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in how many years rs 100 will produce the same interest at X% as rs . 200 produce in 2 years at 10 %
If the answer to the question is 8, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. moderate amount C. few D. small amount | C | in how many years rs 100 will produce the same interest at 5 % as rs . 200 produce in 2 years at 10 % | "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" |
in how many years rs 100 will produce the same interest at 5 % as rs . 200 produce in 2 years at X%
If the answer to the question is 8, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. few C. moderate amount D. most | B | in how many years rs 100 will produce the same interest at 5 % as rs . 200 produce in 2 years at 10 % | "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" |
a and b start a business , with a investing the total capital of rs . 10000 , on the condition that b pays a interest @ X% per annum on his half of the capital . a is a working partner and receives rs . 1000 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 ?
If the answer to the question is b ) 37000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. few C. small amount D. tiny amount | B | a and b start a business , with a investing the total capital of rs . 10000 , 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 . 1000 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 ? | "interest received by a from b = 10 % of half of rs . 10000 = 10 % * 5000 = 500 . amount received by a per annum for being a working partner = 1000 * 12 = rs . 12000 . let ' p ' be the part of the remaining profit that a receives as his share . total income of a = ( 500 + 12000 + 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 ( 500 + 12000 + p ) = 2 ( p ) p = 12500 total profit = 2 p + 12000 = 2 * 12500 + 12000 = 37000 answer : b" |
$ 4,000 is deposited in a savings account that pays X% annual interest compounded semiannually . to the nearest dollar , how much is in the account at the end of the year ?
If the answer to the question is $ 4326.40, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. moderate amount C. few D. all | C | $ 4,000 is deposited in a savings account that pays 8 % annual interest compounded semiannually . to the nearest dollar , how much is in the account at the end of the year ? | "this is the case of semi - annual compoundingso , multiply time period by 2 and divide rate by 2 so , new time = 2 periods and new rate = 8 / 2 = 4 % now , ca = 4000 ( 1 + 4 / 100 ) ^ 2 = $ 4326.40 hence answer is a" |
the cost price of 30 articles is the same as the selling price of x articles . if the profit is X% , what is x ?
If the answer to the question is 25, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. moderate amount C. some D. all | A | the cost price of 30 articles is the same as the selling price of x articles . if the profit is 20 % , what is x ? | "let the cost price = y the cost price of 30 articles = 30 y the selling price of x articles = 1.20 y * x 1.20 y * x = 30 y x = 30 / 1.2 = 25 the answer is d ." |
if X% of the 880 students at a certain college are enrolled in biology classes , how many students at the college are not enrolled in a biology class ?
If the answer to the question is 594, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. none C. some D. moderate amount | D | if 32.5 % of the 880 students at a certain college are enrolled in biology classes , how many students at the college are not enrolled in a biology class ? | "students enrolled in biology are 32.5 % and therefore not enrolled are 67.5 % . so of 880 is 880 * . 675 = 594 answer is d 594" |
what will be the compound interest on a sum of rs . 29,000 after 3 years at the rate of X% p . a . ?
If the answer to the question is s . 11742.91, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. small amount C. most D. some | A | what will be the compound interest on a sum of rs . 29,000 after 3 years at the rate of 12 % p . a . ? | "amount = [ 29000 * ( 1 + 12 / 100 ) 3 ] = 29000 * 28 / 25 * 28 / 25 * 28 / 25 = rs . 40742.91 c . i . = ( 40742.91 - 29000 ) = rs . 11742.91 answer : b" |
the contents of a certain box consist of 20 apples and 30 oranges . how many oranges must be added to the box so that exactly X% of the pieces of fruit in the box will be apples ?
If the answer to the question is 50, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. some C. small amount D. tiny amount | C | the contents of a certain box consist of 20 apples and 30 oranges . how many oranges must be added to the box so that exactly 20 % of the pieces of fruit in the box will be apples ? | "apple = ( apple + orange + x ) * 0.2 20 = ( 30 + 20 + x ) * 0.2 x = 50 answer : a" |
the workforce of company x is X% 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 ?
If the answer to the question is 288, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. most C. tiny amount D. few | B | 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 ? | "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" |
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 X% . how many employees did the company have after hiring the additional male workers ?
If the answer to the question is 288, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. most C. small amount D. all | B | 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 ? | "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" |
if y exceeds x by X% , then x is less than y by ?
If the answer to the question is 20 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. most C. some D. none | C | if y exceeds x by 25 % , then x is less than y by ? | "x = 100 y = 125 125 - - - - - - - - 25 100 - - - - - - - - ? = > 20 % answer : c" |
albert invested rs . 8000 in a scheme for 2 years at compound interest rate X% p . a . how much amount will albert get on maturity of the fixed deposit ?
If the answer to the question is 8820, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. small amount C. some D. tiny amount | A | 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 ? | "amount = [ 8000 * ( 1 + 5 / 100 ) 2 ] = 8000 * 21 / 20 * 21 / 20 = rs . 8820 answer : e" |
a person buys an article at $ 600 . at what price should he sell the article so as to make a profit of X% ?
If the answer to the question is 648, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. all C. few D. small amount | C | a person buys an article at $ 600 . at what price should he sell the article so as to make a profit of 8 % ? | "c 648 cost price = $ 600 profit = 8 % of 600 = $ 48 selling price = cost price + profit = 600 + 48 = 648" |
a , b and c are partners in a business . their capitals are respectively , rs . 5000 , rs . 6000 and rs . 4000 . a gets X% of the total profit for managing the business . the remaining profit is divided among 3 in the ratio of their capitals . in the end of the year , the profit of a is rs . 200 more than the sum of the profits of b and c . find the total profit ?
If the answer to the question is 3000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. some C. tiny amount D. moderate amount | D | a , b and c are partners in a business . their capitals are respectively , rs . 5000 , rs . 6000 and rs . 4000 . a gets 30 % of the total profit for managing the business . the remaining profit is divided among 3 in the ratio of their capitals . in the end of the year , the profit of a is rs . 200 more than the sum of the profits of b and c . find the total profit ? | a : b : c = 5 : 6 : 4 let the total profit = 100 - 30 = 70 5 / 15 * 70 = 70 / 3 a share = 70 / 3 + 30 = 160 / 3 b + c share = 100 - 160 / 3 = 140 / 3 a - ( b + c ) = 160 / 3 - 140 / 3 = 20 / 3 20 / 3 - - - - 200 100 - - - - ? = > 3000 answer : d |
farm tax is levied on the X% of the cultivated land . the tax department collected total $ 3840 through the farm tax from the village of mr . willam . mr . willam paid only $ 480 as farm tax . the percentage of total land of mr . willam over the total taxable land of the village is :
If the answer to the question is 27.78 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. moderate amount C. none D. few | B | farm tax is levied on the 45 % of the cultivated land . the tax department collected total $ 3840 through the farm tax from the village of mr . willam . mr . willam paid only $ 480 as farm tax . the percentage of total land of mr . willam over the total taxable land of the village is : | "only trick n this question is to ignore 45 % information as farm tax is levied uniformly in the village and that includes mr william ' s land . what percentage of tax mr william paid ? this will be equal to the percentage of total cultivated land he holds over the total cultivated land in the village . that leads to ( 480 / 3840 ) x 100 = 12.5 % in percentage terms . but the question asks ratio between his total land to total cultivated land . hence the answer is 12.5 % x ( 100 / 45 ) = 27.78 % and the answer is not there in the options . the correct answer is ( d ) ." |
the value of a machine depreciates at X% 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 . 30,000 is made ?
If the answer to the question is 126000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. some C. few D. small amount | D | 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 . 30,000 is made ? | "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 . 30,000 is made = 96,000 + 30,000 = rs . 1 , 26,000 answer : e" |
a 440 - liter solution of kola is made from X% 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 ?
If the answer to the question is 4.52 % ., then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. moderate amount C. tiny amount D. small amount | A | 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 ? | "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" |
a 440 - liter solution of kola is made from 8X% 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 ?
If the answer to the question is 4.52 % ., then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. some C. few D. moderate amount | C | 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 ? | "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" |
a person borrows 20000 for 6 years at X% 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 .
If the answer to the question is 200, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. most C. small amount D. few | D | 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 . | gain in 6 years = [ ( 20000 Γ£ β 9 Γ£ β 6 / 100 ) Γ’ Λ β ( 20000 Γ£ β 6 Γ£ β 8 / 100 ) ] = ( 10800 Γ’ β¬ β 9600 ) = 1200 Γ’ Λ Β΄ gain in 6 year = ( 1200 / 6 ) = 200 answer a |
a person borrows 20000 for 6 years at 8 % p . a . simple interest . he immediately lends it to another person at X% p . a . for 6 years . find his gain in the transaction per year .
If the answer to the question is 200, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. small amount C. most D. some | A | 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 . | gain in 6 years = [ ( 20000 Γ£ β 9 Γ£ β 6 / 100 ) Γ’ Λ β ( 20000 Γ£ β 6 Γ£ β 8 / 100 ) ] = ( 10800 Γ’ β¬ β 9600 ) = 1200 Γ’ Λ Β΄ gain in 6 year = ( 1200 / 6 ) = 200 answer a |
if the probability of rain on any given day in chicago during the summer is X% , independent of what happens on any other day , what is the probability of having exactly 3 rainy days from july 4 through july 8 , inclusive ?
If the answer to the question is 5 / 16, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. some C. most D. none | A | if the probability of rain on any given day in chicago during the summer is 50 % , independent of what happens on any other day , what is the probability of having exactly 3 rainy days from july 4 through july 8 , inclusive ? | "from july 4 to july 8 , we have total of 5 days . prob of raining on exactly 3 days = 5 c 3 β ( 1 / 2 ) 3 β ( 1 / 2 ) 25 c 3 β ( 1 / 2 ) 3 β ( 1 / 2 ) 2 = 5 / 16 ans : c" |
a dishonest person wants to make a profit on the selling of milk . he would like to mix water ( costing nothing ) with milk costing 33 $ per litre so as to make a profit of X% on cost when he sells the resulting milk and water mixture for 36 $ . in what ratio should he mix the water and milk ?
If the answer to the question is 67 : 120, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. moderate amount C. small amount D. some | A | a dishonest person wants to make a profit on the selling of milk . he would like to mix water ( costing nothing ) with milk costing 33 $ per litre so as to make a profit of 70 % on cost when he sells the resulting milk and water mixture for 36 $ . in what ratio should he mix the water and milk ? | "first of all , let ' s consider 1 liter of the stuff he is going to sell - - - naive customers think it ' s pure milk , but we know it ' s some milk - water mixture . he is going to sell this liter of milk - water for $ 36 . this $ 36 should be a 20 % increase over cost . here , we need to think about percentage increases as multipliers . using multipliers ( cost ) * 1.70 = $ 36 cost = 36 / 1.7 = 360 / 12 = $ 30 if he wants a 70 % increase over cost on the sale of one liter of his milk - water , the cost has to be $ 21.17 well , a liter of milk costs $ 33 , so if he is going to use just $ 30 of milk in his mixture , that ' s 21.17 / 33 = 120 / 187 of a liter . if milk is 120 / 87 of the liter , then water is 67 / 187 of the liter , and the ratio of water to milk is 67 : 120 . answer choice ( b )" |
in a school of 300 boys , X% of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?
If the answer to the question is 54, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. small amount C. tiny amount D. moderate amount | D | 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 ? | "44 + 28 + 10 = 82 % 100 β 82 = 18 % 300 * 18 / 100 = 54 answer : a" |
in a school of 300 boys , 44 % of muslims , X% hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?
If the answer to the question is 54, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. small amount C. moderate amount D. most | A | 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 ? | "44 + 28 + 10 = 82 % 100 β 82 = 18 % 300 * 18 / 100 = 54 answer : a" |
in a school of 300 boys , 44 % of muslims , 28 % hindus , X% sikhs and the remaining of other communities . how many belonged to the other communities ?
If the answer to the question is 54, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. small amount C. few D. tiny amount | C | 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 ? | "44 + 28 + 10 = 82 % 100 β 82 = 18 % 300 * 18 / 100 = 54 answer : a" |
the population of a town increases X% and 40 % respectively in two consecutive years . after the growth the present population of the town is 1750 . then what is the population of the town 2 years ago ?
If the answer to the question is b ) 800, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. some C. few D. moderate amount | B | the population of a town increases 25 % and 40 % respectively in two consecutive years . after the growth the present population of the town is 1750 . then what is the population of the town 2 years ago ? | "explanation : formula : ( after = 100 denominator ago = 100 numerator ) 1750 * 100 / 125 * 100 / 140 = 1000 answer : option b" |
the population of a town increases 25 % and X% respectively in two consecutive years . after the growth the present population of the town is 1750 . then what is the population of the town 2 years ago ?
If the answer to the question is b ) 800, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. none C. most D. moderate amount | D | the population of a town increases 25 % and 40 % respectively in two consecutive years . after the growth the present population of the town is 1750 . then what is the population of the town 2 years ago ? | "explanation : formula : ( after = 100 denominator ago = 100 numerator ) 1750 * 100 / 125 * 100 / 140 = 1000 answer : option b" |
the salary of a typist was at first raised by X% and then the same was reduced by 5 % . if he presently draws rs . 4180 . what was his original salary ?
If the answer to the question is 4000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. none C. few D. most | C | 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 ? | "x * ( 110 / 100 ) * ( 95 / 100 ) = 4180 x * ( 11 / 10 ) * ( 1 / 100 ) = 44 x = 4000 answer : c" |
the salary of a typist was at first raised by 10 % and then the same was reduced by X% . if he presently draws rs . 4180 . what was his original salary ?
If the answer to the question is 4000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. few C. small amount D. moderate amount | B | 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 ? | "x * ( 110 / 100 ) * ( 95 / 100 ) = 4180 x * ( 11 / 10 ) * ( 1 / 100 ) = 44 x = 4000 answer : c" |
a fruit seller had some apples . he sells X% apples and still he has 5000 . originally he had how many apples ?
If the answer to the question is 10000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. none C. most D. moderate amount | D | a fruit seller had some apples . he sells 50 % apples and still he has 5000 . originally he had how many apples ? | "suppose originally he had x apples then ( 100 - 50 ) % of x = 5000 50 x / 100 = 5000 x = 10000 answer is a" |
a X% stock yielding 12 % is quoted at :
If the answer to the question is rs . 167, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. small amount C. few D. most | B | a 20 % stock yielding 12 % is quoted at : | "income of rs 12 on investment of rs 100 income of rs 20 on investment of ? = ( 20 * 100 ) / 12 = 167 answer : b" |
a 20 % stock yielding X% is quoted at :
If the answer to the question is rs . 167, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. moderate amount C. some D. few | D | a 20 % stock yielding 12 % is quoted at : | "income of rs 12 on investment of rs 100 income of rs 20 on investment of ? = ( 20 * 100 ) / 12 = 167 answer : b" |
bill made a profit of X% by selling a product . if he had purchased that product for 10 % less and sold it at a profit of 30 % , he would have received $ 63 more . what was his original selling price ?
If the answer to the question is $ 990, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. small amount C. tiny amount D. few | D | bill made a profit of 10 % by selling a product . if he had purchased that product for 10 % less and sold it at a profit of 30 % , he would have received $ 63 more . what was his original selling price ? | "let p be the original purchase price of the product . bill originally sold the product for 1.1 * p . in the second scenario , the purchase price is 0.9 * p . a 30 % profit means the selling price would be 1.3 * 0.9 * p = 1.17 * p thus , according to the information in the question , 1.17 p - 1.1 p = 63 0.07 = 63 p = 900 the original selling price was 900 * 1.1 = 990 . the correct answer is b ." |
bill made a profit of 10 % by selling a product . if he had purchased that product for X% less and sold it at a profit of 30 % , he would have received $ 63 more . what was his original selling price ?
If the answer to the question is $ 990, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. few C. some D. most | B | bill made a profit of 10 % by selling a product . if he had purchased that product for 10 % less and sold it at a profit of 30 % , he would have received $ 63 more . what was his original selling price ? | "let p be the original purchase price of the product . bill originally sold the product for 1.1 * p . in the second scenario , the purchase price is 0.9 * p . a 30 % profit means the selling price would be 1.3 * 0.9 * p = 1.17 * p thus , according to the information in the question , 1.17 p - 1.1 p = 63 0.07 = 63 p = 900 the original selling price was 900 * 1.1 = 990 . the correct answer is b ." |
bill made a profit of 10 % by selling a product . if he had purchased that product for 10 % less and sold it at a profit of X% , he would have received $ 63 more . what was his original selling price ?
If the answer to the question is $ 990, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. tiny amount C. most D. moderate amount | D | bill made a profit of 10 % by selling a product . if he had purchased that product for 10 % less and sold it at a profit of 30 % , he would have received $ 63 more . what was his original selling price ? | "let p be the original purchase price of the product . bill originally sold the product for 1.1 * p . in the second scenario , the purchase price is 0.9 * p . a 30 % profit means the selling price would be 1.3 * 0.9 * p = 1.17 * p thus , according to the information in the question , 1.17 p - 1.1 p = 63 0.07 = 63 p = 900 the original selling price was 900 * 1.1 = 990 . the correct answer is b ." |
on a certain road X% 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 ?
If the answer to the question is 20 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. tiny amount C. few D. all | C | 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 ? | 0.1 m = 0.50 e = > e / m = 1 / 5 * 100 = 20 % so answer is e . m - # of motorists e - # of motorists exceeding speed |
on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but X% 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 ?
If the answer to the question is 20 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. small amount C. all D. some | A | 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 ? | 0.1 m = 0.50 e = > e / m = 1 / 5 * 100 = 20 % so answer is e . m - # of motorists e - # of motorists exceeding speed |
a towel , when bleached , was found to have lost X% of its length and 10 % of its breadth . the percentage of decrease in area is
If the answer to the question is 28 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. small amount C. tiny amount D. some | B | 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 | "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 )" |
a towel , when bleached , was found to have lost 20 % of its length and X% of its breadth . the percentage of decrease in area is
If the answer to the question is 28 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. moderate amount C. none D. all | A | 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 | "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 )" |
in a department store prize box , X% of the notes give the winner a dreamy vacation ; the other notes are blank . what is the approximate probability that 3 out of 5 people that draw the notes one after the other , and immediately return their note into the box get a dreamy vacation ?
If the answer to the question is 0.23, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. moderate amount C. none D. all | B | in a department store prize box , 40 % of the notes give the winner a dreamy vacation ; the other notes are blank . what is the approximate probability that 3 out of 5 people that draw the notes one after the other , and immediately return their note into the box get a dreamy vacation ? | the probability of winning is 40 % = 40 / 100 = 2 / 5 . the probability of not winning is 60 % = 3 / 5 . p ( wwwnn ) = 5 ! 3 ! 2 ! β ( 25 ) 3 β ( 35 ) 2 = 144625 β 23 p ( wwwnn ) = 5 ! 3 ! 2 ! β ( 25 ) 3 β ( 35 ) 2 = 144625 β 23 ( we multiply by 5 ! 3 ! 2 ! 5 ! 3 ! 2 ! , because wwwnn scenario can occur in several ways : wwwnn , wwnwn , wnwwn , nwwwn , . . . the # of such cases basically equals to the # of permutations of 5 letters wwwnn , which is 5 ! 3 ! 2 ! 5 ! 3 ! 2 ! ) . answer : b . |
the salary of a person was reduced by X% . by what percent should his reduced salary be raised so as to bring it at par with his original salary ?
If the answer to the question is 38.9 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. some C. tiny amount D. all | B | 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 ? | "let the original salary be $ 100 new salary = $ 72 increase on 72 = 28 increase on 100 = [ ( 28 / 72 ) 100 ] % = 38.9 % answer is e" |
each of the products produced yesterday was checked by worker x or worker y . X% of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.55 % , what fraction of the products was checked by worker y ?
If the answer to the question is 1 / 6, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. none C. moderate amount D. some | B | each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.55 % , what fraction of the products was checked by worker y ? | "x : 0.5 % is 0.05 % - points from 0.55 % . y : 0.8 % is 0.25 % - points from 0.55 % . therefore the ratio of products checked by y : x is 1 : 5 . thus , worker y checked 1 / 6 of the products . the answer is d ." |
each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and X% of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.55 % , what fraction of the products was checked by worker y ?
If the answer to the question is 1 / 6, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. some C. none D. tiny amount | C | each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.55 % , what fraction of the products was checked by worker y ? | "x : 0.5 % is 0.05 % - points from 0.55 % . y : 0.8 % is 0.25 % - points from 0.55 % . therefore the ratio of products checked by y : x is 1 : 5 . thus , worker y checked 1 / 6 of the products . the answer is d ." |
each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is X% , what fraction of the products was checked by worker y ?
If the answer to the question is 1 / 6, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. small amount C. none D. most | C | each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.55 % , what fraction of the products was checked by worker y ? | "x : 0.5 % is 0.05 % - points from 0.55 % . y : 0.8 % is 0.25 % - points from 0.55 % . therefore the ratio of products checked by y : x is 1 : 5 . thus , worker y checked 1 / 6 of the products . the answer is d ." |
a baseball card decreased in value X% 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 ?
If the answer to the question is 46 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. none C. moderate amount D. all | C | 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 ? | "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" |
a baseball card decreased in value 40 % in its first year and X% in its second year . what was the total percent decrease of the card ' s value over the two years ?
If the answer to the question is 46 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. small amount C. few D. tiny amount | C | 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 ? | "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" |
if a lends rs . 3150 to b at X% 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 ?
If the answer to the question is 283.5, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. most C. moderate amount D. all | A | 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 ? | "( 3150 * 4.5 * 2 ) / 100 = > 283.5 answer : c" |
if a lends rs . 3150 to b at 8 % per annum and b lends the same sum to c at X% per annum then the gain of b in a period of 2 years is ?
If the answer to the question is 283.5, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. some C. small amount D. few | D | 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 ? | "( 3150 * 4.5 * 2 ) / 100 = > 283.5 answer : c" |
X% of a number is more than 40 % of 120 by 180 . find the number ?
If the answer to the question is 456, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. tiny amount C. small amount D. moderate amount | D | 50 % of a number is more than 40 % of 120 by 180 . find the number ? | "( 50 / 100 ) * x β ( 40 / 100 ) * 120 = 180 1 / 2 x = 228 x = 456 answer : a" |
50 % of a number is more than X% of 120 by 180 . find the number ?
If the answer to the question is 456, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. none C. moderate amount D. few | C | 50 % of a number is more than 40 % of 120 by 180 . find the number ? | "( 50 / 100 ) * x β ( 40 / 100 ) * 120 = 180 1 / 2 x = 228 x = 456 answer : a" |
sheela deposits rs . 5000 in bank savings account . if this is X% of her monthly income . what is her monthly income in ?
If the answer to the question is 25000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. small amount C. some D. tiny amount | B | sheela deposits rs . 5000 in bank savings account . if this is 20 % of her monthly income . what is her monthly income in ? | "explanation : 20 % of income = rs . 5000 100 % of income = 5000 x 100 / 20 = rs . 25000 answer : c" |
how much is X% of 45 is greater than 4 / 5 of 25 ?
If the answer to the question is 16, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. some C. small amount D. all | D | how much is 80 % of 45 is greater than 4 / 5 of 25 ? | "( 80 / 100 ) * 45 Γ’ β¬ β ( 4 / 5 ) * 25 36 - 20 = 16 answer : c" |
a farmer spent $ 37 on feed for chickens and goats . he spent X% money on chicken feed , which he bought at a 20 % 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 ?
If the answer to the question is $ 40.70, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. most C. few D. none | A | a farmer spent $ 37 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a 20 % 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 ? | "a farmer spent 40 % money on chicken feed , so he spent 0.4 * $ 37 = $ 14.8 on chicken feed , thus he spent the remaining 37 - 14.8 = $ 22.2 on goat feed . now , since he bought chicken feed at a 20 % discount then the original price of it was x * 0.8 = $ 14.8 - - > x = $ 18.5 . therefore if the farmer had paid full price for both the chicken feed and the goat feed , then he would he have spent 18.5 + 22.2 = $ 40.7 . answer : e" |
a farmer spent $ 37 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a X% 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 ?
If the answer to the question is $ 40.70, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. none C. tiny amount D. most | A | a farmer spent $ 37 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a 20 % 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 ? | "a farmer spent 40 % money on chicken feed , so he spent 0.4 * $ 37 = $ 14.8 on chicken feed , thus he spent the remaining 37 - 14.8 = $ 22.2 on goat feed . now , since he bought chicken feed at a 20 % discount then the original price of it was x * 0.8 = $ 14.8 - - > x = $ 18.5 . therefore if the farmer had paid full price for both the chicken feed and the goat feed , then he would he have spent 18.5 + 22.2 = $ 40.7 . answer : e" |
a reduction of X% in the price of oil enables a house wife to obtain 4 kgs more for rs . 600 , what is the reduced price for kg ?
If the answer to the question is 30, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. small amount C. none D. moderate amount | B | 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 ? | "600 * ( 20 / 100 ) = 120 - - - - 4 ? - - - - 1 = > rs . 30 answer : d" |
after spending rs . 5000 on rent , rs . 1500 on milk , rs . 4500 on groceries , rs . 2500 on childrens education rs . 2000 on petrol and rs . 2500 on miscellaneous expenses , mr . kishore saved X% of his monthly salary . how much did he save in rs . ?
If the answer to the question is 2000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. most C. few D. all | C | after spending rs . 5000 on rent , rs . 1500 on milk , rs . 4500 on groceries , rs . 2500 on childrens education rs . 2000 on petrol and rs . 2500 on miscellaneous expenses , mr . kishore saved 10 % of his monthly salary . how much did he save in rs . ? | "explanation : total exp = 5000 + 1500 + 4500 + 2500 + 2000 + 2500 = 18000 exp in % = 100 - 10 = 90 % , 18000 = 90 % saving = 10 % = 18000 x 10 / 90 = rs . 2000 answer : c" |
the banker Γ’ β¬ β’ s gain on a sum due 3 years hence at X% per annum is rs . 60 . the banker Γ’ β¬ β’ s discount is
If the answer to the question is rs . 260, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. none C. small amount D. few | D | the banker Γ’ β¬ β’ s gain on a sum due 3 years hence at 10 % per annum is rs . 60 . the banker Γ’ β¬ β’ s discount is | "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" |
robert ' s salary was decreased by X% and subsequently increased by 70 % . how much percentage does he lose ?
If the answer to the question is 49 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. none C. small amount D. most | D | robert ' s salary was decreased by 70 % and subsequently increased by 70 % . how much percentage does he lose ? | "let original salary be $ 100 salary after decreasing 70 % = 100 - 100 x 70 / 100 = $ 30 salary after increasing 70 % on $ 30 = 30 + 30 x 70 / 100 = $ 51 percentage of loss = 100 - 51 = 49 % answer : e" |
robert ' s salary was decreased by 70 % and subsequently increased by X% . how much percentage does he lose ?
If the answer to the question is 49 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. moderate amount C. most D. few | C | robert ' s salary was decreased by 70 % and subsequently increased by 70 % . how much percentage does he lose ? | "let original salary be $ 100 salary after decreasing 70 % = 100 - 100 x 70 / 100 = $ 30 salary after increasing 70 % on $ 30 = 30 + 30 x 70 / 100 = $ 51 percentage of loss = 100 - 51 = 49 % answer : e" |
the difference between the value of a number increased by X% and the value of the original number decreased by 25 % is 30 . what is the original number e ?
If the answer to the question is 80, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. some C. most D. none | A | the difference between the value of a number increased by 12.5 % and the value of the original number decreased by 25 % is 30 . what is the original number e ? | "( 1 + 1 / 8 ) x - ( 1 - 1 / 4 ) x = 30 ( 9 / 8 ) x - ( 3 / 4 ) x = 30 x = 80 = e answer : b" |
the difference between the value of a number increased by 12.5 % and the value of the original number decreased by X% is 30 . what is the original number e ?
If the answer to the question is 80, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. some C. small amount D. few | B | the difference between the value of a number increased by 12.5 % and the value of the original number decreased by 25 % is 30 . what is the original number e ? | "( 1 + 1 / 8 ) x - ( 1 - 1 / 4 ) x = 30 ( 9 / 8 ) x - ( 3 / 4 ) x = 30 x = 80 = e answer : b" |
a merchant marks his goods up by X% and then offers a discount of 10 % on the marked price . what % profit does the merchant make after the discount ?
If the answer to the question is 17 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. some C. most D. all | A | 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 ? | "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" |
a merchant marks his goods up by 30 % and then offers a discount of X% on the marked price . what % profit does the merchant make after the discount ?
If the answer to the question is 17 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. most C. few D. all | C | 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 ? | "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" |
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 X% more sprockets per hour than machine a . how many sprockets per hour does machineaproduce ?
If the answer to the question is 4.4, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. none C. some D. few | D | 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 % more sprockets per hour than machine a . how many sprockets per hour does machineaproduce ? | "time taken by b = t time taken by a = t + 10 qty produced by a = q qty produced by b = 1.1 q for b : t ( 1.1 q ) = 440 qt = 400 for a : ( t + 10 ) ( q ) = 440 qt + 10 q = 440 400 + 10 q = 440 q = 4 so a can produce 4 / hour . then b can produce = 4 ( 1.1 ) = 4.4 / hour . d" |
90 students represent x percent of the boys at jones elementary school . if the boys at jones elementary make up X% of the total school population of x students , what is x ?
If the answer to the question is 122, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. most C. some D. all | B | 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 ? | "90 = x / 100 * 60 / 100 * x = > x ^ 2 = 9 * 10000 / 6 = > x = 122 a" |
if john makes a contribution to a charity fund at school , the average contribution size will increase by X% reaching $ 75 per person . if there were 3 other contributions made before john ' s , what is the size of his donation ?
If the answer to the question is $ 150, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. tiny amount C. all D. moderate amount | D | if john makes a contribution to a charity fund at school , the average contribution size will increase by 50 % reaching $ 75 per person . if there were 3 other contributions made before john ' s , what is the size of his donation ? | "cavg = average contribution before john cavg * 1.5 = 75 , therefore the average cont is $ 50 before john . if he needs to increase the average contribution by $ 25 , he must put in $ 25 for each of the 3 people . so $ 75 . but , he also has to put in the average for himself ( the fourth person ) , so add $ 75 . so $ 150 is your answer . answer b" |
a man saves X% of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 20 % , he is only able to save rs . 250 per month . what is his monthly salary ?
If the answer to the question is 6250, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. all C. some D. small amount | D | a man saves 20 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 20 % , he is only able to save rs . 250 per month . what is his monthly salary ? | "income = rs . 100 expenditure = rs . 80 savings = rs . 20 present expenditure 80 * ( 20 / 100 ) = rs . 96 present savings = 100 Γ’ β¬ β 96 = rs . 4 100 - - - - - - 4 ? - - - - - - - - - 250 = > 6250 answer : d" |
a man saves 20 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by X% , he is only able to save rs . 250 per month . what is his monthly salary ?
If the answer to the question is 6250, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. small amount C. none D. all | B | a man saves 20 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 20 % , he is only able to save rs . 250 per month . what is his monthly salary ? | "income = rs . 100 expenditure = rs . 80 savings = rs . 20 present expenditure 80 * ( 20 / 100 ) = rs . 96 present savings = 100 Γ’ β¬ β 96 = rs . 4 100 - - - - - - 4 ? - - - - - - - - - 250 = > 6250 answer : d" |
if 15 students in a class average X% on an exam and 10 students average 90 % on the same exam , what is the average in percent for all 25 students ?
If the answer to the question is 81 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. moderate amount C. most D. few | C | if 15 students in a class average 75 % on an exam and 10 students average 90 % on the same exam , what is the average in percent for all 25 students ? | "( 15 * 75 + 10 * 90 ) / 25 = 81 % the answer is b ." |
if 15 students in a class average 75 % on an exam and 10 students average X% on the same exam , what is the average in percent for all 25 students ?
If the answer to the question is 81 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. most C. few D. all | D | if 15 students in a class average 75 % on an exam and 10 students average 90 % on the same exam , what is the average in percent for all 25 students ? | "( 15 * 75 + 10 * 90 ) / 25 = 81 % the answer is b ." |
at an election 2 candidates are participated and a candidate got X% of votes and defeated by 500 . and 10 votes are invalid . find the total polled votes ?
If the answer to the question is 843, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. all C. tiny amount D. small amount | D | 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 ? | "winner votes = 100 - 20 = 80 polled votes = [ ( 100 * 500 ) / 2 * 80 - 100 ] + 10 = 843 ( approximately ) answer is a" |
barbata invests $ 2200 in the national bank at X% . how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment ?
If the answer to the question is 1100, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. moderate amount C. none D. few | D | barbata invests $ 2200 in the national bank at 5 % . how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment ? | "let the additional invested amount for 8 % interest be x ; equation will be ; 2200 + 0.05 * 2200 + x + 0.08 x = 2200 + x + 0.06 ( 2200 + x ) 0.05 * 2200 + 0.08 x = 0.06 x + 0.06 * 2200 0.02 x = 2200 ( 0.06 - 0.05 ) x = 2200 * 0.01 / 0.02 = 1100 ans : ` ` a ' '" |
barbata invests $ 2200 in the national bank at 5 % . how much additional money must she invest at X% so that the total annual income will be equal to 6 % of her entire investment ?
If the answer to the question is 1100, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. some C. few D. most | C | barbata invests $ 2200 in the national bank at 5 % . how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment ? | "let the additional invested amount for 8 % interest be x ; equation will be ; 2200 + 0.05 * 2200 + x + 0.08 x = 2200 + x + 0.06 ( 2200 + x ) 0.05 * 2200 + 0.08 x = 0.06 x + 0.06 * 2200 0.02 x = 2200 ( 0.06 - 0.05 ) x = 2200 * 0.01 / 0.02 = 1100 ans : ` ` a ' '" |
barbata invests $ 2200 in the national bank at 5 % . how much additional money must she invest at 8 % so that the total annual income will be equal to X% of her entire investment ?
If the answer to the question is 1100, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. most C. moderate amount D. few | D | barbata invests $ 2200 in the national bank at 5 % . how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment ? | "let the additional invested amount for 8 % interest be x ; equation will be ; 2200 + 0.05 * 2200 + x + 0.08 x = 2200 + x + 0.06 ( 2200 + x ) 0.05 * 2200 + 0.08 x = 0.06 x + 0.06 * 2200 0.02 x = 2200 ( 0.06 - 0.05 ) x = 2200 * 0.01 / 0.02 = 1100 ans : ` ` a ' '" |
a bookseller sells his books at a X% markup in price . if he sells a book for $ 36.00 , how much did he pay for it ?
If the answer to the question is $ 30.00, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. small amount C. moderate amount D. all | B | a bookseller sells his books at a 20 % markup in price . if he sells a book for $ 36.00 , how much did he pay for it ? | "let the cost price of book = x selling price of book = 36 $ markup % = 20 ( 120 / 100 ) x = 36 = > x = 30 answer d" |
the wages earned by robin is X% more than that earned by erica . the wages earned by charles is 60 % more than that earned by erica . how much % is the wages earned by charles more than that earned by robin ?
If the answer to the question is 27.53 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. some C. none D. tiny amount | A | the wages earned by robin is 38 % more than that earned by erica . the wages earned by charles is 60 % more than that earned by erica . how much % is the wages earned by charles more than that earned by robin ? | "explanatory answer let the wages earned by erica be $ 100 then , wages earned by robin and charles will be $ 138 and $ 160 respectively . charles earns $ 38 more than robin who earns $ 138 . therefore , charles ' wage is 38 / 138 * 100 = 27.53 % . the correct choice is ( b )" |
the wages earned by robin is 38 % more than that earned by erica . the wages earned by charles is X% more than that earned by erica . how much % is the wages earned by charles more than that earned by robin ?
If the answer to the question is 27.53 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. none C. tiny amount D. some | A | the wages earned by robin is 38 % more than that earned by erica . the wages earned by charles is 60 % more than that earned by erica . how much % is the wages earned by charles more than that earned by robin ? | "explanatory answer let the wages earned by erica be $ 100 then , wages earned by robin and charles will be $ 138 and $ 160 respectively . charles earns $ 38 more than robin who earns $ 138 . therefore , charles ' wage is 38 / 138 * 100 = 27.53 % . the correct choice is ( b )" |
in an examination , 300 students appeared . out of these students ; X% got first division , 54 % got second division and the remaining just passed . assuming that no student failed ; find the number of students who just passed .
If the answer to the question is 60, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. some C. most D. small amount | B | in an examination , 300 students appeared . out of these students ; 26 % got first division , 54 % got second division and the remaining just passed . assuming that no student failed ; find the number of students who just passed . | "the number of students with first division = 26 % of 300 = 26 / 100 Γ 300 = 7800 / 100 = 78 and , the number of students with second division = 54 % of 300 = 54 / 100 Γ 300 = 16200 / 100 = 162 therefore , the number of students who just passed = 300 β ( 78 + 162 ) = 60 answer : d" |
in an examination , 300 students appeared . out of these students ; 26 % got first division , X% got second division and the remaining just passed . assuming that no student failed ; find the number of students who just passed .
If the answer to the question is 60, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. some C. tiny amount D. most | D | in an examination , 300 students appeared . out of these students ; 26 % got first division , 54 % got second division and the remaining just passed . assuming that no student failed ; find the number of students who just passed . | "the number of students with first division = 26 % of 300 = 26 / 100 Γ 300 = 7800 / 100 = 78 and , the number of students with second division = 54 % of 300 = 54 / 100 Γ 300 = 16200 / 100 = 162 therefore , the number of students who just passed = 300 β ( 78 + 162 ) = 60 answer : d" |
if the simple interest on a certain amount in at X% rate 5 years amounted to rs 1920 less than the principal . what was the principal ?
If the answer to the question is 2400, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. small amount C. tiny amount D. none | C | 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 ? | "p - 1920 = ( p * 5 * 4 ) / 100 p = 2400 answer : e" |
11 is subtracted from X% of a number and results is 23 . what is the number ?
If the answer to the question is 85, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. most C. moderate amount D. none | C | 11 is subtracted from 40 % of a number and results is 23 . what is the number ? | "( 40 / 100 ) * x Γ’ β¬ β 11 = 23 4 x = 340 x = 85 answer : d" |
the present worth of rs . 845 due in 2 years at X% per annum compound interest is
If the answer to the question is rs . 781.25, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. tiny amount C. moderate amount D. some | B | the present worth of rs . 845 due in 2 years at 4 % per annum compound interest is | "solution present worth = rs . [ 845 / ( 1 + 4 / 100 ) Β² ] = rs . ( 845 x 25 / 26 x 25 / 26 ) = rs . 781.25 answer c" |
on the first of the year , james invested x dollars at proudstar bank in an account that yields X% in interest every quarter year . at the end of the year , during which he made no additional deposits or withdrawals , he had y dollars in the account . if james had invested the same amount in an account which pays interest on a yearly basis , what must the interest rate be for james to have y dollars at the end of the year ?
If the answer to the question is 16.25 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. few C. moderate amount D. most | A | on the first of the year , james invested x dollars at proudstar bank in an account that yields 4 % in interest every quarter year . at the end of the year , during which he made no additional deposits or withdrawals , he had y dollars in the account . if james had invested the same amount in an account which pays interest on a yearly basis , what must the interest rate be for james to have y dollars at the end of the year ? | per quarter , interest = 4 % so for a year , interest = 16 % due to quarter cumulation , effective yield ( ytm ) would be slight higher than 16.25 % answer = 16.25 % = answer : d |
jim is able to sell a hand - carved statue for $ 620 which was a X% profit over his cost . how much did the statue originally cost him ?
If the answer to the question is $ 496.00, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. all C. small amount D. few | A | 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 ? | "620 = 1.25 * x x = 620 / 1.25 = 496.00 which rounds to $ 496.00 , which is ( a ) ." |
a student has to obtain X% of the total marks to pass . he got 125 marks and failed by 40 marks . the maximum marks are ?
If the answer to the question is 500, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. moderate amount C. few D. some | B | a student has to obtain 33 % of the total marks to pass . he got 125 marks and failed by 40 marks . the maximum marks are ? | "let the maximum marks be x then , 33 % of x = 125 + 40 33 x / 100 = 165 x = 500 answer is c" |
a sum was put at simple interest at a certain rate for 10 years . had it been put at X% higher rate , it would have fetched rs . 600 more . what was the sum ?
If the answer to the question is rs . 1200, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. all C. few D. some | C | 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 ? | "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 Γ 100 / 5 = rs . 1200 answer : a" |
albert invested rs . 6500 in a scheme for 2 years at compound interest rate X% p . a . how much amount will albert get on maturity of the fixed deposit ?
If the answer to the question is s . 7372.46, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. most C. tiny amount D. few | D | 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 ? | amount = [ 6500 * ( 1 + 6.5 / 100 ) 2 ] = 6500 * 106.5 / 100 * 106.5 / 100 = rs . 7372.46 answer : e |
keats library purchases a number of new books , all in the category of biography , and the library does not acquire any other books . with the addition of the new biographies , the biography collection of the library amounts to X% of the total number of books in the library . if prior to the purchase , only 20 % of the books in keats library were biographies , by what percent has the number of biographies in the library increased ?
If the answer to the question is 71 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. moderate amount C. most D. some | B | keats library purchases a number of new books , all in the category of biography , and the library does not acquire any other books . with the addition of the new biographies , the biography collection of the library amounts to 30 % of the total number of books in the library . if prior to the purchase , only 20 % of the books in keats library were biographies , by what percent has the number of biographies in the library increased ? | "let x be the number of new biographies added to the library . let b be the original number of biographies , so the original number of books was 5 b . 0.3 ( 5 b + x ) = b + x 0.5 b = 0.7 x x = 0.71 b the answer is c ." |
keats library purchases a number of new books , all in the category of biography , and the library does not acquire any other books . with the addition of the new biographies , the biography collection of the library amounts to 30 % of the total number of books in the library . if prior to the purchase , only X% of the books in keats library were biographies , by what percent has the number of biographies in the library increased ?
If the answer to the question is 71 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. moderate amount C. none D. small amount | D | keats library purchases a number of new books , all in the category of biography , and the library does not acquire any other books . with the addition of the new biographies , the biography collection of the library amounts to 30 % of the total number of books in the library . if prior to the purchase , only 20 % of the books in keats library were biographies , by what percent has the number of biographies in the library increased ? | "let x be the number of new biographies added to the library . let b be the original number of biographies , so the original number of books was 5 b . 0.3 ( 5 b + x ) = b + x 0.5 b = 0.7 x x = 0.71 b the answer is c ." |
country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of X% of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 8 % . if ron imported a $ 14,000 imported car and ended up paying $ 1440 in taxes , what is the first tier ' s price level ?
If the answer to the question is $ 8000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. moderate amount C. tiny amount D. few | D | country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 12 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 8 % . if ron imported a $ 14,000 imported car and ended up paying $ 1440 in taxes , what is the first tier ' s price level ? | "let t be the tier price , p be total price = 14000 per the given conditions : 0.12 t + 0.08 ( p - t ) = 1440 - - - - > t = 8000 . e is the correct answer ." |
country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 12 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is X% . if ron imported a $ 14,000 imported car and ended up paying $ 1440 in taxes , what is the first tier ' s price level ?
If the answer to the question is $ 8000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. tiny amount C. few D. most | C | country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 12 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 8 % . if ron imported a $ 14,000 imported car and ended up paying $ 1440 in taxes , what is the first tier ' s price level ? | "let t be the tier price , p be total price = 14000 per the given conditions : 0.12 t + 0.08 ( p - t ) = 1440 - - - - > t = 8000 . e is the correct answer ." |
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 X% higher than her regular rate . how much mary can earn in a week ?
If the answer to the question is 660, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. all C. some D. none | C | 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 ? | "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 ." |
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 X% . what is the approximate interest he pays annually ?
If the answer to the question is $ 1750, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. moderate amount C. tiny amount D. none | C | 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 4 % . what is the approximate interest he pays annually ? | "an easy way too attempt this is by approximation : for the first quarter , he pays 4 % of 10,000 which is $ 400 . so for the four quarters in the year , he will approximately play 400 * 4 = 1600 over the entire year . because of compound interest it will be more than 1600 . approx . option a is correct . answer : a" |
a student has to obtain X% of the total marks to pass . he got 200 marks and failed by 20 marks . the maximum marks are ?
If the answer to the question is 440, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. none C. all D. few | A | a student has to obtain 50 % of the total marks to pass . he got 200 marks and failed by 20 marks . the maximum marks are ? | "let the maximum marks be x then , 50 % of x = 200 + 20 50 x / 100 = 220 50 x = 220 * 100 = 22000 x = 440 answer is e" |
the tax on a commodity is diminished by X% but its consumption is increased by 10 % . find the decrease percent in the revenue derived from it ?
If the answer to the question is 12 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. some C. small amount D. all | C | the tax on a commodity is diminished by 20 % but its consumption is increased by 10 % . find the decrease percent in the revenue derived from it ? | "answer : option d 100 * 100 = 10000 80 * 110 = 8800 10000 - - - - - - - 1200 100 - - - - - - - ? = 12 %" |
the tax on a commodity is diminished by 20 % but its consumption is increased by X% . find the decrease percent in the revenue derived from it ?
If the answer to the question is 12 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. some C. small amount D. few | D | the tax on a commodity is diminished by 20 % but its consumption is increased by 10 % . find the decrease percent in the revenue derived from it ? | "answer : option d 100 * 100 = 10000 80 * 110 = 8800 10000 - - - - - - - 1200 100 - - - - - - - ? = 12 %" |
a store sells chairs and tables . if the price of 2 chairs and 1 table is X% 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 . )
If the answer to the question is 63, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. most C. few D. small amount | B | 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 . ) | "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" |
a small pool filled only with water will require an additional 300 gallons of water in order to be filled to X% of its capacity . if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 25 % , what is the total capacity of the pool in gallons ?
If the answer to the question is 1875, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. all C. moderate amount D. small amount | B | a small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 25 % , what is the total capacity of the pool in gallons ? | "300 gallons of water increases capacity by 25 % that means 25 % is 300 gallons , so 100 % would be = 300 * 100 / 25 = 1200 gallons now 1200 + 300 gallons is 80 % capacity of tank . so 100 % capacity would be = 1500 * 100 / 80 = 1875 a is the answer" |
a small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 300 gallons of water will increase the amount of water in the pool by X% , what is the total capacity of the pool in gallons ?
If the answer to the question is 1875, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. moderate amount C. few D. some | D | a small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 25 % , what is the total capacity of the pool in gallons ? | "300 gallons of water increases capacity by 25 % that means 25 % is 300 gallons , so 100 % would be = 300 * 100 / 25 = 1200 gallons now 1200 + 300 gallons is 80 % capacity of tank . so 100 % capacity would be = 1500 * 100 / 80 = 1875 a is the answer" |
heinz produces tomato puree by boiling tomato juice . the tomato puree has only X% water while the tomato juice has 90 % water . how many liters of tomato puree will be obtained from 20 litres of tomato juice ?
If the answer to the question is 2.5 liters ., then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. few C. moderate amount D. some | A | 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 ? | "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 . β β 10 % ( 20 ) = 80 % ( x ) β β x = 2.5 liters . answer : b" |
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