Vijay sold a watch at a gain of 5 % . Had he sold it for Rs., 72 more, he would have gained 13 % . F

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7.Profit and Loss

hard

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 $Rs.$)

A

$900$

B

$910$

C

$870$

D

None of these

Solution

Here, $S.P.$ $-$ $S.P.$ $_{2}=-72, x=5, y=13$.

Using the formula,

$\frac{C \cdot P \cdot}{100}=\left(\frac{S \cdot P_{1}-S \cdot P_{2}}{x-y}\right)$

we get, $\frac{ C.P. }{100}=\left(\frac{-72}{5-13}\right)$

$\Rightarrow \quad$ C.P. $=\frac{72}{8} \times 100=Rs. 900$

Standard 13

Quantitative Aptitude

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