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# how to solve this problem, answer is no available

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Intern
Joined: 26 Mar 2012
Posts: 9

Kudos [?]: 5 [0], given: 11

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05 Apr 2012, 15:32
1.THE COST TO CHARTER A PLANE IS "D" DOLLARS, WHICH IS TO BE SHARED EQUALLY AMONG THE PASSENGER. THE NUMBER OF PASSENGERS, WHICH WAS ORIGINALLY 12, INCREASES TO 18, DECREASING THE COST BY X AMOUNT PER PERSON.

I would like to know how i can solve this problem in less than 2 min.

Kudos [?]: 5 [0], given: 11

Manager
Joined: 21 Sep 2008
Posts: 193

Kudos [?]: 9 [0], given: 18

Concentration: Strategy, Economics
GMAT Date: 07-17-2015
GPA: 3.57

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05 Apr 2012, 16:12
What's the question, the new avg cost/customer?
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Kudos [?]: 9 [0], given: 18

Manager
Joined: 22 Feb 2012
Posts: 93

Kudos [?]: 25 [0], given: 25

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05 Apr 2012, 16:22
What is the question? If it is what is x? You cannot solve it based on the given info.. That being said, here is what I would do:

Cost = d

so cost per person = d/12 initially and then d/18

so cost decreases from d/12 to d/18

thus d/12 - d/18 = x

x = d/36

Kudos [?]: 25 [0], given: 25

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7736

Kudos [?]: 17774 [0], given: 235

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09 Apr 2012, 10:17
rovshan85 wrote:
1.THE COST TO CHARTER A PLANE IS "D" DOLLARS, WHICH IS TO BE SHARED EQUALLY AMONG THE PASSENGER. THE NUMBER OF PASSENGERS, WHICH WAS ORIGINALLY 12, INCREASES TO 18, DECREASING THE COST BY X AMOUNT PER PERSON.

I would like to know how i can solve this problem in less than 2 min.

I am not sure if this is what you meant but here is the method I use:

Say, number of passengers was 12 and is now 18. Say the cost per person has decreased by \$25.

Ratio of number of passenger then and now = 12:18 = 2:3
Then, ratio of cost per person then and now = 3:2 (Cost per person is inversely proportional to number of passengers since Cost per person = Total cost/No of passengers)

The difference of 1 on the ratio scale (3:2) corresponds to 25 so cost per person then was 3*25 = 75 and cost per person now is 2*25 = 50

Also, the total cost 'd' = 75*12 or 50*18 = 900
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Kudos [?]: 17774 [0], given: 235

Re: how to solve this problem, answer is no available   [#permalink] 09 Apr 2012, 10:17
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