What is the average salary at Company A?
(1) The average salary at Company A and Company B combined is $88,000.
(2) The average salary at Company B is $80,000.
What's the best way to verify which statement is sufficient? Can any experts help?
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What is the average salary at Company A?
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To make the math easier, ignore the last three 0's in each amount, as follows:
Case 1: 1 employee at A and 1 employee at B, for a total of 2 employees
Sum of the salaries for A and B together = (number of employees)(average salary) = 2*88 = 176.
Sum of the salaries at B alone = (number of employees)(average salary) = (1)(80) = 80.
Salary for the 1 employee at A = (sum of the salaries for A and B together) - (sum of the salaries at B alone) = 176-80 = 96.
Case 2: 1 employee at A and 2 employee at B, for a total of 3 employees
Sum of the salaries for A and B together = (number of employees)(average salary) = 3*88 = 264.
Sum of the salaries at B alone = (number of employees)(average salary) = (2)(80) = 160.
Salary for the 1 employee at A = (sum of the salaries for A and B together) - (sum of the salaries at B alone) = 264-160 = 104.
Since the salary at A can be different values, the two statements combined are INSUFFICIENT.
The correct answer is E.
Statements combined:What is the average salary at Company A?
(1) The average salary at Company A and Company B combined is $88.
(2) The average salary at Company B is $80.
Case 1: 1 employee at A and 1 employee at B, for a total of 2 employees
Sum of the salaries for A and B together = (number of employees)(average salary) = 2*88 = 176.
Sum of the salaries at B alone = (number of employees)(average salary) = (1)(80) = 80.
Salary for the 1 employee at A = (sum of the salaries for A and B together) - (sum of the salaries at B alone) = 176-80 = 96.
Case 2: 1 employee at A and 2 employee at B, for a total of 3 employees
Sum of the salaries for A and B together = (number of employees)(average salary) = 3*88 = 264.
Sum of the salaries at B alone = (number of employees)(average salary) = (2)(80) = 160.
Salary for the 1 employee at A = (sum of the salaries for A and B together) - (sum of the salaries at B alone) = 264-160 = 104.
Since the salary at A can be different values, the two statements combined are INSUFFICIENT.
The correct answer is E.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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