Data Interpretation Ques 285
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?
61
(2) 64.5
(3) 62.5
65
72
Show Answer
Correct Answer: 3
Solution: 285.
(3) Total number of females in the population
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 percentage
$=\frac{125}{200} \times 100=62.5$