An article is sold at a certain price. By selling it at 2/3 of that price one loses 10%. Find the gain percent at original price.

An article is sold at a certain price. By selling it at 2/3 of that price one loses 10%. Find the gain percent at original price. Correct Answer 35%

Hints: Original selling price be x, new S.P = 2/3 of x = 2x/3 Here, Loss = 10% CP = 100/(100 - loss) × SP = 100/(100 - 10) × 2x/ 3 = 100/90 × 2x/3 = 20x/27 Gain = x - (20x/27) = 7x/27 Gain % = (7x/27) / (20x/27) × 100% = 35%
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