Question

    A container has 360 litres of a mixture containing milk

    and water in the ratio of 3:2. 50 litres of milk and ‘p’ litres of water are added into the container so that the final ratio of milk to water becomes 5:4. Find the value of ‘p’.
    A 68.8 litres Correct Answer Incorrect Answer
    B 72.5 litres Correct Answer Incorrect Answer
    C 42.5 litres Correct Answer Incorrect Answer
    D 55.8 litres Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Quantity of milk in 360 litres of mixture = 360 × [3/(3 + 2)] = 360 × (3/5) = 216 litres

    Quantity of water in 360 litres of mixture = 360 – 216 = 144 litres

    According to the question;

    (216 + 50)/(144 + p) = 5/4

    Or, 4(266) = 5(144 + p)

    Or, 1064 = 720 + 5p

    Or, 5p = 344

    Or, p = 68.8 litres

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