NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 18:42 It is currently 24 Apr 2024, 18:42
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If the productivity of a brigade increases by 10% with the addition of

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
GK_Gmat
Senior Manager
Senior Manager
Joined: 09 Aug 2006
Posts: 351
Own Kudos [?]: 975 [22]
Given Kudos: 0
Send PM
If the productivity of a brigade increases by 10% with the addition of [#permalink] New post   07 Jan 2008, 09:14
22
Bookmarks
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

75% (01:18) correct 25% (01:32) wrong based on 501 sessions
Hide Show timer Statistics
If the productivity of a brigade increases by 10% with the addition of each worker, which of the following is the ratio of the productivity of a 12-person brigade to a 10-person brigade?

A. 0.21
B. 0.82
C. 1.20
D. 1.21
E. 1.44

Experience a GMAT Club Test Questions
Yes, you've landed on a GMAT Club Tests question
Craving more? Unlock our full suite of GMAT Club Tests here
Want to experience more? Get a taste of our tests with our free trial today
Rise to the challenge with GMAT Club Tests. Happy practicing!
GMAT Club Tests Check Our Products Try Free Tests
ShowHide Answer
Official Answer
D
Most Helpful Reply
User avatar
L
KarishmaB
Tutor
Joined: 16 Oct 2010
Posts: 14817
Own Kudos [?]: 64903 [7]
Given Kudos: 426
Location: Pune, India
Send PM
Re: If the productivity of a brigade increases by 10% with the addition of [#permalink] New post   16 May 2013, 08:42
7
Kudos
Expert Reply
Stiv wrote:
This is the question from GMATClub test. The explanation from the solution of the question is excellent, but I want to know is there more than one way to solve this question.

On the GMATClub test the explanation is next:
B = 10-men brigade
p = increase in the productivity = 10%

Solution: B x p = B x 1.1 = 1.1B -------> the productivity of 11 men brigade
1.1B x p = 1.1B x 1.1 = 1.21B -----> the productivity of 12 men brigade

The ratio of the productivity of a 12-men brigade to that of a 10-men brigade = 1.21B/B = 1.21


In percentages, you can assume a value of 100. It simplifies the thought process.

If you increase the brigade by 1 worker, productivity grows by 10%. So say initial productivity is 100. If one more worker joins, productivity will be 110. If one more joins it will be 121 etc.
Ratio of productivity of 12 person to 10 person must be 121/100 = 1.21 (whenever there is a difference of 2 in the number of people, the ratio of productivity will be 1.21 assuming positive number of people)


Also, this is a successive percentage increase so you can use the formula: a + b + ab/100 = 10 + 10 + 10*10/100 = 21% increase.
Hence the required ratio is 121/100 = 1.21
General Discussion
User avatar
sondenso
Director
Director
Joined: 04 May 2006
Posts: 866
Own Kudos [?]: 6809 [4]
Given Kudos: 1
Concentration: Finance
Schools:CBS, Kellogg
Send PM
Re: If the productivity of a brigade increases by 10% with the addition of [#permalink] New post   07 Jan 2008, 19:19
2
Kudos
2
Bookmarks
GK_Gmat wrote:
The productivity of a brigade grows by 10% when the number of the workers in the brigade is increased by one. Which of the following is closest to the ratio of the productivity of a 12-men brigade to that of a 10-men brigade?
0.21
0.82
1.20
1.21
1.44

Can someone please explain why C is wrong? Thanks.


D,
productivity of a 10-men brigade assumed is 10
when added 1 man, it is increasing by 10*1.1 =11
when added 1 more, it s increasing by 11*1.1 =12.1= productivity of a 12-men brigade
so, the ratio=12.1/10 =1.21
User avatar
Stiv
Manager
Manager
Joined: 16 Feb 2012
Posts: 126
Own Kudos [?]: 2065 [0]
Given Kudos: 121
Concentration: Finance, Economics
Send PM
GMAT ToolKit User
Re: If the productivity of a brigade increases by 10% with the addition of [#permalink] New post   15 May 2013, 22:53
This is the question from GMATClub test. The explanation from the solution of the question is excellent, but I want to know is there more than one way to solve this question.

On the GMATClub test the explanation is next:
B = 10-men brigade
p = increase in the productivity = 10%

Solution: B x p = B x 1.1 = 1.1B -------> the productivity of 11 men brigade
1.1B x p = 1.1B x 1.1 = 1.21B -----> the productivity of 12 men brigade

The ratio of the productivity of a 12-men brigade to that of a 10-men brigade = 1.21B/B = 1.21
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18756
Own Kudos [?]: 22049 [1]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: If the productivity of a brigade increases by 10% with the addition of [#permalink] New post   01 Jul 2019, 17:20
1
Bookmarks
Expert Reply
GK_Gmat wrote:
If the productivity of a brigade grows by 10% when the number of the workers in the brigade is increased by one, then which of the following is closest to the ratio of the productivity of a 12-person brigade to that of a 10-person brigade?

A. 0.21
B. 0.82
C. 1.20
D. 1.21
E. 1.44


We can let a 10-person brigade’s productivity be 100; thus, a 11-person brigade’s productivity will be 100 x 1.1 = 110, and a 12-person brigade’s productivity will be 110 x 1.1 = 121. Therefore, the ratio is 121/100 = 1.21.

Answer: D
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92900
Own Kudos [?]: 618820 [0]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
Re: If the productivity of a brigade increases by 10% with the addition of [#permalink] New post   20 Oct 2023, 13:26
Expert Reply
If the productivity of a brigade increases by 10% with the addition of each worker, which of the following is the ratio of the productivity of a 12-person brigade to a 10-person brigade?

A. 0.21
B. 0.82
C. 1.20
D. 1.21
E. 1.44


Let's assume the productivity of a 10-person brigade is 1. Then, the productivity of a 12-person brigade would be \(1.1*1.1 = 1.21\).

Therefore, the desired ratio is \(\frac{1.21}{1} = 1.21\).


Answer: D
GMAT Club Bot
gmatclubot
Re: If the productivity of a brigade increases by 10% with the addition of [#permalink]
20 Oct 2023, 13:26
Moderators:
Bunuel
Math Expert
92900 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions