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In order to maintain the price line a trader allows a discount of 10% on the marked price of an article. However, he still makes a profit of 17% on the cost price. Had he sold the article at the marked price, he would have earned a profit per cent of
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- 30%
- 32%
- 33%
- 35%
Correct Option: A
Given in question , discount = 10%
Let the marked price be ₹ 100.
∴ S.P. = 90% of 100 = ₹ 90
Profit = 17%
| C.P.= ₹ 90 × | |
| 117 |
| C.P. = ₹ | |
| 13 |
If no discount is allowed, S.P. = ₹ 100
| Profit = ₹ |  | 100 − |  | = ₹ | ||
| 13 | 13 |
| ∴ Profit % = | × 100 = 30% | |
| ( 1000 / 13 ) |
Second method :
Here, D = 10%, r = 17%,
Let the M.P. = ₹ 100
With the help of given formula ,
| = | ||
| C.P. | 100 − D |
| = | ||
| C.P. | 100 − 10 |
| = | ||
| C.P. | 90 |
| C.P. = | = | ||
| 117 | 13 |
Profit = S.P. – C.P.
| Profit = 100 − | |
| 13 |
| Profit = Rs. | |
| 13 |
| Profit % = | × 100 = 30% | |
| ( 1000 / 13 ) |
