In what ratio must water be mixed with milk to gain 16 2/3

In what ratio must water be mixed with milk to gain 16 1-div-2by3 % on selling the mixture at cost price?

Answer: Option A

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 waterC.P. of 1 litre of milk

Mean Price

Re.	6
	7

Re. 1

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