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

      Question

      A container has milk and water in the ratio  5 : 3 .

      If  12 litres  of the mixture is taken out and replaced with  12 litres of water , the ratio becomes  3 : 2 . Find the initial quantity of the mixture.
      A 300 litres Correct Answer Incorrect Answer
      B 220 litres Correct Answer Incorrect Answer
      C 240 litres Correct Answer Incorrect Answer
      D 265 litres Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let total mixture = x litres Initial milk = 5x/8 Initial water = 3x/8 After removing 12 litres of mixture: Milk left = 5x/8 - 12 × 5/8 = 5x/8 - 15/2 Water left = 3x/8 - 12 × 3/8 = 3x/8 - 9/2 After adding 12 litres water: Water = 3x/8 - 9/2 + 12 = 3x/8 + 15/2 New ratio = 3 : 2 So, (5x/8 - 15/2) / (3x/8 + 15/2) = 3/2 2(5x/8 - 15/2) = 3(3x/8 + 15/2) x = 300 litres

      Practice Next
      More Mixture Questions
      ask-question