Correct Answer - Option 2 : 18 : 19
Given:
The total amount of mixture is 108 litres.
The ratio of milk and water is 2 : 1
The amount of water is added is 40 litres.
Concept Used:
Total mixture = Quantity of milk + Quantity of water
Calculation:
Let the initial amount of water and milk be x, 2x.
Total amount of mixture = x + 2x = 3x
⇒ 3x =108
⇒ x = 108/3 = 36
Amount of water = 36 litres
Amount of milk = 2 × 36 = 72 litres
Then, 40 litres of water is added to the mixture
New amount of water = 36 + 40 = 76 litres
The new ratio of milk and water = 72 : 76 = 18 : 19
∴The ratio of milk and water in final mixture is 18 : 19.