The marked price of an article is 26% more than its cost price. If a discount…
2024
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?
- A.
18.64%
- B.
15.25%
- C.
12.26%
- D.
14.32%
Attempted by 8 students.
Show answer & explanation
Correct answer: D
Calculation Steps
Assume Cost Price (CP): Let the CP be 100.
Calculate Marked Price (MP): Since the MP is 26% more than the CP, the MP is 100 + 26 = 126.
Calculate Discount and Selling Price (SP):
A discount of 32% is given on the MP, so the discount amount is 32% of 126, which is (32/100) * 126 = 40.32.
The SP is calculated by subtracting the discount from the MP: 126 - 40.32 = 85.68.
Determine Loss Percentage:
Since the SP (85.68) is less than the CP (100), a loss occurs.
The loss amount is 100 - 85.68 = 14.32.
The loss percentage is (Loss/CP) * 100, which equals (14.32/100) * 100 = 14.32%.