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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 that road exceed the posted speed limit ?
If the answer to the question is 12.5 %, 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 | D | 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 ? | 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 |
a man took a loan at rate of X% per annum simple interest . after 3 years he had to pay 7200 interest . the principal amount borrowed by him was .
If the answer to the question is rs 20000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. some C. small amount D. none | A | 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 . | "explanation : s . i . = p â ˆ — r â ˆ — t / 100 = > p = s . i . â ˆ — 100 / r â ˆ — t = > p = 7200 â ˆ — 100 / 12 â ˆ — 3 = rs 20000 option d" |
i had rs . 10000 with me . out of this , money i lent some money to a for 2 years at X% 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
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. few B. all C. small amount D. some | C | 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 | 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 |
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 X% 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
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. some B. all C. none D. small amount | D | 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 | 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 |
the concentration of spirit in 3 different vessels a , b and c are X% , 30 % and 10 % respectively . if 4 litres from vessel a , 5 litres from vessel b and 6 litres from vessel c are mixed , find the concentration of spirit in the resultant solution .
If the answer to the question is 26 %, 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. none | C | the concentration of spirit in 3 different vessels a , b and c are 45 % , 30 % and 10 % respectively . if 4 litres from vessel a , 5 litres from vessel b and 6 litres from vessel c are mixed , find the concentration of spirit in the resultant solution . | quantity of spirit in new solution = ( 4 * 45 / 100 ) + ( 5 * 30 / 100 ) + ( 6 * 10 / 100 ) = 1.8 + 1.5 + 0.6 = 3.9 liters so % concentration of spirit = 100 * 3.9 / ( 4 + 5 + 6 ) = 26 % answer : a |
the concentration of spirit in 3 different vessels a , b and c are 45 % , X% and 10 % respectively . if 4 litres from vessel a , 5 litres from vessel b and 6 litres from vessel c are mixed , find the concentration of spirit in the resultant solution .
If the answer to the question is 26 %, 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. moderate amount D. none | C | the concentration of spirit in 3 different vessels a , b and c are 45 % , 30 % and 10 % respectively . if 4 litres from vessel a , 5 litres from vessel b and 6 litres from vessel c are mixed , find the concentration of spirit in the resultant solution . | quantity of spirit in new solution = ( 4 * 45 / 100 ) + ( 5 * 30 / 100 ) + ( 6 * 10 / 100 ) = 1.8 + 1.5 + 0.6 = 3.9 liters so % concentration of spirit = 100 * 3.9 / ( 4 + 5 + 6 ) = 26 % answer : a |
the concentration of spirit in 3 different vessels a , b and c are 45 % , 30 % and X% respectively . if 4 litres from vessel a , 5 litres from vessel b and 6 litres from vessel c are mixed , find the concentration of spirit in the resultant solution .
If the answer to the question is 26 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. few C. small amount D. some | B | the concentration of spirit in 3 different vessels a , b and c are 45 % , 30 % and 10 % respectively . if 4 litres from vessel a , 5 litres from vessel b and 6 litres from vessel c are mixed , find the concentration of spirit in the resultant solution . | quantity of spirit in new solution = ( 4 * 45 / 100 ) + ( 5 * 30 / 100 ) + ( 6 * 10 / 100 ) = 1.8 + 1.5 + 0.6 = 3.9 liters so % concentration of spirit = 100 * 3.9 / ( 4 + 5 + 6 ) = 26 % answer : a |
a number is increased by X% and then decreased by 20 % . find the net increase or decrease per cent .
If the answer to the question is 4 %, 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. small amount | D | a number is increased by 20 % and then decreased by 20 % . find the net increase or decrease per cent . | "let the number be 100 . increase in the number = 20 % = 20 % of 100 = ( 20 / 100 ã — 100 ) = 20 therefore , increased number = 100 + 20 = 120 this number is decreased by 20 % therefore , decrease in number = 20 % of 120 = ( 20 / 100 ã — 120 ) = 2400 / 100 = 24 therefore , new number = 120 - 24 = 96 thus , net decreases = 100 - 96 = 4 hence , net percentage decrease = ( 4 / 100 ã — 100 ) % = ( 400 / 100 ) % = 4 % answer : e" |
a number is increased by 20 % and then decreased by X% . find the net increase or decrease per cent .
If the answer to the question is 4 %, 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. none | A | a number is increased by 20 % and then decreased by 20 % . find the net increase or decrease per cent . | "let the number be 100 . increase in the number = 20 % = 20 % of 100 = ( 20 / 100 ã — 100 ) = 20 therefore , increased number = 100 + 20 = 120 this number is decreased by 20 % therefore , decrease in number = 20 % of 120 = ( 20 / 100 ã — 120 ) = 2400 / 100 = 24 therefore , new number = 120 - 24 = 96 thus , net decreases = 100 - 96 = 4 hence , net percentage decrease = ( 4 / 100 ã — 100 ) % = ( 400 / 100 ) % = 4 % answer : e" |
a sum of $ 800 amounts to $ 920 in 3 years at simple interest . if the interest rate is increased by X% it would amount to how much ?
If the answer to the question is $ 992, 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. tiny amount | D | 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 ? | 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 |
what will be the compound interest on a sum of rs . 28,000 after 3 years at the rate of X% p . a . ?
If the answer to the question is s . 11337.98, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. some C. small amount D. few | D | what will be the compound interest on a sum of rs . 28,000 after 3 years at the rate of 12 % p . a . ? | "amount = [ 28000 * ( 1 + 12 / 100 ) 3 ] = 28000 * 28 / 25 * 28 / 25 * 28 / 25 = rs . 39337.984 c . i . = ( 39337.984 - 28000 ) = rs . 11337.98 answer : e" |
X% people of a village in sri lanka died by bombardment , 20 % of the remainder left the village on account of fear . if now the population is reduced to 4554 , how much was it in the beginning ?
If the answer to the question is 6325, 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 | 10 % people of a village in sri lanka died by bombardment , 20 % of the remainder left the village on account of fear . if now the population is reduced to 4554 , how much was it in the beginning ? | "x * ( 90 / 100 ) * ( 80 / 100 ) = 4554 x = 6325 answer : c" |
10 % people of a village in sri lanka died by bombardment , X% of the remainder left the village on account of fear . if now the population is reduced to 4554 , how much was it in the beginning ?
If the answer to the question is 6325, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. none C. tiny amount D. small amount | D | 10 % people of a village in sri lanka died by bombardment , 20 % of the remainder left the village on account of fear . if now the population is reduced to 4554 , how much was it in the beginning ? | "x * ( 90 / 100 ) * ( 80 / 100 ) = 4554 x = 6325 answer : c" |
in an election between two candidates , one got X% 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 ?
If the answer to the question is 2700, 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. moderate amount | B | 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 ? | "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" |
in an election between two candidates , one got 55 % of the total valid votes . X% 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 ?
If the answer to the question is 2700, 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. tiny amount | A | 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 ? | "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" |
indu gave bindu rs . 625 on compound interest for 2 years at X% per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?
If the answer to the question is 1, 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. tiny amount D. few | C | 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 ? | "625 = d ( 100 / 4 ) 2 d = 1 answer : a" |
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 X% per annum simple interest ?
If the answer to the question is 1, 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. some | C | 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 ? | "625 = d ( 100 / 4 ) 2 d = 1 answer : a" |
two numbers are less than third number by X% and 74 % respectively . how much percent is the second number less than by the first ?
If the answer to the question is 35 %, 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. tiny amount D. few | B | two numbers are less than third number by 60 % and 74 % respectively . how much percent is the second number less than by the first ? | "explanation : let the third number is x . then first number = ( 100 - 60 ) % of x = 40 % of x = 4 x / 10 second number is ( 26 x / 100 ) difference = 4 x / 10 - 26 x / 100 = 14 x / 10 so required percentage is , difference is what percent of first number = > ( 14 x / 100 * 10 / 4 x * 100 ) % = 35 % answer : c" |
two numbers are less than third number by 60 % and X% respectively . how much percent is the second number less than by the first ?
If the answer to the question is 35 %, 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. some | B | two numbers are less than third number by 60 % and 74 % respectively . how much percent is the second number less than by the first ? | "explanation : let the third number is x . then first number = ( 100 - 60 ) % of x = 40 % of x = 4 x / 10 second number is ( 26 x / 100 ) difference = 4 x / 10 - 26 x / 100 = 14 x / 10 so required percentage is , difference is what percent of first number = > ( 14 x / 100 * 10 / 4 x * 100 ) % = 35 % answer : 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 . 5200 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 2300, 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. some | A | 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 . 5200 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 + 5200 = 20700 exp in % = 100 - 10 = 90 % , 20700 = 90 % saving = 10 % = 20700 x 10 / 90 = rs . 2300 answer : d" |
at an elementary school , X% of the faculty members are women and 60 % of the faculty members are married . if 2 ⁄ 3 of the men are single , what fraction of the women are married ?
If the answer to the question is 5 ⁄ 7, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. few C. none D. most | D | at an elementary school , 70 % of the faculty members are women and 60 % of the faculty members are married . if 2 ⁄ 3 of the men are single , what fraction of the women are married ? | "plugging in numbers for this . assume 100 faculty members . 70 faculty members are women 30 faculty members are men 60 total faculty members are married 1 / 3 of men are married ( 10 ) , which means 20 men are single 10 of the 60 married faculty members are men , which means that 50 women are married . 50 / 70 women are married , reduced to 5 / 7 ans a" |
at an elementary school , 70 % of the faculty members are women and X% of the faculty members are married . if 2 ⁄ 3 of the men are single , what fraction of the women are married ?
If the answer to the question is 5 ⁄ 7, 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 | D | at an elementary school , 70 % of the faculty members are women and 60 % of the faculty members are married . if 2 ⁄ 3 of the men are single , what fraction of the women are married ? | "plugging in numbers for this . assume 100 faculty members . 70 faculty members are women 30 faculty members are men 60 total faculty members are married 1 / 3 of men are married ( 10 ) , which means 20 men are single 10 of the 60 married faculty members are men , which means that 50 women are married . 50 / 70 women are married , reduced to 5 / 7 ans a" |
the present population of a town is 3744 . population increase rate is X% p . a . find the population of town before 2 years ?
If the answer to the question is 2600, 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. none D. some | A | the present population of a town is 3744 . population increase rate is 20 % p . a . find the population of town before 2 years ? | "p = 3744 r = 20 % required population of town = p / ( 1 + r / 100 ) ^ t = 3744 / ( 1 + 20 / 100 ) ^ 2 = 3744 / ( 6 / 5 ) ^ 2 = 2600 ( approximately ) answer is b" |
at joes steakhouse the hourly wage for a chef is X% greater than that of a dishwasher , and the hourly wage of a dishwasher is half as much as the hourly wage of a manager . if a managers wage is $ 6.50 per hour , how much less than a manager does a chef earn each hour ?
If the answer to the question is $ 2.6, 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 | C | at joes steakhouse the hourly wage for a chef is 20 % greater than that of a dishwasher , and the hourly wage of a dishwasher is half as much as the hourly wage of a manager . if a managers wage is $ 6.50 per hour , how much less than a manager does a chef earn each hour ? | manager wages per hour = $ 6.50 dishwasher wages per hour = half of manager ' s wages . = 1 / 2 ( $ 6.50 ) = = > $ 3.25 chef wages per hour = 20 % greater than dishwasher wages - - > 20 % of $ 3.25 = ( 20 * ( $ 3.25 ) ) / 100 - - > ( $ 65 ) / 100 - - > $ 0.65 therefore , chef wages per hour = $ 3.25 + $ 0.65 = = > $ 3.9 difference of wages between manager and chef = $ 6.50 - $ 3.9 = = > $ 2.6 answer : a |
the original price of a suit is $ 160 . the price increased X% , and after this increase , the store published a 25 % off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting 25 % off the increased price , how much did these consumers pay for the suit ?
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. some B. few C. small amount D. tiny amount | A | the original price of a suit is $ 160 . the price increased 25 % , and after this increase , the store published a 25 % off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting 25 % off the increased price , how much did these consumers pay for the suit ? | 0.75 * ( 1.25 * 160 ) = $ 150 the answer is c . |
the original price of a suit is $ 160 . the price increased 25 % , and after this increase , the store published a X% off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting 25 % off the increased price , how much did these consumers pay for the suit ?
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. none B. moderate amount C. some D. most | C | the original price of a suit is $ 160 . the price increased 25 % , and after this increase , the store published a 25 % off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting 25 % off the increased price , how much did these consumers pay for the suit ? | 0.75 * ( 1.25 * 160 ) = $ 150 the answer is c . |
the original price of a suit is $ 160 . the price increased 25 % , and after this increase , the store published a 25 % off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting X% off the increased price , how much did these consumers pay for the suit ?
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. none C. some D. moderate amount | C | the original price of a suit is $ 160 . the price increased 25 % , and after this increase , the store published a 25 % off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting 25 % off the increased price , how much did these consumers pay for the suit ? | 0.75 * ( 1.25 * 160 ) = $ 150 the answer is c . |
a merchant sells an item at a X% discount , but still makes a gross profit of 40 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 ?
If the answer to the question is 75 %, 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. tiny amount | C | a merchant sells an item at a 20 % discount , but still makes a gross profit of 40 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 ? | "original sp = x cost = c current selling price = . 8 x ( 20 % discount ) . 8 x = 1.4 c ( 40 % profit ) x = 1.4 / . 8 * c x = 7 / 4 c original selling price is 1.75 c which is 75 % profit answer e" |
in a village there are 150 men and 90 women in present time . if in next year population will be p = ( a ^ 2 + b ^ 2 ) ^ 1 / 2 , and in every year men are reduces X% . what is population of after 2 year .
If the answer to the question is 147, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. tiny amount C. none D. most | B | in a village there are 150 men and 90 women in present time . if in next year population will be p = ( a ^ 2 + b ^ 2 ) ^ 1 / 2 , and in every year men are reduces 4 % . what is population of after 2 year . | "next year total population = [ 150 ^ 2 + 90 ^ 2 ] ^ . 5 = 174.92 = 175 man decreased by 4 % so total man = 150 * . 96 = 144 women will be = 175 - 144 = 31 so population after two years = [ 135 ^ 2 + 31 ^ 2 ] ^ . 5 = 147.30 = 147 so population after two year = 147 answer : e" |
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 $ 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 . )
If the answer to the question is 56, 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. none D. moderate amount | A | 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 . ) | "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" |
in an election between the two candidates , the candidates who gets X% of votes polled is wined by 280 votes majority . what is the total number of votes polled ?
If the answer to the question is 1400, 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. most D. tiny amount | C | 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 ? | note : majority ( 20 % ) = difference in votes polled to win ( 60 % ) & defeated candidates ( 40 % ) 20 % = 60 % - 40 % 20 % - - - - - > 280 ( 20 × 14 = 280 ) 100 % - - - - - > 1400 ( 100 × 14 = 1400 ) a |
a man gains X% by selling an article for a certain price . if he sells it at double the price , the percentage of profit will be .
If the answer to the question is 180 %, 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. tiny amount D. few | A | a man gains 40 % by selling an article for a certain price . if he sells it at double the price , the percentage of profit will be . | "explanation : let the c . p . = x , then s . p . = ( 140 / 100 ) x = 7 x / 5 new s . p . = 2 ( 7 x / 5 ) = 14 x / 5 profit = 14 x / 5 - x = 9 x / 5 profit % = ( profit / c . p . ) * 100 = > ( 9 x / 5 ) * ( 1 / x ) * 100 = 180 % option b" |
on increasing the price of t . v . sets by X% , their sale decreases by 20 % . what is the effect on the revenue receipts of the shop ?
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. some B. few C. moderate amount D. all | C | 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 ? | "explanation : let the price be = rs . 100 , and number of units sold = 100 then , sale value = rs . ( 100 × 100 ) = rs . 10000 new sale value = rs . ( 140 × 80 ) = rs . 11200 increase % = 1200 / 10000 × 100 = 12 % answer : d" |
on increasing the price of t . v . sets by 40 % , their sale decreases by X% . what is the effect on the revenue receipts of the shop ?
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. small amount C. few D. tiny amount | B | 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 ? | "explanation : let the price be = rs . 100 , and number of units sold = 100 then , sale value = rs . ( 100 × 100 ) = rs . 10000 new sale value = rs . ( 140 × 80 ) = rs . 11200 increase % = 1200 / 10000 × 100 = 12 % answer : d" |
a X% stock yields 8 % . the market value of the stock is :
If the answer to the question is rs . 125, 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. none D. few | D | a 10 % stock yields 8 % . the market value of the stock is : | "solution to obtain rs . 8 , investment = rs . 100 . to obtain rs . 10 , investment = rs . ( 100 / 8 x 10 ) = rs . 125 ∴ market value of rs . 100 stock = rs . 125 answer b" |
a 10 % stock yields X% . the market value of the stock is :
If the answer to the question is rs . 125, 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. some D. moderate amount | B | a 10 % stock yields 8 % . the market value of the stock is : | "solution to obtain rs . 8 , investment = rs . 100 . to obtain rs . 10 , investment = rs . ( 100 / 8 x 10 ) = rs . 125 ∴ market value of rs . 100 stock = rs . 125 answer b" |
a certain sum is invested at simple interest at X% 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 ?
If the answer to the question is 2500, 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. most D. few | A | 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 ? | "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" |
a certain sum is invested at simple interest at 18 % p . a . for two years instead of investing at X% p . a . for the same time period . therefore the interest received is more by rs . 300 . find the sum ?
If the answer to the question is 2500, 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. all D. few | D | 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 ? | "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" |
the compound interest on $ 30,000 at X% p . a is $ . 4347 . find out the period ( in years ) ?
If the answer to the question is 2, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. all C. tiny amount D. none | A | the compound interest on $ 30,000 at 7 % p . a is $ . 4347 . find out the period ( in years ) ? | "amount = 30,000 + 4347 = 34347 . . . . . . . . . now by using compound interest formula we get , 30,000 * ( 107 / 100 ) ^ n = 34347 = = = = > n = 2 years ans - c" |
in the forestside summer camp there are 50 children . X% of the children are boys and the rest are girls . the camp administrator decided to make the number of girls only 5 % of the total number of children in the camp . how many more boys must she bring to make that happen ?
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. tiny amount B. all C. most D. some | B | in the forestside summer camp there are 50 children . 90 % of the children are boys and the rest are girls . the camp administrator decided to make the number of girls only 5 % of the total number of children in the camp . how many more boys must she bring to make that happen ? | given there are 50 students in the forestside summer camp , 90 % of 50 = 45 boys and remaining 5 girls . now here 90 % are boys and 10 % are girls . now question is asking about how many boys do we need to add , to make the girls percentage to 5 or 5 % . . if we add 50 to existing 45 then the count will be 95 and the girls number will be 5 as it . now boys are 95 % and girls are 5 % . ( out of 100 students = 95 boys + 5 girls ) . imo option a is correct . |
in the forestside summer camp there are 50 children . 90 % of the children are boys and the rest are girls . the camp administrator decided to make the number of girls only X% of the total number of children in the camp . how many more boys must she bring to make that happen ?
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. few B. all C. small amount D. moderate amount | A | in the forestside summer camp there are 50 children . 90 % of the children are boys and the rest are girls . the camp administrator decided to make the number of girls only 5 % of the total number of children in the camp . how many more boys must she bring to make that happen ? | given there are 50 students in the forestside summer camp , 90 % of 50 = 45 boys and remaining 5 girls . now here 90 % are boys and 10 % are girls . now question is asking about how many boys do we need to add , to make the girls percentage to 5 or 5 % . . if we add 50 to existing 45 then the count will be 95 and the girls number will be 5 as it . now boys are 95 % and girls are 5 % . ( out of 100 students = 95 boys + 5 girls ) . imo option a is correct . |
the nasdaq index has decreased by X% since year 2000 . how much should the index increase in order to gain the same value as in year 2000 ?
If the answer to the question is 233 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. all C. most D. few | C | the nasdaq index has decreased by 70 % since year 2000 . how much should the index increase in order to gain the same value as in year 2000 ? | let x be the index in the year 2000 . after the decrease it becomes 0.3 x now for 0.3 x to reach 1 x it has to raise by 0.7 x . the increase needs to be 0.7 x / 0.3 x * 100 = 233.3 % answer c |
a dishonest dealer claims to sell a product at its cost price . he uses a counterfeit weight which is X% less than the real weight . further greed overtook him and he added 40 % impurities to the product . find the net profit percentage of the dealer ?
If the answer to the question is 87.5 %, 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. most | C | a dishonest dealer claims to sell a product at its cost price . he uses a counterfeit weight which is 20 % less than the real weight . further greed overtook him and he added 40 % impurities to the product . find the net profit percentage of the dealer ? | "the dealer uses weight which is 20 % less than the real weight . or ( 1 - 1 / 5 ) or 4 / 5 of real weight . it means that he is selling $ 4 worth of product for $ 5 . the dealer then further added 50 % impurities to the product . it means that he is selling $ 5 worth of product for $ 7.5 . so his profit is $ 7.5 - $ 4 = $ 3.5 and his profit percent is ( 3.5 / 4 ) * 100 = 87.5 % answer : - b" |
a dishonest dealer claims to sell a product at its cost price . he uses a counterfeit weight which is 20 % less than the real weight . further greed overtook him and he added X% impurities to the product . find the net profit percentage of the dealer ?
If the answer to the question is 87.5 %, 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. all | A | a dishonest dealer claims to sell a product at its cost price . he uses a counterfeit weight which is 20 % less than the real weight . further greed overtook him and he added 40 % impurities to the product . find the net profit percentage of the dealer ? | "the dealer uses weight which is 20 % less than the real weight . or ( 1 - 1 / 5 ) or 4 / 5 of real weight . it means that he is selling $ 4 worth of product for $ 5 . the dealer then further added 50 % impurities to the product . it means that he is selling $ 5 worth of product for $ 7.5 . so his profit is $ 7.5 - $ 4 = $ 3.5 and his profit percent is ( 3.5 / 4 ) * 100 = 87.5 % answer : - b" |
if the simple interest on a sum of money for 2 years at X% per annum is rs . 52 , what is the compound interest on the same sum at the rate and for the same time ?
If the answer to the question is s . 53.30, 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. tiny amount D. some | A | 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 ? | 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 |
the income tax in country x is X% of any income up to $ 5000 . for incomes over $ 5000 , an 8 % tax is imposed on the first $ 5000 , and a 10 % tax is imposed on the portion of the total income in excess of $ 5000 . if perry paid $ 950 in income tax last month , then what was perry ' s income ?
If the answer to the question is $ 10500, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. few C. tiny amount D. all | B | the income tax in country x is 8 % of any income up to $ 5000 . for incomes over $ 5000 , an 8 % tax is imposed on the first $ 5000 , and a 10 % tax is imposed on the portion of the total income in excess of $ 5000 . if perry paid $ 950 in income tax last month , then what was perry ' s income ? | given : for incomes over $ 5,000 , an 8 % tax is imposed on the first $ 5,000 , and a 10 % tax is imposed on the portion of the total income in excess of $ 5000 . if perry paid $ 950 in income tax last month , then what was perry ' s income ? for first 5000 , 8 % tax then we get 400 $ as tax . now perry paid 950 $ tax . . . we need to check which option is going to yield 550 $ on the remaining amount . a . $ 10,500 - 5000 = 5500 , then we get 10 % tax , we get 550 $ . . . ( $ 10,500 - 5000 - here already for 5000 $ we have calculated the tax and we need to tally for the remaining amount ) 550 + 400 = 950 $ . . . hence this is the option . answer : option a . |
the income tax in country x is 8 % of any income up to $ 5000 . for incomes over $ 5000 , an X% tax is imposed on the first $ 5000 , and a 10 % tax is imposed on the portion of the total income in excess of $ 5000 . if perry paid $ 950 in income tax last month , then what was perry ' s income ?
If the answer to the question is $ 10500, 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. none D. few | D | the income tax in country x is 8 % of any income up to $ 5000 . for incomes over $ 5000 , an 8 % tax is imposed on the first $ 5000 , and a 10 % tax is imposed on the portion of the total income in excess of $ 5000 . if perry paid $ 950 in income tax last month , then what was perry ' s income ? | given : for incomes over $ 5,000 , an 8 % tax is imposed on the first $ 5,000 , and a 10 % tax is imposed on the portion of the total income in excess of $ 5000 . if perry paid $ 950 in income tax last month , then what was perry ' s income ? for first 5000 , 8 % tax then we get 400 $ as tax . now perry paid 950 $ tax . . . we need to check which option is going to yield 550 $ on the remaining amount . a . $ 10,500 - 5000 = 5500 , then we get 10 % tax , we get 550 $ . . . ( $ 10,500 - 5000 - here already for 5000 $ we have calculated the tax and we need to tally for the remaining amount ) 550 + 400 = 950 $ . . . hence this is the option . answer : option a . |
the income tax in country x is 8 % of any income up to $ 5000 . for incomes over $ 5000 , an 8 % tax is imposed on the first $ 5000 , and a X% tax is imposed on the portion of the total income in excess of $ 5000 . if perry paid $ 950 in income tax last month , then what was perry ' s income ?
If the answer to the question is $ 10500, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. few C. small amount D. tiny amount | B | the income tax in country x is 8 % of any income up to $ 5000 . for incomes over $ 5000 , an 8 % tax is imposed on the first $ 5000 , and a 10 % tax is imposed on the portion of the total income in excess of $ 5000 . if perry paid $ 950 in income tax last month , then what was perry ' s income ? | given : for incomes over $ 5,000 , an 8 % tax is imposed on the first $ 5,000 , and a 10 % tax is imposed on the portion of the total income in excess of $ 5000 . if perry paid $ 950 in income tax last month , then what was perry ' s income ? for first 5000 , 8 % tax then we get 400 $ as tax . now perry paid 950 $ tax . . . we need to check which option is going to yield 550 $ on the remaining amount . a . $ 10,500 - 5000 = 5500 , then we get 10 % tax , we get 550 $ . . . ( $ 10,500 - 5000 - here already for 5000 $ we have calculated the tax and we need to tally for the remaining amount ) 550 + 400 = 950 $ . . . hence this is the option . answer : option a . |
a shopkeeper sold an book offering a discount of X% and earned a profit of 23.5 % . what would have been the percentage of profit earned if no discount was offered ?
If the answer to the question is 130, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. few C. all D. small amount | B | 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 ? | 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 % . |
a shopkeeper sold an book offering a discount of 5 % and earned a profit of X% . what would have been the percentage of profit earned if no discount was offered ?
If the answer to the question is 130, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. few C. most D. some | D | 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 ? | 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 % . |
last year sandy saved X% 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 ?
If the answer to the question is 66 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. all C. few D. tiny amount | C | 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 ? | "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 ." |
last year sandy saved 10 % of her annual salary . this year , she made X% 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 ?
If the answer to the question is 66 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. tiny amount C. few D. most | C | 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 ? | "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 ." |
last year sandy saved 10 % of her annual salary . this year , she made 10 % more money than last year , and she saved X% of her salary . the amount saved this year was what percent of the amount she saved last year ?
If the answer to the question is 66 %, 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. tiny amount D. few | D | 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 ? | "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 ." |
one fourth of a solution that was X% 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 ?
If the answer to the question is 40 %, 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. some | B | 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 ? | "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 ." |
a 340 - liter solution of kola is made from X% 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 ?
If the answer to the question is 7.5 % ., 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. tiny amount D. few | B | 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 ? | "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" |
a 340 - liter solution of kola is made from 88 % water , X% 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 7.5 % ., then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. few C. some D. moderate amount | B | 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 ? | "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" |
an empty wooden vessel weighs X% 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 .
If the answer to the question is 3 / 7, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. all C. few D. small amount | C | 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 . | "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 ." |
if $ 5,000 is invested in an account that earns X% 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 ?
If the answer to the question is $ 4, 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. none D. small amount | B | 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 ? | "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" |
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 X% simple yearly interest ?
If the answer to the question is $ 4, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. tiny amount C. small amount D. most | A | 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 ? | "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" |
a small pool filled only with water will require an additional 700 gallons of water in order to be filled to X% of its capacity . if pumping in these additional 700 gallons of water will increase the amount of water in the pool by 30 % , what is the total capacity of the pool in gallons ?
If the answer to the question is 2125, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. few C. most D. all | D | a small pool filled only with water will require an additional 700 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 700 gallons of water will increase the amount of water in the pool by 30 % , what is the total capacity of the pool in gallons ? | "since pumping in additional 700 gallons of water will increase the amount of water in the pool by 30 % , then initially the pool is filled with 1,000 gallons of water . so , we have that 1,000 + 700 = 0.8 * { total } - - > { total } = 2,125 . answer : e ." |
a small pool filled only with water will require an additional 700 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 700 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 2125, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. few C. most D. small amount | A | a small pool filled only with water will require an additional 700 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 700 gallons of water will increase the amount of water in the pool by 30 % , what is the total capacity of the pool in gallons ? | "since pumping in additional 700 gallons of water will increase the amount of water in the pool by 30 % , then initially the pool is filled with 1,000 gallons of water . so , we have that 1,000 + 700 = 0.8 * { total } - - > { total } = 2,125 . answer : e ." |
a company pays X% 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 ?
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. few B. all C. none D. small amount | A | 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 ? | 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 |
a company pays 12.5 % dividend to its investors . if an investor buys rs . 60 shares and gets X% on investment , at what price did the investor buy the shares ?
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. all B. some C. small amount D. none | B | 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 ? | 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 |
in a certain corporation , there are 300 male employees and 150 female employees . it is known that X% of the male employees have advanced degrees and 40 % of the females have advanced degrees . if one of the 450 employees is chosen at random , what is the probability this employee has an advanced degree or is female ?
If the answer to the question is 8 / 15, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. tiny amount C. moderate amount D. small amount | C | in a certain corporation , there are 300 male employees and 150 female employees . it is known that 30 % of the male employees have advanced degrees and 40 % of the females have advanced degrees . if one of the 450 employees is chosen at random , what is the probability this employee has an advanced degree or is female ? | "p ( female ) = 150 / 450 = 1 / 3 p ( male with advanced degree ) = 0.3 * 300 / 450 = 90 / 450 = 1 / 5 the sum of the probabilities is 8 / 15 the answer is d ." |
in a certain corporation , there are 300 male employees and 150 female employees . it is known that 30 % of the male employees have advanced degrees and X% of the females have advanced degrees . if one of the 450 employees is chosen at random , what is the probability this employee has an advanced degree or is female ?
If the answer to the question is 8 / 15, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. all C. some D. moderate amount | D | in a certain corporation , there are 300 male employees and 150 female employees . it is known that 30 % of the male employees have advanced degrees and 40 % of the females have advanced degrees . if one of the 450 employees is chosen at random , what is the probability this employee has an advanced degree or is female ? | "p ( female ) = 150 / 450 = 1 / 3 p ( male with advanced degree ) = 0.3 * 300 / 450 = 90 / 450 = 1 / 5 the sum of the probabilities is 8 / 15 the answer is d ." |
from the sale of sleeping bags , a retailer made a gross profit of X% of the wholesale cost . if each sleeping bag was sold for $ 28 , what was the wholesale cost per bag ?
If the answer to the question is 24.13, 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 | D | 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 ? | "cost price * 1.16 = selling price - - > cost price * 1.16 = $ 28 - - > cost price = $ 24.13 . answer : c ." |
there are 5 boxes in a cargo . the weight of the 1 st box is 200 kg , the weight of the 2 nd box is X% higher than the third box , whose weight is 25 % higher than the 1 st box weight . the 4 th box which weighs 350 kg is 30 % lighter than the 5 th box . find the difference in average weight of the 4 heaviest boxes and the 4 lightest boxes .
If the answer to the question is 75, 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. none D. all | B | there are 5 boxes in a cargo . the weight of the 1 st box is 200 kg , the weight of the 2 nd box is 20 % higher than the third box , whose weight is 25 % higher than the 1 st box weight . the 4 th box which weighs 350 kg is 30 % lighter than the 5 th box . find the difference in average weight of the 4 heaviest boxes and the 4 lightest boxes . | weight of 1 st box = 200 weight of 3 rd box = ( 125 / 100 ) * 200 = 250 weight of 2 nd box = ( 120 / 100 ) * 250 = 300 weight of 4 th box = 350 weight of 5 th box = ( 10 / 7 ) * 350 = 500 average of 4 highest weighted boxes = ( 500 + 350 + 300 + 250 ) / 4 = 350 average of 4 lightest boxes = ( 350 + 300 + 250 + 200 ) / 4 = 275 therefore difference = 350 - 275 = 75 answer : b |
there are 5 boxes in a cargo . the weight of the 1 st box is 200 kg , the weight of the 2 nd box is 20 % higher than the third box , whose weight is X% higher than the 1 st box weight . the 4 th box which weighs 350 kg is 30 % lighter than the 5 th box . find the difference in average weight of the 4 heaviest boxes and the 4 lightest boxes .
If the answer to the question is 75, 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. tiny amount | B | there are 5 boxes in a cargo . the weight of the 1 st box is 200 kg , the weight of the 2 nd box is 20 % higher than the third box , whose weight is 25 % higher than the 1 st box weight . the 4 th box which weighs 350 kg is 30 % lighter than the 5 th box . find the difference in average weight of the 4 heaviest boxes and the 4 lightest boxes . | weight of 1 st box = 200 weight of 3 rd box = ( 125 / 100 ) * 200 = 250 weight of 2 nd box = ( 120 / 100 ) * 250 = 300 weight of 4 th box = 350 weight of 5 th box = ( 10 / 7 ) * 350 = 500 average of 4 highest weighted boxes = ( 500 + 350 + 300 + 250 ) / 4 = 350 average of 4 lightest boxes = ( 350 + 300 + 250 + 200 ) / 4 = 275 therefore difference = 350 - 275 = 75 answer : b |
there are 5 boxes in a cargo . the weight of the 1 st box is 200 kg , the weight of the 2 nd box is 20 % higher than the third box , whose weight is 25 % higher than the 1 st box weight . the 4 th box which weighs 350 kg is X% lighter than the 5 th box . find the difference in average weight of the 4 heaviest boxes and the 4 lightest boxes .
If the answer to the question is 75, 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. few D. none | B | there are 5 boxes in a cargo . the weight of the 1 st box is 200 kg , the weight of the 2 nd box is 20 % higher than the third box , whose weight is 25 % higher than the 1 st box weight . the 4 th box which weighs 350 kg is 30 % lighter than the 5 th box . find the difference in average weight of the 4 heaviest boxes and the 4 lightest boxes . | weight of 1 st box = 200 weight of 3 rd box = ( 125 / 100 ) * 200 = 250 weight of 2 nd box = ( 120 / 100 ) * 250 = 300 weight of 4 th box = 350 weight of 5 th box = ( 10 / 7 ) * 350 = 500 average of 4 highest weighted boxes = ( 500 + 350 + 300 + 250 ) / 4 = 350 average of 4 lightest boxes = ( 350 + 300 + 250 + 200 ) / 4 = 275 therefore difference = 350 - 275 = 75 answer : b |
if each side of a square is increased by X% , find the percentage change in its area ?
If the answer to the question is 44 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. tiny amount C. few D. small amount | D | if each side of a square is increased by 20 % , find the percentage change in its area ? | "let each side of the square be a , then area = a x a new side = 120 a / 100 = 6 a / 5 new area = ( 6 a x 6 a ) / ( 5 x 5 ) = ( 36 a ² / 25 ) increased area = = ( 36 a ² / 25 ) - a ² increase % = [ ( 11 a ² / 25 ) x ( 1 / a ² ) x 100 ] % = 44 % answer : d" |
by selling 20 pencils for a rupee a man loses X% . how many for a rupee should he sell in order to gain 30 % ?
If the answer to the question is 10.75, 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 | by selling 20 pencils for a rupee a man loses 30 % . how many for a rupee should he sell in order to gain 30 % ? | "70 % - - - 20 130 % - - - ? 70 / 130 * 20 = 10.75 answer : b" |
by selling 20 pencils for a rupee a man loses 30 % . how many for a rupee should he sell in order to gain X% ?
If the answer to the question is 10.75, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. all C. moderate amount D. most | C | by selling 20 pencils for a rupee a man loses 30 % . how many for a rupee should he sell in order to gain 30 % ? | "70 % - - - 20 130 % - - - ? 70 / 130 * 20 = 10.75 answer : b" |
a man buys 60 pens at marked price of 46 pens from a whole seller . if he sells these pens giving a discount of X% , what is the profit percent ?
If the answer to the question is 29.13 %, 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. moderate amount | A | 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 ? | 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 |
a sells a bicycle to b and makes a profit of X% . 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 .
If the answer to the question is 144, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. some C. tiny amount D. most | B | 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 . | "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" |
a sells a bicycle to b and makes a profit of 25 % . b sells the same bicycle to c at a profit of X% . if the final s . p . of the bicycle was rs . 225 , find out the cost price of the bicycle for a .
If the answer to the question is 144, 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. some D. most | C | 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 . | "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" |
a bowl of fruit contains 14 apples and 21 oranges . how many oranges must be removed so that X% of the pieces of fruit in the bowl will be apples ?
If the answer to the question is 15, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. some C. most D. moderate amount | C | 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 ? | "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" |
the present worth of rs . 2310 due 2 years hence , the rate of interest being X% per annum , is :
If the answer to the question is 1680, 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. moderate amount | A | the present worth of rs . 2310 due 2 years hence , the rate of interest being 15 % per annum , is : | "p . w . = rs . 100 x 2310 = rs . 1680 . 100 + 15 x 5 2 answer : b" |
after decreasing X% in the price of an article costs rs . 684 . find the actual cost of an article ?
If the answer to the question is 900, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. some C. moderate amount D. most | B | after decreasing 24 % in the price of an article costs rs . 684 . find the actual cost of an article ? | "cp * ( 76 / 100 ) = 684 cp = 9 * 100 = > cp = 900 answer : c" |
ritesh and co . generated revenue of rs . 1,600 in 2006 . this was X% of its gross revenue . in 2007 , the gross revenue grew by rs . 2,500 . what is the percentage increase in the revenue in 2007 ?
If the answer to the question is 19.53 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. few C. moderate amount D. some | B | 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 ? | 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 ) × 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 ) × 100 . = > 19.53 % . answer : b |
how much is X% of 40 is greater than 4 / 5 of 30 ?
If the answer to the question is 0, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. all C. tiny amount D. most | D | how much is 60 % of 40 is greater than 4 / 5 of 30 ? | "( 60 / 100 ) * 40 â € “ ( 4 / 5 ) * 30 24 - 24 = 0 answer : d" |
indu gave bindu rs . 1875 on compound interest for 2 years at X% per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?
If the answer to the question is s . 3, 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. all D. some | A | 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 ? | "1875 = d ( 100 / 4 ) 2 d = 3 answer : d" |
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 X% per annum simple interest ?
If the answer to the question is s . 3, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. none C. all D. tiny amount | D | 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 ? | "1875 = d ( 100 / 4 ) 2 d = 3 answer : d" |
each of the cucumbers in 100 pounds of cucumbers is composed of X% water , by weight . after some of the water evaporates , the cucumbers are now 93 % water by weight . what is the new weight of the cucumbers , in pounds ?
If the answer to the question is 15, 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. moderate amount D. small amount | A | 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 93 % water by weight . what is the new weight of the cucumbers , in pounds ? | "out of 100 pounds 99 % or 99 pounds is water and 1 pound is non - water . after somewaterevaporates the cucumbers become 93 % water and 7 % of non - water , so now 1 pound of non - water composes 7 % of cucucmbers , which means that the new weight of cucumbers is 1 / 0.07 = 15 pounds . answer : b ." |
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 X% water by weight . what is the new weight of the cucumbers , in pounds ?
If the answer to the question is 15, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. all C. none D. some | B | 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 93 % water by weight . what is the new weight of the cucumbers , in pounds ? | "out of 100 pounds 99 % or 99 pounds is water and 1 pound is non - water . after somewaterevaporates the cucumbers become 93 % water and 7 % of non - water , so now 1 pound of non - water composes 7 % of cucucmbers , which means that the new weight of cucumbers is 1 / 0.07 = 15 pounds . answer : b ." |
find the simple interest on $ 1000 for 3 years at X% per annum ?
If the answer to the question is $ 300, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. few C. small amount D. all | B | find the simple interest on $ 1000 for 3 years at 10 % per annum ? | "si = ptr / 100 = 1000 * 3 * 10 / 100 = $ 300 answer is b" |
if a speaks the truth X% of the times , b speaks the truth 60 % of the times . what is the probability that they tell the truth at the same time
If the answer to the question is 0.33, 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. moderate amount D. most | D | 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 | "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 ) × p ( b ) = 0.55 × 0.6 = 0.33 answer : b" |
if a speaks the truth 55 % of the times , b speaks the truth X% of the times . what is the probability that they tell the truth at the same time
If the answer to the question is 0.33, 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. small amount | C | 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 | "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 ) × p ( b ) = 0.55 × 0.6 = 0.33 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 33.33 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. all C. few D. most | A | 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 ? | "let the original salary be $ 100 new salary = $ 75 increase on 75 = 25 increase on 100 = [ ( 25 / 75 ) 100 ] % = 33.33 % answer is b" |
john traveled X% of the way from yellow - town to green - fields by train at an average speed of 80 miles per hour . the rest of the way john traveled by car at an average speed of v miles per hour . if the average speed for the entire trip was 70 miles per hour , what is v in miles per hour ?
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. small amount C. most D. moderate amount | A | john traveled 80 % of the way from yellow - town to green - fields by train at an average speed of 80 miles per hour . the rest of the way john traveled by car at an average speed of v miles per hour . if the average speed for the entire trip was 70 miles per hour , what is v in miles per hour ? | "hibunuel the question seems incorrect . it should not be 80 % at the speed of 80 . however if it ' s 20 % at the speed of 80 , answer comes out 55 . the question is correct . here ' s the explanation : let distance be d . we can find the total timeequate it , which comes as : 0.8 d / 80 + 0.2 d / v = d / 70 = > v = 60 ( option e ) ." |
if X% of x is 15 less than 15 % of 1500 , then x is ?
If the answer to the question is 1050, 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. small amount D. all | C | if 20 % of x is 15 less than 15 % of 1500 , then x is ? | "20 % of x = x / 5 ; 15 % of 1500 = 15 / 100 * 1500 = 225 given that , x / 5 = 225 - 15 = > x / 5 = 210 = > x = 1050 . answer : e" |
if 20 % of x is 15 less than X% of 1500 , then x is ?
If the answer to the question is 1050, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. all C. most D. tiny amount | A | if 20 % of x is 15 less than 15 % of 1500 , then x is ? | "20 % of x = x / 5 ; 15 % of 1500 = 15 / 100 * 1500 = 225 given that , x / 5 = 225 - 15 = > x / 5 = 210 = > x = 1050 . answer : e" |
what is the normal price of an article sold at $ 72 after two successive discounts of X% and 20 % ?
If the answer to the question is $ 100, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. few C. all D. moderate amount | B | what is the normal price of an article sold at $ 72 after two successive discounts of 10 % and 20 % ? | 0.8 * 0.9 * cost price = $ 72 cost price = $ 100 the answer is c . |
what is the normal price of an article sold at $ 72 after two successive discounts of 10 % and X% ?
If the answer to the question is $ 100, 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. all D. tiny amount | B | what is the normal price of an article sold at $ 72 after two successive discounts of 10 % and 20 % ? | 0.8 * 0.9 * cost price = $ 72 cost price = $ 100 the answer is c . |
X% of x is greater than 1 / 3 rd of x by 110 . what is x ?
If the answer to the question is 300, 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. none | A | 70 % of x is greater than 1 / 3 rd of x by 110 . what is x ? | "7 x / 10 - x / 3 = 110 11 x / 30 = 110 x = 300 answer : c" |
in a competitive examination in state a , X% candidates got selected from the total appeared candidates . state b had an equal number of candidates appeared and 7 % candidates got selected with 80 more candidates got selected than a . what was the number of candidates appeared from each state ?
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. some B. all C. small amount D. few | D | in a competitive examination in state a , 6 % candidates got selected from the total appeared candidates . state b had an equal number of candidates appeared and 7 % candidates got selected with 80 more candidates got selected than a . what was the number of candidates appeared from each state ? | "state a and state b had an equal number of candidates appeared . in state a , 6 % candidates got selected from the total appeared candidates in state b , 7 % candidates got selected from the total appeared candidates but in state b , 80 more candidates got selected than state a from these , it is clear that 1 % of the total appeared candidates in state b = 80 = > total appeared candidates in state b = 80 x 100 = 8000 = > total appeared candidates in state a = total appeared candidates in state b = 8000" |
in a competitive examination in state a , 6 % candidates got selected from the total appeared candidates . state b had an equal number of candidates appeared and X% candidates got selected with 80 more candidates got selected than a . what was the number of candidates appeared from each state ?
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. small amount B. some C. tiny amount D. few | D | in a competitive examination in state a , 6 % candidates got selected from the total appeared candidates . state b had an equal number of candidates appeared and 7 % candidates got selected with 80 more candidates got selected than a . what was the number of candidates appeared from each state ? | "state a and state b had an equal number of candidates appeared . in state a , 6 % candidates got selected from the total appeared candidates in state b , 7 % candidates got selected from the total appeared candidates but in state b , 80 more candidates got selected than state a from these , it is clear that 1 % of the total appeared candidates in state b = 80 = > total appeared candidates in state b = 80 x 100 = 8000 = > total appeared candidates in state a = total appeared candidates in state b = 8000" |
the owner of a furniture shop charges his customer X% 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 ?
If the answer to the question is 800, 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. all | C | 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 ? | "cp = sp * ( 100 / ( 100 + profit % ) ) = 1000 ( 100 / 125 ) = rs . 800 . answer : e" |
a farmer has an apple orchard consisting of fuji and gala apple trees . due to high winds this year X% of his trees cross pollinated . the number of his trees that are pure fuji plus the cross - pollinated ones totals 153 , while 3 / 4 of all his trees are pure fuji . how many of his trees are pure gala ?
If the answer to the question is 27, 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. none | C | a farmer has an apple orchard consisting of fuji and gala apple trees . due to high winds this year 10 % of his trees cross pollinated . the number of his trees that are pure fuji plus the cross - pollinated ones totals 153 , while 3 / 4 of all his trees are pure fuji . how many of his trees are pure gala ? | "let f = pure fuji , g = pure gala and c - cross pollinated . c = 10 % of x where x is total trees . c = . 1 x also 3 x / 4 = f and c + f = 153 = > . 1 x + 3 / 4 x = 153 = > x = 180 180 - 153 = pure gala = 27 . d" |
the present population of a town is 2000 . population increase rate is X% p . a . find the population of town after 1 years ?
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. few B. some C. small amount D. none | C | the present population of a town is 2000 . population increase rate is 20 % p . a . find the population of town after 1 years ? | "p = 2000 r = 20 % required population of town = p ( 1 + r / 100 ) ^ t = 2000 ( 1 + 20 / 100 ) = 2000 ( 6 / 5 ) = 2400 answer is b" |
by selling an article at rs . 600 , a profit of X% is made . find its cost price ?
If the answer to the question is 375, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. none C. most D. small amount | C | by selling an article at rs . 600 , a profit of 60 % is made . find its cost price ? | "sp = 600 cp = ( sp ) * [ 100 / ( 100 + p ) ] = 600 * [ 100 / ( 100 + 60 ) ] = 600 * [ 100 / 160 ] = rs . 375 answer : c" |
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