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Question

A fruit seller has 24 kg of apples. He sells a part of these at 20% gain and the balance at a loss of 5%. If on the whole he earns a profit of 10%, the amount of apples sold at loss is :

A
6 kg
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B
4.6 kg
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C
9.6 kg
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D
11.4 kg
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Solution

The correct option is C 9.6 kg
Suppose, the quantity sold at a loss be x kg and let C.P. per kg be Rs. 1
Total C.P. = Rs. 24.
Total S.P. = 120% of (24-x) +95% of x.
=65(24x)+19x20=57624x+19x20=5765x20 5765x20=110or 5765x20=26410or 5765x=528 or 5x=48or x=9.6 kg

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