Quantitative Aptitude Ques 598

Question: Directions: Study the following table carefully and answer the questions given. [SBI (SO) 2016]

University Total number of faculty members Percentage of associate professors Total number of female faculty members Number of female associate professors A 100 65 72 52 B 80 55 56 30 C 55 60 40 24 D 90 70 72 48 Note Faculty members consist of only professors and associate professors in the given universities. The total number of professors in universities A and C together is approximately what per cent less than the total number of associate professors in the same universities together?

Options:

A) 37%

B) 58%

C) 48%

D) 42%

E) 27%

Show Answer

Answer:

Correct Answer: B

Solution:

  • Number of professors in A and C $ =100+55=155 $ Number of associate professors $ =65+33=98 $

$ \therefore $ Required percentage $ =\frac{155-98}{98}\times 100 $ $ =\frac{57}{98}\times 100 $ $ =,58.16 $ % $ \approx $ 58%