Question

A container contains 65 litres of a mixture of milk and water mixed in the ratio of 10:3. How much water must be added to it so that the ratio of milk and water be 8:5?

• A. 16.25 litres
• B. 14.25 litres
• C. 18.25 litres
• D. 12.25 litres

Answer 1

The correct option is A

16.25 litres

Quantity of mixture initially= 65 litres
Milk:Water= 10:3
Quantity of milk, in 65 litres of mixture= $\frac{10}{13}\times 65=50l$
and quantity of water, in 65 litres of mixture= $\frac{3}{13}\times 65=15l$

We add x litre of water to the mixture.
Now, quantity of water will be (15+x) litres
According to question,
$\frac{50l}{(15+x)l}=\frac{8}{5}$
$50\times 5=8(15+x)250=120+8x8x=130x=\frac{130}{8}=16.25$