Question

Rahul sold a book at $10\%$ loss. Had he sold it for Rs. $85$ more, then he would have made a profit of $7\%$. What was the cost price of the book?

• A. Rs. $500$
• B. Rs. $850$
• C. Rs. $615$
• D. Rs. $585$

Answer 1

The correct option is A Rs. $500$

Let C.P of the book $=$ Rs. $x$
Therefore, $x-\frac{10}{100}\times x+85=x+\frac{7}{100}\times x$
$\Rightarrow x-\frac{10x}{100}+85=x+\frac{7x}{100}$
$\Rightarrow \frac{17x}{100}=85$
$\Rightarrow 17x=8500$
$\Rightarrow x=500$
Cost Price of Book $=$ Rs. $500$.