Asad wrote:
Bunuel wrote:
From 2000 to 2003, the number of employees at a certain company increased by a factor of 1/4. From 2003 to 2006, the number of employees at this company decreased by a factor of 1/3. If there were 100 employees at the company in 2006, how many employees were there at the company in 2000 ?
A. 200
B. 120
C. 100
D. 75
E. 60
NEW question from GMAT® Official Guide 2019
(PS15957)
Hello Experts,
EMPOWERgmatRichC,
VeritasKarishma,
IanStewart,
Bunuel,
chetan2u,
ArvindCrackVerbal,
GMATGuruNY,
AaronPond,
GMATinsightWe can cancel choice D (75) because if 1/4 of 75 is not an integer-people has to be integer. Can we also cancel choice E (60) by this way?
Also, appreciating your help if you put an insight so that we can visually cancel the most choices.
Thanks__
Hello Asad,
IMHO, you should never eliminate answer options based on how they look. Looks can be deceptive.
What you should look at is to eliminate answer options based on your understanding of the constraints in the question, like how you have done with 75. The reason that you have provided to eliminate 75 is a sound one as well.
However, there’s much more to this question. You are increasing the value in 2000 by\(\frac{ 1}{4}\)th and then reducing the resultant value by \(\frac{1}{3}\)rd. This means that the resultant value should be a multiple of 3 and 4 both i.e. it should be a multiple of 12. This is a stronger constraint. Based on this, you can eliminate answer options A, C and D.
Of the two options left i.e. B and E, 60 can be eliminated based on its magnitude – increasing 60 by\(\frac{ 1}{4}\)th takes us to 75 and reducing it by \(\frac{1}{3}\)rd takes us down to 50. Answer option E can be eliminated.
The correct answer option has to be B.
From the above, we see that after doing the two percentage change operations, we got 50. But, we are supposed to get 100 which is exactly double of 50. Therefore, double of 60 i.e. 120 should be our answer, which is indeed answer option B.
Hope that helps!
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