Question

A man purchases two pens for Rs. $740.$ He sells one at $12\%$ profit and the other at $8\%$ loss. Then he neither gains nor loses. Find the cost price (in Rs.) of each pen.

• A. $296,444$
• B. $288,452$
• C. $272,468$
• D. $252,488$

Answer 1

The correct option is A $296,444$

C.P. of $2$ pens $=740.$
Let C.P. of first pen and second pen be $x$ and $y$ respectively.
Since there is no profit and loss in the whole transaction,
so $12\%$ of $x=8\%$ of $y$
$\Rightarrow \frac{x}{y}=\frac{2}{3}$
Hence, the cost of first pen $=\frac{2}{5}\times 740=$ Rs. $296$
and the cost of second pen $=\frac{3}{5}\times 740=$ Rs. $444$