Analyzing Employee Distribution Data for Delhi

The problem provides a table showing the distribution of employees across different cities and departments within an organization. We are given specific information about the number of employees in Delhi and the percentage distribution across HR, Finance, IT, and Accounts departments, with some values missing. We are also given a crucial relationship between the number of employees in the Accounts and HR departments in Delhi.

Understanding the Data for Delhi

From the table, we know the following for Delhi:

• Total number of employees in Delhi: 900
• Percentage of employees in Finance department: 18%
• Percentage of employees in Accounts department: 28%
• Percentage of employees in HR department: Missing ('-')
• Percentage of employees in IT department: Missing ('-')

We also know that the sum of percentages for all four departments in any city must equal 100%.

\( \% HR + \% Finance + \% IT + \% Accounts = 100\% \)

Applying the Condition for Delhi Departments

The problem states that the number of employees in the Accounts department in Delhi is 40% more than the number of employees in the HR department in Delhi.

Let \(N_{Accounts}\) be the number of employees in Accounts in Delhi and \(N_{HR}\) be the number of employees in HR in Delhi.

The condition is: \(N_{Accounts} = N_{HR} + 40\% \text{ of } N_{HR}\)

This can be written as: \(N_{Accounts} = N_{HR} \times (1 + \frac{40}{100}) = N_{HR} \times 1.4\)

The number of employees in a department is calculated as: Total employees in city \(\times\) (Department Percentage / 100).

For Delhi, this means:

\(N_{Accounts} = 900 \times \frac{\% Accounts}{100}\)

\(N_{HR} = 900 \times \frac{\% HR}{100}\)

Substituting these into the condition:

\(900 \times \frac{\% Accounts}{100} = (900 \times \frac{\% HR}{100}) \times 1.4\)

We can cancel out 900/100 from both sides:

\( \% Accounts = \% HR \times 1.4 \)

We know that \(\% Accounts = 28\%\) for Delhi. So,

\( 28\% = \% HR \times 1.4 \)

Now, we can solve for \(\% HR\):

\( \% HR = \frac{28\%}{1.4} = \frac{280}{14}\% = 20\% \)

Calculating the Missing IT Percentage for Delhi

Now that we have the percentage for HR (20%), and we already know the percentages for Finance (18%) and Accounts (28%), we can find the missing percentage for IT using the total percentage rule:

\( \% HR + \% Finance + \% IT + \% Accounts = 100\% \)

\( 20\% + 18\% + \% IT + 28\% = 100\% \)

Adding the known percentages:

\( (20 + 18 + 28)\% + \% IT = 100\% \)

\( 66\% + \% IT = 100\% \)

Solving for \(\% IT\):

\( \% IT = 100\% - 66\% = 34\% \)

Finding the Number of Employees in IT Department in Delhi

The number of employees in the IT department in Delhi is 34% of the total employees in Delhi. Total employees in Delhi are 900.

Number of IT employees in Delhi = \( 900 \times \frac{34}{100} \)

Number of IT employees in Delhi = \( 9 \times 34 \)

Number of IT employees in Delhi = \( 306 \)

Therefore, the number of employees who work in the IT department in Delhi is 306.

Step-by-Step Calculation Summary

1. Identify the total employees in Delhi (900) and known department percentages (Finance 18%, Accounts 28%).
2. Use the condition that Accounts employees are 40% more than HR employees to find the HR percentage: \(28\% = \% HR \times 1.4\), which gives \(\% HR = 20\%\).
3. Use the fact that department percentages sum to 100% to find the IT percentage: \(20\% + 18\% + \% IT + 28\% = 100\%\), which gives \(\% IT = 34\%\).
4. Calculate the number of IT employees in Delhi: \(900 \times \frac{34}{100} = 306\).

Revision Table: Key Concepts in Data Interpretation

Additional Information: Employee Data Analysis

Analyzing employee data is crucial for organizations to understand their workforce distribution, plan resources, and make informed decisions. Data tables like the one provided help visualize the composition of the workforce across different locations and departments.

• City-wise Distribution: Shows where the employees are located, which can impact infrastructure, local management, and operational costs.
• Department-wise Distribution: Indicates the staffing levels in different functions like HR, Finance, IT, and Accounts, revealing the organizational structure and resource allocation.
• Missing Data: In real-world scenarios, data might be incomplete. Problems like this test the ability to use given information and logical relationships to deduce missing values.
• Percentage vs. Absolute Numbers: Understanding the difference between percentages and absolute numbers is vital. Percentages show proportions, while absolute numbers show actual counts. Both are important for a complete picture. For instance, 34% in Delhi refers to 306 employees out of 900, while 30% in Mumbai refers to 228 employees out of 760.

Such data analysis skills are important in various fields, including business analytics, human resources, and data science.