Gita sells two objects A and B at the same price such that she makes a profit of 20% on object A and a loss of 10% on object B. If she increases the selling price such that objects A and B are still sold at an equal price and a profit of 10% is made on object B, then the profit made on object A will be nearest to
Options
- 42%
- 47%
- 45%
- 49%
Correct Answer
47%
Explanation
Let CP of A=a, CP of B=b. First scenario: 1.2a=0.9b, so b=4a/3. Second scenario: SP=1.1b=1.1(4a/3)=4.4a/3. Profit on A = (4.4a/3-a)/a = 1.4a/3a = 0.4667 ≈ 47%.
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