Question

Milk contains 5% of water. What quantity of pure milk should be added to 8 liters of milk to reduce this to 4%?
1. 4 liters
2. 2 liters
3. 3 liters
4. 1 liters

Answer 1

Correct Answer - Option 2 : 2 liters

Given: 

Quantity of mixture = 8 liters

Calculation: 

Let the percentage of quantity of mixture be 100x 

                   Milk            Water

Initial           95%             5% = 19 : 1 ----(1)

Final            96%             4% = 24 : 1   ---(2) 

In both condition the ratio of water in mixture is same 

So, 20x = 8 

⇒ x = 2/5 

Change in Milk = 5x = 5 × 2/5 = 2 liters 

∴ MIlk added in mixture to reduce 4% of water is 2 liters