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A mixture contains pure ghee and vanaspati in the ratio 7:2. If it contains 20 litres more ghee than vanaspati, the quantity of pure ghee in the mixtu
Question

A mixture contains pure ghee and vanaspati in the ratio 7:2. If it contains 20 litres more ghee than vanaspati, the quantity of pure ghee in the mixture is:

A.

12 litres

B.

14 litres

C.

28 litres

D.

24 litres

Correct option is C

Given:
Ratio of ghee to vanaspati = 7 : 2
Difference in quantity of ghee and vanaspati = 20 litres

Solution:
Let the common multiplying factor be x.

If the ratio is 7:2, let the common multiple be x.
Then, quantity of ghee = 7x
Quantity of vanaspati = 2x
Difference = 7x−2x=5x
Given, difference = 20 litres
So,
5x=20
=>x=205=4\Rightarrow x = \frac{20}{5} = 4​​
Quantity of pure ghee = 7x = 7×4=28 litres

Final Answer:
Option C) 28 litres

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