# What was his Percent Profit on the Original Cost Price? If

Rakesh purchased a wrist watch with a 20 % discount on the labelled price. He sold it with 15% Profit on the labelled price. what was his percent profit on the original cost price?

- 43.5%
- 35%
- 43.75%
- 45%

**Answer: (3) 43.75 %**

**Explanation:-**

Let labelled price be Rs. X

Rakesh purchased it for 20% discount,

Therefore, Cost price of watch = X x (100 – 20)/100

= 80 X /100

= 4 X/5

Rakesh sold it for 15% profit ,

Then, the selling price = X 115/100

Profit percentage in original cost price X is =(115 X/100 – 80 X/100)/(80 X/100)

= 35 X x 100/100 x 80 X

= 35/80

= 7/16 %

Therefore, the profit percentage = 7 x 100/16

= 43.75 %

Then, the profit percent is 43.75 %

Hence, the answer is (3) 43.75%.