Question

A man loses $13\%$ by selling a book at a certain price. If he had sold it for Rs. $9.75$ more he would have gained $26\%$. Find the cost price of the book ?

• A. $25$
• B. $30$
• C. $39$
• D. $42$

Answer 1

The correct option is A $25$

Let C.P. be $x$

S.P. $=x-13\%$ of $x=x-\frac{13}{100}\times x=0.87x$

If he had sold it in Rs. $9.75$ more, he had gained,

New S.P. $=0.87x+9.75$

Then according to the question, we have

$\Rightarrow 0.87x+9.75=x+26\%$ of $x$

$\Rightarrow 0.8x+9.75=1.26x$

$\Rightarrow 0.39x=9.75$

$\Rightarrow x=\frac{9.75}{0.39}$

$\Rightarrow x=25$

So, the cost Price was Rs. $25$.