Two items are each sold for the same price. One gives a gain of $25\%$ and the other a loss of $25\%$. The overall result is:

Practice this question from Chapter Mock 4: Profit and Loss, with options and an explanation.

Question

Two items are each sold for the same price. One gives a gain of $25\%$ and the other a loss of $25\%$. The overall result is:

Option A

No profit, no loss

Option B

6.25% gain

Option C — Correct answer

6.25% loss

Correct choice.

Option D

12.5% loss

Explanation

Equal gain and equal loss percentages on the same selling price produce a loss. Shortcut: net loss $=\frac{25^2}{100}=6.25\%$.

Chapter Mock 4: Profit and Loss

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