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An article is sold at a certain price. By selling the article at two-thirds of that price, there is a loss of 10%. Find the gain percent at its original price.

A35% ✓ Correct
B25%
C33%
D30%
Correct answer: (A) 35%
Explanation

The gain at the original price is 35%.

Selling at two-thirds of the price gives a 10% loss, so (2/3)P = 0.9 x CP.

Thus CP = (2/3)P / 0.9 = 20P/27.

Gain at P = (P - CP)/CP = (7P/27)/(20P/27).

= 7/20 = 0.35.

So the gain percent is 35%.

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