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If 20 percent of the members in club A are members of club B also,

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If 20 percent of the members in club A are members of club B also, [#permalink] New post 24 Nov 2005, 01:07
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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.
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Re: If 20 percent of the members in club A are members of club B also, [#permalink] New post 24 Nov 2005, 01:15
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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).
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Re: If 20 percent of the members in club A are members of club B also, [#permalink] New post 22 Nov 2014, 03:39
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Re: If 20 percent of the members in club A are members of club B also, [#permalink] New post 11 Dec 2014, 13:16
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?
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Re: If 20 percent of the members in club A are members of club B also, [#permalink] New post 12 Dec 2014, 03:51
Expert's post
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.
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Re: If 20 percent of the members in club A are members of club B also,   [#permalink] 12 Dec 2014, 03:51
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