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At a certain school, 40 percent of the students play both rugby and play chess. If 40 percent of the students who play rugby do not play chess, what percent of the students play rugby?

Re: At a certain school, 40 percent of the students play rugby [#permalink]

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21 Sep 2016, 01:21

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GMATPrepNow wrote:

At a certain school, 40 percent of the students play both rugby and play chess. If 40 percent of the students who play rugby do not play chess, what percent of the students play rugby?

Re: At a certain school, 40 percent of the students play rugby [#permalink]

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29 Sep 2017, 20:43

abhimahna wrote:

GMATPrepNow wrote:

At a certain school, 40 percent of the students play both rugby and play chess. If 40 percent of the students who play rugby do not play chess, what percent of the students play rugby?

A : Only Rugby B : Both Rugby and Chess C : Only Chess

A+B+C =100

Also, B = 40 (Given)

We are given 40% of (A+B) = A

or 2 (A+40) = 3A

or A = 80/3

Now, We need to find (A+B)/Total *100 = 66 2/3. Hence, B is the answer.

Aren't we forgetting people who are not going to play both chess and rugby. without mentioning the fact that all the student will play one of the game, this question can't be solved.