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    Question

    A container holds 300 litres of pure juice. 120 litres

    of juice is removed and replaced with an equal amount of water. This operation is done two more times. What is the quantity of water in the container at the end?
    A 315.5 litres Correct Answer Incorrect Answer
    B 177.5 litres Correct Answer Incorrect Answer
    C 198.5 litres Correct Answer Incorrect Answer
    D 235.2 litres Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Quantity of juice in the resultant mixture = 300 × (1 – 120/300)³

    = 300 × (1 – 0.4)³

    = 300 × (0.6)³

    = 300 × 0.216

    = 64.8 litres


    So, the quantity of water in the mixture = 300 – 64.8 = 235.2 litres

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