Analyzing Employee Data Across Organisations

The problem asks us to determine the approximate percentage of employees in Organisation C compared to the total number of employees in Organisation D, based on the provided table and the total number of employees across all five organisations.

We are given the following information:

• Total number of employees in all five organisations (A to E) = 35,000.
• A table showing the percentage distribution of employees across each organisation and the male-to-female ratio within each.

The question specifically asks about the total number of employees in Organisation C and Organisation D. The male-to-female ratio data is not needed to answer this specific question.

Calculating Employees in Organisation C

The percentage of employees in Organisation C is 31% of the total number of employees.

Total employees = 35,000

Percentage of employees in C = 31%

Number of employees in C = \( \text{Total employees} \times \frac{\text{Percentage in C}}{100} \)

Number of employees in C = \( 35000 \times \frac{31}{100} \)

Number of employees in C = \( 350 \times 31 \)

Number of employees in C = \( 10850 \)

So, there are 10,850 employees in Organisation C.

Calculating Employees in Organisation D

The percentage of employees in Organisation D is 15% of the total number of employees.

Total employees = 35,000

Percentage of employees in D = 15%

Number of employees in D = \( \text{Total employees} \times \frac{\text{Percentage in D}}{100} \)

Number of employees in D = \( 35000 \times \frac{15}{100} \)

Number of employees in D = \( 350 \times 15 \)

Number of employees in D = \( 5250 \)

So, there are 5,250 employees in Organisation D.

Calculating the Percentage

We need to find what percentage the total number of employees in Organisation C is of the total number of employees in Organisation D.

Required Percentage = \( \frac{\text{Number of employees in C}}{\text{Number of employees in D}} \times 100 \)

Required Percentage = \( \frac{10850}{5250} \times 100 \)

We can simplify the fraction:

\( \frac{10850}{5250} = \frac{1085}{525} \)

Divide both numerator and denominator by 5:

\( \frac{1085 \div 5}{525 \div 5} = \frac{217}{105} \)

Now calculate the percentage:

Required Percentage = \( \frac{217}{105} \times 100 \)

Required Percentage = \( \frac{21700}{105} \)

Performing the division:

\( 21700 \div 105 \approx 206.66... \)

The question asks for the approximate percentage. 206.66...% is approximately 207%.

Conclusion

The total number of employees in Organisation C is approximately 207% of the total number of employees in Organisation D.

Revision Table: Key Concepts

Review the core concepts used in this problem:

• Percentage Calculation: Finding a part of a whole when the whole and the percentage are known. Formula: \( \text{Part} = \text{Whole} \times \frac{\text{Percentage}}{100} \).
• Ratio: A comparison of two quantities. Not directly used in the final calculation for *total* employees in C vs D, but important for understanding the table data structure.
• Percentage Change/Comparison: Expressing one quantity as a percentage of another. Formula: \( \frac{\text{Quantity 1}}{\text{Quantity 2}} \times 100 \).

Additional Information: Data Interpretation Skills

Solving problems like this requires strong data interpretation skills, particularly from tables. Key aspects include:

• Carefully reading the question to understand exactly what is being asked (e.g., total employees, male employees, female employees).
• Identifying the relevant data points in the table and the overall context (like the total number of employees).
• Using percentages and ratios correctly to calculate specific values.
• Performing arithmetic calculations accurately.
• Understanding the difference between absolute numbers and percentages.
• Knowing how to express one number as a percentage of another.

Practice with various types of data representation (tables, charts, graphs) helps improve these skills, which are common in quantitative aptitude sections of many exams.