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    Question

    A mixture (oil + kerosene) contains oil and kerosene in

    the ratio of 6:5, respectively. If 55 litres of the mixture is replaced with 25 litres of kerosene, then quantity of oil in the final mixture becomes 20 litres more than that of kerosene. Find the initial quantity of the mixture.
    A 121 litres Correct Answer Incorrect Answer
    B 165 litres Correct Answer Incorrect Answer
    C 187 litres Correct Answer Incorrect Answer
    D 220 litres Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the quantity of oil and kerosene in the initial mixture be тАШ6xтАЩ litres and тАШ5xтАЩ litres, respectively Quantity of oil in 55 litres of the mixture
    = 55 ├Ч (6/11) = 30 litres Quantity of kerosene in 55 litres of the mixture
    = 55 тИТ 30 = 25 litres According to the question, (6x тИТ 30) = (5x тИТ 25 + 25) + 20 Or, 6x тИТ 5x = 30 + 20 Or, x = 50 Initial quantity of the mixture
    = 11x = 11 ├Ч 50 = 550 litres

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