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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] New post 18 Jun 2015, 20:14
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...
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Re: If 20 percent of the members in club A are members of club B also, [#permalink] New post 18 Jun 2015, 23:37
Expert's post
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
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PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

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COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: If 20 percent of the members in club A are members of club B also,   [#permalink] 18 Jun 2015, 23:37
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