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7.Profit and Loss
medium
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