### A vessel contains milk and water in the ratio 3 : 2. The volume of the contents is increased by 50% by adding water to it. From this resultant solution 30 L is withdrawn and then replaced with water. The resultant ratio of milk water in the final solution is 3 : 7. Find the original volume of the solution.

A. 80 L B. 65 L C. 75 L D. 82 L Answer: Option A

### Solution(By Apex Team)

Let the original volume be x. then, quantity of milk and water, = $\Large\frac{3 x}{5}$ and $\Large\frac{2 x}{5}$ respectively. After adding water to it, the volume becomes 150%, the quantity of milk and water, \begin{aligned}=&\frac{3x}{5}\text{ and }\frac{9x}{10}\\ &\frac{3x}{5}-12=\frac{3}{7}\\ &\frac{9x}{10}+12\\ &14(3x-60)=3(9x+120)\\ &\text{ Or, }x=80\mathrm{~L}\end{aligned}

## 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