The missing values in the table can be filled based on the data provided in…
2018
The missing values in the table can be filled based on the data provided in the table and questions.
Data related to number of employees in different companies and their qualification as graduate in different streams.
Companies | Total Employees | Science | Commerce | Arts |
|---|---|---|---|---|
A | - | - | 30% | 30% |
B | - | 40% | 35% | - |
C | 450 | 21% | 44% | - |
D | 650 | 48% | - | - |
E | - | - | 20% | 50% |
In company D, the ratio of Arts and Commerce graduates is 4 : 9. What is the number of commerce graduates in company D?
- A.
234
- B.
216
- C.
224
- D.
232
Show answer & explanation
Correct answer: A
Concept: In a table where each stream is a percentage of a company's total, the stream counts must add up to the total. So once you know the total and the percentages that are given, the leftover headcount is split among the unknown streams in the ratio that is provided.
Application:
Company D has a total of 650 employees, with Science listed as 48%.
Science count = 48% of 650 = 0.48 × 650 = 312 employees.
The rest of the employees are Arts and Commerce graduates: 650 − 312 = 338 employees.
These 338 are split between Arts and Commerce in the ratio 4 : 9, i.e. 4 + 9 = 13 equal parts.
One part = 338 ÷ 13 = 26 employees.
Commerce graduates = 9 parts = 9 × 26 = 234 employees.
Cross-check: Arts = 4 parts = 4 × 26 = 104. Then Arts + Commerce = 104 + 234 = 338, and adding Science 312 gives 104 + 234 + 312 = 650, the full total — so the split is consistent.