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# The R students in a class agree to contribute equally to buy

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Manager
Joined: 04 Apr 2008
Posts: 228
Location: Pune
Followers: 2

Kudos [?]: 22 [0], given: 3

The R students in a class agree to contribute equally to buy [#permalink]  08 Jul 2008, 05:15
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 2 sessions
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)
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Manager
Joined: 08 Jun 2008
Posts: 70
Followers: 1

Kudos [?]: 3 [0], given: 0

If everybody pays, it is Y/R dollars per student.
If X sutdents are not paying the total additional amount will be XY/R dollars
It should be shared by R-X students, which means the additional amount for each student is XY/R(R-X) = D
Manager
Joined: 24 Apr 2008
Posts: 162
Followers: 1

Kudos [?]: 39 [1] , given: 0

1
KUDOS
Total cost = Y

Cost per student: Y/R

Now tot no. of students who contribute = R-X

Hence each student has to contribute: Y/ (R-X)

Additional amt: Y/R - Y/(R-X) = YX/R(R-X)

Hence D
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