In what ratio must water be mixed with milk to gain 16⅔% on selling the mixture at cost price?

1 : 6
6 : 1
2 : 3
4 : 3

Correct Answer: 1 : 6

Explanation:

Let C.P. of 1 litre milk be Re. 1.

S.P. of 1 litre of mixture = Re.1, Gain =	50	%.
	3

∴ C.P. of 1 litre of mixture =	❨	100 x	3	x 1	❩	=	6
			350				7

By the rule of alligation, we have:

C.P. of 1 litre of water C.P. of 1 litre of milk

0

Mean Price

Re.	6
	7

Re. 1

1

7

6

7

∴ Ratio of water and milk =	1	:	6	= 1 : 6.
	7		7

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