📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!
  • google app store apple app store
    • ✖

      Question

      In a container, the ratio of milk to water is 5:3. If

      30% of the mixture is removed and replaced by the same quantity of milk and 24 ml of water is added afterwards, the new ratio of milk to water becomes 11:5. What was the volume of the mixture removed?
      A 58 ml Correct Answer Incorrect Answer
      B 69 ml Correct Answer Incorrect Answer
      C 99 ml Correct Answer Incorrect Answer
      D 87 ml Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the quantities of milk and water be 5x ml and 3x ml respectively Amount of mixture taken out = 0.3 × (5x + 3x) = 2.4x According to question, (0.7 × 5x + 2.4x)/(0.7 × 3x + 24) = 11/5 (3.5x + 2.4x)/(2.1x + 24) = 11/5 5.9x/(2.1x + 24) = 11/5 Cross-multiplying: 5 × 5.9x = 11 × (2.1x + 24) 29.5x = 23.1x + 264 6.4x = 264 x = 41.25 Amount of mixture taken out = 2.4 × 41.25 = 99 ml

      Practice Next
      More Mixture Questions

      Relevant for Exams:

      ask-question