[phpBB Debug] PHP Notice: in file /viewtopic.php on line 1525: Undefined array key "topic_tags_visibility"
[phpBB Debug] PHP Notice: in file /viewtopic.php on line 1526: Undefined array key "timer_statistics_visibility"
If P >0 and P % of 3P is P % less than P, then P equal : Multiple-choice Questions — Select One Answer Choice

Last visit was: 22 Jul 2024, 14:38 It is currently 22 Jul 2024, 14:38

Close

GRE Prep Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 29147
Own Kudos [?]: 34186 [4]
Given Kudos: 25534
Send PM
avatar
Intern
Intern
Joined: 08 Dec 2017
Posts: 40
Own Kudos [?]: 68 [0]
Given Kudos: 0
Send PM
avatar
Retired Moderator
Joined: 20 Apr 2016
Posts: 1307
Own Kudos [?]: 2238 [0]
Given Kudos: 251
WE:Engineering (Energy and Utilities)
Send PM
avatar
Manager
Manager
Joined: 15 Feb 2018
Posts: 53
Own Kudos [?]: 34 [0]
Given Kudos: 0
Send PM
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.
avatar
Intern
Intern
Joined: 24 May 2016
Posts: 33
Own Kudos [?]: 29 [0]
Given Kudos: 0
Send PM
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?
Verbal Expert
Joined: 18 Apr 2015
Posts: 29147
Own Kudos [?]: 34186 [1]
Given Kudos: 25534
Send PM
Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink]
1
Expert Reply
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
avatar
Intern
Intern
Joined: 04 Jun 2017
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 0
Send PM
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
Verbal Expert
Joined: 18 Apr 2015
Posts: 29147
Own Kudos [?]: 34186 [0]
Given Kudos: 25534
Send PM
Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink]
Expert Reply
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.
avatar
Intern
Intern
Joined: 07 Jan 2019
Posts: 30
Own Kudos [?]: 2 [0]
Given Kudos: 0
Send PM
Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink]
thanks
avatar
Manager
Manager
Joined: 08 Dec 2018
Posts: 94
Own Kudos [?]: 69 [0]
Given Kudos: 0
Send PM
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.
GRE Prep Club Tests Editor
Joined: 13 May 2019
Affiliations: Partner at MyGuru LLC.
Posts: 186
Own Kudos [?]: 325 [0]
Given Kudos: 5
Location: United States
GMAT 1: 770 Q51 V44
GRE 1: Q169 V168
WE:Education (Education)
Send PM
Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink]
Expert Reply
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.
avatar
Manager
Manager
Joined: 01 Jan 2020
Posts: 114
Own Kudos [?]: 87 [0]
Given Kudos: 0
Concentration: Marketing
Schools: Copenhagen Business School - Class of 2022
Send PM
Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink]
Could someone explain why we multiply the (p/100*) with P?
I am having trouble grasping why that last multiplication is needed
Thank you for your answers
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 11874 [2]
Given Kudos: 136
Send PM
Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink]
2
bubidag wrote:
Could someone explain why we multiply the (p/100*) with P?
I am having trouble grasping why that last multiplication is needed
Thank you for your answers


Key concept #1: p percent = p/100
For example, 17% = 17/100

Key concept #2: p percent of N is the same as p/100 of N
So, for example, 29% of 53 = 29/100 of 53 = (29/100)(53)

Key concept #3: p percent less than N is the same as N - (p percent of N)
For example, 10% less than 8 = 8 - (10% of 8) = 8 - 0.8 = 7.2


So....p percent less than p = p - (p% of p)
= p - (p/100 of p)
= p - (p/100)(p)
User avatar
GRE Instructor
Joined: 19 Jan 2020
Status:Entrepreneur | GMAT, GRE, CAT, SAT, ACT coach & mentor | Founder @CUBIX | Edu-consulting | Content creator
Posts: 117
Own Kudos [?]: 257 [0]
Given Kudos: 0
GPA: 3.72
Send PM
Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink]
1
Solution:

P % of 3P is P % less than P

Note:
P% of something means P/100 * (that thing) ... (i)

Another point: How to interpret P% less than P:

Note that P represents 100% of P (since 100% of P = 100/100 * P = P ---- from (i) above)
Thus, x% less than P would mean that from 100%, we reduce x% and get (100 - x)% of P

Thus: P% less than P means (100 - P)% of P = (100 - P)/100 * P

Thus, we have:

P % of 3P is P % less than P

=> (P/100) * 3P = (100 - P)/100 * P

Cancelling P from both sides:

(P/100) * 3 = (100 - P)/100

=> 3P = 100 - P
=> P = 25

Answer B
User avatar
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 4661
Own Kudos [?]: 69 [0]
Given Kudos: 0
Send PM
Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink]
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Prep Club for GRE Bot
Re: If P >0 and P % of 3P is P % less than P, then P equal [#permalink]
Moderators:
GRE Instructor
52 posts
GRE Forum Moderator
29 posts
Moderator
1093 posts
GRE Instructor
218 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne