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In an organisation consisting of 750 employees, the ratio of Males to Females is 8 : 7 respectively. All the employees work in five different departments viz. HR, Management, PR, IT and Recruitment. 16 per cent of the Females work in Management Department. 32 per cent of Males are in HR Department. One-fifth of the Females are in the Department of Recruitment. The ratio of Males to Females in the Management Department is 3 : 2 respectively. 20 per cent of the total numbers of employees are in PR Department. Females working in Recruitment are 50 per cent of the Males working in the same Department. 8 per cent of the Males are in IT Department. The remaining Males are in PR Department. 22 per cent of the Females work in HR Department and the remaining Females are working in IT Department.
Total number of employees = 750
Males = $$\frac{8}{15} * 750$$ = 400
Females = 750 - 400 = 350
Females in Mgmt department = $$\frac{16}{100} * 350$$ = 56
Males in HR department = $$\frac{32}{100} * 400$$ = 128
Females in recruit department = $$\frac{1}{5} * 350$$ = 70
Males in Mgmt department = $$\frac{3}{2} * 56$$ = 84
Total employees in PR department = $$\frac{20}{100} * 750$$ = 150
Males in recruit department = 2 * 70 = 140
Males in IT department = $$\frac{8}{100} * 400$$ = 32
Males in PR department = 750 - 128 - 84 - 140 - 32 = 16
Females in PR department = 150 - 16 = 134
Females in HR department = $$\frac{22}{100} * 350$$ = 77
Females in IT department = 350 - 77 - 56 - 134 - 70 = 13
Clearly, number of females in the HR department = 77
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