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In a market, the price of medium quality mangoes is half that of good mangoes. A shopkeeper buys $80$ kg good mangoes and $40$ kg medium quality mangoes from the market and then sells all these at a common price which is $10\%$ less than the price at which he bought the good ones. His overall profit is

1. $6\%$
2. $8\%$
3. $10\%$
4. $12\%$

Let the price of each good mango be $p$. Then the price of each medium quality mango will be $\frac{p}{2}.$

Total  cost price    $= 80p + 40(\frac{p}{2}) = 80p + 20p = 100p$

Total  selling price $= 120p\times \frac{90}{100} = 108p$

$\therefore$ Overall  profit $= \left(\frac{108p-100p}{100p}\right)\times 100\%= \left(\frac{8p}{100p}\right)\times 100\% = 8\%.$

Correct Answer $:\text{B}$
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