In a mixture of 75 liters, the ratio of milk to water is 3 : 2. If the ratio is to be 1 : 2, how much water should be added?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 60 liters.
Quantity of the mixture = 75
Ratio of milk and water = 3 : 2
Let the amount of milk and water be 3x and 2x respectively.
Thus, Milk in the mixture = 75 × (3x/5x) = 45 liters
Water in the mixture = 75 × (2x/5x) = 30 liters
Let the milk and water in the new mixture be x and 2x respectively.
In the new mixture amount of milk will be the same as in the previous mixture.
Thus, x = 45 liters
2x = 45 × 2 = 90 liters
Water added = 90 - 30 = 60 liters