1)

A vessel contains 56 litres of mixture of milk and water in the ratio 5 : 2.How much water should be mixed with it so that the ratio of milk to water may be 4 : 5?


A) 16 litres

B) 30 litres

C) 28 litres

D) 34 litres

E) 45 litres

Answer:

Option D

Explanation:

Water content in the original mixture $= 56\times \left(\frac{2}{7}\right)$ $=16$ litres

Let $x$ litre of water be added to get the required ratio

$\frac{16+x}{56+x}=\frac{5}{4+5}$

$144+9x$ $= 280 + 5x$

$4x = 136$

$x = 34$ litres