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