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    Question

    What is the original amount of mixture 'P' if 25% of it, consisting of petrol and diesel in a 5:6 ratio, is combined with 240 liters of mixture 'Q' with a petrol and diesel ratio of 5:3, resulting in a final mixture 'Q' with a petrol to diesel ratio of 4:3?

    A 440 Correct Answer Incorrect Answer
    B 220 Correct Answer Incorrect Answer
    C 540 Correct Answer Incorrect Answer
    D 225 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the initial quantity of petrol and diesel in mixture ‘P’ be 5p litres and 6p litres, respectively Quantity of petrol in mixture ‘Q’ = 240 × (5/8) = 150 litres Quantity of diesel in mixture ‘Q’ = 240 – 150 = 90 litres ATQ, (150 + 0.25 × 5p)/(90 + 0.25 × 6p) = 4/3 Or, 450 + 3.75p = 360 + 6p Or, 2.25p = 90 Or, p = 90/2.25 = 40 Therefore, total quantity of mixture ‘Q’ = 5p + 6p = 440 litres

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