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Question

Coffee costing Rs.250 per kg was mixed with chicory costing Rs.75 per kg in the ratio 5:2 for a certain blend. If the mixture was sold at Rs.230 per kg , find the gain or loss per cent.

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Solution

cost of coffee=250 per kg.
cost of chicory =75 per kg
coffee: chicory 5:2
if the weight of mixture is 1 kg.
5x+2x7=1
7x=7
x=1
weight of coffee = 5x7=57 kg
weight of chicory = 2x7=27 kg
cost of 57 kg coffee = 57×250=12507
cost of 27 kg chicory = 27×75=1507
total cost of 1 kg mixture = 12507+1507
cost price of 1 kg mixture = 14007=200 Rs
selling of 1 kg minute = 230 Rs

SP>CP, so it is a case of gain.

gain %=SPCPCP×100%=230200200×100%
= 302=15%
Hence, the mixture was sold at a gain of 15%.

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