Arithmetic

Profit & Loss

Medium

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

35%

40%

45%

50%

✅ Correct Option: 1

Let original SP = P. New SP = $\frac{2P}{3}$ gives 10% loss.

$\frac{2P}{3} = 0.9 \times CP$

$CP = \frac{2P}{2.7} = \frac{20P}{27}$ .

Gain at original = $\frac{P - 20P/27}{20P/27} \times 100 = \frac{7/27}{20/27} \times 100 = 35$ %.

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