A 30 litres mixture of milk and water contains 10% water. How much milk should be added so that the percentage of water in the mixture comes down to 2%?
Step-by-step Solution:
The initial mixture is 30 liters and contains 10% water.
Initial amount of water = 30 × (10/100) = 3 liters
Initial amount of milk = 30 - 3 = 27 liters
Let x be the amount of milk added.
New amount of milk = 27 + x liters
Amount of water remains the same = 3 liters
Total volume of the new mixture = 30 + x liters
New percentage of water = 2%
Equation: 3 = (2/100) × (30 + x)
3 × 100 = 2 × (30 + x)
300 = 2 × (30 + x)
150 = 30 + x
x = 120 liters
The amount of milk that should be added is (D) 120 litres.