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# In a school, 40 percent of the students study Science and 60 percent

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Math Expert
Joined: 02 Sep 2009
Posts: 56268
In a school, 40 percent of the students study Science and 60 percent  [#permalink]

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24 Sep 2018, 01:41
00:00

Difficulty:

55% (hard)

Question Stats:

74% (02:18) correct 26% (03:29) wrong based on 64 sessions

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In a school, 40 percent of the students study Science and 60 percent of them go to special classes after the school. If 30 percent of the students of the school go to special classes, what percent of the students who do not study Science go to special classes after the school?

(A) 10%
(B) 12%
(C) 15%
(D) 24%
(E) 27%

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Director
Joined: 20 Feb 2015
Posts: 790
Concentration: Strategy, General Management
Re: In a school, 40 percent of the students study Science and 60 percent  [#permalink]

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24 Sep 2018, 03:08
Bunuel wrote:
In a school, 40 percent of the students study Science and 60 percent of them go to special classes after the school. If 30 percent of the students of the school go to special classes, what percent of the students who do not study Science go to special classes after the school?

(A) 6%
(B) 12%
(C) 15%
(D) 24%
(E) 27%

let total be 100
study science = 40
do not study science =60
special classes(among those who study science) =24
also
total number of students who go for special classes =30
students who do not study science and go for extra classes =6 = 6%
Director
Joined: 27 May 2012
Posts: 814
Re: In a school, 40 percent of the students study Science and 60 percent  [#permalink]

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08 Nov 2018, 08:57
2
Bunuel wrote:
In a school, 40 percent of the students study Science and 60 percent of them go to special classes after the school. If 30 percent of the students of the school go to special classes, what percent of the students who do not study Science go to special classes after the school?

(A) 6%
(B) 12%
(C) 15%
(D) 24%
(E) 27%

Dear Moderator,
May be I am missing something, But isn't the percentage coming to 10%?

Let total students be 100, then 40 science and 60 Non Science .
Among Science 24 take Special classes. Total students taking special classes is 30. So remaining 6 , must be from Non Science. So percentage of students who go to special classes from Non science is 6/60 * 100= 10% .
Please let me know if I am making a mistake anywhere. Thank you.
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- Stne
Math Expert
Joined: 02 Sep 2009
Posts: 56268
Re: In a school, 40 percent of the students study Science and 60 percent  [#permalink]

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10 Nov 2018, 07:27
stne wrote:
Bunuel wrote:
In a school, 40 percent of the students study Science and 60 percent of them go to special classes after the school. If 30 percent of the students of the school go to special classes, what percent of the students who do not study Science go to special classes after the school?

(A) 6%
(B) 12%
(C) 15%
(D) 24%
(E) 27%

Dear Moderator,
May be I am missing something, But isn't the percentage coming to 10%?

Let total students be 100, then 40 science and 60 Non Science .
Among Science 24 take Special classes. Total students taking special classes is 30. So remaining 6 , must be from Non Science. So percentage of students who go to special classes from Non science is 6/60 * 100= 10% .
Please let me know if I am making a mistake anywhere. Thank you.

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You are right. Edited. Thank you.
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Posts: 4237
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: In a school, 40 percent of the students study Science and 60 percent  [#permalink]

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10 Nov 2018, 08:38
Bunuel wrote:
In a school, 40 percent of the students study Science and 60 percent of them go to special classes after the school. If 30 percent of the students of the school go to special classes, what percent of the students who do not study Science go to special classes after the school?

(A) 10%
(B) 12%
(C) 15%
(D) 24%
(E) 27%

I have solved using 2x2 matrix, attached excel file... hope it helps.
Attachments

File comment: 2x2 matrix
2x2 matrix.xlsx [33.3 KiB]

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Re: In a school, 40 percent of the students study Science and 60 percent   [#permalink] 10 Nov 2018, 08:38
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