Question 28

Pure ghee costs ₹92 per kg. After adulterating it with vegetable oil costing ₹46 per kg, a shopkeeper sells the mixture at the rate of ₹84 per kg, thereby making a profit of 40%. In what ratio does he mix the two?

Name: Pure ghee costs ₹92 per kg. After adulterating it with vegetable oil costing ₹46 per kg, a shopkeeper sells the mixture at the rate of ₹84 per kg, thereby making a profit of 40%. In what ratio does he mix the two?
Uploaded: 2026-06-19T15:32:47.718771+05:30
Duration: 6 min 35 s
Description: Pure ghee costs ₹92 per kg. After adulterating it with vegetable oil costing ₹46 per kg, a shopkeeper sells the mixture at the rate of ₹84 per kg, thereby making a profit of 40%. In what ratio does he mix the two?

Solution

The SP of the mixture is 84 per kg and the profit %age is 40%, then the Cost of the mixture is $$\frac{84}{1.4}=60$$.
Let us assume that X kg out of 1 kg is pure ghee and the remaining 1-X kg is vegetable oil.
Cost of this mixture => 92X + 46(1-X) = 60
==> 46X = 14
X = 7/23 and 1-X = 16/23
X : 1-X = 7:16.

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