 ## A vessel contains 60 litres of milk. 12 litres of milk taken out from it and replaced with water. Then again from mixture, 12 litres is taken out and replaced with water. The ratio of milk and water in the resultant mixture is ?

A. 16 : 9 B. 15 : 10 C. 16 : 10 D. 9 : 5 Answer: Option A

### Solution(By Apex Team)

\begin{aligned}&\text{Total milk = 60 litres}\\ &\text{Drawn off = 12 litres}\\ &\frac{\text{ Final quantity }}{\text{ Initial quantity }}=\left(1-\frac{x}{c}\right)^t\\ &\text{X = Replaced quantity}\\ &\text{C = Capacity}\\ &\text{T = Number of process}\\ &\frac{\text { Final quantity }}{\text { Initial quantity }}=\left(1-\frac{12}{60}\right)^{2} \\ &=\left(\frac{4}{5}\right)^{2} \\ &=\frac{16}{25} \end{aligned} Ratio of milk and water in the resultant mixture : = 16 : 9

## Related Questions On Alligation

A. 2 : 5
B. 3 : 5
C. 5 : 3
D. 5 : 2

### 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:

A. $\large\frac{1}{2} \mathrm{~kg}$
B. $\large\frac{1}{8} \mathrm{~kg}$
C. $\large\frac{3}{14} \mathrm{~kg}$
D. $\large\frac{7}{9} \mathrm{~kg}$

A. 81 litres
B. 71 litres
C. 56 litres
D. 50 litres