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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 × 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 × 25 = 500 ml

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