Shirish purchased a watch at $20 %$ discount on its marked price but sold it at the marked price. Find the gain percent of Shirish in the transaction.

10 %

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20 %

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25 %

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35 %

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Solution

The correct option is D $25 %$
Let $x$ be the marked price.

Buying price = $x (1 - 0.2) = 0.8 x$

Selling price = $x$

$G a i n = S e l l i n g p r i c e - B u y i n g p r i c e = x - 0.8 x = 0.2 x$

$G a i n p e r c e n t = \frac{G a i n}{B u y i n g p r i c e} \times 100 = \frac{0.2 x}{0.8 x} \times 100 = 25 %$ .

So, the answer is $25 %$ . $[C]$

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