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If P >0 and P % of 3P is P % less than P, then P equal

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If P >0 and P % of 3P is P % less than P, then P equal [#permalink] New post 30 Jul 2017, 08:20
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Question Stats:

68% (01:53) correct 31% (02:50) wrong based on 32 sessions


If P > 0 and P % of 3P is P % less than P, then P equals:

A. 5

B. 25

C. 40

D. 50

E. 64
[Reveal] Spoiler: OA

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Re: If P > o and P % of 3P is P % less than P, then P equal [#permalink] New post 05 Feb 2018, 04:53
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(p/100)(3p)=p-(p^2/100)
or, 3p^2=(100P-p^2)
or, p =25

So, the answer is B.
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Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink] New post 05 Feb 2018, 19:35
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Carcass wrote:


If P > 0 and P % of 3P is P % less than P, then P equals:

A. 5

B. 25

C. 40

D. 50

E. 64


Here it is given P% of 3P is P% less than P,

i.e we have \(\frac{P}{100} * 3P =\) \(P-(\frac{P}{100} * P)\)

or \(3P^2 =\) \(100P - P^2\)

OR \(4P = 100\)

OR \(P =25\) i.e option B
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Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink] New post 25 Feb 2018, 02:59
The wording "P % less than P" was confusing for me. I thought it's P - P/100 on the left-hand-side.
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Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink] New post 05 May 2018, 19:17
P-(\frac{P}{100} * P)
how you figured out this RHS like that?
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Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink] New post 06 May 2018, 04:18
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These are basic rules of % GRE problems, however.

If you do nor re-brush your math skills then is difficult to attack more difficult questions.

Translating math into words

P % of 3P is P % less than P

P% means \(\frac{P}{100}\)

of 3P means * 3P

is means =

P% less than p means a certain quantity such as 100 less a certain % we could say 10% which is equal to 90%

As such, P - (P/100*P). If you wanna from 100 to arrive directly to 90 you multiply 100* 0.9 and the result is 90.

Hope this helps.

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Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink] New post 20 Aug 2018, 08:09
If P% less than P meant.

P - (p/100)* p

What does P% more than P mean??
would that equal to P + (P/100)*P
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Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink] New post 20 Aug 2018, 08:57
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Exactly.

Simpler, if you do have 100 or 80 or 75 you have to multiply for 100+15% (if the % change is 15 for instance)

100 * 1.15 = 115 or 80*1.15 you do have 100 or 80 plus 15% directly.

if you wanna take out the % you do 80 * 0.85% (100-15).

Hope this helps.
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Re: If P >0 and P % of 3P is P % less than P, then P equal   [#permalink] 20 Aug 2018, 08:57
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