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how to solve this problem, answer is no available

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how to solve this problem, answer is no available [#permalink] New post 05 Apr 2012, 14:32
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.
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Re: how to solve this problem, answer is no available [#permalink] New post 05 Apr 2012, 15:12
What's the question, the new avg cost/customer?
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Re: how to solve this problem, answer is no available [#permalink] New post 05 Apr 2012, 15:22
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
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Re: how to solve this problem, answer is no available [#permalink] New post 09 Apr 2012, 09:17
Expert's post
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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Re: how to solve this problem, answer is no available   [#permalink] 09 Apr 2012, 09:17
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