Single correct option
A trader buys 80 pens at ₹15 each. He sells 50 of them at a profit of 20% and the remaining 30 at a loss of 10%. What is his overall profit percentage on the whole transaction?
- A. 7.5%
- B. 8.75%
- C. 9.5%
- D. 10%
Show answer and solution
Answer: (B) 8.75%
Total cost price = 80 × 15 = ₹1,200.
Sale of first 50 (20% profit): SP each = 15 × 1.2 = 18, total = 50 × 18 = ₹900.
Sale of remaining 30 (10% loss): SP each = 15 × 0.9 = 13.5, total = 30 × 13.5 = ₹405.
Total SP = 900 + 405 = ₹1,305. Profit = 1,305 − 1,200 = ₹105.
Profit% = 105/1200 × 100 = 8.75%.
Tip: With unequal quantities sold at different profit/loss rates, always weight by the actual money (CP or SP) involved, not just an average of the two percentages.
Sale of first 50 (20% profit): SP each = 15 × 1.2 = 18, total = 50 × 18 = ₹900.
Sale of remaining 30 (10% loss): SP each = 15 × 0.9 = 13.5, total = 30 × 13.5 = ₹405.
Total SP = 900 + 405 = ₹1,305. Profit = 1,305 − 1,200 = ₹105.
Profit% = 105/1200 × 100 = 8.75%.
Tip: With unequal quantities sold at different profit/loss rates, always weight by the actual money (CP or SP) involved, not just an average of the two percentages.
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