Question

There are two watches of cost Rs. 800. One is sold at a profit of 16% and the other at a loss of 8%. If there is no loss or no gain in the whole transaction, the cost price of the watch on which the shopkeeper gains is?

Answer 1

Let the cost price of watch sold at profit be $X$

Then cost price of watch sold at loss $=800-x$

According to question , $x\times \frac{116}{100}$ $+$ ($800-x$)($\frac{92}{100}$ $=$ $800$

Solving we get $x=266.6Rs.$

Thus cost price of watch sold at profit $=266.6Rs.$