Vijay sold a watch at a gain of 5 %. Had he s | vedclass

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Question

(A) Let the cost price $(C.P.)$ of the watch be $x$.Initially,the watch is sold at a gain of $5 \%$,so the selling price $(S.P._1)$ is $x + 0.05x = 1.

Vedclass · Accepted Answer

$900$

Vedclass · Answer

(A) Let the cost price $(C.P.)$ of the watch be $x$.Initially,the watch is sold at a gain of $5 \%$,so the selling price $(S.P._1)$ is $x + 0.05x = 1.05x$.If the watch is sold for $Rs. 72$ more,the new selling price $(S.P._2)$ is $1.05x + 72$.According to the problem,the new gain is $13 \%$,so $S.P._2 = x + 0.13x = 1.13x$.Equating the two expressions for $S.P._2$:$1.13x = 1.05x + 72$$1.13x - 1.05x = 72$$0.08x = 72$$x = \frac{72}{0.08} = \frac{7200}{8} = 900$.Therefore,the cost price of the watch is $Rs. 900$.

Vijay sold a watch at a gain of $5 \%$. Had he sold it for $Rs. 72$ more,he would have gained $13 \%$. Find out the cost price of the watch (in $Rs.$).

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