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 ratio of the number of males to the number of females working in the night shift from the Call Centre industry?
11 : 9
Let's analyze the given data to determine the ratio of males to females working the night shift specifically within the Call Centre industry.
The total number of people working in the night shift across all industries is given as 80500.
| 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% |
Understanding Call Centre Night Shift Numbers
First, we need to find the total number of people working in the night shift in the Call Centre industry. According to the table, 32% of the total night shift workforce is in the Call Centre.
Total people in Call Centre night shift = \( 32\% \text{ of } 80500 \)
Calculation:
\[ \text{People in Call Centre} = \frac{32}{100} \times 80500 \] \[ \text{People in Call Centre} = 0.32 \times 80500 \] \[ \text{People in Call Centre} = 25760 \]So, 25760 people work the night shift in the Call Centre industry.
Calculating Male and Female Workforce in Call Centre
Next, we find the number of females among the 25760 people working the night shift in the Call Centre. The table states that 45% of the people working in the night shift in Call Centre are females.
Number of females in Call Centre night shift = \( 45\% \text{ of } 25760 \)
Calculation:
\[ \text{Females in Call Centre} = \frac{45}{100} \times 25760 \] \[ \text{Females in Call Centre} = 0.45 \times 25760 \] \[ \text{Females in Call Centre} = 11592 \]Thus, there are 11592 females working the night shift in the Call Centre industry.
To find the number of males, we subtract the number of females from the total number of people working the night shift in the Call Centre industry.
Number of males in Call Centre night shift = Total people in Call Centre night shift - Number of females in Call Centre night shift
Calculation:
\[ \text{Males in Call Centre} = 25760 - 11592 \] \[ \text{Males in Call Centre} = 14168 \]So, there are 14168 males working the night shift in the Call Centre industry.
Determining the Male to Female Ratio
We are asked for the ratio of the number of males to the number of females working in the night shift from the Call Centre industry.
Ratio = Number of Males : Number of Females
Ratio = \( 14168 : 11592 \)
Simplifying the Ratio for Call Centre Night Shift
To simplify the ratio \( 14168 : 11592 \), we need to find the greatest common divisor (GCD) or divide both numbers by common factors until they are in their simplest form.
Let's simplify step-by-step:
Divide both numbers by 8:
\[ 14168 \div 8 = 1771 \] \[ 11592 \div 8 = 1449 \]The ratio becomes \( 1771 : 1449 \).
Now, let's find common factors for 1771 and 1449. We can test small prime numbers. 1449 is divisible by 3 (\(1+4+4+9 = 18\), which is divisible by 3), \(1449 \div 3 = 483\). 1771 is not divisible by 3 (\(1+7+7+1 = 16\), not divisible by 3). Let's try dividing by 7: \( 1771 \div 7 = 253 \) \( 1449 \div 7 = 207 \) The ratio becomes \( 253 : 207 \).
Let's try dividing by common factors of 253 and 207. 253 and 207 are both divisible by 23. \( 253 \div 23 = 11 \) \( 207 \div 23 = 9 \) The ratio becomes \( 11 : 9 \).
Since 11 and 9 have no common factors other than 1, the ratio is in its simplest form.
The ratio of the number of males to the number of females working in the night shift from the Call Centre industry is \( 11 : 9 \).
Revision Table: Key Calculations for Call Centre
| Description | Value |
|---|---|
| Total Night Shift People | 80500 |
| Percentage of People in Call Centre Night Shift | 32% |
| Total People in Call Centre Night Shift | 25760 |
| Percentage of Females in Call Centre Night Shift | 45% |
| Number of Females in Call Centre Night Shift | 11592 |
| Number of Males in Call Centre Night Shift | 14168 |
| Ratio of Males to Females | 14168 : 11592 or 11 : 9 |
Additional Information: Data Interpretation Tips
- When working with percentages of a total, multiply the total number by the percentage expressed as a decimal or fraction (\( \text{Percentage}/100 \)).
- To find a part of a part (like females within the Call Centre night shift workforce), calculate the size of the initial part (Call Centre workforce) first, and then apply the second percentage to that calculated number.
- Ratios represent the relationship between two quantities. They can be simplified by dividing both parts by their greatest common divisor (GCD).
- Always ensure the ratio is presented in the order requested (e.g., Males : Females).
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?
