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

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

Accepted Answer

47% — Easy Anchor everything to the (equal) selling price. From the first sale, recover the two cost prices via the $+20\%$ and $-10\%$ markups. Then set $B$'s new price to give $+10\%$ profit; since $A$ and $B$ still sell at the same price, that same price applied to $A$'s cost gives $A$'s new profit. Pick the common first selling price as $108$ (a convenient multiple of both $1.2$ and $0.9$) so the cost prices come out whole. 1 Back out the cost prices from selling price $=108$: $$	ext{CP}_A=\frac{

CAT 2023 Slot 1 — QA Question 7

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