Understanding the Employee Distribution Data

The question asks us to find out by what percentage the total number of female employees in department F is more than the total number of male employees in department A. We are provided with the total number of employees, the overall male to female ratio, and the percentage distribution of employees, males, and graduates across different departments.

Calculating Total Male and Female Employees

The total number of employees in the company is 8000. The ratio of male to female employees is given as 3 ∶ 5.

The total parts in the ratio are $3 + 5 = 8$.

• Number of male employees = $\left(\frac{3}{8}\right) \times 8000 = 3 \times 1000 = 3000$
• Number of female employees = $\left(\frac{5}{8}\right) \times 8000 = 5 \times 1000 = 5000$

We can verify that the total is $3000 + 5000 = 8000$, which matches the given total number of employees.

Analyzing Department-wise Data

We need to use the data table provided to find the number of male employees in department A and the number of female employees in department F.

Calculating Male Employees in Department A

According to the table, 25% of the total male employees work in department A.

• Total male employees = 3000
• Percentage of males in department A = 25%
• Number of male employees in department A = 25% of 3000 = $\left(\frac{25}{100}\right) \times 3000 = \left(\frac{1}{4}\right) \times 3000 = 750$

So, there are 750 male employees in department A.

Calculating Female Employees in Department F

To find the number of female employees in department F, we first need the total number of employees in department F and the number of male employees in department F.

• Percentage of total employees in department F = 21%
• Total number of employees = 8000
• Total employees in department F = 21% of 8000 = $\left(\frac{21}{100}\right) \times 8000 = 21 \times 80 = 1680$

Now, let's find the number of male employees in department F:

• Percentage of males in department F = 12%
• Total male employees = 3000
• Number of male employees in department F = 12% of 3000 = $\left(\frac{12}{100}\right) \times 3000 = 12 \times 30 = 360$

The number of female employees in department F is the total employees in department F minus the male employees in department F.

• Number of female employees in department F = Total employees in F - Male employees in F
• Number of female employees in department F = $1680 - 360 = 1320$

So, there are 1320 female employees in department F.

Calculating the Percentage Difference

We need to find how much the number of female employees in department F (1320) is more than the number of male employees in department A (750), expressed as a percentage of the male employees in department A.

• Difference = Number of female employees in F - Number of male employees in A
• Difference = $1320 - 750 = 570$

The percentage more is calculated using the formula:

$\text{Percentage More} = \left(\frac{\text{Difference}}{\text{Base Value}}\right) \times 100$

Here, the base value is the number of male employees in department A (750).

• Percentage more = $\left(\frac{570}{750}\right) \times 100$
• Percentage more = $\left(\frac{57}{75}\right) \times 100$ (Dividing numerator and denominator by 10)
• Percentage more = $\left(\frac{19}{25}\right) \times 100$ (Dividing numerator and denominator by 3)
• Percentage more = $19 \times \left(\frac{100}{25}\right) = 19 \times 4 = 76$

The total number of female employees in department F is 76% more than the total number of male employees working in department A.

Conclusion

Based on the calculations:

• Number of male employees in department A = 750
• Number of female employees in department F = 1320
• Percentage by which female employees in F are more than male employees in A = 76%

Revision Table: Key Employee Data Analysis

Additional Information: Data Interpretation Techniques

Data interpretation questions often involve extracting, calculating, and comparing values from tables, charts, or graphs. Key techniques used here included:

• Understanding Ratios: Converting ratios into fractions of the total.
• Calculating Percentages: Finding a percentage of a given total value.
• Calculating "Percentage More Than": This requires finding the difference and dividing by the base value (the value you are comparing *from*), then multiplying by 100. The formula is $\left(\frac{\text{Value 1} - \text{Value 2}}{\text{Value 2}}\right) \times 100$ if Value 1 is more than Value 2.
• Deducing Information: Using total values and component parts (like total employees and male employees in a department) to find the remaining component (female employees).
• Careful Reading: Identifying exactly what comparison is being asked for (e.g., "percentage more than" a specific group).

Practicing with different types of data representations and calculations helps build proficiency in data interpretation.