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The average (arithmetic mean) of a professor's salary at

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The average (arithmetic mean) of a professor's salary at

by VJesus12 » Mon Mar 19, 2018 4:11 am
The average (arithmetic mean) of a professor's salary at University M is s. Is the average salary of a professor at University D at least 25 percent higher than that for a professor at University M?

(1) At University M, the budget allocates $3,500,000 for faculty remuneration.

(2) At University D, the budget allocates $6,000,000 for faculty's salaries.

The OA is E.

I don't get why are not sufficient the statements? May any expert give me a detail explanation here? Thanks.
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by Brent@GMATPrepNow » Mon Mar 19, 2018 5:59 am
VJesus12 wrote:The average (arithmetic mean) of a professor's salary at University M is s. Is the average salary of a professor at University D at least 25 percent higher than that for a professor at University M?

(1) At University M, the budget allocates $3,500,000 for faculty remuneration.

(2) At University D, the budget allocates $6,000,000 for faculty's salaries.
I think you're missing some information above.

Target question: Is the average salary of a professor at University D at least 25 percent higher than that for a professor at University M?

NOTE: In order to determine the average salary of a professor, we need to know the amount spent on professors' salaries AND the number of professors
For example, if University D has only 1 professor, then the average salary at University D = $6,000,000/1 = $6,000,000
Conversely, if University D has 1,000,000 professors, then the average salary at University D = $6,000,000/1,000,000 = $6
Since we aren't told the number of professors at University D, we can never determine the average salary there.
So, we certainly can't compare average salaries at the two universities.

Answer: E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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