At a certain university?

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At a certain university?

by hmboy17 » Thu Jan 21, 2010 7:46 pm
At a certain university, 60% of the professors are women, and 70% of the professors are tenured. If 90% of the professors are women, tenured or both, then what percent of the men are tenured?

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by ace_gre » Thu Jan 21, 2010 8:11 pm
Hi, Here is my approach..

Let Women be denoted = W =60
Let tenured be denoted = T = 70
We are also given that W U T = 90

W U T = W + T - W N T
W N T = 60 + 70 - 90
W N T = 40==> Tenured women prof.

Tenured men prof = 70 - 40 = 30.

Percent of men that are tenured = 30/40 * 100 = 75% of men are tenured.

Please post OA. Thanks!

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by itsratul » Thu Jan 21, 2010 8:53 pm
The ans is 75%.