In what ratio must water be mixed with milk to gain 16 2/3 % by selling the mix

Question

In what ratio must water be mixed with milk to gain 16 2/3 % by selling the mixture at cost price?

Options:

A . 1:6

B . 2:3

C . 4:3

D . 6:1

Answer: Option A

Let the C.P of the milk be Re. 1 per litre
Then S.P of 1 litre of mix =Re 1, Gain% =50/3%
C.P of 1 Litre of Mix =Rs(100 x 3/350 x 1) =Re 6/7
Ratio of water and milk =1/7 = 6/7 = 1: 6

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