Instructions

This data is regarding total number of employees working in Administration (Admin), Operations (Ops.) and other departments of corporate divisions of Companies A and B

The total number of employees working in both the companies together is 4800. The respective ratio of number of employees in Companies A and B is 5 : 7. Each employee works in only one of the mentioned departments.

In company A, 70% of the total employees are males. 60% of the total male employees work in ‘Ops’. Out of the remaining male employees, $${{{1^{th}}} \over 8}$$ work in ‘Admin’.

Out of the total female employees, 24% work in ‘Admin’ and$$ {{{5^{th}}} \over 8}$$ of the remaining female employees work in ‘Ops’.

In company B, 80% of the total employees are males. 65% of the total male employees work in ‘Ops’. Number of male employees who work in ‘other departments’ in Company B is 20% more than the male employees who work in ‘Other departments in company A. Number of female employees who work in Ops in Company B are less than the number of male employees who work for ‘Ops’ in the same company, by 75%. Out of the remaining female employees,$$ {1 \over 4} $$work in ‘Admin’.

Question 150

What is the difference between the average number of males working in ‘Admin’ in both the companies together and average number of females working in ‘Other Departments’ in both the companies together?

Solution

Total employees in both companies = 4800

=> Employees in company A = $$\frac{5}{12} \times 4800 = 2000$$

In company A, total males = $$\frac{70}{100} \times 2000 = 1400$$

Male employees who work in Ops = $$\frac{60}{100} \times 1400 = 840$$

=> Male employees who work in Admin = $$\frac{1}{8} \times 560 = 70$$

Total females in company A = $$2000 - 1400 = 600$$

Female employees who work in Admin = $$\frac{24}{100} \times 600 = 144$$

=> Female employees who work in Ops = $$\frac{5}{8} \times 456 = 285$$

=> Employees working in company B = $$4800 - 2000 = 2800$$

Similarly, employees working in company B :

Number of males working in ‘Admin’ in both the companies together = 70 + 196 = 266

=> Average = $$\frac{266}{2} = 133$$

Number of females working in ‘Other Departments’ in both the companies together = 171 + 147 = 318

=> Average = $$\frac{318}{2} = 159$$

$$\therefore$$ Difference = 159 - 133 = 26

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