The sum of the weekly salaries of 5 employees is $3,250. If

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

The sum of the weekly salaries of 5 employees is $3,250. If

by BTGmoderatorDC » Mon Dec 24, 2018 5:09 am

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The sum of the weekly salaries of 5 employees is $3,250. If each of the 5 salaries is to increase by 10 percent, then the average (arithmetic mean) weekly salary per employee will increase by

A. $52.50
B. $55.00
C. $57.50
D. $62.50
E. $65.00

OA E

Source: Official Guide

Source: Beat The GMAT — Problem Solving | Mon Dec 24, 2018 5:09 am

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by [email protected] » Mon Dec 24, 2018 8:18 am

Hi All,

We're told that the SUM of the weekly salaries of 5 employees is $3,250 and that each of the 5 salaries is to increase by 10 percent. We're asked for the AVERAGE increase in weekly salary per employee.

This question ultimately comes down to working through some arithmetic, but there are a couple of different ways to do that math (and some require fewer 'steps' than others).

Since the TOTAL of the salaries is $3,250, a 10% increase in those salaries would be $325. That increase, when averaged across the 5 employees, would be...

$325/5 = $65

Final Answer: E

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by Scott@TargetTestPrep » Fri Feb 15, 2019 5:17 pm

BTGmoderatorDC wrote:The sum of the weekly salaries of 5 employees is $3,250. If each of the 5 salaries is to increase by 10 percent, then the average (arithmetic mean) weekly salary per employee will increase by

A. $52.50
B. $55.00
C. $57.50
D. $62.50
E. $65.00

OA E

Source: Official Guide

The original average salary is 3,250/5 = $650.

If each of the 5 salaries will increase by 10%, the new sum of the salaries will also increase by 10%. Thus, the new sum is:

0.1 x 3,250 + 3,250 = 325 + 3,250 = $3,575

Thus, the new average salary is 3575/5 = $715, and each salary increases by 715 - 650 = $65.

Alternate Solution:

If each of the salaries is increased by 10%, then the average salary will increase by 10% as well. The original average salary is 3,250/5 = $650. Thus, a 10% salary increase is 650 x 0.10 = $65 per person.

Answer: E

Scott Woodbury-Stewart
Founder and CEO
[email protected]

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