# A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price ?

A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price ?

A. Rs 1000

B. Rs 1140

C. Rs 860

D. Rs 760

**Answer : **A. Rs 1000

## Explanation:

Let the cost price of the watch be x.

It was sold for 10% loss that is 90x/100

If it was sold for 140 more, the price would be 90x/100 + 140 and this would be 4% gain which is 104x/100

So, 104x/100 = 90x/100 + 140

Multiply through by 100, we have

104x =90x + 14000

Subtract 90x from both sides, we have

14x = 14000

Divide both sides by 14, we have

x = 1000

So, the cost price is 1000