Question

A man sells two horses for $Rs.1485$. 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, what is his total gain or loss (in rupees)?

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

Answer 1

Answer: (D)

Neither gain nor loss

Let the S.P. of the first horse $=Rs.x$.

Then, S.P. of the second horse $=Rs.(1485-x)$
C.P. of the first horse $=\frac{x\times 100}{(100-20)}=Rs\frac{5x}{4}$
C.P. of the second horse $=\frac{(1485-x)\times 100}{(100+25)}$
$=Rs\frac{4(1485-x)}{5}$
Given, $\frac{5x}{4}=(1485-x)$
$\Rightarrow 5x=4\times (1485-x)$

$\Rightarrow 9x=4\times 1485$
$\Rightarrow x=4\times \frac{1485}{9}=Rs.660$
$\therefore$ Total C.P. $=\frac{5\times 660}{4}+\frac{4(1485-660)}{5}$
$=Rs.825+Rs.660=Rs.1485$
Since S.P. $=$ C.P., there is no profit no loss.