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R students in a class

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R students in a class

by rohangupta83 » Thu Nov 06, 2008 3:38 am
The R students in a class agree to contribute equally to buy their teacher a birthday present that costs y dollars. If x of the students later fail to contribute their share, which of the following represents the additional number of dollars that each of the remaining students must contribute in order to pay for the present?
(A) Y/R
(B) Y/(R-X)
(C) XY/(R-X)
(D) XY/[R(R-X)]
(E) Y/[R(R-X)]

This one, I am sure the answer is C but the answer given in my source is D. Perhaps I should not trust the answers given in the source.
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Re: R students in a class

by sudhir3127 » Thu Nov 06, 2008 3:51 am
rohangupta83 wrote:The R students in a class agree to contribute equally to buy their teacher a birthday present that costs y dollars. If x of the students later fail to contribute their share, which of the following represents the additional number of dollars that each of the remaining students must contribute in order to pay for the present?
(A) Y/R
(B) Y/(R-X)
(C) XY/(R-X)
(D) XY/[R(R-X)]
(E) Y/[R(R-X)]

This one, I am sure the answer is C but the answer given in my source is D. Perhaps I should not trust the answers given in the source.
In this case one is better off assuming numbers if alphabets are confusing..

let R = 10
Y = 100 ( thus they have contributed 10 each)

say X be 5 who have not contributed

so we are short by 50 ,

thus the remaining students contribution would be

5* 100(10( 10-5))
500/50 = 10'

thus its D, hope that helps...
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by rohangupta83 » Thu Nov 06, 2008 4:11 am
I see my mistake - I took Y to be the contribution per person instead of the Y(total amount contributed)/R(total number of contributors).

So, when I was solving the equation I took X*Y instead of X*(Y/R)

Where Y/R is the contribution per person

Thanks again Sudhir!
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by cramya » Thu Nov 06, 2008 5:57 pm
Rohan,
If u dont mind me asking; whats the source? It does look a lot like one of the gmat prep problems discussed in this forum (office scenario)

Regards,
Cramya
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Re: R students in a class

by logitech » Thu Nov 06, 2008 6:09 pm
rohangupta83 wrote:The R students in a class agree to contribute equally to buy their teacher a birthday present that costs y dollars. If x of the students later fail to contribute their share, which of the following represents the additional number of dollars that each of the remaining students must contribute in order to pay for the present?
(A) Y/R
(B) Y/(R-X)
(C) XY/(R-X)
(D) XY/[R(R-X)]
(E) Y/[R(R-X)]

This one, I am sure the answer is C but the answer given in my source is D. Perhaps I should not trust the answers given in the source.
Rohan,

Let's say half of the class walks away from the deal, so the rest pay twice. So the additional price they will pay is what they were originally paying. In other words

If X = (R/2)

The answer should be (Y/R)

Easy to spot, D[/i]
LGTCH
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