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.
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
Answer: D. 2400 — ConceptWhen a table gives category percentages, convert each percentage to a count by multiplying it by the relevant total. If one company total is expressed…
- A.
2880
- B.
2640
- C.
1800
- D.
2400
Show answer & explanation
Correct answer: D
Concept
When a table gives category percentages, convert each percentage to a count by multiplying it by the relevant total.
If one company total is expressed in terms of another, use one variable for both totals before forming the stated difference.
Application
Let x be the number of employees in Company C.
In Company C, Science and Commerce account for 30% + 30% = 60%, so Arts accounts for 40%. Hence the number of Arts graduates in C is 0.40x.
Company D has 3x employees. Since 20% of them are Arts graduates, the number of Arts graduates in D is 0.20 × 3x = 0.60x.
The stated difference is therefore 0.60x − 0.40x = 0.20x.
Set 0.20x = 480. Dividing by 0.20 gives x = 2400.
Cross-check
For x = 2400, Company C has 960 Arts graduates. Company D has 7200 employees and 1440 Arts graduates; 1440 − 960 = 480, and 7200 is three times 2400.
Result
Therefore, the number of employees in Company C is 2400.