The price of an automobile decreased m percent between 2010 : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 24 Feb 2017, 19:40

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# The price of an automobile decreased m percent between 2010

Author Message
TAGS:

### Hide Tags

Manager
Status: Never ever give up on yourself.Period.
Joined: 23 Aug 2012
Posts: 152
Location: India
Concentration: Finance, Human Resources
GMAT 1: 570 Q47 V21
GMAT 2: 690 Q50 V33
GPA: 3.5
WE: Information Technology (Investment Banking)
Followers: 10

Kudos [?]: 314 [0], given: 35

The price of an automobile decreased m percent between 2010 [#permalink]

### Show Tags

14 Dec 2012, 08:19
3
This post was
BOOKMARKED
00:00

Difficulty:

65% (hard)

Question Stats:

62% (02:29) correct 38% (02:55) wrong based on 73 sessions

### HideShow timer Statistics

The price of an automobile decreased m percent between 2010 and 2011 and then increased n percent between 2011 and 2012. Was the price of the automobile lower in 2010 than in 2012?

(1) m < n
(2) mn < 100n – 100m
[Reveal] Spoiler: OA

_________________

Don't give up on yourself ever. Period.
Beat it, no one wants to be defeated (My journey from 570 to 690) : http://gmatclub.com/forum/beat-it-no-one-wants-to-be-defeated-journey-570-to-149968.html

Math Expert
Joined: 02 Sep 2009
Posts: 37108
Followers: 7254

Kudos [?]: 96543 [1] , given: 10753

Re: The price of an automobile decreased m percent between 2010 [#permalink]

### Show Tags

14 Dec 2012, 08:51
1
KUDOS
Expert's post
The price of an automobile decreased m percent between 2010 and 2011 and then increased n percent between 2011 and 2012. Was the price of the automobile lower in 2010 than in 2012?

The price in 2010 - $$p$$;
The price in 2011 - $$p*(1-\frac{m}{100})$$;
The price in 2012 - $$p*(1-\frac{m}{100})*(1+\frac{n}{100})$$;

Question: is $$p<p*(1-\frac{m}{100})*(1+\frac{n}{100})$$? --> is $$1<(1-\frac{m}{100})*(1+\frac{n}{100})$$? --> is $$100n-100m>mn$$?

(1) m < n. Not sufficient.
(2) mn < 100n – 100m. Directly answers the question. Sufficient.

Identical question from OG to practice: the-annual-rent-collected-by-a-corporation-from-a-certain-89184.html
_________________
Moderator
Joined: 01 Sep 2010
Posts: 3138
Followers: 807

Kudos [?]: 6779 [0], given: 1050

Re: The price of an automobile decreased m percent between 2010 [#permalink]

### Show Tags

14 Dec 2012, 11:14
1 ) is clearly insufficient

2) $$MN$$ $$<$$ $$100 N - 100 M$$

here a faster approach is simply pickying a %. for instance: first we have a decrease so we could have 0.8 % (decrease by 20%) the an increse %, for instance 1.2 % (increase by 20 %).

Always the LHS is not smaller than the RHS

$$0.96 < 0.4$$ The answer, even with other numbers will be always NO. So is sufficient

_________________
BSchool Forum Moderator
Joined: 27 Aug 2012
Posts: 1196
Followers: 131

Kudos [?]: 1525 [0], given: 143

Re: The price of an automobile decreased m percent between 2010 [#permalink]

### Show Tags

13 Sep 2013, 00:07
Bunuel wrote:
The price of an automobile decreased m percent between 2010 and 2011 and then increased n percent between 2011 and 2012. Was the price of the automobile lower in 2010 than in 2012?

The price in 2010 - $$p$$;
The price in 2011 - $$p*(1-\frac{m}{100})$$;
The price in 2012 - $$p*(1-\frac{m}{100})*(1+\frac{n}{100})$$;

Question: is $$p<p*(1-\frac{m}{100})*(1+\frac{n}{100})$$? --> is $$1<(1-\frac{m}{100})*(1+\frac{n}{100})$$? --> is $$100n-100m>mn$$?

(1) m < n. Not sufficient.
(2) mn < 100n – 100m. Directly answers the question. Sufficient.

Identical question from OG to practice: the-annual-rent-collected-by-a-corporation-from-a-certain-89184.html

Hi Bunuel,
How we can say that Stat.1 is NOT sufficient even without plugging in values? I'm getting it clear by plugging values but what I'd like to know is there any faster way to determine the sufficiency of Stat.1 from the inequality?

_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13957
Followers: 590

Kudos [?]: 167 [0], given: 0

Re: The price of an automobile decreased m percent between 2010 [#permalink]

### Show Tags

01 Dec 2016, 13:13
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: The price of an automobile decreased m percent between 2010   [#permalink] 01 Dec 2016, 13:13
Similar topics Replies Last post
Similar
Topics:
1 What was the percent decrease in the price of MegaTek (MGTK) stock dur 4 21 Aug 2016, 03:24
A car dealer purchased a car for m percent less than its list price, a 3 03 Nov 2015, 12:49
13 If a number N is decreased by p percent and then the resulting value 14 01 Oct 2015, 05:32
If the price of a magazine is to be doubled, by what percent 8 08 Jul 2010, 03:04
If the value of a piece of property decreases by 10 percent 6 08 Aug 2007, 06:22
Display posts from previous: Sort by