A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?

[A].	10
[B].	20
[C].	21
[D].	25

Answer: Option C

Explanation:

Suppose the can initially contains 7x and 5x of mixtures A and B respectively.

Quantity of A in mixture left =		7x -	7	x 9		litres =		7x -	21	litres.
			12						4

Quantity of B in mixture left =		5x -	5	x 9		litres =		5x -	15	litres.
			12						4

	7x -	21
		4

	5x -	15	+ 9
		4

	28x - 21	=	7
	20x + 21		9

252x - 189 = 140x + 147

112x = 336

x = 3.

So, the can contained 21 litres of A.

Aptitude :: Alligation or Mixture : More Exercises

Alligation or Mixture - General Questions

A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?

Aptitude :: Alligation or Mixture : More Exercises

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