In Dives Corporation, 75% of the employees are customer service representatives, 15% are programmers, and 10% are...

[BTGmoderatorLU]

Source: Magoosh

In Dives Corporation, 75% of the employees are customer service representatives, 15% are programmers, and 10% are managers. The customer service representatives have an average salary of $60,000, and the programmers have an average salary of $100,000. If the average salary of all employees is also $100,000, what is the average salary of the managers?

A. $140,000
B. $180,000
C. $260,000
D. $400,000
E. $560,000

The OA is D

[Scott@TargetTestPrep]

Source: Magoosh

In Dives Corporation, 75% of the employees are customer service representatives, 15% are programmers, and 10% are managers. The customer service representatives have an average salary of $60,000, and the programmers have an average salary of $100,000. If the average salary of all employees is also $100,000, what is the average salary of the managers?

A. $140,000
B. $180,000
C. $260,000
D. $400,000
E. $560,000

The OA is D

Solution:

We can let n = the average salary of the managers and create the weighted average equation:

0.75(60,000) + 0.15(100,000) + 0.1n = 100,000

45,000 + 15,000 + 0.1n = 100,000

0.1n = 40,000

n = 400,000

Answer: D