A fruit seller purchased $50 k g$ of mangoes at the rate of $R s . 22$ per kg. He sold some of the mangoes at the rate of $R s . 30$ per kg and the rest at the rate of $R s . 20$ per kg. If he incurred $25$ % profit overall, the amount of mangoes sold at the rate of $R s . 20$ per kg is

12.5 k g

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37.5 k g

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25 k g

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20.5 k g

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Solution

The correct option is A $12.5 k g$
CP of $50 k g$ mangoes $= 50 \times 22 = R s . 1100$
SP of $50 k g$ mangoes $= \frac{125}{100} \times 1100 = R s . 1375$
Let the mangoes sold at $R s . 30$ per kg be $x$ .
According to the question,
$30 \times x + 20 (50 - x) = 1375$
$30 x - 20 x = 375$
$x = \frac{375}{10} = 37.5 k g$
Hence, mangoes sold at $R s . 20 k g = 50 - 37.5 = 12.5 k g$ .

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A fruit seller purchased 50 kg of mangoes at the rate of Rs.22 per kg. He sold some of the mangoes at the rate of Rs.30 per kg and the rest at the rate of Rs.20 per kg. If he incurred 25% profit overall, the amount of mangoes sold at the rate of Rs.20 per kg is

The correct option is A 12.5 kgCP of 50 kg mangoes =50×22=Rs.1100SP of 50 kg mangoes =125100×1100=Rs.1375Let the mangoes sold at Rs.30 per kg be x.According to the question,30×x+20(50−x)=137530x−20x=375x=37510=37.5 kgHence, mangoes sold at Rs.20 kg=50−37.5=12.5 kg.

A fruit seller purchased $50 k g$ of mangoes at the rate of $R s . 22$ per kg. He sold some of the mangoes at the rate of $R s . 30$ per kg and the rest at the rate of $R s . 20$ per kg. If he incurred $25$ % profit overall, the amount of mangoes sold at the rate of $R s . 20$ per kg is