In a blend of milk and water, the milk's quantity exceeds the water's by 37
ml. After 75% of this mixture is removed and 10.75 ml of milk is added, the milk quantity becomes 40% greater than the water quantity in the mixture. Determine the initial quantity of the mixture.

ATQ, Let the quantity of water in the initial mixture be '4a' ml So, quantity of milk in the initial mixture = (4a + 37) ml Quantity of water after removing 75% mixture = 4a × 0.25 = 'a' ml So, quantity of milk after removing 75% mixture = (4a + 37) × 0.25 = (a + 9.25) ml Quantity of milk after adding 10.75 ml of juice = (a + 9.25 + 10.75) = (a + 20) ATQ. (a + 20) ÷ a = (140/100) Or, 5 × (a + 20) = 7a Or, 100 = (7a - 5a) Or, 2a = 100 So, 'a' = 50 Therefore, initial quantity of mixture = (4a + 4a + 37) = (8a + 37) ml = (8 × 50 + 37) = 437 ml