gmat preparation courses

It is currently Wed Sep 26, 2018 11:41 am

All times are UTC - 5 hours [ DST ]




Post new topic Reply to topic  [ 7 posts ] 
Author Message
 Post subject: GMAT Percentage
PostPosted: Thu Dec 09, 2010 8:28 pm 
Offline

Joined: Sun May 30, 2010 3:15 am
Posts: 424
Certain stocks in January were 10% less than they were in February and 20% greater than they were in March. What was the percentage decrease in the stocks from February to March?

A. 5%
B. 10%
C. 20%
D. 25%
E. 50%

(D) Let us denote the amount of the stocks by x and y in February and in March respectively. In January the stocks were 0.9x on the one hand and 1.2y on the other. Therefore we can write the equality:
0.9x = 1.2y
y/x = 0.9/1.2 = 3/4 = 0.75
Therefore the percentage decrease was 100% – 75% = 25%.

The correct answer is D.
-------------

It is not clear that both relative differences are referring to the same reference point.


Top
 Profile  
 
 Post subject: Re: math (test 1, question 17): percentages
PostPosted: Thu Dec 09, 2010 8:40 pm 
Offline

Joined: Sun May 30, 2010 2:23 am
Posts: 498
Such assumption follows from the characteristic itself, since this characteristic is compared in months.
There is no sense in comparing stocks on January, 31st and February 1st. Otherwise, it would be specified.
This monthly parameter could be measured on the same day, or it could be some kind of average, etc. In any case, the way it is stated in the problem implies that we should refer to it as to monthly parameter.


Top
 Profile  
 
 Post subject: Re: math (test 1, question 17): percentages
PostPosted: Sat Jun 04, 2011 5:22 pm 
Offline

Joined: Sun May 30, 2010 3:15 am
Posts: 424
I was confused with this question, I'm not sure if the wording threw me off. I took it as stocks were X in february, .9X in Jan, and (.8)(.9)X in March, so the difference from Feb to March was 100 – 72. Can you please explain further? Thanks!


Top
 Profile  
 
 Post subject: Re: math (test 1, question 17): percentages
PostPosted: Sat Jun 04, 2011 5:31 pm 
Offline

Joined: Sun May 30, 2010 2:23 am
Posts: 498
Quote:
I took it as stocks were X in february, .9X in Jan, and (.8)(.9)X in March
You should always keep in mind what the base of a comparison is.

If the stocks were X in February, then in January they were 0.9X. That is correct, since the base for this comparison are the stocks in February.

But the base for comparison of the stocks in January and in March are the stocks in March. So the stocks in January make (100% + 20%) = 120% of the stocks in March. Therefore the formula for the stocks in March is (0.9X)/1.2 = 0.75x. In other words the stocks in March make 75% of the stocks in February. The decrease was 100% – 75% = 25%.

P.S. The formula "(.8)(.9)X" would be TRUE, IF the question statement was "The stocks in March were 20% less than the stocks in January." In this case the base for the comparison (100%) would be the stocks in January.
Try to feel the difference between that statement and the original one "... stocks in January were ... 20% greater than they were in the March".


Top
 Profile  
 
 Post subject: Re: GMAT Percentages
PostPosted: Mon Oct 01, 2012 6:19 pm 
Offline

Joined: Thu Dec 06, 2012 5:19 pm
Posts: 9
Hello and thanks for the help. I'm having a hard time understanding the wording of this question, as well as your explanation. Can you explain this question, giving dollar values for January, Feb and March?


Top
 Profile  
 
 Post subject: Re: GMAT Percentages
PostPosted: Mon Oct 01, 2012 6:27 pm 
Offline

Joined: Sun May 30, 2010 2:23 am
Posts: 498
Quote:
Can you explain this question, giving dollar values for January, Feb and March?
Let's assume the stocks in February were $100, then
Quote:
Certain stocks in January were 10% less than they were in February
yields that stocks in January were 90% × $100 = $90
Let's calculate the value in March. The question statement says
Quote:
Certain stocks in January were … 20% greater than they were in March.
This yields $90 = 120% × March
March = $90 / 1.2
March = $75

Now we have all the values:
January – $90
February – $100
March – $75

The question asks
Quote:
What was the percentage decrease in the stocks from February to March?
The base is February. The value in March is $75 / $100 = 75% of the value in February. So the decrease is %100 – %75 = %25


Top
 Profile  
 
 Post subject: Re: GMAT Percentages
PostPosted: Sat Oct 06, 2012 12:04 pm 
This is valuable message


Top
  
 
Display posts from previous:  Sort by  
Post new topic Reply to topic  [ 7 posts ] 

All times are UTC - 5 hours [ DST ]


Who is online

Users browsing this forum: No registered users and 9 guests


You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot post attachments in this forum

Search for:
Jump to:  
cron
Powered by phpBB © 2000, 2002, 2005, 2007 phpBB Group