A vendor bought 15 kg of rice at a certain rate per kg. After a week, he sold 6 kg of the rice at 20% profit, 6 kg at neither profit nor loss and 3 kg at 10% loss. In this transaction, what is his profit percentage?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 6%.
Let cost price (CP) per kg = ₹1
Total CP = 15 × 1 = ₹15
Selling:
6 kg at 20% profit ⇒ SP = 6 × 1.2 = ₹7.2
6 kg at no profit/loss ⇒ SP = 6 × 1 = ₹6
3 kg at 10% loss ⇒ SP = 3 × 0.9 = ₹2.7
Total SP = 7.2 + 6 + 2.7 = ₹15.9
Profit = ₹15.9 - ₹15 = ₹0.9
Profit % = (0.9/15) × 100 = 6%