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Of the students in a school, 20 percent are in the science..

maverickjin8

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Joined: 02 Dec 2015

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Of the students in a school, 20 percent are in the science.. [#permalink]

31 Jan 2016, 03:37

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Of the students in a school, 20 percent are in the science club and 30 percent are in the band. If 25 percent of the students in the school are in the band but are not in the science club, what percent of the students who are in the science club are not in the band?

A : 5%
B : 20
C : 25
D : 60
E : 75%

I can't figure out why the answer is 75%

sandy

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Re: Of the students in a school, 20 percent are in the science.. [#permalink]

01 Feb 2016, 03:33

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maverickjin8 wrote:

Of the students in a school, 20 percent are in the science club and 30 percent are in the band. If 25 percent of the students in the school are in the band but are not in the science club, what percent of the students who are in the science club are not in the band?

A : 5%
B : 20
C : 25
D : 60
E : 75%

I can't figure out why the answer is 75%

Let there be 100 students in the school.

Number of Students in Science Club= 20.
Number of students in Band = 30.
Number of students in a band but not science club= 25.

Number of students in a band and science club= 5.

No of students that are in science club but not in a band= 20 -5 =15.

% of students that are in science club but not in a band = \(\frac{15}{20}*100\) =75

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