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For a certain article, if discount is 25% the profit is 25%. If the discount is 10%, then the profit is
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- 50%
- 40%
- 30%
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33 1 % 3
Correct Option: A
Let the marked price be x and cost price be 100, then
| = 125 | |
| 100 |
| ⇒ x = | = ₹ | ||
| 75 | 3 |
| S.P. after a discount of 10% = | × | = ₹ 150 | ||
| 3 | 100 |
∴ Gain per cent = 50%
Second Method :Here, r = 25%, D = 25%.
| = | ||
| C.P. | 100 − 25 |
| = | = | |||
| C.P. | 75 | 3 |
Now, D =10%
Profit = ?
| = | ||
| C.P. | 100 − D |
| = | ||
| 3 | 100 − D |
| 100 + r = | × 90 | |
| 3 |
r = 150 – 100
r = 50%