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The following pie chart shows the percentage distribution of a total of 1600 employees in different departments of a company. The table shows the rati
Question

The following pie chart shows the percentage distribution of a total of 1600 employees in different departments of a company. The table shows the ratio of male to female employees in different departments. Study the information and answer the question that follows.

Departments

Male : Female

HR

3 : 5

IT

2 : 3

Accounts

3 : 7

Marketing

7 : 4

Production

5 : 3

What is the percentage of the number of employees in production department to the number of female employees of all the departments taken together? (correct to one decimal place)

A.

64.3%

B.

50.7%

C.

44.9%

D.

59.1%

Correct option is D

Formula Used:
Employees in each department = Percentage×Total Employees100\frac{\text{Percentage} \times \text{Total Employees}}{100}​​
Female employees in a department = Total Employees in Department×Female RatioTotal Ratio (Male + Female) \frac{\text{Total Employees in Department} \times \text{Female Ratio}}{\text{Total Ratio (Male + Female)}}​​
Required Percentage = Employees in Production DepartmentTotal Female Employees×100\frac{\text{Employees in Production Department}}{\text{Total Female Employees}} \times 100​​
Solution:
Employees in each department:
HR: 128.0
IT: 240.0
Accounts: 400.0
Marketing: 352.0
Production: 480.0
Female employees in each department:
HR: 80.0
IT: 144.0
Accounts: 280.0
Marketing: 128.0
Production: 180.0
Total female employees in all departments = 812.0
 Employees in production department = 480.0
Required Percentage = 480.0812.0×100=59.1\frac{480.0}{812.0} \times 100= 59.1 %%​


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