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    Question

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

    of females is 12:7. If 4 males joined the officeand 5 females left the office, 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 office.
    A 24 Correct Answer Incorrect Answer
    B 21 Correct Answer Incorrect Answer
    C 11 Correct Answer Incorrect Answer
    D 15 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 12x and 7x respectively. According to the question, => (12x + 4) : (7x – 5) = 5:2 => 24x + 8 = 35x – 25 => x = 3 Therefore, number of females in an office = 7 x 3 = 21

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