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Finding Discounts

A shopkeeper ...

Question

A shopkeeper sells one-third of his goods at a profit of $10 %$ , another one-third at a profit of $20 %$ and the rest at a loss of $6 %$ . What is his overall profit percentage?

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Solution

Let the shopkeeper buy 300 g for Rs 300
Now he sells 100 g for Rs 110, another 100 g for Rs 120 and the rest 100g for Rs 94
$∴$ Total amount he recevies = Rs110+ Rs 120+ Rs 94
= Rs 324
$∴$ the shopkeeper spends Rs 300 and gets back Rs 324.
$∴$ his profit % = $\frac{24}{300} \times 100$ %= 8%

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