Sep 22 08:00 PM PDT  09:00 PM PDT Exclusive offer! Get 400+ Practice Questions, 25 Video lessons and 6+ Webinars for FREE Sep 23 08:00 AM PDT  09:00 AM PDT Join a free 1hour webinar and learn how to create the ultimate study plan, and be accepted to the upcoming Round 2 deadlines. Save your spot today! Monday, September 23rd at 8 AM PST Sep 28 07:00 AM PDT  09:00 AM PDT Attend this webinar to learn two proprietary ways to PreThink assumptions and ace GMAT CR in 10 days. Sep 29 07:00 AM PDT  09:00 AM PDT Attend this Free Algebra Webinar and learn how to master Inequalities and Absolute Value problems on GMAT.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58098

If 25 percent of p is equal to 10 percent of q, and pq#0, th
[#permalink]
Show Tags
07 Mar 2014, 04:44
Question Stats:
90% (01:04) correct 10% (01:24) wrong based on 486 sessions
HideShow timer Statistics
The Official Guide For GMAT® Quantitative Review, 2ND EditionIf 25 percent of p is equal to 10 percent of q, and pq#0, then p is what percent of q ? (A) 2.5% (B) 15% (C) 20% (D) 35% (E) 40% Problem Solving Question: 138 Category: Arithmetic; Algebra Percents; Applied problems Page: 80 Difficulty: 500 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you!
Official Answer and Stats are available only to registered users. Register/ Login.
_________________



Math Expert
Joined: 02 Sep 2009
Posts: 58098

Re: If 25 percent of p is equal to 10 percent of q, and pq#0, th
[#permalink]
Show Tags
07 Mar 2014, 04:44
SOLUTIONIf 25 percent of p is equal to 10 percent of q, and pq#0, then p is what percent of q ?(A) 2.5% (B) 15% (C) 20% (D) 35% (E) 40% \(0.25p=0.1q\); \(p=\frac{0.1}{0.25}q\); \(p=0.4q\). Answer: E.
_________________



Manager
Joined: 04 Jan 2014
Posts: 116
GMAT 1: 660 Q48 V32 GMAT 2: 630 Q48 V28 GMAT 3: 680 Q48 V35

Re: If 25 percent of p is equal to 10 percent of q, and pq#0, th
[#permalink]
Show Tags
07 Mar 2014, 05:29
p/4 = q/10 p = 0.4q (40%)
Answer (E).



Intern
Joined: 16 Jun 2013
Posts: 9

Re: If 25 percent of p is equal to 10 percent of q, and pq#0, th
[#permalink]
Show Tags
07 Mar 2014, 12:48
0.25p = 0.1q =>p = 0.4q =>p = 40%q



Manager
Joined: 20 Dec 2013
Posts: 225
Location: India

Re: If 25 percent of p is equal to 10 percent of q, and pq#0, th
[#permalink]
Show Tags
07 Mar 2014, 17:28
Option E. p/4=q/10 P/q=4/10 Or 40%
Posted from my mobile device



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2818

Re: If 25 percent of p is equal to 10 percent of q, and pq#0, th
[#permalink]
Show Tags
16 Jun 2018, 10:14
Quote: If 25 percent of p is equal to 10 percent of q, and pq#0, then p is what percent of q ?
(A) 2.5% (B) 15% (C) 20% (D) 35% (E) 40%
We can create the equation; 0.25p = 0.1q 25p = 10q p/q = 10/25 = 2/5 = 40%. Answer: E
_________________
5star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews
If you find one of my posts helpful, please take a moment to click on the "Kudos" button.



Senior Manager
Joined: 10 Apr 2018
Posts: 271
Location: United States (NC)

Re: If 25 percent of p is equal to 10 percent of q, and pq#0, th
[#permalink]
Show Tags
05 Aug 2018, 20:40
Hi chetan2u, In the question "If 25 percent of p is equal to 10 percent of q, and pq#0, then p is what percent of q ?" what is the role that "pq#0" plays. How does this information help/impact question. Probus
_________________
Probus
~You Just Can't beat the person who never gives up~ Babe Ruth



Math Expert
Joined: 02 Aug 2009
Posts: 7842

Re: If 25 percent of p is equal to 10 percent of q, and pq#0, th
[#permalink]
Show Tags
05 Aug 2018, 22:52
Probus wrote: Hi chetan2u, In the question "If 25 percent of p is equal to 10 percent of q, and pq#0, then p is what percent of q ?" what is the role that "pq#0" plays. How does this information help/impact question. Probus hi probus, say any one was 0, would have meant other is 0.. 25% of p = 10% of q.. 25% of 0 = 10% of 0 0=0....totally valid but doesnt make sense as p is what percent of q becomes 0/0... so pq not equal to 0 tells us that BOTH are different number and NOT 0
_________________



Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4714
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)

Re: If 25 percent of p is equal to 10 percent of q, and pq#0, th
[#permalink]
Show Tags
06 Aug 2018, 08:09
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionIf 25 percent of p is equal to 10 percent of q, and pq#0, then p is what percent of q ? (A) 2.5% (B) 15% (C) 20% (D) 35% (E) 40% \(\frac{p}{4} = \frac{q}{10} = 20\)(Say) So, \(p = 80\) & \(q = 200\) Thus, p in terms of q is \(\frac{80}{200}*100 = 40\)% , Answer must be (E)
_________________



NonHuman User
Joined: 09 Sep 2013
Posts: 12526

Re: If 25 percent of p is equal to 10 percent of q, and pq#0, th
[#permalink]
Show Tags
28 Aug 2019, 04:45
Hello from the GMAT Club BumpBot! Thanks to another GMAT 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.
_________________




Re: If 25 percent of p is equal to 10 percent of q, and pq#0, th
[#permalink]
28 Aug 2019, 04:45






