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      Question

      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.
      A 445 ml Correct Answer Incorrect Answer
      B 437 ml Correct Answer Incorrect Answer
      C 337 ml Correct Answer Incorrect Answer
      D 650 ml Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      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

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