Question
In what ratio must water be mixed with milk to gain 16 \(\frac{2}{3}\) % on selling the mixture at cost price?
Answer: Option A
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Let C.P. of 1 litre milk be Re. 1.
S.P. of 1 litre of mixture = Re.1, Gain = \(\frac{50}{3}\) %
So, C.P. of 1 litre of mixture = \(\left(100\times\frac{3}{350}\times1\right)=\frac{6}{7}\)
By the rule of alligation, we have:
C.P. of 1 litre of water = 0
C.P. of 1 litre of milk = Rs.1
Main Price = \(\frac{6}{7}\)
So, Ratio of water and milk = \(\frac{1}{7}:\frac{6}{7}=1:6.\)
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