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(24−x)+19x20=576−24x+19x20=576−5x20∴576−5x20=110or576−5x20=26410or576−5x=528or5x=48orx=9.6kg