Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 20 Jul 2019, 00:43 ### GMAT 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

every week, we’ll send you an estimated GMAT 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.  # If p > 0 and a is 2p percent of b, then, in terms of p, b is what perc

Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 56300
If p > 0 and a is 2p percent of b, then, in terms of p, b is what perc  [#permalink]

### Show Tags 00:00

Difficulty:   45% (medium)

Question Stats: 59% (01:46) correct 41% (01:30) wrong based on 38 sessions

### HideShow timer Statistics If p > 0 and a is 2p percent of b, then, in terms of p, b is what percent of a ?

A. 50p
B. 1/(500p)
C. 5/p
D. 50/p
E. 5000/p

_________________
Senior Manager  S
Joined: 15 Jan 2017
Posts: 348
Re: If p > 0 and a is 2p percent of b, then, in terms of p, b is what perc  [#permalink]

### Show Tags

a/ 2 is 1/4 b
a is 1/2 b

hence b is 2a. Option A fits best.

Looking for more detailed options on OA
Math Expert V
Joined: 02 Aug 2009
Posts: 7764
If p > 0 and a is 2p percent of b, then, in terms of p, b is what perc  [#permalink]

### Show Tags

Bunuel wrote:
If p > 0 and a is 2p percent of b, then, in terms of p, b is what percent of a ?

A. 50p
B. 1/(500p)
C. 5/p
D. 50/p
E. 5000/p

Solve the Q for answer or substitute..
Solution..
$$a=\frac{2p}{100}*b.........b=\frac{50a}{p}$$
Now, in terms of % of a...$$b=\frac{50a}{ap}*100=5000/p$$

Substitute..
Take a as 50 and b as 100, so 2p=50% or p=25
So b in % of a = 100*100/50=200%
Substitute in Choices
Only E gives 200%
_________________
Intern  B
Joined: 02 Mar 2017
Posts: 11
If p > 0 and a is 2p percent of b, then, in terms of p, b is what perc  [#permalink]

### Show Tags

a= 2p% of b --> 2pb/100
Now b is what percentage of a
2pb/100 -->100%
then b --> (100*b) / (2pb/100)

After cancelling b and dividing 100 by 2 -- > (50*100)/p ==> 5000/p

Ans: E If p > 0 and a is 2p percent of b, then, in terms of p, b is what perc   [#permalink] 13 Dec 2017, 04:47
Display posts from previous: Sort by

# If p > 0 and a is 2p percent of b, then, in terms of p, b is what perc  