Question

Based on the information given below, answer the questions that follow.

Percentage of professors and Assistant Professors together teaching six different subjects in University ‘X’

Total number = 150

Percentage of Professors teaching six different subjects in University ‘X’

Total number = 50

What percent of Professors are teaching Psychology and Sociology together out of the total number of Professors and Assistant Professors teaching these two subjects together?

• A.
• B.
• C.
• D.
• E.

Answer 1

The correct option is A

Number of professors and assistant professors of Psychology and Sociology
= (18+14) $\%$ of 150
$=\frac{150\times 32}{100}=48$
Number of profesors of these subjects
$=\frac{50\times 28}{100}=14$
$\therefore$ Required percent $=\frac{14}{48}\times 100=\frac{175}{6}=29\frac{1}{6}$ $\%$