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# If p and r are positive, is 25 percent of p equal to 10 percent of r ?

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
If p and r are positive, is 25 percent of p equal to 10 percent of r ?  [#permalink]

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11 Oct 2018, 03:16
00:00

Difficulty:

35% (medium)

Question Stats:

76% (01:44) correct 24% (01:50) wrong based on 39 sessions

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If p and r are positive, is 25 percent of p equal to 10 percent of r ?

(1) r is 300 percent greater than p.
(2) p is 80 percent less than (r + p)

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Re: If p and r are positive, is 25 percent of p equal to 10 percent of r ?  [#permalink]

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11 Oct 2018, 03:36
1
Bunuel wrote:
If p and r are positive, is 25 percent of p equal to 10 percent of r ?

(1) r is 300 percent greater than p.
(2) p is 80 percent less than (r + p)

Question: Is (25/100)*p = (10/100)*r?

Question: Is (25)*p = (10)*r?

Question: Is (5)*p = (2)*r?

Question REPHRASED: Is r = 2.5p ?

Statement 1: r is 300 percent greater than p

i.e. r = p + (300/100)*p = p+3p = 4p
i.e. Answer to the question is NO
SUFFICIENT

Statement 2: p is 80 percent less than (r + p)

i.e. p = (r+p)-(80/100)*(r+p)
i.e. p = 0.2 (r+p)
i.e. 0.2r = 0.8p
i.e. r = 4p
i.e. Answer to the question is NO
SUFFICIENT

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Re: If p and r are positive, is 25 percent of p equal to 10 percent of r ?   [#permalink] 11 Oct 2018, 03:36
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