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jasons salary and karen salary were each p percent greater

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jasons salary and karen salary were each p percent greater [#permalink] New post 19 Oct 2010, 00:02
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C
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Question Stats:

71% (01:32) correct 29% (00:57) wrong based on 14 sessions
jasons salary and karen salary were each p percent greater in 1998 than in 1995, what is the value of p

1) in 1995 karens salary was $2000 greater than jasons
1) in 1998 karens salary was $2400 greater than jasons
[Reveal] Spoiler: OA
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Re: ds question [#permalink] New post 19 Oct 2010, 02:13
C it is.

1) insuff. as info given: J + 2000 = K, and no time scale to relate to P.
2) insuff. as above

both - I assumed suff as I think we had enough data.
solve the two equations:
J + 2000 = k
J + (J*P) + 2400 = k + (k*P)

P = 22%

Not sure if this is at all right. Please help
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Re: ds question [#permalink] New post 19 Oct 2010, 02:28
Both statements alone do not help, so we have to look at both statements together.

In 1995:
Ka = Ja + 2000

In 1998:
Kb = Jb + 2400

Since Kb = Ka(1 + p/100),

Ka(1 + p/100) = Ja(1 + p/100) + 2400

Substitute Ka

(Ja + 2000)(1 + p/100) = Ja(1 + p/100) + 2400

solving we get p = 20%

So the answer is C.
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Re: ds question [#permalink] New post 19 Oct 2010, 02:36
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satishreddy wrote:
jasons salary and karen salary were each p percent greater in 1998 than in 1995, what is the value of p

1) in 1995 karens salary was $2000 greater than jasons
1) in 1998 karens salary was $2400 greater than jasons

Combining these 2 statement we can get the value of p.
Because 2000 would also have increased with the same percentage p.
means, 2000 + 2000(p/100) = 2400
or p = (400* 100)/2000 = 20%.
Answer is C.

Consider KUDOS if u find this helpful to u .Thanks
Re: ds question   [#permalink] 19 Oct 2010, 02:36
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