Every member of a certain club volunteers to contribute equally to the purchase of a $60 gift certificate. How many members does the club have?
(1) Each member's contribution is to be $4
(2) If 5 club members fail to contribute, the share of each contributing member will increase by $2.
Average
This topic has expert replies
- niketdoshi123
- Master | Next Rank: 500 Posts
- Posts: 210
- Joined: Thu Mar 08, 2012 11:24 pm
- Thanked: 62 times
- Followed by:3 members
-
- Master | Next Rank: 500 Posts
- Posts: 142
- Joined: Thu Apr 26, 2012 3:24 am
- Location: India
- Thanked: 28 times
Statement(1):
sufficient to answer.
number of members = (total contribution)/(individual contribution) = 60/4 = 15
Statement(2):
Let the number be x, which implies each contribution must be 60/x, if all members contribute equally.
"If 5 members fail to contribute, the share of each contributing members will increase by 2" => (x-5)(60/x - 2) = 60
This yields two values for x. But without finding the values, we cannot take any decision.
After solving the equation, we get x = 6 or -10
Negtive value for x can be neglected, as it represents number of members. As there is no ambiguity in the value of x, statement(2) alone is also sufficient
Answer "D"
sufficient to answer.
number of members = (total contribution)/(individual contribution) = 60/4 = 15
Statement(2):
Let the number be x, which implies each contribution must be 60/x, if all members contribute equally.
"If 5 members fail to contribute, the share of each contributing members will increase by 2" => (x-5)(60/x - 2) = 60
This yields two values for x. But without finding the values, we cannot take any decision.
After solving the equation, we get x = 6 or -10
Negtive value for x can be neglected, as it represents number of members. As there is no ambiguity in the value of x, statement(2) alone is also sufficient
Answer "D"
RaviSankar Vemuri
Join my Google Group on Math:
https://groups.google.com/group/mathbyvemuri
My Blog on Math:
https://mathbyvemuri.blocked/
Some concepts for GMAT:
https://mathbyvemuri.blogspot.in/2012/05 ... -data.html
https://mathbyvemuri.blogspot.in/2012/05 ... dates.html
https://mathbyvemuri.blogspot.in/2012/05 ... es-of.html
Join my Google Group on Math:
https://groups.google.com/group/mathbyvemuri
My Blog on Math:
https://mathbyvemuri.blocked/
Some concepts for GMAT:
https://mathbyvemuri.blogspot.in/2012/05 ... -data.html
https://mathbyvemuri.blogspot.in/2012/05 ... dates.html
https://mathbyvemuri.blogspot.in/2012/05 ... es-of.html
GMAT/MBA Expert
- Anurag@Gurome
- GMAT Instructor
- Posts: 3835
- Joined: Fri Apr 02, 2010 10:00 pm
- Location: Milpitas, CA
- Thanked: 1854 times
- Followed by:523 members
- GMAT Score:770
Let us assume that the no. of members in the club = Nniketdoshi123 wrote:Every member of a certain club volunteers to contribute equally to the purchase of a $60 gift certificate. How many members does the club have?
(1) Each member's contribution is to be $4
(2) If 5 club members fail to contribute, the share of each contributing member will increase by $2.
(1) Each member's contribution is to be $4 implies N = 60/4 = $15; SUFFICIENT.
(2) If 5 club members fail to contribute, the share of each contributing member will increase by $2.
Each member's contribution = 60/N
If 5 club members fail to contribute, then each member's contribution = 60/(N - 5)
It is given that 60/(N - 5) = (60/N) + 2
60/(N - 5) = (60 + 2N)/N
60N = 60N - 300 + 2N² - 10N
N² - 5N - 150 = 0
N² - 15N + 10N - 150 = 0
N(N - 15) + 10(N - 15) = 0
(N - 15)(N + 10) = 0
N = 15; SUFFICIENT.
The correct answer is D.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/