The number of graduate male employees from city D is approximately ______ % of…
2024
The number of graduate male employees from city D is approximately ______ % of the number of graduate male employees from city B.
Answer: B. 24.88 — Concept: To compare one quantity with another as a percentage, divide the first quantity by the second and multiply by 100. When a table gives percentage…
- A.
23.2
- B.
24.88
- C.
27.28
- D.
32.52
Show answer & explanation
Correct answer: B
Concept: To compare one quantity with another as a percentage, divide the first quantity by the second and multiply by 100.
When a table gives percentage distributions, first convert each required percentage into an actual count, then apply the percentage-comparison formula.
Application:
Across all cities, male employees = 80,000 × 9/16 = 45,000 and female employees = 80,000 × 7/16 = 35,000.
For city D, total employees = 6% of 80,000 = 4,800; female employees = 10% of 35,000 = 3,500; therefore male employees = 4,800 − 3,500 = 1,300.
Graduate male employees in city D = 36% of 1,300 = 468.
For city B, total employees = 15% of 80,000 = 12,000; female employees = 18% of 35,000 = 6,300; therefore male employees = 12,000 − 6,300 = 5,700.
Graduate male employees in city B = 33% of 5,700 = 1,881.
Required percentage = (468 ÷ 1,881) × 100 ≈ 24.88%. Hence the approximate value is 24.88%.
Cross-check: 25% of 1,881 is 470.25, which is very close to 468, so a value just below 25%, namely 24.88%, is reasonable.