|
Author |
Message |
|
TAGS:
|
|
|
Director
Joined: 07 Jun 2004
Posts: 638
Location: PA
Followers: 1
Kudos [?]:
60
[3] , given: 22
|
Exactly 14% of the reporters for a certain wire service [#permalink]
 12 Jan 2011, 16:53
3
This post received
KUDOS
Question Stats:
48% (02:03) correct
51% (02:16) wrong based on 0 sessions
Exactly 14% of the reporters for a certain wire service cover local politics in Country X. If 30% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics? (A) 20% (B) 42% (C) 44% (D) 80% (E) 84%
_________________
If the Q jogged your mind do Kudos me : )
|
|
|
|
|
|
|
GMAT Club team member
Joined: 02 Sep 2009
Posts: 11610
Followers: 1800
Kudos [?]:
9593
[2] , given: 828
|
Re: Tough percent problem [#permalink]
12 Jan 2011, 17:07
2
This post received
KUDOS
rxs0005 wrote: Exactly 14% of the reporters for a certain wire service cover local politics in Country X. If 30% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics?
(A) 20%
(B) 42%
(C) 44%
(D) 80%
(E) 84% Let's assume there are 100 reporters --> 14 reporters cover local politics. Now, as 30% of the reporters who cover all politics do not cover local politics then the rest 70% of the reporters who cover politics do cover local politics, so if there are x reporters who cover politics then 70% of them equal to 14 (# of reporters who cover local politics): 0.7x=14 --> x=20, hence 20 reporters cover politics and the rest 100-20=80 reporters do not cover politics at all. Answer: D.
_________________
PLEASE READ AND FOLLOW: 11 Rules for Posting!!!
RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory
COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!!
DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!
What are GMAT Club Tests?
25 extra-hard Quant Tests
Find out what's new at GMAT Club - latest features and updates
|
|
|
|
|
|
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 3113
Location: Pune, India
Followers: 572
Kudos [?]:
2014
[2] , given: 92
|
Re: Tough percent problem [#permalink]
12 Jan 2011, 20:02
2
This post received
KUDOS
rxs0005 wrote: Exactly 14% of the reporters for a certain wire service cover
local politics in Country X. If 30% of the reporters who cover
politics for the wire service do not cover local politics in
Country X, what percent of the reporters for the wire service
do not cover politics?
(A) 20%
(B) 42%
(C) 44%
(D) 80%
(E) 84% The wording does try to confuse you. Another method would be to take one sentence at a time and analyze its information. e.g. Exactly 14% of the reporters for a certain wire service cover local politics in Country X(14/100) * R = R_{LocPol}If 30% of the reporters who cover politics for the wire service do not cover local politics in Country X(This means 30% politics reporters cover non-local politics) (30/100) * R_{Pol} = R_{NonLocPol)what percent of the reporters for the wire service do not cover politics?We know, R_{LocPol} + R_{NonLocPol} = R_{Pol} So, (\frac{14}{100})*R + (\frac{30}{100})*R_{Pol} = R_{Pol} (Using left hand sides of equations above) We get R_{Pol} = (\frac{20}{100})*RSo, 80% reporters do not cover Politics.
_________________
Karishma
Veritas Prep | GMAT Instructor
My Blog
Save 10% on Veritas Prep GMAT Courses And Admissions Consulting
Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options.
Veritas Prep Reviews
|
|
|
|
|
|
Manager
Status: Preparing myself to break the sound( 700 )-barrier!
Affiliations: IFC - Business Edge, Bangladesh Enterprise Institute
Joined: 15 Feb 2011
Posts: 210
Location: Dhaka, Bangladesh
Schools: Texas A&M - Mays; PennState - Smeal; Purdue - Krannert; JohnsHopkins - Carey; Vanderbilt - Owen; WakeForest - Babcock; UBC - Sauder
WE 1: Financial Analyst/Financial Management Trainer - BRAC Afghanistan - 13 months
WE 2: Business Proposal Coordinator - MiDS, Inc. (in Kabul, Afghanistan) - 4 Months (did quit the job bcoz of security concerns)
WE 3: Readers For Readers (A Social Impact Generating Organization) - Co-Founder
Followers: 5
Kudos [?]:
17
[0], given: 136
|
Re: Tough percent problem [#permalink]
04 Jun 2011, 03:07
VeritasPrepKarishma wrote: rxs0005 wrote: Exactly 14% of the reporters for a certain wire service cover
local politics in Country X. If 30% of the reporters who cover
politics for the wire service do not cover local politics in
Country X, what percent of the reporters for the wire service
do not cover politics?
(A) 20%
(B) 42%
(C) 44%
(D) 80%
(E) 84% The wording does try to confuse you. Another method would be to take one sentence at a time and analyze its information. e.g. Exactly 14% of the reporters for a certain wire service cover local politics in Country X(14/100) * R = R_{LocPol}If 30% of the reporters who cover politics for the wire service do not cover local politics in Country X(This means 30% politics reporters cover non-local politics) (30/100) * R_{Pol} = R_{NonLocPol)what percent of the reporters for the wire service do not cover politics?We know, R_{LocPol} + R_{NonLocPol} = R_{Pol} So, (\frac{14}{100})*R + (\frac{30}{100})*R_{Pol} = R_{Pol} (Using left hand sides of equations above) We get R_{Pol} = (\frac{20}{100})*RSo, 80% reporters do not cover Politics. AWESOME! WOW! Thanks, Karishma! Actually, I was stuck in this problem's solution for a long time. Hooooooooffffffff! Feeling relieved after going through your explanation!
|
|
|
|
|
|
SVP
Joined: 16 Nov 2010
Posts: 1721
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 26
Kudos [?]:
228
[0], given: 34
|
Re: Tough percent problem [#permalink]
04 Jun 2011, 20:14
Let total reporters = R and # of reporters who cover local politics = R So we need to find 1 - R/N Now 0.14R = Cover local politics in country X And 0.30N don't cover local politics in country X => 0.70N cover cover local politics in country X => 0.70N = 0.14R => N/R = 1/5 => 1 - N/R = 4/5 So percent of the reporters for the wire service do not cover politics = 4/5 * 100 = 80% Answer - D
_________________
Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)
Find out what's new at GMAT Club - latest features and updates
|
|
|
|
|
|
Senior Manager
Joined: 24 Mar 2011
Posts: 479
Location: Texas
Followers: 4
Kudos [?]:
33
[0], given: 20
|
Re: Tough percent problem [#permalink]
04 Jun 2011, 23:20
Consider there are x reporters in wire service. 14% cover local politics i.e. = 0.14x Consider there are 100 reporters covering politics; of which non-local politics = 30 0.14x + 30 = 100 x = 500 total reporters # of reporters do not cover politics = 500-100 = 400 so # of reports do not cover politics / # of total reporters = 400/500 = 80%
Attachments
Reporters.JPG [ 13.26 KiB | Viewed 2326 times ]
|
|
|
|
|
|
Manager
Joined: 08 Sep 2010
Posts: 176
Followers: 0
Kudos [?]:
9
[1] , given: 18
|
Re: Tough percent problem [#permalink]
11 Jun 2011, 16:21
1
This post received
KUDOS
Let Total reporters = 100 Out of these 100 suppose 'x' cover politics So 100-x do not cover politics Now out of the ones who cover politics 70% cover local politics and 30% do not cover local politics So number that covers local politics = 0.7x 0.7x = 14 so x = 20 So out of 100 there are 20 reporters that cover politics so 80% do not cover politics
_________________
My will shall shape the future. Whether I fail or succeed shall be no man's doing but my own.
If you like my explanations award kudos.
|
|
|
|
|
|
VP
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1400
Followers: 8
Kudos [?]:
84
[0], given: 10
|
Re: Tough percent problem [#permalink]
13 Jun 2011, 00:49
0.7x = 14 gives x = 20 thus !politics = 100-20 = 80
_________________
Visit -- http://www.sustainable-sphere.com/
Promote Green Business,Sustainable Living and Green Earth !!
|
|
|
|
|
|
Manager
Joined: 19 Oct 2010
Posts: 242
Location: India
Concentration: Marketing, Finance
GMAT 1: 560 Q36 V31
GPA: 3
Followers: 5
Kudos [?]:
10
[0], given: 21
|
Re: Tough percent problem [#permalink]
10 Sep 2011, 01:01
The answer is 80%. A similar problem, although relatively simpler, if some of you want to work out, is available here: motorists-13233.html#p973017
_________________
petrifiedbutstanding
|
|
|
|
|
|
Intern
Joined: 29 Jan 2011
Posts: 17
Location: India
Concentration: Finance, Marketing
GMAT Date: 11-20-2011
GPA: 3.6
WE: Business Development (Other)
Followers: 0
Kudos [?]:
7
[1] , given: 7
|
Re: Tough percent problem [#permalink]
29 Dec 2011, 11:57
1
This post received
KUDOS
All Reporters (assume 100) = Cover Politics (assume x) + Do not Cover Politics (100 -x) Cover Politics = Cover Local Politics (14% of all reporters or 70% of reporters covering politics) + Do not Cover Local Politics (30% of reporters covering politics, 30% of x) So 14% of all reporters = 70% of x 14 = 70% of x x = 20 Do not cover Politics = 100 -20 = 80…percentage 80%
Attachments
Politics Reporter.JPG [ 18.26 KiB | Viewed 1076 times ]
Last edited by RSG on 30 Dec 2011, 10:40, edited 2 times in total.
|
|
|
|
|
|
Senior Manager
Joined: 13 May 2011
Posts: 326
WE 1: IT 1 Yr
WE 2: Supply Chain 5 Yrs
Followers: 16
Kudos [?]:
112
[0], given: 10
|
Re: Tough percent problem [#permalink]
30 Dec 2011, 03:19
using attached matrix: we have to find the y. .3x=X-14 So, X=20 Therefore, Y=80 80%
Attachments
politics.jpg [ 16.41 KiB | Viewed 1096 times ]
|
|
|
|
|
|
Manager
Joined: 23 Aug 2011
Posts: 83
Followers: 3
Kudos [?]:
19
[0], given: 13
|
Re: Tough percent problem [#permalink]
13 Aug 2012, 11:48
BDSunDevil wrote: using attached matrix:
we have to find the y.
.3x=X-14
So, X=20
Therefore, Y=80
80% Thanks every one, for the explanation. I used the same table as BDsunDevil used only difference being i put "14" in the slot "total local politics" rather than in slot "Both politics and local politics" whic is not explicitly mentioned but is derived (14-0=14). It would have been better if "0" was logged under non politics tab in the table, just for better clarity. Please correct me if I'M wrong. Initially, I was also confused about this line "Exactly 14% of the reporters for a certain wire service cover local politics in Country X." . I took 14% to be the total local politics and completely ignored the fact that there can't be any local politics under non politics column.
Attachments
politics.jpg [ 20.71 KiB | Viewed 592 times ]
_________________
Whatever one does in life is a repetition of what one has done several times in one's life!
If my post was worth it, then i deserve kudos 
|
|
|
|
|
|
|
Re: Tough percent problem
[#permalink]
13 Aug 2012, 11:48
|
|
|
|
|
|
|
|
|
|
|
close
