Jason’s salary and Karen’s salary were each p percent greater in 1998 than in 1995. What is the value of p?
a) In 1995, Karen’s salary was $2,000 greater than Jason’s
b) In 1998, Karen’s salary was $2,400 greater than Jason’s
Since Jason's salary grew by p%, and Karen's salary grew by p%, the DIFFERENCE between their salaries also grew by p%.
To illustrate, let p=10%.
Difference in 1995: K-J.
Difference in 1998: 1.1K - 1.1J = 1.1(K-J).
The difference increases by p=10%.
Clearly, neither statement alone is sufficient.
When the two statements are combined, the difference between the salaries increases from 2000 to 2400 -- an increase of 20%.
Thus, p=20.
The correct answer is
C.
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