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A shopkeeper reduces the price of his goods by 50% at the time of sale. Initially the price was fixed to get a profit of 25% on selling price after allowing 10% cash discount. Find out his approximate percentage of profit or loss.
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- 26% loss
- 28% profit
- 30% loss
- 26% profit
Correct Option: A
Let initial S.P. = $ 100
profit = 25% of 100 = 25
∵ profit = Initial S.P. - C.P.
∴ C.P. = 100 – 25 = $ 75
Now, when
| ∴ x = | = $ | 90 | 9 |
| ∴ New S.P. = 50% of $ | i.e., | × | 9 | 9 | 9 |
| New S.P. = $ | = $ 55 | 9 | 9 |
| ∴ Loss = $ 75 (Old Price) – $ 55 | (New S.P.) = $ 19 | 9 | 9 |
∴ When
| ∴y = | × | 75 | 9 |
| Loss percent = | = 25 | % = 26% (approx) | 27 | 27 |
