Question : Study the pie chart and answer the question.
If 80% of the number of employees working in the IT department and 40% of the number of employees working in both the HR and Accounts departments are females, then total number of female employees working in these three departments is _____.
Option 1: 312
Option 2: 332
Option 3: 344
Option 4: 364
Correct Answer: 364
Solution :
Given:
Angle value of IT department = $72^\circ$
Angle value of Accounts department = $57.6^\circ$
Angle value of HR department = $32.4^\circ$
Value of a sector = $\frac{\text{Central angle of sector}}{360^\circ}\times$ Total Value
Now,
Number of female employees in IT department = $\frac{72}{360} \times \frac{80}{100} \times 1400 = 224$
Number of female employees in HR and Account department = $\frac{(57.6 + 32.4)}{360}\times \frac{40}{100}\times 1400 = 140$
Total female employees in IT, HR, and Accounts departments = 224 + 140 = 364
Hence, the correct answer is 364.
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