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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A had Rs. 160 and B had Rs 140. A spent `20%` and B spent `30%` of the money they had. Who spent more money ? |
| Answer» Correct Answer - B | |
| 2. |
The total expenditure of a family in 1920 is Rs. 8,000. The cost of living indext for the year 1920 taking 1910 as the base year is 160. Then the expenditure of the family in the year 1910 was `"_______".`A. Rs. 3000B. Rs. 4000C. Rs. 5000D. Rs. 6000 |
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Answer» Correct Answer - C (i) Let the usual expenditure in 1910 be Rs. X. (ii) Cost of living indext `=("Total expenditure in the year 1920")/("Total expenditure in the year 1910")xx100` |
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| 3. |
the cost of a piece of land increases by 50% every year from 2005 onwards If the difference in the cost price of the land between the third and the second year is Rs 67,500 then find the cost of the land in 2005. |
| Answer» Correct Answer - `Rs 60,000` | |
| 4. |
If p denotes the percentage increase in the number of the first generation immigrants from 1995-2005 and q denotes the percentage increase in the total UK population from 1995-2005 find p-qA. `13.(1)/(3)%`B. `26.(2)/(3)%`C. `33.(1)/(3)%`D. `46.(2)/(3)%` |
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Answer» Correct Answer - B (i) Find P and Q using the given information (ii) First find the population of the first generation immigrants in 1995 and 2005 i.e., 2% of 6x and 2.4% of 8x (iii) then find percentage increase (q) (iv) `P= (2x)/(6x) (100)` and then find (p-q) |
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| 5. |
The cost of living indext for the year 2004 considering the base year as 2005 is Rs. 120. Find P.A. 36B. 40C. 45D. 50 |
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Answer» Correct Answer - B (i) Find the total expenditure in 2005 and 2007 (in terms of P) respectively. (ii) Find the total expenditure in 2005 and 2007. (iii) Use the formula to find the cost of living index. |
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| 6. |
In school X, the number of boys is more than that of the firls by `40%.` In school Y, the number of girls is more than that of boys by `50%.` If `50%` boys in school X is equal to `70%` of girls in school Y, what is the ratio between the number of students of school X and School Y?A. `24:25`B. `16:174`C. `3:4`D. `36:25` |
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Answer» Correct Answer - D (i) In school X, let the number of boys and girls be 140x and 100x and for school Y let it be 100y and 150y. In school X, let the number of girls = x, then number of boys `=(7x)/(5).` (iii) In school Y, let the number of boys = y, then number of girls `=(3y)/(2).` (iv) `(1)/(2)((7x)/(2)=(7)/(10)((3y)/(2))` |
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| 7. |
The students of a class wrote an exam. `20%` of the boys and `30%` of the girls failed in it. The number of boys who passed in it was 30 more than that of girls. A total of 74 students failed in it. Find the strength of the class.A. 280B. 300C. 320D. 260 |
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Answer» Correct Answer - B Let the number of boys and girls who wrote the exam be b and g respectively. Total number of those who failed `=20/700b=70/100g+74" "(1)` `80%` of the boys passed and `70%` of the girls passed. `=80/100b=70/100g+30" "(2)` Solving (1) and (2), b = 160 and g = 140. `therefore"Total strength of the class"180+140=300` |
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| 8. |
Ravi earned a sum of Rs. 10800 and donated `40%` of it to charity. He give `15%` of the remaining amount to Ramu. After giving `25%` of the remaining amount to Anitha, he deposited the rest in a bank. How much money did he deposit in the bank? |
| Answer» Correct Answer - 4131 | |
| 9. |
Rakesh pruchased a Tv for Rs 500. He paid Rs 250 for its transportation . If he sold the TV for Rs 5075 then find his profit or loss percentage . |
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Answer» Price at which the TV was bought =Rs 5000 Overheads in the form of transportation =Rs 250 `:. ` The total cost price of the `TV =(500 +250) =Rs 5250` Selling price of the TV =Rs 5075 `SP gt CP rArr ` there is loss The amount of loss =CP -SP =5250 -5075 =Rs 175 `:. " Loss percentage "=("Loss ")/(CP) (100)% =(175)/(5250) (100)% =(10)/(3)% =3.33 %` `:. ` Rakesh incurred a loss of 3.33% |
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| 10. |
If the cost price of 15 articles be equal to the selling price of 20 articles, then find the loss % in the transaction.A. 25% profitB. 20% profitC. 33.33% lossD. 25% loss |
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Answer» Correct Answer - D (i) Find SP and CP of 20 articles by taking CP of 1 article =Rs x (ii) As the CP of 15 articles is equal to the SP of 20 articles trader suffers loss. (iii) Let C = 15 and S=20 . Loss % `=((S-C)/(S))xx 100` |
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| 11. |
A total of 1100 votes were polled in a school election for a school head boy. Among three contestants, the first secured `25%` votes more than the second and the third secured 300 votes less than the first. By what percent of votes was the third contestant defecated by the first contestant? |
| Answer» Correct Answer - `60%` | |
| 12. |
The selling price of a TV, after giving two successive discounts, is Rs.15,840. If the marked price is Rs.20,000, then which of the following could be the successive discounts given on the marked price of the TV?A. 10,15B. 12,15C. 10,12D. 15,18 |
| Answer» Correct Answer - C | |
| 13. |
Koutons an apparel showroom offers two successive discounts of 50% and 20% what is the single equivalent discount percentage |
| Answer» Correct Answer - `60%` | |
| 14. |
In an examination, Salim secured `52%` marks and got 114 marks more than the pass marks and A zam secured `39%` marks and got 36 marks more than the pass mark. Find (a) The pass mark. (b) The pass percentage. |
| Answer» Correct Answer - `198,33%` | |
| 15. |
A has `50%` more marbles than B. If A gives 40 marbles to B, take the difference of the number of marbles with both will be 16. Find the number of marbles with B.A. 192B. 128C. Either (a) nor (b)D. neither (a) nar (b) |
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Answer» Correct Answer - C Let the number of marble with B be b. Number of marbles with A = 1.5b If A gives 40 marbles to B, number of marbles with A and B would be `(1.5b-40)and (b+40).` `(1.5b-40)-(b+40)=16or` `(b+40)-(1.5b-40)=16i.e., 0.5b-80=16 or 80-0.5` `therefore16b=192or128` |
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| 16. |
There are three numbers. The first number is `33^(1/3)%` more than the second number and `50%` more than the third number. What percentage of the third number is the second number ?A. `107.5%`B. `112.5%C. `117.5%`D. `112.5%` |
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Answer» Correct Answer - B Let the first number, the second number and the third number be f, s and t respectively. `f=s+(33(1)/(3))/(100)s=4/3` `f=t+50/100t=3/2t` `f=4/3s=3/2t` `impliess9/8t=9/8(100)%of t` i.e., `112.5%` of t |
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| 17. |
Given are there numbers. If the second and the third numbers respectively are `20%` and `50%` more than the third number, then what percentage is the first of second ? |
| Answer» Correct Answer - `120%` | |
| 18. |
175 litres of a solution contains `88%` of acid and the rest water. How many liters of water must be added such that the resulting mixture contains `23%` of water ? |
| Answer» Correct Answer - 25 litres | |
| 19. |
A solution of 165 litres contains `80%` of acid and the rest water. How much water must be added to the above solution such that the resulting mixture contains `25%` water ?A. 11 litresB. 8 litresC. 9 litresD. 10 litres |
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Answer» Correct Answer - A (i) First, find out the quantity of acid and water in the solution. (ii) Clearly, `20%` of the solution is water. Find the water quantity in 165 liters. (iii) If x litres of water is added, then total solution is `(165+x)` litres. (iv) `(33+x):(165+x)=1:4.` |
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| 20. |
The price of an article is decreased by 20% By what percentage its consumption must be increased so that the expending on it increase by 10% Choose the correct answer from the following optionsA. `10%`B. `25%`C. `33.(1)/(3)%`D. `37.5%` |
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Answer» (i) Let the initial price and initial commodity consumption be Rs 100 and 100 units (ii) Let the price of article be Rs 100 x (iii) New price of the article will be 80 x (iv) From Steps (ii) and (iii) find the required percentage |
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| 21. |
The price of an article is increased by 20% .By what percentage must its consumption be reduced so that the expenditure on it reduces by 10% ?A. `20%`B. `30%`C. `25%`D. `15%` |
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Answer» Correct Answer - C (i) Let the initial price and initial consumption be Rs 100 and 100 units respectively (ii) (Comsumption ) (Price of an article ) = Total expenditure (iii) Let consumption be 100 articles and rate be Rs 100 (IV) given rate = Rs 80 and total expending = Rs 900. find the consumption by using the formula which is mentioned in (1) (v) find the percentage decrease in the consumption. |
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| 22. |
the loss made in selling 20 m of a cloth equals the cost price of 4 m of that cloth .Find the loss percentageA. `20 %`B. `25%`C. `32.(1)/(3) %`D. `40%` |
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Answer» Correct Answer - A (i) Let CP of of1 m cloth be Rs x then the amount of loss and SP. (ii) Let the CP of 20 m of a cloth be Rs 20 x (iii) So loss =Rs 4x (iv) Now find loss percentage. |
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| 23. |
A trader marks his product 30% above his cost price and then offers a 30% discount .Find his cost price if the incurs a loss Rs 900. (in Rs)A. 12000B. 10000C. 9000D. 8000 |
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Answer» Correct Answer - B (i) Le CP of the product be Rs 100 .then find MP and SP (ii) Let the CP be Rs 100x (iii) MP= 130x and SP =70% of 130x (iv) CP-SP= 900 Find x |
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| 24. |
Ramapada had just enough money to purchase either 30 pens or 50 pencils . He decides to spends only 80% of his money and buys 10 pens . At the maximum how many pencils can he buy with the remaining money that he has ?A. 23B. 24C. 25D. 26 |
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Answer» Correct Answer - A Assume that Ramapada have Rs 150 .then find the CP of pen and pencil. |
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| 25. |
X and Y are two natural numbers. The sum of thrice of X and twice of Y is 230. If 3X increases by 40% and 2Y increases by 30% then their sum will increase by 84. If X decreases by 40% and Y decreases by 30% then their sum will be `"______"`A. `58`B. `66`C. `52`D. `46` |
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Answer» Correct Answer - A 3x +2Y =230 If 3X increases by 40% and 2X increases by 30% total increase `=(40)/(100)(3X) +(30)/(100)(2Y)` `:. (40)/(100) (3X) =(30)/(100)(2Y) =84` `1x2X +0.6Y=84` Dividing both sides by 0.6 ,2X +Y=140 `:. Y =40 -2X` `:. 2Y =280 -4X` `(1) rArr 2Y=230 -3X` `:. 280 -4X =230 -3X` `50=X` `(2) rArr y=40` The required sum `=X (1-(40)/(100)) +Y (1-(30)/(100))` `=(50)(0.6) +(40)` `=(0.7) =58` |
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| 26. |
Giri sold two books . The selling price of a book equals the cost price of the second book. He sold the first book at 10% profit and the second book at 10% loss. Find the overall profit`//`loss percentage.A. `(5)/(21) %` profitB. `(5)/(21)%` lossC. `(10)/(21)%` profitD. `(10)/(21)%` loss |
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Answer» Correct Answer - D Let the cost price of the first book be Rs 100x. The profit made on it `=(10)/(100) (Rs 100x) =Rs 10x` its selling price =Rs 110x The cost price of the second book -Rs 110x. The loss suffered on it `=(10)/(100)(Rs 111x) =Rs 11x` Its selling price =Rs 99x Total cost price `=Rs 210x` Total selling price `=Rs 209x` As `210 x gt 209x` on overall loss is made . Overall loss = Rs x `:. ` Overall loss percentage `=(x)/(210x) xx (100%) =(10)/(21)%` |
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| 27. |
In a class, 45% of the students drink orange and 90% of the remaining students drink Maaza No student drinks both Maaza and orange. Find the percentage of students in the class who drink neither Maaza nor orange.A. `4.5%`B. `6.5%`C. `7.5%`D. `5.5%` |
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Answer» Correct Answer - D Let the strength of the class be 10% The number of students who drink pulpy orange `=(45)/(100)(100x) =45x` The number of students who dring Maaza`=(90)/(100) (100x -45x)` `=(9)/(10)(55x) =49.5x` No student drinks both Maaza and pulpy orange The number of students of the class who drink neith Maaza nor pulpy orange `=10x -94 .5x =5.5x` The required percentage `=(5.5x)/(100x) (100)% =5.5%` |
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| 28. |
An article is marked up by 100 % if a discount of Rs 12 on it is equal to 10% then the cost price of the article is `"_____"` |
| Answer» Correct Answer - `Rs 60` | |
| 29. |
If the cost price is obtained by multiplying the selling price by `(7)/(8) ` then find the profit percentage |
| Answer» Correct Answer - `14.(2)/(7)%` | |
| 30. |
y is what percentage of x ? |
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Answer» Let y = p% of x `rArr p = (y)/(x) xx 100` |
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| 31. |
Find the number whose 30% is 36 |
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Answer» Let the number be x Given that 30% of the number is 36. `rArr 30% " of " x=36` `rArr (30)/(100)xx x=36` `rArr x= (36xx100)/(30) rArr x=120` `:. `The required number is 120 |
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| 32. |
By what per cent is the sum of Rs90 by `11 .(1)/(9) %` |
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Answer» `((100-90))/(90) (100)%= 11.(1)/(9) %` That is the sum of `Rs 100` is more than `Rs 90` by `11. (1)/(9)%` |
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| 33. |
What fractin is equal to `(5)/(5^(3) *8*9)%?` |
| Answer» Correct Answer - `1/18` | |
| 34. |
There are three quantities A, B and C. B is `16(2)/(3)%` less than A and C is `14(2)/(7)%` more than B. By wht per cent is A more than C?A. 5B. 6C. 7D. 8 |
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Answer» Correct Answer - A (i) let A = Rs. 120x (ii) Let A be x, then find B and then find C. Recall that `16(2)/(3)%=1/6and 14(2)/(7)%=1/7.` |
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| 35. |
If `55%` of the teachers in a school are gents and the number of lady teachers in the school is 90, then the total number of techers in the school isA. 100B. 150C. 200D. 250 |
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Answer» Correct Answer - C (i) Let the total number of teachers be 100x. (ii) `45%` of the total teachers are ladies which is equal to 90. |
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| 36. |
There are 3 numbers. The first and second numbes are `20%` and `40%` more than the third number. What percentage is the first number of the sum of the second and the third numbers ?A. `25%`B. `50%`C. `30%`D. `40%` |
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Answer» Correct Answer - B Let the third number be 100x. |
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| 37. |
If A is `50%` more than B, then B is less than A byA. `33^(1/3)%`B. `25%`C. `50%`D. `66^(2/3)%` |
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Answer» Correct Answer - A Let B be 100x. |
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| 38. |
Only two candidates A and B contested in an election. In the total of 20000 votes `10%` were invalid. A won the election by 3600 votes. What percent age of valid votes is secured by B?A. `45%`B. `40%`C. `30%`D. `35%` |
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Answer» Correct Answer - B (i) Find the number of valid votes. Total number of valid votes = 18000. (iii) Let A got x votes, then B got `(18000-x)` votes. (iv) `x=3600+(1800-x)` |
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| 39. |
The price of a refrigetor, P is 5 times that of a cooler Q. If then price of P increases by `40%.` then what is the change in the total price of the refrigerator and cooler put together ? |
| Answer» Correct Answer - Increase by `10%` | |
| 40. |
A shopkeeper sold certain articles. Cost price of each article and the number of articles sold are given below. Calculate the cost of libing index for the year 2006 taking 1999 as the base year (approximately). |
| Answer» Correct Answer - `237.96%` | |
| 41. |
The numer of enrolments in a school has increased from 1800 to 2016. The percentage increase in the enrolments is `"______".`A. `10%`B. `11%`C. `12%`D. `13%` |
| Answer» Correct Answer - C | |
| 42. |
A number, when decreased by `20%` becomes 136. What is the number ?A. 160B. 150C. 170D. 140 |
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Answer» Correct Answer - C Let the number be x. |
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| 43. |
Express `6/25` as per cent. |
| Answer» Correct Answer - `24%` | |
| 44. |
Express `25%` as a decimal |
| Answer» Correct Answer - `0.25` | |
| 45. |
`50%` of 2000 is `"_____"` |
| Answer» Correct Answer - 100 | |
| 46. |
Express `20%` as a fraction |
| Answer» Correct Answer - `1/5` | |
| 47. |
What percentage is equal to `3/8?` |
| Answer» Correct Answer - `37.5%` | |
| 48. |
If `60%` of K is 30 less than `75%` of K, then what is the value of K ?A. 500B. 300C. 400D. 200 |
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Answer» Correct Answer - D From an equation as per the given conditions. |
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| 49. |
What per cent of 52 kg is 25 kg ? |
| Answer» Correct Answer - `50%` | |
| 50. |
Two numbers x and y, are in the ratio `5/6:3/4.` By what per cent is x more than y ?A. `10%`B. `9.bar09%`C. `12.5%`D. `11.bar11%` |
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Answer» Correct Answer - D (i) Simplify the ratio by cross multiplication and proceed. (ii) `x:y=5/6:3/410:9` (iii) Difference of x and y is 1 unit. (iv) The required per cent `=("Difference")/("y-term")xx100` |
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