Question

A man sells two horses for $1475$ rupees. The cost price of the first is equal to the selling price of the second. If the first is sold at $20\%$ loss and the second at $25\%$ gain, then what is the total gain or loss?

• A. $60$ rupees loss
• B. $80$ rupees gain
• C. $60$ rupees gain
• D. Neither gain nor loss

Answer 1

The correct option is D Neither gain nor loss

Let S.P. of the first horse be $x$ rupees.
Then, S.P. of the second horse $=(1475-x)$ rupees
C.P. of first horse $=(1475-x)$ rupees
Loss on the first horse $=20\%$
$\therefore \frac{80}{100}\times (1475-x)=x$
$\Rightarrow 4(1475-x)=5x$
$\Rightarrow 9x=5900$
$\Rightarrow x=\frac{5900}{9}$

S.P. of second horse $=(1475-\frac{5900}{9})=\frac{7375}{9}$ rupees
C.P. of second horse $=(\frac{100}{125}\times \frac{7375}{9})=\frac{5900}{9}$ rupees
$\therefore$ C.P. of $1$st horse $=$ S.P. of $2$nd horse
and C.P. of $2$nd horse $=$ S.P. of $1$st horse
So, total C.P. $=$ total S.P.
Hence, there is neither gain nor loss.