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saurabhmahajan: Master | Next Rank: 500 Posts; Posts: 250; Joined: Thu Jan 07, 2010 2:21 am; Thanked: 10 times

by saurabhmahajan » Sat Oct 23, 2010 9:34 am

Please explain

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Thanks and regards,
Saurabh Mahajan

I can understand you not winning,but i will not forgive you for not trying.

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Source: Beat The GMAT — Problem Solving | Sat Oct 23, 2010 9:34 am

Tani: Legendary Member; Posts: 1255; Joined: Fri Nov 07, 2008 2:08 pmFollowed by: 90 members; Location: St. Louis; Thanked: 312 times

by Tani » Sat Oct 23, 2010 2:31 pm

A: K = J + 2,000 - no help.

B: with p% increase for each of them, Karen will make $2440 more than Jason

K(1 + p/100) = J (1 + p/100) + 2440 - no help, you still have too many variables.

Together:
Substitute (J + 2000) for K in the second equation.

(J + 2000)(1 + p/100) = J (1 + p/100) + 2440

then: J(1+ p/100) + 2000 (1 + p/100) = J(1+ p/100) + 2400.

subtract J(1 + p/100) from each side you get

2000 (1+p/100) = 2440

p = 22%

Tani Wolff

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