Understanding the Employee Data Distribution

The question provides a table showing the percentage distribution of total employees, males, and graduates across six departments (A to F) in a company. We are also given the total number of employees and the ratios of Male to Female and Graduate to Post-Graduate employees for the entire company. Our goal is to find the number of employees in Department F who are Post-Graduate.

Let's first break down the total number of employees based on the given ratios.

Total Employee Distribution Calculations

The total number of employees in the company is $\text{8000}$.

The ratio of Male to Female employees is $\text{3 : 5}$.

• Total parts in the Male-Female ratio = $\text{3 + 5 = 8}$
• Total Males = $\left(\frac{3}{8}\right) \times 8000 = 3 \times 1000 = \text{3000}$
• Total Females = $\left(\frac{5}{8}\right) \times 8000 = 5 \times 1000 = \text{5000}$

The ratio of Graduate to Post-Graduate employees is $\text{3 : 2}$.

• Total parts in the Graduate-Post-Graduate ratio = $\text{3 + 2 = 5}$
• Total Graduates in the company = $\left(\frac{3}{5}\right) \times 8000 = 3 \times 1600 = \text{4800}$
• Total Post-Graduates in the company = $\left(\frac{2}{5}\right) \times 8000 = 2 \times 1600 = \text{3200}$

So, within the total 8000 employees, there are 3000 males, 5000 females, 4800 graduates, and 3200 post-graduates.

Analyzing Data for Department F

The question specifically asks about Department F. Let's extract the relevant percentages for Department F from the provided table.

Now, let's calculate the actual numbers for Department F based on these percentages and the total numbers we calculated earlier.

• Total Employees in Department F:

  Percentage of total employees in Department F is 21%.

  Number of employees in Department F = 21% of 8000

  Number of employees in Department F = $\left(\frac{21}{100}\right) \times 8000 = 21 \times 80 = \text{1680}$

• Total Graduates in Department F:

  Percentage of total graduates in Department F is 24%.

  Total graduates in the company is 4800.

  Number of graduates in Department F = 24% of 4800

  Number of graduates in Department F = $\left(\frac{24}{100}\right) \times 4800 = 24 \times 48$

  To calculate $24 \times 48$:

  $24 \times 48 = (20 + 4) \times 48 = 20 \times 48 + 4 \times 48$

  $20 \times 48 = 960$

  $4 \times 48 = 192$

  $960 + 192 = 1152$

  Number of graduates in Department F = $\text{1152}$

Calculating Post-Graduates in Department F

Every employee in a department is either a Graduate or a Post-Graduate (based on the given overall company distribution).

So, the total number of employees in Department F is the sum of Graduates in Department F and Post-Graduates in Department F.

Employees in Department F = Graduates in Department F + Post-Graduates in Department F

We want to find the number of Post-Graduates in Department F.

Post-Graduates in Department F = Employees in Department F - Graduates in Department F

Post-Graduates in Department F = $1680 - 1152$

Calculation:

$1680 - 1152 = 528$

Therefore, the number of employees working in Department F who are Post-Graduate is 528.

Revision Table: Key Calculations

Additional Information: Data Interpretation Tips

When dealing with data interpretation questions involving tables and percentages, it's helpful to follow these steps:

• Read the question carefully to understand exactly what is being asked.
• Identify the total values and ratios provided for the whole company or dataset.
• Calculate the actual numbers for totals based on ratios (e.g., total males, total graduates).
• Identify the specific department or category the question is about.
• Use the percentages from the table to calculate the numbers for that specific department/category based on the relevant total (total employees, total males, total graduates, etc.). Be careful to use the correct total base for each percentage.
• Perform the final calculation requested in the question using the numbers you've derived.
• Double-check your calculations, especially percentage calculations and subtractions.

In this problem, understanding that the percentage distribution of 'Males' is based on the 'Total Males' in the company, and similarly for 'Graduates' on 'Total Graduates', is crucial. The percentage distribution of 'Employees' is based on the 'Total Employees'.