Question

Q. There are two vessels - A, and B. A contains water and milk in the ratio 3: 2 and vessel B contains milk and honey in the ratio 5: 4. If one takes equal quantities of solutions from vessels A and B, and pours it into vessel C, what will be the concentration of milk in the new solution?

• A. 45.45%
• B. 42.69%
• C. 47.78%
• D. 50%

Answer 1

The correct option is C 47.78%

Explanation:
Let the quantity of milk and water in vessel $A$ be $\to 2x$ and $3x$ (total $5x$)
Let the quantity of milk and honey in Bessel $B$ be $\to 5y$ and $4y$ (total $9y$)
So, let us take out 45 litres of solution from both $A$ and $B.$
Quantity of milk taken out from vessel $A=2x/(3x+2x)\times 45=181$
Quantity of milk taken out from vessel $B=5y/(4y+5y)\times 45=251$
Total % quantity of milk $=\frac{(18+25)}{(45+45)}\times 100=\frac{43}{90}\times 100=47\frac{7}{9}\%$