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    Question

    In an office, the ratio of the number of males to number

    of females is 9:4. If 2 males joined the class and 8 females left the class, then the ratio of number of males to that of females in an office would become 5:2. Find the actual number of females in the class.
    A 88 Correct Answer Incorrect Answer
    B 107 Correct Answer Incorrect Answer
    C 96 Correct Answer Incorrect Answer
    D 65 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let initially the number of males and females in an office be 9x and 4x respectively. According to the question, => (9x + 2) : (4x – 8) = 5:2 => 18x + 4 = 20x – 40 => x = 22 Therefore, number of females in an office = 4 x 22 = 88

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