2019 · Q83
A person sells two items each at Rs. 990, one at a profit of 10% and another at a loss of 10%. What is the combined percentage of profit or loss for the two items?
Elementary MathematicsProfit and Loss
- A1% loss
- B1% profit
- CNo profit no loss
- D0.5% profit
Explanation
Let each item's SP be Rs. 990. The first was sold at 10% profit, so its CP = 990/1.1 = Rs. 900; the second at 10% loss, so its CP = 990/0.9 = Rs. 1100. Total CP = Rs. 2000, total SP = Rs. 1980: a net loss of Rs. 20, i.e. 1%. In general, equal SPs with ±x% give a loss of x²/100%. The profit and loss do not cancel — the answer is (A) 1% loss.