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 148

What Precent of the total number of female employees in company B work in administration department?

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 :

Total females in company B = 49 + 364 + 147 = 560

=> Required % = $$\frac{49}{560} \times 100 = 8.75 \%$$

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