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Exactly 14% of the reporters for a certain wire service

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Exactly 14% of the reporters for a certain wire service  [#permalink]

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New post 12 Jan 2011, 16:53
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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%
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Re: Tough percent problem  [#permalink]

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New post 12 Jan 2011, 17:07
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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.
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Re: Tough percent problem  [#permalink]

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New post 12 Jan 2011, 20:02
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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 \(R_{Pol} = (\frac{20}{100})*R\)
So, 80% reporters do not cover Politics.
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Re: Tough percent problem  [#permalink]

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New post 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%
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Re: Tough percent problem  [#permalink]

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New post 11 Jun 2011, 16:21
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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
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Re: Tough percent problem  [#permalink]

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New post Updated on: 30 Dec 2011, 10:40
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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%
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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.
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Re: Exactly 14% of the reporters for a certain wire service  [#permalink]

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New post 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.
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Re: Exactly 14% of the reporters for a certain wire service  [#permalink]

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New post 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!
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Re: Exactly 14% of the reporters for a certain wire service  [#permalink]

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New post 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 reporters
Reporters covering politics/All Reporters = 14/70 = 1/5
Reporters not covering politics/All Reporters = 4/5 = 80%
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Re: Exactly 14% of the reporters for a certain wire service  [#permalink]

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New post 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..
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Re: Exactly 14% of the reporters for a certain wire service  [#permalink]

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New post 18 Mar 2014, 20:47
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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.
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Re: Exactly 14% of the reporters for a certain wire service  [#permalink]

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New post 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.
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Re: Exactly 14% of the reporters for a certain wire service  [#permalink]

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New post 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
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Re: Exactly 14% of the reporters for a certain wire service  [#permalink]

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New post 18 May 2016, 09:58
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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%
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Re: Exactly 14% of the reporters for a certain wire service  [#permalink]

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New post 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
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Re: Exactly 14% of the reporters for a certain wire service  [#permalink]

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