Aug 20 08:00 PM PDT  09:00 PM PDT EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299) Aug 20 09:00 PM PDT  10:00 PM PDT Take 20% off the plan of your choice, now through midnight on Tuesday, 8/20 Aug 22 09:00 PM PDT  10:00 PM PDT What you'll gain: Strategies and techniques for approaching featured GMAT topics, and much more. Thursday, August 22nd at 9 PM EDT Aug 24 07:00 AM PDT  09:00 AM PDT Learn reading strategies that can help even nonvoracious reader to master GMAT RC Aug 25 09:00 AM PDT  12:00 PM PDT Join a FREE 1day verbal workshop and learn how to ace the Verbal section with the best tips and strategies. Limited for the first 99 registrants. Register today! Aug 25 08:00 PM PDT  11:00 PM PDT Exclusive offer! Get 400+ Practice Questions, 25 Video lessons and 6+ Webinars for FREE.
Author 
Message 
TAGS:

Hide Tags

Director
Joined: 07 Jun 2004
Posts: 573
Location: PA

Exactly 14% of the reporters for a certain wire service
[#permalink]
Show Tags
12 Jan 2011, 16:53
Question Stats:
70% (02:40) correct 30% (02:59) wrong based on 176 sessions
HideShow timer Statistics
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%
Official Answer and Stats are available only to registered users. Register/ Login.




Math Expert
Joined: 02 Sep 2009
Posts: 57074

Re: Tough percent problem
[#permalink]
Show Tags
12 Jan 2011, 17:07
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 10020=80 reporters do not cover politics at all. Answer: D.
_________________




Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9538
Location: Pune, India

Re: Tough percent problem
[#permalink]
Show Tags
12 Jan 2011, 20:02
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 nonlocal 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 \(R_{Pol} = (\frac{20}{100})*R\) So, 80% reporters do not cover Politics.
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >



Senior Manager
Joined: 24 Mar 2011
Posts: 329
Location: Texas

Re: Tough percent problem
[#permalink]
Show Tags
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 nonlocal politics = 30 0.14x + 30 = 100 x = 500 total reporters # of reporters do not cover politics = 500100 = 400 so # of reports do not cover politics / # of total reporters = 400/500 = 80%
Attachments
Reporters.JPG [ 13.26 KiB  Viewed 5606 times ]



Manager
Joined: 08 Sep 2010
Posts: 108

Re: Tough percent problem
[#permalink]
Show Tags
11 Jun 2011, 16:21
Let Total reporters = 100 Out of these 100 suppose 'x' cover politics So 100x 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.



Intern
Joined: 29 Jan 2011
Posts: 9
Location: India
Concentration: Finance, Marketing
GMAT Date: 11202011
GPA: 3.6
WE: Business Development (Other)

Re: Tough percent problem
[#permalink]
Show Tags
Updated on: 30 Dec 2011, 10:40
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 4357 times ]
Originally posted by RSG on 29 Dec 2011, 11:57.
Last edited by RSG on 30 Dec 2011, 10:40, edited 2 times in total.



Manager
Joined: 26 Dec 2011
Posts: 91

Re: Exactly 14% of the reporters for a certain wire service
[#permalink]
Show Tags
13 Jul 2012, 02:01
Hi Bunuel... Based on the attachment; what they are asking is .14x/.14x+.3x = .14/.17*100 = which is slightly less than 84%..thus, the answer choice 80%. Please let me know in case I have done anything wrong.
Attachments
File comment: File of the Venn
Image.JPG [ 9.64 KiB  Viewed 3638 times ]



SVP
Joined: 06 Sep 2013
Posts: 1631
Concentration: Finance

Re: Exactly 14% of the reporters for a certain wire service
[#permalink]
Show Tags
29 Jan 2014, 07:08
pavanpuneet wrote: Hi Bunuel...
Based on the attachment; what they are asking is .14x/.14x+.3x = .14/.17*100 = which is slightly less than 84%..thus, the answer choice 80%. Please let me know in case I have done anything wrong. Yes I think that you are assuming that one can cover local politics and NOT cover politics at all which is a contradiction because from my understanding local politics is a SUBSET of politics not a separate group. Would be great if anyone could clarify that this line of reasoning is sound Cheers! J



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9538
Location: Pune, India

Re: Exactly 14% of the reporters for a certain wire service
[#permalink]
Show Tags
29 Jan 2014, 21:43
jlgdr wrote: Yes I think that you are assuming that one can cover local politics and NOT cover politics at all which is a contradiction because from my understanding local politics is a SUBSET of politics not a separate group. Would be great if anyone could clarify that this line of reasoning is sound Cheers! J You are correct. People who cover local politics are a subset of people who cover politics. 30% of reporters who cover politics do not cover local politics so 70% DO cover local politics. Reporters covering local politics = 70% of reporters covering politics = 14% of all reportersReporters covering politics/All Reporters = 14/70 = 1/5 Reporters not covering politics/All Reporters = 4/5 = 80%
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >



Senior Manager
Joined: 06 Aug 2011
Posts: 322

Re: Exactly 14% of the reporters for a certain wire service
[#permalink]
Show Tags
18 Mar 2014, 10:13
I dont know y m going so bad at overlapping and percetage questions which once was my strength.. I was doing.. assume reporters=100 86=30%x (x=who cover politics) Bt m geting value in decimals of x..
_________________
Bole So Nehal.. Sat Siri Akal.. Waheguru ji help me to get 700+ score !



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9538
Location: Pune, India

Re: Exactly 14% of the reporters for a certain wire service
[#permalink]
Show Tags
18 Mar 2014, 20:47
sanjoo wrote: I dont know y m going so bad at overlapping and percetage questions which once was my strength..
I was doing..
assume reporters=100
86=30%x (x=who cover politics)
Bt m geting value in decimals of x.. Note that 86% of total reporters is not equal to 30% of reporters who cover politics. 86% of a bigger set (all reporters) cannot be equal to 30% of a smaller set (reporters covering politics) 14% of total reporters cover local politics so 86% do not cover local politics but all 86 are not a part of the reporters who cover politics.
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9538
Location: Pune, India

Re: Exactly 14% of the reporters for a certain wire service
[#permalink]
Show Tags
18 Mar 2014, 20:48
sanjoo wrote: I dont know y m going so bad at overlapping and percetage questions which once was my strength..
I was doing..
assume reporters=100
86=30%x (x=who cover politics)
Bt m geting value in decimals of x.. And overlapping sets and percentage questions are all about reading the question carefully. If you do, they are very mechanical to solve.
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >



Manager
Joined: 13 Apr 2016
Posts: 58
Location: India
GPA: 3
WE: Operations (Hospitality and Tourism)

Re: Exactly 14% of the reporters for a certain wire service
[#permalink]
Show Tags
18 May 2016, 09:46
enigma123 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% I got the right answer but want to check my approach. So please help.
If 30% of the reporters who cover politics for the wire service do not cover local politics in Country X, then 70% of the reporters who cover politics for the wire service DO cover local politics in Country X.
Let say p be the total reporters.
0.7 p = 0.14
p = 0.2
20% of the total reporters cover politics therefore, 80% don't cover politics. i think the question should be: what is the MAXIMUM percent of the reporters for the wire service that do not cover politics because from the given information we are only able to find the maximum percentage



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9538
Location: Pune, India

Re: Exactly 14% of the reporters for a certain wire service
[#permalink]
Show Tags
18 May 2016, 09:58
Himanshu9818 wrote: enigma123 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% I got the right answer but want to check my approach. So please help.
If 30% of the reporters who cover politics for the wire service do not cover local politics in Country X, then 70% of the reporters who cover politics for the wire service DO cover local politics in Country X.
Let say p be the total reporters.
0.7 p = 0.14
p = 0.2
20% of the total reporters cover politics therefore, 80% don't cover politics. i think the question should be: what is the MAXIMUM percent of the reporters for the wire service that do not cover politics because from the given information we are only able to find the maximum percentage People who cover local politics are a subset of people who cover politics. People who cover politics could cover either only local or only foreign or both. Keeping this in mind, you get an exact value for the % that do not cover politics. 30% of reporters who cover politics do not cover local politics so 70% DO cover local politics. Reporters covering local politics = 70% of reporters covering politics = 14% of all reporters Reporters covering politics/All Reporters = 14/70 = 1/5 Reporters not covering politics/All Reporters = 4/5 = 80%
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2820

Re: Exactly 14% of the reporters for a certain wire service
[#permalink]
Show Tags
30 May 2018, 17:09
enigma123 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% We can let the the total number of reporters for the wire service = 100 and n = the number of reporters who cover politics. Thus (100  n) reporters do not cover politics. Since 30% of the reporters who cover politics for the wire service do not cover local politics, 0.3n who cover politics reporters do not cover local politics, but 0.7n do and we are given that 14% of 100 reporters, i.e., 14 of them do cover local politics. Thus we can create the equation: 0.7n = 14 n = 14/0.7 = 140/7 = 20 So we have 20 reporters who cover politics and hence 80 reporters or 80% of them don’t cover politics. Answer: D
_________________
5star 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.



NonHuman User
Joined: 09 Sep 2013
Posts: 12031

Re: Exactly 14% of the reporters for a certain wire service
[#permalink]
Show Tags
19 Jul 2019, 06:11
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: Exactly 14% of the reporters for a certain wire service
[#permalink]
19 Jul 2019, 06:11






