The following table shows the number of employees working in five different companies A-E in December, 2021 along with the percentage distribution of Science, Commerce and Arts Graduates among them. Based on the data in the table, answer the questions that follow. Company-wise Details of Employees Number of Employees Note: (1) Employees of all five companies can be categorised only in three types of Graduates: Science, Commerce and Arts. (2) Some values are missing in the table (indicated by ‘-’) that you are expected to calculate if required.Company Science (%) Commerce (%) Arts (%) A 2100 32% - - B 1400 - 31% 40% C - 30% 30% - D - - 40% 20% E - 35% 50% -
In company E, if the average number of employees who are Graduates in Arts and Commerce is 377, then the number of employees in company E is
1160
Here we must work backwards from an average to find the total workforce N of Company E. The streams again sum to 100%, so the missing percentage is obtained by subtraction, and an "average of two groups" is converted into a total by multiplying by 2.
For Company E the table gives Science = 35% and Commerce = 50%, so Arts = 100% − 35% − 50% = 15%. The problem states that the average number of Arts and Commerce graduates is 377. Since this is the mean of exactly two quantities, their sum is:
Arts + Commerce = 377 × 2 = 754 employees.
Expressed as a fraction of the whole workforce, Arts + Commerce = 15% + 50% = 65% of N. Therefore 65% of N = 754, which gives:
N = 754 ÷ 0.65 = 1160.
A quick check: 15% of 1160 = 174 (Arts) and 50% of 1160 = 580 (Commerce); their average is (174 + 580)/2 = 754/2 = 377, exactly as required.
The value 1120 comes from using a wrong Arts percentage (for example 13% or 17%) so that the combined share is not 65%. The values 1320 and 1360 typically result from treating 377 as the sum rather than the average, or from adding the wrong pair of streams, both of which distort the divisor.
Correct answer: 1160
Similar Questions
In company B, the difference between the number of employees who are Graduates in Arts and Graduates in Science is:
In company A, if the ratio between the number of employees who are graduates in Commerce and Arts is 10:7, then the number of employees who are graduates in Arts in the same Company is:
In Company B, if the number of employees increased by 20% from December 2021 to December 2022 and 20% of the total number of employees in December 2022 are Science Graduates, then the number of employees who are Science Graduates in December 2022, is:
If the number of employees in company D is 3 times the number of employees in Company C and the difference between the number of employees who are Arts Graduates in company D and that in company C is 480, then the number of employees in company C is
What is the ratio between total number distributed newspapers W and total number distributed newspapers Z?
What is the percentage of Newspaper Y distribution with total distribution?
What is the percentage of the newspapers which are not distributed to any city?
Which newspaper has highest distribution?
What is the average number of newspapers distributed in each city?
If L represents the total number of projects handled by company A in 2018 and 2019 together and M represents 20% of L as the number of GPs, then L-M = ____________.
Important Questions from Tabulation
What is the ratio of total number of patients recovered from covid-19 in April to total number of patients recovered from covid-19 in March?
In which state, the number of patients who recovered from covid-19 steadily decreasing?
What is the average number of patients who recovered from Covid-19 in Madhya Pradesh in four months?
Find the difference between the total number of patients recovered from Covid-19 in all months in Punjab and the total number of patients recovered from Covid-19 in all months in Rajasthan.
In February 2021 the number of patients recovered from Covid-19 in Punjab is how much approximant percent more/less than the number of patients recovered from Covid-19 Uttar Pradesh in the same month?
