Distribution of Employees in National Insurance Company by age groups:(for questions 76-78)
Age Group Per cent
46 and over 25
40-45 34.5
35-39 25.62
30-34 12.9
Under 30 1.9
76. Thirty thousand employees of this company are 46 years or over.How many
thousand(to the nearest 0.1 thousand)are in the youngest group?
77. Out of every ten thousand workers how many are between 35 and 39 years of age?
78. How many more workers per thousand of all the employees are there in the 35-39 age group than in the 30-34 age group?
Age Group (Per cent)
46 and over (25)
40-45 (34.5)
35-39 (25.62)
30-34 (12.9)
Under 30 (1.9)
To answer these questions, we need to calculate the actual number of employees in each age group.
Let's start by calculating the total number of employees in the company. We can do this by summing up the percentage values and converting them to absolute values based on the total number of employees. Let's assume the total number of employees in the company is 100,000:
Total Percentage = 25 + 34.5 + 25.62 + 12.9 + 1.9 = 100.02%
To calculate the actual number of employees in each age group, we can multiply the percentage by the total number of employees:
For the 46 and over age group:
Number of employees = (25/100.02) * 100,000 = 24,997.001 employees (approximately 25,000 employees)
For the 40-45 age group:
Number of employees = (34.5/100.02) * 100,000 = 34,498.700 employees (approximately 34,500 employees)
For the 35-39 age group:
Number of employees = (25.62/100.02) * 100,000 = 25,617.878 employees (approximately 25,618 employees)
For the 30-34 age group:
Number of employees = (12.9/100.02) * 100,000 = 12,899.614 employees (approximately 12,900 employees)
For the Under 30 age group:
Number of employees = (1.9/100.02) * 100,000 = 1,899.189 employees (approximately 1,899 employees)
Now, we can answer each question:
76. Thirty thousand employees of this company are 46 years or older. How many thousands (to the nearest 0.1 thousand) are in the youngest group?
The youngest group is the "Under 30" age group, which has approximately 1,899 employees. So the answer is 1.9 thousand employees.
77. Out of every ten thousand workers, how many are between 35 and 39 years of age?
To answer this question, we need to calculate the number of employees in the 35-39 age group per ten thousand workers.
Number of employees in the 35-39 age group = (25.62 / 100) * 10,000 = 2,562 employees.
So, there are approximately 2,562 employees between 35 and 39 years of age out of every ten thousand workers.
78. How many more workers per thousand of all the employees are there in the 35-39 age group than in the 30-34 age group?
To answer this question, we need to calculate the difference in the number of employees between the 35-39 age group and the 30-34 age group per thousand workers.
Number of workers in the 35-39 age group = (25.62 / 100) * 1,000 = 256.2 employees per thousand workers.
Number of workers in the 30-34 age group = (12.9 / 100) * 1,000 = 129 employees per thousand workers.
Thus, there are approximately 256.2 - 129 = 127.2 more workers per thousand employees in the 35-39 age group than in the 30-34 age group.