Data Interpretation Ques 283

Question-

Directions : Based on the following table answer the given questions.

Universities Total Number
of faculty
members		 Percentage of
Assistant
professors		 Number of
Associate
professors
$J$ 250 60 75
$K$ 180 75 24
$L$ 150 80 16
$M$ 100 63 21
Note : The faculty members include Assistant Professors, Associate Professors and Professors only.

In university $J, 72 \%$ faculty members are females. If threefifth of the total Assistant Professors are females, what percent females are either Associate Professors or Professors?

(1) 60

(2) 55

(3) 50

(4) 65

(5) 45

Show Answer

Correct Answer: (3)

Solution: (3)

Female faculty members in university $J$ $\Rightarrow \frac{250 \times 72}{100}=180$

Female assistant professors $=150 \times \frac{3}{5}=90$

Female associate professors and professors $=180-90=90$

Required per cent $=\frac{90}{180} \times 100=50 \%$

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