Question

Rani bought more apples than oranges. She sells apples at Rs. 23 apiece and makes 15% profit. She sells oranges at Rs. 10 a piece and makes 25% profit. If she gets Rs. 653 after selling all the apples and oranges, find her profit percentage.

Accepted Answer

B. Selling price equation: $23x + 10y = 653$, with $x > y$ (integers). Since $10y$ ends in 0, $23x$ must end in 3. So $x$ ends in 1. Testing $x = 21$: $23(21) = 483 \implies 10y = 170 \implies y = 17$. (Satisfies $x > y$). CP of 1 apple = $23 / 1.15 = 20$. CP of 1 orange = $10 / 1.25 = 8$. Total CP = $21(20) + 17(8) = 420 + 136 = 556$. Total SP = 653. Profit = $653 - 556 = 97$. Profit percentage = $(97 / 556) 	imes 100 \approx 17.4\%$.

Profit and Loss: Apples and Oranges

Explanation

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