Coffee costing Rs.250 per kg was mixed with chicory costing 75 per kg in the ratio 5:2 for a
certain blend. If the mixture was sold at 230 per kg, find the gain or loss per cent.
Answers
cost of coffee=250 per kg.
cost of chicory =75 per kg
coffee: chicory 5:2
if the weight of mixture is 1 kg.
7
5x+2x
=1
⇒7x=7
⇒x=1
∴ weight of coffee =
7
5x
=
7
5
kg
weight of chicory =
7
2x
=
7
2
kg
cost of
7
5
kg coffee =
7
5
×250=
7
1250
cost of
7
2
kg chicory =
7
2
×75=
7
150
total cost of 1 kg mixture =
7
1250
+
7
150
cost price of 1 kg mixture =
7
1400
=200 Rs
selling of 1 kg minute = 230 Rs
gain or loss =
CP
SP−CP
×100=
200
230−200
×100
=
2
30
=15%
Since its positive, the mixture was sold at a gain of 15%.
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+2x/7 =1
⇒7x=7
⇒x=1
∴ weight of coffee= 5x/7=5/7kg
weight of chicory = 2x/7=2/7kg
cost of 5/7 kg coffee =
5/7 ×250= 1250/7
cost of7/ kg chicory =
7
2
×75=
7
150
total cost of 1 kg mixture =
7
1250
+
7
150
cost price of 1 kg mixture =
7
1400
=200 Rs
selling of 1 kg minute = 230 Rs
gain or loss =
CP
SP−CP
×100=
200
230−200
×100
=
2
30
=15%
since its positive, the mixture was sold at a gain of 15%.