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If 25% of the employees at a firm did not take a vacation last year,
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Updated on: 07 Aug 2018, 06:43
Question Stats:
64% (02:39) correct 36% (02:35) wrong based on 319 sessions
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Question 3 of The eGMAT Sets TriadIf 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! Previous Question To read all our articles:Must Read articles to reach Q51
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Re: If 25% of the employees at a firm did not take a vacation last year,
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Updated on: 15 May 2015, 00:17



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Re: If 25% of the employees at a firm did not take a vacation last year,
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13 May 2015, 10:42
According to me, the answer is C.
The question says that 25% of the employees did not take a vacation. This can be interpreted as 75% took a vacation.
So the question involves a twovariable Venn diagram.
Statement  1 : 1 in every 3 employees who took a vacation got a promotion. So this means that people who got a promotion as well as took a vacation is 25% of the total. However, there is no information about the people who got only a promotion as well as people who got neither of the two. So, INSUFFICENT.
Statement  2 : The people who took a vacation but did not get a promotion is 500% of the number who neither took a vacation nor got a promotion. This statement is clearly INSUFFICIENT.
Combining both the statements.
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 (100502510)%, 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.



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Re: If 25% of the employees at a firm did not take a vacation last year,
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14 May 2015, 10:57
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,
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14 May 2015, 15:33
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 * (25x)….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,
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15 May 2015, 00:06
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



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Re: If 25% of the employees at a firm did not take a vacation last year,
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15 May 2015, 00:15
kunals31: You answered the question right and your analysis was spoton 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 (100502510)%, 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 * (25x)….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! 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,
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15 May 2015, 00:50
EgmatQuantExpert wrote: kunals31: You answered the question right and your analysis was spoton 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 (100502510)%, 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 * (25x)….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! I hope you guys found this discussion useful! Japinder Thanks for the pointing the mistake. I somehow missed it.



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




Re: If 25% of the employees at a firm did not take a vacation last year,
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01 Jan 2019, 08:37






