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# If n > 0, which is greater, 20 percent of n or 10 percent of

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Retired Moderator
Joined: 05 Jul 2006
Posts: 1741
If n > 0, which is greater, 20 percent of n or 10 percent of [#permalink]

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26 Apr 2013, 13:13
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If n > 0, which is greater, 20 percent of n or 10 percent of the sum of n and 0.5 ?

(1) n < 0.1
(2) n> 0.01
[Reveal] Spoiler: OA

Last edited by Bunuel on 27 Apr 2013, 04:16, edited 2 times in total.
Renamed the topic and edited the question.
Intern
Joined: 18 Nov 2011
Posts: 36
Concentration: Strategy, Marketing
GMAT Date: 06-18-2013
GPA: 3.98
Re: 20 percent of n or 10 percent of the sum of n and 0.5? [#permalink]

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26 Apr 2013, 13:52
yezz wrote:
n>0, which is greater, 20 percent of n or 10 percent of the sum of n and 0.5?
A. n<0.1
B. n>0.01

S1) n<0.1
20% of 0.1 = .02, so first option is between 0 and .02
10% of (0.1+0.5) = .06 ; 10% of (0.0+0.5) = .05, so the second option is between .05 and .06
Because the range of the second option is always larger than the range of the first option, S1 is sufficient

S2) n>0.01
20% of 0.01 = .002 so the first option is from .002 to infinity
10% of (.001+.05) = .051, so the second option is from .051 to infinity
S2 is not sufficient

I get A

Yezz, how did the OA source describe C as correct? Maybe I am missing something.
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Re: 20 percent of n or 10 percent of the sum of n and 0.5? [#permalink]

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27 Apr 2013, 03:17
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KUDOS
yezz wrote:
n>0, which is greater, 20 percent of n or 10 percent of the sum of n and 0.5?
A. n<0.1
B. n>0.01

I got the same answer A.

Thу question ask to find which is greatear $$0.2n$$ or $$0.1(n+0.5)$$. It is the same as to find which is greater $$2n$$ or $$n+0.5$$, or, similarly, $$n$$ or $$0.5$$.

(1) We definitely know that $$n<0.5$$
(2) We know nothing.

Must be A.
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I'm happy, if I make math for you slightly clearer
And yes, I like kudos:)

Retired Moderator
Joined: 05 Jul 2006
Posts: 1741
Re: If n > 0, which is greater, 20 percent of n or 10 percent of [#permalink]

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27 Apr 2013, 04:41
Obviously the OA is wrong , I agree 100% on A. thanks to all the source of this question is a document i downloaded from the club that has a collection of questions in it.
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Joined: 02 Sep 2009
Posts: 44298
If n > 0, which is greater, 20 percent of n or 10 percent of [#permalink]

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23 Nov 2017, 05:57
If n > 0, which is greater, 20 percent of n or 10 percent of the sum of n and 0.5 ?

Is $$0.2n>0.1(n+0.5)$$?
Is $$n>0.5$$?

(1) n < 0.1. Sufficient.
(2) n> 0.01. Not sufficient.

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If n > 0, which is greater, 20 percent of n or 10 percent of   [#permalink] 23 Nov 2017, 05:57
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