Question

A man bought two goats for Rs. $1008$. He sold one at a loss of $20\%$ and the other a profit of $44\%$. If each goat was sold for the same price, the cost price of the goat which was sold at a loss was

• A. Rs. $648$
• B. Rs. $360$
• C. Rs. $568$
• D. Rs. $440$

Answer 1

The correct option is A Rs. $648$

Let the C.P. of a goat be Rs. $x$

Then, C.P. of the other goat $=$ Rs. $(1008-x)$
$\because$ S.P. of the both the goats is the same,
Therefore, $x\times \frac{(100-20)}{100}=(1008-x)\times \frac{144}{100}$
$\Rightarrow 80x=1008\times 144-144x$
$\Rightarrow 224x=1008\times 144$
$\Rightarrow x=$ Rs. $\frac{1008\times 144}{224}=$ Rs. $648$