- Home
- Standard 13
- Quantitative Aptitude
7.Profit and Loss
medium
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
