A person incurs 5% loss by selling a watch for Rs 1140. At what price should the watch be sold to earn 5% profit?

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Rs 1275

Rs 1280

Rs 1210

Rs 1260

answer is D.

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Detailed Solution

It is given that a person incurs 5% loss by selling a watch for Rs 1140.
Let the new S.P be x.
Then,

\frac{(100 - loss %)}{1 st S . P .} = \frac{(100 + gain %)}{2 nd S . P .}

\Rightarrow \frac{100 - 5}{1140} = \frac{100 + 5}{x}

\Rightarrow \frac{95}{1140} = \frac{105}{x}

\Rightarrow x = \frac{105 \times 1140}{95}

\Rightarrow x = 1260 Rs .

Therefore, the watch be sold at Rs

1260

to earn 5% profit.
Hence, the correct option is (4) .

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