Question

Milk and water are mixed in the proportion $5:2$ in container A, and in container B in the proportion, $8:5$.
In what proportion should quantities be taken from the two vessels as to form a mixture with milk and water in the proportion $9:4?$

• A. 3:8
• B. 3:7
• C. 4:9
• D. 2:7
• E. 7:2

Answer 1

The correct option is E

7:2

In vessel A, milk = $\frac{5}{7}$ of the weight of mixture.

In vessel B, milk = $\frac{8}{13}$ of the weight of mixture.

Now, to form a mixture in which milk will be $\frac{9}{13}$ of the weight of this mixture.

By alligation rule:

Required proportion = $\frac{1}{13}$ $:$$\frac{2}{91}$ = $7:2$