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Jason's salary and Karen's salary were each p percent greater

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Jason's salary and Karen's salary were each p percent
(1) In 1995 Karen's salary was $ 2,000 greater than Jason's.
(2) In 1998 Karen's salary was $ 2,440 greater than Jason's
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1 Answer

Jsy Singh
1

Let us assume salaries are j & k and increased ones are j+jp/100 and k+kp/100
So new salaries are say j2 & k2. 
We now have two equations. 
j2 = j+ jp/100
k2 = k + kp/100

 

Statement 1) k - j = 2000. Not Sufficient to calculate.
Statement 2) k2 - j2 = 2440. Not Sufficient to calculate.
Let us combine to the two statements :
k2 - j2 = 2440 = k+ kp/100 - ( j + jp/100) 
=> ( 1 + p/100)( k - j ) 
=> ( 1+ p/100) * 2000
=> This is sufficient to calculate p. 

answered Feb 26, 2015 by Senior Associate (437 points)
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