Consider the following table that shows the percentage (%) distribution of workforce of India and ratio of male to female workforce of India in different employment sectors during a given year. Total workforce in all the sectors put together is 80 lakhs. Based on the data contained in the table, answer the question : Sector - wise Distribution of Workforce of IndiaEmployment Sector Workforce of India Percentage (%) Distribution Ratio of Male to Female (M : F) Service (SE) 15% 3 ∶ 2 Sales (SA) 12% 5 ∶ 3 Construction and Maintenance (M) 9% 5 ∶ 4 Professional (PR) 18% 5 ∶ 7 Management (MA) 21% 3 ∶ 4 Production and Transport (PT) 19% 5 ∶ 3 Others (OT) 6% 3 ∶ 5
What is the average number of male workforce in all the sectors put together? (rounded - off to two decimal places)
5.96 lakhs
Calculating Average Male Workforce Across Sectors
The question asks for the average number of male workforce across all the given sectors. We are provided with the total workforce, the percentage distribution of workforce in each sector, and the ratio of male to female workforce for each sector.
Total workforce in all sectors combined is 80 lakhs.
First, we need to find the total workforce in each sector based on the percentage distribution. Then, for each sector, we will use the male to female ratio to calculate the number of male workers. Finally, we will sum up the male workforce from all sectors and divide by the number of sectors to find the average.
Let's calculate the workforce for each sector:
| Employment Sector | Percentage Distribution (%) | Total Workforce (Lakhs) | Ratio M : F | Male Workforce Calculation | Male Workforce (Lakhs) |
|---|---|---|---|---|---|
| Service (SE) | 15% | $80 \times \frac{15}{100} = 12$ | 3 ∶ 2 (Total parts = 5) | $12 \times \frac{3}{5}$ | $7.2$ |
| Sales (SA) | 12% | $80 \times \frac{12}{100} = 9.6$ | 5 ∶ 3 (Total parts = 8) | $9.6 \times \frac{5}{8}$ | $6.0$ |
| Construction and Maintenance (M) | 9% | $80 \times \frac{9}{100} = 7.2$ | 5 ∶ 4 (Total parts = 9) | $7.2 \times \frac{5}{9}$ | $4.0$ |
| Professional (PR) | 18% | $80 \times \frac{18}{100} = 14.4$ | 5 ∶ 7 (Total parts = 12) | $14.4 \times \frac{5}{12}$ | $6.0$ |
| Management (MA) | 21% | $80 \times \frac{21}{100} = 16.8$ | 3 ∶ 4 (Total parts = 7) | $16.8 \times \frac{3}{7}$ | $7.2$ |
| Production and Transport (PT) | 19% | $80 \times \frac{19}{100} = 15.2$ | 5 ∶ 3 (Total parts = 8) | $15.2 \times \frac{5}{8}$ | $9.5$ |
| Others (OT) | 6% | $80 \times \frac{6}{100} = 4.8$ | 3 ∶ 5 (Total parts = 8) | $4.8 \times \frac{3}{8}$ | $1.8$ |
Now, let's sum the male workforce from all sectors:
Total Male Workforce = $7.2 + 6.0 + 4.0 + 6.0 + 7.2 + 9.5 + 1.8$ lakhs
Total Male Workforce = $41.7$ lakhs
There are 7 sectors listed in the table.
Average Male Workforce = $\frac{\text{Total Male Workforce}}{\text{Number of Sectors}}$
Average Male Workforce = $\frac{41.7}{7}$ lakhs
Average Male Workforce $\approx 5.95714$ lakhs
Rounding off to two decimal places, the average number of male workforce is 5.96 lakhs.
Thus, the average number of male workforce in all the sectors put together is approximately 5.96 lakhs.
Revision Table: Workforce Analysis
| Concept | Description | Calculation Step |
|---|---|---|
| Percentage Distribution | How the total workforce is split among different sectors. | Multiply total workforce by percentage/100 for each sector. |
| Ratio (M : F) | Proportion of male to female workers within a sector. | Sum ratio parts. Divide total workforce in sector by total parts. Multiply by male part of ratio. |
| Total Male Workforce | Sum of male workers from all individual sectors. | Add up calculated male workforce for each sector. |
| Average Workforce | Total quantity divided by the number of items. | Divide total male workforce by the number of sectors. |
Additional Information: Data Interpretation Tips
When interpreting data from tables involving percentages and ratios, keep the following points in mind:
- Always understand the base value for percentages (in this case, the total workforce of 80 lakhs).
- Ratios represent parts of a whole within a specific category (the workforce within that sector).
- Ensure all calculations are done consistently using the correct units (lakhs in this case).
- Rounding should be done only at the final step, as specified in the question, to maintain accuracy.
- Double-check calculations, especially when dealing with multiple steps.
Important Questions from Tabulation
The table shows District-wise data of a number of primary school teachers posted in schools of a city.
Study the table and answer the question:
District
Male teachers
Female teachers
East
1650
2375
North
1075
2651
West
1280
1520
South
1170
1085
Central
690
859
What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.
Source
Amit
Suresh
Nitin
Varun
Salary
35000
38500
29000
42000
Arrears
6000
6300
5000
7500
Bonus
1000
1100
1000
1240
Overtime
1800
1950
1400
1500
What is the ratio of salary of Varun to his income other than salary?Study the table and answer the question:
Income (Rs.)
No. of persons
Less than 200
12
Less than 250
26
Less than 300
34
Less than 350
40
Less than 400
50
What is the percentage of persons earning Rs. 250 or more?The following table shows the annual profit of a company (in Rs. lakh).
2014-2015
2015-2016
2016-0217
2017-2018
2018-2019
625
690
725
775
815
The period which has the maximum percentage increase in profit over the previous year is:
The table given below shows the number of persons participating in a survey from 6 different states.
States Persons S1 100 S2 200 S3 400 S4 500 S5 600 S6 800 What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?
