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A trader sells his goods at a discount of 20%. He still makes a profit of 25%. If he sells the goods at the marked price only, his profit will be
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- 56.25%
- 25.56%
- 50.25%
- 54.25%
Correct Option: A
Let the marked price = ₹ 100
∴ S.P after discount of 20% = ₹ 80
Profit = 25%
| ∴ CP = ₹ |  | ×80 |  | = ₹ 64 | |
| 125 |
Profit after selling on marked price= 100 – 64 = ₹ 36
| ∴ Gain % = | × 100 = 56.25% | |
| 64 |
Second method to solve this question :
Here, D = 20%,r = 25%
Let, M.P. be ₹ 100
| = | ||
| C.P. | 100 − D |
| = | ||
| C.P. | 100 − 20 |
| C.P. = | = ₹ 64 | |
| 125 |
Profit = 100 – 64 = 36
| Gain % = | × 100% = 56.25% | |
| 64 |
