Question

A shopkeeper purchased two watches for a total of re 2160. By selling one at a loss of 9% and other at a gain of 15%, he neither gains nor loss in the whole transaction. Find the cost price of each watch. ,

Answer 1

A shopkeeper purchased two...

Answer 2

Cost price of watches are Rs. 1350 and Rs. 810

• Let the cost price of watch A be x.

• Total cost price of watch A + cost price of watch B is Rs. 2160.

• On selling a watch he suffers a loss of 9%.

Therefore, Loss = 0.09x

• Now cost price of watch B will be (2160-x).

• On selling watch B he gains a profit of 15%.

Therefore, 15 = $\frac{profit}{cost \ price}$ × 100

15 = $\frac{profit}{2160-x}$ × 100

profit = $\frac{15(2160-x)}{100}$

• Now on selling both the watches he neither gains nor loss in the whole transaction.

• Therefore the loss on watch A = profit on watch B

0.09x = $\frac{15(2160-x)}{100}$

9x = 32400 - 15x

x = 32400/24

x = 1350 Rs.

• Cost price of watch A is Rs. 1350

• Cost price of watch B is Rs. 810.