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    Question

    A vessel contains 300 litres of milk. Each time, x

    litres of the mixture are replaced with water, and this is done three times. If finally the vessel has 97.65 litres of water, calculate x.
    A 50 Correct Answer Incorrect Answer
    B 70 Correct Answer Incorrect Answer
    C 60 Correct Answer Incorrect Answer
    D 90 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    300 Γ— (1 – x/300)Β³ = 300 – 97.65 300 Γ— ((300 – x)/300)Β³ = 202.35 ((300 – x)/300)Β³ = 202.35/300 ((300 – x)/300)Β³ = 673/1000 ((300 – x)/300)Β³ = (0.88)Β³ (300 – x) = 0.88 Γ— 300 300 – x = 264 x = 36

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