Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 18 Jul 2019, 10:28

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

In 2008, a certain factory produced 30% more widgets

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Intern
Intern
avatar
Joined: 18 Apr 2011
Posts: 38
Location: United States
WE: Information Technology (Computer Software)
GMAT ToolKit User
In 2008, a certain factory produced 30% more widgets  [#permalink]

Show Tags

New post 24 Nov 2012, 08:28
4
12
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

49% (02:02) correct 51% (02:04) wrong based on 428 sessions

HideShow timer Statistics


In 2008, a certain factory produced 30% more widgets than it did in 2007, and its production in 2009 was 130% of its production in 2008. By approximately what percent would its production need to decrease the following year for the factory to produce the same number of widgets it did in 2007?

A. 30%
B. 39%
C. 41%
D. 69%
E. 169%
Most Helpful Community Reply
VP
VP
User avatar
Joined: 02 Jul 2012
Posts: 1153
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: In 2008, a certain factory produced 30% more widgets  [#permalink]

Show Tags

New post 24 Nov 2012, 12:13
8
1
joylive wrote:
In 2008, a certain factory produced 30% more widgets than it did in 2007, and its production in 2009 was 130% of its production in 2008. By approximately what percent would its production need to decrease the following year for the factory to produce the same number of widgets it did in 2007?
A. 30%
B. 39%
C. 41%
D. 69%
E. 169%


Lets assume no. of widgets in 07 = 100
Number of widgets in 08 = 130
Number of widgets in 09 = 169


Decrease required = \(\frac{169-100}{169} = \frac{69}{169}\)

= 41%

Answer is C.

Kudos Please... If my post helped.
_________________
Did you find this post helpful?... Please let me know through the Kudos button.

Thanks To The Almighty - My GMAT Debrief

GMAT Reading Comprehension: 7 Most Common Passage Types
General Discussion
Intern
Intern
avatar
Status: Life begins at the End of your Comfort Zone
Joined: 31 Jul 2011
Posts: 43
Location: Tajikistan
Concentration: General Management, Technology
GPA: 3.86
Re: In 2008, a certain factory produced 30% more widgets  [#permalink]

Show Tags

New post 24 Nov 2012, 12:11
1
1
That would be (C), the thoughts behind my choice set forth below:
Let it be:
2007 - x
2008 - x+0.3x=1.3x
2009 - 1.3x*1.3=1.69x
2010 - (x-1.69x)/1.69x = - 0.69x/1.69x = -0.408~-41%
_________________
God loves the steadfast.
Manager
Manager
avatar
Status: How easy it is?
Joined: 09 Nov 2012
Posts: 88
Location: India
Concentration: Operations, General Management
GMAT 1: 650 Q50 V27
GMAT 2: 710 Q49 V37
GPA: 3.5
WE: Operations (Other)
GMAT ToolKit User Reviews Badge
Re: In 2008, a certain factory produced 30% more widgets  [#permalink]

Show Tags

New post 24 Sep 2014, 08:27
The question is pretty easy, but if someone could highlight how to approximate 69/169 to 41%? There is a close answer choice of 39% as well, this takes up a lot of time in a real test and you end up getting a supposedly easy question wrong!
Retired Moderator
avatar
B
Status: On a mountain of skulls, in the castle of pain, I sit on a throne of blood.
Joined: 30 Jul 2013
Posts: 304
GMAT ToolKit User Reviews Badge
Re: In 2008, a certain factory produced 30% more widgets  [#permalink]

Show Tags

New post 24 Sep 2014, 09:21
1
1
nitin6305 wrote:
The question is pretty easy, but if someone could highlight how to approximate 69/169 to 41%? There is a close answer choice of 39% as well, this takes up a lot of time in a real test and you end up getting a supposedly easy question wrong!


(69+1)/(169+1)>69/169
70/170>69/169
7/17>69/169
0.411>69/169

Therefore, 69/169 is slightly less than 0.411 or almost 0.41 (41%)
GMAT Tutor
avatar
G
Joined: 24 Jun 2008
Posts: 1728
In 2008, a certain factory produced 30% more widgets  [#permalink]

Show Tags

New post 24 Sep 2014, 10:00
3
nitin6305 wrote:
The question is pretty easy, but if someone could highlight how to approximate 69/169 to 41%? There is a close answer choice of 39% as well, this takes up a lot of time in a real test and you end up getting a supposedly easy question wrong!


I don't think you'll ever need to worry about this on the real GMAT - in real GMAT questions asking for estimates, the answers will usually be far enough apart that you can actually estimate fairly easily. But even in this case, there are a couple of interesting techniques we can use to bypass long division.

Here, if you can tell the right answer choice is either 39% or 41%, you really just need to know if 69/169 > 0.4 to pick the right answer. There are a few ways to make that decision quickly. You might locate a fraction which is exactly equal to 4/10 and that looks similar to 69/169. Notice if we multiply by 17 in the numerator and denominator, we find that 4/10 = 68/170. But notice now that 69/169 > 68/170, since 69/169 has both a larger numerator and a smaller denominator than 68/170. So 69/169 > 0.4, and 0.41 is a better estimate than 0.39.

Or you could notice that (0.4)*169/169 is exactly equal to 0.4 (just cancel the 169), and is exactly equal to 67.6/169. Since this is clearly smaller than 69/169, we can see that 69/169 is larger than 0.4.

If you prefer to avoid decimals, you can instead write down the following inequality (this method is mathematically the same as the one above, though) :

69/169 > 4/10

We want to know if this is true. If it is, then when we rewrite it, what we arrive at must be true. If you multiply by 169 and 10 on both sides, you find

690 > 4*169 = 676

and since this is true, the original inequality was true as well.

If you know that rounding 69/169 to 70/170 = 7/17 has only a negligible influence on the overall value of the fraction, then the above techniques are even easier to apply, but I've not done that here since it may not be clear how much that approximation will affect the fraction's value.
_________________
GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6923
Location: United States (CA)
Re: In 2008, a certain factory produced 30% more widgets  [#permalink]

Show Tags

New post 19 May 2017, 06:19
1
joylive wrote:
In 2008, a certain factory produced 30% more widgets than it did in 2007, and its production in 2009 was 130% of its production in 2008. By approximately what percent would its production need to decrease the following year for the factory to produce the same number of widgets it did in 2007?

A. 30%
B. 39%
C. 41%
D. 69%
E. 169%


We can let the number of widgets produced in 2007 = 100. Thus, in 2008, 1.3 x 100 = 130 widgets were produced, and in 2009, 1.3 x 130 = 169 widgets were produced.

We need to determine the percentage decrease necessary to drop from 169 widgets to 100 widgets. Let’s use the percent change formula:

(100 - 169)/169 x 100% ≈ -40.8%

Answer: C
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Intern
Intern
avatar
B
Joined: 16 May 2018
Posts: 31
Concentration: General Management, Nonprofit
Schools: Haas '21, Tuck '21
GMAT 1: 700 Q50 V37
GPA: 3.9
Re: In 2008, a certain factory produced 30% more widgets  [#permalink]

Show Tags

New post 22 Sep 2018, 14:05
1
ScottTargetTestPrep wrote:
joylive wrote:
In 2008, a certain factory produced 30% more widgets than it did in 2007, and its production in 2009 was 130% of its production in 2008. By approximately what percent would its production need to decrease the following year for the factory to produce the same number of widgets it did in 2007?

A. 30%
B. 39%
C. 41%
D. 69%
E. 169%


We can let the number of widgets produced in 2007 = 100. Thus, in 2008, 1.3 x 100 = 130 widgets were produced, and in 2009, 1.3 x 130 = 169 widgets were produced.

We need to determine the percentage decrease necessary to drop from 169 widgets to 100 widgets. Let’s use the percent change formula:

(100 - 169)/169 x 100% ≈ -40.8%

Answer: C



thank you for sharing this explanation, this is very helpful
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6923
Location: United States (CA)
Re: In 2008, a certain factory produced 30% more widgets  [#permalink]

Show Tags

New post 26 Sep 2018, 10:40
MBAHanover2018 wrote:
ScottTargetTestPrep wrote:
joylive wrote:
In 2008, a certain factory produced 30% more widgets than it did in 2007, and its production in 2009 was 130% of its production in 2008. By approximately what percent would its production need to decrease the following year for the factory to produce the same number of widgets it did in 2007?

A. 30%
B. 39%
C. 41%
D. 69%
E. 169%


We can let the number of widgets produced in 2007 = 100. Thus, in 2008, 1.3 x 100 = 130 widgets were produced, and in 2009, 1.3 x 130 = 169 widgets were produced.

We need to determine the percentage decrease necessary to drop from 169 widgets to 100 widgets. Let’s use the percent change formula:

(100 - 169)/169 x 100% ≈ -40.8%

Answer: C



thank you for sharing this explanation, this is very helpful


My pleasure!
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Intern
Intern
avatar
B
Joined: 15 Dec 2011
Posts: 2
Location: India
Concentration: Strategy, International Business
Re: In 2008, a certain factory produced 30% more widgets  [#permalink]

Show Tags

New post 28 Sep 2018, 20:21
We can let the number of widgets produced in 2007 = 100. Thus, in 2008, 1.3 x 100 = 130 widgets were produced, and in 2009, 1.3 x 130 = 169 widgets were produced.


is this ok??
Intern
Intern
avatar
B
Joined: 21 Jan 2018
Posts: 10
Re: In 2008, a certain factory produced 30% more widgets  [#permalink]

Show Tags

New post 22 Dec 2018, 23:35
ab1 wrote:
We can let the number of widgets produced in 2007 = 100. Thus, in 2008, 1.3 x 100 = 130 widgets were produced, and in 2009, 1.3 x 130 = 169 widgets were produced.


is this ok??


U r getting confused between "30% more produced as compared to 2007" and "130% of its production in 2008". Take a closer look both are same in context of the question.
GMAT Club Bot
Re: In 2008, a certain factory produced 30% more widgets   [#permalink] 22 Dec 2018, 23:35
Display posts from previous: Sort by

In 2008, a certain factory produced 30% more widgets

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne