Question

    In 100 litres of a mixture (milk + water), ratio of

    quantity of milk to that of water in a mixture is 5:3, respectively. (2x + 18.6) litres of milk and 39 litres of water is added to the mixture such that the quantity of milk in the resultant mixture is 40% more than that of water in it. Find the value of ‘x’.
    A 10 Correct Answer Incorrect Answer
    B 11 Correct Answer Incorrect Answer
    C 13 Correct Answer Incorrect Answer
    D 9 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Initially, Quantity of milk in the mixture = 100 × (5/8) = 62.5 litres Quantity of water in the mixture = 100 – 62.5 = 37.5 litres According to the question, 1.40 × (37.5 + 39) = 62.5 + 2x + 18.6 => 107.1 = 81.1 + 2x => x = 13

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