u2014 6 \u00e3 \u2014 8 / 100 ) ] = ( 10800 \u00e2 \u20ac \u201c 9600 ) = 1200 \u00e2 \u02c6 \u00b4 gain in 6 year = ( 1200 / 6 ) = 200 answer a" - }, - { - "Answer": 30, - "Options": "a ) 10 % , b ) 20 % , c ) 30 % , d ) 35 % , e ) 45 %", - "Correct": "c", - "Explanation": "\"explanation : change in the price = rs 390 \u2013 rs 300 = rs 90 percentage of increase = change in the price initial price * 100 . percentage increase in price = ( 90 / 300 ) * 100 = 30 % c\"" - }, - { - "Answer": 40.00000000000001, - "Options": "a ) 20 , b ) 30 , c ) 35 , d ) 40 , e ) 55", - "Correct": "d", - "Explanation": "\"there are 8 books less ( 75 - 68 ) which represents 20 % of the loaned books ( 100 - 80 ) so total loaned out books = 40 answer d\"" - }, - { - "Answer": 54, - "Options": "a ) 54 , b ) 63 , c ) 70 , d ) 42 , e ) 31", - "Correct": "a", - "Explanation": "\"44 + 28 + 10 = 82 % 100 \u2013 82 = 18 % 300 * 18 / 100 = 54 answer : a\"" - }, - { - "Answer": 4000.0000000000005, - "Options": "a ) 2277 , b ) 2999 , c ) 4000 , d ) 2651 , e ) 1971", - "Correct": "c", - "Explanation": "\"x * ( 110 / 100 ) * ( 95 / 100 ) = 4180 x * ( 11 / 10 ) * ( 1 / 100 ) = 44 x = 4000 answer : c\"" - }, - { - "Answer": 9999.9980000004, - "Options": "a ) 10000 , b ) 15200 , c ) 11005 , d ) 12540 , e ) 12450", - "Correct": "a", - "Explanation": "\"suppose originally he had x apples then ( 100 - 50 ) % of x = 5000 50 x / 100 = 5000 x = 10000 answer is a\"" - }, - { - "Answer": 166.66666666666669, - "Options": "a ) rs . 83.33 , b ) rs . 167 , c ) rs . 112 , d ) rs . 120 , e ) rs . 140", - "Correct": "b", - "Explanation": "\"income of rs 12 on investment of rs 100 income of rs 20 on investment of ? = ( 20 * 100 ) / 12 = 167 answer : b\"" - }, - { - "Answer": 35, - "Options": "a ) 12 , b ) 27 , c ) 29 , d ) 35 , e ) 21", - "Correct": "d", - "Explanation": "sp per metre = 18000 / 600 = rs . 40 loss per metre = rs . 5 cp per metre = 40 + 5 = rs . 45 . answer : d" - }, - { - "Answer": 56.666666666666664, - "Options": "a ) 56.7 % , b ) 55 % , c ) 57 % , d ) 60 % , e ) 62 %", - "Correct": "a", - "Explanation": "\"total number of votes polled = ( 1256 + 7636 + 11628 ) = 20520 so , required percentage = 11628 / 20520 * 100 = 56.7 % a\"" - }, - { - "Answer": 248.14814814814815, - "Options": "a ) 324.11 , b ) 300.12 , c ) 248.14 , d ) none of these , e ) can not be determined", - "Correct": "c", - "Explanation": "\"answer let one - third of 1206 is n % of 162 . \u2235 1206 / 3 = ( n x 162 ) / 100 \u2234 n = ( 402 x 100 ) / 162 = 248.14 correct option : c\"" - }, - { - "Answer": 20, - "Options": "a ) 10.5 % , b ) 12.5 % , c ) 15 % , d ) 22 % , e ) 20 %", - "Correct": "e", - "Explanation": "0.1 m = 0.50 e = > e / m = 1 / 5 * 100 = 20 % so answer is e . m - # of motorists e - # of motorists exceeding speed" - }, - { - "Answer": 27.999999999999993, - "Options": "a ) 28 % , b ) 30 % , c ) 32 % , d ) 38 % , e ) 40 %", - "Correct": "a", - "Explanation": "\"let original length = x and original breadth = y . decrease in area = xy - 80 x x 90 y 100 100 = xy - 18 xy 25 = 7 xy . 25 decrease % = 7 xy x 1 x 100 % = 28 % . 25 xy a )\"" - }, - { - "Answer": 3.125, - "Options": "a ) 4 % , b ) 3.125 % , c ) 5 % , d ) 6 % , e ) 7 %", - "Correct": "b", - "Explanation": "\"interest for 1 year = 200 / 4 = 50 interest on rs 1600 p / a = 50 interest rate = 50 / 1600 * 100 = 3.125 % answer : b\"" - }, - { - "Answer": 10, - "Options": "a ) 14 % , b ) 7 % , c ) 10 % , d ) 15 % , e ) 3 %", - "Correct": "c", - "Explanation": "\"explanation : let the principal ( p ) be x then , simple interest ( si ) = x / 5 time ( t ) = 2 years rate of interest per annum ( r ) = ( 100 \u00d7 si ) / pt = ( 100 \u00d7 ( x / 5 ) / ( x \u00d7 2 ) = 20 / 2 = 10 % answer : option c\"" - }, - { - "Answer": 38.88888888888889, - "Options": "a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 38.9 %", - "Correct": "e", - "Explanation": "\"let the original salary be $ 100 new salary = $ 72 increase on 72 = 28 increase on 100 = [ ( 28 / 72 ) 100 ] % = 38.9 % answer is e\"" - }, - { - "Answer": 46, - "Options": "a ) 28 % , b ) 30 % , c ) 32 % , d ) 46 % , e ) 72 %", - "Correct": "d", - "Explanation": "\"consider the initial value of the baseball card as $ 100 after first year price = 100 * 0.6 = 60 after second year price = 60 * 0.9 = 54 final decrease = [ ( 100 - 54 ) / 100 ] * 100 = 46 % correct answer - d\"" - }, - { - "Answer": 283.5, - "Options": "a ) 280 , b ) 295 , c ) 283.5 , d ) 245 , e ) 200", - "Correct": "c", - "Explanation": "\"( 3150 * 4.5 * 2 ) / 100 = > 283.5 answer : c\"" - }, - { - "Answer": 456, - "Options": "a ) 456 , b ) 480 , c ) 420 , d ) 445 , e ) 320", - "Correct": "a", - "Explanation": "\"( 50 / 100 ) * x \u2013 ( 40 / 100 ) * 120 = 180 1 / 2 x = 228 x = 456 answer : a\"" - }, - { - "Answer": 25000, - "Options": "a ) 22000 , b ) 20000 , c ) 25000 , d ) 22235 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : 20 % of income = rs . 5000 100 % of income = 5000 x 100 / 20 = rs . 25000 answer : c\"" - }, - { - "Answer": 5, - "Options": "a ) 6.25 , b ) 5.5 , c ) 7.4 , d ) 5 , e ) 6", - "Correct": "d", - "Explanation": "\"explanation : runs scored in the first 10 overs = 10 \u00d7 3.2 = 32 total runs = 282 remaining runs to be scored = 282 - 32 = 250 remaining overs = 50 run rate needed = 250 / 50 = 5 answer : option d\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 16 % , b ) 35 % , c ) 33 % , d ) 18 % , e ) 12 %", - "Correct": "c", - "Explanation": "\"1200 - - - - 400 100 - - - - ? = > 33 % answer : c\"" - }, - { - "Answer": 12.500000000000004, - "Options": "a ) 15 % , b ) 20 % , c ) 12.5 % , d ) 50 % , e ) 150 %", - "Correct": "c", - "Explanation": "\"let rate in r = 100 x then p = 80 x g = 100 y p = 90 y thus 80 x = 90 y or x = 1.125 y ans r = 112.5 y so increase = 12.5 % answer : c\"" - }, - { - "Answer": 30, - "Options": "a ) 20 , b ) 40 , c ) 36 , d ) 30 , e ) 35", - "Correct": "d", - "Explanation": "\"600 * ( 20 / 100 ) = 120 - - - - 4 ? - - - - 1 = > rs . 30 answer : d\"" - }, - { - "Answer": 260, - "Options": "a ) rs . 960 , b ) rs . 840 , c ) rs . 1020 , d ) rs . 760 , e ) rs . 260", - "Correct": "e", - "Explanation": "\"solution t . d = ( b . g x 100 / r x t ) = rs . ( 60 x 100 / 10 x 3 ) = rs . 200 . b . d = rs ( 200 + 60 ) = rs . 260 . answer e\"" - }, - { - "Answer": 17, - "Options": "a ) 17 % , b ) 25 % , c ) 69 % , d ) 31 % , e ) 19 %", - "Correct": "a", - "Explanation": "\"let the price be 100 . the price becomes 130 after a 30 % markup . now a discount of 10 % on 130 . profit = 117 - 100 17 % answer a\"" - }, - { - "Answer": 44.000000000000114, - "Options": "a ) $ 5 , b ) $ 15 , c ) $ 44 , d ) $ 100 , e ) $ 105", - "Correct": "c", - "Explanation": "compounded annually means that the interest is applied once per year . one can have 10 % annual interest compounded monthly - in this case 10 % / 12 would be applied each month , or 10 % annual interest compounded daily etc . with respect to the problem at hand , at the end of two years , tim would have 600 ( 1.10 ) ^ 2 = 600 ( 1.21 ) = 726 and lana would have 800 ( 1.05 ) ^ 2 = 800 ( 1.1025 ) = 882 thus , tim earned 126 dollars , while lana earned 82 dollars the difference is $ 44 and the answer is c ." - }, - { - "Answer": 122.47448713915891, - "Options": "a ) 122 , b ) 150 , c ) 225 , d ) 250 , e ) 500", - "Correct": "a", - "Explanation": "\"90 = x / 100 * 60 / 100 * x = > x ^ 2 = 9 * 10000 / 6 = > x = 122 a\"" - }, - { - "Answer": 850, - "Options": "a ) 843 , b ) 1023 , c ) 965 , d ) 413 , e ) 1245", - "Correct": "a", - "Explanation": "\"winner votes = 100 - 20 = 80 polled votes = [ ( 100 * 500 ) / 2 * 80 - 100 ] + 10 = 843 ( approximately ) answer is a\"" - }, - { - "Answer": 12, - "Options": "a ) 6 , b ) 12 , c ) 18 , d ) 15 , e ) 20", - "Correct": "b", - "Explanation": "\"let man ' s rate upsteam be x kmph then his rate of downstream = 3 x kmph rate still water = 1 / 2 ( 3 x + x ) = 2 x 2 x = 24 x = 12 rate of upstream = 12 rate of downstream = 36 rate of stream 1 / 2 ( 36 - 12 ) = 12 kmph answer is b .\"" - }, - { - "Answer": 4128, - "Options": "a ) 3200 , b ) 4000 , c ) 3250 , d ) 4128 , e ) 3985", - "Correct": "d", - "Explanation": "\"ratio of investment , as investments is for different time . investment x number of units of time . ratio of investments x : y : z = 36000 : 42000 : 48000 = > 6 : 7 : 8 . x = 6 x 12 months = 72 , y = 7 x 12 = 84 , z = 8 x 8 = 64 = > 18 : 21 : 16 . ratio of investments = > x : y : z = 18 : 21 : 16 . investment ratio = profit sharing ratio . z = 14190 \u00e3 \u2014 16 / 55 = rs . 4128 . share of z in the profit is rs . 4128 . option d\"" - }, - { - "Answer": 75, - "Options": "a ) 33.3 % , b ) 40 % , c ) 50 % , d ) 60 % , e ) 75 %", - "Correct": "e", - "Explanation": "\"0.30 p = rt + c 0.6 ( rt ) = no c = > 0.40 ( rt ) had c 0.30 p = 0.40 ( rt ) rt / p = 3 / 4 = 75 % answer - e\"" - }, - { - "Answer": 6, - "Options": "a ) 5 % , b ) 6 % , c ) 7 % , d ) 8 % , e ) 10 %", - "Correct": "b", - "Explanation": "\"let the rate be r % p . a . 1200 * ( 1 + r / 100 ) ^ 2 = 1348.32 ( 1 + r / 100 ) ^ 2 = 134832 / 120000 = 11236 / 10000 ( 1 + r / 100 ) ^ 2 = ( 106 / 100 ) ^ 2 1 + r / 100 = 106 / 100 r = 6 % answer is b\"" - }, - { - "Answer": 2400, - "Options": "a ) 1500 , b ) 2500 , c ) 2507 , d ) 3200 , e ) 2400", - "Correct": "e", - "Explanation": "\"p - 1920 = ( p * 5 * 4 ) / 100 p = 2400 answer : e\"" - }, - { - "Answer": 85, - "Options": "a ) 160 , b ) 92 , c ) 88 , d ) 85 , e ) 34", - "Correct": "d", - "Explanation": "\"( 40 / 100 ) * x \u00e2 \u20ac \u201c 11 = 23 4 x = 340 x = 85 answer : d\"" - }, - { - "Answer": 781.2499999999999, - "Options": "a ) rs . 150.50 , b ) rs . 154.75 , c ) rs . 781.25 , d ) rs . 158 , e ) none", - "Correct": "c", - "Explanation": "\"solution present worth = rs . [ 845 / ( 1 + 4 / 100 ) \u00b2 ] = rs . ( 845 x 25 / 26 x 25 / 26 ) = rs . 781.25 answer c\"" - }, - { - "Answer": 496, - "Options": "a ) $ 496.00 , b ) $ 512.40 , c ) $ 555.40 , d ) $ 574.90 , e ) $ 588.20", - "Correct": "a", - "Explanation": "\"620 = 1.25 * x x = 620 / 1.25 = 496.00 which rounds to $ 496.00 , which is ( a ) .\"" - }, - { - "Answer": 200, - "Options": "a ) 350 rs , b ) 450 rs , c ) 200 rs , d ) 30 rs , e ) 448 rs", - "Correct": "c", - "Explanation": "for 1 rs , 4 p interest for 5000 rs , x x = 5000 / 1 * 4 p = = > 20000 paise to express in rs , 20000 / 100 = 200 rs answer : c" - }, - { - "Answer": 1200, - "Options": "a ) rs . 1200 , b ) rs . 1300 , c ) rs . 1400 , d ) rs . 1500 , e ) none of these", - "Correct": "a", - "Explanation": "\"explanation : at 5 % more rate , the increase in s . i for 10 years = rs . 600 ( given ) so , at 5 % more rate , the increase in si for 1 year = 600 / 10 = rs . 60 / - i . e . rs . 60 is 5 % of the invested sum so , 1 % of the invested sum = 60 / 5 therefore , the invested sum = 60 \u00d7 100 / 5 = rs . 1200 answer : a\"" - }, - { - "Answer": 20, - "Options": "a ) 20 % , b ) 40 % , c ) 50 % , d ) 60 % , e ) 70 %", - "Correct": "a", - "Explanation": "\"here , selling price of 10 m cloth is obtained as profit . profit of 10 m cloth = ( s . p . of 60 m cloth ) \u2013 ( c . p . of 60 m cloth ) selling price of 50 m cloth = selling price of 60 m of cloth let cost of each metre be rs . 100 . therefore , cost price of 50 m cloth = rs . 5000 and s . p . of 50 m cloth = rs . rs . 6000 profit % = 10 / 50 \u00d7 100 = 20 % 20 profit of 20 % was made by the merchant . a\"" - }, - { - "Answer": 7372.462499999999, - "Options": "a ) s . 8829 , b ) s . 7200 , c ) s . 7200.5 , d ) s . 4000 , e ) s . 7372.46", - "Correct": "e", - "Explanation": "amount = [ 6500 * ( 1 + 6.5 / 100 ) 2 ] = 6500 * 106.5 / 100 * 106.5 / 100 = rs . 7372.46 answer : e" - }, - { - "Answer": 660, - "Options": "a ) 600 , b ) 620 , c ) 660 , d ) 320 , e ) 400", - "Correct": "c", - "Explanation": "\"mary receives $ 8 ( 20 ) = $ 160 for the first 20 hours . for the 50 overtime hours , she receives $ 8 ( 0.25 ) + $ 8 = $ 10 per hour , that is $ 50 ( 20 ) = $ 500 . the total amount is $ 160 + $ 500 = $ 660 answer c 660 .\"" - }, - { - "Answer": 63.00000000000001, - "Options": "a ) 55 , b ) 84 , c ) 63 , d ) 75 , e ) 70", - "Correct": "c", - "Explanation": "\"let c = chair ; t = table 2 c + 1 t = 0.6 ( 1 c + 2 t ) or c ( 2 - 0.6 ) = 1.2 t - 1 t or 1.4 c = 0.2 t therefore c = 0.2 / 1.4 t = 1 / 7 t ic + 1 t = 72 or 1 / 7 t + 1 t = 60 therefore t = 72 * 7 / 8 = 63 c\"" - }, - { - "Answer": 2.5, - "Options": "a ) 2.8 liters . , b ) 2.5 liters . , c ) 8.5 liters . , d ) 2.6 liters . , e ) 2.1 liters .", - "Correct": "b", - "Explanation": "\"answer : explanation : in each of the solutions , there is a pure tomato component and some water . so while boiling , water evaporates but tomato not . so we equate tomato part in the both equations . \u21d2 \u21d2 10 % ( 20 ) = 80 % ( x ) \u21d2 \u21d2 x = 2.5 liters . answer : b\"" - }, - { - "Answer": 6.25, - "Options": "a ) 6.25 , b ) 6.5 , c ) 6.75 , d ) 7.0 , e ) none of the above", - "Correct": "a", - "Explanation": "\"total runs in the first 10 overs = 10 \u00d7 3.2 = 32 run rate required in the remaining 40 overs = 282 \u2212 32 / 40 = 250 / 40 = 6.25 runs per over . answer a\"" - }, - { - "Answer": 3000, - "Options": "a ) 1500 , b ) 2500 , c ) 2507 , d ) 3000 , e ) 11500", - "Correct": "d", - "Explanation": "\"p - 2400 = ( p * 5 * 4 ) / 100 p = 3000 answer : d\"" - }, - { - "Answer": 82.43216000000007, - "Options": "a ) $ 645.56 , b ) $ 82.43 , c ) $ 954.26 , d ) $ 745.69 , e ) $ 1020.45", - "Correct": "b", - "Explanation": "\"principle = $ 10000 rate = 2 % half yearly = 4 half years amount = 1000 * ( 1 + 2 / 100 ) ^ 4 = 1000 * 51 / 50 * 51 / 50 * 51 / 50 * 51 / 50 = $ 1082.43 c . i . = 1082.43 - 1000 = $ 82.43 answer is b\"" - }, - { - "Answer": 1558, - "Options": "a ) s . 1590 , b ) s . 1560 , c ) s . 1558 , d ) s . 1252 , e ) s . 1062", - "Correct": "c", - "Explanation": "\"s . p . = 82 % of rs . 1900 = rs . 82 x 1900 / 100 = rs . 1558 answer : option c\"" - }, - { - "Answer": 56, - "Options": "a ) 72 % , b ) 42 % , c ) 56 % , d ) 12 % , e ) 22 %", - "Correct": "c", - "Explanation": "\"explanation : suppose he has 100 items . let c . p . of each item be re . 1 . total cost = rs . 100 . number of items left after theft = 40 . s . p . of each item = rs . 1.10 total sale = 1.10 * 40 = rs . 44 hence , loss % = 56 / 100 * 100 = 56 % answer : c\"" - }, - { - "Answer": 48, - "Options": "a ) 41 , b ) 48 , c ) 49 , d ) 44 , e ) 43", - "Correct": "b", - "Explanation": "\"96 % - - - - 72 144 % - - - - ? 96 / 144 * 72 = 48 answer : b\"" - }, - { - "Answer": 0.2553191489361702, - "Options": "a ) 4 / 25 , b ) 12 / 47 , c ) 2 / 5 , d ) 8 / 15 , e ) 2 / 3", - "Correct": "b", - "Explanation": "let there be 100 books in all historic fiction books = 30 % of total = 30 other books = 70 new historic fiction = 40 % of 30 = 12 other new books = 50 % of 70 = 35 total new books = 35 + 12 = 47 fraction = 12 / 47 ans : b" - }, - { - "Answer": 84.75, - "Options": "a ) 83 % , b ) 84 % , c ) 85 % , d ) 86 % , e ) 87 %", - "Correct": "c", - "Explanation": "\"this question is a weighted average question with a series of dependent variables . the remaining portion of the class represents 100 % - 45 % - 50 % = 5 % of the class converting the portions of the class population to decimal weights , we find : class average = 0.45 x 95 + 0.50 x 78 + 0.05 x 60 = 84.75 the class average ( rounded ) is 85 % final answer c ) 85 %\"" - }, - { - "Answer": 1440, - "Options": "a ) 648 , b ) 1800 , c ) 2700 , d ) 1440 , e ) none of these", - "Correct": "d", - "Explanation": "\"solution let the required number of bottles be x . more machines , more bottles ( direct proportion ) more minutes , more bottles ( direct proportion ) \u00e2 \u02c6 \u00b4 6 \u00e3 \u2014 1 \u00e3 \u2014 x = 8 \u00e3 \u2014 4 \u00e3 \u2014 270 \u00e2 \u2021 \u201d x = 8 x 4 x 270 / 6 = 1440 . answer d\"" - }, - { - "Answer": 8, - "Options": "a ) 6 % , b ) 7 % , c ) 8 % , d ) 9 % , e ) 10 %", - "Correct": "c", - "Explanation": "\"in 5 years , the value grew $ 100 , so the simple interest was $ 20 per year . in 3 years , the total interest was 3 * $ 20 = $ 60 the principal is $ 310 - $ 60 = 250 . the interest rate is $ 20 / $ 250 = 8 % the answer is c .\"" - }, - { - "Answer": 1125, - "Options": "a ) 1125 , b ) 2400 , c ) 7200 , d ) 2500 , e ) 2511", - "Correct": "a", - "Explanation": "\"explanation : 2400 : 7200 : 9600 1 : 3 : 4 1 / 8 * 9000 = 1125 answer : a\"" - }, - { - "Answer": 40.000000000000036, - "Options": "a ) 24 , b ) 34.8 , c ) 37.8 , d ) 40 , e ) 84", - "Correct": "d", - "Explanation": "\"the difference between the amounts john paid and jane paid is the deference between 15 % of p and 15 % of 0.9 p : 0.15 p - 0.15 * 0.9 p = 0.60 - - > 15 p - 13.5 p = 60 - - > p = 40 . answer : d .\"" - }, - { - "Answer": 200, - "Options": "a ) 120 , b ) 150 , c ) 180 , d ) 200 , e ) 250", - "Correct": "d", - "Explanation": "\"let b be the number of boys in the school . 120 = xb / 100 b = 0.3 x 12000 = 0.3 x ^ 2 x ^ 2 = 40000 x = 200 the answer is d .\"" - }, - { - "Answer": 50, - "Options": "a ) 20 % , b ) 42 % , c ) 44 % , d ) 50 % , e ) 84 %", - "Correct": "d", - "Explanation": "\"you are correct . people who cover local politics are a subset of people who cover politics . 30 % of reporters who cover politics do not cover local politics so 70 % do cover local politics . reporters covering local politics = 70 % of reporters covering politics = 35 % ofall reporters reporters covering politics / all reporters = 35 / 70 = 1 / 2 reporters not covering politics / all reporters = 1 / 2 = 50 % = d\"" - }, - { - "Answer": 30, - "Options": "a ) 10 % , b ) 15 % , c ) 25 % , d ) 20 % , e ) 30 %", - "Correct": "e", - "Explanation": "\"c . p . = $ 100 s . p . = $ 130 gain = $ 30 gain % = 30 / 100 * 100 = 30 % answer is e\"" - }, - { - "Answer": 35, - "Options": "a ) 25 % , b ) 20 % , c ) 35 % , d ) 40 % , e ) 50 %", - "Correct": "c", - "Explanation": "let the original s . p . be $ x then , new s . p . = $ 2 / 3 x loss = 10 % c . p . = 100 / 90 * 2 / 3 x = 20 x / 27 c . p . = 20 x / 27 gain = x - 20 x / 27 = 7 x / 27 gain % = 7 x / 27 * 27 / 20 x * 100 = 35 % answer is c" - }, - { - "Answer": 992, - "Options": "a ) 288 , b ) 744 , c ) 992 , d ) 298 , e ) 177", - "Correct": "c", - "Explanation": "\"w = 62 % l = 38 % 62 % - 38 % = 24 % 24 % - - - - - - - - 384 62 % - - - - - - - - ? = > 992 answer : c\"" - }, - { - "Answer": 12.5, - "Options": "a ) 8 % , b ) 10 % , c ) 11 % , d ) 12.5 % , e ) 20 %", - "Correct": "d", - "Explanation": "\"explanation : marked price = rs . 30 c . p . = 100 / 125 * 30 = rs . 24 sale price = 90 % of rs . 30 = rs . 27 required gain % = 3 / 24 * 100 = 12.5 % . answer : d\"" - }, - { - "Answer": 81, - "Options": "a ) 80.0 , b ) 80.9 , c ) 81.0 , d ) 81.1 , e ) 81.9", - "Correct": "c", - "Explanation": "\"consider price of the all items as $ 100 after a initial reduction of 10 % price becomes = 0.9 * 100 = $ 90 after the final reduction of 10 % price becomes = 0.9 * 90 = $ 81 price of all items on second day is 81 % of price on first day correct answer option c\"" - }, - { - "Answer": 105, - "Options": "a ) 100 , b ) 110 , c ) 105 , d ) 30 , e ) 160", - "Correct": "c", - "Explanation": "\"final number = initial number + 50 % ( original number ) = 70 + 50 % ( 70 ) = 70 + 35 = 105 . answer c\"" - }, - { - "Answer": 0.947265625, - "Options": "a ) 8 / 27 , b ) 2 / 5 , c ) 485 / 512 , d ) 98 / 125 , e ) 625 / 952", - "Correct": "c", - "Explanation": "probability that she guesses the height correctly p ( h ) = 5 / 6 probability that she guesses the weight correctlyp ( w ) = 6 / 8 probability that she guesses both weight and height correctly ( p ( h ) * p ( w ) ) = 5 / 6 * 6 / 8 = 30 / 48 now the q asks about the probability of this happening atleast once . we calculate it by finding the probability of not being able to guess in any of the three occasions . probability of not being able to guess any no . of times = 1 - 30 / 48 = 18 / 48 = 3 / 8 for all three occasions p ( a ) = 3 / 8 * 3 / 8 * 3 / 8 = 27 / 512 probability of the event happening atleast once = 1 - p ( a ) = 1 - 27 / 512 = 485 / 512 ans should be c" - }, - { - "Answer": 2, - "Options": "a ) 0.004 % , b ) 0.04 % , c ) 0.40 % , d ) 2 % , e ) 40 %", - "Correct": "d", - "Explanation": "\"total amount of water evaporated each day during a 50 - day period = . 004 * 50 = . 004 * 100 / 2 = . 4 / 2 = . 2 percent of the original amount of water evaporated during this period = ( . 2 / 10 ) * 100 % = 2 % answer d\"" - }, - { - "Answer": 32, - "Options": "a ) 26 , b ) 28 , c ) 30 , d ) 32 , e ) 34", - "Correct": "d", - "Explanation": "\"let the cost price = y the cost price of 40 articles = 40 y the selling price of x articles = 1.25 y * x 1.25 y * x = 40 y x = 40 / 1.25 = 32 the answer is d .\"" - }, - { - "Answer": 22.5, - "Options": "a ) rs . 20.25 , b ) rs . 22.50 , c ) rs . 25 , d ) rs . 42.75 , e ) none", - "Correct": "b", - "Explanation": "\"solution s . i = rs . 202.50 , r = 4.5 % , t = 1 year principal = rs ( 100 * 202.50 / 4.5 * 1 ) = rs . 4500 now p = rs . 4500 , r = 5 % , t = 1 year s . i = ( 4500 * 5 * 1 / 100 ) = rs . 225 different in interest = rs . ( 225 - 202.50 ) = rs . 22.50 answer b\"" - }, - { - "Answer": 2200, - "Options": "a ) $ 2000 , b ) $ 2200 , c ) $ 3000 , d ) $ 3120 , e ) $ 1540", - "Correct": "b", - "Explanation": "115 % of cost - 110 % of cost = $ 110 5 % of cost = $ 110 cost = 110 * 100 / 5 = $ 2200 answer is b" - }, - { - "Answer": 120, - "Options": "a ) 110 , b ) 115 , c ) 112 , d ) 118 , e ) 120", - "Correct": "e", - "Explanation": "\"let the market price of each pen be $ 1 then , cost price of 80 pens = $ 36 selling price of 80 pens = 99 % of $ 80 = $ 79.20 profit % = ( ( 43.20 * 100 ) / 36 ) % = 120 % answer e ) 120\"" - }, - { - "Answer": 4, - "Options": "a ) 5 % , b ) 3 % , c ) 4 % , d ) 9 % , e ) 1 %", - "Correct": "c", - "Explanation": "\"128 = ( 800 * 4 * r ) / 100 r = 4 % answer : c\"" - }, - { - "Answer": 2.01, - "Options": "a ) 2.01 , b ) 30.1 , c ) 3.01 , d ) 25.01 , e ) 4.05", - "Correct": "a", - "Explanation": "\"explanation : 100 cm is read as 101 cm . a 1 = ( 100 \u00d7 100 ) cm 2 = 10000 and a 2 = ( 101 \u00d7 101 ) cm 2 = 10609 ( a 2 - a 1 ) = 10201 - 10000 = 201 = > 201 / 10000 * 100 = 2.01 answer : a\"" - }, - { - "Answer": 1289.6, - "Options": "a ) 990 , b ) 1215 , c ) 1345 , d ) 1142 , e ) 1290", - "Correct": "e", - "Explanation": "\"p = 1240 r = 4 % required population of town = p * ( 1 + r / 100 ) ^ t = 1240 * ( 1 + 4 / 100 ) = 1240 * ( 26 / 25 ) = 1290 ( approximately ) answer is e\"" - }, - { - "Answer": 25.000000000000007, - "Options": "a ) 20 % , b ) 25 % , c ) 30 % , d ) 35 % , e ) 40 %", - "Correct": "b", - "Explanation": "\"let p be the original price of the goods and let x be the rate after the markup . ( 1.8 p ) * x = 1.35 p x = 1.35 / 1.8 = 0.75 which is a discount of 25 % . the answer is b .\"" - }, - { - "Answer": 62.727272727272734, - "Options": "a ) 62.7 % , b ) 65 % , c ) 88 % , d ) 65 % , e ) 62 %", - "Correct": "a", - "Explanation": "\"3300 - - - - 2070 100 - - - - ? = > 62.7 % answer : a\"" - }, - { - "Answer": 6, - "Options": "a ) 6 % , b ) 7 % , c ) 9 % , d ) 3 % , e ) 1 %", - "Correct": "a", - "Explanation": "\"let sum = x . then , s . i . = 2 x / 5 , time = 10 years . rate = ( 100 * 3 x ) / ( x * 5 * 10 ) = 6 % answer : a\"" - }, - { - "Answer": 2.5, - "Options": "a ) 2 litres , b ) 2.4 litres , c ) 2.5 litres , d ) 6 litres , e ) 4 litres", - "Correct": "c", - "Explanation": "\"tomato juice has 90 % water and 10 % tomato tomato puree has 20 % water and 80 % tomato so 20 liter of tomato juice has 20 * 90 / 100 = 18 liters of water and 2 liters of tomato . as tomato puree has 80 % content of tomato , so 2 liters of tomato from 20 liter juice corresponds to 80 % so tomato purees that can be obtained = 100 * 2 / 80 = 2.5 answer : c\"" - }, - { - "Answer": 16, - "Options": "a ) 15 , b ) 16 , c ) 18 , d ) 25 , e ) 27", - "Correct": "b", - "Explanation": "\"explanation : let the cost price of 1 article be z . so , the cost price of 20 article = 20 z - - - - - - - - - - - - - - - - - - - - - - - - - ( 1 ) selling price of 20 articles = 20 z + 25 % of 20 z = 25 z = > selling price of 1 article = 25 z / 20 = ( 5 / 4 ) * z = > selling price of x articles = ( 5 / 4 ) * z * x - - - - - - - - - - - - - - - - - - - - - - - - - ( 2 ) given that selling price ( s . p . ) of x articles = cost price ( c . p . ) of 20 articles = > ( 5 / 4 ) * z * x = 20 z = > x = 16 answer : b\"" - }, - { - "Answer": 74.21875, - "Options": "a ) 62.5 , b ) 62.3 , c ) 62.7 , d ) 74.2 , e ) 62.9", - "Correct": "d", - "Explanation": "cp = 47.50 sp = 47.50 * ( 125 / 100 ) = 59.375 mp * ( 80 / 100 ) = 59.375 mp = 74.2 answer : d" - }, - { - "Answer": 400, - "Options": "a ) 400 , b ) 500 , c ) 600 , d ) 700 , e ) 800", - "Correct": "a", - "Explanation": "\"let x be the minimum number of questionnaires to be mailed . 0.6 x = 240 x = 400 the answer is a .\"" - }, - { - "Answer": 5202, - "Options": "a ) $ 5050 , b ) $ 5101 , c ) $ 5202 , d ) $ 5303 , e ) $ 5404", - "Correct": "c", - "Explanation": "\"the amount in the account after 6 months is 1.02 * 1.02 ( $ 5,000 ) = $ 5202 the answer is c .\"" - }, - { - "Answer": 50, - "Options": "a ) 16 % , b ) 50 % , c ) 17 % , d ) 17.61 % , e ) 17.56 %", - "Correct": "b", - "Explanation": "\"increase = ( 30 / 60 ) * 100 = ( 3 / 6 ) * 100 = 50 % . b\"" - }, - { - "Answer": 120, - "Options": "a ) 237 , b ) 126 , c ) 971 , d ) 611 , e ) 120", - "Correct": "e", - "Explanation": "explanation : let cp be 100 a sells at 25 % profit so sp = 125 b sells at 50 % profit = 125 x ( 1 + 50 / 100 ) = 187.5 cp - - - sp 100 - - - 187.5 x - - - 225 cp = 225 x 100 / 187.5 = 120 answer : e" - }, - { - "Answer": 20, - "Options": "a ) 20 , b ) 30 , c ) 35 , d ) 40 , e ) 55", - "Correct": "a", - "Explanation": "\"total = 75 books . 65 % of books that were loaned out are returned - - > 100 % - 65 % = 35 % of books that were loaned out are not returned . now , there are 68 books , thus 76 - 68 = 7 books are not returned . { loaned out } * 0.35 = 7 - - > { loaned out } = 20 . answer : a .\"" - }, - { - "Answer": 1440, - "Options": "a ) 1400 , b ) 1420 , c ) 1440 , d ) 1460 , e ) 1480", - "Correct": "c", - "Explanation": "\"sum = ( b . d * t . d ) / ( b . d - t . d ) ( 288 * 240 ) / 288 - 240 ; 1440 answer : c\"" - }, - { - "Answer": 37.5, - "Options": "a ) 24.5 , b ) 28.5 , c ) 30.5 , d ) 32.5 , e ) 37.5", - "Correct": "e", - "Explanation": "let c . p . be rs . 100 . then , s . p . = rs . 132 let marked price be rs . x . then , 96 / 100 x = 132 x = 13200 / 96 = rs . 137.5 now , s . p . = rs . 137.5 , c . p . = rs . 100 profit % = 37.5 % . answer : e" - }, - { - "Answer": 14.49, - "Options": "a ) 14.49 , b ) 16.33 , c ) 16.35 , d ) 16.3 , e ) 16.32", - "Correct": "a", - "Explanation": "\"c . p . of 50 kg wheat = ( 30 * 11.50 + 20 * 14.25 ) = rs . 630 . s . p . of 50 kg wheat = 115 % of rs . 630 = 115 / 100 * 630 = rs . 724.5 s . p . per kg = 724.5 / 50 = 14.49 a\"" - }, - { - "Answer": 425, - "Options": "a ) 150 , b ) 225 , c ) 325 , d ) 425 , e ) 550", - "Correct": "d", - "Explanation": "let there be a milliliters of medication a and b milliliters of medication b a + b = 750 - - 1 medication a contains 40 % pain killer and medication b contains 20 % pain killer . ( 40 / 100 ) * a + ( 20 / 100 ) * b = 215 = > ( 2 / 5 ) * a + ( 1 / 5 ) * b = 215 multiplying by 5 , we get 2 a + b = 1075 - - 2 equation 2 - equation 1 , we get a = 325 b = 425 answer d" - }, - { - "Answer": 10.239999999999993, - "Options": "a ) 10.24 % , b ) 9.22 % , c ) 9 % , d ) 14 % , e ) 12 %", - "Correct": "a", - "Explanation": "\"( 100 % - 12 % ) * ( 100 % + 2 % ) = 0.88 * 1.02 = 10.24 % the weigh in records your weight loss at 10.24 % ! the answer is a\"" - }, - { - "Answer": 50, - "Options": "a ) 24 % , b ) 8 % , c ) 50 % , d ) 40 % , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : solution : let c . p . of each chocolate be re . 1 . then , c . p . of 16 chocolates = rs . 16 ; s . p . of 16 chocolates = rs . 24 . . ' . gain % = 8 * 100 / 16 = 50 % answer : c\"" - }, - { - "Answer": 7692.307692307692, - "Options": "a ) 7692 , b ) 5325 , c ) 5351 , d ) 6000 , e ) 6154", - "Correct": "a", - "Explanation": "\"interest = 0.08 * 5000 = 0.065 * selling price - - > selling price = 0.1 * 5000 / 0.065 - - > selling price = ~ 7692 answer : a .\"" - }, - { - "Answer": 350, - "Options": "a ) 228 , b ) 350 , c ) 27 , d ) 200 , e ) 881", - "Correct": "b", - "Explanation": "\"let the sp of the refrigerator and the mobile phone be rs . r and rs . m respectively . r = 15000 ( 1 - 3 / 100 ) = 15000 - 450 m = 8000 ( 1 + 10 / 100 ) = 8000 + 800 total sp - total cp = r + m - ( 15000 + 8000 ) = - 450 + 800 = rs . 350 as this is positive , an overall profit of rs . 350 was made . answer : b\"" - }, - { - "Answer": 6.000000000000002, - "Options": "a ) 8 % , b ) 7 % , c ) 10 % , d ) 12 % , e ) 6 %", - "Correct": "e", - "Explanation": "\"option e explanation : 70 * ( 90 / 100 ) * ( ( 100 - x ) / 100 ) = 59.22 x = 6 %\"" - }, - { - "Answer": 66.66666666666666, - "Options": "a ) 10 % , b ) 33.33 % , c ) 40 % , d ) 50 % , e ) 66.66 %", - "Correct": "e", - "Explanation": "\"- - - - - - - - - - - - - - - - > ryegrass x - - - - - - - - - - - - - - > 40 % y - - - - - - - - - - - - - - > 25 % m ( mixture ) - - - - > 35 % 0.4 x + ( m - x ) 0.25 = 0.35 m 0.15 x = 0.10 m x = 0.6666 m x = 66.66 % of m e\"" - }, - { - "Answer": 8.333333333333332, - "Options": "a ) 12 % , b ) 12.5 % , c ) 6.67 % , d ) 6.25 % , e ) 8.33 %", - "Correct": "e", - "Explanation": "\"now after a time of 3 years the principal p amounts to $ 300 and after a time of 8 years ( question says after another 5 years so 3 + 5 ) p becomes $ 400 . formulating the above data amount ( a 1 ) at end of 3 years a 1 = p ( 1 + 3 r / 100 ) = 300 amount ( a 2 ) at end of 8 years a 2 = p ( 1 + 8 r / 100 ) = 400 dividing a 2 by a 1 we get ( 1 + 8 r / 100 ) / ( 1 + 3 r / 100 ) = 4 / 3 after cross multiplication we are left with 12 r = 100 which gives r = 8.33 % answer : e\"" - }, - { - "Answer": 4, - "Options": "a ) 6 , b ) 5 , c ) 4 , d ) 78 , e ) 2", - "Correct": "c", - "Explanation": "\"150 = ( 750 * 5 * r ) / 100 r = 4 % . answer : c\"" - }, - { - "Answer": 100, - "Options": "a ) 100 rs , b ) 150 rs , c ) 160 rs , d ) 180 rs , e ) 200 rs", - "Correct": "a", - "Explanation": "\"gain in 2 years = [ ( 5000 * 6 * 2 ) / 100 ] - [ ( 5000 * 4 * 2 ) / 100 ] 600 - 400 = 200 gain in 1 year = ( 200 / 2 ) = 100 rs answer : a\"" - }, - { - "Answer": 0.8153846153846154, - "Options": "a ) 4 / 5 , b ) 5 / 7 , c ) 13 / 15 , d ) 37 / 45 , e ) 79 / 90", - "Correct": "d", - "Explanation": "\"the number of people younger than 70 years old is 2700 - 900 = 1800 the number of females older than 70 years old is 0.4 * 1200 = 480 the number of males older than 70 years old is 900 - 480 = 420 the number of people who are either male or younger than 70 is 1800 + 420 = 2220 . p ( a person is younger than 70 or male ) = 2220 / 2700 = 37 / 45 the answer is d .\"" - }, - { - "Answer": 3.5000000000000053, - "Options": "a ) 3.5 % , b ) 10 % , c ) 11 % , d ) 15 % , e ) 20 %", - "Correct": "a", - "Explanation": "\"explanation : marked price = rs . 30 c . p . = 100 / 115 * 30 = rs . 26.08 sale price = 90 % of rs . 30 = rs . 27 required gain % = 0.92 / 26.08 * 100 = 3.5 % . answer : a\"" - }, - { - "Answer": 100, - "Options": "a ) 16 % , b ) 16.66 % , c ) 17.9 % , d ) 18.12 % , e ) 100 %", - "Correct": "e", - "Explanation": "increase = ( 40 / 40 ) * 100 = ( 1 ) * 100 = 100 % . e" - }, - { - "Answer": 1000, - "Options": "a ) 960 , b ) 980 , c ) 900 , d ) 970 , e ) 1000", - "Correct": "e", - "Explanation": "\"explanation : let original cost price is x its selling price = ( 105 / 100 ) * x = 21 x / 20 new cost price = ( 95 / 100 ) * x = 19 x / 20 new selling price = ( 110 / 100 ) * ( 19 x / 20 ) = 209 x / 200 [ ( 21 x / 20 ) - ( 209 x / 200 ) ] = 1 = > x = 1000 answer : e ) rs 1000\"" - }, - { - "Answer": 13.859649122807017, - "Options": "a ) 13.8 , b ) 77 , c ) 18 , d ) 99 , e ) 88", - "Correct": "a", - "Explanation": "\"total cp = rs . 42000 + rs . 15000 = rs . 57000 and sp = rs . 64900 profit ( % ) = ( 64900 - 57000 ) / 57000 * 100 = 13.8 % answer : a\"" - }, - { - "Answer": 112.5, - "Options": "a ) 237 , b ) 126 , c ) 971 , d ) 611 , e ) 112.5", - "Correct": "e", - "Explanation": "\"explanation : let cp be 100 a sells at 60 % profit so sp = 160 b sells at 25 % profit = 160 x ( 1 + 25 / 100 ) = 200 cp sp 100 - - - 200 x - - - 225 cp = 225 x 100 / 200 = 112.5 answer : e\"" - }, - { - "Answer": 200, - "Options": "a ) 200 % , b ) 100 % , c ) 50 % , d ) 65 % , e ) 110 %", - "Correct": "a", - "Explanation": "\"we ' re told that the number of women in a town is equal to 50 % of the number of men in that town . if . . . . men = 10 women = 5 we ' re asked for the number of men , as a percentage of the number of women . m / w = 10 / 5 = 2 = 200 % answer is a\"" - }, - { - "Answer": 25, - "Options": "a ) 25 % , b ) 25 % , c ) 29 % , d ) 55 % , e ) 45 %", - "Correct": "b", - "Explanation": "\"800 - - - 200 100 - - - ? = > 25 % answer : b\"" - }, - { - "Answer": 540.3508771929825, - "Options": "a ) 500 , b ) 540 , c ) 555 , d ) 664 , e ) 5598", - "Correct": "b", - "Explanation": "\"110 % of s . p . = 616 s . p . = ( 616 * 100 ) / 110 = rs . 560 c . p = ( 110 * 560 ) / 114 = rs . 540 answer : option b\"" - }, - { - "Answer": 52.5, - "Options": "a ) 50 % , b ) 55 % , c ) 60 % , d ) 62 % , e ) 52.5 %", - "Correct": "e", - "Explanation": "\"say dhoni ' s earning last month was $ 100 . dhoni spent 30 percent of his earning last month on rent - - > $ 25 on rent ; 10 percent less than what he spent on rent to purchase a new dishwasher - - > $ 25 * 0.9 = $ 22.5 on the dishwasher . left over amount 100 - ( 25 + 22.5 ) = $ 52.5 answer : e\"" - }, - { - "Answer": 648, - "Options": "a ) $ 900 , b ) $ 810 , c ) $ 915 , d ) $ 715 , e ) $ 648", - "Correct": "e", - "Explanation": "\"p = $ 800 r = 10 % t = 2 years machine value after 2 years = p [ ( 1 - r / 100 ) ^ t ] = 800 * 9 / 10 * 9 / 10 = $ 648 answer is e\"" - }, - { - "Answer": 16.64, - "Options": "a ) 16.64 % , b ) 16.07 % , c ) 16.08 % , d ) 16.09 % , e ) 16.19 %", - "Correct": "a", - "Explanation": "\"amount of rs . 100 for 1 year when compounded half - yearly = [ 100 * ( 1 + 8 / 100 ) 2 ] = rs . 116.64 effective rate = ( 116.64 - 100 ) = 116.64 % answer : a\"" - }, - { - "Answer": 1500, - "Options": "a ) $ 1000 , b ) $ 1500 , c ) $ 1850 , d ) $ 1600 , e ) $ 2000", - "Correct": "b", - "Explanation": "\"cost price = selling price * 100 / ( 100 + profit ) c . p . = 1800 * 100 / 120 = $ 1500 answer is b\"" - }, - { - "Answer": 1018.1818181818181, - "Options": "a ) 1018 , b ) 1067 , c ) 1977 , d ) 1056 , e ) 1097", - "Correct": "a", - "Explanation": "\"1120 = p [ 1 + ( 5 * 2 ) / 100 ] p = 1018 answer : a\"" - }, - { - "Answer": 1625, - "Options": "a ) 3000 , b ) 1230 , c ) 2000 , d ) 1625 , e ) 3400", - "Correct": "d", - "Explanation": "\"c . p . be rs . x . then , ( 1320 - x ) / x * 100 = ( x - 1280 ) / x * 100 1320 - x = x - 1280 2 x = 2600 = > x = 1300 required s . p . = 125 % of rs . 1300 = 125 / 100 * 1300 = rs . 1625 . anser d\"" - }, - { - "Answer": 150, - "Options": "a ) 150 , b ) 330 , c ) 277 , d ) 279 , e ) 712", - "Correct": "a", - "Explanation": "\"( 60 / 100 ) * x \u2013 40 = 50 6 x = 900 x = 150 answer : a\"" - }, - { - "Answer": 112.5, - "Options": "a ) rs . 72 , b ) rs . 92 , c ) rs . 112.50 , d ) rs . 116.50 , e ) none of these", - "Correct": "c", - "Explanation": "\"solution to obtain rs . 8 , investment = rs . 100 . to obtain rs . 9 , investment = rs . ( 100 / 8 x 9 ) = rs . 112.50 \u2234 market value of rs . 100 stock = rs . 112.50 answer c\"" - }, - { - "Answer": 1554.5, - "Options": "a ) 1554.5 , b ) 1509.5 , c ) 1108.5 , d ) 1107.5 , e ) 1100.5", - "Correct": "a", - "Explanation": "\"time = 2 years 4 months = 2 ( 4 / 12 ) years = 2 ( 1 / 3 ) years . amount = $ [ 4000 x ( 1 + \u00ad ( 15 / 100 ) ) 2 x ( 1 + ( ( 1 / 3 ) * 15 ) / 100 ) ] = $ [ 4000 * ( 23 / 20 ) * ( 23 / 20 ) * ( 21 / 20 ) ] = $ 5554.50 . : . c . i . = rs . ( 5554.50 - 4000 ) = $ 1554.50 answer a .\"" - }, - { - "Answer": 50, - "Options": "a ) $ 100 , b ) $ 75 , c ) $ 20 , d ) $ 120 , e ) $ 50", - "Correct": "e", - "Explanation": "\"a : b = 100 * 12 : 200 * 6 a : b = 1 : 1 a ' s share = 100 / 2 = $ 50 answer is e\"" - }, - { - "Answer": 33, - "Options": "a ) 18 % , b ) 20 % , c ) 17 % , d ) 33 % , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : let the cp of the article = rs . 100 . then labeled price = rs . 140 . sp = rs . 140 - 5 % of 140 = rs . 140 - 7 = rs . 133 . gain = rs . 133 \u00e2 \u20ac \u201c rs . 100 = rs . 33 therefore , gain / profit percent = 33 % . answer : option d\"" - }, - { - "Answer": 60.00000000000001, - "Options": "a ) 80 % , b ) 49 % , c ) 40 % , d ) 60 % , e ) 90 %", - "Correct": "d", - "Explanation": "the total cp = rs . 16000 + rs . 6250 = rs . 22250 and sp = rs . 35600 profit ( % ) = ( 35600 - 22250 ) / 22250 * 100 = 60 % answer : d" - }, - { - "Answer": 29, - "Options": "a ) 60 % , b ) 29 % , c ) 39 % , d ) 56 % , e ) 73 %", - "Correct": "b", - "Explanation": "\"let c . p . be rs . 100 . then , s . p . = rs . 122.55 let marked price be rs . x . then , 95 / 100 x = 122.55 x = 12255 / 95 = rs . 129 now , s . p . = rs . 129 , c . p . = rs . 100 profit % = 29 % . answer : b\"" - }, - { - "Answer": 8, - "Options": "a ) 11 , b ) 8 , c ) 10 , d ) 20 , e ) 12", - "Correct": "b", - "Explanation": "\"1500 - - - - 120 100 - - - - ? = > 8 % answer : b\"" - }, - { - "Answer": 280, - "Options": "a ) 228 , b ) 288 , c ) 27 , d ) 200 , e ) 280", - "Correct": "e", - "Explanation": "\"let the sp of the refrigerator and the mobile phone be rs . r and rs . m respectively . r = 15000 ( 1 - 4 / 100 ) = 15000 - 600 m = 8000 ( 1 + 11 / 100 ) = 8000 + 880 total sp - total cp = r + m - ( 15000 + 8000 ) = - 600 + 880 = rs . 280 as this is positive , an overall profit of rs . 280 was made . answer : e\"" - }, - { - "Answer": 23.157894736842106, - "Options": "a ) 22 % , b ) 23 % , c ) 24 % , d ) 25 % , e ) 34 %", - "Correct": "b", - "Explanation": "\"since 5 % of the customers who sample the candyare notcaught , then 88 % of the customers who sample the candyarecaught : { % of customers who sample candy } * 0.95 = 0.22 ; { % of customers who sample candy } = 0.231 . answer : b .\"" - }, - { - "Answer": 4, - "Options": "a ) 10 % , b ) 25 % , c ) 20 % , d ) 50 % , e ) 4 %", - "Correct": "e", - "Explanation": "rate of discount = 5 / 125 * 100 = 4 % answer is e" - }, - { - "Answer": 1055, - "Options": "a ) 1000 , b ) 1055 , c ) 1060 , d ) 1075 , e ) 1080", - "Correct": "b", - "Explanation": "\"cost of 8 kg grapes = 70 \u00d7 8 = 560 . cost of 9 kg of mangoes = 55 \u00d7 9 = 490 . total cost he has to pay = 560 + 490 = 1055 b\"" - }, - { - "Answer": 120, - "Options": "a ) 81 , b ) 100 , c ) 120 , d ) 135 , e ) 160", - "Correct": "c", - "Explanation": "\"since the wholesale price was $ 90 and the profit was 20 % of the wholesale price ( [ . 2 ] [ 90 ] = $ 18 ) , the retail price would have to be above $ 108 , but not that much greater than that . let ' s start by testing answer c : $ 120 . . . . if . . . . . retail price r = $ 120 10 % discount off = $ 120 - ( . 1 ) ( 120 ) = 120 - 12 = 108 20 % profit on wholesale price = 90 + ( . 2 ) ( 90 ) = 90 + 18 = 108 these two numbers match , so this must be the answer ! final answer : [ reveal ] spoiler : c\"" - }, - { - "Answer": 160, - "Options": "a ) 180 , b ) 450 , c ) 160 , d ) 170 , e ) 185", - "Correct": "c", - "Explanation": "explanation : let the number be n . then , 50 % of n - 35 % of n = 24 50 / 100 n - 35 / 100 n = 24 n = ( 24 x 100 ) / 15 = 160 . answer c" - }, - { - "Answer": 3000, - "Options": "a ) 3000 , b ) 2200 , c ) 2309 , d ) 2400 , e ) 3200", - "Correct": "a", - "Explanation": "\"sol = ~ s - so anju \u2019 s share = [ 5 / 9 ] x 5400 = 3000 a\"" - }, - { - "Answer": 43.99999999999999, - "Options": "a ) 40 % , b ) 41 % , c ) 42 % , d ) 43 % , e ) 44 %", - "Correct": "e", - "Explanation": "\"1.2 * 1.2 * x = 1.44 * x the answer is e .\"" - }, - { - "Answer": 680, - "Options": "a ) rs . 960 , b ) rs . 840 , c ) rs . 1020 , d ) rs . 680 , e ) none", - "Correct": "d", - "Explanation": "solution t . d = ( b . g x 100 / r x t ) = rs . ( 180 x 100 / 12 x 3 ) = rs . 500 . b . d = rs ( 500 + 180 ) = rs . 680 . answer d" - }, - { - "Answer": 12.356000000000002, - "Options": "a ) 0.12356 , b ) 1.2356 , c ) 12.356 , d ) 0.012356 , e ) 0.0012356", - "Correct": "c", - "Explanation": "since , percent = 1 / 100 , what = something ( s ) , and is : = . we can write the question as s = 0.1 ( 1 / 100 ) 12,356 . the answer is 12.356 . hence , the correct answer is c ." - }, - { - "Answer": 330.00000000000006, - "Options": "a ) 290 , b ) 310 , c ) 330 , d ) 350 , e ) 370", - "Correct": "c", - "Explanation": "\"let x be the total number of votes cast . 0.6 x = 0.4 x + 66 0.2 x = 66 x = 330 the answer is c .\"" - }, - { - "Answer": 25, - "Options": "a ) 11 , b ) 10 , c ) 28 , d ) 25 , e ) 82", - "Correct": "d", - "Explanation": "\"explanation : 2420 - - - 605 100 - - - ? = > 25 % answer : option d\"" - }, - { - "Answer": 109.0125, - "Options": "a ) 105 kg , b ) 103 kg , c ) 109 kg , d ) 125 kg , e ) 117 kg", - "Correct": "c", - "Explanation": "\"c 109 kg 190 \u00e3 \u2014 0.75 \u00e3 \u2014 0.85 \u00e3 \u2014 0.9 = 109 kg .\"" - }, - { - "Answer": 90, - "Options": "a ) 80 cm , b ) 90 cm , c ) 100 cm , d ) 120 cm , e ) 130 cm", - "Correct": "b", - "Explanation": "\"when ball comes down , then i have indicated the distance covered in green when ball goes up , then i have indicated the distance covered in red distance travelled uptil the ball touches the floor 3 rd time : h + 0.5 h + 0.5 h + 0.5 * 0.5 h + 0.5 * 0.5 h h + 2 * 0.5 * h + 2 * 0.25 * h = h ( 1 + 2 * 0.5 + 2 * 0.25 ) = h ( 1 + 1 + 0.5 ) = 225 2.5 h = 225 h = 90 . b is the answer .\"" - }, - { - "Answer": 12.00000000000091, - "Options": "a ) 5 , b ) 2 , c ) 9 , d ) 5 , e ) 12", - "Correct": "e", - "Explanation": "\"7500 = d ( 100 / 4 ) 2 d = 12 answer : e\"" - }, - { - "Answer": 975, - "Options": "a ) $ 950 , b ) $ 975 , c ) $ 1000 , d ) $ 1025 , e ) $ 1050", - "Correct": "b", - "Explanation": "\"let x be the cost price . 1.2 x = 1170 x = 1170 / 1.2 = 975 the answer is b .\"" - }, - { - "Answer": 362, - "Options": "a ) rs . 362 , b ) rs . 383 , c ) rs . 398 , d ) rs . 399 , e ) rs . 400", - "Correct": "a", - "Explanation": "\"suresh : rohan : sudhir ratio of their investments = 18000 \u00d7 12 : 12000 \u00d7 9 : 9000 \u00d7 8 = 6 : 3 : 2 the difference between rohan \u2019 s and sudhir \u2019 s share = 1 share : . i . e . = rs . 3982 \u00d7 1 / 11 = rs . 362 . a )\"" - }, - { - "Answer": 18880, - "Options": "a ) 17608 , b ) 17606 , c ) 17604 , d ) 17600 , e ) 18880", - "Correct": "e", - "Explanation": "\"price at which the tv set is bought = rs . 12,500 discount offered = 20 % marked price = 12500 * 100 / 80 = rs . 15625 the total amount spent on transport and installation = 125 + 250 = rs . 375 \\ total price of tv set = 15625 + 375 = rs . 16000 the price at whichthe tv should be sold to get a profit of 18 % if no discount was offered = 16000 * 118 / 100 = rs . 18880 . answer : e\"" - }, - { - "Answer": 3750, - "Options": "a ) 3630 , b ) 2881 , c ) 2887 , d ) 3750 , e ) 2212", - "Correct": "d", - "Explanation": "6300 : 4200 : 10500 3 : 2 : 5 3 / 10 * 12100 = 3750 . answer : d" - }, - { - "Answer": 600, - "Options": "a ) 400 , b ) 600 , c ) 800 , d ) 1000 , e ) 1200", - "Correct": "b", - "Explanation": "\"30 % = 180 marks 1 % = 6 marks 100 % = 600 marks the answer is b .\"" - }, - { - "Answer": 30400, - "Options": "a ) $ 28,300 , b ) $ 30,400 , c ) $ 31,300 , d ) $ 32,500 , e ) $ 35,100", - "Correct": "b", - "Explanation": "\"let the principal amount = p simple annual interest = 9 % simple monthly interest = ( 9 / 12 ) = ( 3 / 4 ) % ( 3 / 4 ) * ( p / 100 ) = 228 = > p = ( 228 * 4 * 10 ^ 2 ) / 3 = 76 * 4 * 10 ^ 2 = 304 * 10 ^ 2 answer b\"" - }, - { - "Answer": 48, - "Options": "a ) 44 , b ) 52 , c ) 50 , d ) 46 , e ) 48", - "Correct": "e", - "Explanation": "\"explanation : clue : firstly we need to calculate the si with prinical 600 , time 4 years and rate 10 % , it will be rs . 240 then we can get the time as time = ( 100 * 240 ) / ( 100 * 5 ) = 48 option e\"" - }, - { - "Answer": 12.500000000000004, - "Options": "a ) 20 % loss , b ) 12.5 % profit , c ) 33.33 % loss , d ) 30.33 % loss , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : let cost price of 1 article be re . 1 . therefore , cost price of 18 articles = rs . 18 . selling price of 16 articles = rs . 18 therefore , selling price of 18 articles is : - = > 18 / 16 \u00e3 \u2014 18 = > 20.25 . therefore , profit = selling price - cost price . = > 20.25 \u00e2 \u02c6 \u2019 18 = 2.25 . hence , the percentage of profit = profit x 100 / c . p . = > 2.25 / 18 \u00e3 \u2014 100 . = > 12.5 % profit . answer : b\"" - }, - { - "Answer": 30, - "Options": "a ) 30 % , b ) 33 % , c ) 31 % , d ) 32 % , e ) 34 %", - "Correct": "a", - "Explanation": "\"let the cp of each pen be rs . 1 . cp of 100 pens = rs . 100 profit = cost of 30 pens = rs . 30 profit % = 30 / 100 * 100 = 30 % answer : a\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 25 , b ) 33 , c ) 50 , d ) 67 , e ) 75", - "Correct": "b", - "Explanation": "1 / a + 1 / b = 1 / t 1 / a + 1 / 12 = 1 / 8 ( 50 % more of 8 is 12 ) 1 / a = 1 / 24 machine a can produce 1600 units in 24 hrs , so it can produce 1600 * 8 / 24 = 533.33 units is 8 hrs . 533.33 is 33.33 % of 1600 . b is the answer" - }, - { - "Answer": 44.000000000000014, - "Options": "a ) 44 , b ) 45 , c ) 46 , d ) 47 , e ) 48", - "Correct": "a", - "Explanation": "\"- a + b + ( ( - a ) ( b ) / 100 ) = - 20 + 80 + ( - 20 * 80 ) / 100 = - 20 + 80 - 16 = 44 answer : a\"" - }, - { - "Answer": 36.00000000000001, - "Options": "a ) 17 % , b ) 72 % , c ) 12 % , d ) 82 % , e ) 36 %", - "Correct": "e", - "Explanation": "\"original price = 100 cp = 80 s = 80 * ( 170 / 100 ) = 136 100 - 136 = 36 % answer : e\"" - }, - { - "Answer": 82, - "Options": "a ) 62 % , b ) 57 % , c ) 52 % , d ) 82 % , e ) 42 %", - "Correct": "d", - "Explanation": "\"total = 100 t = 90 nt = 10 90 * ( 10 / 100 ) = 910 * ( 90 / 100 ) = 9 9 + 9 = 18 = > 100 - 18 = 82 % answer : d\"" - }, - { - "Answer": 180, - "Options": "a ) 185.5 , b ) 180.0 , c ) 167.5 , d ) 172.5 , e ) 177.5", - "Correct": "b", - "Explanation": "\"for this it is easiest to use simple numbers . let ' s assume that elaine ' s annual earnings last year were $ 100 . she would ' ve spent $ 20 of this on rent . this year she earned 20 % more , or $ 120 she would ' ve spent 30 % of this on rent , or $ 36 do $ 36 / $ 20 this will give you 180 % b is the correct answer .\"" - }, - { - "Answer": 45.00000000000001, - "Options": "a ) 20 , b ) 30 , c ) 35 , d ) 45 , e ) 55", - "Correct": "d", - "Explanation": "\"there are 9 books less ( 75 - 66 ) which represents 20 % of the loaned books ( 100 - 80 ) so total loaned out books = 45 answer d\"" - }, - { - "Answer": 47.5, - "Options": "a ) 24 % , b ) 30 % , c ) 44 % , d ) 54 % , e ) 47.5 %", - "Correct": "e", - "Explanation": "\"percentage change in area = ( \u2212 30 \u2212 25 + ( 30 \u00d7 25 ) / 100 ) % = \u2212 47.5 % i . e . , area is decreased by 47.5 % answer : e\"" - }, - { - "Answer": 11.260000000000003, - "Options": "a ) 13 % , b ) 9.22 % , c ) 11.26 % , d ) 14 % , e ) 12 %", - "Correct": "c", - "Explanation": "( 100 % - 13 % ) * ( 100 % + 2 % ) = 0.87 * 1.02 = 11.26 % the weigh in records your weight loss at 11.26 % ! the answer is c" - }, - { - "Answer": 291.6666666666667, - "Options": "a ) 337 , b ) 280 , c ) 299.67 , d ) 266.67 , e ) 291.67", - "Correct": "e", - "Explanation": "\"x * ( 85 / 100 ) = ( 500 - x ) 119 / 100 x = 291.67 answer : e\"" - }, - { - "Answer": 160, - "Options": "a ) 83.33 , b ) 110 , c ) 112 , d ) 120 , e ) 160", - "Correct": "e", - "Explanation": "\"solution to earn rs . 10 , money invested = rs . 100 . to earn rs . 16 , money invested = rs . ( 100 / 10 x 16 ) = rs . 160 . \u00e2 \u02c6 \u00b4 market value of rs . 100 stock = rs . 160 answer e\"" - }, - { - "Answer": 0.24999999999999994, - "Options": "a ) 2 / 5 , b ) 1 / 4 , c ) 1 / 5 , d ) 1 / 7 , e ) 2 / 3", - "Correct": "b", - "Explanation": "\"let total paint = 1 let amount replaced = x 45 ( 1 - x ) + 25 x = 40 x = 1 / 4 answer : b\"" - }, - { - "Answer": 75, - "Options": "a ) 70 , b ) 65 , c ) 60 , d ) 75 , e ) 80", - "Correct": "d", - "Explanation": "\"round trip means 2 trips i . e . to and fro . he has completed one i . e 50 % completed . then he traveled another 50 % of 50 % i . e 25 % . so he completed 50 + 25 = 75 % of total trip . d\"" - }, - { - "Answer": 77.77777777777779, - "Options": "a ) 32.5 , b ) 77.78 , c ) 48 , d ) 65 , e ) 67.5", - "Correct": "b", - "Explanation": "\"1 ) let the price of jacket initially be $ 100 . 2 ) then it is decreased by 25 % , therefore bringing down the price to $ 75 . 3 ) again it is further discounted by 10 % , therefore bringing down the price to $ 56.25 4 ) now 56.25 has to be added byx % in order to equal the original price . 56.25 + ( x % ) 56.25 = 100 . solving this eq for x , we get x = 77.78 ans is b .\"" - }, - { - "Answer": 16.217391304347824, - "Options": "a ) 7.6 % , b ) 7.7 % , c ) 16.21 % , d ) 13.6 % , e ) 7.8 %", - "Correct": "c", - "Explanation": "\"explanation : let marked price be re . 1 each c . p . of 54 pens = rs . 46 s . p . of 54 pens = 99 % of rs . 54 = rs . 53.46 profit % = ( profit / c . p . ) x 100 profit % = ( 7.46 / 46 ) x 100 = 16.21 % answer : c\"" - }, - { - "Answer": 20.555555555555554, - "Options": "a ) 18 % , b ) 20.5 % , c ) 30 % , d ) 45 % , e ) 12 %", - "Correct": "b", - "Explanation": "\"1800 - - - - 370 100 - - - - ? = > 20.5 % answer : b\"" - }, - { - "Answer": 10.999999999999996, - "Options": "a ) 9 % , b ) 10 % , c ) 11 % , d ) 12 % , e ) 15 %", - "Correct": "c", - "Explanation": "\"let x be the discount on pony jeans . then 0.22 - x is the discount on fox jeans . 3 ( 0.22 - x ) ( 15 ) + 2 x ( 18 ) = 8.91 9.9 - 45 x + 36 x = 8.91 9 x = 0.99 x = 0.11 the answer is c .\"" - }, - { - "Answer": 400, - "Options": "a ) $ 400 , b ) $ 500 , c ) $ 650 , d ) $ 710 , e ) $ 1000", - "Correct": "a", - "Explanation": "\"p = $ 10000 r = 4 % t = 12 / 12 years = 1 year s . i . = p * r * t / 100 = 10000 * 4 * 1 / 100 = $ 400 answer is a\"" - }, - { - "Answer": 25, - "Options": "a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 30 %", - "Correct": "d", - "Explanation": "\"selling price / total cost = 1500 / 1200 = 1.25 the gain percent is 25 % . the answer is d .\"" - }, - { - "Answer": 0.6875000000000002, - "Options": "a ) a ) 2 , b ) b ) 4.5 , c ) c ) 0.69 , d ) d ) 5.5 , e ) e ) 3", - "Correct": "c", - "Explanation": "if the plant is 11 feet tall when it is planted , it will be 11 + k feet tall at the end of the day ( where k is the constant length it grows by every day ) . similarly , at the end of the 4 th day the plant must be 11 + 4 k feet tall and at the end of the 10 th day it must be 11 + 10 k feet tall . therefore 6 k = 0.3 ( 11 + 4 k ) = > k = 0.69 therefore the plant grows by 0.69 feet every day . option ( c )" - }, - { - "Answer": 2160, - "Options": "a ) 648 , b ) 1,800 , c ) 2,160 , d ) 10,800 , e ) 64,800", - "Correct": "c", - "Explanation": "\"5 machines produce 270 bottles per minute ; 1 machine produces 270 / 5 = 54 bottles per minute ; 10 machines produce 54 * 10 = 540 bottles per minute ; in 4 minutes 10 machines produce 540 * 4 = 2,160 bottles . answer : c .\"" - }, - { - "Answer": 4, - "Options": "a ) - 4 % , b ) - 2 % , c ) + 4 % , d ) + 2 % , e ) none of these", - "Correct": "c", - "Explanation": "solution : let initial price of maruti car be rs . 100 . as price increases 30 % , price of car will become , ( 100 + 30 % of 100 ) = rs . 130 . due to increase in price , sales is down by 20 % . it means , it is going make 20 % less revenue as expected after increment of price . so , new revenue = ( 130 - 20 % of 130 ) = rs . 104 . the initial revenue was rs . 100 which becomes rs . 104 at the end . it means there is 4 % increment in the total revenue . mind calculation method : 100 = = 30 % \u2191 ( price effect ) = = > 130 = = 20 % \u2193 ( sales effects ) = = > 104 . hence , 4 % rises . answer : option c" - }, - { - "Answer": 100, - "Options": "a ) 180 , b ) 170 , c ) 156 , d ) 150 , e ) 100", - "Correct": "e", - "Explanation": "\"we are first given that a team won 70 percent of its first 100 games . this means the team won 0.7 x 100 = 70 games out of its first 100 games . we are next given that the team won 50 percent of its remaining games . if we use variable t to represent the total number of games in the season , then we can say t \u2013 100 equals the number of remaining games in the season . thus we can say : 0.5 ( t \u2013 100 ) = number of wins for remaining games 0.5 t \u2013 50 = number of wins for remaining games lastly , we are given that team won 70 percent of all games played in the season . that is , they won 0.7 t games in the entire season . with this we can set up the equation : number of first 100 games won + number of games won for remaining games = total number of games won in the entire season 70 + 0.5 t \u2013 50 = 0.7 t 20 = 0.2 t 200 = 2 t 100 = t answer is e .\"" - }, - { - "Answer": 16, - "Options": "a ) 12 % , b ) 14 % , c ) 16 % , d ) 18 % , e ) 20 %", - "Correct": "c", - "Explanation": "\"the percent of jasmine in the resulting solution is : ( amount of jasmine ) / ( total volume ) ( 0.1 ( 80 ) + 8 ) / 100 = 16 / 100 = 16 % the answer is c .\"" - }, - { - "Answer": 125, - "Options": "a ) 125 , b ) 170 , c ) 175 , d ) 180 , e ) 185", - "Correct": "a", - "Explanation": "\"assume that face value = rs . 100 as it is not given to earn rs . 8 , money invested = rs . 100 to earn rs . 10 , money invested = 100 \u00d7 10 / 8 = rs . 125 ie , market value of the stock = rs . 125 answer is a .\"" - }, - { - "Answer": 1.44, - "Options": "a ) 1.44 % , b ) 1.43 % , c ) 1.34 % , d ) 4.44 % , e ) 1.74 %", - "Correct": "a", - "Explanation": "sp of each car is rs . 325475 , he gains 12 % on first car and losses 12 % on second car . in this case , there will be loss and percentage of loss is given by = [ ( profit % ) ( loss % ) ] / 100 = ( 12 ) ( 12 ) / 100 % = 1.44 % answer : a" - }, - { - "Answer": 810, - "Options": "a ) $ 900 , b ) $ 810 , c ) $ 915 , d ) $ 715 , e ) $ 795", - "Correct": "b", - "Explanation": "\"p = $ 1000 r = 10 % t = 2 years machine value after 2 years = p [ ( 1 - r / 100 ) ^ t ] = 1000 * 9 / 10 * 9 / 10 = $ 810 answer is b\"" - }, - { - "Answer": 288, - "Options": "a ) 240 , b ) 388 , c ) 288 , d ) 277 , e ) 122", - "Correct": "c", - "Explanation": "\"explanation : ( 3 * 8 + 2 * 4 ) : ( 4 * 8 + 5 * 4 ) 8 : 13 8 / 21 * 756 = 288 answer : c\"" - }, - { - "Answer": 10, - "Options": "a ) 10 , b ) 11 , c ) 14 , d ) 15 , e ) 20", - "Correct": "a", - "Explanation": "\"explanation : relative speed = 7.5 - 5.5 = 2 kmph ( because they walk in the same direction ) distance = 20 km time = distance / speed = 20 / 2 = 10 hr answer : a\"" - }, - { - "Answer": 4.783950617283951, - "Options": "a ) 4.78 , b ) 4.68 , c ) 4.58 , d ) 4.48 , e ) 4.38", - "Correct": "a", - "Explanation": "\"155 = ( 810 * 4 * r ) / 100 r = 4.78 % answer : a\"" - }, - { - "Answer": 60, - "Options": "a ) 10.22 % , b ) 20.22 % , c ) 21.22 % , d ) 60 % , e ) ca n ' t be calculated", - "Correct": "d", - "Explanation": "\"the owner buys 100 kg but actually gets 112 kg ; the owner sells 100 kg but actually gives 70 kg ; profit : ( 112 - 70 ) / 70 * 100 = ~ 60 % answer : d .\"" - }, - { - "Answer": 85.01760000000002, - "Options": "a ) 105 kg , b ) 85 kg , c ) 108 kg , d ) 125 kg , e ) 117 kg", - "Correct": "b", - "Explanation": "\"b 85 kg 180 \u00e3 \u2014 0.72 \u00e3 \u2014 0.82 \u00e3 \u2014 0.8 = 85 kg .\"" - }, - { - "Answer": 540, - "Options": "a ) s . 600 , b ) s . 480 , c ) s . 500 , d ) s . 540 , e ) s . 550", - "Correct": "d", - "Explanation": "\"sp = 900 profit = 25 % cp = ( sp ) * [ 100 / ( 100 + p ) ] = 900 * [ 100 / 125 ] = 720 loss = 25 % = 25 % of 720 = rs . 180 sp = cp - loss = 720 - 180 = rs . 540 answer : d\"" - }, - { - "Answer": 200, - "Options": "a ) 289 , b ) 231 , c ) 200 , d ) 288 , e ) 111", - "Correct": "c", - "Explanation": "\"explanation : let c . p . be rs . x . then , 5 % of x = 350 - 340 = 10 x / 20 = 10 = > x = 200 answer : c\"" - }, - { - "Answer": 8, - "Options": "a ) 8 , b ) 64 , c ) 50 , d ) 144 , e ) 160", - "Correct": "a", - "Explanation": "( 10 / 100 ) workers = 16 = > number of workers = 160 ( 50 / 100 ) * workers = x + 16 = > x = 8 answer a" - }, - { - "Answer": 100, - "Options": "a ) 90 % , b ) 100 % , c ) 110 % , d ) 120 % , e ) 130 %", - "Correct": "b", - "Explanation": "let x be the worker ' s salary last year . last year , she saved 0.06 x . this year , she saved 0.05 ( 1.2 x ) = 0.06 x 0.06 x / 0.06 x = 100 % the answer is b ." - }, - { - "Answer": 0.33, - "Options": "a ) 0.35 d , b ) 0.76 d , c ) 0.65 d , d ) 0.77 d , e ) 0.33 d", - "Correct": "e", - "Explanation": "effective discount = a + b + ab / 100 = - 45 - 40 + ( - 45 ) ( - 40 ) / 100 = - 67 sale price = d * ( 1 - 67 / 100 ) sale price = . 33 * d answer ( e )" - }, - { - "Answer": 2625.0000000000027, - "Options": "a ) 2197 , b ) 1267 , c ) 1750 , d ) 2267 , e ) 2625", - "Correct": "e", - "Explanation": "\"explanation : c . i . = [ 4000 * ( 1 + 10 / 100 ) 2 - 4000 ] = ( 4000 * 11 / 10 * 11 / 10 - 4000 ) = rs . 840 . sum = ( 420 * 100 ) / ( 2 * 8 ) = rs . 2625 answer : e\"" - }, - { - "Answer": 10.133333333333333, - "Options": "a ) 10.13 , b ) 9.13 , c ) 8.13 , d ) 11.13 , e ) 13.13", - "Correct": "a", - "Explanation": "required run rate = 396 - ( 4.6 x 20 ) / 30 = 304 / 30 = 10.13 option a" - }, - { - "Answer": 18150, - "Options": "a ) 12100 , b ) 15240 , c ) 18150 , d ) 18452 , e ) 19002", - "Correct": "c", - "Explanation": "\"the required population is = 15000 ( 1 + 10 / 100 ) ^ 2 = 15000 * 11 / 10 * 11 / 10 = 18150 answer is c\"" - }, - { - "Answer": 156.24999999999997, - "Options": "a ) $ 145.89 , b ) $ 138.62 , c ) $ 156.25 , d ) $ 160.23 , e ) $ 158.95", - "Correct": "c", - "Explanation": "\"present worth = 169 / ( 1 + 4 / 100 ) ^ 2 = 169 * 25 / 26 * 25 / 26 = $ 156.25 answer is c\"" - }, - { - "Answer": 8.249999999999998, - "Options": "a ) 8.25 , b ) 9.25 , c ) 7.25 , d ) 10.25 , e ) 3.25", - "Correct": "a", - "Explanation": "90 % - - - 11 120 % - - - ? 90 / 120 * 11 = 8.25 answer : a" - }, - { - "Answer": 6, - "Options": "a ) 6.25 , b ) 6.5 , c ) 6.75 , d ) 7 , e ) 6", - "Correct": "e", - "Explanation": "\"10 overs - run rate = 4.2 runs scored in first 10 overs = 42 remaining overs 40 total runs to be scored = 282 42 runs already scored 282 - 42 = 240 240 runs to be scored in 40 overs let required runrate be x 40 * x = 240 x = 240 / 40 x = 6.0 the required runrate is 6.0 answer : e\"" - }, - { - "Answer": 2800, - "Options": "a ) 1500 , b ) 2500 , c ) 2507 , d ) 2800 , e ) 11500", - "Correct": "d", - "Explanation": "\"p - 2240 = ( p * 5 * 4 ) / 100 p = 2800 answer : d\"" - }, - { - "Answer": 134.16407864998737, - "Options": "a ) 134 , b ) 150 , c ) 225 , d ) 250 , e ) 500", - "Correct": "a", - "Explanation": "\"90 = x / 100 * 50 / 100 * x = > x ^ 2 = 9 * 10000 / 5 = > x = 134 a\"" - }, - { - "Answer": 9502.923976608186, - "Options": "a ) s . 6000 , b ) s . 9000 , c ) s . 10800 , d ) s . 9503 , e ) s . 9980", - "Correct": "d", - "Explanation": "\"let actual price was 100 . after three successive discount this will become , 100 = = 20 % discount = > 80 = = 10 % discount = > 72 = = 5 % discount = 68.4 now compare , 68.4 = 6500 1 = 6500 / 68.4 100 = ( 6500 * 100 ) / 68.4 = rs . 9503 . answer : option d\"" - }, - { - "Answer": 56.92307692307692, - "Options": "a ) 30 % , b ) 57 % , c ) 90 % , d ) 100 % , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : let c . p . = rs . 100 . then , profit = rs . 160 , s . p . = rs . 260 . new c . p . = 112 % of rs . 100 = rs . 112 new s . p . = rs . 260 . profit = rs . ( 260 - 112 ) = rs . 148 . required percentage = ( 148 / 260 * 100 ) % = 57 % appox answer : b\"" - }, - { - "Answer": 7, - "Options": "a ) 5 liters , b ) 10 liters , c ) 7 liters , d ) 8 liters , e ) 6 liters", - "Correct": "c", - "Explanation": "\"required answer is = 21 ( 60 - 40 ) / 60 = 7 liters answer is c\"" - }, - { - "Answer": 16.64000000000001, - "Options": "a ) 16.16 % , b ) 16.32 % , c ) 16.64 % , d ) 17.26 % , e ) 18.56 %", - "Correct": "c", - "Explanation": "\"1.08 * 1.08 * x = 1.1664 * x the answer is c .\"" - }, - { - "Answer": 1.6351744186046513, - "Options": "a ) $ 1.50 , b ) $ 1.64 , c ) $ 2.25 , d ) $ 2.50 , e ) $ 3.25", - "Correct": "b", - "Explanation": "\"7 regular days - - > sales = 7 * 32 * x = 224 x ; 3 hot days - - > sales = 3 * 32 * ( 1.25 x ) = 120 x ; total sales = 224 x + 120 x = 344 x . total cost = 10 * 32 * 0.75 = 240 . profit = 344 x - 240 = 210 - - > x = 1.308 . 1.25 x = ~ 1.64 . answer : b .\"" - }, - { - "Answer": 1500, - "Options": "a ) 1300 , b ) 1350 , c ) 1400 , d ) 1450 , e ) 1500", - "Correct": "e", - "Explanation": "\"let x be the minimum number of questionnaires to be mailed . 0.6 x = 900 x = 1500 the answer is e .\"" - }, - { - "Answer": 3600, - "Options": "a ) 600 , b ) 720 , c ) 1080 , d ) 2200 , e ) 3600", - "Correct": "e", - "Explanation": "\"$ 120 for 2 years = $ 60 per year . extra $ 2 yearned with the compound interest is the percent yearned on percent . so , $ 2 is yearned on $ 60 , which means that the interest = 30 % . this on the other hand means that half of the savings = 60 * 30 = $ 1800 . twice of that = $ 3,600 . answer : e .\"" - }, - { - "Answer": 3300, - "Options": "a ) 2200 , b ) 1100 , c ) 2500 , d ) 2800 , e ) 3300", - "Correct": "e", - "Explanation": "\"amount earned using her cell phone = 50 * 36 = 1800 earned for remaining surveys = 50 * 30 = 1500 total earning = 3300 answer : e\"" - }, - { - "Answer": 16.666666666666664, - "Options": "a ) 12 % , b ) 15 % , c ) 16.67 % , d ) 18 % , e ) 22 %", - "Correct": "c", - "Explanation": "\"here 30 articles selling price = 35 articles cost price so the difference = 35 - 30 = 5 % of profit = 5 * 100 / 30 = 16.67 % correct option is c\"" - }, - { - "Answer": 5399.999999999995, - "Options": "a ) 2277 , b ) 2667 , c ) 5400 , d ) 2766 , e ) 1811", - "Correct": "c", - "Explanation": "\"p = 216 ( 100 / 5 ) ^ 2 = > p = 5400 answer : c\"" - }, - { - "Answer": 40, - "Options": "a ) 10 % , b ) 40 % , c ) 30 % , d ) 25 % , e ) 28 %", - "Correct": "b", - "Explanation": "\"cp = 50 sp = 70 profit = 70 - 50 = 20 % = 20 / 50 * 100 = 40 % answer : b\"" - }, - { - "Answer": 300, - "Options": "a ) $ 300 , b ) $ 350 , c ) $ 450 , d ) $ 550 , e ) $ 650", - "Correct": "a", - "Explanation": "soln : - 9 months = 3 / 4 of year ; 4 % = 4 / 100 = 1 / 25 ; $ 10,000 ( principal ) * 1 / 25 ( interest rate ) * 3 / 4 ( time ) = $ 300 . answer : a" - }, - { - "Answer": 144, - "Options": "a ) rs . 146 , b ) rs . 144 , c ) rs . 129 , d ) rs . 123 , e ) rs . 128", - "Correct": "b", - "Explanation": "\"given that sp = rs . 102 and loss = 15 % cp = [ 100 ( sp ) ] / ( 100 - l % ) = ( 100 * 102 ) / 85 = 20 * 6 = rs . 120 . to get 20 % profit , new sp = [ ( 100 + p % ) cp ] / 100 = ( 120 * 120 ) / 100 = rs . 144 answer : b\"" - }, - { - "Answer": 15.333333333333334, - "Options": "a ) rs . 11.81 , b ) rs . 12 , c ) rs . 15.33 , d ) rs . 12.31 , e ) none", - "Correct": "c", - "Explanation": "\"solution 90 : 12 = 115 : x x = ( 12 \u00e3 \u2014 115 / 90 ) = rs . 15.33 hence , s . p per kg = rs . 15.33 answer c\"" - }, - { - "Answer": 25, - "Options": "a ) 20 % , b ) 21 1 / 2 % , c ) 22 % , d ) 24 % , e ) 25 %", - "Correct": "e", - "Explanation": "\"in 8 kilograms of solution y there are 0.2 * 8 = 1.6 kilograms of solution x ; after 2 kilograms of water are replaced by 2 kilograms of solution y , to the existing 2.4 kilograms of solution x , 0.2 * 2 = 0.4 kilograms of solution x are added , so in the new solution of 8 kilograms there are 1.6 + 0.4 = 2 kilograms of solution x , which is 2 / 8 * 100 = 25 % of this new solution . answer : e .\"" - }, - { - "Answer": 160.00000000000003, - "Options": "a ) 80 % , b ) 160 % , c ) 120 % , d ) 124.2 % , e ) 138 %", - "Correct": "b", - "Explanation": "\"0,16 r = x / 100 * 0.1 r answer b\"" - }, - { - "Answer": 43.99999999999999, - "Options": "a ) 31.25 , b ) 37.5 , c ) 50.0 , d ) 52.5 , e ) 44.0", - "Correct": "e", - "Explanation": "\"we ' re told that the original price of an item is increased by 20 % and then that price is increased by 20 % . . . . if . . . . starting value = $ 100 + 20 % = 100 + . 20 ( 100 ) = 120 + 20 % = 120 + . 20 ( 120 ) = 120 + 24 = 144 the question asks how the final price relates to the original price . this is essentially about percentage change , which means we should use the percentage change formula : percentage change = ( new - old ) / old = difference / original doing either calculation will yield the same result : 44 / 100 = 44 % final answer : e\"" - }, - { - "Answer": 49.999999999999986, - "Options": "a ) 30 % , b ) 40 % , c ) 50 % , d ) 60 % , e ) 70 %", - "Correct": "c", - "Explanation": "\"let x be the cost price of one article . let y be the selling price of one article . 40 y = 60 x y = 1.5 x the answer is c .\"" - }, - { - "Answer": 2125, - "Options": "a ) $ 2125 , b ) $ 1320 , c ) $ 2000 , d ) $ 1580 , e ) $ 2000.75", - "Correct": "a", - "Explanation": "answer is ( a ) . if john wants to give each of his employees a turkey to help celebrate the thanksgiving holiday and each one costs him $ 25 multiplied by the number of employees ( 85 ) , he would have to pay a total of $ 2125 ." - }, - { - "Answer": 4000, - "Options": "a ) 7000 , b ) 7029 , c ) 4000 , d ) 2800 , e ) 2791", - "Correct": "c", - "Explanation": "\"let the sum be rs . x . ( x * 18 * 2 ) / 100 - ( x * 12 * 2 ) / 100 = 480 = > 36 x / 100 - 24 x / 100 = 480 = > 12 x / 100 = 480 = > x = 4000 . answer : c\"" - }, - { - "Answer": 202.5, - "Options": "a ) 202.5 , b ) 194.5 , c ) 197.5 , d ) 182.5 , e ) 177.5", - "Correct": "a", - "Explanation": "\"for this it is easiest to use simple numbers . let ' s assume that elaine ' s annual earnings last year were $ 100 . she would ' ve spent $ 20 of this on rent . this year she earned 15 % more , or $ 135 . she would ' ve spent 30 % of this on rent , or $ 40.5 do $ 40.5 / $ 20 this will give you 202.5 % a is the correct answer .\"" - }, - { - "Answer": 840, - "Options": "a ) 333 , b ) 500 , c ) 840 , d ) 299 , e ) 132", - "Correct": "c", - "Explanation": "\"explanation : let the total sale be rs . x . then , 2.5 % . of x = 21 < = > ( 25 / 10 * 1 / 100 * x ) = 21 < = > x = 840 . answer : c\"" - }, - { - "Answer": 62.5, - "Options": "a ) 50 % , b ) 60 % , c ) 63 % , d ) 66 % , e ) 70 %", - "Correct": "c", - "Explanation": "60 % were boy scouts so 40 % ( 100 - 60 = 40 ) were girl scouts . # of boy scouts with permission slips signed + # of girl scouts with permission slips signed = total # with permission slip signed ( 75 % of 60 % of the total going ) + ( ? % of 40 % of the total going ) = 70 % of the total going we can let the ` ` total going ' ' = 1,000 arbitrarily since we only care about the percent ( of girl scouts w / permission signed ) . 75 * . 60 * 1,000 + x * . 40 * 1,000 = . 70 * 1,000 450 + x * 400 = 700 400 x = 250 x = 250 / 400 x = . 625 converting this to a percent , we have 62.5 % . rounding , we have 63 % . c" - }, - { - "Answer": 238, - "Options": "a ) a ) 125 , b ) b ) 627 , c ) c ) 153 , d ) d ) 238 , e ) e ) 159", - "Correct": "d", - "Explanation": "\"34 + 28 + 10 = 72 % 100 \u2013 72 = 28 % 850 * 28 / 100 = 238 answer : d\"" - }, - { - "Answer": 62.5, - "Options": "a ) 31.25 , b ) 37.5 , c ) 50.0 , d ) 52.5 , e ) 62.5", - "Correct": "e", - "Explanation": "we ' re told that the original price of an item is increased by 25 % and then that price is increased by 30 % . . . . if . . . . starting value = $ 100 + 25 % = 100 + . 25 ( 100 ) = 125 + 30 % = 125 + . 30 ( 125 ) = 125 + 37.5 = 162.5 the question asks how the final price relates to the original price . this is essentially about percentage change , which means we should use the percentage change formula : percentage change = ( new - old ) / old = difference / original doing either calculation will yield the same result : 62.5 / 100 = 62.50 % final answer : e" - }, - { - "Answer": 500, - "Options": "a ) 450 , b ) 600 , c ) 500 , d ) 550 , e ) 650", - "Correct": "c", - "Explanation": "let max . mark = x pass mark = 45 x / 100 180 = 45 x / 100 - 45 x = 180 * 100 - 4500 / 45 = 500 answer : c" - }, - { - "Answer": 25, - "Options": "a ) 9 % , b ) 10 % , c ) 11 % , d ) 12 % , e ) 25 %", - "Correct": "e", - "Explanation": "\"x discount on pony jeans , ( 0.25 - x ) discount on fox jeans . set the equation : 3 * 15 ( 0.25 - x ) + 2 * 18 x = 9 - - > x = 0.25 = 25 % answer : e .\"" - }, - { - "Answer": 400, - "Options": "a ) 127 , b ) 688 , c ) 400 , d ) 121 , e ) 123", - "Correct": "c", - "Explanation": "\"let c . p . be rs . x . then , 5 % of x = 360 - 340 = 20 x / 20 = 20 = > x = 400 answer : c\"" - }, - { - "Answer": 45.77952755905512, - "Options": "a ) 46 % , b ) 49 % , c ) 57 % , d ) 59 % , e ) 61 %", - "Correct": "a", - "Explanation": "\"total number of votes polled = ( 6136 + 7636 + 11628 ) = 25400 so , required percentage = 11628 / 25400 * 100 = 46 % a\"" - }, - { - "Answer": 450, - "Options": "a ) 360 , b ) 380 , c ) 400 , d ) 450 , e ) 412", - "Correct": "d", - "Explanation": "mr . john used to purchase certain number of mangoes for $ 360 since the price of mangoes is reduced by 10 % he got 12 more mangoes today . find the original price of 120 mangoes . method 1 : let price per mango = x . let number of mangoes be n . then , nx = 360 . now price = 0.9 x ; number of mangoes = n + 12 . total amount = 0.9 x * ( n + 12 ) = 360 . nx = 0.9 nx + 10.8 x = > 0.1 nx = 10.8 x = > n = 108 = > x = 360 / 108 = 3.33 original price of 135 mangoes = 135 * 3.33 = 450 . answer d" - }, - { - "Answer": 19.999999999999993, - "Options": "a ) 20 , b ) 25 , c ) 30 , d ) 35 , e ) 40", - "Correct": "a", - "Explanation": "\"let x be the number of additional games the gambler needs to play . 0.4 ( 20 ) + 0.8 x = 0.6 ( x + 20 ) 0.2 x = 4 x = 20 the answer is a .\"" - }, - { - "Answer": 800, - "Options": "a ) 1000 , b ) 1400 , c ) 1200 , d ) 800 , e ) 1000", - "Correct": "d", - "Explanation": "\"volume of pool = 60 * 100 * 10 cu . ft , 80 % full = 60 * 100 * 10 * 0.8 cu . ft water is available to drain . draining capacity = 60 cu . ft / min therefore time taken = 60 * 100 * 10 * 0.8 / 60 min = 800 min d\"" - }, - { - "Answer": 7166.666666666667, - "Options": "a ) rs . 6289 , b ) rs . 6298 , c ) rs . 6290 , d ) rs . 7166 , e ) rs . 7708", - "Correct": "d", - "Explanation": "\"cp = sp * ( 100 / ( 100 + profit % ) ) = 8600 ( 100 / 120 ) = rs . 7166 . answer : d\"" - }, - { - "Answer": 136, - "Options": "a ) a ) 136 , b ) b ) 627 , c ) c ) 153 , d ) d ) 721 , e ) e ) 159", - "Correct": "a", - "Explanation": "\"46 + 28 + 10 = 84 % 100 \u2013 84 = 16 % 850 * 16 / 100 = 136 answer : a\"" - }, - { - "Answer": 50, - "Options": "a ) 50 , b ) 288 , c ) 27 , d ) 200 , e ) 881", - "Correct": "a", - "Explanation": "\"let the sp of the refrigerator and the mobile phone be rs . r and rs . m respectively . r = 15000 ( 1 - 5 / 100 ) = 15000 - 750 m = 8000 ( 1 + 10 / 100 ) = 8000 + 800 total sp - total cp = r + m - ( 15000 + 8000 ) = - 750 + 800 = rs . 50 as this is positive , an overall profit of rs . 50 was made . answer : a\"" - }, - { - "Answer": 2.0000333338888985, - "Options": "a ) 2 hours , b ) 4 hours , c ) 5 hours , d ) 6 hours , e ) 7 hours", - "Correct": "a", - "Explanation": "initial working rates : mary = 1 / 4 per hour hillary = 1 / 3 per hour rate when working together : mary = 1 / 4 + ( 1 / 3 * 1 / 4 ) = 1 / 3 per hour hillary = 1 / 3 - ( 1 / 2 * 1 / 3 ) = 1 / 6 per hour together they work 1 / 3 + 1 / 6 = 1 / 2 per hour so they will need 2 hours to complete the driveway . the correct answer is a ." - }, - { - "Answer": 63.63636363636363, - "Options": "a ) 64 % , b ) 41 % , c ) 45 % , d ) 72 % , e ) 78 %", - "Correct": "a", - "Explanation": "total population = 90 ( assume ) . 6 / 9 * 90 = 60 people from montague . 3 / 9 * 90 = 30 people from capulet . 0.2 * 60 = 12 people from montague support juliet . 0.7 * 30 = 21 people from capulet support juliet . the probability that a juliet supporter chosen at random resides in capulet is 21 / ( 12 + 21 ) = ~ 64 . answer : a" - }, - { - "Answer": 105, - "Options": "a ) 105 kg , b ) 103 kg , c ) 108 kg , d ) 125 kg , e ) 117 kg", - "Correct": "a", - "Explanation": "\"a 105 kg 250 \u00d7 0.7 \u00d7 0.8 \u00d7 0.75 = 105 kg .\"" - }, - { - "Answer": 90, - "Options": "a ) 89 , b ) 90 , c ) 91 , d ) 92 , e ) 93", - "Correct": "b", - "Explanation": "\"sum = ( b . d * t . d ) / ( b . d - t . d ) ( 18 * 15 ) / 18 - 15 ; 90 answer : b\"" - }, - { - "Answer": 428.2105263157895, - "Options": "a ) rs . 428 , b ) rs . 422 , c ) rs . 412 , d ) rs . 442 , e ) none of these", - "Correct": "a", - "Explanation": "\"explanation : f = rs . 2260 td = rs . 360 pw = f - td = 2260 - 360 = rs . 1900 true discount is the simple interest on the present value for unexpired time = > simple interest on rs . 1900 for unexpired time = rs . 360 banker ' s discount is the simple interest on the face value of the bill for unexpired time = simple interest on rs . 2260 for unexpired time = 360 / 1900 \u00d7 2260 = 0.19 \u00d7 2260 = rs . 428 answer : option a\"" - }, - { - "Answer": 6.866666666666666, - "Options": "a ) 5 , b ) 6.25 , c ) 6.75 , d ) 6.87 , e ) 7.25", - "Correct": "d", - "Explanation": "required run rate = 302 - ( 4.8 x 20 ) / 30 = 206 / 30 = 6.87 option d" - }, - { - "Answer": 571.4285714285713, - "Options": "a ) 263 , b ) 571.4 , c ) 367 , d ) 368 , e ) 339", - "Correct": "b", - "Explanation": "\"80 = ( p * 4 * 7 / 2 ) / 100 p = 571.4 answer : b\"" - }, - { - "Answer": 56, - "Options": "a ) 22 , b ) 38 , c ) 37 , d ) 56 , e ) 28", - "Correct": "d", - "Explanation": "answer : d ) 56 sec" - }, - { - "Answer": 19.999997500000312, - "Options": "a ) 20 , b ) 36 , c ) 40 , d ) 50 , e ) 48", - "Correct": "a", - "Explanation": "\"production cost per article : $ 60 * ( 100 % - 20 % ) / 20 = $ 2.40 required production costs for a loss of 20 % : $ 40 * ( 100 % + 20 % ) = $ 48 number of articles to be sold for $ 48 to incur a 20 % loss : $ 48 / $ 2.40 = 20 thus , solution a is correct .\"" - }, - { - "Answer": 824.3215999999993, - "Options": "a ) $ 645.56 , b ) $ 824.32 , c ) $ 954.26 , d ) $ 745.69 , e ) $ 1020.45", - "Correct": "b", - "Explanation": "\"principle = $ 10000 rate = 2 % half yearly = 4 half years amount = 10000 * ( 1 + 2 / 100 ) ^ 4 = 10000 * 51 / 50 * 51 / 50 * 51 / 50 * 51 / 50 = $ 10824.32 c . i . = 10824.32 - 10000 = $ 824.32 answer is b\"" - }, - { - "Answer": 11.11111111111111, - "Options": "a ) 11.11 , b ) 65 , c ) 78 , d ) 33 , e ) 25", - "Correct": "a", - "Explanation": "\"given that , cost price of 50 article is equal to selling price of 45 articles . let cost price of one article = rs . 1 selling price of 45 articles = rs . 50 but cost price of 45 articles = rs . 45 therefore , the trader made profit . \\ percentage of profit = 5 / 45 * 100 = 11.11 % answer : a\"" - }, - { - "Answer": 7999.999999999999, - "Options": "a ) rs . 6725 , b ) rs . 6727 , c ) rs . 8000 , d ) rs . 6725 , e ) rs . 6728", - "Correct": "c", - "Explanation": "\"cp = sp * ( 100 / ( 100 + profit % ) ) = 8800 ( 100 / 110 ) = rs . 8000 . answer : c\"" - }, - { - "Answer": 20, - "Options": "a ) 23.75 , b ) 22 , c ) 20 , d ) 19.20 , e ) none of these", - "Correct": "c", - "Explanation": "\"c . p . of mixture = 80 \u00d7 15 + 20 \u00d7 20 / 80 + 20 = 16 \u2234 s . p . = ( 100 + 25 ) / 100 \u00d7 16 = 20 answer c\"" - }, - { - "Answer": 31, - "Options": "a ) 25 % , b ) 27 % , c ) 29 % , d ) 31 % , e ) 33 %", - "Correct": "d", - "Explanation": "\"number of ducks in small pond = 45 green ducks in small pond = 20 % of 45 = 9 ducks number of ducks in large pond = 55 green ducks in large pond = 40 % of 55 = 22 ducks total number of ducks = 45 + 55 = 100 total number of green ducks = 9 + 22 = 31 ducks percentage of green ducks = 31 / 100 * 100 = 31 % answer : d\"" - }, - { - "Answer": 60.00000000000003, - "Options": "a ) 40 , b ) 60 , c ) 70 , d ) 80 , e ) 90", - "Correct": "b", - "Explanation": "40 % toys are red . 50 % toys are small - 50 % are large red and small - 10 % red and large must be 30 % ( since there are total 40 % red toys ) but 50 % toys are large . if 30 % are red and large , the rest 20 % large toys must be green . so large and green toys are 20 % . these 20 % large and green toys are actually 40 so total number of toys must be 200 . since red and large toys are 30 % , they must be 60 . answer : b" - }, - { - "Answer": 120, - "Options": "a ) 237 , b ) 126 , c ) 971 , d ) 611 , e ) 120", - "Correct": "e", - "Explanation": "\"explanation : let cp be 100 a sells at 50 % profit so sp = 150 b sells at 25 % profit = 150 x ( 1 + 25 / 100 ) = 187.50 cp - - - sp 100 - - - 187.50 x - - - 225 cp = 225 x 100 / 187.50 = 120 answer : e\"" - }, - { - "Answer": 51.910714285714285, - "Options": "a ) 45 % , b ) 49 % , c ) 52 % , d ) 59 % , e ) 61 %", - "Correct": "c", - "Explanation": "\"total number of votes polled = ( 3136 + 7636 + 11628 ) = 22400 so , required percentage = 11628 / 22400 * 100 = 52 % c\"" - }, - { - "Answer": 14.7, - "Options": "a ) 14 , b ) 14.7 , c ) 21.3 , d ) 21.5 , e ) 21.7", - "Correct": "b", - "Explanation": "total cost of the items he purchased = rs . 20 given that out of this rs . 20 , 30 % is given as tax = > total tax incurred = 30 % = rs . 30 / 100 let the cost of the tax free items = x given that tax rate = 6 % \u2234 ( 20 \u2212 30 / 100 \u2212 x ) 6 / 100 = 30 / 100 \u21d2 6 ( 20 \u2212 0.3 \u2212 x ) = 30 \u21d2 ( 20 \u2212 0.3 \u2212 x ) = 5 \u21d2 x = 20 \u2212 0.3 \u2212 5 = 14.7 b )" - }, - { - "Answer": 78, - "Options": "a ) 84 , b ) 94 , c ) 100 , d ) 125 , e ) 78", - "Correct": "e", - "Explanation": "\"60 % of 130 = x 0.60 * 130 = x 78 = x answer : e\"" - }, - { - "Answer": 80.00000000000001, - "Options": "a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90", - "Correct": "d", - "Explanation": "\"let x be the number of additional games the gambler needs to play . 0.4 ( 40 ) + 0.7 x = 0.6 ( x + 40 ) 0.1 x = 8 x = 80 the answer is d .\"" - }, - { - "Answer": 10, - "Options": "a ) 23 % , b ) 10 % , c ) 32 % , d ) 98 % , e ) 31 %", - "Correct": "b", - "Explanation": "\"2420 - - - 242 100 - - - ? = > 10 % answer : b\"" - }, - { - "Answer": 56.00000000000001, - "Options": "a ) 15 % , b ) 32 % , c ) 56 % , d ) 62 % , e ) 80 %", - "Correct": "c", - "Explanation": "\"assume 100 in march , then 130 in april as 30 % increase , then 104 in may as 20 % decrease from april , and then 156 in june which is 150 % of 104 . so overall increase is from 100 to 156 is 56 % answer c\"" - }, - { - "Answer": 7599.999999999999, - "Options": "a ) 7300 , b ) 7600 , c ) 7900 , d ) 8200 , e ) 8500", - "Correct": "b", - "Explanation": "\"let the total number of original inhabitants be x . ( 75 / 100 ) * ( 90 / 100 ) * x = 5130 ( 27 / 40 ) * x = 5130 x = 5130 * 40 / 27 = 7600 the answer is b .\"" - }, - { - "Answer": 100, - "Options": "a ) 150 , b ) 997 , c ) 266 , d ) 288 , e ) 100", - "Correct": "e", - "Explanation": "\"( 70 / 100 ) * x \u2013 40 = 30 7 x = 700 x = 100 answer : e\"" - }, - { - "Answer": 127.27272727272727, - "Options": "a ) 127 , b ) 120 , c ) 130 , d ) 140 , e ) 150", - "Correct": "a", - "Explanation": "he secured 45 marks nd fail by 25 marks so total marks for pass the examinatn = 70 let toal marks x x * 55 / 100 = 70 x = 127 answer : a" - }, - { - "Answer": 10, - "Options": "a ) 8 , b ) 7 , c ) 6 , d ) 4 , e ) 10", - "Correct": "e", - "Explanation": "\"80 % - - - 15 120 % - - - ? 80 / 120 * 15 = 10 answer : e\"" - }, - { - "Answer": 72, - "Options": "a ) s . 59 , b ) s . 72 , c ) s . 62 , d ) s . 50 , e ) s . 13", - "Correct": "b", - "Explanation": "\"sp per metre = 12000 / 200 = rs . 60 loss per metre = rs . 12 cp per metre = 60 + 12 = rs . 72 answer : b\"" - }, - { - "Answer": 160, - "Options": "a ) 155 , b ) 162 , c ) 157.5 , d ) 160 , e ) 157.12", - "Correct": "d", - "Explanation": "\"( 2000 * 2 * 4 ) / 100 = > 160 answer : d\"" - }, - { - "Answer": 50, - "Options": "a ) 50 % , b ) 40 % , c ) 30 % , d ) 60 % , e ) 20 %", - "Correct": "a", - "Explanation": "10 cp = 5 sp 10 - - - 5 cp gain 100 - - - ? = > 50 % ( gain ) answer : a" - }, - { - "Answer": 241.00000000000364, - "Options": "a ) 241 , b ) 725 , c ) 992 , d ) 837 , e ) 923", - "Correct": "a", - "Explanation": "\"10000 ( 11 / 10 ) 4 - 10000 ( 6 / 5 ) 2 = 241 answer : a\"" - }, - { - "Answer": 35.1216, - "Options": "a ) 35.9 % , b ) 34.12 % , c ) 32.12 % , d ) 35.12 % , e ) 31.12 %", - "Correct": "d", - "Explanation": "let rs . 100 be initial salary . salary after 1 st decrease , 8 % = 92 salary after 2 nd decrease , 14 % = 79.12 i . e . reduced by 14 percent of 92 salary after 3 rd decrease , 18 % = 64.88 i . e . reduced by 18 percent of 79.12 so if its decreased in single shot = i = ( ( b - a ) / b ) * 100 = 35.12 % answer : d" - }, - { - "Answer": 240, - "Options": "a ) 240 , b ) 278 , c ) 209 , d ) 267 , e ) 262", - "Correct": "a", - "Explanation": "\"( 3 * 8 + 2 * 4 ) : ( 4 * 8 + 5 * 4 ) 8 : 13 8 / 21 * 630 = 240 answer : a\"" - }, - { - "Answer": 580, - "Options": "a ) 520 , b ) 560 , c ) 580 , d ) 620 , e ) 610", - "Correct": "c", - "Explanation": "( 20 / 100 ) * x \u2013 ( 30 / 100 ) * 120 = 80 1 / 5 x = 116 x = 580 answer : c" - }, - { - "Answer": 60, - "Options": "a ) 20 % , b ) 42 % , c ) 44 % , d ) 60 % , e ) 84 %", - "Correct": "d", - "Explanation": "\"let ' s assume there are 100 reporters - - > 28 reporters cover local politics . now , as 30 % of the reporters who cover all politics do not cover local politics then the rest 70 % of the reporters who cover politics do cover local politics , so if there are x reporters who cover politics then 70 % of them equal to 28 ( # of reporters who cover local politics ) : 0.7 x = 28 - - > x = 40 , hence 40 reporters cover politics and the rest 100 - 40 = 60 reporters do not cover politics at all . answer : d .\"" - }, - { - "Answer": 38, - "Options": "a ) 38 , b ) 27.675 , c ) 30 , d ) data inadequate , e ) none of these", - "Correct": "a", - "Explanation": "\"giving no discount to customer implies selling the product on printed price . suppose the cost price of the article is 100 . then printed price = 100 \u00e3 \u2014 ( 100 + 31.1 ) / ( 100 \u00e2 \u02c6 \u2019 5 ) = 138 hence , required % profit = 138 \u00e2 \u20ac \u201c 100 = 38 % answer a\"" - }, - { - "Answer": 128.96016000000077, - "Options": "a ) 129 , b ) 130 , c ) 124 , d ) 133 , e ) 145", - "Correct": "a", - "Explanation": "\"s . i . = ( 1000 * 14 * 4 ) / 100 = rs . 560 c . i . = [ 1000 * ( 1 + 14 / 100 ) 4 - 1000 ] = rs . 689 difference = ( 689 - 560 ) = rs . 129 answer : a\"" - }, - { - "Answer": 2240, - "Options": "a ) 2000 , b ) 2778 , c ) 2299 , d ) 2778 , e ) 2240", - "Correct": "e", - "Explanation": "\"let c . p . be rs . x . then , ( 1920 - x ) / x * 100 = ( x - 1280 ) / x * 100 1920 - x = x - 1280 2 x = 3200 = > x = 1600 required s . p . = 140 % of rs . 1600 = 140 / 100 * 1600 = rs . 2240 . answer : e\"" - }, - { - "Answer": 2400, - "Options": "a ) 648 , b ) 1800 , c ) 2400 , d ) 10800 , e ) 10900", - "Correct": "c", - "Explanation": "\"let the required number of bottles be x . more machines , more bottles ( direct proportion ) more minutes , more bottles ( direct proportion ) machines 6 : 10 : : 360 : x time ( in minutes ) 1 : 4 6 x 1 x x = 10 x 4 x 360 x = ( 10 x 4 x 360 ) / ( 6 ) x = 2400 . answer : c\"" - }, - { - "Answer": 30, - "Options": "a ) 30 , b ) 36 , c ) 64 , d ) 72 , e ) none of these", - "Correct": "a", - "Explanation": "\"? % of 360 = 108 or , ? = 108 \u00d7 100 / 360 = 30 answer a\"" - }, - { - "Answer": 222.22222222222223, - "Options": "a ) 191 , b ) 213 , c ) 221 , d ) 223 , e ) 226", - "Correct": "d", - "Explanation": "\"for this question , we ' ll need the following formula : sell price = cost + profit we ' re told that the profit on 1 item is $ 20 and that this represents 10 % of the cost : sell price = cost + $ 40 sell price = $ 400 + $ 40 thus , the sell price is $ 440 for each item . selling all 100 items gives the retailer . . . 100 ( $ 40 ) = $ 2,000 of profit if the retailer offers a 5 % discount on the sell price , then the equation changes . . . 5 % ( 440 ) = $ 22 discount $ 418 = $ 400 + $ 18 now , the retailer makes a profit of just $ 18 per item sold . to earn $ 2,000 in profit , the retailer must sell . . . . $ 18 ( x ) = $ 2,000 x = 2,000 / 18 x = 222.222222 items you ' ll notice that this is not among the answer choices . . . . 221 and 223 are . selling 221 items would get us 9 ( 221 ) = $ 1989 which is not enough money . to get back to at least $ 2,000 , we need to sell 223 items . final answer : d\"" - }, - { - "Answer": 35.45454545454545, - "Options": "a ) 32 % , b ) 34.4 % , c ) 35 % , d ) 35.6 % , e ) 36.4 %", - "Correct": "d", - "Explanation": "\"( 1 ) when 30 and 40 has equal weight or weight = 1 / 2 , the answer would be 35 . ( 2 ) when 40 has larger weight than 30 , the answer would be in between 35 and 40 . unfortunately , we have 2 answer choices d and e that fit that condition so we need to narrow down our range . ( 3 ) get 72000 / 132000 = 6 / 11 . 6 / 11 is a little above 6 / 12 = 1 / 2 . thus , our answer is just a little above 35 . answer : d\"" - }, - { - "Answer": 12.00000000000001, - "Options": "a ) 82 % , b ) 52 % , c ) 12 % , d ) 19 % , e ) 22 %", - "Correct": "c", - "Explanation": "\"original price = 100 cp = 80 s = 80 * ( 140 / 100 ) = 112 100 - 112 = 12 % answer : c\"" - }, - { - "Answer": 0.15, - "Options": "a ) 0.16 , b ) 0.25 , c ) 0.45 , d ) 0.35 , e ) 0.15", - "Correct": "e", - "Explanation": "\"say there are 100 people in that group , then there would be 0.5 * 0.30 * 100 = 15 women lawyers , which means that the probability that the member selected is a woman lawyer is favorable / total = 15 / 100 . answer : e\"" - }, - { - "Answer": 0.40000000000000013, - "Options": "a ) $ 0.32 , b ) $ 0.40 , c ) $ 0.45 , d ) $ 0.48 , e ) $ 0.54", - "Correct": "b", - "Explanation": "\"if arthur and david submit separate orders , each would be smaller than 100 photocopies , so no discount . each would pay ( 80 ) * ( $ 0.02 ) = $ 1.60 , or together , a cost of $ 3.20 - - - that ' s the combined no discount cost . if they submit things together as one big order , they get a discount off of that $ 3.20 price - - - - 25 % or 1 / 4 of that is $ 0.80 , the discount on the combined sale . they each effective save half that amount , or $ 0.40 . answer = ( b ) .\"" - }, - { - "Answer": 661.25, - "Options": "a ) 600 , b ) 277 , c ) 269 , d ) 661.25 , e ) 281", - "Correct": "d", - "Explanation": "\"cost price = rs . 575 profit = 15 % of 575 = rs . 86.25 selling price = cost price + profit = 575 + 86.25 = 661.25 answer : d\"" - }, - { - "Answer": 600, - "Options": "a ) rs . 950 , b ) rs . 1500 , c ) rs . 600 , d ) rs . 1200 , e ) none of these", - "Correct": "c", - "Explanation": "\"explanation : sp of 1 metre cloth = 8200 / 40 = rs . 205 . cp of 1 metre cloth = rs . 205 \u2013 15 = rs . 190 cp on 40 metres = 190 x 40 = rs . 7600 profit earned on 40 metres cloth = rs . 8200 \u2013 rs . 7600 = rs . 600 . answer : option c\"" - }, - { - "Answer": 6, - "Options": "a ) 6 liters , b ) 8 liters , c ) 10 liters , d ) 12 liters , e ) 15 liters", - "Correct": "a", - "Explanation": "acid in 9 liters = 50 % of 9 = 4.5 liters suppose x liters of water be added . then 4.5 liters of acid in 9 + x liters of diluted solution 30 % of 9 + x = 4.5 27 + 3 x = 45 x = 6 liters answer is a" - }, - { - "Answer": 45, - "Options": "a ) 75 % , b ) 25 % , c ) 45 % , d ) 55 % , e ) 65 %", - "Correct": "c", - "Explanation": "\"let the 3 rd subject % = x 55 + 65 + x = 3 * 55 120 + x = 165 x = 165 - 120 = 45 answer : c\"" - }, - { - "Answer": 40000, - "Options": "a ) 16000 , b ) 10000 , c ) 40000 , d ) 12000 , e ) 5000", - "Correct": "c", - "Explanation": "\"winner - looser 55 % - 45 % if 4000 people change their mind and vote for the loser : winner - looser 45 % - 55 % thus 4,000 people compose 25 % of all voters , which means that the total number of votes is 40,000 answer : c\"" - }, - { - "Answer": 99.99998666666843, - "Options": "a ) 150 , b ) 75 , c ) 125 , d ) 95 , e ) 100", - "Correct": "e", - "Explanation": "\"( 75 / 100 ) * x \u00e2 \u20ac \u201c 25 = 50 7.5 x = 750 x = 100 answer : e\"" - }, - { - "Answer": 396, - "Options": "a ) 420 , b ) 700 , c ) 220 , d ) 400 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : he sells 10 % of oranges and still there are 360 oranges remaining = > 90 % of oranges = 360 \u21d2 ( 90 \u00d7 total oranges ) / 100 = 360 \u21d2 total oranges / 100 = 4 \u21d2 total oranges = 4 \u00d7 100 = 400 answer : option d\"" - }, - { - "Answer": 24.000000000000004, - "Options": "a ) 22.5 % , b ) 24 % , c ) 30 % , d ) 33 % , e ) 20 %", - "Correct": "b", - "Explanation": "\"say morks income is - 100 so tax paid will be 40 say mindys income is 4 * 100 = 400 so tax paid is 20 % * 400 = 80 total tax paid = 40 + 80 = 120 . combined tax % will be 120 / 100 + 400 = 24 %\"" - }, - { - "Answer": 640, - "Options": "a ) rs . 640 , b ) rs . 760 , c ) rs . 860 , d ) rs . 960 , e ) none of these", - "Correct": "a", - "Explanation": "\"explanation : here always remember , when ever x % loss , it means s . p . = ( 100 - x ) % of c . p when ever x % profit , it means s . p . = ( 100 + x ) % of c . p so here will be ( 100 - x ) % of c . p . = 80 % of 800 = 80 / 100 * 800 = 640 option a\"" - }, - { - "Answer": 17.446043165467625, - "Options": "a ) 16.8 % , b ) 17.4 % , c ) 17.9 % , d ) 18.5 % , e ) 19.1 %", - "Correct": "b", - "Explanation": "\"given : selling price of an apple = 23 - - > cost price = 23 / 1.15 = 20 selling price of an orange = 10 - - > cost price = 10 / 1.25 = 8 a > o 23 * ( a ) + 10 * ( o ) = 653 653 - 23 * ( a ) has to be divisible by 10 - - > units digit has to be 0 values of a can be 1 , 11 , 21 , 31 , . . . . - - > 1 can not be the value between 11 and 21 , if a = 11 , o = 30 - - > not possible if a = 21 , o = 17 - - > possible cost price = 20 * 21 + 8 * 17 = 420 + 136 = 556 profit = 653 - 556 = 97 profit % z = ( 97 / 556 ) * 100 = 17.4 % answer : b\"" - }, - { - "Answer": 75, - "Options": "a ) 16 % , b ) 16.66 % , c ) 17.9 % , d ) 18.12 % , e ) 75 %", - "Correct": "e", - "Explanation": "\"increase = ( 30 / 40 ) * 100 = ( 3 / 4 ) * 100 = 75 % . e\"" - }, - { - "Answer": 12.5, - "Options": "a ) 12.50 % , b ) 13.50 % , c ) 14 % , d ) 14.50 % , e ) none", - "Correct": "a", - "Explanation": "\"sol . let c . p . = rs . 100 . then , marked price = rs . 150 . s . p . = 75 % of rs . 150 = rs . 112.50 . \u2234 gain % = 12.50 % . answer a\"" - }, - { - "Answer": 50, - "Options": "a ) 12.5 % , b ) 40 % , c ) 50 % , d ) 60 % , e ) 67.5 %", - "Correct": "c", - "Explanation": "\"60 + 65 + 25 = 150 % the number is 50 % above 100 % because 50 % of the counties were counted twice . the answer is c .\"" - }, - { - "Answer": 17, - "Options": "a ) 17 hr , b ) 14 hr , c ) 12 hr , d ) 19 hr , e ) 23 hr", - "Correct": "a", - "Explanation": "\"relative speed = 5.5 - 5 = 0.5 kmph ( because they walk in the same direction ) distance = 8.5 km time = distance / speed = 8.5 / 0.5 = 17 hr answer is a\"" - }, - { - "Answer": 256, - "Options": "a ) 256 , b ) 388 , c ) 379 , d ) 277 , e ) 122", - "Correct": "a", - "Explanation": "\"explanation : ( 3 * 8 + 2 * 4 ) : ( 4 * 8 + 5 * 4 ) 8 : 13 8 / 21 * 672 = 256 answer : a\"" - }, - { - "Answer": 5, - "Options": "a ) 8 , b ) 9 , c ) 7 , d ) 6 , e ) 5", - "Correct": "e", - "Explanation": "\"40 % - - - 20 160 % - - - ? 40 / 160 * 20 = 5 answer : e\"" - }, - { - "Answer": 1600, - "Options": "a ) 1667 , b ) 6789 , c ) 1200 , d ) 1600 , e ) 1421", - "Correct": "d", - "Explanation": "\"cp * ( 76 / 100 ) = 1216 cp = 16 * 100 = > cp = 1600 answer : d\"" - }, - { - "Answer": 52, - "Options": "a ) 10 % , b ) 25 % , c ) 20 % , d ) 52 % , e ) 45 %", - "Correct": "d", - "Explanation": "\"rate of discount = 130 / 250 * 100 = 52 % answer is d\"" - }, - { - "Answer": 35.65891472868217, - "Options": "a ) 32 % , b ) 34.4 % , c ) 35 % , d ) 35.6 % , e ) 36.4 %", - "Correct": "d", - "Explanation": "\"( 1 ) when 30 and 40 has equal weight or weight = 1 / 2 , the answer would be 35 . ( 2 ) when 40 has larger weight than 30 , the answer would be in between 35 and 40 . unfortunately , we have 2 answer choices d and e that fit that condition so we need to narrow down our range . ( 3 ) get 73000 / 129000 = 73 / 129 is a little above 1 / 2 . thus , our answer is just a little above 35 . answer : d\"" - }, - { - "Answer": 384.00000000000006, - "Options": "a ) 320 , b ) 384 , c ) 400 , d ) 408.3 , e ) 440", - "Correct": "b", - "Explanation": "\"the question stem asks us for the distance possible with 10 gallons of fuel at a constant speed of 60 miles per hour . we therefore first calculate the fuel efficiency at that speed . the stem tells us that at 45 miles / hour , the car will run 48 miles / gallon and at 60 miles / hour , that distance decreases by 20 % . we can therefore conclude that the car will travel 38.4 miles / gallon at a constant speed of 60 miles / gallon . with 10 gallons of fuel , the car can therefore travel 38.4 miles / gallon * 10 gallons = 384 miles . answer b .\"" - }, - { - "Answer": 4, - "Options": "a ) 4.5 % , b ) 4.25 % , c ) 4 % , d ) 4.3 % , e ) 4.1 %", - "Correct": "c", - "Explanation": "\"interest for 1 year = 320 / 4 = 80 interest on rs 2000 p / a = 80 interest rate = 80 / 2000 * 100 = 4 % answer : c\"" - }, - { - "Answer": 25, - "Options": "a ) 10 % , b ) 25 % , c ) 20 % , d ) 30 % , e ) 50 %", - "Correct": "b", - "Explanation": "\"here 8 articles selling price = 10 articles cost price so the difference = 10 - 8 = 2 % of profit = 2 * 100 / 8 = 25 % correct option is b\"" - }, - { - "Answer": 5, - "Options": "a ) 0.2 % , b ) 2 % , c ) 5 % , d ) 20 % , e ) 500 %", - "Correct": "c", - "Explanation": "\"2 = x * 40 / 100 x = 5 % ans ; c\"" - }, - { - "Answer": 50, - "Options": "a ) 25 % , b ) 50 % , c ) 20 % , d ) 5 % , e ) none of these", - "Correct": "b", - "Explanation": "\"l . c . m of 15 and 12 = 60 cp of 60 articles = rs . 100 ( 25 * 4 ) sp of 60 articles = rs . 150 ( 30 * 5 ) profit percentage = ( 150 - 100 ) / 100 * 100 = 50 % answer : b\"" - }, - { - "Answer": 25, - "Options": "a ) 37.5 % , b ) 48 % , c ) 50.5 % , d ) 52 % , e ) 25 %", - "Correct": "e", - "Explanation": "\"explanation : let marked price = rs . 100 . then , c . p . = rs . 64 , s . p . = rs . 80 gain % = 16 / 64 * 100 = 25 % . answer : option e\"" - }, - { - "Answer": 180, - "Options": "a ) 120 , b ) 300 , c ) 180 , d ) 170 , e ) 148", - "Correct": "c", - "Explanation": "\"( 60 / 100 ) * x \u00e2 \u20ac \u201c 20 = 88 6 x = 1080 x = 180 answer : c\"" - }, - { - "Answer": 2.1428571428571423, - "Options": "a ) 1.5 , b ) 1.75 , c ) 2.14 , d ) 2.34 , e ) 2.64", - "Correct": "c", - "Explanation": "\"let the total solution is 150 l with 80 l water 70 l syrup . to make 35 % syrup solution , the result solution must have 97.5 l syrup and 52.5 l syrup . therefore we are taking 17.5 l of syrup from initial solution and replacing with water . using urinary method : 70 l syrup in 150 l solution 17.5 l syrup in 37.5 l solution we started by multiplying 10 now to get to the result we need to divide by 17.5 = > amount of solution to be replaced with water ( 37.5 / 17.5 ) = 2.14 . correct option : c\"" - }, - { - "Answer": 200, - "Options": "a ) 110 , b ) 220 , c ) 330 , d ) 200 , e ) 789", - "Correct": "d", - "Explanation": "let ' s take the approach that uses the answer choices to eliminate wasted time . 500 / 100 = 5 coffee bar per minute per machine . 20 machines = 100 per minute . 2 minutes worth = 200 coffe bar . looking at the answers it is clear . . . we can only choose ( d ) the correct answer is d ." - }, - { - "Answer": 3300, - "Options": "a ) 3300 , b ) 1100 , c ) 2667 , d ) 600 , e ) 4000", - "Correct": "a", - "Explanation": "\"explanation : 6000 : 4000 : 10000 3 : 2 : 5 3 / 10 * 11000 = 3300 answer : a\"" - }, - { - "Answer": 2, - "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", - "Correct": "a", - "Explanation": "\"75 = ( 750 * 5 * r ) / 100 r = 2 % . answer : a\"" - }, - { - "Answer": 35, - "Options": "a ) 30 % , b ) 35 % , c ) 40 % , d ) 45 % , e ) 50 %", - "Correct": "b", - "Explanation": "\"the number of silver cars is 0.15 * 40 + 0.45 * 80 = 42 the percentage of cars which are silver is 42 / 120 = 35 % the answer is b .\"" - }, - { - "Answer": 189, - "Options": "a ) rs . 135 , b ) rs . 162 , c ) rs . 189 , d ) rs . 198 , e ) none of these", - "Correct": "c", - "Explanation": "cp per kg of mixture = [ 24 ( 150 ) + 36 ( 125 ) ] / ( 24 + 36 ) = rs . 135 sp = cp [ ( 100 + profit % ) / 100 ] = 135 * [ ( 100 + 40 ) / 100 ] = rs . 189 . answer : c" - }, - { - "Answer": 44, - "Options": "a ) 24 % , b ) 30 % , c ) 44 % , d ) 54 % , e ) 64 %", - "Correct": "c", - "Explanation": "percentage change in area = ( \u2212 30 \u2212 20 + ( 30 \u00d7 20 ) / 100 ) % = \u2212 44 % i . e . , area is decreased by 44 % answer : c" - }, - { - "Answer": 12.999999999999995, - "Options": "a ) 9 % , b ) 10 % , c ) 11 % , d ) 12 % , e ) 13 %", - "Correct": "e", - "Explanation": "\"let x be the discount on pony jeans . then 0.22 - x is the discount on fox jeans . 3 ( 0.22 - x ) ( 15 ) + 2 x ( 18 ) = 8.73 9.9 - 45 x + 36 x = 8.73 9 x = 1.17 x = 0.13 the answer is e .\"" - }, - { - "Answer": 43.99999999999999, - "Options": "a ) 18 % , b ) 13 % , c ) 12 % , d ) 32 % , e ) 44 %", - "Correct": "e", - "Explanation": "\"original price = 100 cp = 80 s = 80 * ( 180 / 100 ) = 112 100 - 144 = 44 % answer : e\"" - }, - { - "Answer": 1.46, - "Options": "a ) 1.46 % , b ) 1.93 % , c ) 10 % , d ) 15 % , e ) 19 %", - "Correct": "a", - "Explanation": "i think there is a typo in question . it should have been ` ` by weight liquid ' x ' makes up . . . . . ` ` weight of liquid x = 0.8 % of weight of a + 1.8 % of weight of b when 250 gms of a and 700 gms of b is mixed : weight of liquid x = ( 0.8 * 250 ) / 100 + ( 1.8 * 700 ) / 100 = 14.6 gms % of liquid x in resultant mixture = ( 14.6 / 1000 ) * 100 = 1.46 % a" - }, - { - "Answer": 14.49, - "Options": "a ) 16.06 % , b ) 16.07 % , c ) 16.08 % , d ) 14.49 % , e ) 16.19 %", - "Correct": "d", - "Explanation": "\"amount of rs . 100 for 1 year when compounded half - yearly = [ 100 * ( 1 + 7 / 100 ) 2 ] = rs . 14.49 effective rate = ( 114.49 - 100 ) = 14.49 % answer : d\"" - }, - { - "Answer": 60, - "Options": "a ) 20 , b ) 80 , c ) 40 , d ) 60 , e ) 50", - "Correct": "d", - "Explanation": "machine b produces 100 part in 30 minutes . machine a produces 100 parts thrice as fast as b , so machine a produces 100 parts in 30 / 3 = 10 minutes . now , machine a produces 100 parts in 10 minutes which is 100 / 10 = 10 parts / minute . 10 parts x a total of 6 minutes = 60 d" - }, - { - "Answer": 7199.999999999994, - "Options": "a ) 2277 , b ) 2667 , c ) 3600 , d ) 7200 , e ) 1811", - "Correct": "d", - "Explanation": "\"p = 288 ( 100 / 5 ) ^ 2 = > p = 7200 answer : d\"" - }, - { - "Answer": 7.289504036908881, - "Options": "a ) 6.9 , b ) 8.99 , c ) 7.29 , d ) 7.98 , e ) 9.21", - "Correct": "c", - "Explanation": "\"we assume that 867 is 100 % assume ' x ' is value we looking for here , 867 = 100 % and x % = 63.2 therefore , 100 / x = 867 / 63.2 100 / x = 13.71 x = 7.29 c\"" - }, - { - "Answer": 64, - "Options": "a ) 44 , b ) 48 , c ) 50 , d ) 64 , e ) 56", - "Correct": "d", - "Explanation": "\"number of passengers on flight = 120 number of female passengers = . 6 * 120 = 72 number of passengers in first class = ( 10 / 100 ) * 120 = 12 number of passengers in coach class = ( 90 / 100 ) * 120 = 108 number of male passengers in first class = 1 / 3 * 12 = 4 number of female passengers in first class = 12 - 4 = 8 number of female passengers in coach class = 72 - 8 = 64 answer d\"" - }, - { - "Answer": 63.00000000000006, - "Options": "a ) 33 , b ) 39 , c ) 38 , d ) 63 , e ) 01", - "Correct": "d", - "Explanation": "by the rule of alligation : c . p . of 1 kg sugar of 1 st kind c . p . of 1 kg sugar of 2 nd kind { \\ color { blue } \\ therefore } ratio of quantities of 1 st and 2 nd kind = 14 : 6 = 7 : 3 . let x kg of sugar of 1 st kind be mixed with 27 kg of 2 nd kind . then , 7 : 3 = x : 27 or x = ( 7 x 27 / 3 ) = 63 kg . answer : d ) 63 kg" - }, - { - "Answer": 0.40000000000000013, - "Options": "a ) $ 0.32 , b ) $ 0.40 , c ) $ 0.45 , d ) $ 0.48 , e ) $ 0.54", - "Correct": "b", - "Explanation": "if saran and david submit separate orders , each would be smaller than 100 photocopies , so no discount . each would pay ( 80 ) * ( $ 0.02 ) = $ 1.60 , or together , a cost of $ 3.20 - - - that ' s the combinedno discount cost . if they submit things together as one big order , they get a discount off of that $ 3.20 price - - - - 25 % or 1 / 4 of that is $ 0.80 , the discount on the combined sale . they each effective save half that amount , or $ 0.40 . answer = ( b ) ." - }, - { - "Answer": 10, - "Options": "a ) 0.002 % , b ) 0.02 % , c ) 0.2 % , d ) 2 % , e ) 10 %", - "Correct": "e", - "Explanation": "\"we are given that 0.05 ounces of water evaporated each day . furthermore , we know that this process happened over a 20 - day period . to calculate the total amount of water that evaporated during this time frame we need to multiply 0.05 by 20 . this gives us : 0.05 x 20 = 1 ounces finally , we are asked for \u201c what percent \u201d of the original amount of water evaporated during this period . to determine this percentage , we have to make sure we translate the expression correctly . we can translate it to : ( amount evaporated / original amount ) x 100 % ( 1 / 10 ) x 100 % ( 10 / 100 ) x 100 % = 10 % answer e\"" - }, - { - "Answer": 60000, - "Options": "a ) 33488 , b ) 63809 , c ) 60000 , d ) 37887 , e ) 77824", - "Correct": "c", - "Explanation": "explanation : suppose y invested rs . y . then 40000 / y = 2 / 3 or y = 60000 . answer : c ) 60000" - }, - { - "Answer": 328.3, - "Options": "a ) 328 , b ) 320 , c ) 300 , d ) 207 , e ) 310", - "Correct": "a", - "Explanation": "sp = 1.34 * 245 = 328 answer : a" - }, - { - "Answer": 4000, - "Options": "a ) 3200 , b ) 4000 , c ) 3250 , d ) 3825 , e ) 3985", - "Correct": "b", - "Explanation": "ratio of investment , as investments is for different time . investment x number of units of time . ratio of investments x : y : z = 36000 : 42000 : 48000 = > 6 : 7 : 8 . x = 6 x 12 months = 72 , y = 7 x 12 = 84 , z = 8 x 8 = 64 = > 18 : 21 : 16 . ratio of investments = > x : y : z = 18 : 21 : 16 . investment ratio = profit sharing ratio . z = 13750 \u00d7 16 / 55 = rs . 4000 . share of z in the profit is rs . 4000 . option b" - }, - { - "Answer": 4.999999999999999, - "Options": "a ) 6 , b ) 5 , c ) 7 , d ) 8 , e ) 9", - "Correct": "b", - "Explanation": "\"machine b : takes x hours to produce 550 sprockets machine a : takes ( x + 10 ) hours to produce 550 sprockets machine b : in 1 hour , b makes 550 / x sprockets machine a : in 1 hour , a makes 550 / ( x + 10 ) sprockets equating : 1.1 ( 550 / ( x + 10 ) ) = 550 / x 605 / ( x + 10 ) = 550 / x 605 x = 550 x + 5500 55 x = 5500 x = 100 a makes 550 / ( 110 ) = 5 sprockets per hour answer : b\"" - }, - { - "Answer": 625, - "Options": "a ) 200 , b ) 325 , c ) 565 , d ) 625 , e ) 700", - "Correct": "d", - "Explanation": "\"total fish = x percentage of second catch = ( 4 / 50 ) * 100 = 8 % so , x * 8 % = 50 x = 625 ans d .\"" - }, - { - "Answer": 5000, - "Options": "a ) a ) 1500 , b ) b ) 2000 , c ) c ) 2500 , d ) d ) 5000 , e ) e ) 3100", - "Correct": "d", - "Explanation": "\"let the number of meters to be examined be x then , 0.04 % of x = 2 ( 4 / 100 ) * ( ( 1 / 100 ) * x = 2 x = 5000 answer is d\"" - }, - { - "Answer": 80, - "Options": "a ) 15 % , b ) 16.66 % , c ) 17.8 % , d ) 80 % , e ) 21 %", - "Correct": "d", - "Explanation": "\"increase = ( 40 / 50 ) * 100 = ( 4 / 5 ) * 100 = 80 % . d\"" - }, - { - "Answer": 937.4999999999999, - "Options": "a ) rs . 150.50 , b ) rs . 937.5 , c ) rs . 156.25 , d ) rs . 158 , e ) none", - "Correct": "b", - "Explanation": "\"solution present worth = rs . [ 1014 / ( 1 + 4 / 100 ) \u00b2 ] = rs . ( 1014 x 25 / 26 x 25 / 26 ) = rs . 937.5 answer b\"" - }, - { - "Answer": 1.6, - "Options": "a ) $ . 90 , b ) $ 1.00 , c ) $ 1.20 , d ) $ 1.50 , e ) $ 1.60", - "Correct": "e", - "Explanation": "\"u dont need to go through all this what u have with u is 100 p + 200 c = $ 8.00 just divide the equation by 5 and you will get what u are looking for 20 p + 40 c = $ 1.60 therefore oa is e\"" - }, - { - "Answer": 309400, - "Options": "a ) 355600 , b ) 355800 , c ) 356500 , d ) 309400 , e ) 357000", - "Correct": "d", - "Explanation": "\"total number of invalid votes = 15 % of 560000 = 15 / 100 \u00d7 560000 = 8400000 / 100 = 84000 total number of valid votes 560000 \u2013 84000 = 476000 percentage of votes polled in favour of candidate a = 65 % therefore , the number of valid votes polled in favour of candidate a = 65 % of 476000 = 65 / 100 \u00d7 476000 = 30940000 / 100 = 309400 d )\"" - }, - { - "Answer": 35, - "Options": "a ) 32 , b ) 33 , c ) 39 , d ) 35 , e ) 42", - "Correct": "d", - "Explanation": "\"cost + profit = sales cost + ( 140 / 100 ) cost = 60 cost = 25 profit = 60 - 25 = 35 answer ( d )\"" - }, - { - "Answer": 20, - "Options": "a ) rs . 30 , b ) rs . 25 , c ) rs . 45 , d ) rs . 20 , e ) rs . 10", - "Correct": "d", - "Explanation": "let the incorrect cost price be c 1 and let the original cost price be c 2 . marked price of book is rs . 30 . it is 20 % more than c 1 . therefore , ( 120 / 100 ) x c 1 = 30 or c 1 = 25 . c 1 is more than c 2 margin of 25 % . or c 1 = ( 125 / 100 ) c 2 therefore , c 2 = ( 100 / 125 ) x 25 = rs 20 answer : d" - }, - { - "Answer": 36100, - "Options": "a ) 24560 , b ) 26450 , c ) 36100 , d ) 38920 , e ) 45200", - "Correct": "c", - "Explanation": "population in 2 years = 40000 ( 1 - 5 / 100 ) ^ 2 = 40000 * 19 * 19 / 20 * 20 = 36100 answer is c" - }, - { - "Answer": 11.200000000000001, - "Options": "a ) $ 10.00 , b ) $ 11.20 , c ) $ 14.40 , d ) $ 16.00 , e ) $ 18.00", - "Correct": "b", - "Explanation": "\"for retail price = $ 20 first maximum discounted price = 20 - 30 % of 20 = 20 - 6 = 14 price after additional discount of 20 % = 14 - 20 % of 14 = 14 - 2.8 = 11.2 answer : option b\"" - }, - { - "Answer": 43, - "Options": "a ) 43 % , b ) 45 % , c ) 50 % , d ) 35 % , e ) 38 %", - "Correct": "a", - "Explanation": "\"suppose enrollment in 1991 was 100 then enrollment in 1992 will be 130 and enrollment in 1993 will be 130 * 1.1 = 143 increase in 1993 from 1991 = 143 - 100 = 43 answer : a\"" - }, - { - "Answer": 4, - "Options": "a ) 8 % , b ) 10 % , c ) 21 % , d ) 15 % , e ) 4 %", - "Correct": "e", - "Explanation": "\"let the price be 100 . the price becomes 130 after a 30 % markup . now a discount of 20 % on 130 . profit = 104 - 100 4 % answer e\"" - }, - { - "Answer": 5845.070422535212, - "Options": "a ) rs . 5725 , b ) rs . 5845 , c ) rs . 6275 , d ) rs . 6725 , e ) none of these", - "Correct": "b", - "Explanation": "cp = sp * ( 100 / ( 100 + profit % ) ) = 8300 ( 100 / 142 ) = rs . 5845 . answer : b" - }, - { - "Answer": 377.6, - "Options": "a ) 198 , b ) 200 , c ) 204 , d ) 378 , e ) 347", - "Correct": "d", - "Explanation": "\"sp = 1.18 * 320 = 378 answer : d\"" - }, - { - "Answer": 10799.99999999999, - "Options": "a ) 2277 , b ) 2667 , c ) 3600 , d ) 9766 , e ) 10800", - "Correct": "e", - "Explanation": "p = 432 ( 100 / 5 ) ^ 2 = > p = 10800 answer : e" - }, - { - "Answer": 18911.749999999996, - "Options": "a ) 18911 , b ) 18788 , c ) 19898 , d ) 14000 , e ) 14400", - "Correct": "a", - "Explanation": "formula : ( after = 100 denominator ago = 100 numerator ) 14300 \u00d7 115 / 100 \u00d7 115 / 100 = 18911 a" - }, - { - "Answer": 1.7450000000000045, - "Options": "a ) 1.745 % , b ) 4.745 % , c ) 3.745 % , d ) 6.745 % , e ) 7.745 %", - "Correct": "a", - "Explanation": "\"let d initial price be 100 33 % rise now price = 133 / 100 * 100 = 133 10 % discount then price = 133 * 90 / 100 = 119.7 15 % discount then price = 119.7 * 85 / 100 = 101.745 so gain = 101.745 - 100 = 1.745 gain % = gain * 100 / cp = = > 1.745 * 100 / 100 = 1.745 % answer : a\"" - }, - { - "Answer": 35, - "Options": "a ) 35 % increase , b ) 44 % decrease , c ) 60 % increase , d ) 66 % increase , e ) 66 % decrease", - "Correct": "a", - "Explanation": "\"if n items are sold for $ p each , revenue is $ np . if we reduce the price by 25 % , the new price is 0.75 p . if we increase the number sold by 80 % , the new number sold is 1.8 n . so the new revenue is ( 0.75 p ) ( 1.8 n ) = 1.35 np , which is 1.35 times the old revenue , so is 35 % greater . answer : a\"" - }, - { - "Answer": 34, - "Options": "a ) 34 % , b ) 24 % , c ) 22 % , d ) 18 % , e ) 8.5 %", - "Correct": "a", - "Explanation": "\"say the second solution ( which was 1 / 4 th of total ) was x % sugar , then 3 / 4 * 0.1 + 1 / 4 * x = 1 * 0.16 - - > x = 0.34 . alternately you can consider total solution to be 100 liters and in this case you ' ll have : 75 * 0.1 + 25 * x = 100 * 0.16 - - > x = 0.34 . answer : a .\"" - }, - { - "Answer": 55.55, - "Options": "a ) $ 30.60 , b ) $ 60.60 , c ) $ 70.60 , d ) $ 55.55 , e ) $ 50.60", - "Correct": "d", - "Explanation": "\"the tip is 20 % of what he paid for lunch . hence tip = 20 % of 50.50 = ( 10 / 100 ) * 50.50 = $ 5.05 total spent 50.50 + 5.05 = $ 55.55 correct answer d\"" - }, - { - "Answer": 480.00000000000006, - "Options": "a ) 420 , b ) 480 , c ) 1050 , d ) 1680 , e ) 2100", - "Correct": "b", - "Explanation": "answer a . we are told that 10 % of all imported widgets are made of brass and of those , 20 % are green and 40 % are red . since we know that there are only three colors , the remaining 40 % must be blue . 40 % blue of 10 % brass widgets leads to 4 % blue brass widgets out of the total 10,550 widgets . 12,000 / 100 * 4 = 480 . answer b ." - }, - { - "Answer": 40, - "Options": "a ) 30 % , b ) 35 % , c ) 40 % , d ) 45 % , e ) 50 %", - "Correct": "c", - "Explanation": "\"the volume of the mixture be x + y . 0.3 x + 0.4 y = 0.36 ( x + y ) x = 2 y / 3 x / ( x + y ) = ( 2 y / 3 ) / ( 5 y / 3 ) = 2 / 5 = 40 % . the answer is c .\"" - }, - { - "Answer": 180, - "Options": "a ) s . 145 , b ) s . 150 , c ) s . 155 , d ) s . 160 , e ) s . 180", - "Correct": "e", - "Explanation": "\"( c . p . of 9 balls ) - ( s . p . of 9 balls ) = ( c . p . of 5 balls ) c . p . of 4 balls = s . p . of 9 balls = rs . 720 . c . p . of 1 ball = rs . 720 / 4 = rs . 180 . answer : option e\"" - }, - { - "Answer": 770, - "Options": "a ) 430 , b ) 450 , c ) 550 , d ) 770 , e ) 660", - "Correct": "d", - "Explanation": "\"cost price = 630 / 90 x 100 = 700 to gain 10 % = 700 x 10 / 100 = 70 sp = cp + gain = 700 + 70 = 770 answer : d\"" - }, - { - "Answer": 2.1438953488372094, - "Options": "a ) $ 1.50 , b ) $ 1.88 , c ) $ 2.14 , d ) $ 2.50 , e ) $ 3.25", - "Correct": "c", - "Explanation": "\"7 regular days - - > sales = 7 * 32 * x = 224 x ; 3 hot days - - > sales = 3 * 32 * ( 1.25 x ) = 120 x ; total sales = 224 x + 120 x = 344 x . total cost = 10 * 32 * 0.75 = 240 . profit = 344 x - 240 = 350 - - > x = 1.715 . 1.25 x = ~ 2.14 . answer : c .\"" - }, - { - "Answer": 3800, - "Options": "a ) rs . 2000 , b ) rs . 600 , c ) rs . 8000 , d ) rs . 3800 , e ) rs . 1200", - "Correct": "d", - "Explanation": "explanation : kavi ' s monthly income = rs . 19,000 he spends 50 % on food . the total money spent on food = 50 / 100 * 19000 = rs . 9500 now , his monthly remaining income = rs . 19000 \u2013 rs . 9500 = rs . 9500 out of rs . 9500 , he saves 40 % . amount saved = 40 / 100 * 9500 = rs . 3800 answer : d" - }, - { - "Answer": 1.2, - "Options": "a ) 1.2 , b ) 1.4 , c ) 2.25 , d ) 3.21 , e ) none", - "Correct": "a", - "Explanation": "\"sol . s . i . = rs . [ 10 * 3 / 100 * 4 ] = rs . 1.20 answer a\"" - }, - { - "Answer": 2, - "Options": "a ) 2 kmph , b ) 6 kmph , c ) 7 kmph , d ) 4 kmph , e ) 9 kmph", - "Correct": "a", - "Explanation": "explanation : ds = 12 us = 8 s = ? s = ( 12 - 8 ) / 2 = 2 kmph answer : a" - }, - { - "Answer": 88.99999999999999, - "Options": "a ) 65 % , b ) 70 % , c ) 75 % , d ) 89 % , e ) 95 %", - "Correct": "d", - "Explanation": "\"find the product of the two increases : ( 1.4 ) * ( 1.35 ) which is 1.89 and a 89 % increase . d\"" - }, - { - "Answer": 44, - "Options": "a ) 22 , b ) 44 , c ) 99 , d ) 88 , e ) 11", - "Correct": "b", - "Explanation": "\"750 - - - - 180 100 - - - - ? = > 44 % answer : b\"" - }, - { - "Answer": 5, - "Options": "a ) 5 , b ) 6 , c ) 18 , d ) can not be determined , e ) none of these", - "Correct": "a", - "Explanation": "\"let rate = r % and time = r years . then , 1200 x r x r / 100 = 300 12 r 2 = 300 r 2 = 25 r = 5 . answer : a\"" - }, - { - "Answer": 60, - "Options": "a ) 60 cm , b ) 90 cm , c ) 100 cm , d ) 120 cm , e ) 130 cm", - "Correct": "a", - "Explanation": "\"when ball comes down , then i have indicated the distance covered in green when ball goes up , then i have indicated the distance covered in red distance travelled uptil the ball touches the floor 3 rd time : h + 0.5 h + 0.5 h + 0.5 * 0.5 h + 0.5 * 0.5 h h + 2 * 0.5 * h + 2 * 0.25 * h = h ( 1 + 2 * 0.5 + 2 * 0.25 ) = h ( 1 + 1 + 0.5 ) = 150 2.5 h = 150 h = 60 . a is the answer .\"" - }, - { - "Answer": 180, - "Options": "a ) 210 , b ) 180 , c ) 360 , d ) 450 , e ) none", - "Correct": "b", - "Explanation": "\"sol . sum = b . d . * t . d . / b . d . - t . d . = rs . [ 90 * 60 / 90 - 60 ] = rs . [ 90 * 60 / 30 ] = rs . 180 answer b\"" - }, - { - "Answer": 90, - "Options": "a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90", - "Correct": "e", - "Explanation": "\"round trip means 2 trips i . e . to and fro . he has completed one i . e 50 % completed . then he traveled another 80 % of 50 % i . e 40 % . so he completed 50 + 40 = 90 % of total trip . e\"" - }, - { - "Answer": 1095, - "Options": "a ) a ) 1000 , b ) b ) 1055 , c ) c ) 1065 , d ) d ) 1075 , e ) e ) 1095", - "Correct": "e", - "Explanation": "\"cost of 8 kg grapes = 75 \u00d7 8 = 600 . cost of 9 kg of mangoes = 55 \u00d7 9 = 495 . total cost he has to pay = 600 + 495 = 1095 . e )\"" - }, - { - "Answer": 75, - "Options": "a ) 80 % , b ) 50 % , c ) 75 % , d ) 40 % , e ) 53 %", - "Correct": "c", - "Explanation": "\"l . c . m of 15 and 12 = 60 cp of 60 articles = rs . 100 ( 25 * 4 ) sp of 60 articles = rs . 175 ( 35 * 5 ) profit percentage = ( 175 - 100 ) / 100 * 100 = 75 % answer : c\"" - }, - { - "Answer": 25, - "Options": "a ) 20 % , b ) 25 % , c ) 18 % , d ) 30 % , e ) none of these", - "Correct": "b", - "Explanation": "\"here , l = 7 and m = 28 therefore , first number = l / m x 100 % of second number = 7 / 28 x 100 % of second number = 25 % of second number answer : b\"" - }, - { - "Answer": 2700, - "Options": "a ) 1500 , b ) 2500 , c ) 2700 , d ) 3200 , e ) 11500", - "Correct": "c", - "Explanation": "p - 2160 = ( p * 5 * 4 ) / 100 p = 2700 answer : c" - }, - { - "Answer": 19.8, - "Options": "a ) 18 , b ) 19.8 , c ) 11 , d ) 17 , e ) 12", - "Correct": "b", - "Explanation": "( 60 / 100 ) * 50 \u2013 ( 34 / 100 ) * 30 30 - 10.2 = 19.8 answer : b" - }, - { - "Answer": 2000, - "Options": "a ) rs . 2000 , b ) rs . 2200 , c ) rs . 2400 , d ) data inadequate , e ) can not be determined", - "Correct": "a", - "Explanation": "\"explanation : let the c . p . of the article be rs . x given that % profit earned by selling article at rs . 1920 = % loss incurred by selling article at rs . 1280 ( 1920 \u2212 x / x ) \u2217 100 = ( x \u2212 1280 / x ) \u2217 100 = > 1920 - x = x - 1280 = > 2 x = 3200 = > x = 1600 s . p . for 25 % profit = rs . 1600 + 25 % of rs . 1600 = rs . 1600 * ( 125 / 100 ) = rs . 2000 answer : a\"" - }, - { - "Answer": 8985, - "Options": "a ) 5768 , b ) 8985 , c ) 2345 , d ) 6474 , e ) 8723", - "Correct": "b", - "Explanation": "\"principal = ( 100 x 4043.25 ) / ( 9 x 5 ) = 404325 / 45 = 8985 . answer b\"" - }, - { - "Answer": 674.9184, - "Options": "a ) 672 , b ) 246 , c ) 258 , d ) 856 , e ) 653", - "Correct": "a", - "Explanation": "\"( 600 * 3 * 4 ) / 100 = 72 600 + 72 = 672 answer : a\"" - }, - { - "Answer": 2.75, - "Options": "a ) 1.5 , b ) 2.5 , c ) 3.5 , d ) 2.75 , e ) 4.5", - "Correct": "d", - "Explanation": "10 grams of combined mixture and 40 % blue pigment means that the mixtures were mixed 50 % each . thus 5 grams a piece . out of the 5 grams of the dark blue paint , 60 % is red . therefore , 5 * . 55 = 2.75 grams of red pigment" - }, - { - "Answer": 50, - "Options": "a ) 80 , b ) 100 , c ) 75 , d ) 50 , e ) none of these", - "Correct": "d", - "Explanation": "\"let the number be x . then 60 % of 3 / 5 of x = 18 60 / 100 * 3 / 5 * x = 18 x = ( 18 * 25 / 9 ) = 50 required number = 50 . correct option : d\"" - }, - { - "Answer": 1612.4999999999993, - "Options": "a ) 1525.2 , b ) 1256.3 , c ) 1612.5 , d ) 1548.5 , e ) 1254.5", - "Correct": "c", - "Explanation": "c . i . = [ 3000 * ( 1 + 15 / 100 ) 2 - 3000 ] = ( 3000 * 23 / 20 * 23 / 20 - 3000 ) = rs . 967.5 . sum = ( 483.75 * 100 ) / ( 5 * 6 ) = rs . 1612.5 answer : c" - }, - { - "Answer": 10, - "Options": "a ) 10 , b ) 12.5 , c ) 25 , d ) 12 , e ) 14.5", - "Correct": "a", - "Explanation": "\"s . i = ( p * r * t ) / 100 80 = 800 r / 100 r = 80 / 8 = 10 % answer a\"" - }, - { - "Answer": 66.66666666666667, - "Options": "a ) 66.67 % , b ) 33.33 % , c ) 40 % , d ) 25 % , e ) 20 %", - "Correct": "a", - "Explanation": "let cost price = x profit = y selling price = x + y 50 y = 20 ( x + y ) 30 y = 20 x percentage profit = y / x \u2217 100 = 20 / 30 \u2217 100 = 66.667 answer = a" - }, - { - "Answer": 240, - "Options": "a ) 240 , b ) 288 , c ) 277 , d ) 877 , e ) 361", - "Correct": "a", - "Explanation": "\"( 3 * 8 + 2 * 4 ) : ( 4 * 8 + 5 * 4 ) 8 : 13 8 / 21 * 630 = 240 answer : a\"" - }, - { - "Answer": 5.000000000000227, - "Options": "a ) $ 5 , b ) $ 15 , c ) $ 50 , d ) $ 100 , e ) $ 105", - "Correct": "a", - "Explanation": "\"compounded annually means that the interest is applied once per year . one can have 10 % annual interest compounded monthly - in this case 10 % / 12 would be applied each month , or 10 % annual interest compounded daily etc . with respect to the problem at hand , at the end of two years , tim would have 1,000 ( 1.10 ) ^ 2 = 1,000 ( 1.21 ) = 1,210 and lana would have 2,000 ( 1.05 ) ^ 2 = 2,000 ( 1.1025 ) = 2,205 thus , tim earned 210 dollars , while lana earned 205 dollars the difference is $ 5 and the answer is a .\"" - }, - { - "Answer": 1.0101010101010102, - "Options": "a ) 1.05 , b ) 1.06 , c ) 1.01 , d ) 1.08 , e ) 1.09", - "Correct": "c", - "Explanation": "\"explanation : ( 100 + g ) / ( 100 + x ) = true measure / faulty measure x = 0 true measure = 1000 faulty measure = 990 100 + g / 100 + 0 = 1000 / 990 100 + g = 100 / 99 * 100 g = 1.01 answer : c\"" - }, - { - "Answer": 65, - "Options": "a ) 25 , b ) 30 , c ) 50 , d ) 55 , e ) 65", - "Correct": "e", - "Explanation": "\"think of 100 people total : from the first fact , 26 of these are women with fair hair . from the second fact , these 20 women make up 40 % of the total fair haired population . we can then make a ratio of 60 : 40 fair haired men to fair haired women . this means that ( 60 / 40 ) * 26 equals the number of fair haired men , which is 39 men with fair hair . add this 39 to the 26 women and get 65 fair haired men and women out of 100 total men and women . 65 % e\"" - }, - { - "Answer": 0.8985507246376812, - "Options": "a ) 1 / 14 , b ) 4 / 49 , c ) 2 / 7 , d ) 62 / 69 , e ) 13 / 14", - "Correct": "d", - "Explanation": "\"16 students are interested , 8 are not interested prob = 1 - 8 c 2 / 24 c 2 = 1 - ( 8 * 7 / ( 24 * 23 ) ) = 1 - 7 / 69 = 62 / 69 answer : d\"" - }, - { - "Answer": 31, - "Options": "a ) 23 % , b ) 25 % , c ) 29 % , d ) 31 % , e ) 36 %", - "Correct": "d", - "Explanation": "\"number of students in group a = 45 students who forget homework in group a = 20 % of 45 = 9 students number of students in group b = 55 students who forget homework in group b = 40 % of 55 = 22 students total number of students = 45 + 55 = 100 students who forgot homework = 9 + 22 = 31 students percentage of students who forget homework = 31 / 100 * 100 = 31 % answer : d\"" - }, - { - "Answer": 18, - "Options": "a ) 27 m , b ) 24 m , c ) 18 m , d ) 21 m , e ) none of these", - "Correct": "c", - "Explanation": "\"let the length and the breadth of the floor be l m and b m respectively . l = b + 200 % of b = l + 2 b = 3 b area of the floor = 324 / 3 = 108 sq m l b = 108 i . e . , l * l / 3 = 108 l 2 = 324 = > l = 18 . answer : c\"" - }, - { - "Answer": 1300, - "Options": "a ) s : 1000 , b ) s : 1067 , c ) s : 1278 , d ) s : 1300 , e ) s : 1027", - "Correct": "d", - "Explanation": "\"90 % 104 % - - - - - - - - 14 % - - - - 182 100 % - - - - ? = > rs : 1300 answer : d\"" - }, - { - "Answer": 45.3125, - "Options": "a ) 16 % , b ) 25 % , c ) 32 % , d ) 45 % , e ) 52 %", - "Correct": "d", - "Explanation": "\"we are asked to find the percentage of females in employed people . total employed people 64 % , out of which 35 are employed males , hence 29 % are employed females . ( employed females ) / ( total employed people ) = 29 / 64 = 45 % answer : d .\"" - }, - { - "Answer": 75, - "Options": "a ) 70 minutes , b ) 72 minutes , c ) 75 minutes , d ) 76 minutes , e ) 77 minutes", - "Correct": "c", - "Explanation": "\"time taken to reach = 3000 / 40 = 75 minutes answer : c\"" - }, - { - "Answer": 1800, - "Options": "a ) 1500 , b ) 1545.6 , c ) 1640.33 , d ) 1800 , e ) none of these", - "Correct": "d", - "Explanation": "\"explanation : let the required number of bottles be x . more machines , more bottles ( direct proportion ) more minutes , more bottles ( direct proportion ) machines 6 : 10 | | : : 270 : x time 1 : 4 | = > 6 * 1 * x = 10 * 4 * 270 = > x = ( 10 * 4 * 270 ) / 6 = > x = 1800 answer : d\"" - }, - { - "Answer": 24.778761061946902, - "Options": "a ) 3.0 , b ) 3.36 , c ) 24.78 , d ) 25.0 , e ) 31.36", - "Correct": "c", - "Explanation": "\"cost price * 1.13 = selling price - - > cost price * 1.13 = $ 28 - - > cost price = $ 24.78 . answer : c .\"" - }, - { - "Answer": 101.47999999999999, - "Options": "a ) 105 , b ) 95 , c ) 80 , d ) 60 , e ) 101", - "Correct": "e", - "Explanation": "final number = initial number + 18 % ( original number ) = 86 + 18 % ( 86 ) = 86 + 15 = 101 . answer e" - }, - { - "Answer": 240, - "Options": "a ) 240 , b ) 10 , c ) 100 , d ) 50 , e ) 20", - "Correct": "a", - "Explanation": "\"20 % of 3000 gives 600 . so 600 attends chess and 40 % of 600 gives 240 so 240 enrolled for swimming answer : a\"" - }, - { - "Answer": 308, - "Options": "a ) 100 , b ) 120 , c ) 200 , d ) 220 , e ) 308", - "Correct": "e", - "Explanation": "\"p = 280 r = 10 % required population of town = p * ( 1 + r / 100 ) ^ t = 280 * ( 1 + 10 / 100 ) = 280 * ( 11 / 10 ) = 308 answer is e\"" - }, - { - "Answer": 3, - "Options": "a ) 0.003 % , b ) 0.03 % , c ) 3 % , d ) 2 % , e ) 30 %", - "Correct": "c", - "Explanation": "\"in 12 days 12 * 0.06 = 0.72 ounces of water evaporated , which is 0.72 / 24 \u00e2 \u02c6 \u2014 100 = 3 of the original amount of water . answer : c .\"" - }, - { - "Answer": 1800, - "Options": "a ) 1800 , b ) 2700 , c ) 2900 , d ) 2200 , e ) 2300", - "Correct": "a", - "Explanation": "\"a number of valid votes = 80 % of 5000 = 4000 . valid votes polled by other candidate = 45 % of 4000 = ( 45 / 100 x 4000 ) = 1800 .\"" - }, - { - "Answer": 1920, - "Options": "a ) 2000 , b ) 2778 , c ) 2299 , d ) 1920 , e ) 2771", - "Correct": "d", - "Explanation": "\"let c . p . be rs . x . then , ( 1920 - x ) / x * 100 = ( x - 1280 ) / x * 100 1920 - x = x - 1280 2 x = 3200 = > x = 1600 required s . p . = 120 % of rs . 1600 = 120 / 100 * 1600 = rs . 1920 . answer : d\"" - }, - { - "Answer": 144, - "Options": "a ) $ 165 , b ) $ 174 , c ) $ 144 , d ) $ 164 , e ) $ 183", - "Correct": "c", - "Explanation": "\"c $ 144 given that sp = $ 102 and loss = 15 % cp = [ 100 ( sp ) ] / ( 100 - l % ) = ( 100 * 102 ) / 85 = 20 * 6 = $ 120 . to get 20 % profit , new sp = [ ( 100 + p % ) cp ] / 100 = ( 120 * 120 ) / 100 = $ 144\"" - }, - { - "Answer": 1200, - "Options": "a ) 226 , b ) 255 , c ) 1200 , d ) 2771 , e ) 332", - "Correct": "c", - "Explanation": "\"cp * ( 76 / 100 ) = 912 cp = 12 * 100 = > cp = 1200 answer : c\"" - }, - { - "Answer": 960, - "Options": "a ) rs . 500 , b ) rs . 600 , c ) rs . 960 , d ) rs . 720 , e ) none", - "Correct": "c", - "Explanation": "\"solution number of shares = ( 14400 / 120 ) = 120 . face value = rs . ( 100 x 120 ) = rs . 12000 . annual income = rs . ( 8 / 100 x 12000 ) = rs . 960 . answer c\"" - }, - { - "Answer": 625, - "Options": "a ) 625 , b ) 700 , c ) 950 , d ) 825 , e ) 630", - "Correct": "a", - "Explanation": "principal = ( 100 * 1500 ) / ( 12 * 20 ) = rs . 625 answer : a" - }, - { - "Answer": 500, - "Options": "a ) 333 , b ) 500 , c ) 887 , d ) 299 , e ) 132", - "Correct": "b", - "Explanation": "explanation : let the total sale be rs . x . then , 2.5 % . of x = 12.50 < = > ( 25 / 100 * 1 / 100 * x ) = 125 / 10 < = > x = 500 . answer : b ) 500" - }, - { - "Answer": 0.47368421052631576, - "Options": "a ) 3 / 5 , b ) 5 / 9 , c ) 1 / 24 , d ) 9 / 19 , e ) 2 / 5", - "Correct": "d", - "Explanation": "an empty wooden vessel weighs 20 % of its total weight when filled with paint : vessel = 0.2 ( vessel + paint ) ; 20 v = v + p ( so the weight of completely filled vessel is 10 v ) p = 19 v ( so the weight of the paint when the vessels is completely filled is 19 v ) . the weight of a partially filled vessel is one half that of a completely filled vessel : v + p ' = 1 / 2 * 20 v ; p ' = 9 v ( so the weight of the paint when the vessels is partially filled is 9 v ) . what fraction of the vessel is filled ? so , we need to find the ratio of the weight of the paint when the vessel iscompletely filledto the weight of the paint when the vessel ispartially filled : p ' / p = 9 v / 19 v = 9 / 19 . answer : d ." - }, - { - "Answer": 10, - "Options": "a ) 39 % , b ) 20 % , c ) 23 % , d ) 74 % , e ) 10 %", - "Correct": "e", - "Explanation": "\"900 - - - - 90 100 - - - - ? = > 10 % answer : e\"" - }, - { - "Answer": 0.45, - "Options": "a ) 0.15 % , b ) 0.45 % , c ) 0.8 % , d ) 1.25 % , e ) 2.0 %", - "Correct": "b", - "Explanation": "\"0.09 * 0.05 = 0.0045 = 0.45 % the answer is b .\"" - }, - { - "Answer": 75, - "Options": "a ) 33 , b ) 75 , c ) 44 , d ) 27 , e ) 91", - "Correct": "b", - "Explanation": "for an income of rs . 8 , investment = rs . 100 . for an income of rs . 6 , investment = rs . 100 x 6 = rs . 75 . 8 market value of rs . 100 stock = rs . 75 . answer : b" - }, - { - "Answer": 28.444444444444443, - "Options": "a ) $ 18.44 , b ) $ 28.44 , c ) $ 48.44 , d ) $ 58.44 , e ) $ 38.44", - "Correct": "b", - "Explanation": "\"let x be the price before the first discount . the price after the first discount is x - 25 % x ( price after first discount ) a second discount of 25 % of the discounted price after which the final price is 16 ( x - 25 % x ) - 25 % ( x - 25 % x ) = 16 solve for x x = $ 28.44 correct answer b\"" - }, - { - "Answer": 1400, - "Options": "a ) 1400 , b ) 1600 , c ) 1800 , d ) 2000 , e ) 2100", - "Correct": "a", - "Explanation": "\"note : majority ( 20 % ) = difference in votes polled to win ( 60 % ) & defeated candidates ( 40 % ) 20 % = 60 % - 40 % 20 % - - - - - > 280 ( 20 \u00d7 14 = 280 ) 100 % - - - - - > 1400 ( 100 \u00d7 14 = 1400 ) a )\"" - }, - { - "Answer": 2140, - "Options": "a ) 2140 , b ) 1140 , c ) 550 , d ) 650 , e ) 750", - "Correct": "a", - "Explanation": "amount earned using her cell phone = 70 * 22 = 1540 earned for remaining surveys = 30 * 20 = 600 total earning = 2140 answer : a" - }, - { - "Answer": 240, - "Options": "a ) s . 486 , b ) s . 455 , c ) s . 240 , d ) s . 480 , e ) s . 489", - "Correct": "c", - "Explanation": "\"sp = 300 cp = ( sp ) * [ 100 / ( 100 + p ) ] = 300 * [ 100 / ( 100 + 25 ) ] = 300 * [ 100 / 125 ] = rs . 240 answer : c\"" - }, - { - "Answer": 5.454545454545458, - "Options": "a ) 3.45 % , b ) 4.45 % , c ) 5.45 % , d ) 6.45 % , e ) 7.45 %", - "Correct": "c", - "Explanation": "\"66 * ( 90 / 100 ) * ( ( 100 - x ) / 100 ) = 56.16 x = 5.45 % answer : c\"" - }, - { - "Answer": 0.39, - "Options": "a ) 0.39 , b ) 0.48 , c ) 0.41 , d ) 0.482 , e ) 0.411", - "Correct": "a", - "Explanation": "\"explanation : probability that a speaks truth is 65 / 100 = 0.65 probability that b speaks truth is 60 / 100 = 0.6 since both a and b are independent of each other so probability of a intersection b is p ( a ) \u00d7 p ( b ) = 0.65 \u00d7 0.6 = 0.39 answer : a\"" - }, - { - "Answer": 5, - "Options": "a ) 20 % , b ) 29 % , c ) 70 % , d ) 27 % , e ) 5 %", - "Correct": "e", - "Explanation": "\"sp 2 = 2 / 3 sp 1 cp = 100 sp 2 = 70 2 / 3 sp 1 = 70 sp 1 = 105 100 - - - 105 = > 5 % answer : e\"" - }, - { - "Answer": 4400, - "Options": "a ) s . 4000 , b ) s . 5000 , c ) s . 4400 , d ) s . 4800 , e ) s . 5800", - "Correct": "c", - "Explanation": "\"ci = 4851 , r = 5 , n = 2 ci = p [ 1 + r / 100 ] ^ 2 = p [ 1 + 5 / 100 ] ^ 2 4851 = p [ 21 / 20 ] ^ 2 4851 [ 20 / 21 ] ^ 2 4400 answer : c\"" - }, - { - "Answer": 192, - "Options": "a ) 190 , b ) 188 , c ) 192 , d ) 145 , e ) 188", - "Correct": "c", - "Explanation": "\"( 1200 * 8 * 2 ) / 100 = > 192 answer : c\"" - }, - { - "Answer": 5, - "Options": "a ) 0.004 % , b ) 0.04 % , c ) 0.40 % , d ) 5 % , e ) 40 %", - "Correct": "d", - "Explanation": "\"total amount of water evaporated each day during a 50 - day period = . 008 * 50 = . 010 * 100 / 2 = 1.0 / 2 = . 5 percent of the original amount of water evaporated during this period = ( . 5 / 10 ) * 100 % = 5 % answer d\"" - }, - { - "Answer": 8, - "Options": "a ) 8 , b ) 76 , c ) 17 , d ) 7 , e ) 77", - "Correct": "a", - "Explanation": "\"80 % - - - 12 120 % - - - ? 80 / 120 * 12 = 8 answer : a\"" - }, - { - "Answer": 14999.999999999996, - "Options": "a ) s . 15000 , b ) s . 15100 , c ) s . 15800 , d ) s . 16000 , e ) s . 16200", - "Correct": "a", - "Explanation": "\"p ( r / 100 ) ^ 2 = c . i - s . i p ( 10 / 100 ) ^ 2 = 150 15000 answer : a\"" - }, - { - "Answer": 5, - "Options": "a ) 3 , b ) 5 , c ) 8 , d ) 9 , e ) 10", - "Correct": "b", - "Explanation": "\"solution speed in still water = 1 / 2 ( 8 + 2 ) km / hr = 5 kmph . answer b\"" - }, - { - "Answer": 1000, - "Options": "a ) 500 , b ) 1000 , c ) 1500 , d ) 2000 , e ) none of these", - "Correct": "b", - "Explanation": "c . p . for one coconut = 150 \u2044 100 = 3 \u2044 2 s . p . for one coconut = 2 profit on one coconut = 2 - 3 \u2044 2 = 1 \u2044 2 \u2234 profit on 2000 coconut = 1 \u2044 2 \u00d7 2000 = 1000 answer b" - }, - { - "Answer": 405, - "Options": "a ) 325 , b ) 345 , c ) 365 , d ) 385 , e ) 405", - "Correct": "e", - "Explanation": "pencil + notebook = 80 notebook + eraser = 115 pencil + eraser = 75 let ' s add all three equations . 2 pencils + 2 notebooks + 2 erasers = 270 cents the cost to buy 3 of each would be ( 3 / 2 ) ( 270 ) = 405 the answer is e ." - }, - { - "Answer": 5.75, - "Options": "a ) 6.25 , b ) 6.5 , c ) 6.75 , d ) 5.75 , e ) 8", - "Correct": "d", - "Explanation": "\"10 overs - run rate = 5.2 runs scored in first 10 overs = 52 remaining overs 40 total runs to be scored = 282 52 runs already scored 282 - 52 = 230 230 runs to be scored in 40 overs let required runrate be x 40 * x = 230 x = 230 / 40 x = 5.75 the required runrate is 5.75 answer : d\"" - }, - { - "Answer": 25, - "Options": "a ) 10 % , b ) 15 % , c ) 25 % , d ) 20 % , e ) 30 %", - "Correct": "c", - "Explanation": "\"c . p . = $ 100 s . p . = $ 125 gain = $ 25 gain % = 25 / 100 * 100 = 25 % answer is c\"" - }, - { - "Answer": 1500, - "Options": "a ) 1500 , b ) 6789 , c ) 1200 , d ) 6151 , e ) 1421", - "Correct": "a", - "Explanation": "\"cp * ( 76 / 100 ) = 1140 cp = 15 * 100 = > cp = 1500 answer : a\"" - }, - { - "Answer": 800, - "Options": "a ) rs . 800 , b ) rs . 1500 , c ) rs . 1000 , d ) rs . 1200 , e ) none of these", - "Correct": "a", - "Explanation": "\"explanation : sp of 1 metre cloth = 8200 / 40 = rs . 205 . cp of 1 metre cloth = rs . 205 \u2013 20 = rs . 185 cp on 40 metres = 185 x 40 = rs . 7400 profit earned on 40 metres cloth = rs . 8200 \u2013 rs . 7400 = rs . 800 . answer : option a\"" - }, - { - "Answer": 36, - "Options": "a ) 18 , b ) 36 , c ) 42 , d ) 68 , e ) 70", - "Correct": "b", - "Explanation": "\"the correct method total = 300 . . 70 % of 300 = 210 got gifts . . 90 did not get gift , out of which 48 are males , so remaining 90 - 36 = 54 are females . . but 40 % females brought gift , so 60 % did not get it . . so 60 % = 54 , 100 % = 54 * 100 / 60 = 90 . . ans 40 % of 90 = 36 b\"" - }, - { - "Answer": 9.565217391304355, - "Options": "a ) 9.33 % , b ) 9.44 % , c ) 9.45 % , d ) 9.56 % , e ) 9.67 %", - "Correct": "d", - "Explanation": "\"69 * ( 90 / 100 ) * ( ( 100 - x ) / 100 ) = 56.16 x = 9.56 % answer : d\"" - }, - { - "Answer": 18, - "Options": "a ) 18 % , b ) 19 % , c ) 68 % , d ) 19 % , e ) 38 %", - "Correct": "a", - "Explanation": "\"1500 - - - - 270 100 - - - - ? = > 18 % answer : a\"" - }, - { - "Answer": 427.5, - "Options": "a ) 427.5 , b ) 277 , c ) 342 , d ) 882 , e ) 212", - "Correct": "a", - "Explanation": "\"500 * ( 90 / 100 ) * ( 95 / 100 ) = 427.5 answer : a\"" - }, - { - "Answer": 40, - "Options": "a ) 30 % , b ) 40 % , c ) 50 % , d ) 60 % , e ) 65 %", - "Correct": "b", - "Explanation": "\"let t be the total number of passengers . let x be the number of people with round trip tickets . 0.2 t had round trip tickets and took their cars . 0.5 x had round trip tickets and took their cars . 0.5 x = 0.2 t x = 0.4 t the answer is b .\"" - }, - { - "Answer": 144, - "Options": "a ) 120 , b ) 132 , c ) 144 , d ) 156 , e ) 168", - "Correct": "c", - "Explanation": "\"44 + 28 + 10 = 82 % 100 \u2013 82 = 18 % 800 * 18 / 100 = 144 the answer is c .\"" - }, - { - "Answer": 9.90990990990991, - "Options": "a ) 10 % , b ) 10.5 % , c ) 9.9 % , d ) 12.5 % , e ) none", - "Correct": "c", - "Explanation": "\"sol . let c . p . = rs . 100 . then , marked price = rs . 110 , s . p . = rs . 99 . \u2234 discount % = [ 11 / 111 * 100 ] % = 9.9 % answer c\"" - }, - { - "Answer": 38.888888888888886, - "Options": "a ) 15 % , b ) 25 % , c ) 38.9 % , d ) 45 % , e ) 35 %", - "Correct": "c", - "Explanation": "\"explanation : 720 - - - 280 100 - - - ? = > 38.9 % answer : c\"" - }, - { - "Answer": 50, - "Options": "a ) 60 , b ) 80 , c ) 70 , d ) 40 , e ) 50", - "Correct": "e", - "Explanation": "machine b produces 100 part in 80 minutes . machine a produces 100 parts twice as fast as b , so machine a produces 100 parts in 80 / 2 = 40 minutes . now , machine a produces 100 parts in 40 minutes which is 100 / 40 = 10 / 4 parts / minute . 10 / 4 parts x a total of 20 minutes = 10 / 4 * 20 = 50 e" - }, - { - "Answer": 15, - "Options": "a ) 65 , b ) 15 , c ) 18 , d ) 16 , e ) 14", - "Correct": "b", - "Explanation": "\"let the length and the breadth of the floor be l m and b m respectively . l = b + 200 % of b = l + 2 b = 3 b area of the floor = 150 / 2 = 75 sq m l b = 75 i . e . , l * l / 3 = 75 l 2 = 225 = > l = 15 answer : b\"" - }, - { - "Answer": 2160, - "Options": "a ) 2800 , b ) 2700 , c ) 2160 , d ) 2200 , e ) 2300", - "Correct": "c", - "Explanation": "\"c number of valid votes = 80 % of 6000 = 4800 . valid votes polled by other candidate = 45 % of 4800 = ( 45 / 100 x 4800 ) = 2160 .\"" - }, - { - "Answer": 66.66666666666666, - "Options": "a ) rs 66.55 , b ) rs 68.55 , c ) rs 69.55 , d ) rs 65.55 , e ) rs 66.66", - "Correct": "e", - "Explanation": "\"explanation : for an income of rs . 9 , investment = rs . 100 . for an income of rs 6 , investment = rs . 100 / 9 x 6 = rs 66.66 market value of rs . 100 stock = rs . 66.66 answer is e\"" - }, - { - "Answer": 12.5, - "Options": "a ) 20 % , b ) 26 % , c ) 42 % , d ) 27 % , e ) 12.5 %", - "Correct": "e", - "Explanation": "\"sp 2 = 2 / 3 sp 1 cp = 100 sp 2 = 75 2 / 3 sp 1 = 75 sp 1 = 112.50 100 - - - 12.5 = > 12.5 % answer : e\"" - }, - { - "Answer": 26.000000000000007, - "Options": "a ) 8 % , b ) 10 % , c ) 11 % , d ) 15 % , e ) 26 %", - "Correct": "e", - "Explanation": "\"explanation : marked price = rs . 30 c . p . = 100 / 140 * 30 = rs . 21.42 sale price = 90 % of rs . 30 = rs . 27 required gain % = 5.57 / 21.42 * 100 = 26 % . answer : e\"" - }, - { - "Answer": 100, - "Options": "a ) a ) 100 , b ) b ) 120 , c ) c ) 250 , d ) d ) 200 , e ) e ) 160", - "Correct": "a", - "Explanation": "\"then , 15 % of x = 15 ( 15 / 100 ) x = 15 x = ( 15 * 100 * ) / 15 = 100 answer is a\"" - }, - { - "Answer": 5201.298701298701, - "Options": "a ) s . 5266 , b ) s . 5269 , c ) s . 5228 , d ) s . 5201 , e ) s . 52192", - "Correct": "d", - "Explanation": "\"explanation : let us assume mr . karan borrowed amount is rs . a . ( the principal ) by formula of simple interest , s . i . = prt / 100 where p = the principal , r = rate of interest as a % , t = time in years s . i . = ( p * 6 * 9 ) / 100 = 54 p / 100 amount = principal + s . i . 8010 = p + ( 54 p / 100 ) 8010 = ( 100 p + 54 p ) / 100 8010 = 154 p / 100 p = ( 8010 * 100 ) / 154 = rs . 5201.298 answer : d\"" - }, - { - "Answer": 2340, - "Options": "a ) 2800 , b ) 2700 , c ) 2900 , d ) 2340 , e ) 2300", - "Correct": "d", - "Explanation": "\"d number of valid votes = 80 % of 6500 = 5200 . valid votes polled by other candidate = 45 % of 5200 = ( 45 / 100 x 5200 ) = 2340 .\"" - }, - { - "Answer": 2000, - "Options": "a ) 1400 , b ) 1300 , c ) 1200 , d ) 2000 , e ) 1500", - "Correct": "d", - "Explanation": "\"cp * ( 75 / 100 ) = 1500 cp = 20 * 100 = > cp = 2000 answer : d\"" - }, - { - "Answer": 199.99999999999983, - "Options": "a ) 50 , b ) 100 , c ) 150 , d ) 200 , e ) 250", - "Correct": "d", - "Explanation": "\"there are 396 managers and 4 others . the 4 others would compose 2 % of the total number of people if there were 200 people in the room . thus 200 managers must leave . the answer is d .\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 2 , b ) 33 , c ) 92 , d ) 96 , e ) 98", - "Correct": "b", - "Explanation": "\"out of 100 pounds 99 % or 99 pounds is water and 1 pound is non - water . after somewaterevaporates the cucumbers become 97 % water and 3 % of non - water , so now 1 pound of non - water composes 3 % of cucucmbers , which means that the new weight of cucumbers is 1 / 0.03 = 34 pounds . answer : b .\"" - }, - { - "Answer": 1.1999999999999993, - "Options": "a ) a . 0.6 , b ) b . 1.2 , c ) c . 2.1 , d ) d . 3 , e ) e . 5.4", - "Correct": "b", - "Explanation": "\"40 % of 6 = 2.4 50 % of 6 = 3 shortage is 0.6 so we need to have 0.6 / 50 % to get 50 % alcohol content . = 1.2 b\"" - }, - { - "Answer": 1839.9999999999998, - "Options": "a ) 2000 , b ) 2778 , c ) 1840 , d ) 2778 , e ) 2771", - "Correct": "c", - "Explanation": "\"let c . p . be rs . x . then , ( 1920 - x ) / x * 100 = ( x - 1280 ) / x * 100 1920 - x = x - 1280 2 x = 3200 = > x = 1600 required s . p . = 115 % of rs . 1600 = 115 / 100 * 1600 = rs . 1840 . answer : c\"" - }, - { - "Answer": 2500.0000000000014, - "Options": "a ) 2333 , b ) 2777 , c ) 2688 , d ) 1000 , e ) 2500", - "Correct": "e", - "Explanation": "\"( x * 5 * 1 ) / 100 + [ ( 2500 - x ) * 6 * 1 ] / 100 = 125 x = 2500 answer : e\"" - }, - { - "Answer": 6825, - "Options": "a ) 6727 , b ) 6825 , c ) 6728 , d ) 6725 , e ) 2871", - "Correct": "b", - "Explanation": "\": cp = sp * ( 100 / ( 100 + profit % ) ) = 8463 ( 100 / 124 ) = rs . 6825 . answer : b\"" - }, - { - "Answer": 440, - "Options": "a ) 320 , b ) 375.2 , c ) 400 , d ) 408.3 , e ) 440", - "Correct": "e", - "Explanation": "the question stem asks us for the distance possible with 10 gallons of fuel at a constant speed of 60 miles per hour . we therefore first calculate the fuel efficiency at that speed . the stem tells us that at 45 miles / hour , the car will run 55 miles / gallon and at 60 miles / hour , that distance decreases by 20 % . we can therefore conclude that the car will travel 44 miles / gallon at a constant speed of 60 miles / gallon . with 10 gallons of fuel , the car can therefore travel 44 miles / gallon * 10 gallons = 440 miles . answer e ." - }, - { - "Answer": 8200, - "Options": "a ) 7900 , b ) 8200 , c ) 8500 , d ) 8800 , e ) 9100", - "Correct": "b", - "Explanation": "\"let the total number of original inhabitants be x . ( 75 / 100 ) * ( 90 / 100 ) * x = 5535 ( 27 / 40 ) * x = 5535 x = 5535 * 40 / 27 = 8200 the answer is b .\"" - }, - { - "Answer": 4.000000000000005, - "Options": "a ) 3 % , b ) 4 % , c ) 7 % , d ) 8 % , e ) 9 %", - "Correct": "b", - "Explanation": "\"explanation : 65 * ( 90 / 100 ) * ( ( 100 - x ) / 100 ) = 56.16 x = 4 % answer : option b\"" - }, - { - "Answer": 33.33333333333333, - "Options": "a ) 15 % , b ) 33.33 % , c ) 17.8 % , d ) 19 % , e ) 21 %", - "Correct": "b", - "Explanation": "\"increase = ( 20 / 60 ) * 100 = ( 1 / 3 ) * 100 = 33.33 % . b\"" - }, - { - "Answer": 875, - "Options": "a ) $ 835 , b ) $ 845 , c ) $ 855 , d ) $ 865 , e ) $ 875", - "Correct": "e", - "Explanation": "\"let x be the cost price . 1.2 x = 1050 x = 1050 / 1.2 = 875 the answer is e .\"" - }, - { - "Answer": 0.42857142857142855, - "Options": "a ) 1 / 5 , b ) 1 / 3 , c ) 2 / 5 , d ) 1 / 2 , e ) 3 / 7", - "Correct": "e", - "Explanation": "let weight of jar filled with beans = 100 g weight of jar = 30 g weight of coffee beans = 70 g weight of jar and remaining beans = 60 g weight of remaining beans = 30 g fraction remaining = 30 / 70 = 3 / 7 answer is e ." - }, - { - "Answer": 1000.0000000000001, - "Options": "a ) 250 , b ) 1000 , c ) 450 , d ) 500 , e ) 520", - "Correct": "b", - "Explanation": "\"formula = total = 100 % , increse = ` ` + ' ' decrease = ` ` - ' ' a number means = 100 % that same number increased by 15 % = 115 % 115 % - - - - - - - > 1150 ( 115 \u00d7 100 = 1150 ) 100 % - - - - - - - > 1000 ( 100 \u00d7 100 = 1000 ) b )\"" - }, - { - "Answer": 136.8421052631579, - "Options": "a ) 140 , b ) 120 , c ) 130 , d ) 136.8 , e ) 150", - "Correct": "d", - "Explanation": "\"let c . p . be $ 100 . then , s . p . = $ 130 let marked price be $ x . then , 95 / 100 x = 130 x = 13000 / 95 = $ 136.8 now , s . p . = $ 136.8 , c . p . = $ 100 profit % = 136.8 % . d\"" - }, - { - "Answer": 300, - "Options": "a ) $ 190 , b ) $ 180 , c ) $ 200 , d ) $ 240 , e ) $ 300", - "Correct": "e", - "Explanation": "\"120 amounts to 180 in 3 years . i . e ( principal + interest ) on 120 in 3 years = 180 120 + 120 * ( r / 100 ) * ( 3 ) = 140 = > r = 50 / 3 150 in 6 years = principal + interest = 300 answer is e .\"" - }, - { - "Answer": 41, - "Options": "a ) 25 , b ) 66 , c ) 18 , d ) 19 , e ) 41", - "Correct": "e", - "Explanation": "\"explanation : dividend on 1 share = ( 20.5 * 50 ) / 100 = rs . 10.25 rs . 25 is income on an investment of rs . 100 rs . 10.25 is income on an investment of rs . ( 10.25 * 100 ) / 25 = rs . 41 answer : e\"" - }, - { - "Answer": 140, - "Options": "a ) 140 , b ) 120 , c ) 130 , d ) 110 , e ) 150", - "Correct": "a", - "Explanation": "\"let c . p . be $ 100 . then , s . p . = $ 133 let marked price be $ x . then , 95 / 100 x = 133 x = 13300 / 95 = $ 140 now , s . p . = $ 140 , c . p . = $ 100 profit % = 40 % . a\"" - }, - { - "Answer": 5, - "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", - "Correct": "c", - "Explanation": "\"swim in still water at = 5 speed of river = 3 us = 5 - 3 = 2 distance = 10 t = 10 / 2 = 5 answer : c\"" - }, - { - "Answer": 29000, - "Options": "a ) 22678 , b ) 26699 , c ) 29000 , d ) 19000 , e ) 26711", - "Correct": "c", - "Explanation": "\"money paid in cash = rs . 1000 balance payment = ( 30000 - 1000 ) = rs . 29000 answer : c\"" - }, - { - "Answer": 43.1, - "Options": "a ) a ) 19.7 , b ) b ) 20 , c ) c ) 43.1 , d ) d ) 21.5 , e ) e ) 22", - "Correct": "c", - "Explanation": "total cost of the items he purchased = rs . 50 given that out of this rs . 50 , 90 paise is given as tax = > total tax incurred = 90 paise = rs . 90 / 100 let the cost of the tax free items = x given that tax rate = 15 % \u2234 ( 50 \u2212 90 / 100 \u2212 x ) 15 / 100 = 90 / 100 \u21d2 15 ( 50 \u2212 0.9 \u2212 x ) = 90 \u21d2 ( 50 \u2212 0.9 \u2212 x ) = 6 \u21d2 x = 50 \u2212 0.9 \u2212 6 = 43.1 c" - }, - { - "Answer": 15000, - "Options": "a ) rs . 45,000 , b ) rs . 50,000 , c ) rs . 60,000 , d ) rs . 15,000 , e ) none", - "Correct": "d", - "Explanation": "solution suppose y invested rs . y then , 5000 / y = 2 / 6 \u00e2 \u20ac \u00b9 = \u00e2 \u20ac \u00ba y = ( 5000 \u00e3 \u2014 6 / 2 ) . \u00e2 \u20ac \u00b9 = \u00e2 \u20ac \u00ba y = 15000 . answer d" - }, - { - "Answer": 81, - "Options": "a ) 72 , b ) 75 , c ) 80 , d ) 81 , e ) 90", - "Correct": "d", - "Explanation": "\"44 + 28 + 10 = 82 % 100 \u2013 82 = 18 % 450 * 18 / 100 = 81 answer : d\"" - }, - { - "Answer": 4087.662935070222, - "Options": "a ) s . 3096 , b ) s . 4076 , c ) s . 4085 , d ) s . 4096 , e ) s . 5096", - "Correct": "b", - "Explanation": "\"principal = [ 4913 / ( 1 + 25 / ( 4 * 100 ) ) 3 ] = 4903 * 16 / 17 * 16 / 17 * 16 / 17 = rs . 4076 . answer : b\"" - }, - { - "Answer": 90, - "Options": "a ) 50 , b ) 34 , c ) 55 , d ) 60 , e ) 90", - "Correct": "e", - "Explanation": "use the elimination method to find the correct option . of all the options only 90 fits 28 % of 90 = 25.2 18 % of 90 = 16.2 25.2 - 16.2 = 7.2 required number is 90 . answer : e" - }, - { - "Answer": 1076.4705882352941, - "Options": "a ) 915 , b ) 1000 , c ) 1076 , d ) 1067 , e ) 1760", - "Correct": "c", - "Explanation": "\"cp * ( 85 / 100 ) = 915 cp = 10.76 * 100 = > cp = 1076 answer : c\"" - }, - { - "Answer": 758, - "Options": "a ) 670 , b ) 664 , c ) 698 , d ) 758 , e ) 700", - "Correct": "d", - "Explanation": "\"since both peter and david invested the same amount of money at the same rate , they would earn same interest per year . david invested for one year more than peter and hence he got interest amount for one more year . interest earned per year = amount received by david - amount received by peter = 854 - 830 = 24 interest earned for 3 years = 24 * 3 = 72 amount invested = 830 - 72 = 758 answer : d\"" - }, - { - "Answer": 450, - "Options": "a ) $ 190 , b ) $ 180 , c ) $ 200 , d ) $ 340 , e ) $ 450", - "Correct": "e", - "Explanation": "\"120 amounts to 240 in 3 years . i . e ( principal + interest ) on 120 in 3 years = 240 120 + 120 * ( r / 100 ) * ( 3 ) = 240 = > r = 100 / 3 150 in 6 years = principal + interest = 150 + 150 * ( r / 100 ) * ( 6 ) = 450 answer is e .\"" - }, - { - "Answer": 1000, - "Options": "a ) a ) 1000 , b ) b ) 1100 , c ) c ) 1200 , d ) d ) 1300 , e ) e ) 1400", - "Correct": "a", - "Explanation": "\"explanation : formula : ( after = 100 denominator ago = 100 numerator ) 1500 * 100 / 120 * 100 / 125 = 1000 answer : option a\"" - }, - { - "Answer": 7, - "Options": "a ) 3 % , b ) 5 % , c ) 7 % , d ) 9 % , e ) 11 %", - "Correct": "c", - "Explanation": "\"1498 - 1400 = 98 is the rate of interest on $ 1400 for one year . the rate of interest = ( 100 * 98 ) / ( 1400 ) = 7 % the answer is c .\"" - }, - { - "Answer": 0.30000000000000004, - "Options": "a ) 0.125 % , b ) 0.3 % , c ) 0.8 % , d ) 1.25 % , e ) 2.0 %", - "Correct": "b", - "Explanation": "\"0.06 * 0.05 = 0.003 = 0.3 % the answer is b .\"" - }, - { - "Answer": 8925, - "Options": "a ) 8925 , b ) 8032.5 , c ) 4462.5 , d ) 8900 , e ) none of these", - "Correct": "a", - "Explanation": "\"let the sums be p . now , 45 % of p = 4016.25 or , p = 8925 answer a\"" - }, - { - "Answer": 22.857142857142847, - "Options": "a ) 23.85 % , b ) 22.85 % , c ) 21.85 % , d ) 20.85 % , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : let the cost price = rs 100 then , marked price = rs 140 required gain = 8 % , so selling price = rs 108 discount = 140 - 108 = 32 discount % = ( 32 / 140 ) * 100 = 22.85 % option b\"" - }, - { - "Answer": 104, - "Options": "a ) 84 , b ) 94 , c ) 104 , d ) 114 , e ) 124", - "Correct": "c", - "Explanation": "\"65 % of 160 = x 0.65 * 160 = x 104 = x answer : c\"" - }, - { - "Answer": 55, - "Options": "a ) 50 % , b ) 53 % , c ) 54 % , d ) 55 % , e ) 57 %", - "Correct": "d", - "Explanation": "\"say there are total of 100 registered voters in that city . thus 60 are democrats and 40 are republicans . 60 * 0.75 = 45 democrats are expected to vote for candidate a ; 40 * 0.25 = 10 republicans are expected to vote for candidate a . thus total of 45 + 10 = 55 registered voters are expected to vote for candidate a , which is 55 % of the total number of registered voters . answer : d .\"" - }, - { - "Answer": 38.666666666666664, - "Options": "a ) 12 % , b ) 39 % , c ) 14 % , d ) 15 % , e ) 16 %", - "Correct": "b", - "Explanation": "\"explanation : suppose he bought 5 kg and 3 kg of tea . cost price = rs . ( 5 x 18 + 3 x 20 ) = rs . 150 . selling price = rs . ( 8 x 26 ) = rs . 208 . profit = 208 - 150 = 58 so , profit % = ( 58 / 150 ) * 100 = 39 % option b\"" - }, - { - "Answer": 200, - "Options": "a ) 100 % , b ) 120 % , c ) 200 % , d ) 150 % , e ) 180 %", - "Correct": "c", - "Explanation": "\"we ' re told that the number of women in a town is equal to 50 % of the number of men in that town . men = 10 women = 5 we ' re asked for the number of men , as a percentage of the number of women . m / w % = 10 / 5 = 200 % answer is c\"" - }, - { - "Answer": 80.00000000000001, - "Options": "a ) 80 % , b ) 105 % , c ) 120 % , d ) 124.2 % , e ) 138 %", - "Correct": "a", - "Explanation": "\"0,08 r = x / 100 * 0.1 r answer a\"" - }, - { - "Answer": 70.23809523809523, - "Options": "a ) 180 % , b ) 120 % , c ) 90 % , d ) 80 % , e ) 70 %", - "Correct": "e", - "Explanation": "let the cp = 100 profit = ( 320 / 100 ) \u00d7 100 = 320 sp = cp + profit = 100 + 320 = 420 if the cost increases by 25 % , new cp = ( 125 / 100 ) \u00d7 100 = 125 selling price is constant , hence new sp = 420 profit = sp \u2013 cp = 420 \u2013 125 = 295 required percentage = ( 295 / 420 ) \u00d7 100 = 2950 / 42 = 1475 / 21 \u2248 70 answer : e" - }, - { - "Answer": 12000, - "Options": "a ) 12000 , b ) 6000 , c ) 8000 , d ) 10000 , e ) none of these", - "Correct": "a", - "Explanation": "total expenditure = 40 + 25 + 15 + 10 = 90 % saving = ( 100 - 90 ) = 10 % 10 / 100 \u00d7 salary = 1200 , salary = 12000 rs . answer : a" - }, - { - "Answer": 12.36, - "Options": "a ) 14.05 % , b ) 14.02 % , c ) 14 % , d ) 13 % , e ) 12.36 %", - "Correct": "e", - "Explanation": "\"percentage error in calculated area = ( 6 + 6 + ( 6 \u00e3 \u2014 6 ) / 100 ) % = 12.36 % answer : e\"" - }, - { - "Answer": 14, - "Options": "a ) 15 , b ) 14 , c ) 13 , d ) 16 , e ) 17", - "Correct": "b", - "Explanation": "( 70 / 100 ) * 120 \u00e2 \u20ac \u201c ( 35 / 100 ) * 200 84 - 70 = 14 answer : b" - }, - { - "Answer": 13.753521126760564, - "Options": "a ) 12.75 , b ) 11.75 , c ) 8.75 , d ) 15.75 , e ) 13.75", - "Correct": "e", - "Explanation": "\"93 % - - - - 21 142 % - - - - ? 93 / 142 * 21 = 13.75 answer : e\"" - }, - { - "Answer": 0.42857142857142855, - "Options": "a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 1 , e ) 3 / 7", - "Correct": "e", - "Explanation": "\"concentration of salt in pure solution = 0 concentration of salt in salt solution = 50 % concentration of salt in the mixed solution = 15 % the pure solution and the salt solution is mixed in the ratio of - - > ( 50 - 15 ) / ( 15 - 0 ) = 7 / 3 1 / x = 7 / 3 x = 3 / 7 answer : e\"" - }, - { - "Answer": 50, - "Options": "a ) 20 % , b ) 40 % , c ) 50 % , d ) 60 % , e ) 80 %", - "Correct": "c", - "Explanation": "\"let t be the total number of passengers . let x be the number of people with round trip tickets . 0.4 t had round trip tickets and took their cars . 0.8 x had round trip tickets and took their cars . 0.8 x = 0.4 t x = 0.5 t the answer is c .\"" - }, - { - "Answer": 23.999999999999996, - "Options": "a ) $ 20 , b ) $ 21 , c ) $ 22 , d ) $ 23 , e ) $ 24", - "Correct": "e", - "Explanation": "let x be the price that buyers see online . the distributor wants to receive 1.2 ( original price ) which should be 80 % of x . 1.2 ( 16 ) = 0.8 x x = 1.2 ( 16 ) / 0.8 = 1.5 ( 16 ) = $ 24 the answer is e ." - }, - { - "Answer": 15000, - "Options": "a ) rs . 15000 , b ) rs . 12000 , c ) rs . 9000 , d ) rs . 6000 , e ) rs . 3000", - "Correct": "a", - "Explanation": "\"sol . saving = [ 100 - ( 40 + 20 + 10 + 10 ] % = 20 % . let the monthly salary be rs . x . then , 20 % of x = 3000 \u00e2 \u2021 \u201d 20 / 100 x = 3000 \u00e2 \u2021 \u201d x = 3000 \u00e3 \u2014 5 = 15000 . answer a\"" - }, - { - "Answer": 6923.076923076923, - "Options": "a ) 4063 , b ) 5325 , c ) 5351 , d ) 6000 , e ) 6923", - "Correct": "e", - "Explanation": "\"interest = 0.09 * 5000 = 0.065 * selling price - - > selling price = 0.09 * 5000 / 0.065 - - > selling price = ~ 6,923 answer : e .\"" - }, - { - "Answer": 1215, - "Options": "a ) a ) 1055 , b ) b ) 1215 , c ) c ) 1065 , d ) d ) 1070 , e ) e ) 1080", - "Correct": "b", - "Explanation": "\"cost of 8 kg grapes = 90 \u00d7 8 = 720 . cost of 9 kg of mangoes = 55 \u00d7 9 = 495 . total cost he has to pay = 720 + 495 = 1215 . b )\"" - }, - { - "Answer": 158, - "Options": "a ) 150 , b ) 120 , c ) 158 , d ) 160 , e ) 210", - "Correct": "c", - "Explanation": "\"125 % of 120 % of a = 237 125 / 100 * 120 / 100 * a = 237 a = 237 * 2 / 3 = 158 . answer c\"" - }, - { - "Answer": 80, - "Options": "a ) 80 % , b ) 50 % , c ) 59 % , d ) 40 % , e ) 53 %", - "Correct": "a", - "Explanation": "\"l . c . m of 15 and 12 = 60 cp of 60 articles = rs . 100 ( 25 * 4 ) sp of 60 articles = rs . 180 ( 36 * 5 ) profit percentage = ( 180 - 100 ) / 100 * 100 = 80 % answer : a\"" - }, - { - "Answer": 79.99999999999999, - "Options": "a ) 40 % , b ) 50 % , c ) 60 % , d ) 80 % , e ) 90 %", - "Correct": "d", - "Explanation": "\"75 % is 5 % - points below 80 % and 20 % - points above 55 % . so the ratio of solution p to solution q is 4 : 1 . mixture p is 4 / 5 = 80 % of the volume of mixture pq . the answer is d .\"" - }, - { - "Answer": 35, - "Options": "a ) 22 , b ) 20 , c ) 35 , d ) 88 , e ) 11", - "Correct": "c", - "Explanation": "\"800 - - - - 180 100 - - - - ? = > 35 % answer : c\"" - }, - { - "Answer": 60.000000000000014, - "Options": "a ) 36 , b ) 42 , c ) 48 , d ) 54 , e ) 60", - "Correct": "e", - "Explanation": "let x be the number of additional games the gambler needs to play . 0.4 ( 30 ) + 0.7 x = 0.6 ( x + 30 ) 0.1 x = 6 x = 60 the answer is e ." - }, - { - "Answer": 720, - "Options": "a ) 191 , b ) 355 , c ) 720 , d ) 840 , e ) 1,560", - "Correct": "c", - "Explanation": "\"let weight of side of beef before processing = x ( 75 / 100 ) * x = 540 = > x = ( 540 * 100 ) / 75 = 720 answer c\"" - }, - { - "Answer": 47, - "Options": "a ) 72 , b ) 47 , c ) 40 , d ) 28 , e ) 20", - "Correct": "b", - "Explanation": "\"940 * ( 30 / 100 ) = 282 - - - - 6 ? - - - - 1 = > rs . 47 answer : b\"" - }, - { - "Answer": 5, - "Options": "a ) 5 , b ) 8 , c ) 7 , d ) 4 , e ) 2", - "Correct": "a", - "Explanation": "\"95 % - - - - 8 152 % - - - - ? 95 / 152 * 8 = 5 answer : a\"" - }, - { - "Answer": 9.89010989010989, - "Options": "a ) 9.89 % , b ) 8.90 % , c ) 9.00 % , d ) 8.00 % , e ) 9.27 %", - "Correct": "a", - "Explanation": "\"sol . sp = rs 100 : then cp = rs 91 : profit = rs 9 . profit = { ( 9 / 91 ) * 100 } % = 9.89 % answer is a .\"" - }, - { - "Answer": 12000.000000000002, - "Options": "a ) rs . 12000 , b ) rs . 13375 , c ) rs . 11750 , d ) rs . 11625 , e ) none of these", - "Correct": "a", - "Explanation": "\"explanation : let the investment of c be rs . x . the inverstment of b = rs . ( 2 x / 3 ) the inverstment of a = rs . ( 3 \u00d7 ( 2 / 3 ) x ) = rs . ( 2 x ) ratio of capitals of a , b and c = 2 x : 2 x / 3 : x = 6 : 2 : 3 c ' s share = rs . [ ( 3 / 11 ) \u00d7 44000 ] = rs . 12000 answer : option a\"" - }, - { - "Answer": 6, - "Options": "a ) $ 6 , b ) $ 8 , c ) $ 10 , d ) $ 12 , e ) $ 14", - "Correct": "a", - "Explanation": "as given , after lost , the remaining 8 crates total cost = $ 40 so , 1 crate cost = 40 / 8 = 5 to get 20 % profit , 1 crate cost should be = 5 + 5 * 20 / 100 = $ 6 answer : a" - }, - { - "Answer": 500, - "Options": "a ) 200 , b ) 300 , c ) 400 , d ) 500 , e ) 600", - "Correct": "d", - "Explanation": "\"formula = total = 100 % , increase = ` ` + ' ' decrease = ` ` - ' ' a number means = 100 % that same number increased by 30 % = 130 % 130 % - - - - - - - > 650 ( 130 \u00e3 \u2014 5 = 650 ) 100 % - - - - - - - > 400 ( 100 \u00e3 \u2014 5 = 500 ) option ' d '\"" - }, - { - "Answer": 9.876543209876543, - "Options": "a ) 15 % , b ) 14.25 % , c ) 9.87 % , d ) 10.5 % , e ) 11.5 %", - "Correct": "c", - "Explanation": "\"the difference between compound interest and simple interest on rs . p for 2 years at r % per annum = ( r \u00e3 \u2014 si ) / ( 2 \u00e3 \u2014 100 ) difference between the compound interest and simple interest = 340 - 324 = 16 ( r \u00e3 \u2014 si ) / ( 2 \u00e3 \u2014 100 ) = 16 ( r \u00e3 \u2014 324 ) / ( 2 \u00e3 \u2014 100 ) = 16 r = 9.87 % answer : option c\"" - }, - { - "Answer": 19618.94, - "Options": "a ) 10000 , b ) 12000 , c ) 19619 , d ) 18989 , e ) 14400", - "Correct": "c", - "Explanation": "\"formula : ( after = 100 denominator ago = 100 numerator ) 13400 \u00d7 121 / 100 \u00d7 121 / 100 = 19619 c\"" - }, - { - "Answer": 9620, - "Options": "a ) 9680 , b ) 2277 , c ) 9620 , d ) 2774 , e ) 1212", - "Correct": "c", - "Explanation": "\"( 7000 * 3 * 2 ) / 100 = 420 9200 - - - - - - - - 9620 answer : c\"" - }, - { - "Answer": 3.5999999999999996, - "Options": "a ) a . 0.6 , b ) b . 1 , c ) c . 2.1 , d ) d . 3.6 , e ) e . 5.4", - "Correct": "d", - "Explanation": "\"20 % of 6 = 1.2 50 % of 6 = 3 shortage is 1.8 so we need to have 1.8 / 50 % to get 50 % alcohol content . = 3.6 d\"" - }, - { - "Answer": 100, - "Options": "a ) 200 , b ) 160 , c ) 100 , d ) 65 , e ) 50", - "Correct": "c", - "Explanation": "\"( 45 / 100 ) z = ( 60 / 100 ) y and y = ( 75 / 100 ) x i . e . y = ( 3 / 4 ) x i . e . ( 45 / 100 ) z = ( 60 / 100 ) * ( 3 / 4 ) x i . e . z = ( 60 * 3 ) x / ( 45 * 4 ) i . e . z = ( 1 ) x = ( 100 / 100 ) x i . e . z is 100 % of x answer : option c\"" - }, - { - "Answer": 80.00000000000001, - "Options": "a ) 80 , b ) 90 , c ) 110 , d ) 120 , e ) 130", - "Correct": "a", - "Explanation": "\"33 1 / 3 % = 1 / 3 1 / 3 \u00d7 240 = 80 a )\"" - }, - { - "Answer": 3, - "Options": "a ) 4 , b ) 5 , c ) 2 , d ) 3 , e ) 1", - "Correct": "d", - "Explanation": "explanation : question of this type looks a bit typical , but it is too simple , as below . . . it will be 15 * 20 / 100 = 3 answer : option d" - }, - { - "Answer": 147, - "Options": "a ) 2287 , b ) 140 , c ) 128 , d ) 797 , e ) 147", - "Correct": "e", - "Explanation": "\"given 30 % ( income ) = 300 \u21d2 \u21d2 income = 1000 after having spent rs . 300 on petrol , he left with rs . 700 . his spending on house rent = 21 % ( 700 ) = rs . 147 answer : e\"" - }, - { - "Answer": 2500, - "Options": "a ) rs . 2500 , b ) rs . 3500 , c ) rs . 1500 , d ) rs . 500 , e ) rs . 2000", - "Correct": "a", - "Explanation": "\"sol . saving = [ 100 - ( 40 + 20 + 10 + 10 ] % = 20 % . let the monthly salary be rs . x . then , 20 % of x = 500 \u00e2 \u2021 \u201d 20 / 100 x = 500 \u00e2 \u2021 \u201d x = 500 \u00e3 \u2014 5 = 2500 . answer a\"" - }, - { - "Answer": 5.000000000000004, - "Options": "a ) 7 % , b ) 62 % , c ) 12 % , d ) 19 % , e ) 5 %", - "Correct": "e", - "Explanation": "\"original price = 100 cp = 70 s = 70 * ( 150 / 100 ) = 105 100 - 105 = 5 % answer : e\"" - }, - { - "Answer": 120.00000000000001, - "Options": "a ) 40 , b ) 60 , c ) 80 , d ) 100 , e ) 120", - "Correct": "e", - "Explanation": "\"the total number of books is 150 . let x be the number of books which were loaned out . 65 % of books that were loaned out are returned . 35 % of books that were loaned out are not returned . now , there are 108 books , thus the number of un - returned books is 150 - 108 = 42 books . 0.35 x = 42 x = 120 the answer is e .\"" - }, - { - "Answer": 720, - "Options": "a ) 1360 , b ) 1450 , c ) 720 , d ) 1800 , e ) none", - "Correct": "c", - "Explanation": "\"sol . sum = s . i . * t . d . / ( s . i ) - ( t . d . ) = 90 * 80 / ( 90 - 80 ) = rs . 720 . answer c\"" - }, - { - "Answer": 0.3333333333333333, - "Options": "a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 1 , e ) 3", - "Correct": "b", - "Explanation": "\"concentration of salt in pure solution = 0 concentration of salt in salt solution = 60 % concentration of salt in the mixed solution = 15 % the pure solution and the salt solution is mixed in the ratio of - - > ( 60 - 15 ) / ( 15 - 0 ) = 3 / 1 1 / x = 3 / 1 x = 1 / 3 answer : b\"" - }, - { - "Answer": 20, - "Options": "a ) $ 10 , b ) $ 16 , c ) $ 20 , d ) $ 24 , e ) $ 25", - "Correct": "c", - "Explanation": "let p be the original price paid by the retailer . 1.25 * p = 100 p = 80 the profit is $ 20 . the answer is c ." - }, - { - "Answer": 75, - "Options": "a ) 16 % , b ) 16.66 % , c ) 76.69 % , d ) 76.98 % , e ) 75 %", - "Correct": "e", - "Explanation": "\"increase = ( 30 / 40 ) * 100 = ( 3 / 4 ) * 100 = 75 % . e\"" - }, - { - "Answer": 50.000000000000014, - "Options": "a ) 50 % , b ) 55 % , c ) 60 % , d ) 65 % , e ) 70 %", - "Correct": "a", - "Explanation": "the rooms which were not rented is 2 / 5 the ac rooms which were not rented is ( 1 / 3 ) * ( 3 / 5 ) = 1 / 5 the percentage of unrented rooms which were ac rooms is ( 1 / 5 ) / ( 2 / 5 ) = 1 / 2 = 50 % the answer is a ." - }, - { - "Answer": 2000.0000000000002, - "Options": "a ) $ 2000 , b ) $ 2100 , c ) $ 2200 , d ) $ 2300 , e ) $ 2400", - "Correct": "a", - "Explanation": "\"let x be the amount of money we started with . 0.7 x = 1400 x = 2000 the answer is a .\"" - }, - { - "Answer": 10, - "Options": "a ) 1 , b ) 10 , c ) 100 , d ) 50 , e ) 20", - "Correct": "b", - "Explanation": "\"10 % of 1000 gives 100 . so 100 attends chess and 10 % of 100 gives 10 . so 10 enrolled for swimming answer : b\"" - }, - { - "Answer": 25, - "Options": "a ) 45 % , b ) 40 % , c ) 35 % , d ) 30 % , e ) 25 %", - "Correct": "e", - "Explanation": "anyway , in this question , there is no discount but the mark up is given as 40 % of the selling price . so it is not 20 % of $ 150 but instead , 20 % of selling price which is obtained by adding mark up to $ 150 . so if selling price is s , 150 + 20 % of s = s s = 150 / 0.8 profit = 150 / 0.8 - 150 = which is calculated on cost price in % terms . so 37.5 / 150 * 100 = 25 % is profit . e" - }, - { - "Answer": 21.000000000000014, - "Options": "a ) 20 % , b ) 21 % , c ) 21.33 % , d ) 22.109 % , e ) 23 %", - "Correct": "b", - "Explanation": "\"lets say the indicated weight is x for $ 10 but the trader actually get 1.1 x for $ 10 now he tells to the customer that its 1.1 ( 1.1 x ) = 1.21 x and charges the price accordingly i . e . 1.21 x * 10 / x = 12.1 so profit % = ( 12.1 - 10 ) / 10 = 0.21 = 21 % answer : b\"" - }, - { - "Answer": 166.66666666666669, - "Options": "a ) 313.2 , b ) 30.1 , c ) 12.24 , d ) none of these , e ) 166.6", - "Correct": "e", - "Explanation": "answer let one - third of 600 is n % of 120 . \u2235 600 / 3 = ( n x 120 ) / 100 \u2234 n = ( 200 x 100 ) / 120 = 166.6 correct option : e" - }, - { - "Answer": 838.4615384615385, - "Options": "a ) 191 , b ) 355 , c ) 737 , d ) 838 , e ) 1,560", - "Correct": "d", - "Explanation": "let weight of side of beef before processing = x ( 65 / 100 ) * x = 545 = > x = ( 545 * 100 ) / 65 = 838 answer d" - }, - { - "Answer": 6, - "Options": "a ) 6 , b ) 9 , c ) 10 , d ) 89 , e ) 81", - "Correct": "a", - "Explanation": "\"75 % - - - 10 125 % - - - ? 75 / 125 * 10 = 6 answer : a\"" - }, - { - "Answer": 131.57894736842107, - "Options": "a ) 131.6 , b ) 120 , c ) 130 , d ) 110 , e ) 150", - "Correct": "a", - "Explanation": "\"let c . p . be $ 100 . then , s . p . = $ 125 let marked price be $ x . then , 95 / 100 x = 125 x = 12500 / 95 = $ 131.6 now , s . p . = $ 131.6 , c . p . = $ 100 profit % = 31.6 % . a\"" - }, - { - "Answer": 59.8, - "Options": "a ) 59.8 % , b ) 23.8 % , c ) 66.5 % , d ) 34.9 % , e ) 43.5 %", - "Correct": "a", - "Explanation": "\"let n be the total number of books sold . hence n = 75 + 50 + 64 + 78 + 135 = 402 let m be the books not sold m = 1000 - n = 1000 - 402 = 598 percentage books not sold / total number of books = 598 / 1000 = 59.8 = 59.8 % correct answer a\"" - }, - { - "Answer": 26.666666666666668, - "Options": "a ) 5 kg , b ) 15 kg , c ) 26.67 kg , d ) 30 kg , e ) none", - "Correct": "c", - "Explanation": "solution : let rs . 100 be spend on rice initially for 20 kg . as the price falls by 20 % , new price for 20 kg rice , = ( 100 - 25 % of 100 ) = 75 new price of rice = 75 / 20 = rs . 3.75 per kg . rice can bought now at = 100 / 3.75 = 26.67 kg . answer : option c" - }, - { - "Answer": 6400, - "Options": "a ) 6400 , b ) 4500 , c ) 5120 , d ) 5230 , e ) 5366", - "Correct": "a", - "Explanation": "\"10000 \u00d7 80 / 100 \u00d7 80 / 100 = 6400 answer : a\"" - }, - { - "Answer": 32, - "Options": "a ) 1 , b ) 8 , c ) 9 , d ) 4 , e ) 32", - "Correct": "e", - "Explanation": "\"96 % - - - - 48 144 % - - - - ? 96 / 144 * 48 = 32 answer : e\"" - }, - { - "Answer": 7.756232686980612, - "Options": "a ) 6 % . , b ) 7.7 % . , c ) 9.2 % . , d ) 10.5 % . , e ) 11 % .", - "Correct": "b", - "Explanation": "\"denominator : 340 + 10 + 4.2 + 6.8 = 361 numerator : 340 ( 1 - . 88 - . 05 ) + 4.2 340 ( 0.07 ) + 4.2 23.8 + 4.2 28 ratio : 28 / 361 = 0.077 answer : b\"" - }, - { - "Answer": 304, - "Options": "a ) 240 , b ) 388 , c ) 379 , d ) 304 , e ) 122", - "Correct": "d", - "Explanation": "\"explanation : ( 3 * 8 + 2 * 4 ) : ( 4 * 8 + 5 * 4 ) 8 : 13 8 / 21 * 798 = 304 answer : d\"" - }, - { - "Answer": 21, - "Options": "a ) 12 , b ) 18 , c ) 20 , d ) 21 , e ) 24", - "Correct": "d", - "Explanation": "\"let the length and the breadth of the floor be l m and b m respectively . l = b + 200 % of b = l + 2 b = 3 b area of the floor = 441 / 3 = 147 sq m l b = 147 i . e . , l * l / 3 = 147 l ^ 2 = 441 = > l = 21 . d\"" - }, - { - "Answer": 5084.745762711865, - "Options": "a ) rs . 6289 , b ) rs . 6298 , c ) rs . 6290 , d ) rs . 5084 , e ) rs . 6708", - "Correct": "d", - "Explanation": "\"cp = sp * ( 100 / ( 100 + profit % ) ) = 6000 ( 100 / 118 ) = rs . 5084 . answer : d\"" - }, - { - "Answer": 700.0000000000001, - "Options": "a ) $ 410 , b ) $ 500 , c ) $ 650 , d ) $ 700 , e ) $ 1000", - "Correct": "d", - "Explanation": "\"p = $ 10000 r = 7 % t = 12 / 12 years = 1 year s . i . = p * r * t / 100 = 10000 * 7 * 1 / 100 = $ 700 answer is d\"" - }, - { - "Answer": 27.5, - "Options": "a ) 27.5 % , b ) 30 % , c ) 35 % , d ) 37.5 % , e ) 40 %", - "Correct": "a", - "Explanation": "assume the total price = 100 x price after 20 % markup = 120 x price after 25 % further markup = 1.25 * 120 x = 150 x price after the discount = 0.85 * 150 x = 127.5 x hence total profit = 27.5 % option a" - }, - { - "Answer": 62.5, - "Options": "a ) 5 % , b ) 62.5 % , c ) 33 % , d ) 35 % , e ) 38 %", - "Correct": "b", - "Explanation": "\"profit in 1995 - 100 profit in 1996 - 125 % increae profit in 1997 in comparison to 1995 = 25 + 125 * 30 % = 62.5 correct option : b\"" - }, - { - "Answer": 3200.000000000001, - "Options": "a ) 2777 , b ) 2987 , c ) 3200 , d ) 9977 , e ) 1671", - "Correct": "c", - "Explanation": "\"cp * ( 10 / 100 ) = 320 cp = 32 * 100 = > cp = 3200 answer : c\"" - }, - { - "Answer": 52, - "Options": "a ) 62 % , b ) 57 % , c ) 52 % , d ) 22 % , e ) 42 %", - "Correct": "c", - "Explanation": "total = 100 t = 40 nt = 60 40 * ( 60 / 100 ) = 24 60 * ( 40 / 100 ) = 24 24 + 24 = 48 = > 100 - 48 = 52 % answer : c" - }, - { - "Answer": 1235, - "Options": "a ) a ) 1235 , b ) b ) 1055 , c ) c ) 1065 , d ) d ) 1075 , e ) e ) 1080", - "Correct": "a", - "Explanation": "\"cost of 8 kg grapes = 70 \u00d7 8 = 560 . cost of 9 kg of mangoes = 75 \u00d7 9 = 675 . total cost he has to pay = 560 + 675 = 1235 . a )\"" - }, - { - "Answer": 60, - "Options": "a ) 30 liters , b ) 50 liters , c ) 60 liters , d ) 70 liters , e ) 80 liters", - "Correct": "c", - "Explanation": "\"acid in 20 liters = 80 % of 20 = 16 liters suppose x liters of water be added . then 16 liters of acid in 20 + x liters of diluted solution 20 % of 20 + x = 16 20 + x = 80 x = 60 liters answer is c\"" - }, - { - "Answer": 1500, - "Options": "a ) rs . 1500 , b ) rs . 890 , c ) rs . 895 , d ) rs . 900 , e ) none", - "Correct": "a", - "Explanation": "\"let p = principal a - amount we have a = p ( 1 + r / 100 ) 3 and ci = a - p atq 993 = p ( 1 + r / 100 ) 3 - p ? p = 3000 / - now si @ 10 % on 3000 / - for 5 yrs = ( 3000 x 10 x 5 ) / 100 = 1500 / - answer : a .\"" - }, - { - "Answer": 1812.5, - "Options": "a ) 3000 , b ) 1812.5 , c ) 2000 , d ) 5600 , e ) 3400", - "Correct": "b", - "Explanation": "\"c . p . be rs . x . then , ( 1620 - x ) / x * 100 = ( x - 1280 ) / x * 100 1620 - x = x - 1280 2 x = 2900 = > x = 1450 required s . p . = 125 % of rs . 1450 = 125 / 100 * 1450 = rs . 1812.5 . answer b\"" - }, - { - "Answer": 90.00000000000003, - "Options": "a ) rs . 70 , b ) rs . 80 , c ) rs . 90 , d ) rs . 100 , e ) none", - "Correct": "c", - "Explanation": "solution : 1 st method : let the original price of tea be rs . x / kg . after reduction the price becomes = x - 10 % of x = 9 x / 10 per kg . now , ( 22500 / ( 9 x / 10 ) ) - 22500 / x = 25 or , 22500 [ 10 / 9 x - 1 / x ] = 25 or , 25 * 9 x = 22500 ; or , x = ( 22500 / 2589 ) = rs . 100 . hence , new price = 90 per kg . thought process method : let the original price be rs . 100 per kg , he get tea = 22500 / 100 = 225 kg . after reduction the price becomes = 90 per kg , he get tea = 22500 / 90 = 250 kg . so , reduction price is rs . 90 per kg as it enables him to buy 25 kg of more tea . answer : option c" - }, - { - "Answer": 26250, - "Options": "a ) 5363 , b ) 26250 , c ) 28678 , d ) 29002 , e ) 2732", - "Correct": "b", - "Explanation": "\"to obtain rs . 10 , investment = rs . 210 . to obtain rs . 1250 , investment = = rs . 26250 . answer : b\"" - }, - { - "Answer": 88.2, - "Options": "a ) 92.5 % , b ) 88.2 % , c ) 85.2 % , d ) 96.8 % , e ) 78.9 %", - "Correct": "b", - "Explanation": "\"total number of fruits shopkeeper bought = 600 + 400 = 1000 number of rotten oranges = 15 % of 600 = 15 / 100 \u00d7 600 = 9000 / 100 = 90 number of rotten bananas = 7 % of 400 = 28 therefore , total number of rotten fruits = 90 + 28 = 118 therefore number of fruits in good condition = 1000 - 118 = 882 therefore percentage of fruits in good condition = ( 882 / 1000 \u00d7 100 ) % = ( 88200 / 1000 ) % = 88.2 % answer : b\"" - }, - { - "Answer": 330, - "Options": "a ) $ 270 , b ) $ 290 , c ) $ 310 , d ) $ 330 , e ) $ 350", - "Correct": "d", - "Explanation": "\"let the money sandy took for shopping be x . 0.7 x = 231 x = 330 the answer is d .\"" - }, - { - "Answer": 3720, - "Options": "a ) 3630 , b ) 2881 , c ) 3720 , d ) 9977 , e ) 2212", - "Correct": "c", - "Explanation": "\"6300 : 4200 : 10500 3 : 2 : 5 3 / 10 * 12400 = 3720 . answer : c\"" - }, - { - "Answer": 466.6666666666667, - "Options": "a ) 0.35 , b ) 466 , c ) 35 , d ) 350 , e ) 3500", - "Correct": "b", - "Explanation": "\"imo answer should be 350 . . . consider j = 10 , then k = 50 , l = 150 and m = 350 . . . . 20 % of 350 , comes out to be 70 . . . . 150 % of 10 is 15 . . . . ( 70 * 100 ) / 15 = 466.66 . . . . ans : b\"" - }, - { - "Answer": 16, - "Options": "a ) 13 , b ) 14 , c ) 15 , d ) 16 , e ) 17", - "Correct": "d", - "Explanation": "\"explanation : let the cost price of one article = rs . 1 cp of x articles = rs . x cp of 20 articles = 20 selling price of x articles = 20 profit = 25 % [ given ] \u21d2 ( sp \u2212 cp / cp ) = 25 / 100 = 1 / 4 \u21d2 ( 20 \u2212 x ) / x = 1 / 4 \u21d2 80 \u2212 4 x = x \u21d2 5 x = 80 option d \u21d2 x = 805 = 16\"" - }, - { - "Answer": 10.25, - "Options": "a ) 4.05 % , b ) 4.02 % , c ) 4 % , d ) 10.28 % , e ) 2 %", - "Correct": "d", - "Explanation": "\"percentage error in calculated area = ( 5 + 5 + ( 5 \u00e3 \u2014 5 ) / 100 ) % = 10.25 % answer : d\"" - }, - { - "Answer": 352, - "Options": "a ) s . 429 , b ) s . 352 , c ) s . 429 , d ) s . 128 , e ) s . 419", - "Correct": "b", - "Explanation": "\"sp = 800 profit = 25 % cp = ( sp ) * [ 100 / ( 100 + p ) ] = 800 * [ 100 / 125 ] = 640 loss = 45 % = 45 % of 640 = rs . 288 sp = cp - loss = 640 - 288 = rs . 352 answer : b\"" - }, - { - "Answer": 576, - "Options": "a ) $ 503 , b ) $ 504 , c ) $ 555 , d ) $ 576 , e ) $ 587", - "Correct": "d", - "Explanation": "\"explanation : cash price = $ 24 000 deposit = 10 % \u00e3 \u2014 $ 24 000 = $ 2400 loan amount = $ 24000 \u00e2 \u02c6 \u2019 $ 2400 number of payments = 60 = $ 21600 i = p * r * t / 100 i = 12960 total amount = 21600 + 12960 = $ 34560 regular payment = total amount / number of payments = 576 answer : d\"" - }, - { - "Answer": 40, - "Options": "a ) 25 % , b ) 30 % , c ) 35 % , d ) 40 % , e ) 45 %", - "Correct": "d", - "Explanation": "\"the percent of the population who are employed females is 70 - 42 = 28 % the percent of employed people who are female is 28 % / 70 % = 40 % . the answer is d .\"" - }, - { - "Answer": 416, - "Options": "a ) 216 , b ) 316 , c ) 616 , d ) 516 , e ) 416", - "Correct": "e", - "Explanation": "\"formula = total = 100 % , increase = ` ` + ' ' decrease = ` ` - ' ' a number means = 100 % that same number increased by 25 % = 125 % 125 % - - - - - - - > 520 ( 120 \u00e3 \u2014 4.16 = 520 ) 100 % - - - - - - - > 416 ( 100 \u00e3 \u2014 4.16 = 416 ) option ' e '\"" - }, - { - "Answer": 900, - "Options": "a ) $ 600 , b ) $ 740 , c ) $ 850 , d ) $ 900 , e ) $ 1,140", - "Correct": "d", - "Explanation": "\"price of 1 ticket = 20 $ revenue generated from sales of first 10 tickets = 10 * ( 60 / 100 * 20 ) = 10 * 12 = 120 revenue generated from sales of next 20 tickets = 20 * ( 85 / 100 * 20 ) = 20 * 17 = 340 revenue generated from sales of last 22 tickets = 20 * 22 = 440 revenue generated from sales of 52 tickets = 120 + 340 + 440 = 900 $ answer d\"" - }, - { - "Answer": 80, - "Options": "a ) 76 % , b ) 77 % , c ) 78 % , d ) 79 % , e ) 80 %", - "Correct": "e", - "Explanation": "\"this question is a weighted average question with a series of dependent variables . the remaining portion of the class represents 100 % - 30 % - 50 % = 20 % of the class converting the portions of the class population to decimal weights , we find : class average = 0.30 x 95 + 0.50 x 79 + 0.20 x 60 = 80 the class average ( rounded ) is 80 % final answer e ) 80 %\"" - }, - { - "Answer": 8, - "Options": "a ) 1 kmph , b ) 4 kmph , c ) 5 kmph , d ) 7 kmph , e ) 8 kmph", - "Correct": "e", - "Explanation": "\"ds = 30 us = 14 s = ? s = ( 30 - 14 ) / 2 = 8 kmph answer : e\"" - }, - { - "Answer": 315.25000000000045, - "Options": "a ) rs . 473 , b ) rs . 374 , c ) rs . 495 , d ) rs . 315 , e ) none of the above", - "Correct": "d", - "Explanation": "\"10 % interest per annum will be 5 % interest half yearly for 3 terms ( 1 1 / 2 years ) so compound interest = 2000 [ 1 + ( 5 / 100 ) ] ^ 3 - 2000 = 2000 [ ( 21 / 20 ) ^ 3 - 1 ] = 2000 ( 9261 - 8000 ) / 8000 = 2 * 1261 / 8 = 315 answer : d\"" - }, - { - "Answer": 2, - "Options": "a ) 9 , b ) 5 , c ) 6 , d ) 2 , e ) 4", - "Correct": "d", - "Explanation": "\"i find it much easier to understand with real numbers , so choose ( almost ) any numbers to replace m , n and p : in a certain village , m 200 litres of water are required per household per month . at this rate , if there aren 5 households in the village , how long ( in months ) willp 2000 litres of water last ? water required is 200 * 5 = 1000 ( m * n ) water available is 2000 ( p ) it will last 2 months ( p / m * n ) ans : d\"" - }, - { - "Answer": 1067, - "Options": "a ) rs . 1020.80 , b ) rs . 1025 , c ) rs . 1067 , d ) data inadequate , e ) none of these", - "Correct": "c", - "Explanation": "\"solution s . i . = rs . ( 956 - 925 ) = rs . 31 rate = ( 100 x 31 / 925 x 3 ) = 124 / 111 % new rate = ( 124 / 111 + 4 ) % = 568 / 111 % new s . i . = rs . ( 925 x 568 / 111 x 3 / 100 ) rs . 142 \u2234 new amount = rs . ( 925 + 142 ) = rs . 1067 . answer c\"" - }, - { - "Answer": 2, - "Options": "a ) 1 : 4 , b ) 4 : 3 , c ) 6 : 7 , d ) 3 : 5 , e ) 2 : 1", - "Correct": "e", - "Explanation": "expl : 15 % of a i = 30 % of b = 15 a / 100 = 30 b / 100 = 2 / 1 = 2 : 1 answer : e" - }, - { - "Answer": 150, - "Options": "a ) 150 , b ) 120 , c ) 130 , d ) 160 , e ) 210", - "Correct": "a", - "Explanation": "\"a 150 125 % of 120 % of a = 225 125 / 100 * 120 / 100 * a = 225 a = 225 * 2 / 3 = 150 .\"" - }, - { - "Answer": 1999.9999999999998, - "Options": "a ) 2299 , b ) 2000 , c ) 2670 , d ) 6725 , e ) 2601", - "Correct": "b", - "Explanation": "\"cp = sp * ( 100 / ( 100 + profit % ) ) = 2200 ( 100 / 110 ) = rs . 2000 answer : b\"" - }, - { - "Answer": 34, - "Options": "a ) 24 % , b ) 34 % , c ) 22 % , d ) 18 % , e ) 8.5 %", - "Correct": "b", - "Explanation": "\"say the second solution ( which was 1 / 4 th of total ) was x % salt , then 3 / 4 * 0.1 + 1 / 4 * x = 1 * 0.16 - - > x = 0.34 . alternately you can consider total solution to be 100 liters and in this case you ' ll have : 75 * 0.1 + 25 * x = 100 * 0.16 - - > x = 0.34 . answer : b .\"" - }, - { - "Answer": 678, - "Options": "a ) 670 , b ) 683 , c ) 698 , d ) 744 , e ) 700", - "Correct": "b", - "Explanation": "since both peter and david invested the same amount of money at the same rate , they would earn same interest per year . david invested for one year more than peter and hence he got interest amount for one more year . interest earned per year = amount received by david - amount received by peter = 854 - 810 = 44 interest earned for 3 years = 44 * 3 = 132 amount invested = 815 - 132 = 683 answer : b" - }, - { - "Answer": 55, - "Options": "a ) 55 , b ) 40 , c ) 50 , d ) 60 , e ) 65", - "Correct": "a", - "Explanation": "\"a hostel had provisions for 250 men for 44 days if 50 men leaves the hostel , remaining men = 250 - 50 = 200 we need to find out how long the food will last for these 200 men . let the required number of days = x days more men , less days ( indirect proportion ) ( men ) 250 : 200 : : x : 44 250 \u00d7 44 = 200 x 5 \u00d7 44 = 4 x x = 5 \u00d7 11 = 55 answer a\"" - }, - { - "Answer": 6725, - "Options": "a ) rs . 6825 , b ) rs . 6721 , c ) rs . 6725 . , d ) rs . 4298 , e ) rs . 6729", - "Correct": "c", - "Explanation": "\"cp = sp * ( 100 / ( 100 + profit % ) ) = 8339 ( 100 / 124 ) = rs . 6725 . answer : c\"" - }, - { - "Answer": 1058, - "Options": "a ) rs . 1020.80 , b ) rs . 1025 , c ) rs . 1058 , d ) data inadequate , e ) none of these", - "Correct": "c", - "Explanation": "\"solution s . i . = rs . ( 956 - 850 ) = rs . 106 rate = ( 100 x 106 / 850 x 3 ) = 212 / 51 % new rate = ( 212 / 51 + 4 ) % = 416 / 51 % new s . i . = rs . ( 850 x 416 / 51 x 3 / 100 ) rs . 208 . \u2234 new amount = rs . ( 850 + 208 ) = rs . 1058 . answer c\"" - }, - { - "Answer": 32.5, - "Options": "a ) 28 % , b ) 30 % , c ) 32.5 % , d ) 36 % , e ) 72 %", - "Correct": "c", - "Explanation": "\"let the initial value of baseball card = 100 after first year , value of baseball card = ( 1 - 25 / 100 ) * 100 = 75 after second year , value of baseball card = ( 1 - 10 / 100 ) * 75 = 67.5 total percent decrease of the card ' s value over the two years = ( 100 - 67.5 ) / 100 * 100 % = 31.5 % answer c\"" - }, - { - "Answer": 78.57142857142858, - "Options": "a ) 50 % , b ) 60 % , c ) 70 % , d ) 75 % , e ) 78 + ( 4 / 7 ) %", - "Correct": "e", - "Explanation": "\"given cash discount - 16 % profit - 25 % items sold - 60 price sold at = list price of 50 assume list price = $ 10 total invoice = $ 500 - 16 % cash discount = $ 420 let cost price of 60 items be x so total cost = 60 * x given the shopkeeper had a profit of 25 % 60 * x * 125 / 100 = 420 or x = $ 7 * 4 / 5 = $ 28 / 5 which means his products were listed at $ 10 which is a 78 + ( 4 / 7 ) % markup over $ 28 / 5 answer e\"" - }, - { - "Answer": 6720, - "Options": "a ) rs . 5725 , b ) rs . 5275 , c ) rs . 6275 , d ) rs . 6720 , e ) none of these", - "Correct": "d", - "Explanation": "\"cp = sp * ( 100 / ( 100 + profit % ) ) = 8400 ( 100 / 125 ) = rs . 6720 . answer : d\"" - }, - { - "Answer": 7, - "Options": "a ) 3.6 , b ) 7 , c ) 18 , d ) can not be determined , e ) none of these", - "Correct": "b", - "Explanation": "\"let rate = r % and time = r years . then , 1200 x r x r / 100 = 588 12 r 2 = 588 r 2 = 49 r = 7 . answer : b\"" - }, - { - "Answer": 3.2, - "Options": "a ) 1.2 , b ) 2.2 , c ) 3.2 , d ) 4.2 , e ) 5", - "Correct": "c", - "Explanation": "\"40 * ( 40 / 100 ) = 16 - - - 60 ? - - - 12 = > rs . 3.2 answer : c\"" - }, - { - "Answer": 2.559999999999996, - "Options": "a ) 2 % , b ) 2.56 % , c ) 3.12 % , d ) 4.65 % , e ) 5.12 %", - "Correct": "b", - "Explanation": "\"in such a case there is always a loss loss % = ( 16 / 10 ) ^ 2 = 64 / 25 = 2.56 % answer is b\"" - }, - { - "Answer": 7500, - "Options": "a ) 7450 , b ) 7500 , c ) 7400 , d ) 7500 , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : cost price = 1500 / ( 0.10 + 0.10 ) = 1500 / 0.20 = rs . 7500 answer b\"" - }, - { - "Answer": 600, - "Options": "a ) 289 , b ) 231 , c ) 200 , d ) 288 , e ) 600", - "Correct": "e", - "Explanation": "\"explanation : let c . p . be rs . x . then , 5 % of x = 350 - 320 = 30 x / 20 = 30 = > x = 600 answer : e\"" - }, - { - "Answer": 800, - "Options": "a ) 700 , b ) 800 , c ) 900 , d ) 1000 , e ) 1100", - "Correct": "b", - "Explanation": "\"p - 480 = ( p * 5 * 8 ) / 100 p = 800 the answer is b .\"" - }, - { - "Answer": 525, - "Options": "a ) 0.35 , b ) 3.5 , c ) 525 , d ) 350 , e ) 3500", - "Correct": "c", - "Explanation": "\"imo answer should be 350 . . . consider j = 10 , then k = 50 , l = 150 and m = 350 . . . . 30 % of 350 , comes out to be 105 . . . . 200 % of 10 is 20 . . . . ( 105 * 100 ) / 20 = 525 . . . . ans : c\"" - }, - { - "Answer": 30, - "Options": "a ) 25 % , b ) 30 % , c ) 35 % , d ) 40 % , e ) 45 %", - "Correct": "b", - "Explanation": "\"500 - - - 150 100 - - - ? = > 30 % answer : b\"" - }, - { - "Answer": 27500, - "Options": "a ) rs . 2000 , b ) rs . 27500 , c ) rs . 15000 , d ) rs . 20000 , e ) none of these", - "Correct": "b", - "Explanation": "\"explanation : principal = rs . ( 100 \u00d7 9900 / 12 \u00d7 3 ) = > rs . 27500 . answer : b\"" - }, - { - "Answer": 4.166666666666666, - "Options": "a ) 4.17 % , b ) 5 % , c ) 6.12 % , d ) 3.25 % , e ) 5.75 %", - "Correct": "a", - "Explanation": "\"let s . p . = $ 100 c . p . = $ 96 profit = $ 4 profit % = 4 / 96 * 100 = 25 / 6 = 4.17 % answer is a\"" - }, - { - "Answer": 15, - "Options": "a ) 1 % , b ) 5 % , c ) 10 % , d ) 15 % , e ) 20 %", - "Correct": "d", - "Explanation": "5000 - - - 750 100 - - - ? = > 15 % answer : d" - }, - { - "Answer": 1000, - "Options": "a ) rs . 1000 , b ) rs . 1100 , c ) rs . 1200 , d ) rs . 1250 , e ) rs . 1500", - "Correct": "a", - "Explanation": "\"explanation : 90 % 104 % - - - - - - - - 14 % - - - - 140 100 % - - - - ? = > rs . 1000 a )\"" - }, - { - "Answer": 31.666666666666664, - "Options": "a ) 32.5 % , b ) 34 % , c ) 35 % , d ) 31.67 % , e ) 37.5 %", - "Correct": "d", - "Explanation": "\"say morks income is - 100 so tax paid will be 40 say mindys income is 5 * 100 = 500 so tax paid is 30 % * 500 = 150 total tax paid = 40 + 150 = 190 . combined tax % will be 190 / 100 + 500 = 31.67 %\"" - }, - { - "Answer": 8.695652173913038, - "Options": "a ) 5.26 % , b ) 5.36 % , c ) 4.26 % , d ) 6.26 % , e ) 8.69 %", - "Correct": "e", - "Explanation": "\"his percentage gain is 100 * 80 / 920 as he is gaining 80 units for his purchase of 920 units . so 8.69 % . answer : e\"" - }, - { - "Answer": 14, - "Options": "a ) $ 14.00 , b ) $ 11.20 , c ) $ 14.40 , d ) $ 16.00 , e ) $ 18.00", - "Correct": "a", - "Explanation": "\"for retail price = $ 25 first maximum discounted price = 25 - 30 % of 25 = 25 - 7.5 = 17.5 price after additional discount of 20 % = 17.5 - 20 % of 17.5 = 17.5 - 3.5 = 14 answer : option a\"" - }, - { - "Answer": 11.11111111111111, - "Options": "a ) 9 % , b ) 10 % , c ) 11 % , d ) 15 % , e ) 90 %", - "Correct": "c", - "Explanation": "\"assume the price = 100 price during sale = 90 price after sale = 100 percent increase = 10 / 90 * 100 = 11 % approx . correct option : c\"" - }, - { - "Answer": 2.2222222222222223, - "Options": "a ) 40 , b ) 30 / 11 , c ) 20 / 9 , d ) 27 / 11 , e ) 29 / 8", - "Correct": "c", - "Explanation": "\"cp = 135 * 15 = 2025 and sp = 115 * 18 = 2070 gain % = 100 * ( 2070 - 2025 ) / 2025 = 20 / 9 answer : c\"" - }, - { - "Answer": 2000, - "Options": "a ) 400 , b ) 625 , c ) 1,250 , d ) 2,000 , e ) 10,000", - "Correct": "d", - "Explanation": "this is a rather straight forward ratio problem . 1 . 80 fish tagged 2 . 2 out of the 50 fish caught were tagged thus 2 / 50 2 / 50 = 80 / x thus , x = 2000 think of the analogy : 2 fish is to 50 fish as 50 fish is to . . . ? you ' ve tagged 50 fish and you need to find what that comprises as a percentage of the total fish population - we have that information with the ratio of the second catch . d" - }, - { - "Answer": 28, - "Options": "a ) 14 , b ) 28 , c ) 21 , d ) 35 , e ) none of these", - "Correct": "b", - "Explanation": "explanation : solution : let the required number of carpets be x . more weavers , more carpets ( direct proportion ) more days , more carpets ( direct proportion ) weavers 7 : 14 } : : 7 : x days 7 : 14 . ' . 7 * 7 * x = 14 * 14 * 7 < = > x = 14 * 14 * 7 / 7 * 7 = 28 . answer : b" - }, - { - "Answer": 3.1818181818181817, - "Options": "a ) 3.2 , b ) 3.75 , c ) 4 , d ) 4.25 , e ) 4.5", - "Correct": "a", - "Explanation": "( 1000 xtx 4 / 100 ) + ( 1400 xtx 5 / 100 ) = 350 \u00e2 \u2020 \u2019 t = 3.2 answer a" - }, - { - "Answer": 7, - "Options": "a ) 3 , b ) 5 , c ) 7 , d ) 9 , e ) 11", - "Correct": "c", - "Explanation": "\"p makes x sprockets per hour . then q makes 1.1 x sprockets per hour . 770 / x = 770 / 1.1 x + 10 1.1 ( 770 ) = 770 + 11 x 11 x = 77 x = 7 the answer is c .\"" - }, - { - "Answer": 33.333333333333336, - "Options": "a ) 63.33 % , b ) 34.33 % , c ) 33.33 % , d ) 31.33 % , e ) 36.33 %", - "Correct": "c", - "Explanation": "explanation : 20 cp = 30 sp 30 - - - 10 cp loss 100 - - - ? = > 33.33 % loss answer : c" - }, - { - "Answer": 18, - "Options": "a ) 18 % , b ) 10 % , c ) 21 % , d ) 16 % , e ) none", - "Correct": "a", - "Explanation": "\"solution : given ratio of ram and shayam ' s weight = 3 : 5 hence , ( x - 15 ) / ( 15 - 10 ) = 3 / 5 or , x = 18 % . answer : option a\"" - }, - { - "Answer": 0.28, - "Options": "a ) 0.125 % , b ) 0.28 % , c ) 0.8 % , d ) 1.25 % , e ) 2.0 %", - "Correct": "b", - "Explanation": "\"percent of defective produced = 7 % percent of the defective units that are shipped for sale = 4 % percent of units produced are defective units that are shipped for sale = ( 4 / 100 ) * ( 7 / 100 ) * 100 % = ( 28 / 10000 ) * 100 % = ( 28 / 100 ) % = . 28 % answer b\"" - }, - { - "Answer": 26, - "Options": "a ) 18 % , b ) 26 % , c ) 12 % , d ) 32 % , e ) 15 %", - "Correct": "b", - "Explanation": "\"original price = 100 cp = 70 s = 70 * ( 180 / 100 ) = 126 100 - 126 = 26 % answer : b\"" - }, - { - "Answer": 25, - "Options": "a ) 20 , b ) 25 , c ) 35 , d ) 40 , e ) 55", - "Correct": "b", - "Explanation": "\"total = 75 books . 60 % of books that were loaned out are returned - - > 100 % - 60 % = 40 % of books that were loaned out are not returned . now , there are 68 books , thus 75 - 65 = 10 books are not returned . { loaned out } * 0.4 = 10 - - > { loaned out } = 25 . answer : b .\"" - }, - { - "Answer": 29.799999999999997, - "Options": "a ) 17 % , b ) 19 % , c ) 18 % , d ) 14 % , e ) 29.8 %", - "Correct": "e", - "Explanation": "\"total cp = rs . 38000 + rs . 12000 = rs . 50000 and sp = rs . 64900 profit ( % ) = ( 64900 - 50000 ) / 50000 * 100 = 29.8 % answer : e\"" - }, - { - "Answer": 16.363636363636363, - "Options": "a ) 5.45 % , b ) 16.36 % , c ) 7 % , d ) 8.12 % , e ) 10 %", - "Correct": "b", - "Explanation": "\"c . p . = 4700 + 800 = $ 5500 s . p . = $ 6400 gain = 6400 - 5500 = $ 900 gain % = 900 / 5500 * 100 = 16.36 % answer is b\"" - }, - { - "Answer": 37, - "Options": "a ) 39 % , b ) 36 % , c ) 35 % , d ) 40 % , e ) 37 %", - "Correct": "e", - "Explanation": "\"let c . p . of each article be re . 1 . then , c . p . of 100 articles = rs . 100 ; s . p . of 100 articles = rs . 63 . loss % = 37 / 100 * 100 = 37 % answer : e\"" - }, - { - "Answer": 475, - "Options": "a ) 445 , b ) 449 , c ) 475 , d ) 740 , e ) 460", - "Correct": "c", - "Explanation": "\"c 475 cost price = $ 380 profit = 25 % of 380 = $ 95 selling price = cost price + profit = 380 + 95 = 475\"" - }, - { - "Answer": 23, - "Options": "a ) 22 , b ) 23 , c ) 697 , d ) 66 p , e ) 82", - "Correct": "b", - "Explanation": "answer : option b" - }, - { - "Answer": 500, - "Options": "a ) 250 , b ) 400 , c ) 450 , d ) 500 , e ) 520", - "Correct": "d", - "Explanation": "\"formula = total = 100 % , increse = ` ` + ' ' decrease = ` ` - ' ' a number means = 100 % that same number increased by 20 % = 120 % 120 % - - - - - - - > 600 ( 120 \u00d7 5 = 600 ) 100 % - - - - - - - > 500 ( 100 \u00d7 5 = 500 ) d )\"" - }, - { - "Answer": 91000, - "Options": "a ) 87000 , b ) 88000 , c ) 89000 , d ) 90000 , e ) 91000", - "Correct": "e", - "Explanation": "70 : 49000 = 130 : x x = ( 49000 x 130 ) / 70 = 91000 . hence , s . p . = rs . 91,000 . answer : option e" - }, - { - "Answer": 32.8125, - "Options": "a ) 32.8 % , b ) 37.6 % , c ) 38.5 % , d ) 17.5 % , e ) 37.2 %", - "Correct": "a", - "Explanation": "\"let marked price = rs . 100 . then , c . p . = rs . 64 , s . p . = rs . 85 gain % = 21 / 64 * 100 = 32.8 % . answer : a\"" - }, - { - "Answer": 2056, - "Options": "a ) 2041 , b ) 1951 , c ) 2056 , d ) 1971 , e ) 1973", - "Correct": "c", - "Explanation": "\"explanation : given year 2028 when divided by 4 , leaves a remainder 0 . note : when remainder is 0 , 28 is added to the given year to get the result . so , 2028 + 28 = 2056 answer : c\"" - }, - { - "Answer": 10.999999999999986, - "Options": "a ) 8 % , b ) 9 % , c ) 10 % , d ) 11 % , e ) none of these", - "Correct": "d", - "Explanation": "explanation : difference between c . i and s . i for 2 years = 36.30 s . i . for one year = 330 . s . i . on rs 330 for one year = 36.30 so r % = \\ frac { 100 * 36.30 } { 330 * 1 } = 11 % answer : d" - }, - { - "Answer": 12.5, - "Options": "a ) $ 25 , b ) $ 12.50 , c ) $ 29.65 , d ) $ 35.95 , e ) $ 45.62", - "Correct": "b", - "Explanation": "\"s . p . of each of the article = 50 / 2 = $ 25 let m . p = $ x 50 % of x = 25 x = 25 * . 5 = $ 12.50 answer is b\"" - }, - { - "Answer": 20.000000000000004, - "Options": "a ) 18 % , b ) 20 % , c ) 22 % , d ) 24 % , e ) 26 %", - "Correct": "b", - "Explanation": "the number of gallons in the tank is ( 1 / 4 ) 24 = 6 gallons the amount of sodium chloride is 0.4 ( 6 ) = 2.4 gallons at the start , the amount of water is 0.6 ( 6 ) = 3.6 gallons after 6 hours , the amount of water is 3.6 - 0.5 ( 6 ) = 0.6 gallons the concentration of water is 0.6 / ( 2.4 + 0.6 ) = 2 / 10 = 20 % the answer is b ." - }, - { - "Answer": 64, - "Options": "a ) 80 , b ) 72 , c ) 64 , d ) 56 , e ) 48", - "Correct": "c", - "Explanation": "\"800 * ( 40 / 100 ) = 320 - - - - 5 ? - - - - 1 = > rs . 64 answer : c\"" - }, - { - "Answer": 1600.0000000000005, - "Options": "a ) 2777 , b ) 2987 , c ) 1200 , d ) 9977 , e ) 1600", - "Correct": "e", - "Explanation": "\"cp * ( 20 / 100 ) = 320 cp = 16 * 100 = > cp = 1600 answer : e\"" - }, - { - "Answer": 76.875, - "Options": "a ) 22.378 , b ) 37.78 , c ) 76.88 , d ) 27.888 , e ) 12.771", - "Correct": "c", - "Explanation": "explanation : capital = rs . x , then 4 / 5 x = 61.5 x = 76.88 answer : c ) rs . 76.88" - }, - { - "Answer": 70, - "Options": "a ) 60 , b ) 70 , c ) 100 , d ) 120 , e ) 140", - "Correct": "b", - "Explanation": "\"30 % of the members have passed the test , thus 70 % have not passed the test . we also know that 30 + 19 = 49 members have not passed the test , thus 0.7 * total = 49 - - > total = 70 . answer : b .\"" - }, - { - "Answer": 600, - "Options": "a ) 250 , b ) 400 , c ) 450 , d ) 600 , e ) 520", - "Correct": "d", - "Explanation": "\"formula = total = 100 % , increse = ` ` + ' ' decrease = ` ` - ' ' a number means = 100 % that same number increased by 30 % = 130 % 130 % - - - - - - - > 780 ( 130 \u00d7 6 = 780 ) 100 % - - - - - - - > 600 ( 100 \u00d7 6 = 600 ) d )\"" - }, - { - "Answer": 19.99840012798976, - "Options": "a ) 10 sec , b ) 20 sec , c ) 25 sec , d ) 30 sec , e ) 35 sec", - "Correct": "b", - "Explanation": "\"distance = length of train + length of bridge = 250 + 150 = 400 speed = 72 km / hr = 72 * 5 / 18 = 20 m / s required time = 400 / 20 = 20 seconds answer is b\"" - }, - { - "Answer": 20, - "Options": "a ) 16 % , b ) 16.66 % , c ) 17.9 % , d ) 18.12 % , e ) 20 %", - "Correct": "e", - "Explanation": "\"increase = ( 10 / 50 ) * 100 = ( 1 / 5 ) * 100 = 20 % . e\"" - }, - { - "Answer": 83, - "Options": "a ) 69 . , b ) 83 . , c ) 81 , d ) 91 , e ) 108", - "Correct": "b", - "Explanation": "\"total students = 420 boys = 312 , girls = 108 total playing soccer = 250 90 % of 250 = 225 are boys who play soccer . girls who play soccer = 25 . total girls who do not play soccer = 108 - 25 = 83 . correct option : b\"" - }, - { - "Answer": 24.88888888888889, - "Options": "a ) $ 45.10 , b ) $ 34.31 , c ) $ 24.88 , d ) $ 67.54 , e ) $ 65.23", - "Correct": "c", - "Explanation": "\"let x be the price before the first discount . the price after the first discount is x - 25 % x ( price after first discount ) a second discount of 25 % of the discounted price after which the final price is 14 ( x - 25 % x ) - 25 % ( x - 25 % x ) = 14 solve for x x = $ 24.88 correct answer c\"" - }, - { - "Answer": 14.399999999999999, - "Options": "a ) a ) 14.4 , b ) b ) 20 , c ) c ) 21.3 , d ) d ) 21.5 , e ) e ) 22", - "Correct": "a", - "Explanation": "\"total cost of the items he purchased = rs . 25 given that out of this rs . 25 , 30 paise is given as tax = > total tax incurred = 60 paise = rs . 60 / 100 let the cost of the tax free items = x given that tax rate = 6 % \u2234 ( 25 \u2212 60 / 100 \u2212 x ) 6 / 100 = 60 / 100 \u21d2 6 ( 25 \u2212 0.6 \u2212 x ) = 60 \u21d2 ( 25 \u2212 0.6 \u2212 x ) = 10 \u21d2 x = 25 \u2212 0.6 \u2212 10 = 14.4 a\"" - }, - { - "Answer": 360, - "Options": "a ) 270 , b ) 380 , c ) 260 , d ) 360 , e ) 290", - "Correct": "d", - "Explanation": "\"explanation : 40 % = 40 * 4 = 160 90 % = 90 * 4 = 360 answer : option d\"" - }, - { - "Answer": 8099.999999999999, - "Options": "a ) 7500 , b ) 3388 , c ) 8100 , d ) 2888 , e ) 2661", - "Correct": "c", - "Explanation": "\"35 % - - - - - - - - - - - l 65 % - - - - - - - - - - - w - - - - - - - - - - - - - - - - - - 30 % - - - - - - - - - - 2430 100 % - - - - - - - - - ? = > 8100 answer : c\"" - }, - { - "Answer": 5, - "Options": "a ) 4 % , b ) 5 % , c ) 6 % , d ) 3 % , e ) 5.5 %", - "Correct": "b", - "Explanation": "\"sol . cp = rs 490 , sp = 465.50 . loss = rs ( 490 - 465.50 ) = rs 24.50 . loss % = [ ( 24.50 / 490 ) * 100 ] % = 5 % answer is b .\"" - }, - { - "Answer": 28.888888888888886, - "Options": "a ) 11 , b ) 29 , c ) 99 , d ) 77 , e ) 18", - "Correct": "b", - "Explanation": "\"900 - - - - 260 100 - - - - ? = > 29 % answer : b\"" - }, - { - "Answer": 9560, - "Options": "a ) 9560 , b ) 96288 , c ) 26667 , d ) 1662 , e ) 2882", - "Correct": "a", - "Explanation": "( 8000 * 3 * 1.5 ) / 100 = 360 9200 - - - - - - - - 9560 answer : a" - }, - { - "Answer": 600, - "Options": "a ) $ 500 , b ) $ 600 , c ) $ 700 , d ) $ 800 , e ) $ 900", - "Correct": "b", - "Explanation": "9 % * cost price = $ 54 1 % * cost price = $ 54 / 9 = $ 6 the cost price is $ 600 . the answer is b ." - }, - { - "Answer": 100, - "Options": "a ) 100 % , b ) 12.5 % , c ) 67 % , d ) 25 % , e ) 33 %", - "Correct": "a", - "Explanation": "\"lets assume the principal amount ( initial amount invested ) to be p rate of interest to berand time as t . we need to find r now after a time of 3 years the principal p amounts to $ 400 and after a time of 5 years ( question says after another 5 years so 3 + 2 ) p becomes $ 600 . formulating the above data amount ( a 1 ) at end of 3 years a 1 = p ( 1 + 3 r / 100 ) = 400 amount ( a 2 ) at end of 8 years a 2 = p ( 1 + 5 r / 100 ) = 600 dividing a 2 by a 1 we get ( 1 + 5 r / 100 ) / ( 1 + 3 r / 100 ) = 6 / 8 after cross multiplication we are left with r = 100 option : a\"" - }, - { - "Answer": 0.16, - "Options": "a ) 0.16 , b ) 0.17 , c ) 0.18 , d ) 0.2 , e ) 0.19", - "Correct": "a", - "Explanation": "\u221a 4 = 2 so , \u221a 4 percent of 4 \u221a 4 = 2 percent of ( 4 ) ( 2 ) = ( 2 / 100 ) ( 8 ) = 16 / 100 = 0.16 answer : a" - }, - { - "Answer": 272, - "Options": "a ) 240 , b ) 272 , c ) 379 , d ) 277 , e ) 122", - "Correct": "b", - "Explanation": "explanation : ( 3 * 8 + 2 * 4 ) : ( 4 * 8 + 5 * 4 ) 8 : 13 8 / 21 * 714 = 272 answer : b" - }, - { - "Answer": 2000, - "Options": "a ) 2000 , b ) 1492 , c ) 1667 , d ) 1254 , e ) 1112", - "Correct": "a", - "Explanation": "speed = 10 * 5 / 18 = 50 / 18 m / sec distance covered in 10 minutes = 50 / 18 * 12 * 60 = 2000 m answer is a" - }, - { - "Answer": 30, - "Options": "a ) 1 , b ) 10 , c ) 100 , d ) 30 , e ) 20", - "Correct": "d", - "Explanation": "30 % of 1000 gives 300 . so 300 attends chess and 10 % of 300 gives 30 . so 30 enrolled for swimming answer : d" - }, - { - "Answer": 80, - "Options": "a ) 20 % , b ) 42 % , c ) 44 % , d ) 80 % , e ) 84 %", - "Correct": "d", - "Explanation": "\"let ' s assume there are 100 reporters - - > 15 reporters cover local politics . now , as 25 % of the reporters who cover all politics do not cover local politics then the rest 75 % of the reporters who cover politics do cover local politics , so if there are x reporters who cover politics then 75 % of them equal to 15 ( # of reporters who cover local politics ) : 0.75 x = 15 - - > x = 20 , hence 20 reporters cover politics and the rest 100 - 20 = 80 reporters do not cover politics at all . answer : d .\"" - }, - { - "Answer": 26, - "Options": "a ) 26 % , b ) 20 % , c ) 17 % , d ) 18 % , e ) none of these", - "Correct": "a", - "Explanation": "\"explanation : let the cp of the article = rs . 100 . then labeled price = rs . 140 . sp = rs . 140 - 10 % of 140 = rs . 140 - 14 = rs . 126 . gain = rs . 126 \u00e2 \u20ac \u201c rs . 100 = rs . 26 therefore , gain / profit percent = 26 % . answer : option a\"" - }, - { - "Answer": 40, - "Options": "a ) 20 % , b ) 30 % , c ) 40 % , d ) 50 % , e ) 60 %", - "Correct": "c", - "Explanation": "4 / 10 of all the vehicles were not rented . ( 3 / 5 ) ( 2 / 5 ) = 6 / 25 of all the vehicles are 4 wds that were not rented . ( 6 / 25 ) / ( 4 / 10 ) = 3 / 5 is the fraction of non - rented vehicles that were 4 wds 1 - 3 / 5 = 40 % of non - rented vehicles were not 4 wds . the answer is c ." - }, - { - "Answer": 50000, - "Options": "a ) 40000 , b ) 45000 , c ) 50000 , d ) 62000 , e ) none of these", - "Correct": "c", - "Explanation": "explanation : let the initial amount be x , amount given to his wife = ( 40 / 100 ) x = 2 x / 5 balance = ( x - ( 2 x / 5 ) ) = 3 x / 5 amount given to his wife = ( 20 / 100 ) * ( 3 x / 5 ) = 3 x / 25 balance = 3 x / 5 - 3 x / 25 = 12 x / 25 amountt spent on miscellaneous items = ( 1 / 2 ) * ( 12 x / 25 ) = 6 x / 25 which is equal to 12000 hence , = > 6 x / 25 = 12000 = > x = 50000 answer : c" - }, - { - "Answer": 28.57142857142857, - "Options": "a ) 26.32 % , b ) 35.14 % , c ) 28.57 % , d ) 25 % , e ) 31.14 %", - "Correct": "c", - "Explanation": "\"alcohol in the 20 litres of mix . = 40 % of 20 litres = ( 40 * 20 / 100 ) = 8 litres water in it = 20 - 8 = 12 litres new quantity of mix . = 20 + 8 = 28 litres quantity of alcohol in it = 8 litres percentage of alcohol in new mix . = 8 * 100 / 28 = 50 / 3 = 28.57 % answer is c\"" - }, - { - "Answer": 864, - "Options": "a ) $ 480 , b ) $ 450 , c ) $ 960 , d ) $ 864 , e ) $ 660", - "Correct": "d", - "Explanation": "\"let c . p . = $ x . then , 832 - x = x - 448 2 x = 1280 = > x = 640 required s . p . = 135 % of $ 640 = $ 864 d\"" - }, - { - "Answer": 700, - "Options": "a ) 500 , b ) 600 , c ) 700 , d ) 800 , e ) 900", - "Correct": "c", - "Explanation": "\"p - 420 = ( p * 5 * 8 ) / 100 p = 700 the answer is c .\"" - }, - { - "Answer": 100, - "Options": "a ) 100 % , b ) 150 % , c ) 90 % , d ) 80 % , e ) 95 %", - "Correct": "a", - "Explanation": "a 100 % if the sum he paid whilst purchasing 20 pens = a , then the cost price of each pen = a / 20 . since the amount he got whilst selling 10 pens is also = a then the selling price of each pen = a / 10 . since selling price > cost price , he made a profit . profit per pen = selling price - cost price = a / 10 - a / 20 = a / 20 . profit percentage per pen = profit per pen / cost per pen x 100 = ( a / 20 ) / ( a / 20 ) x 100 = 100 %" - }, - { - "Answer": 2068, - "Options": "a ) 2063 , b ) 2061 , c ) 2111 , d ) 2191 , e ) 2068", - "Correct": "e", - "Explanation": "\"explanation : given year 2040 when divided by 4 , leaves a remainder 0 . note : when remainder is 0 , 28 is added to the given year to get the result . so , 2040 + 28 = 2068 answer : e\"" - }, - { - "Answer": 40, - "Options": "a ) 36 , b ) 37 , c ) 38 , d ) 39 , e ) 40", - "Correct": "e", - "Explanation": "\"let c . p . of each pencil be re . 1 . then , c . p . of 100 pencils = rs . 100 ; s . p . of 100 pencils = rs . 140 . gain % = 40 / 100 * 100 = 40 % answer : e\"" - }, - { - "Answer": 135, - "Options": "a ) 80 % , b ) 105 % , c ) 135 % , d ) 124.2 % , e ) 138 %", - "Correct": "c", - "Explanation": "\"the profit 0 f 2009 in terms of 2008 = 0.9 * 15 / 10 * 100 = 135 % c\"" - }, - { - "Answer": 600, - "Options": "a ) $ 410 , b ) $ 500 , c ) $ 600 , d ) $ 710 , e ) $ 1000", - "Correct": "c", - "Explanation": "\"p = $ 10000 r = 6 % t = 12 / 12 years = 1 year s . i . = p * r * t / 100 = 10000 * 6 * 1 / 100 = $ 600 answer is c\"" - }, - { - "Answer": 1.6899999999999964, - "Options": "a ) 1.69 % , b ) 2.56 % , c ) 3.12 % , d ) 4.65 % , e ) 5.12 %", - "Correct": "a", - "Explanation": "\"in such a case there is always a loss loss % = ( 13 / 10 ) ^ 2 = 120 / 71 = 1.69 % answer is a\"" - }, - { - "Answer": 82, - "Options": "a ) 28 % , b ) 82 % , c ) 24.33 % , d ) 29.109 % , e ) 78 %", - "Correct": "b", - "Explanation": "\"anyways , one can infer that he ' steals ' 30 % from suppliers and then charges 40 % extra to customers so basically 1.3 * 1.4 = 1.82 given that 1 is start point , we get 21 % more hence answer is b\"" - }, - { - "Answer": 84, - "Options": "a ) 62 , b ) 140 , c ) 84 , d ) 60 , e ) 123", - "Correct": "c", - "Explanation": "given 30 % ( income ) = 300 \u21d2 \u21d2 income = 1000 after having spent rs . 300 on petrol , he left with rs . 700 . his spending on house rent = 12 % ( 700 ) = rs . 84 answer : c" - }, - { - "Answer": 39.823008849557525, - "Options": "a ) 38 , b ) 39 , c ) 40 , d ) 41 , e ) 42", - "Correct": "c", - "Explanation": "\"soln : - 13 x = 45 - - > 87 / 77 * x = 45 - - > x = 45 * 77 / 87 = 677 / 17 = ~ 40 . answer : c .\"" - }, - { - "Answer": 69000, - "Options": "a ) 22678 , b ) 26699 , c ) 69000 , d ) 19000 , e ) 26711", - "Correct": "c", - "Explanation": "\"money paid in cash = rs . 1000 balance payment = ( 70000 - 1000 ) = rs . 69000 answer : c\"" - }, - { - "Answer": 1260, - "Options": "a ) $ 1260 , b ) $ 1520 , c ) $ 1356 , d ) $ 1440 , e ) $ 1210", - "Correct": "a", - "Explanation": "rate = 10 % time = 2 years s . i . = $ 1200 principal = 100 * 1200 / 10 * 2 = $ 6000 amount = 6000 ( 1 + 10 / 100 ) ^ 2 = $ 7260 c . i . = 7260 - 6000 = $ 1260 answer is a" - }, - { - "Answer": 80, - "Options": "a ) 40 , b ) 50 , c ) 60 , d ) 80 , e ) 70", - "Correct": "d", - "Explanation": "\"let the number be x . then , 50 % of x - 35 % of x = 12 50 / 100 x - 35 / 100 x = 12 x = ( 12 * 100 ) / 15 = 80 . answer : d\"" - }, - { - "Answer": 20000, - "Options": "a ) 20000 , b ) 40000 , c ) 50000 , d ) 60000 , e ) 70000", - "Correct": "a", - "Explanation": "let first parrt is x and second part is y then x + y = 50000 - - - - - - - - - - eq 1 total profit = profit on x + profit on y 8000 = ( x * 10 * 1 ) / 100 + ( y * 20 * 1 ) / 100 80000 = x + 2 y - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - eq 2 80000 = 50000 + y so y = 30000 then x = 50000 - 30000 = 20000 first part = 20000 answer : a" - }, - { - "Answer": 32, - "Options": "a ) 32 % , b ) 34 % , c ) 35 % , d ) 36 % , e ) 37 %", - "Correct": "a", - "Explanation": "\"total men in company 40 % means total women in company 60 % ( assume total people in company 100 % ) no of men employees attended picnic = 40 x ( 20 / 100 ) = 8 no of women employees attended picnic = 60 x ( 40 / 100 ) = 24 total percentage of employees attended the picnic = 8 + 24 = 32 % answer : a\"" - }, - { - "Answer": 25, - "Options": "a ) 35 % , b ) 40 % , c ) 45 % , d ) 50 % , e ) 25 %", - "Correct": "e", - "Explanation": "40 / 160 \u00d7 100 = 25 % answer : e" - }, - { - "Answer": 226.68800000000002, - "Options": "a ) 288 , b ) 226 , c ) 250 , d ) 230 , e ) 262", - "Correct": "b", - "Explanation": "\"280 * ( 88 / 100 ) * ( 92 / 100 ) = 226 answer : b\"" - }, - { - "Answer": 2200, - "Options": "a ) 2000 , b ) 2100 , c ) 2200 , d ) 2300 , e ) 2400", - "Correct": "c", - "Explanation": "\"1 percent for 3 years = 66 1 percent for 1 year = 22 = > 100 percent = 2200 answer : c\"" - }, - { - "Answer": 11.11111111111111, - "Options": "a ) 12.5 % , b ) 13.5 % , c ) 11.5 % , d ) 11.1 % , e ) 21.5 %", - "Correct": "d", - "Explanation": "\"let principal = p , then , s . i . = p and time = 8 years rate = [ ( 100 x p ) / ( p x 9 ) ] % = 11.1 % per annum . answer : d\"" - }, - { - "Answer": 76, - "Options": "a ) rs . 76 , b ) rs . 72 , c ) rs . 74 , d ) rs . 4 , e ) none of these", - "Correct": "a", - "Explanation": "explanation : bg = ( td ) 2 / pw = 722 / 1296 = 72 \u00d7 72 / 1296 = 12 \u00d7 12 / 36 = 12 / 3 = rs . 4 bg = bd \u2013 td = > 4 = bd - 72 = > bd = 72 + 4 = rs . 76 answer : option a" - }, - { - "Answer": 612, - "Options": "a ) 812 , b ) 712 , c ) 412 , d ) 512 , e ) 612", - "Correct": "e", - "Explanation": "\"amount = rs [ 7500 * ( 1 + ( 4 / 100 ) 2 ] = rs ( 7500 * ( 26 / 25 ) * ( 26 / 25 ) ) = rs . 8112 . therefore , compound interest = rs . ( 8112 - 7500 ) = rs . 612 . answer is e .\"" - }, - { - "Answer": 445, - "Options": "a ) 445 , b ) 570 , c ) 480 , d ) 520 , e ) 550", - "Correct": "a", - "Explanation": "let the total number of valid votes be x . 70 % of x = 70 / 100 * x = 7 x / 10 number of votes secured by the other candidate = x - 7 x / 100 = 3 x / 10 given , 7 x / 10 - 3 x / 10 = 178 = > 4 x / 10 = 178 = > 4 x = 1780 = > x = 445 . answer : a" - }, - { - "Answer": 7600.000000000162, - "Options": "a ) 4500 , b ) 7600 , c ) 5000 , d ) 6000 , e ) none of these", - "Correct": "b", - "Explanation": "\"sol . ( d ) let the sum be 100 . therefore , si = 100 \u00d7 5 \u00d7 2100 = 10100 \u00d7 5 \u00d7 2100 = 10 and ci = 100 ( 1 + 5100 ) 2 \u2212 100100 ( 1 + 5100 ) 2 \u2212 100 \u2234 = 100 \u00d7 21 \u00d7 2120 \u00d7 20 \u2212 100 = 414 = 100 \u00d7 21 \u00d7 2120 \u00d7 20 \u2212 100 = 414 difference of ci and si = 41 \u2044 4 - 10 = 1 \u2044 4 if the difference is 1 \u2044 4 , the sum = 100 = > if the difference is 19 , the sum = 400 \u00d7 19 = 7600 answer b\"" - }, - { - "Answer": 20, - "Options": "a ) 20 , b ) 30 , c ) 40 , d ) 10 , e ) 16", - "Correct": "a", - "Explanation": "\"machine b produces 100 part in 60 minutes . machine a produces 100 parts twice as fast as b , so machine a produces 100 parts in 60 / 2 = 30 minutes . now , machine a produces 100 parts in 30 minutes which is 100 / 30 = 10 / 3 parts / minute . 10 / 3 parts x a total of 6 minutes = 20 a\"" - }, - { - "Answer": 25, - "Options": "a ) 17 , b ) 56 , c ) 25 , d ) 28 , e ) 12", - "Correct": "c", - "Explanation": "\"let c . p . = rs . 4 x . then , s . p . = rs . 5 x gain = ( 5 x - 4 x ) = rs . x gain % = ( x * 100 ) / 4 x = 25 % . answer : c\"" - }, - { - "Answer": 87.25, - "Options": "a ) 86 % , b ) 87 % , c ) 88 % , d ) 89 % , e ) 90 %", - "Correct": "b", - "Explanation": "\"this question is a weighted average question with a series of dependent variables . the remaining portion of the class represents 100 % - 45 % - 50 % = 5 % of the class converting the portions of the class population to decimal weights , we find : class average = 0.45 x 100 + 0.50 x 78 + 0.05 x 63 = 87.15 the class average ( rounded ) is 87 % final answer b ) 87 %\"" - }, - { - "Answer": 310.00000000000006, - "Options": "a ) 280 , b ) 290 , c ) 300 , d ) 310 , e ) 320", - "Correct": "d", - "Explanation": "let x be the total number of votes cast . 0.6 x = 0.4 x + 62 0.2 x = 62 x = 310 the answer is d ." - }, - { - "Answer": 30, - "Options": "a ) 30 , b ) 36 , c ) 64 , d ) 72 , e ) none of these", - "Correct": "a", - "Explanation": "\"? % of 360 = 108 or , ? = 108 \u00d7 100 / 360 = 30 answer a\"" - }, - { - "Answer": 0.40000000000000013, - "Options": "a ) $ 0.32 , b ) $ 0.40 , c ) $ 0.45 , d ) $ 0.48 , e ) $ 0.54", - "Correct": "b", - "Explanation": "\"if arthur and david submit separate orders , each would be smaller than 100 photocopies , so no discount . each would pay ( 80 ) * ( $ 0.02 ) = $ 1.60 , or together , a cost of $ 3.20 - - - that ' s the combined no discount cost . if they submit things together as one big order , they get a discount off of that $ 3.20 price - - - - 25 % or 1 / 4 of that is $ 0.80 , the discount on the combined sale . they each effective save half that amount , or $ 0.40 . answer = ( b ) .\"" - }, - { - "Answer": 6, - "Options": "a ) 6 liters , b ) 8 liters , c ) 10 liters , d ) 12 liters , e ) 15 liters", - "Correct": "a", - "Explanation": "acid in 9 liters = 50 % of 9 = 4.5 liters suppose x liters of water be added . then 4.5 liters of acid in 9 + x liters of diluted solution 30 % of 9 + x = 4.5 27 + 3 x = 45 x = 6 liters answer is a" - }, - { - "Answer": 17.446043165467625, - "Options": "a ) 16.8 % , b ) 17.4 % , c ) 17.9 % , d ) 18.5 % , e ) 19.1 %", - "Correct": "b", - "Explanation": "\"given : selling price of an apple = 23 - - > cost price = 23 / 1.15 = 20 selling price of an orange = 10 - - > cost price = 10 / 1.25 = 8 a > o 23 * ( a ) + 10 * ( o ) = 653 653 - 23 * ( a ) has to be divisible by 10 - - > units digit has to be 0 values of a can be 1 , 11 , 21 , 31 , . . . . - - > 1 can not be the value between 11 and 21 , if a = 11 , o = 30 - - > not possible if a = 21 , o = 17 - - > possible cost price = 20 * 21 + 8 * 17 = 420 + 136 = 556 profit = 653 - 556 = 97 profit % z = ( 97 / 556 ) * 100 = 17.4 % answer : b\"" - }, - { - "Answer": 200, - "Options": "a ) 110 , b ) 220 , c ) 330 , d ) 200 , e ) 789", - "Correct": "d", - "Explanation": "let ' s take the approach that uses the answer choices to eliminate wasted time . 500 / 100 = 5 coffee bar per minute per machine . 20 machines = 100 per minute . 2 minutes worth = 200 coffe bar . looking at the answers it is clear . . . we can only choose ( d ) the correct answer is d ." - }, - { - "Answer": 60, - "Options": "a ) 20 , b ) 80 , c ) 40 , d ) 60 , e ) 50", - "Correct": "d", - "Explanation": "machine b produces 100 part in 30 minutes . machine a produces 100 parts thrice as fast as b , so machine a produces 100 parts in 30 / 3 = 10 minutes . now , machine a produces 100 parts in 10 minutes which is 100 / 10 = 10 parts / minute . 10 parts x a total of 6 minutes = 60 d" - }, - { - "Answer": 63.00000000000006, - "Options": "a ) 33 , b ) 39 , c ) 38 , d ) 63 , e ) 01", - "Correct": "d", - "Explanation": "by the rule of alligation : c . p . of 1 kg sugar of 1 st kind c . p . of 1 kg sugar of 2 nd kind { \\ color { blue } \\ therefore } ratio of quantities of 1 st and 2 nd kind = 14 : 6 = 7 : 3 . let x kg of sugar of 1 st kind be mixed with 27 kg of 2 nd kind . then , 7 : 3 = x : 27 or x = ( 7 x 27 / 3 ) = 63 kg . answer : d ) 63 kg" - }, - { - "Answer": 0.40000000000000013, - "Options": "a ) $ 0.32 , b ) $ 0.40 , c ) $ 0.45 , d ) $ 0.48 , e ) $ 0.54", - "Correct": "b", - "Explanation": "if saran and david submit separate orders , each would be smaller than 100 photocopies , so no discount . each would pay ( 80 ) * ( $ 0.02 ) = $ 1.60 , or together , a cost of $ 3.20 - - - that ' s the combinedno discount cost . if they submit things together as one big order , they get a discount off of that $ 3.20 price - - - - 25 % or 1 / 4 of that is $ 0.80 , the discount on the combined sale . they each effective save half that amount , or $ 0.40 . answer = ( b ) ." - }, - { - "Answer": 20, - "Options": "a ) rs . 30 , b ) rs . 25 , c ) rs . 45 , d ) rs . 20 , e ) rs . 10", - "Correct": "d", - "Explanation": "let the incorrect cost price be c 1 and let the original cost price be c 2 . marked price of book is rs . 30 . it is 20 % more than c 1 . therefore , ( 120 / 100 ) x c 1 = 30 or c 1 = 25 . c 1 is more than c 2 margin of 25 % . or c 1 = ( 125 / 100 ) c 2 therefore , c 2 = ( 100 / 125 ) x 25 = rs 20 answer : d" - }, - { - "Answer": 36100, - "Options": "a ) 24560 , b ) 26450 , c ) 36100 , d ) 38920 , e ) 45200", - "Correct": "c", - "Explanation": "population in 2 years = 40000 ( 1 - 5 / 100 ) ^ 2 = 40000 * 19 * 19 / 20 * 20 = 36100 answer is c" - }, - { - "Answer": 34, - "Options": "a ) 34 % , b ) 24 % , c ) 22 % , d ) 18 % , e ) 8.5 %", - "Correct": "a", - "Explanation": "\"say the second solution ( which was 1 / 4 th of total ) was x % sugar , then 3 / 4 * 0.1 + 1 / 4 * x = 1 * 0.16 - - > x = 0.34 . alternately you can consider total solution to be 100 liters and in this case you ' ll have : 75 * 0.1 + 25 * x = 100 * 0.16 - - > x = 0.34 . answer : a .\"" - }, - { - "Answer": 3800, - "Options": "a ) rs . 2000 , b ) rs . 600 , c ) rs . 8000 , d ) rs . 3800 , e ) rs . 1200", - "Correct": "d", - "Explanation": "explanation : kavi ' s monthly income = rs . 19,000 he spends 50 % on food . the total money spent on food = 50 / 100 * 19000 = rs . 9500 now , his monthly remaining income = rs . 19000 \u2013 rs . 9500 = rs . 9500 out of rs . 9500 , he saves 40 % . amount saved = 40 / 100 * 9500 = rs . 3800 answer : d" - }, - { - "Answer": 2.75, - "Options": "a ) 1.5 , b ) 2.5 , c ) 3.5 , d ) 2.75 , e ) 4.5", - "Correct": "d", - "Explanation": "10 grams of combined mixture and 40 % blue pigment means that the mixtures were mixed 50 % each . thus 5 grams a piece . out of the 5 grams of the dark blue paint , 60 % is red . therefore , 5 * . 55 = 2.75 grams of red pigment" - }, - { - "Answer": 66.66666666666667, - "Options": "a ) 66.67 % , b ) 33.33 % , c ) 40 % , d ) 25 % , e ) 20 %", - "Correct": "a", - "Explanation": "let cost price = x profit = y selling price = x + y 50 y = 20 ( x + y ) 30 y = 20 x percentage profit = y / x \u2217 100 = 20 / 30 \u2217 100 = 66.667 answer = a" - }, - { - "Answer": 144, - "Options": "a ) $ 165 , b ) $ 174 , c ) $ 144 , d ) $ 164 , e ) $ 183", - "Correct": "c", - "Explanation": "\"c $ 144 given that sp = $ 102 and loss = 15 % cp = [ 100 ( sp ) ] / ( 100 - l % ) = ( 100 * 102 ) / 85 = 20 * 6 = $ 120 . to get 20 % profit , new sp = [ ( 100 + p % ) cp ] / 100 = ( 120 * 120 ) / 100 = $ 144\"" - }, - { - "Answer": 1400, - "Options": "a ) 1400 , b ) 1600 , c ) 1800 , d ) 2000 , e ) 2100", - "Correct": "a", - "Explanation": "\"note : majority ( 20 % ) = difference in votes polled to win ( 60 % ) & defeated candidates ( 40 % ) 20 % = 60 % - 40 % 20 % - - - - - > 280 ( 20 \u00d7 14 = 280 ) 100 % - - - - - > 1400 ( 100 \u00d7 14 = 1400 ) a )\"" - }, - { - "Answer": 1000, - "Options": "a ) 500 , b ) 1000 , c ) 1500 , d ) 2000 , e ) none of these", - "Correct": "b", - "Explanation": "c . p . for one coconut = 150 \u2044 100 = 3 \u2044 2 s . p . for one coconut = 2 profit on one coconut = 2 - 3 \u2044 2 = 1 \u2044 2 \u2234 profit on 2000 coconut = 1 \u2044 2 \u00d7 2000 = 1000 answer b" - }, - { - "Answer": 405, - "Options": "a ) 325 , b ) 345 , c ) 365 , d ) 385 , e ) 405", - "Correct": "e", - "Explanation": "pencil + notebook = 80 notebook + eraser = 115 pencil + eraser = 75 let ' s add all three equations . 2 pencils + 2 notebooks + 2 erasers = 270 cents the cost to buy 3 of each would be ( 3 / 2 ) ( 270 ) = 405 the answer is e ." - }, - { - "Answer": 200, - "Options": "a ) 100 % , b ) 120 % , c ) 200 % , d ) 150 % , e ) 180 %", - "Correct": "c", - "Explanation": "\"we ' re told that the number of women in a town is equal to 50 % of the number of men in that town . men = 10 women = 5 we ' re asked for the number of men , as a percentage of the number of women . m / w % = 10 / 5 = 200 % answer is c\"" - }, - { - "Answer": 70.23809523809523, - "Options": "a ) 180 % , b ) 120 % , c ) 90 % , d ) 80 % , e ) 70 %", - "Correct": "e", - "Explanation": "let the cp = 100 profit = ( 320 / 100 ) \u00d7 100 = 320 sp = cp + profit = 100 + 320 = 420 if the cost increases by 25 % , new cp = ( 125 / 100 ) \u00d7 100 = 125 selling price is constant , hence new sp = 420 profit = sp \u2013 cp = 420 \u2013 125 = 295 required percentage = ( 295 / 420 ) \u00d7 100 = 2950 / 42 = 1475 / 21 \u2248 70 answer : e" - }, - { - "Answer": 14, - "Options": "a ) 15 , b ) 14 , c ) 13 , d ) 16 , e ) 17", - "Correct": "b", - "Explanation": "( 70 / 100 ) * 120 \u00e2 \u20ac \u201c ( 35 / 100 ) * 200 84 - 70 = 14 answer : b" - }, - { - "Answer": 60, - "Options": "a ) 30 liters , b ) 50 liters , c ) 60 liters , d ) 70 liters , e ) 80 liters", - "Correct": "c", - "Explanation": "\"acid in 20 liters = 80 % of 20 = 16 liters suppose x liters of water be added . then 16 liters of acid in 20 + x liters of diluted solution 20 % of 20 + x = 16 20 + x = 80 x = 60 liters answer is c\"" - }, - { - "Answer": 90.00000000000003, - "Options": "a ) rs . 70 , b ) rs . 80 , c ) rs . 90 , d ) rs . 100 , e ) none", - "Correct": "c", - "Explanation": "solution : 1 st method : let the original price of tea be rs . x / kg . after reduction the price becomes = x - 10 % of x = 9 x / 10 per kg . now , ( 22500 / ( 9 x / 10 ) ) - 22500 / x = 25 or , 22500 [ 10 / 9 x - 1 / x ] = 25 or , 25 * 9 x = 22500 ; or , x = ( 22500 / 2589 ) = rs . 100 . hence , new price = 90 per kg . thought process method : let the original price be rs . 100 per kg , he get tea = 22500 / 100 = 225 kg . after reduction the price becomes = 90 per kg , he get tea = 22500 / 90 = 250 kg . so , reduction price is rs . 90 per kg as it enables him to buy 25 kg of more tea . answer : option c" - }, - { - "Answer": 16, - "Options": "a ) 13 , b ) 14 , c ) 15 , d ) 16 , e ) 17", - "Correct": "d", - "Explanation": "\"explanation : let the cost price of one article = rs . 1 cp of x articles = rs . x cp of 20 articles = 20 selling price of x articles = 20 profit = 25 % [ given ] \u21d2 ( sp \u2212 cp / cp ) = 25 / 100 = 1 / 4 \u21d2 ( 20 \u2212 x ) / x = 1 / 4 \u21d2 80 \u2212 4 x = x \u21d2 5 x = 80 option d \u21d2 x = 805 = 16\"" - }, - { - "Answer": 28, - "Options": "a ) 14 , b ) 28 , c ) 21 , d ) 35 , e ) none of these", - "Correct": "b", - "Explanation": "explanation : solution : let the required number of carpets be x . more weavers , more carpets ( direct proportion ) more days , more carpets ( direct proportion ) weavers 7 : 14 } : : 7 : x days 7 : 14 . ' . 7 * 7 * x = 14 * 14 * 7 < = > x = 14 * 14 * 7 / 7 * 7 = 28 . answer : b" - }, - { - "Answer": 23, - "Options": "a ) 22 , b ) 23 , c ) 697 , d ) 66 p , e ) 82", - "Correct": "b", - "Explanation": "answer : option b" - }, - { - "Answer": 10.999999999999986, - "Options": "a ) 8 % , b ) 9 % , c ) 10 % , d ) 11 % , e ) none of these", - "Correct": "d", - "Explanation": "explanation : difference between c . i and s . i for 2 years = 36.30 s . i . for one year = 330 . s . i . on rs 330 for one year = 36.30 so r % = \\ frac { 100 * 36.30 } { 330 * 1 } = 11 % answer : d" - }, - { - "Answer": 5, - "Options": "a ) 4 % , b ) 5 % , c ) 6 % , d ) 3 % , e ) 5.5 %", - "Correct": "b", - "Explanation": "\"sol . cp = rs 490 , sp = 465.50 . loss = rs ( 490 - 465.50 ) = rs 24.50 . loss % = [ ( 24.50 / 490 ) * 100 ] % = 5 % answer is b .\"" - }, - { - "Answer": 40, - "Options": "a ) 20 % , b ) 30 % , c ) 40 % , d ) 50 % , e ) 60 %", - "Correct": "c", - "Explanation": "4 / 10 of all the vehicles were not rented . ( 3 / 5 ) ( 2 / 5 ) = 6 / 25 of all the vehicles are 4 wds that were not rented . ( 6 / 25 ) / ( 4 / 10 ) = 3 / 5 is the fraction of non - rented vehicles that were 4 wds 1 - 3 / 5 = 40 % of non - rented vehicles were not 4 wds . the answer is c ." - }, - { - "Answer": 50000, - "Options": "a ) 40000 , b ) 45000 , c ) 50000 , d ) 62000 , e ) none of these", - "Correct": "c", - "Explanation": "explanation : let the initial amount be x , amount given to his wife = ( 40 / 100 ) x = 2 x / 5 balance = ( x - ( 2 x / 5 ) ) = 3 x / 5 amount given to his wife = ( 20 / 100 ) * ( 3 x / 5 ) = 3 x / 25 balance = 3 x / 5 - 3 x / 25 = 12 x / 25 amountt spent on miscellaneous items = ( 1 / 2 ) * ( 12 x / 25 ) = 6 x / 25 which is equal to 12000 hence , = > 6 x / 25 = 12000 = > x = 50000 answer : c" - }, - { - "Answer": 40, - "Options": "a ) 36 , b ) 37 , c ) 38 , d ) 39 , e ) 40", - "Correct": "e", - "Explanation": "\"let c . p . of each pencil be re . 1 . then , c . p . of 100 pencils = rs . 100 ; s . p . of 100 pencils = rs . 140 . gain % = 40 / 100 * 100 = 40 % answer : e\"" - }, - { - "Answer": 80, - "Options": "a ) 40 , b ) 50 , c ) 60 , d ) 80 , e ) 70", - "Correct": "d", - "Explanation": "\"let the number be x . then , 50 % of x - 35 % of x = 12 50 / 100 x - 35 / 100 x = 12 x = ( 12 * 100 ) / 15 = 80 . answer : d\"" - }, - { - "Answer": 612, - "Options": "a ) 812 , b ) 712 , c ) 412 , d ) 512 , e ) 612", - "Correct": "e", - "Explanation": "\"amount = rs [ 7500 * ( 1 + ( 4 / 100 ) 2 ] = rs ( 7500 * ( 26 / 25 ) * ( 26 / 25 ) ) = rs . 8112 . therefore , compound interest = rs . ( 8112 - 7500 ) = rs . 612 . answer is e .\"" - }, - { - "Answer": 25, - "Options": "a ) 17 , b ) 56 , c ) 25 , d ) 28 , e ) 12", - "Correct": "c", - "Explanation": "\"let c . p . = rs . 4 x . then , s . p . = rs . 5 x gain = ( 5 x - 4 x ) = rs . x gain % = ( x * 100 ) / 4 x = 25 % . answer : c\"" - } - ] -} \ No newline at end of file