Using the table, the average number of PG employees in the Production,…
2024
Using the table, the average number of PG employees in the Production, Marketing, and HR departments is approximately what percent more than the total number of employees in the Finance department?
Answer: D. 46.67 — ConceptWhen a group total and its percentage are known, the count in that group is total × percentage ÷ 100. The average of n values is their sum divided by…
- A.
33.33
- B.
66.67
- C.
23.33
- D.
46.67
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Show answer & explanation
Correct answer: D
Concept
When a group total and its percentage are known, the count in that group is total × percentage ÷ 100. The average of n values is their sum divided by n. The percent by which A is more than a reference B is (A − B) ÷ B × 100.
Application
Production PG employees = 3000 × 40 ÷ 100 = 1200.
Marketing PG employees = 2000 × 60 ÷ 100 = 1200.
HR PG employees = 300 × 80 ÷ 100 = 240.
Average PG employees = (1200 + 1200 + 240) ÷ 3 = 2640 ÷ 3 = 880.
The Finance department has 600 employees, so the percent more is (880 − 600) ÷ 600 × 100 = 46.666…%, which is approximately 46.67%.
Cross-check
Increasing 600 by 46.67% gives 600 × (1 + 46.67 ÷ 100) ≈ 880.02, which rounds to the computed average of 880.
Result
Therefore, the required approximate percentage is 46.67%.