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

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Math Expert
Joined: 02 Sep 2009
Posts: 59739
Of the 50 employees of a certain company, 30 earn an average (arithmet  [#permalink]

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14 Oct 2019, 09:19
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Difficulty:

15% (low)

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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Joined: 15 Aug 2013
Posts: 3
Of the 50 employees of a certain company, 30 earn an average (arithmet  [#permalink]

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14 Oct 2019, 12:09
1
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

Intern
Joined: 10 Jul 2019
Posts: 1
Re: Of the 50 employees of a certain company, 30 earn an average (arithmet  [#permalink]

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

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Senior Manager
Joined: 10 Apr 2018
Posts: 285
Location: India
Concentration: General Management, Operations
GMAT 1: 680 Q48 V34
GPA: 3.3
Of the 50 employees of a certain company, 30 earn an average (arithmet  [#permalink]

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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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14 Oct 2019, 11:52
Top Contributor
Ans: B; (30*30000)+ (15*40000)+(5*60000) = 1800000/50 = $36000 _________________ Are you stuck around 630? If you can't pole-vault above 630, spare 30 hours and you can fly on top. "Winners never quit and quitters never win". (+919884544509), <newnaren@gmail.com> Intern Joined: 25 Jul 2017 Posts: 24 Re: Of the 50 employees of a certain company, 30 earn an average (arithmet [#permalink] ### Show Tags 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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