A person incurs 5 % loss by selling a watch for Rs.,1140 . At what price should watch be sold to ear

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7.Profit and Loss

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

A

$1380$

B

$1160$

C

$1260$

D

$1400$

Solution

Let the new $SP$ be $Rs.$ $x$ then

$\frac{100-\operatorname{loss} \%}{1 \text { st } S P}=\frac{100+\operatorname{gain} \%}{2 n d S P} \quad(C P$ is same in both case $)$

$\frac{100-5}{1140}=\frac{100+5}{x}, x=\frac{105 \times 1140}{95}=$ $Rs.$ $1260$

Standard 13

Quantitative Aptitude

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