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?
Show answer & explanation
Correct answer: A
Explanation
Milk = 72 liters, Water = 48 liters
24 liters of the mixture were withdrawn →
Milk withdrawn = (3/5) × 24 = 14.4
Water withdrawn = (2/5) × 24 = 9.6
Remaining quantities →
Milk = 72 − 14.4 = 57.6
Water = 48 − 9.6 = 38.4
Now, 24 liters of pure milk were added →
Milk = 57.6 + 24 = 81.6
Water = 38.4
Ratio = 81.6 : 38.4 = 17 : 8