A vessel contains 60 litres of milk. 12 litres of milk is

A vessel contains 60 litres of milk. 12 litres of milk is taken out from it and replaced by water. Then again from mixture, 12 litres is again taken out and replaced by water. The ratio of milk and water in the resultant mixture is :

Remaining amount of milk = Initial quantity

=		1 −	quantity taken out		ⁿ
			Initial quantity

= 60		1 −	12		²
			60

= 60		1 −	1		²
			5

= 60 ×	4	×	4
	5		5

= 38.4 litres
Quantity of water = 60 – 38.4
= 21.6 litres
∴ Required ratio
= 38.4 : 21.6 = 16 : 9