A person sold a horse at a gain of 15 % . Had he bought it for 25 % less and sold it for Rs.,60 less

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7.Profit and Loss

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A person sold a horse at a gain of $15 \% .$ Had he bought it for $25 \%$ less and sold it for $Rs.\,60$ less, he would have made a profit of $32 \% .$ The cost price of the horse was (in $Rs.$)

A

$370$

B

$372$

C

$375$

D

$378$

Solution

Let, $C.P.$ be $₹ x,$ then

$S.P.$ $=x+\frac{15 x}{100}=₹ \frac{155 x}{100}$

If he had bought the horse for $25 \%$ less, then

$C.P.$= $x-\frac{25 x}{100}=₹ \frac{75 x}{100}$

Now, according to the question,

$\frac{155 x}{100}-60=\frac{75 x}{100} \times\left(1+\frac{32}{100}\right)=\left[\frac{75}{100} \times \frac{132}{100}\right] x$

$\Rightarrow \frac{155 x}{100}-60=\frac{99 x}{100} \Rightarrow \frac{155 x}{100}-\frac{99 x}{100}=60$

$\Rightarrow \frac{16 x}{100}=60 \quad \therefore x=\frac{6000}{16}=₹ 375$

Standard 13

Quantitative Aptitude

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