A container contains 112 liters of a milk-water mixture in the ratio 3:4. Some quantity of pure milk is added to it. After this, the ratio of water to milk becomes 2:3. Find the quantity of milk in the final mixture.

ATQ, The total quantity of mixture = 112 liters. The ratio of milk to water = 3:4. Total ratio parts = 3 + 4 = 7. Quantity of milk in the original mixture = (112 × 3) ÷ 7 = 48 liters. Quantity of water in the original mixture = (112 × 4) ÷ 7 = 64 liters. Now, pure milk is added to the container. So, the quantity of water remains the same because no water is added or removed. Quantity of water in the final mixture = 64 liters. The new ratio of water to milk = 2:3. Here, 2 parts represent water. So, 2 parts = 64 liters. 1 part = 64 ÷ 2 = 32 liters. Milk in the final mixture = 3 parts = 3 × 32 = 96 liters.