In what ratio two types of ghee should be mixed with having cost prices of Rs. 105 per kg and Rs. 145 per og in order to get a mean price of Rs. 120 per kg
Answers
Answer:
The cost price of pure ghee = Rs. 100 per kg
The cost price of vegetable oil = Rs. 50 per kg
The shopkeeper sells the mixture at the rate of Rs. 96 per kg, thereby making a profit of 20%
To find:
In what ratio does he mix the two?
Solution:
The S.P. of the mixture = Rs. 96 per kg
Profit = 20%
∴ The C.P. of the mixture is
= \frac{100}{100 + G\%} \times S.P.
100+G%
100
×S.P.
= \frac{100}{100 + 20} \times 96
100+20
100
×96
= \frac{100}{120} \times 96
120
100
×96
= Rs.\:80\:per\:kgRs.80perkg
Now, we have the C.P. per kg of pure ghee, vegetable oil and the mixture of both, so by using the mixture and alligation method, we get
Pure Ghee Vegetable Oil
100 50
Mixture
80
30 20
3 2
∴ \bold{\frac{Pure \:Ghee}{Vegetable\;Oil} = \frac{3}{2}}
VegetableOil
PureGhee
=
2
3
Thus, the shopkeeper should mix pure ghee and vegetable oil in the ratio of 3:2.
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