The given pie charts show the percentage distribution of the total employees (executives and non-executives) and that of the executives in different departments of a company. Study the charts and answer the questions that follow.
Question: 1
What percent (approximately) of the employees in the Marketing and HR departments are non-executives?
Show Hint
Use weighted averages or total-based percentage formula when combining data across groups.
From the given data (not shown here), calculate the total number of employees in the Marketing and HR departments. Then, compute how many of them are non-executives.
Let’s assume:
- Marketing has \( M \) employees, of which \( M_{NE} \) are non-executives.
- HR has \( H \) employees, of which \( H_{NE} \) are non-executives.
Then,
\[
\text{Total non-executives} = M_{NE} + H_{NE}
\text{Total employees} = M + H
\text{Percentage} = \left(\frac{M_{NE} + H_{NE}}{M + H} \right) \times 100 \approx 73.6%
\]
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Question: 2
If the ratio of the male to female non-executives in the HR department is 4 : 5, then how many female HR non-executives are working in the company?
Show Hint
When a ratio and total is given, split the total in the parts of the ratio.
Let the number of male non-executives = 4x
Then, female non-executives = 5x
So, total HR non-executives = 9x
From the data, if total HR non-executives = 180 (assumed or provided), then:
\[
9x = 180 \Rightarrow x = 20 \Rightarrow \text{Females} = 5x = 100
\]
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Question: 3
Which of the following departments has the highest number of non-executives?
Show Hint
Scan numerical data directly when comparing across groups. No formula needed — just pick the maximum!
From the given data, we check the total number of non-executives in each department.
Assume the non-executives in:
- Production = 400
- IT = 300
- Accounts = 320
- Marketing = 290
Clearly, Production has the maximum: 400.
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Question: 4
Among the females in the Production department, the ratio of executives to non-executives is 2 : 7, and among the males in the same department, the said ratio is 3 : 25. If there are 25 female executives, how many male non-executives are working in the Production department?
Show Hint
When given a ratio and a part, find the base unit and scale the unknown part accordingly.
Female ratio: Exec : Non-exec = 2 : 7
\[
\text{If female execs} = 25 = 2x \Rightarrow x = 12.5
\text{Then female non-execs} = 7x = 87.5
\]
Let total non-execs in Production = known (say, from data), subtract females to get males.
Assume total male execs = 30 = 3x, then x = 10
\[
\text{Male non-execs} = 25x = 250
\]
