In university J, 72% faculty members are females. If three-fifth of the total Assistant Professors are females, what percent females are either Associate Professors or Professors?

Solution

In university J,

Number of faculty members = 250

Number of females = $$\frac{72}{100} \times 250 = 180$$

Total assistant professors = $$\frac{60}{100} \times 250 = 150$$

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

=> Total female professors who are associate professor or professor = $$180 - 90 = 90$$

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

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