If P and R are positive, is 25 percent of P equal to 10 : GMAT Data Sufficiency (DS)
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# If P and R are positive, is 25 percent of P equal to 10

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If P and R are positive, is 25 percent of P equal to 10 [#permalink]

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25 Nov 2010, 05:13
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If P and R are positive, is 25 percent of P equal to 10 percent of R?

(1) R is 150 percent greater than P
(2) P is 60 percent less than R.

For this question the I get the answer as C because we need both the equation to get the value of p and r.

Please let me know if there is another way of solving it .

If you like this question then 1 Kudos to me .....
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25 Nov 2010, 05:56
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(1) R = 250% x P -> 10% R = 25% P Suff
(2) 40% x R = P -> 10% R = 25% P Suff

IMO, the answer should be D
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25 Nov 2010, 06:13
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bigtooth81 wrote:
(1) R = 250% x P -> 10% R = 25% P Suff
(2) 40% x R = P -> 10% R = 25% P Suff

IMO, the answer should be D

Can you explain it in more detailed way ..I am a bit dumb in understanding Quant ...
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25 Nov 2010, 06:26
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This is how I interpret the question
(1) R is 150 percent greater than P : R = P + 150% * P = 250% P. Divide both side by 10 you have 10% x R = 25% x P -> Suff
(2) P is 60 percent less than R. : (100% - 60%) R = P or 40% x R = P. Divide both side by 4 you also have 10% x R = 25% x P -> Suff

Hope that helps
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28 Nov 2010, 11:35
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rite2deepti wrote:
If P and R are positive, is 25 percent of P equal to 10 percent of R?
(1) R is 150 percent greater than P
(2) P is 60 percent less than R.

For this question the I get the answer as C because we need both the equation to get the value of p and r.

Please let me know if there is another way of solving it .

If you like this question then 1 Kudos to me .....

I solved it like this:

p/4 = r/10

1) p/4= 2.5p/10 = 10P SO P=P
2).4R/4=R/10 SO R=R

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29 Nov 2010, 06:55
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I think it should be D as well. From the stem, we are trying to find out if 0.25P = 0.1R. Statement (1) gives us R = 2.5P, and statement (2) gives us P = .4R, so either one is sufficient to figure out if 0.25P = 0.1R.
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19 Dec 2010, 21:23
bigtooth81 wrote:
This is how I interpret the question
(1) R is 150 percent greater than P : R = P + 150% * P = 250% P. Divide both side by 10 you have 10% x R = 25% x P -> Suff
(2) P is 60 percent less than R. : (100% - 60%) R = P or 40% x R = P. Divide both side by 4 you also have 10% x R = 25% x P -> Suff

Hope that helps

Yeah good Explanation...
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Re: If P and R are positive, is 25 percent of P equal to 10 [#permalink]

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17 Apr 2014, 04:10
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Re: If P and R are positive, is 25 percent of P equal to 10 [#permalink]

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20 Jul 2015, 10:47
Hello from the GMAT Club BumpBot!

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Re: If P and R are positive, is 25 percent of P equal to 10 [#permalink]

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22 Dec 2015, 13:07
TO find the ratio is enough. Each statement alone is sufficient
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Re: If P and R are positive, is 25 percent of P equal to 10   [#permalink] 22 Dec 2015, 13:07
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