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      Question

      Two mixtures, P and Q, have milk-to-sugar ratios of 8:11

      and 10:15, respectively. When these two mixtures are combined, the total quantity of the final mixture becomes 0.9 liters, with the milk-to-sugar ratio in the final mixture being 5:7. What was the original quantity of mixture Q before mixing?
      A 500 ml Correct Answer Incorrect Answer
      B 408 ml Correct Answer Incorrect Answer
      C 450 ml Correct Answer Incorrect Answer
      D 910 ml Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ;

      Let quantity of milk and sugar in mixture P and Q be 8x ml and 11x ml and 10y ml and 15y ml, respectively.

      Quantity of milk in 900 ml of mixture = 5/12 Ă— 900 = 375 ml

      Quantity of sugar in 900 ml of mixture = 900 – 375 = 525 ml

      So, 8x + 10y = 375

      And, 11x + 15y = 525

      Solving the above equations, we get;

      x = 15 and y = 20

      So, quantity of mixture Q = 20 Ă— 25 = 500 ml

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