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

Question

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

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Accepted Answer

47%. Let us assume the initial selling prices of A and B is p. Given, she made profit of 20% on A => 1.2 * c = p => c = 5p/6 => cost of A is 5 6 p \dfrac{5}{6}p 6 5 ​ p Given, she made a loss of 10% on B => 0.9 * c = p => c = 10p/9 => cost of B is 10 9 p \dfrac{10}{9}p 9 10 ​ p Now, she