A fruit seller buys 100 kg of apples at the rate of Rs.20 per kg. He sold 2/5 of the apples at a loss of 7 %. At what rate must the remaining apples make a profit of 15 % on the sale of all apples?

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19.06 %

29.66 %

79.56 %

69.66 %

answer is B.

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Detailed Solution

Given that,
Rate of apples = Rs. 20
Total rate of 100 kg apples = 100x20=2000 rupees
2
Now, 2/5 apples of 100 kg =

x 100=40 kg
5
So rate of 40 kg apple= 40x20=800 rupees
He sales 40 kg apples at a loss of 7 %, So he get
=800 x 93 = Rs.744
100
To make a profit of 15 %=115 x 2000=2300 Rs.
100
Required selling price of remaining 60 kg = 2300-744=1856
∴ Required profit = 1550-1200=356
So, profit in percentage = 3500x100 = 29.66 %
1200
Hence he will sell the apple 29.66 % rate to get 15 % profit.

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