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If all the employees of a company fall into one and only one of 3 grou

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Bunuel
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If all the employees of a company fall into one and only one of 3 grou [#permalink] New post  23 May 2020, 06:55
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If all the employees of a company fall into one and only one of 3 groups, X, Y, or Z, with 250, 100, and 20 members in each group, respectively, what is the average (arithmetic mean) weekly salary of all the employees of this company, if all employees are paid every week of the year?

(1) The average (arithmetic mean) annual salary of the employees in Group X is $10,000, in Group Y $15,000 and in Group Z $20,000.
(2) The total annual payroll is $4,400,000.



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yashikaaggarwal
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Re: If all the employees of a company fall into one and only one of 3 grou [#permalink] New post  23 May 2020, 07:22
Average of company's employee's weeakly salary = total/no. of persons*52 (given he is paid weekly so odd days of year doesn't matter)

Statement 1.
Group X has average salary of 10,000 with 250 members
=>Total of 250*10,000 = 2,500,000

Group Y has average salary of 15,000 with 100 members
=>Total of 100*15,000 = 1,500,000

Group Z has average salary of 20,000 with 20 members
=>Total of 20*20,000 = 400,000
Total = 4,400,000
Average= 4,400,000/370*52
=228.70 / week salary of an employee (sufficient)

Statement 2:
Average = 4,400,000/370*52
=228.70 / week salary of an employee (sufficient)

Answer should be D

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BrentGMATPrepNow
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Re: If all the employees of a company fall into one and only one of 3 grou [#permalink] New post  26 Nov 2020, 06:14
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Bunuel wrote:
If all the employees of a company fall into one and only one of 3 groups, X, Y, or Z, with 250, 100, and 20 members in each group, respectively, what is the average (arithmetic mean) weekly salary of all the employees of this company, if all employees are paid every week of the year?

(1) The average (arithmetic mean) annual salary of the employees in Group X is $10,000, in Group Y $15,000 and in Group Z $20,000.
(2) The total annual payroll is $4,400,000.
DS21215


Given: All the employees of a company fall into one and only one of 3 groups, X, Y, or Z, with 250, 100, and 20 members in each group, respectively.
So, the total number of employees = 250 + 100 + 20 = 370

Target question: What is the average (arithmetic mean) weekly salary of all the employees of this company, if all employees are paid every week of the year?

Statement 1: The average (arithmetic mean) annual salary of the employees in Group X is $10,000, in Group Y $15,000 and in Group Z $20,000.
The weighted averages formula says: Weighted average of groups combined = (group A proportion)(group A average) + (group B proportion)(group B average) + (group C proportion)(group C average) + ...
So, the average ANNUAL salary of all employees = (250/370)($10,000) + (100/370)($15,000) + (20/370)($20,000)
Since we COULD calculate the average ANNUAL salary, we could also calculate the average WEEKLY salary (of course we wouldn't waste valuable time on test day doing so).
Since we could answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: The total annual payroll is $4,400,000.
So, the average ANNUAL salary of all employees = $4,400,000/370
This also means we could calculate the average WEEKLY salary.
Statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent
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Basshead
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Re: If all the employees of a company fall into one and only one of 3 grou [#permalink] New post  27 Nov 2020, 12:29
Bunuel wrote:
If all the employees of a company fall into one and only one of 3 groups, X, Y, or Z, with 250, 100, and 20 members in each group, respectively, what is the average (arithmetic mean) weekly salary of all the employees of this company, if all employees are paid every week of the year?

(1) The average (arithmetic mean) annual salary of the employees in Group X is $10,000, in Group Y $15,000 and in Group Z $20,000.
(2) The total annual payroll is $4,400,000.



DS21215


Group X = 250 members
Group Y = 100 members
Group Z = 20 members

(1) \(250(10,000) + 100(15,000) + 20(20,000)\) = total salary

From the total annual salary, we can determine the average weekly salary of all the employees. SUFFICIENT.

(2) From the total annual payroll, we can determine the average weekly salary of all the employees. SUFFICIENT.

Answer is D.
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CrushTHYGMAT
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Re: If all the employees of a company fall into one and only one of 3 grou [#permalink] New post  29 Aug 2022, 22:02
avigutman and Bunuel, can you please shed some light on how do we find the average weekly salary? Will it be total salaries/total weeks in a year?

Thank you.
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avigutman
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If all the employees of a company fall into one and only one of 3 grou [#permalink] New post  30 Aug 2022, 12:43
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CrushTHYGMAT wrote:
Can you please shed some light on how do we find the average weekly salary? Will it be total salaries/total weeks in a year?


CrushTHYGMAT you're asking about how to find the average weekly salary, but I suspect you meant to ask how to find the average (arithmetic mean) weekly salary of all the employees of this company.
You'd have to add up all weekly salaries of all employees, and then divide by the number of employees.
If you're given the annual salaries rather than weekly salaries, you have to add up all annual salaries of all employees, then divide by the number of weeks per year and also divide by the number of employees.
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If all the employees of a company fall into one and only one of 3 grou [#permalink]
30 Aug 2022, 12:43
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