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 a 25% profit overall, the amount of mangoes sold at the rate of Rs. 20 per kg is:

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12.5 kg

37.5 kg

25 kg

20.5 kg

answer is A.

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Detailed Solution

Concept- The cost price (CP) of the 50 kg of mangoes should be determined first. Using the formula

, we must then find the selling price for the 50 kg of mangoes by raising the cost price value by 25%. The mangoes should then be sold for Rs. 30 per kg (x). The mangoes can be sold for Rs. 20 per kg by 50-x, we learn later. We can now calculate the value of the quantity of mangoes sold at the rate of Rs. 20 per kg by using these two conditions.
CP, 50 kg of mangoes =

SP, 50 kg of mangoes =

Let x be the number of kg of mangoes sold at Rs.30
Thus,
Question Image

Mangoes cost

Hence,the correct option is 1.

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