Question

Choose the option that best answers the question. Paracelsus University has two kinds of professors: academic professors and professional professors. At Paracelsus University, 60% of the professors are academic professors, and 70% of the professors are tenured. If 90% of the professors at Paracelsus University are academic professors or tenured or both, then what percent of the professional professors there are tenured?

A. 25
B. 37.5
C. 50
D. 62.5
E. 75

Answer 1

percentage of professional professor are 75

Explanation:

Given data

academic professors A = 60%

professors tenured P = 70%

professors at Paracelsus University = 90%

to find out

what percent of the professional professors

solution

we know 90% of the professors are academic professors or tenured or both so we can say percent of academic professors = 60 + 70 - 90 = 40

because here

total = A + P - both

90 = 60 + 70 - both

both = 40

so professors tenured will be here 70 - 40 = 30

so

percentage of professional professor are = 30 / 40 × 100

percentage of professional professor are 75