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
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
In company B, the difference between the number of employees who are Graduates in Arts and Graduates in Science 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?
