Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 29 Jul 2016, 15:01

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# At Daifu university, 40% of all students are members of both

Author Message
TAGS:

### Hide Tags

Manager
Joined: 06 May 2012
Posts: 77
Followers: 2

Kudos [?]: 32 [2] , given: 16

At Daifu university, 40% of all students are members of both [#permalink]

### Show Tags

15 Oct 2012, 16:28
2
KUDOS
3
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

75% (02:27) correct 25% (00:54) wrong based on 89 sessions

### HideShow timer Statistics

At Daifu university, 40% of all students are members of both a chess club and a swim team. If 20% of members of the swim team are not members of the chess club, what percentage of all Daifu students are members of the swim team?

A) 20%
B) 30%
C) 40%
D) 50%
E) 60%

[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 34112
Followers: 6106

Kudos [?]: 76874 [2] , given: 9992

Re: At Daifu university, 40% of all students are members of both [#permalink]

### Show Tags

15 Oct 2012, 16:51
2
KUDOS
Expert's post
gmatchase wrote:
At Daifu university, 40% of all students are members of both a chess club and a swim team. If 20% of members of the swim team are not members of the chess club, what percentage of all Daifu students are members of the swim team?

A) 20%
B) 30%
C) 40%
D) 50%
E) 60%

At Daifu university, 40% of all students are members of both a chess club and a swim team. If 20% of members of the swim team are not members of the chess club, what percentage of all Daifu students are members of the swim team?

A. 20%
B. 30%
C. 40%
D. 50%
E. 60%

Assume there are total of 100 students. 40 students are members of both clubs. We are told that: "20% of members of the swim team are not members of the chess club", thus if S is a # of members of the swim team then 0.2S is # of members of ONLY the swim teem:

40+0.2S=S --> S=50.

Or another way: since "20% of members of the swim team are not members of the chess club" then the rest 80% of members of the swim team (S) ARE members of the chess club, so members of both clubs: 0.8*S=40 --> S=50.

_________________
Manager
Joined: 06 May 2012
Posts: 77
Followers: 2

Kudos [?]: 32 [1] , given: 16

Re: At Daifu university, 40% of all students are members of both [#permalink]

### Show Tags

15 Oct 2012, 17:30
1
KUDOS
Thanks for the quick reply Bunuel. Now I get it.

I am just laying out step by step:

Let's say Total Swim team = $$S$$

Information given in the statement
Members of both teams (Both) = $$40%$$
20% of members of the swim team are not members of the chess club $$(S - Both) = 20% S$$

From above

$$S = Both + 20% S S = 40% + 20% S$$

Finally, $$S = 50%$$
Intern
Joined: 12 Aug 2012
Posts: 7
Followers: 0

Kudos [?]: 1 [1] , given: 95

Re: At Daifu university, 40% of all students are members of both [#permalink]

### Show Tags

16 Oct 2012, 22:29
1
KUDOS
1.Out of total student 40% are member of chess and swim club.
2. 20% of swim club member are not chess club member= 80% of swim club member are also chess club member.
From 1and 2, 80% of swim club = 40% of total student.
So, 100% of swim club= 40/80*100= 50%.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 10661
Followers: 496

Kudos [?]: 131 [0], given: 0

Re: At Daifu university, 40% of all students are members of both [#permalink]

### Show Tags

19 Jun 2014, 11:13
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: At Daifu university, 40% of all students are members of both   [#permalink] 19 Jun 2014, 11:13
Similar topics Replies Last post
Similar
Topics:
5 40% of all high school students hate roller coasters; the rest love th 6 01 Jul 2015, 02:18
If 40 students are members of SCOM,30 are members of CCAPSO 6 15 Jan 2013, 04:54
9 If 40 percent of all students at college X have brown hair a 13 09 Mar 2011, 23:09
2 In a class of 40 students, 12 enrolled for both English and German. 22 9 05 Oct 2010, 05:43
7 In a certain school, 40 more than 1/3 of all the students 5 22 Oct 2006, 08:27
Display posts from previous: Sort by