If 25% of the employees at a firm did not take a vacation last year, : Data Sufficiency (DS)

EgmatQuantExpert · 2015-05-13T07:45:17-07:00

[b][size=120][color=#0000ff]Question 3 of [url=https://e-gmat.com/gc-articles/?name=setstriad&utm_source=GC&utm_medium=snowball_q&utm_campaign=gc_snowball_q&utm_content=setstriad&utm_term=GCsnowball_q_gc_sb_q_setstriad_q3_setstriad]The e-GMAT Sets Triad[/url][/color][/size][/b] If 25% of the employees at a firm did not take a vacation last year, what percent of the employees received a promotion? (I) Only 1 out of every 3 employees who took a vacation last year received a promotion. (II) The number of employees who took a vacation but did not get a promotion was 500% of the number of employees who neither took a vacation nor got a promotion. The Official Answer and the Explanation will be posted on 14th May. Till then, post your solution below and get Kudos for participation. Happy Solving! :-D [size=130] [url=https://e-gmat.com/gc-articles/?name=setstriad_q2&utm_source=GC&utm_medium=snowball_q&utm_campaign=gc_snowball_q&utm_content=setstriad_q2&utm_term=GCsnowball_q_gc_sb_q_setstriad_q3_setstriad_q2]Previous Question[/url][/size] [size=130]To read all our articles:[url=https://e-gmat.com/gc-articles/?name=quant_consolidated&utm_source=GC&utm_medium=snowball_q&utm_campaign=gc_snowball_q&utm_content=quant_consolidated&utm_term=GCsnowball_q_gc_sb_q_setstriad_q3_quant_consolidated]Must Read articles to reach Q51[/url][/size] [url=https://e-gmat.com/quant-workshop-free-session/?utm_source=GC&utm_medium=questions_q&utm_campaign=free_session&utm_content=quant_workshop&utm_term=GCquestions_q_fs_setstriad_q3_qw][img]https://e-gmat.com/blogs/wp-content/uploads/2018/08/Quant-workshop_Webinar-e1533628475738.jpg[/img][/url]

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Nevernevergiveup

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Re: If 25% of the employees at a firm did not take a vacation last year, [#permalink]

14 May 2015, 10:57

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To make things simpler let us assume employees at a firm be 100.
employees who took vacation are 75.
1. this statement gives the information that the no of employees who took vacation and ( out of those1/3) who received promotion is 25. thereby it is 25% percent of the employees received a promotion. Stmt 1 is sufficient.
2.This gives the info that out of people who did not get promotion, those who attended vacation is 5 times the no of people who did not attend vacation. This does not give us enough info to solve the question.

Stmt 1 is sufficient. Answer is A

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Re: If 25% of the employees at a firm did not take a vacation last year, [#permalink]

14 May 2015, 15:33

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This is how I approached it to get to Answer = C:

Let's assume there are 100 employees
Given - 25 No Vacay & 75 took vacay
1)
1 in every 3 vacay employees got promoted ---->25 & 50 didn't get promotion. At this point we can't say what % of folks got promotion, so insufficient
2)
Given 50 is 500% of No Vacay folks who didn't get promoted
So 25 folks took no vacay…some got promoted and some did not.
Let x be the # of folks in the category of no vacay + no promo
so, 50 = 5 * (25-x)….hence, x = 15.....Again 2 alone is not sufficient to answer

1) + 2)
So, in total how many people got promoted = 10+25
Thus, 35% got promoted & Therefore both statements considered together are SUFFICIENT.

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Re: If 25% of the employees at a firm did not take a vacation last year, [#permalink]

15 May 2015, 00:06

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According to me,the answer should be C. However the number of people who are promoted is coming out to be 40% of the total.

Cheers :-D

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Re: If 25% of the employees at a firm did not take a vacation last year, [#permalink]

15 May 2015, 00:15

Expert Reply

kunals31: You answered the question right and your analysis was spot-on till the very last sentence. Please have a look at the red part in your solution below:

kunals31 wrote:

The people who took a vacation as well as got a promotion is 25%. Hence, the people who took a vacation but did not get a promotion is 50%. This means that the people who neither took a vacation nor got a promotion is 10% of the total. Thus, the people who got a promotion but did not take a vacation is (100-50-25-10)%, i.e. 15%. This means that the number of people who got a promotion is 35% of the total.

Thus, both statements considered together are SUFFICIENT.

The correct % of people who got a promotion is 40%. Had this been a PS question, even this mistake in the last step would have led to you marking a wrong answer choice.

Mechmeera: This 25% number refers to the number of employees who took a vacation AND got a promotion. What about the employees who didn't take a vacation and got a promotion?

Mechmeera wrote:

To make things simpler let us assume employees at a firm be 100.
employees who took vacation are 75.
1. this statement gives the information that the no of employees who took vacation and ( out of those1/3) who received promotion is 25. thereby it is 25% percent of the employees received a promotion. Stmt 1 is sufficient.

rohitd80: You got the answer right but please have a look at the red part in your solution below. The correct equation would have been 50 = 5x. This would have led you to the total % of promoted people = 40%

rohitd80 wrote:

2)
Given 50 is 500% of No Vacay folks who didn't get promoted
So 25 folks took no vacay…some got promoted and some did not.
Let x be the # of folks in the category of no vacay + no promo
so, 50 = 5 * (25-x)….hence, x = 15.....Again 2 alone is not sufficient to answer

1) + 2)
So, in total how many people got promoted = 10+25
Thus, 35% got promoted & Therefore both statements considered together are SUFFICIENT.

anewbeginning: You were absolutely right! :-D

I hope you guys found this discussion useful!

Japinder

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Re: If 25% of the employees at a firm did not take a vacation last year, [#permalink]

15 May 2015, 00:50

EgmatQuantExpert wrote:

kunals31: You answered the question right and your analysis was spot-on till the very last sentence. Please have a look at the red part in your solution below:

kunals31 wrote:

The people who took a vacation as well as got a promotion is 25%. Hence, the people who took a vacation but did not get a promotion is 50%. This means that the people who neither took a vacation nor got a promotion is 10% of the total. Thus, the people who got a promotion but did not take a vacation is (100-50-25-10)%, i.e. 15%. This means that the number of people who got a promotion is 35% of the total.

Thus, both statements considered together are SUFFICIENT.

The correct % of people who got a promotion is 40%. Had this been a PS question, even this mistake in the last step would have led to you marking a wrong answer choice.

Mechmeera: This 25% number refers to the number of employees who took a vacation AND got a promotion. What about the employees who didn't take a vacation and got a promotion?

Mechmeera wrote:

To make things simpler let us assume employees at a firm be 100.
employees who took vacation are 75.
1. this statement gives the information that the no of employees who took vacation and ( out of those1/3) who received promotion is 25. thereby it is 25% percent of the employees received a promotion. Stmt 1 is sufficient.

rohitd80: You got the answer right but please have a look at the red part in your solution below. The correct equation would have been 50 = 5x. This would have led you to the total % of promoted people = 40%

rohitd80 wrote:

2)
Given 50 is 500% of No Vacay folks who didn't get promoted
So 25 folks took no vacay…some got promoted and some did not.
Let x be the # of folks in the category of no vacay + no promo
so, 50 = 5 * (25-x)….hence, x = 15.....Again 2 alone is not sufficient to answer

1) + 2)
So, in total how many people got promoted = 10+25
Thus, 35% got promoted & Therefore both statements considered together are SUFFICIENT.

anewbeginning: You were absolutely right! :-D

I hope you guys found this discussion useful!

Japinder

Thanks for the pointing the mistake.
I somehow missed it.

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anandch1994

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Re: If 25% of the employees at a firm did not take a vacation last year, [#permalink]

01 Jan 2019, 08:37

EgmatQuantExpert wrote:

The correct answer is Option C

The information given in the question statement can be tabulated as below.

From St. 1:

This is clearly not sufficient.

From St. 2:

Not Sufficient

Combining Statements 1 and 2:

5Y = 50

So, Y = 10%
Therefore, X = 40%

Sufficient.

I Egmat, I am unable to look at the images that have been posted. I tried refreshing and opening it in chrome as well as internet explorer. It will be really helpful if you can pst he images again

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Re: If 25% of the employees at a firm did not take a vacation last year, [#permalink]

15 Jun 2020, 08:33

EgmatQuantExpert wrote:

The correct answer is Option C

The information given in the question statement can be tabulated as below:

From St. 1:

This is clearly not sufficient.

From St. 2:

Not Sufficient

Combining Statements 1 and 2:

5Y = 50

So, Y = 10%
Therefore, X = 40%

Sufficient.

Hi, the images seem to be corrupted or unavailable.
Can you please update the URLs?
Thanks!

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Mona2019

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Re: If 25% of the employees at a firm did not take a vacation last year, [#permalink]

25 Aug 2020, 00:36

EgmatQuantExpert ,

Hi, I am unable to view the images in your explanation. Please help.

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RahulRajIN1988

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Re: If 25% of the employees at a firm did not take a vacation last year, [#permalink]

25 Sep 2021, 12:46

EgmatQuantExpert wrote:

The correct answer is Option C

The information given in the question statement can be tabulated as below:

From St. 1:

This is clearly not sufficient.

From St. 2:

Not Sufficient

Combining Statements 1 and 2:

5Y = 50

So, Y = 10%
Therefore, X = 40%

Sufficient.

Hi,
The word 'only' in the first statement is creating some confusion. The statement can mean -> Promoted = Only (1/3 rd of Vaccinated)
Statement 2 doesn't mention when they got vaccinated - last year, year before it or this year?

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Re: If 25% of the employees at a firm did not take a vacation last year, [#permalink]

20 Jun 2023, 10:43

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Re: If 25% of the employees at a firm did not take a vacation last year, [#permalink]

20 Jun 2023, 10:43

GMAT Data Sufficiency (DS) Questions

If 25% of the employees at a firm did not take a vacation last year,