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

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

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New post 24 Sep 2018, 00:41
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Question Stats:

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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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Re: In a school, 40 percent of the students study Science and 60 percent  [#permalink]

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New post 24 Sep 2018, 02:08
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%
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Re: In a school, 40 percent of the students study Science and 60 percent  [#permalink]

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New post 08 Nov 2018, 07:57
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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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Re: In a school, 40 percent of the students study Science and 60 percent  [#permalink]

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New post 10 Nov 2018, 06:27
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.

___________________________
You are right. Edited. Thank you.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

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Re: In a school, 40 percent of the students study Science and 60 percent  [#permalink]

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New post 10 Nov 2018, 07:38
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.
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2x2 matrix.xlsx [33.3 KiB]
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Re: In a school, 40 percent of the students study Science and 60 percent &nbs [#permalink] 10 Nov 2018, 07:38
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