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# jasons salary and karen salary were each p percent greater

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Intern
Joined: 25 Sep 2010
Posts: 19
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jasons salary and karen salary were each p percent greater [#permalink]

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19 Oct 2010, 01:02
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Difficulty:

45% (medium)

Question Stats:

60% (01:45) correct 40% (01:23) wrong based on 20 sessions

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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
Intern
Affiliations: SPE
Joined: 02 Sep 2010
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Location: Copenhagen
Schools: Columbia, MIT, Harvard, LBS
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19 Oct 2010, 03:13
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%

Manager
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19 Oct 2010, 03:28
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%

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19 Oct 2010, 03:36
1
KUDOS
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%.

Consider KUDOS if u find this helpful to u .Thanks
Re: ds question   [#permalink] 19 Oct 2010, 03:36
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