Solving Employee Data Interpretation Question

This question requires us to analyze the provided table containing the percentage distribution of employees across five different organisations (A to E) and the ratio of male to female employees within each organisation. We are given the total number of employees across all organisations and asked to find the difference between the number of female employees in Organisation E and Organisation B.

Understanding the Given Data

We have the following key information:

• Total number of employees in all five organisations = 35,000
• Table shows the percentage of total employees in each organisation.
• Table shows the ratio of male to female employees for each organisation.

Step-by-Step Solution

Step 1: Calculate the total number of employees in Organisation E

The percentage of employees in Organisation E is 14% of the total employees.

Number of employees in Organisation E = 14% of 35,000

This can be calculated as:

\( \text{Number of employees in E} = \left(\frac{14}{100}\right) \times 35,000 \)

\( \text{Number of employees in E} = 14 \times 350 \)

\( \text{Number of employees in E} = 4900 \)

Step 2: Calculate the number of female employees in Organisation E

The ratio of Male to Female employees in Organisation E is 1 ∶ 3.

The sum of the ratio parts is \( 1 + 3 = 4 \).

The fraction of female employees in Organisation E is \( \frac{\text{Female Ratio Part}}{\text{Sum of Ratio Parts}} = \frac{3}{4} \).

Number of female employees in Organisation E = \( \frac{3}{4} \) of the total employees in Organisation E.

\( \text{Number of females in E} = \left(\frac{3}{4}\right) \times 4900 \)

\( \text{Number of females in E} = 3 \times \left(\frac{4900}{4}\right) \)

\( \text{Number of females in E} = 3 \times 1225 \)

\( \text{Number of females in E} = 3675 \)

Step 3: Calculate the total number of employees in Organisation B

The percentage of employees in Organisation B is 22% of the total employees.

Number of employees in Organisation B = 22% of 35,000

This can be calculated as:

\( \text{Number of employees in B} = \left(\frac{22}{100}\right) \times 35,000 \)

\( \text{Number of employees in B} = 22 \times 350 \)

\( \text{Number of employees in B} = 7700 \)

Step 4: Calculate the number of female employees in Organisation B

The ratio of Male to Female employees in Organisation B is 11 ∶ 9.

The sum of the ratio parts is \( 11 + 9 = 20 \).

The fraction of female employees in Organisation B is \( \frac{\text{Female Ratio Part}}{\text{Sum of Ratio Parts}} = \frac{9}{20} \).

Number of female employees in Organisation B = \( \frac{9}{20} \) of the total employees in Organisation B.

\( \text{Number of females in B} = \left(\frac{9}{20}\right) \times 7700 \)

\( \text{Number of females in B} = 9 \times \left(\frac{7700}{20}\right) \)

\( \text{Number of females in B} = 9 \times 385 \)

\( \text{Number of females in B} = 3465 \)

Step 5: Calculate the difference between the number of females in Organisation E and Organisation B

We need to find the difference between the number of females in Organisation E and the number of females in Organisation B.

Difference = Number of females in E - Number of females in B

\( \text{Difference} = 3675 - 3465 \)

\( \text{Difference} = 210 \)

Therefore, the difference between the number of females in Organisation E and the number of females in Organisation B is 210.

Revision Table: Key Calculations

Additional Information on Data Interpretation

Data interpretation questions often involve analyzing tables, charts, or graphs to extract information and perform calculations. Key skills required include:

• Percentage Calculation: Understanding how to calculate a percentage of a total value. The formula is \( \text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100 \) or \( \text{Part} = \left(\frac{\text{Percentage}}{100}\right) \times \text{Whole} \).
• Ratio and Proportion: Understanding how to divide a total quantity according to a given ratio. If a quantity is divided in the ratio \(a:b\), the parts are \( \frac{a}{a+b} \) and \( \frac{b}{a+b} \) of the total.
• Careful Reading: Paying close attention to what the question asks for (e.g., difference, sum, ratio, percentage difference) and which specific data points to use.
• Systematic Approach: Breaking down the problem into smaller, manageable steps, as demonstrated in the solution above.
• Accuracy in Calculation: Double-checking calculations, especially with percentages and ratios involving large numbers.

These types of questions are common in competitive exams to test analytical and quantitative skills. Practice with different data sets and question types helps improve speed and accuracy.