If the marked price of a mat is 76% more than its cost price and a discount of 25% is announced on it, then find the profit percentage.

Explanation

Given: Marked Price (MP) is 76% more than the Cost Price (CP). Discount percentage = 25% Formula Used: M arkup% MP = CP ×(1 + )​ 100 ​ Discount% Selling Price (SP) = MP ×(1 − )​ 100 ​ SP − CP Profit % = × 100​ ​ CP Solution: Let the Cost Price (CP) be 100. MP = 100 + 76 = 176 25 SP = 176 × (1 − )​ 100 ​ 75 SP = 176 × ​ 100 ​ 3 SP = 176 × ​ 4 ​ SP = 44 × 3 = 132 Profit = SP - CP = 132 - 100 = 32 32 Profit Percentage = × 100 = 32%​ 100 ​ Final Answer So the correct answer is (c)