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    Question

    In a factory with 8750 workers, 44% are men, and the remaining are women. 60% of the men and 45% of the women work as managers, out of which only 160 men and 155 women are not working as managers. What % of the total number of workers in the factory are working as managers?

    A 48% Correct Answer Incorrect Answer
    B 45% Correct Answer Incorrect Answer
    C 35% Correct Answer Incorrect Answer
    D 25% Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Number of men in the Factory = 8750 × 0.44 = 3850 Number of women in the Factory = 8750 – 3850 = 4900 Number of men who worked as a Manager = 3850 × 0.6 = 2310 Number of women who worked as the manager = 4900 × 0.45 = 2205 Number of men working as a manager = 2310 – 160 = 2150 Number of women working as the manager = 2205 – 155 = 2050 So, total number of workers in the factory working as a manager = 2150 + 2050 = 4200 Therefore, required percentage = (4200/8750) × 100 = 48%

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