Five kilograms of sugar costing Rs. 15 per kg is mixed with ten kilograms of sugar costing Rs. 12 per kg. The mixture is sold at 20% profit. Find the selling price of the mixture (in Rs/kg)
Answers
Step-by-step explanation:
Selling Price(SP) of 1 kg mixture= Rs. 9.24
Profit = 10%
Cost Price(CP) of 1 kg mixture
=
100
(
100
+
Profit
%
)
×
SP
=
100
(
100
+
10
)
×
9.24
=
100
110
×
9.24
=
92.4
11
=
Rs.
8.4
By rule of alligation,
CP of 1 kg sugar of 1st kind CP of 1 kg sugar of 2nd kind
Rs. 9 Rs. 7
Mean Price
Rs.8.4
8.4 - 7 = 1.4 9 - 8.4 = 0.6
i.e., to get a cost price of 8.4, the sugars of kind1 and kind2 should be mixed in the ratio 1.4 : 0.6 = 14 : 6 = 7 : 3
Suppose
x
kg of kind1 sugar is mixed with 27 kg of kind2 sugar.
then
x
: 27 = 7 : 3
⇒
3
x
=
27
×
7
⇒
x
=
9
×
7
=
63
The selling price of the mixture is Rs.15.6 per kg.
Given :
Five kilograms of sugar costing Rs. 15 per kg is mixed with ten kilograms of sugar costing Rs. 12 per kg
Profit percent = 20%
To find :
The selling price of the mixture (in Rs/kg)
Solution :
Cost of 5 kg of sugar which are for Rs. 15 per kg = 5 × 15 /-
= 75 /-
Cost of 10 kg of sugar which are for Rs. 12 per kg = 10 × 12 /-
= 120/-
Total cost of 15kg sugar (mixture) = 75 + 120
= Rs. 195 /-
S.P of 15kg of sugar = C.P + Profit
= 195 + 20/100 × 195
= 195 + 39
= 234
S.P of 15 kg sugar = Rs.234
Hence, S.P of 1 kg of sugar = 234/15 = Rs.15.6
Therefore, the selling price of the mixture is Rs.15.6 per kg.
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