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If P(r)=8r/(1-r), for what value of r does P(r)=1/2(P(3))?

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If P(r)=8r/(1-r), for what value of r does P(r)=1/2(P(3))? [#permalink] New post 20 May 2012, 00:38
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Question Stats:

72% (02:12) correct 28% (00:44) wrong based on 18 sessions
If P(r)=8r/(1-r), for what value of r does P(r)=1/2(P(3))?

A. 6
B. 3
C. 0
D. –3
E. –6
[Reveal] Spoiler: OA

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MGMAT CAT MATH mgmat-cat-math-144609.html
MGMAT SC SUMMARY: mgmat-sc-summary-144610.html


Last edited by Bunuel on 20 May 2012, 11:32, edited 1 time in total.
Edited the question and added the OA
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Re: If P(r)=8r/(1-r) [#permalink] New post 20 May 2012, 03:21
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monir6000 wrote:
If P(r)=8r/(1-r), for what value of r does P(r)=1/2*(P(3))?

A. 6
B. 3
C. 0
D. –3
E. –6


P(r) = 8r / (1-r)

P(3) = 8*3 / ( 1-3 ) = - 12

1/2 * P(3) = - 6

P(r) = - 6

=> 8r / ( 1-r ) = - 6

=> 8r = 6r - 6

=> 2r = - 6

=> r = - 3
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Re: If P(r)=8r/(1-r) [#permalink] New post 20 May 2012, 03:28
thanks a lot.....very helpful +1 kudos...
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MGMAT CAT MATH mgmat-cat-math-144609.html
MGMAT SC SUMMARY: mgmat-sc-summary-144610.html

Re: If P(r)=8r/(1-r)   [#permalink] 20 May 2012, 03:28
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