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

Question:
In what ratio must water be mixed with milk to gain 16% on selling the mixture at cost price?

[A].

1 : 6

[B].

6 : 1

[C].

2 : 3

[D].

4 : 3

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 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