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Of the 720 students at a certain university, 25 percent are

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Of the 720 students at a certain university, 25 percent are  [#permalink]

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New post Updated on: 21 Jul 2013, 00:48
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Question Stats:

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Of the 720 students at a certain university, 25 percent are seniors. If x seniors were to graduate early and leave the university and no additional students entered or left the university, what value of x would reduce the number of seniors at the university to 20 percent?

(A) 30
(B) 36
(C) 42
(D) 45
(E) 48

Originally posted by jobeto12 on 20 Jul 2013, 18:35.
Last edited by Bunuel on 21 Jul 2013, 00:48, edited 1 time in total.
Edited the question.
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Re: Of the 720 students at a certain university, 25 percent are  [#permalink]

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New post 20 Jul 2013, 22:05
4
jobeto12 wrote:
Of the 720 students at a certain university, 25 percent are
seniors. If x seniors were to graduate early and leave the
university and no additional students entered or left the
university, what value of x would reduce the number of seniors
at the university to 20 percent?


A) 30
(B) 36
(C) 42
(D) 45
(E) 48


No of seniors = \(720*\frac{1}{4}\) = 180. Given that \(\frac{180-x}{720-x} = \frac{1}{5}\)

Thus, \(900-5x = 720 -x \to 180 = 4x \to x = 45\).

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Re: Of the 720 students at a certain university, 25 percent are  [#permalink]

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New post 23 Sep 2014, 11:41
jobeto12 wrote:
Of the 720 students at a certain university, 25 percent are seniors. If x seniors were to graduate early and leave the university and no additional students entered or left the university, what value of x would reduce the number of seniors at the university to 20 percent?

(A) 30
(B) 36
(C) 42
(D) 45
(E) 48



Sol:

180-x= 20% of (720-x)

4x=180
x=45
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Re: Of the 720 students at a certain university, 25 percent are  [#permalink]

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New post 01 Dec 2016, 18:47
(180-x)/(720-x) = 1/5
5(180-x) = (720-x)
900-5x = 720-x
180 = 4x
x = 45

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Of the 720 students at a certain university, 25 percent are  [#permalink]

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New post 02 Dec 2016, 13:29
Hi Bunuel,

Question says "what value of x would reduce the number of seniors at the university to 20 percent?"

I could not understand why everyone is considering 20% of the total student if the question says that x would reduce the number of seniors to 20%, Probably I misinterpret the question and that's why got answer 36. Please help !

If the question would be --what value of x would reduce the number of seniors at the university by 20 percent? Will this make any difference in the solution?
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Re: Of the 720 students at a certain university, 25 percent are  [#permalink]

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New post 24 Dec 2018, 21:29
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Of the 720 students at a certain university, 25 percent are &nbs [#permalink] 24 Dec 2018, 21:29
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