The following table shows the percentage distribution of people in a city working in the night shift, and the percentage distribution of females among them in six different industries, namely, IT, Sports, Call centre, Sales, Banking and Chemicals, respectively. Total number of people in a city working in night shift is 80500. Based on the data in the table, answer the questions Industry-wise Percentage of People working in Night shiftIndustry Distribution (%) of people working in the Night Shift (out of 80500) Distribution (%) of females among the people working in the Night Shift IT 12% 20% Sports 18% 20% Call centre 32% 45% Sales 8% 60% Banking 14% 40% Chemicals 16% 15%
What is the difference between the total number of males and the total number of females working in the night shift from all the industries together?
27048
Understanding Night Shift Workforce Distribution
The question asks us to find the difference between the total number of males and the total number of females working the night shift across six different industries: IT, Sports, Call centre, Sales, Banking, and Chemicals. We are given the total number of people working the night shift and their percentage distribution across these industries, as well as the percentage of females within each industry's night shift workforce.
Data Analysis and Calculations
The total number of people working in the night shift is 80500. The table provides the percentage of this total in each industry and the percentage of females within that industry's night shift workforce. To find the difference between the total number of males and females, we first need to calculate the number of people, females, and subsequently, males in the night shift for each industry.
Here is how we can calculate the number of people in the night shift for each industry:
\(\text{Number of People in Industry Night Shift} = \text{Total People in Night Shift} \times \frac{\text{Industry Percentage}}{100}\)
Then, we calculate the number of females in the night shift for each industry:
\(\text{Number of Females in Industry Night Shift} = \text{Number of People in Industry Night Shift} \times \frac{\text{Female Percentage in Industry}}{100}\)
The number of males in the night shift for each industry is the difference between the total people in that industry's night shift and the number of females:
\(\text{Number of Males in Industry Night Shift} = \text{Number of People in Industry Night Shift} - \text{Number of Females in Industry Night Shift}\)
Let's perform these calculations for each industry:
| Industry | Distribution (%) of people working in the Night Shift | Number of People in Night Shift | Distribution (%) of females among people working in the Night Shift | Number of Females in Night Shift | Number of Males in Night Shift |
|---|---|---|---|---|---|
| IT | 12% | \(80500 \times 0.12 = 9660\) | 20% | \(9660 \times 0.20 = 1932\) | \(9660 - 1932 = 7728\) |
| Sports | 18% | \(80500 \times 0.18 = 14490\) | 20% | \(14490 \times 0.20 = 2898\) | \(14490 - 2898 = 11592\) |
| Call centre | 32% | \(80500 \times 0.32 = 25760\) | 45% | \(25760 \times 0.45 = 11592\) | \(25760 - 11592 = 14168\) |
| Sales | 8% | \(80500 \times 0.08 = 6440\) | 60% | \(6440 \times 0.60 = 3864\) | \(6440 - 3864 = 2576\) |
| Banking | 14% | \(80500 \times 0.14 = 11270\) | 40% | \(11270 \times 0.40 = 4508\) | \(11270 - 4508 = 6762\) |
| Chemicals | 16% | \(80500 \times 0.16 = 12880\) | 15% | \(12880 \times 0.15 = 1932\) | \(12880 - 1932 = 10948\) |
Calculating Total Males and Females
Next, we sum the number of females from all industries to get the total number of females working in the night shift:
Total Females = \(1932 + 2898 + 11592 + 3864 + 4508 + 1932 = 26726\)
Similarly, we sum the number of males from all industries to get the total number of males working in the night shift:
Total Males = \(7728 + 11592 + 14168 + 2576 + 6762 + 10948 = 53774\)
We can verify these totals by summing them up:
\(\text{Total Males} + \text{Total Females} = 53774 + 26726 = 80500\)
This matches the total number of people working in the night shift, confirming our calculations for individual industries are correct.
Finding the Difference
The question asks for the difference between the total number of males and the total number of females. This is calculated as:
\(\text{Difference} = \text{Total Males} - \text{Total Females}\)
\(\text{Difference} = 53774 - 26726 = 27048\)
The difference between the total number of males and the total number of females working in the night shift from all the industries together is 27048.
Revision Table: Key Calculations Summary
| Item | Calculation | Result |
|---|---|---|
| Total People in Night Shift | Given | 80500 |
| Total Females (All Industries) | Sum of Females per Industry | 26726 |
| Total Males (All Industries) | Sum of Males per Industry | 53774 |
| Difference (Males - Females) | \(53774 - 26726\) | 27048 |
Additional Information: Workforce Data Interpretation
Understanding how to interpret percentage distribution data is crucial in workforce analysis. In this problem, we used two levels of percentage distribution:
- The first level distributes the total workforce across different categories (industries).
- The second level distributes a subset (females) within each of those categories.
Calculating the actual numbers from percentages requires multiplying the percentage (as a decimal) by the total or subtotal relevant to that percentage. This method allows us to break down a large dataset into meaningful components, such as the number of males and females in specific sectors.
Such data analysis is vital for understanding workforce demographics, planning, and policy making in various sectors.
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?
