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    Question

    40% of employees in a company are managers and the rest

    are staff. 50% of managers and 75% of staff were promoted. Find the ratio of the number of managers who were promoted to the number of staff who were not promoted.
    A 2:5 Correct Answer Incorrect Answer
    B 5:7 Correct Answer Incorrect Answer
    C 4:3 Correct Answer Incorrect Answer
    D 7:3 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the total number of employees be 100n. Number of managers = 0.4 × 100n = 40n. Number of staff = 100n - 40n = 60n. Number of managers promoted = 0.5 × 40n = 20n. Number of staff not promoted = 0.25 × 60n = 15n. Required ratio = 20n:15n = 4:3.

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