What fraction of this year's graduating students at a : DS Archive
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# Chicago-Booth

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# What fraction of this year's graduating students at a

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Manager
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07 May 2006, 17:14
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What fraction of this year's graduating students at a certain college are males?
(1) Of this years graduating students, 33 percent of the males and 20 percent of the females transfered from another college
(2)Of this years graduating students, 25 percent transfered from another college
VP
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07 May 2006, 18:57

33/100*m + 20/100*f = 25/100(m+f).

U solve and get the relation of m and f...!
Manager
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07 May 2006, 19:11
sm176811 wrote:

33/100*m + 20/100*f = 25/100(m+f).

U solve and get the relation of m and f...!

Would you please explain this a little furthere?

I should goto sleep....
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07 May 2006, 19:19
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Okay,
here it goes

From 1 we get:
33/100*m + 20/100*F = Transfered from other college

So what? We do not get anything more from this!

From 2 we get:
ie total transfered = 25/100*(Total males and females)
But still by itself its useless!

But now equate the two:

we get -

33/100*m + 20/100*f = 25/100*(m+f)

Solve to get all m on the left hand side and all f on the right hand side u will get the ratio of male to females in the school!

9m = 5f

or m/f = 5/9

or m/total = 5/14!

So the percentage of male = 5/14*100!

Hence, C!
Manager
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07 May 2006, 19:31
awsome! thanks for the explanation.
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07 May 2006, 20:42
# of students = s
# of male students = m
# of female students = s-m

St1:
0.33m --> transferred from another college
0.2(s-m) --> transferred from another college.

Insufficient as we do not know any real figures.

St2:
0.25s --> transferred from another college. Insufficient as we have no numbers to do any further computation.

Using St1 and St2:
we can equate
0.33m + 0.2(s-m) = 0.25s
0.33m + 0.2s - 0.2m = 0.25s
0.13m = 0.05s
m = 5s/13 <-- fraction of male students

Sufficient.

Ans C
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