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
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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
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?
