Question:

By selling 11 oranges for a rupee, a man loses 10%. How many oranges for a rupee should he sell to gain 10%?

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Find CP from given loss/gain relation, then compute required SP for the desired gain and invert to get quantity per unit price.
Updated On: Aug 12, 2025
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The Correct Option is A

Solution and Explanation

Selling 11 for Rs.1 means SP per orange = $\dfrac{1}{11}$. This SP gives 10% loss, so SP = $0.9\times CP$. Thus $CP = \dfrac{SP}{0.9} = \dfrac{1/11}{0.9}=\dfrac{1}{9.9}$. For 10% gain, desired SP per orange = $1.1\times CP = 1.1\times \dfrac{1}{9.9} = \dfrac{1}{9}$. Thus he should sell 9 oranges for Rs.1. Hence option (a).
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