Question

A man sells a watch for rs 3450 and make a profit of 15%. He sells a second watch at a loss of 10%. If on the whole he neither gains or loses , find the cost price of the second watch.

Answer 1

Answer:

Selling Price of the 2nd Watch is Rs. 4050

Step-by-step explanation:

Selling price of 1st Watch = Rs. 3450

Profit on watch = 15 %

Cost Price = 100*Selling Price/(100 + Profit Percentage)

Cost Price of 1st watch = 100*3450/(100 + 15)

C.P. of the 1st watch = Rs. 3000

Now, profit on selling the 1st watch = Loss on the selling the second Watch

⇒ Loss = Rs. 450

Now,

Loss = 10 % = Rs. 450

Loss % = (Loss*100)/C.P.

⇒ 10 = (450*100)/C.P.

⇒ 10 C.P. = 45000

⇒ C.P. = 45000/10

⇒ Cost price of the Watch = Rs. 4500

Selling price = Cost price - Loss

⇒ Selling Price = 4500 - 450

Selling Price of the 2nd Watch is Rs. 4050

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