Last visit was: 15 Jul 2024, 01:20 It is currently 15 Jul 2024, 01:20
Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
SORT BY:
Date
User avatar
Manager
Manager
Joined: 08 Aug 2005
Posts: 215
Own Kudos [?]: 362 [22]
Given Kudos: 0
Send PM
User avatar
Director
Director
Joined: 14 Sep 2005
Posts: 525
Own Kudos [?]: 1216 [4]
Given Kudos: 0
Location: South Korea
Send PM
avatar
Intern
Intern
Joined: 13 Dec 2013
Posts: 32
Own Kudos [?]: 21 [0]
Given Kudos: 21
GPA: 2.71
Send PM
Math Expert
Joined: 02 Sep 2009
Posts: 94342
Own Kudos [?]: 640903 [1]
Given Kudos: 85011
Send PM
Re: If 20 percent of the members in club A are members of club B also, [#permalink]
1
Bookmarks
Expert Reply
saadis87 wrote:
gamjatang wrote:
If 20 percent of the members in club A are members of club B also, which club has more members?

1). 30 percent of the members of B are members of A also.
2). A has 600 members.

X = number of members in club A
Y = number of members in club B

1)

0.2X = 0.3Y
X = 3/2Y
X > Y
Sufficient

2)
X = 600
Insufficient

Thus, (A).



and um...what if club A has 1000 members and B has 100?


A = 1000 and B = 100 would contradict info given in the stem. We are told that 20% of the members in club A are members of club B also, if there are 100 people in A, then it means that 200 of them are members of B too. Thus B cannot have less than 200 members.

From the stem we have that {Both} = 0.2A. (1) says that {Both}= 0.3B, hence 0.2A = 0.3B --> A/B = 3/2 --> A > B.

Hope it's clear.
Intern
Intern
Joined: 21 Mar 2015
Posts: 40
Own Kudos [?]: 6 [0]
Given Kudos: 57
Send PM
Re: If 20 percent of the members in club A are members of club B also, [#permalink]
0.2X = 0.3Y is wrong, because it is not same , as it is not given those 20 % and 30 percent are common to both...
Math Expert
Joined: 02 Sep 2009
Posts: 94342
Own Kudos [?]: 640903 [0]
Given Kudos: 85011
Send PM
Re: If 20 percent of the members in club A are members of club B also, [#permalink]
Expert Reply
anand.prakash90@gmail.com wrote:
0.2X = 0.3Y is wrong, because it is not same , as it is not given those 20 % and 30 percent are common to both...


No, that's not correct.

20 percent of the members in club A are members of club B also, means that {Both} = 0.2A.
30 percent of the members of B are members of A also, means that {Both}= 0.3B.

Therefore, 0.2A = 0.3B --> A/B = 3/2 --> A > B.

Check OG question about the same concept: is-the-number-of-members-of-club-x-greater-than-the-number-128641.html
Intern
Intern
Joined: 21 Jun 2015
Posts: 27
Own Kudos [?]: 29 [0]
Given Kudos: 28
Location: India
Concentration: Finance, General Management
GMAT 1: 660 Q50 V30
GPA: 3.32
WE:Programming (Computer Software)
Send PM
Re: If 20 percent of the members in club A are members of club B also, [#permalink]
1)0.2a = 0.3b
a = 3/2b
a > b
Sufficient

2)
a = 600
b = ?
insufficient
A it is
User avatar
Non-Human User
Joined: 09 Sep 2013
Posts: 33970
Own Kudos [?]: 851 [0]
Given Kudos: 0
Send PM
Re: If 20 percent of the members in club A are members of club B also, [#permalink]
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.
GMAT Club Bot
Re: If 20 percent of the members in club A are members of club B also, [#permalink]
Moderator:
Math Expert
94342 posts