Instructions

Study the information carefully to answer the following questions :

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.

Question 146

# What is the total number of females working in the IT and Recruitment Department together ?

Solution

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

=> No. of females in the IT and Recruitment department together = 13 + 70 = 83