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    Question

    A container has 600 litres of a liquid mixture made up

    of milk and water in the ratio 4:x. If 30 litres of water is added, the new ratio of milk to water becomes 8:7. Find the value of x.
    A 9 Correct Answer Incorrect Answer
    B 1 Correct Answer Incorrect Answer
    C 3 Correct Answer Incorrect Answer
    D 6 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Total quantity of the final mixture = 600 + 30 = 630 litres Milk in the final mixture = (8/15) × 630 = 336 litres Water in the final mixture = 630 – 336 = 294 litres Since milk remains unchanged, milk in the original mixture = 336 litres Water in the original mixture = 600 – 336 = 264 litres So, initial ratio of milk to water = 336 : 264 = 4 : 3 Hence, x = 3

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