###
**In what ratio must water be mixed with milk to gain $16 \large\frac{2}{3} \%$ on selling the mixture at cost price?**

A. 1 : 6
B. 6 : 1
C. 2 : 3
D. 4 : 3
**Answer: Option A**

## Show Answer

Solution(By Apex Team)

Let C.P. of 1 litre milk be Rs. 1
S.P. of 1 litre of mixture = Rs. 1, Gain = $\Large\frac{50}{3} \%$
∴ C.P. of 1 litre of mixture = $100 \times \large\frac{3}{350} \times 1=\large\frac{6}{7}$
BY the rule of alligation, we have:
∴ Ration of water and milk = $\Large\frac{1}{7}: \frac{6}{7}$
= 1 : 6

## Related Questions On Alligation

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