The average salary of 15 people in the shipping department

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BTGmoderatorLU: Moderator; Posts: 2505; Joined: Sun Oct 15, 2017 1:50 pm; Followed by:6 members

The average salary of 15 people in the shipping department

by BTGmoderatorLU » Mon Jan 21, 2019 1:56 pm

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Source: Official Guide

The average salary of 15 people in the shipping department at a certain firm is $20,000. The salary of 5 of the employees is $25,000 each and the salary of 4 of the employees is $16,000 each. What is the average salary of the remaining employees?

A. $19,250
B. $18,500
C. $18,000
D. $15,850
E. $12,300

The OA is B

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Source: Beat The GMAT — Problem Solving | Mon Jan 21, 2019 1:56 pm

GMAT/MBA Expert

Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

by Brent@GMATPrepNow » Mon Jan 21, 2019 2:08 pm

BTGmoderatorLU wrote:The average salary of 15 people in the shipping department at a certain firm is $20,000. The salary of 5 of the employees is $25,000 each and the salary of 4 of the employees is $16,000 each. What is the average salary of the remaining employees?

A. $19,250
B. $18,500
C. $18,000
D. $15,850
E. $12,300

]The average salary of 15 people in the shipping department at a certain firm is $20,000
So, (sum of all 15 salaries)/15 = $20,000
Multiply both sides by 15 to get: sum of all 15 salaries = $300,000

The salary of 5 of the employees is $25,000 each and the salary of 4 of the employees is $16,000 each
5 x $25,000 = $125,000
4 x $16,000 = $64,000
$125,000 + $64,000 = $189,000

So, the 9 people accounted for here have a combined salary of $189,000

What is the average salary of the remaining employees?
sum of all 15 salaries = $300,000
sum of 9 of the salaries = $189,000

$300,000 - $189,000 = $111,000
So, the remaining 6 people must have a combined salary of $111,000

Average salary of 6 people = $111,000/6 = $18,500

Answer: B

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8085; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Sun Jan 27, 2019 6:17 pm

BTGmoderatorLU wrote:Source: Official Guide

The average salary of 15 people in the shipping department at a certain firm is $20,000. The salary of 5 of the employees is $25,000 each and the salary of 4 of the employees is $16,000 each. What is the average salary of the remaining employees?

A. $19,250
B. $18,500
C. $18,000
D. $15,850
E. $12,300

The total salary of the 15 employees is 15 x 20,000 = 300,000.

The total salary of 5 of the employees is 5 x 25,000 = 125,000.

The total salary of another 4 of the employees is 4 x 16,000 = 64,000.

So, the total salary of the remaining 6 people is 300,000 - (125,000 + 64,000) = 111,000; thus, the average of the remaining employees is:

111,000/6 = 18,500

Answer: B

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