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    70% of the employees in a firm are men. 30% of men and 20% of women employees opt for voluntary retirement. What is the percentage of the total number
    Question

    70% of the employees in a firm are men. 30% of men and 20% of women employees opt for voluntary retirement. What is the percentage of the total number of employees continue in service?

    A.

    70%

    B.

    27%

    C.

    30%

    D.

    73%

    Correct option is D

    Solution:

    Let the total number of employees in the firm be 100
    Number of men = 100 × (70/100) = 70
    Number of women = 100 – 70 = 30
    Number of men who continue in service = 70 × (70/100) = 49
    Number of women who continue in service = 30 × (80/100) = 24
    Total number of employees who continue in service = 49 + 24 = 73
    Percentage of the total number of employees continue in service= (73/100) × 100 = 73%

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