The number of employees in the HR department is ______% less than the number…
2024
The number of employees in the HR department is ______% less than the number of employees in the Production department.
Answer: D. 62.5 — ConceptWhen one quantity is compared as a percentage less than another, the second quantity is the reference base. Percentage less = (difference ÷ reference…
- A.
64.5
- B.
61.5
- C.
63.5
- D.
62.5
Show answer & explanation
Correct answer: D
Concept
When one quantity is compared as a percentage less than another, the second quantity is the reference base.
Percentage less = (difference ÷ reference quantity) × 100.
Application
Let the total number of employees be T. Then HR employees = 0.12T and Production employees = 0.32T.
Difference = 0.32T − 0.12T = 0.20T.
Taking Production as the reference, percentage less = (0.20T ÷ 0.32T) × 100 = 62.5%.
Cross-check
If the Production count is treated as 100, the HR count is (12 ÷ 32) × 100 = 37.5. Thus HR is 100 − 37.5 = 62.5% less.
Therefore, the required percentage is 62.5%.