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Question
A fruit vendor bought 60 kg of apples at Rs. 90 per kg. He sold 40 kg of the apples at a loss of 10%. At what per kg should he sell the remaining apples so as to gain 25% on the whole.
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Solution
C.P. of 60kg of apple
= Rs.(90 x 60)
= Rs.5400
Gain percent on the whole
= 25% of Rs.5400
= `(25)/(100) xx "Rs."5400`
= Rs.1350
C.P. of 40 kg of apples
= Rs.(90 x 40)
= Rs.3600
Loss = 10% of 3600
= `(10)/(100) xx "Rs."3600`
= Rs.360
Quantity of apples left to be sold
= 60 - 40
= 20 kg
C.P. of 20 kg apples
= Rs.(90 x 20)
= Rs.1800
Profit to be made by selling 20 kg apples
= Rs.1350 + 360
= Rs.1710
∴ S.P. of 20 kg apples
= C.P. + Profit
= Rs.1800 + Rs.1710
= Rs.3510
∴ S.P. of 1 kg apples
= Rs.`(3510)/(20)`
= Rs.175.50
Hence, he should sell the remaining apples at Rs.175.50 per kg to gain 25% on the whole.
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