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- Question
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
- 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
- 1. 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
- 2. In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:
Options- A. 2700
- B. 2900
- C. 3000
- D. 3100 Discuss
- 3. What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
Options- A. 1
- B. 14
- C. 20
- D. 21 Discuss
- 4. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
Options- A. 15
- B. 16
- C. 18
- D. 25 Discuss
- 5. A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
Options- A. No profit, no loss
- B. 5%
- C. 8%
- D. 10%
- E. None of these Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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 Discuss
- 10. 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
Percentage problems
Search Results
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: 2700
Explanation:
Number of valid votes = 80% of 7500 = 6000.
∴ Valid votes polled by other candidate = 45% of 6000
| = | ❨ | 45 | x 6000 | ❩ | = 2700. |
| 100 |
Correct Answer: 20
Explanation:
Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.
Number of such number =14
| ∴ Required percentage = | ❨ | 14 | x 100 | ❩% = 20%. |
| 70 |
Correct Answer: 16
Explanation:
Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x .
S.P. of x articles = Rs. 20.
Profit = Rs. (20 - x).
| ∴ | ❨ | 20 - x | x 100 = 25 | ❩ |
| x |
⟹ 2000 - 100x = 25x
125x = 2000
⟹ x = 16.
Correct Answer: 5%
Explanation:
C.P. of 56 kg rice = Rs. (26 x 20 + 30 x 36) = Rs. (520 + 1080) = Rs. 1600.
S.P. of 56 kg rice = Rs. (56 x 30) = Rs. 1680.
| ∴ Gain = | ❨ | 80 | x 100 | ❩% = 5%. |
| 1600 |
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: 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: 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: 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.
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
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