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

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