Data Interpretation Ques 285

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 $K, 80 \%$ faculty members are females. If threefourth of the total Assistant Professors are females, what per cent of females are either Associate Professors or Professors?

(1) 61

(2) 64.5

(3) 62.5

(4) 65

(5) 72

Show Answer

Correct Answer: (3)

Solution: (3)

Total number of females in university $K=\frac{250 \times 80}{100}=200$

Number of assistant professors $=\frac{250 \times 40}{100}=100$

Female assistant professors $=\frac{100 \times 3}{4}=75$

Female professors and associate professors $=200-75=125$

$\therefore$ Required per cent $=\frac{125}{200} \times 100=62.5$

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