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- Question
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
Options- A. 39, 30
- B. 41, 32
- C. 42, 33
- D. 43, 34
- Correct Answer
- 42, 33
Explanation
Let their marks be ( x + 9) and x .Then, x + 9 = 56 (x + 9 + x) 100 ⟹ 25(x + 9) = 14(2x + 9)
⟹ 3x = 99
⟹ x = 33
So, their marks are 42 and 33.
- 1. Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Options- A. Rs. 200
- B. Rs. 250
- C. Rs. 300
- D. None of these Discuss
- 2. A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
Options- A. 45%
- B. 45 5⁄11%
- C. 54 6⁄11%
- D. 55% Discuss
- 3. A student multiplied a number by 3⁄5 instead of 5⁄3. What is the percentage error in the calculation?
Options- A. 34%
- B. 44%
- C. 54%
- D. 64% Discuss
- 4. Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Options- A. Rs. 15
- B. Rs. 15.70
- C. Rs. 19.70
- D. Rs. 20 Discuss
- 5. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
Options- A. 2 : 3
- B. 1 : 1
- C. 3 : 4
- D. 4 : 3 Discuss
- 6. Rajeev buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.
Options- A. Rs. 6876.10
- B. Rs. 6999.20
- C. Rs. 6654
- D. Rs. 7000 Discuss
- 7. If 20% of a = b, then b% of 20 is the same as:
Options- A. 4% of a
- B. 5% of a
- C. 20% of a
- D. None of these Discuss
- 8. A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
Options- A. 588 apples
- B. 600 apples
- C. 672 apples
- D. 700 apples Discuss
- 9. In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is ⅔ of the number of students of 8 years of age which is 48. What is the total number of students in the school?
Options- A. 72
- B. 80
- C. 120
- D. 150
- E. 100 Discuss
- 10. If A = x% of y and B = y% of x, then which of the following is true?
Options- A. A is smaller than B.
- B. A is greater than B
- C. Relationship between A and B cannot be determined.
- D. If x is smaller than y, then A is greater than B.
- E. None of these Discuss
Percentage problems
Search Results
Correct Answer: Rs. 250
Explanation:
Let the sum paid to Y per week be Rs. z .
Then, z + 120% of z = 550.
| ⟹ z + | 120 | z = 550 |
| 100 |
| ⟹ | 11 | z = 550 |
| 5 |
| ⟹ z = | ❨ | 550 x 5 | ❩ = 250. |
| 11 |
Correct Answer: 45 5⁄11%
Explanation:
Number of runs made by running = 110 - (3 x 4 + 8 x 6)
= 110 - (60)
= 50.
| ∴ Required percentage = | ❨ | 50 | x 100 | ❩% = 45 | 5 | % |
| 110 | 11 |
Correct Answer: 64%
Explanation:
Let the number be x.
| Then, error = | 5 | x - | 3 | x = | 16 | x. |
| 3 | 5 | 15 |
| Error% = | ❨ | 16x | x | 3 | x 100 | ❩% = 64%. |
| 15 | 5x |
Correct Answer: Rs. 19.70
Explanation:
Let the amount taxable purchases be Rs. x .
| Then, 6% of x = | 30 |
| 100 |
| ⟹ x = | ❨ | 30 | x | 100 | ❩ = 5. |
| 100 | 6 |
∴ Cost of tax free items = Rs. [25 - (5 + 0.30)] = Rs. 19.70
Correct Answer: 4 : 3
Explanation:
| 5% of A + 4% of B = | 2 | (6% of A + 8% of B) |
| 3 |
| ⟹ | 5 | A + | 4 | B | = | 2 | ❨ | 6 | A + | 8 | B | ❩ |
| 100 | 100 | 3 | 100 | 100 |
| ⟹ | 1 | A + | 1 | B | = | 1 | A + | 4 | B |
| 20 | 25 | 25 | 75 |
| ⟹ | ❨ | 1 | - | 1 | ❩ A = | ❨ | 4 | - | 1 | ❩ B |
| 20 | 25 | 75 | 25 |
| ⟹ | 1 | A = | 1 | B |
| 100 | 75 |
| A | = | 100 | = | 4 | . |
| B | 75 | 3 |
∴ Required ratio = 4 : 3
Correct Answer: Rs. 6876.10
Explanation:
| Rebate = 6% of Rs. 6650 = Rs. | ❨ | 6 | x 6650 | ❩ | = Rs. 399. |
| 100 |
| Sales tax = 10% of Rs. (6650 - 399) = Rs. | ❨ | 10 | x 6251 | ❩ | = Rs. 625.10 |
| 100 |
∴ Final amount = Rs. (6251 + 625.10) = Rs. 6876.10
Correct Answer: 4% of a
Explanation:
| 20% of a = b ⟹ | 20 | a = b. |
| 100 |
| ∴ b% of 20 = | ❨ | b | x 20 | ❩ | = | ❨ | 20 | a x | 1 | x 20 | ❩ | = | 4 | a = 4% of a. |
| 100 | 100 | 100 | 100 |
Correct Answer: 700 apples
Explanation:
Suppose originally he had x apples.
Then, (100 - 40)% of x = 420.
| ⟹ | 60 | x x = 420 |
| 100 |
| ⟹ x = | ❨ | 420 x 100 | ❩ = 700. |
| 60 |
Correct Answer: 100
Explanation:
Let the number of students be x . Then,
Number of students above 8 years of age = (100 - 20)% of x = 80% of x.
| ∴ 80% of x = 48 + | 2 | of 48 |
| 3 |
| ⟹ | 80 | x = 80 |
| 100 |
⟹ x = 100.
Correct Answer: None of these
Explanation:
| x% of y = | ❨ | x | x y | ❩ | = | ❨ | y | x x | ❩ | = y% of x |
| 100 | 100 |
∴ A = B.
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