Understanding the Problem: Calculating Total Males Across Organisations

The question asks us to find the total number of male employees working across five different organisations (A, B, C, D, and E). We are given the total number of employees across all organisations, the percentage distribution of employees in each organisation, and the ratio of male to female employees within each organisation.

Analysing the Employee Data Table

The provided table gives us the necessary data to solve the problem. It shows the percentage of the total 35,000 employees working in each organisation and the ratio of male to female employees in each organisation.

Step-by-Step Calculation of Males in Each Organisation

To find the total number of males, we first need to calculate the number of employees in each organisation and then, using the ratio, find the number of males in that specific organisation. The total number of employees is 35,000.

Calculating Employees and Males in Organisation A

• Number of employees in Organisation A = 18% of 35,000
• Total employees in A = $\frac{18}{100} \times 35000 = 18 \times 350 = 6300$
• Male to Female ratio in A = 3:7
• Total ratio parts = 3 + 7 = 10
• Number of males in Organisation A = $\frac{\text{Male ratio part}}{\text{Total ratio parts}} \times \text{Total employees in A}$
• Number of males in A = $\frac{3}{10} \times 6300 = 3 \times 630 = 1890$

Calculating Employees and Males in Organisation B

• Number of employees in Organisation B = 22% of 35,000
• Total employees in B = $\frac{22}{100} \times 35000 = 22 \times 350 = 7700$
• Male to Female ratio in B = 11:9
• Total ratio parts = 11 + 9 = 20
• Number of males in Organisation B = $\frac{11}{20} \times 7700 = 11 \times 385 = 4235$

Calculating Employees and Males in Organisation C

• Number of employees in Organisation C = 31% of 35,000
• Total employees in C = $\frac{31}{100} \times 35000 = 31 \times 350 = 10850$
• Male to Female ratio in C = 3:2
• Total ratio parts = 3 + 2 = 5
• Number of males in Organisation C = $\frac{3}{5} \times 10850 = 3 \times 2170 = 6510$

Calculating Employees and Males in Organisation D

• Number of employees in Organisation D = 15% of 35,000
• Total employees in D = $\frac{15}{100} \times 35000 = 15 \times 350 = 5250$
• Male to Female ratio in D = 2:3
• Total ratio parts = 2 + 3 = 5
• Number of males in Organisation D = $\frac{2}{5} \times 5250 = 2 \times 1050 = 2100$

Calculating Employees and Males in Organisation E

• Number of employees in Organisation E = 14% of 35,000
• Total employees in E = $\frac{14}{100} \times 35000 = 14 \times 350 = 4900$
• Male to Female ratio in E = 1:3
• Total ratio parts = 1 + 3 = 4
• Number of males in Organisation E = $\frac{1}{4} \times 4900 = 1 \times 1225 = 1225$

Calculating the Total Number of Males

Now, we sum up the number of male employees from all five organisations (A to E) to find the total number of males.

• Total males = Males in A + Males in B + Males in C + Males in D + Males in E
• Total males = 1890 + 4235 + 6510 + 2100 + 1225
• Total males = 15960

Thus, the total number of males in all the five organisations together is 15960.

Revision Table: Summary of Calculations

Total Males = 1890 + 4235 + 6510 + 2100 + 1225 = 15960

Additional Information: Data Interpretation Fundamentals

Data interpretation questions often involve analyzing tables, charts, or graphs to extract relevant information and perform calculations. Key concepts frequently tested include:

• Percentages: Calculating a percentage of a total, or finding what percentage one value is of another.
• Ratios: Understanding ratio parts and distributing a total quantity according to a given ratio.
• Averages: Calculating the mean of a set of values.
• Profit and Loss: Calculating profit, loss, profit percentage, or loss percentage.
• Speed, Time, and Distance: Solving problems based on the relationship between these three quantities.

Practicing with different types of data representation and calculations is crucial for mastering data interpretation for competitive exams.