Question

Two vessels are full of milk with milk water ratio $1:3$ and $3:5$ respectively. If both are mixed in the ratio $3:2$, what is the ratio of milk and water in the new mixture?

• A. $4:15$
• B. $3:7$
• C. $6:7$
• D. None of the above

Answer 1

The correct option is D None of the above

Milk contents in $1^{st}$ vessel $=\frac{1}{4}$. water content $=\frac{3}{4}$
Milk contents in $2^{nd}$ vessel $=\frac{3}{8}$, water content $=\frac{5}{8}$
Milk contents in the mixture drawn from two vessels $=3\times \frac{1}{4}+\frac{3}{8}\times 2=\frac{3}{2}$
Water content $=3\times \frac{3}{4}+2\times \frac{5}{8}=\frac{7}{2}$
$\therefore \text{Ratio}=\frac{3}{2}:\frac{7}{2}=3:7$