Correct Option (2)
The total number of Psychology professors is determined to be 10 (derived from the provided figures, which illustrate the distribution of professors, showing 4 and 6 professors, summing to 10). The question states that Psychology professors constitute 2% of all professors in the University. Therefore, if 10 professors represent 2% of the total faculty, the total number of professors can be calculated as follows:
- If 2% of Total Professors = 10
- Then 1% of Total Professors = 10 / 2 = 5
- Consequently, 100% of Total Professors = 5 × 100 = 500
Thus, the total number of professors in the University is 500.
Incorrect Options:
Options 1 (400), 3 (600), and 4 (700) are incorrect. These values do not align with the calculated total number of professors (500) when considering that 10 Psychology professors constitute 2% of the university's total faculty, as derived from the problem statement and figures.