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Of the 50 employees of a certain company, 30 earn an average (arithmet

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Of the 50 employees of a certain company, 30 earn an average (arithmet  [#permalink]

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New post 14 Oct 2019, 09:19
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A
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C
D
E

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Question Stats:

90% (01:39) correct 10% (01:18) wrong based on 42 sessions

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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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Of the 50 employees of a certain company, 30 earn an average (arithmet  [#permalink]

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New post 14 Oct 2019, 12:09
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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.
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Re: Of the 50 employees of a certain company, 30 earn an average (arithmet  [#permalink]

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New post 14 Oct 2019, 09:25
(30*30000 + 15*40000 + 5*60000) / 30+15+5 = 36000

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Of the 50 employees of a certain company, 30 earn an average (arithmet  [#permalink]

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New post 14 Oct 2019, 09:43
Bunuel wrote:
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


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.
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Re: Of the 50 employees of a certain company, 30 earn an average (arithmet  [#permalink]

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New post 14 Oct 2019, 11:52
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Ans: B; (30*30000)+ (15*40000)+(5*60000) = 1800000/50 = $36000
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Re: Of the 50 employees of a certain company, 30 earn an average (arithmet  [#permalink]

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New post 14 Oct 2019, 17:08
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.

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Re: Of the 50 employees of a certain company, 30 earn an average (arithmet   [#permalink] 14 Oct 2019, 17:08
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