# Two blends of a commodity costing Rs 35 and Rs 40 per kg respectively are mixed in the ratio 2 : 3 by weight. If one-fifth of the mixture is sold at Rs 46 per kg and the remaining at te rate of Rs 55 per kg, the profit percent is

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by divankaggarwal

2016-01-28T21:39:03+05:30

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Ratio of mixture=2:3
C.P of 1st blend per kg=Rs. 35
C.P of 1st blend for 2kg=Rs.70
C.P of 2nd blend per kg=Rs. 40
C.P of 2nd blend for 3 kg=Rs. 120
Total C.P=70+120
=Rs.190
1/5 of mixture, i.e., 1 kg is sold @ Rs.46,
Rest is sold at Rs. 55 / kg.
Total S.P=Rs. (46+55*4)
=Rs. 266
∵S.P>C.P,
Gain = S.P-C.P
=Rs. (266-190)
=Rs. 76
∴ Gain % =Gain/C.P*100
=(Rs. 76/Rs. 190)*100
Simplify and you will get 40% gain as the answer