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%
The number of females working in the night shift from the sports industry is ___________ % of the total number of people working in the night shift from all the industries together?
3.6
Understanding the Data and the Question
The question asks us to find the percentage of females working in the night shift in the Sports industry relative to the total number of people working in the night shift across all industries combined. We are given the total number of people in the city working in the night shift (80500) and a table showing the distribution of these people across different industries, as well as the distribution of females within the night shift workers of each industry.
Let's break down the information provided in the table:
| Industry | 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% |
The total number of people working in the night shift is 80500.
Step-by-Step Calculation
To find the percentage of females in the Sports industry night shift relative to the total night shift workers, we need to follow these steps:
- Find the number of people working in the night shift in the Sports industry.
- Find the number of females working in the night shift in the Sports industry.
- Calculate the percentage of females in the Sports industry night shift out of the total number of people working in the night shift.
Step 1: Find the number of people in Sports night shift
According to the table, 18% of the total people working in the night shift are in the Sports industry. The total number of people in the night shift is 80500.
Number of people in Sports night shift = 18% of 80500
\[ \text{Number of people in Sports night shift} = \frac{18}{100} \times 80500 \] \[ \text{Number of people in Sports night shift} = 0.18 \times 80500 \]Calculating this gives: \(0.18 \times 80500 = 14490\) people.
Step 2: Find the number of females in Sports night shift
The table states that 20% of the people working in the night shift in the Sports industry are females. From Step 1, we know there are 14490 people working the night shift in the Sports industry.
Number of females in Sports night shift = 20% of (Number of people in Sports night shift)
\[ \text{Number of females in Sports night shift} = \frac{20}{100} \times 14490 \] \[ \text{Number of females in Sports night shift} = 0.20 \times 14490 \]Calculating this gives: \(0.20 \times 14490 = 2898\) females.
Step 3: Calculate the percentage of females in Sports night shift out of total night shift workers
We need to find what percentage the number of females in the Sports night shift (2898) is of the total number of people working in the night shift (80500).
Percentage = \( \frac{\text{Number of females in Sports night shift}}{\text{Total number of people in night shift}} \times 100 \)
\[ \text{Percentage} = \frac{2898}{80500} \times 100 \]Let's perform the calculation:
\[ \frac{2898}{80500} \times 100 = 0.036 \times 100 = 3.6 \]So, the number of females working in the night shift from the sports industry is 3.6% of the total number of people working in the night shift from all the industries together.
Alternatively, we could calculate this more directly by multiplying the percentages:
The percentage of people in Sports night shift out of total is 18%. The percentage of females within the Sports night shift is 20%. To find the percentage of females in Sports night shift out of the total night shift, we multiply these percentages (converted to decimals):
\[ \text{Percentage} = (\text{% of people in Sports}) \times (\text{% of females in Sports night shift}) \times 100 \] \[ \text{Percentage} = (18\% \text{ of } 20\%) \times 100 \] \[ \text{Percentage} = \left(\frac{18}{100} \times \frac{20}{100}\right) \times 100 \] \[ \text{Percentage} = (0.18 \times 0.20) \times 100 \] \[ \text{Percentage} = 0.036 \times 100 \] \[ \text{Percentage} = 3.6 \]This confirms the result obtained through the step-by-step calculation involving the actual numbers.
Conclusion
The number of females working in the night shift from the sports industry is 3.6% of the total number of people working in the night shift from all the industries together.
Revision Table: Night Shift Data Analysis
| Item | Calculation | Result |
|---|---|---|
| Total people in Night Shift | Given | 80500 |
| Percentage of people in Sports Night Shift | From table | 18% |
| Number of people in Sports Night Shift | 18% of 80500 | 14490 |
| Percentage of females in Sports Night Shift (within Sports) | From table | 20% |
| Number of females in Sports Night Shift | 20% of 14490 | 2898 |
| Percentage of females in Sports Night Shift (out of total) | (2898 / 80500) * 100 | 3.6% |
Additional Information: Working with Percentages in Data Interpretation
When dealing with data interpretation questions involving percentages from tables, it's crucial to understand what base each percentage is calculated from. In this problem, we had two types of percentages:
- The first column's percentage distribution is based on the total number of people in the night shift (80500). For example, 18% in Sports means 18% of 80500.
- The second column's percentage distribution of females is based on the number of people in that specific industry's night shift. For example, 20% females in Sports means 20% of the people who work night shifts *in the Sports industry*.
To find a sub-group's percentage relative to the overall total, you often multiply the relevant percentages (as decimals) from different levels of distribution. In this case, it was (% of total in Sports) * (% of females within Sports).
Always read the table headers and question carefully to determine the base population for each percentage.
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?
