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

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

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New post 26 Apr 2013, 12:13
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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, 03:16, edited 2 times in total.
Renamed the topic and edited the question.

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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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New post 26 Apr 2013, 12:52
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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New post 27 Apr 2013, 02:17
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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:)

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Re: If n > 0, which is greater, 20 percent of n or 10 percent of [#permalink]

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New post 27 Apr 2013, 03:41
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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If n > 0, which is greater, 20 percent of n or 10 percent of [#permalink]

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New post 23 Nov 2017, 04:57

Kudos [?]: 135577 [0], given: 12701

If n > 0, which is greater, 20 percent of n or 10 percent of   [#permalink] 23 Nov 2017, 04:57
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If n > 0, which is greater, 20 percent of n or 10 percent of

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