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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # If P >0 and P % of 3P is P % less than P, then P equal  Question banks Downloads My Bookmarks Reviews Important topics
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Founder  Joined: 18 Apr 2015
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If P >0 and P % of 3P is P % less than P, then P equal [#permalink]
Expert's post 00:00

Question Stats: 69% (01:39) correct 30% (02:53) wrong based on 55 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

_________________ Intern Joined: 08 Dec 2017
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Kudos [?]: 43  , given: 70

Re: If P > o and P % of 3P is P % less than P, then P equal [#permalink]
1
KUDOS
(p/100)(3p)=p-(p^2/100)
or, 3p^2=(100P-p^2)
or, p =25 Director Joined: 20 Apr 2016
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WE: Engineering (Energy and Utilities)
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Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink]
3
KUDOS
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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Manager Joined: 15 Feb 2018
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Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink]
The wording "P % less than P" was confusing for me. I thought it's P - P/100 on the left-hand-side.
Intern Joined: 24 May 2016
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Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink]
P-(\frac{P}{100} * P)
how you figured out this RHS like that?
Founder  Joined: 18 Apr 2015
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Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink]
Expert's post
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.

Regards
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Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink]
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
Founder  Joined: 18 Apr 2015
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Kudos [?]: 1449 , given: 6611

Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink]
Expert's post
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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Intern Joined: 07 Jan 2019
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Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink]
thanks
Manager Joined: 08 Dec 2018
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Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink]
I was quite bogged down in the confusing p%p and so on. But I got it this way:
p-p%*3p=p%p [Since P%*3P <P by P%*P]
p=25.
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Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink]
Expert's post
Quote:
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

An alternative approach to the problem should the direct translation prove difficult is to use the choices and backsolve. When backsolving always attempt to logically eliminate any impossible choices. In this case, it might be possible to eliminate the largest two choices since, 50% of 3 x 50 would be a value larger than P itself and thus not satisfy the conditions of the problem.

Then we can take the middle remaining choice, in this case choice B 25 and walk through the steps to see if it matches the conditions of the problem. So, use the provided calculator to determine that 25% of 75 = 18.75. Now, check to see if 18.75 is 25% less than 25 by using the percent change formula which is (difference/original) x 100. In this case the difference is 6.25 and the original would be our plugged in value of p which is 25. 6.25 ÷ 25 = 0.25 x 100 = 25%, therefore choice B 25 matches all conditions of the problem and is the correct choice.
_________________

Stefan Maisnier Re: If P >0 and P % of 3P is P % less than P, then P equal   [#permalink] 14 May 2019, 08:24
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