Question

A man sold a watch for Rs. $600$ at a loss. Had he sold if for Rs. $750$, his gain would have been double the former loss. The cost price of the watch is.

• A. Rs. $800$
• B. Rs. $700$
• C. Rs. $670$
• D. Rs. $650$

Answer 1

The correct option is D Rs. $650$

Let the cost price of watch is Rs. $x$

Then loss $=$ Rs. $x-600$

If watch sold Rs. $750$, then profit $=$ Rs. $750-x$

Given gain has been double the loss

Then $750-x=2(x-600)$

$\Rightarrow 750-x=2x-1200$

$\Rightarrow x=650$

Therefore, the cost price of the watch is Rs. $650$.