Q89. Total professors in A is what percentage of total staff in B?

Question

Directions (86–90):

The data below is about the staff — lab assistants and professors — in three colleges A, B and C.

College A: total staff (lab assistants + professors) = 82.

College B: total lab assistants = 4 more than the lab assistants in C.

College C: total lab assistants = 6 less than the professors.

Total professors in A = 44 less than the lab assistants in B.

Total staff in C = 24 more than the total staff in A.

Total professors across all three colleges = 102.

Q89. Total professors in A is what percentage of total staff in B?

1. A. 9.09%
2. B. 11.11% (Correct answer)
3. C. 12.5%
4. D. 30%
5. E. 25%

Correct Answer

Option B — 11.11%

Detailed Solution & Explanation

The correct answer is 11.11%.

Key Points

• Solving the given conditions gives the staff of each college:

• Total professors in A = 10; total staff in B = 90.
• Required % = (10 / 90) × 100 = 11.11%.