Understanding Workforce Distribution Data

This question requires us to analyze data from a table showing the percentage distribution of India's workforce across different employment sectors and the male-to-female ratio within each sector. The total workforce across all sectors is given as 80 lakhs. We need to calculate the number of male workers in the Sales (SA) and Management (MA) sectors combined and express this as a percentage of the total workforce in the Production and Transport (PT) sector.

Total Workforce = 80 lakhs.

Calculating Workforce in Specific Sectors

First, let's find the total number of workers in the SA, MA, and PT sectors based on their percentage distribution of the total workforce.

• Total workforce in SA sector = 12% of 80 lakhs
• Total workforce in MA sector = 21% of 80 lakhs
• Total workforce in PT sector = 19% of 80 lakhs

Calculations:

• Total workforce in SA = \(\frac{12}{100} \times 80 = 0.12 \times 80 = 9.6\) lakhs
• Total workforce in MA = \(\frac{21}{100} \times 80 = 0.21 \times 80 = 16.8\) lakhs
• Total workforce in PT = \(\frac{19}{100} \times 80 = 0.19 \times 80 = 15.2\) lakhs

Determining Male Workforce in SA and MA Sectors

Now, we use the male-to-female ratios to find the number of male workers in the SA and MA sectors.

For SA Sector:

• Total workforce in SA = 9.6 lakhs
• Ratio of Male to Female (M:F) = 5:3
• Total parts in the ratio = 5 + 3 = 8
• The male workforce represents 5 parts out of 8.
• Male workforce in SA = \(\frac{5}{8}\) of Total workforce in SA
• Male workforce in SA = \(\frac{5}{8} \times 9.6\) lakhs
• Male workforce in SA = \(5 \times \frac{9.6}{8}\) lakhs
• Male workforce in SA = \(5 \times 1.2\) lakhs = 6 lakhs

For MA Sector:

• Total workforce in MA = 16.8 lakhs
• Ratio of Male to Female (M:F) = 3:4
• Total parts in the ratio = 3 + 4 = 7
• The male workforce represents 3 parts out of 7.
• Male workforce in MA = \(\frac{3}{7}\) of Total workforce in MA
• Male workforce in MA = \(\frac{3}{7} \times 16.8\) lakhs
• Male workforce in MA = \(3 \times \frac{16.8}{7}\) lakhs
• Male workforce in MA = \(3 \times 2.4\) lakhs = 7.2 lakhs

Total Male Workforce in SA and MA Put Together

The total number of male workforce in SA and MA sectors combined is the sum of male workers in each sector.

• Total male workforce (SA + MA) = Male workforce in SA + Male workforce in MA
• Total male workforce (SA + MA) = 6 lakhs + 7.2 lakhs = 13.2 lakhs

Calculating the Required Percentage

We need to find what percentage the total male workforce in SA and MA (13.2 lakhs) is of the total workforce in the PT sector (15.2 lakhs).

• Required Percentage = \(\frac{\text{Total male workforce in SA and MA}}{\text{Total workforce in PT}} \times 100\)
• Required Percentage = \(\frac{13.2 \text{ lakhs}}{15.2 \text{ lakhs}} \times 100\)
• Required Percentage = \(\frac{13.2}{15.2} \times 100\)
• Required Percentage = \(\frac{132}{152} \times 100\)
• Required Percentage = \(\frac{33}{38} \times 100\)
• Required Percentage \(\approx 0.8684 \times 100 \approx 86.84\%\)

The question asks for the approximate percentage. \(86.84\%\) is closest to \(87\%\).

Conclusion

Based on the data and calculations, the number of male workforce in SA and MA sectors put together is approximately 87% of the total number of workforce in the PT sector.

Revision Table: Key Calculations

Additional Information: Data Interpretation Basics

Data interpretation questions often involve tables, charts, or graphs and require you to extract information, perform calculations, and find relationships between different data points. Key skills include:

• Understanding percentages and how to calculate values from them.
• Working with ratios to distribute a total quantity into parts.
• Calculating sums, averages, and percentages.
• Approximating values when required.

Always read the question carefully to understand exactly what is being asked, paying attention to units (like lakhs) and whether an exact or approximate answer is needed.