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**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 CP of 1 liter milk be Rs. 1 SP of 1 liter of mixture = Rs. 1, Gain = $\Large\frac{50}{3} \%$ CP of 1 liter 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

### The ratio, in which tea costing Rs. 192 per kg is to be mixed with tea costing Rs. 150 per kg so that the mixed tea when sold for Rs. 194.40 per kg, gives a profit of 20%.

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C. 5 : 3

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### An alloy contains zinc, copper and tin in the ratio 2 : 3 : 1 and another contains copper, tin and lead in the ratio 5 : 4 : 3. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kg in new alloy will be:

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C. $\large\frac{3}{14} \mathrm{~kg}$

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