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Percentages

by teejaycrown » Fri Nov 02, 2012 9:57 pm
What fraction of this years graduating students at a certain college are males

1. of this year graduating students, 33% of the males and 20% of the females transferred from another college
2. Of this year graduatiing students, 25% transferred from another college.
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by Anurag@Gurome » Fri Nov 02, 2012 10:05 pm
teejaycrown wrote:What fraction of this years graduating students at a certain college are males

1. of this year graduating students, 33% of the males and 20% of the females transferred from another college
2. Of this year graduatiing students, 25% transferred from another college.
Let us assume that no. of males = M and no. of females = F
Then the question is to find the value of M/(M + F).

(1) Of this year graduating students, 33% of the males and 20% of the females transferred from another college implies 0.33M and 0.20F of of M males and F females are transferred from another college. But we cannot find M/(M + F) from this; NOT sufficient.

(2) Of this year graduating students, 25% transferred from another college implies 0.25(M + F) are transferred from other college. But again we cannot find M/(M + F) from this; NOT sufficient.

Combining (1) and (2), 0.33M + 0.20F = 0.25(M + F)
0.33M + 0.20F = 0.25M + 0.25F
0.08M = 0.05F
M/F = 5/8
So, M/(M + F) = 5/(5 + 8) = 5/13; SUFFICIENT.

The correct answer is C.
Anurag Mairal, Ph.D., MBA
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