A tank contains 250 liters of a mixture of milk and water. 80% of the milk and 20% of the water are taken out separately. If 44% of the total mixture is removed from the tank, find the initial quantity of milk.

ATQ, 80% of milk is removed. 20% of water is removed. Overall, 44% of the total mixture is removed. Now compare the overall removal percentage with milk and water removal percentages. Milk : Water = (Overall percentage − Water percentage) : (Milk percentage − Overall percentage) Milk : Water = (44 − 20) : (80 − 44) Milk : Water = 24 : 36 Now simplify the ratio. 24 : 36 = 2 : 3 So, the initial ratio of milk to water = 2 : 3 Total quantity of mixture = 250 liters. Total ratio parts = 2 + 3 = 5 parts. Milk quantity = 2 parts out of 5 parts. Initial milk quantity = (2/5) × 250 Initial milk quantity = 100 liters