A container holds 120 litres of a solution containing milk and water in the ratio 3 : 2. If 24 litres of  this solution are taken out and replaced with pure milk, what will be the new ratio of milk to water?

Total solution = 120 litres, Milk : Water = 3 : 2, 24 litres solution निकालकर उसकी जगह pure milk डालते हैं।

Step 1: Original quantities of milk and water
Milk = $ \frac{3}{3+2} \times 120 = 72$ litres
Water = $ \frac{2}{5} \times 120 = 48$ litres

Step 2: Remove 24 litres of solution
Milk removed = $ \frac{3}{5} \times 24 = 14.4$ litres
Water removed = $ \frac{2}{5} \times 24 = 9.6$ litres

Step 3: Quantities left in container
Milk left = $72 - 14.4 = 57.6$ litres
Water left = $48 - 9.6 = 38.4$ litres

Pure milk added = 24 litres

New milk = $57.6 + 24 = 81.6$ litres
Water remains = 38.4 litres

Step 4: New ratio of milk to water
$ \text{Milk : Water} = 81.6 : 38.4 $

Divide both by 4.8:
$ \frac{81.6}{4.8} : \frac{38.4}{4.8} = 17 : 8 $

Answer / उत्तर: 17 : 8