Question

    The total number of men to the total number of women in

    Offices A and B is in the ratio 50:13. Additionally, the number of women in Office A to those in Office B is in the ratio 2:1. Given that the total number of men across both offices is 450, determine the difference in the number of women between Office A and Office B.
    A 25 Correct Answer Incorrect Answer
    B 14 Correct Answer Incorrect Answer
    C 26 Correct Answer Incorrect Answer
    D 39 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ; Total men : total women = 50 : 13 Total men = 450 So total women = (13/50) × 450 = 117 Ratio of women in Office's A : B = 2 : 1 Difference = 117 × (2−1)/(2+1) = 39

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