Multiple choice

A shopkeeper marks up his goods by 20% and then gives a discount of 20%. Besides he cheats both his supplier and customer by 100 g, i.e., he takes 1100 g from his supplier and sells only 900 g to his customer. What is his net profit percentage? (Rounded off to two decimal points)

  1. 24.5%

  2. 17.33%

  3. 25%

  4. 32.5%

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP be 1 per unit. Marked price = 1.2. Selling price = 1.2 * 0.8 = 0.96. Cheating: buys 1100g for price of 1000g, sells 900g for price of 1000g. Effective CP = 1000/1100 = 0.909. Effective SP = 1000/900 * 0.96 = 1.066. Profit = (1.066 - 0.909) / 0.909 = 0.1733 = 17.33%.