Correct Answer - Option 1 : 44 litres
Given:
Initial quantity of mixture = 80 litres
Ratio of milk and water in the initial mixture = 2 : 3
Amount of mixture replaced with milk = 25%
Concept used:
If a fraction of mixture is removed from the mixture, then the ratio of milk and water will be same as previous.
Calculations:
Amount of mixture replaced with milk = 25% × 80
⇒ 20 litres
After removing 20 litres,
Ratio of milk and water in the remaining mixture of 60 litres will be in the ratio of 2 : 3
Let amount of milk and water be 2x and 3x litres respectively.
⇒ 2x + 3x = 60
⇒ 5x = 60
⇒ x = 12
New amount of milk = 2x
⇒ 2 × 12
⇒ 24 litres
New amount of water = 3x
⇒ 3 × 12
⇒ 36 litres
New amount of water = 36 litres
After adding 20 litres of milk in the new mixture,
New amount of milk in the final mixture = 24 + 20
⇒ 44 litres
∴ The amount of milk in the final mixture is 44 litres.