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Of the 50 employees of a certain company, 30 earn an average (arithmetic mean) salary of $30,000, 15 earn an average salary of $40,000, and 5 earn an average salary of $60,000. What is the average salary earned by the employees of this company?
A. $30,000
B. $36,000
C. $40,000
D. $45,000
E. $50,000
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A. $30,000
B. $36,000
C. $40,000
D. $45,000
E. $50,000
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Posts: 4
(30*30000 + 15*40000 + 5*60000) / 30+15+5 = 36000
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Posted from my mobile device
siddharthkapoor
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Joined: 10 Apr 2018
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Bunuel
Sum of salaries of all employees= (30*30000+15*40000+5*60000)
Total number of employees=30+15+5
Thus, average salary= \(\frac{30*30000+15*40000+5*60000}{30+15+5}\)=36000
Therefore, the correct answer is option B.
Ans: B; (30*30000)+ (15*40000)+(5*60000) = 1800000/50 = $36000
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Posts: 5
This question tests the concept of weighted averages. The average salary will be:
Total Salary Given/Total number of employees.
Total Salary Given = 30000 * 30 + 40000 * 15 + 60000 * 5 = $1800000
Total employees = 50
Average Salary = 1800000/50 = $36000
Answer Choice (B) is correct.
Total Salary Given/Total number of employees.
Total Salary Given = 30000 * 30 + 40000 * 15 + 60000 * 5 = $1800000
Total employees = 50
Average Salary = 1800000/50 = $36000
Answer Choice (B) is correct.
Make it easier and divide all of the salaries by 1000 to make the numbers smaller.
(30)(30)+(15)(40)+(5)(60) = 1800.
1800/50 = 36.
NOW add the zeros back and you get $36,000
Tip: 15 x 40 is the same as 40(10+5) or 400 + 200.
Posted from my mobile device
(30)(30)+(15)(40)+(5)(60) = 1800.
1800/50 = 36.
NOW add the zeros back and you get $36,000
Tip: 15 x 40 is the same as 40(10+5) or 400 + 200.
Posted from my mobile device
ScottTargetTestPrep
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Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 11 Sep 2026
Posts: 22,738
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Location: United States (CA)
Expert reply
Posts: 22,738
Bunuel
We can create the following equation:
WA = (30 x 30,000 + 15 x 40,000 + 5 x 60,000)/50
Dividing each term by 50, we are left with:
WA = 30 x 600 + 15 x 800 + 5 x 1200
WA = 18,000 + 12,000 + 6,000
WA = 36,000
Answer: B
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