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

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Intern
Joined: 07 Sep 2008
Posts: 25
a group of 12 people plan to rent a van and agree to share [#permalink]

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01 Oct 2008, 06:07
a group of 12 people plan to rent a van and agree to share equally the total cost of the rentail 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?

Can you help solve this?

Thanks,Andreas

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Manager
Joined: 22 Sep 2008
Posts: 119

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01 Oct 2008, 06:53
First case : E /12 is per person expense

Second CAse: E /12-n per person expense.

Diff: (E/12-n) - (E/12)
= E {(1/12-n)- 1/12}
= E (12-12+n/ 12*(12-n))
= EN/12*(12-n)
Intern
Joined: 29 Sep 2008
Posts: 46

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01 Oct 2008, 06:54
as per initial plan, cost per person = E/12
n people defaulted and thus the money that remains unpaid = n * E/12 = nE/12
This money needs to be divided among the remaining (12 - n) people who still believe in group activities and faithfulness towards their friends.
Thus their share would go up by (nE/12)/(12-n) = nE/(12(12-n))

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This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: math question   [#permalink] 01 Oct 2008, 06:54
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# a group of 12 people plan to rent a van and agree to share

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