55 litres of a mixture has milk and water in the ratio 7

55 litres of a mixture has milk and water in the ratio 7 : 4 . How much water must be added to get milk and water in the ratio 7 : 6 in the resulting mixture .

Milk : Water = 7 : 4
Sum of the ratios = 7 + 4 = 11

∴ Fraction of water in the given mixture =	4	.
	11

For water to be added , fraction = 1.
Similarly ,

Fraction of water in the resulting mixture =	6	.
	13

By Alligation Rule

So , water must be added to the mixture in the ratio	14	:	7
	143		13

=	2	: 1 = 2 : 11.
	11

∴ Quantity of water to be added =	2	" 55 ; 10 litres.
	11