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At a certain company, 10% of the employees took at least 2 sick days

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At a certain company, 10% of the employees took at least 2 sick days  [#permalink]

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New post Updated on: 22 Oct 2019, 23:15
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A
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Difficulty:

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Question Stats:

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EMPOWERgmat PS Series:
Pack 3, Question 3

At a certain company, 10% of the employees took at least 2 sick days off during 2018. One-third of those who took at least 2 sick days off had been with the company for at least 4 years. If 40 people who took at least 2 sick days off during 2018 had been with the company for fewer than 4 years, what is the total number of employees at the company?

A) 60
B) 120
C) 400
D) 600
E) 1200



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Originally posted by EMPOWERgmatRichC on 18 Oct 2019, 18:07.
Last edited by EMPOWERgmatRichC on 22 Oct 2019, 23:15, edited 1 time in total.
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Re: At a certain company, 10% of the employees took at least 2 sick days  [#permalink]

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New post 18 Oct 2019, 23:33
40=2/3×X×10%
2=1/3%×X=X/300
X=600
Option D

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Re: At a certain company, 10% of the employees took at least 2 sick days  [#permalink]

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New post 19 Oct 2019, 06:48
EMPOWERgmatRichC wrote:
EMPOWERgmat PS Series:
Pack 3, Question 3

At a certain company, 10% of the employees took at least 2 sick days off during 2018. One-third of those who took at least 2 sick days off had been with the company for at least 4 years. If 40 people who took at least 2 sick days off during 2018 had been with the company for fewer than 4 years, what is the total number of employees at the company?

A) 60
B) 120
C) 400
D) 600
E) 1200

Work in reverse order -
Quote:
One-third of those who took at least 2 sick days off had been with the company for at least 4 years. If 40 people who took at least 2 sick days off during 2018 had been with the company for fewer than 4 years,


2/3x = 40

So, x = 60

Quote:
At a certain company, 10% of the employees took at least 2 sick days off during 2018.


If 10% = 60

Total employees ( 100% ) is 600 , Answer must be (D)
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Re: At a certain company, 10% of the employees took at least 2 sick days   [#permalink] 19 Oct 2019, 06:48
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