A person sold two different items at the same price. He made 10% profit in one…
2024
A person sold two different items at the same price. He made 10% profit in one item, and 10% loss in the other item. In selling these two items, the person made a total of
- A.
1% profit
- B.
2% profit
- C.
1% loss
- D.
2% loss
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Correct answer: C
Solution: Let the selling price of each item be S.
First item (10% profit): cost price = S / 1.1 = 10S/11.
Second item (10% loss): cost price = S / 0.9 = 10S/9.
Total cost = S*(10/11 + 10/9) = S*(200/99). Total revenue = 2S.
Net loss = Total cost − Total revenue = S*(200/99) − 2S = S*(2/99).
Loss percent = (S*(2/99)) / (S*(200/99)) = 2/200 = 1/100 = 1% loss.
Answer: 1% loss.
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