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# A group of 12 people plan to rent a van and agree to share

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GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4313
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A group of 12 people plan to rent a van and agree to share [#permalink]  22 Sep 2004, 12:39
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A group of 12 people plan to rent a van and agree to share equally the total cost of the rental, which is E dollars. If n of the people decide not to participate at the last minute, by how many dollars will each remaining person's share of the total cost increase?
A) E / (12-n)
B) (12-n) / E
C) E / [12(12-n)]
D) nE / [12(12-n)]
E) E(12-n) / 12n
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Paul

Manager
Joined: 26 Aug 2004
Posts: 55
Followers: 1

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

i come up with D through substitution but i know most of you don't like to do that so...
Director
Joined: 05 May 2004
Posts: 577
Location: San Jose, CA
Followers: 2

Kudos [?]: 35 [0], given: 0

Re: PS Van rental [#permalink]  22 Sep 2004, 14:19
Paul wrote:
A group of 12 people plan to rent a van and agree to share equally the total cost of the rental, which is E dollars. If n of the people decide not to participate at the last minute, by how many dollars will each remaining person's share of the total cost increase?
A) E / (12-n)
B) (12-n) / E
C) E / [12(12-n)]
D) nE / [12(12-n)]
E) E(12-n) / 12n

D

Before per guy pays E/12 .... 1
After n leave per guy pays E/(12-n) .... 2
Hence inc = 2-1 = D
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4313
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Kudos [?]: 216 [0], given: 0

OA is D

Alright, this may sound like a dumb question but I need to ask it
If you take n=6 and E=12, I could not get to the answer with D, can anybody explain?
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Best Regards,

Paul

Director
Joined: 05 May 2004
Posts: 577
Location: San Jose, CA
Followers: 2

Kudos [?]: 35 [0], given: 0

Paul wrote:
OA is D

Alright, this may sound like a dumb question but I need to ask it
If you take n=6 and E=12, I could not get to the answer with D, can anybody explain?

e=15
N=12 n=6
Initial rental share per guy = 12/12 = 1
After 6 leave share per guy = 12/6= 2 .... inc = 1 ... A

D = nE / [12(12-n)] = 6*12/(12*(12-6)) = 1 = A
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4313
Followers: 26

Kudos [?]: 216 [0], given: 0

Thx srijay, it is so straightforward but yet, I had 6*12/12*6 and I kept telling myself that was = 0 for some reason. It's just been a long day I guess...
_________________

Best Regards,

Paul

Director
Joined: 05 May 2004
Posts: 577
Location: San Jose, CA
Followers: 2

Kudos [?]: 35 [0], given: 0

Paul wrote:
Thx srijay, it is so straightforward but yet, I had 6*12/12*6 and I kept telling myself that was = 0 for some reason. It's just been a long day I guess...

I know how it feels Paul!
The same thing is happening with me in CRs .... I dont know what to do
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5078
Location: Singapore
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Kudos [?]: 184 [1] , given: 0

1
KUDOS
Original amount per person = E/12

New amount = E/(12-n)

Increase = E/(12-n) - E/12 = En/12(12-n)

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# A group of 12 people plan to rent a van and agree to share

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