The following table shows the number of employees working in five different…
2023
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
Company | Number of Employees | Science | Commerce | Arts |
|---|---|---|---|---|
A | 2100 | 32% | - | - |
B | 1400 | - | 31% | 40% |
C | - | 30% | 30% | - |
D | - | - | 40% | 20% |
E | - | 35% | 50% | - |
Note: (1) Employees of all the five companies can be categorised only in three types of Graduates, namely, Science, Commerce and Arts.
(2) Some values are missing in the table (indicated by '-') that you are expected to calculate if required.
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
Answer: B. 588 — ConceptWhen a total is split among categories and one category is already known, subtract the known category first. To divide the remainder in the ratio a:b,…
- A.
532
- B.
588
- C.
560
- D.
616
Show answer & explanation
Correct answer: B
Concept
When a total is split among categories and one category is already known, subtract the known category first. To divide the remainder in the ratio a:b, use a+b equal parts and multiply one part by the required category’s ratio number.
Application
Science graduates in Company A = 32% of 2100 = 672.
Commerce graduates + Arts graduates = 2100 − 672 = 1428.
The ratio 10:7 has 10 + 7 = 17 equal parts, so one part = 1428 ÷ 17 = 84.
Arts graduates = 7 × 84 = 588; Commerce graduates = 10 × 84 = 840.
Cross-check
672 + 840 + 588 = 2100, and 840:588 simplifies to 10:7. Both the total and the given ratio are satisfied.
Therefore, the number of Arts graduates in Company A is 588.