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- Question
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
- 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.
- 1. 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
- 2. A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
Options- A. Rs. 18.20
- B. Rs. 70
- C. Rs. 72
- D. Rs. 88.25 Discuss
- 3. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Options- A. 30%
- B. 70%
- C. 100%
- D. 250% Discuss
- 4. A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
Options- A. Rs. 1090
- B. Rs. 1160
- C. Rs. 1190
- D. Rs. 1202 Discuss
- 5. A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
Options- A. 3
- B. 4
- C. 5
- D. 6 Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Profit and Loss problems
Search Results
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: Rs. 72
Explanation:
| C.P. = Rs. | ❨ | 100 | x 392 | ❩ | = Rs. | ❨ | 1000 | x 392 | ❩ | = Rs. 320 |
| 122.5 | 1225 |
∴ Profit = Rs. (392 - 320) = Rs. 72.
Correct Answer: 70%
Explanation:
Let C.P.= Rs. 100. Then, Profit = Rs. 320, S.P. = Rs. 420.
New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.
Profit = Rs. (420 - 125) = Rs. 295.
| ∴ Required percentage = | ❨ | 295 | x 100 | ❩% | = | 1475 | % = 70% (approximately). |
| 420 | 21 |
Correct Answer: Rs. 1190
Explanation:
| S.P. = 85% of Rs. 1400 = Rs. | ❨ | 85 | x 1400 | ❩ | = Rs. 1190 |
| 100 |
Correct Answer: 5
Explanation:
C.P. of 6 toffees = Re. 1
| S.P. of 6 toffees = 120% of Re. 1 = Rs. | 6 |
| 5 |
| For Rs. | 6 | , toffees sold = 6. |
| 5 |
| For Re. 1, toffees sold = | ❨ | 6 x | 5 | ❩ | = 5. |
| 6 |
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: 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: 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. 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: 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 |
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