What is the total number of female postgraduate (PG) employees in the…
2024
What is the total number of female postgraduate (PG) employees in the Production, Finance, and R & D departments together?
Answer: B. 800 — ConceptWhen a total group and one disjoint subgroup are known, the other subgroup equals the total group minus the known subgroup. Here, total PG employees =…
- A.
750
- B.
800
- C.
900
- D.
600
Attempted by 7 students.
Show answer & explanation
Correct answer: B
Concept
When a total group and one disjoint subgroup are known, the other subgroup equals the total group minus the known subgroup.
Here, total PG employees = total employees × PG percentage, and female PG employees = total PG employees − male PG employees.
Application
Production: total PG employees = 3000 × 40/100 = 1200; female PG employees = 1200 − 750 = 450.
Finance: total PG employees = 600 × 80/100 = 480; female PG employees = 480 − 250 = 230.
R & D: total PG employees = 400 × 90/100 = 360; female PG employees = 360 − 240 = 120.
Combined female PG employees = 450 + 230 + 120 = 800.
Cross-check
The combined total PG count is 1200 + 480 + 360 = 2040, and the combined male PG count is 750 + 250 + 240 = 1240. Their difference is 2040 − 1240 = 800, confirming the result.