Arithmetic

Profit & Loss

Medium

An article is sold at a certain price. If it at 2/3 of that price, one loses 10%. Find the gain percentage at original price.

10%

15%

25%

35%

✅ Correct Option: 4

Let cost price be $C$ and selling price $S$ .

Selling at $\frac{2}{3}S$ gives a 10% loss, so $\frac{2}{3}S = 0.9C$ .

Then $S = \frac{3}{2}(0.9C) = 1.35C$ , a gain of 35%.

Note: The second sentence is incomplete in the original NTA response sheet; we have read it as the article being sold at two-thirds of the stated price.

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An article is sold at a certain price. If it at 2/3 of that price, one loses 10%. Find the gain percentage at original price.

Solution

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