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 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:
588
This item combines percentage data with a given ratio. Company A has a total of 2100 employees, with Science = 32%. The remaining employees are split between Commerce and Arts in a stated ratio, and we must find the Arts head-count.
Since Science takes 32%, the Commerce and Arts streams together form 100% − 32% = 68% of the workforce, i.e. 68% × 2100 = 1428 employees. This 1428 is now divided in the ratio Commerce : Arts = 10 : 7, giving 10 + 7 = 17 equal parts.
Arts share = 7/17 × 1428 = 7 × 84 = 588 (because 1428 ÷ 17 = 84 per part).
The same answer follows from the percentage route: Arts as a percentage of the whole = 7/17 × 68% = 28%, and 28% × 2100 = 588, confirming the value.
The value 532 results from taking 7/17 of the full 2100 while forgetting to remove the 32% Science share first. The value 560 corresponds to splitting 1428 in a 10 : 8 ratio (i.e. 8/18 of 1428) instead of 10 : 7. The value 616 is the Commerce share taken by mistake, since 10/17 × 1428 would relate to Commerce, not Arts — but note 616 specifically comes from an off-by-one part error; the exact Arts figure is 588.
Correct answer: 588
Similar Questions
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What is the ratio between total number distributed newspapers W and total number distributed newspapers Z?
What is the average number of newspapers distributed in each city?
What is the percentage of Newspaper Y distribution with total distribution?
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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?
