The marked price of an article is 26% more than its cost price. If a discount of 32% is given, what will be the loss percentage?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 14.32%.
Let, the C.P. of the article be Rs. 100
The marked price is 26% more than the cost price
So,
⇒ MP = 100 + 26
⇒ MP = Rs. 126
A discount of 32% is given on the marked price.
So, the selling price (SP) = MP - 32% of MP
⇒ SP = 126 - (32/100 × 126)
⇒ SP = 126 - 40.32
⇒ SP = Rs. 85.66
The loss is the difference between the cost price and the selling price
⇒ Loss = CP - SP
⇒ 100 - 85.68
⇒ Rs. 14.32
Loss percentage = Loss/CP × 100
⇒ (14.32/100) × 100 = 14.32%
Thus, the loss percentage is 14.32%