 It is currently 25 Mar 2019, 07:40 ### 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. # p is 75% of q and p equals 2r.  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1783 , given: 397

p is 75% of q and p equals 2r. [#permalink]
Expert's post 00:00

Question Stats: 80% (00:45) correct 20% (01:36) wrong based on 25 sessions
p is 75% of q and p equals 2r.

 Quantity A Quantity B 0.375q r

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Intern Joined: 02 May 2018
Posts: 45
Followers: 0

Kudos [?]: 28 , given: 17

Re: p is 75% of q and p equals 2r. [#permalink]
p is 75% of q
$$p=.75q$$

p equals 2r
$$p=2r$$

Quantity A: $$0.375q$$
Quantity B: $$r$$

I manipulated the equation to make $$r=\frac{p}{2}$$
From here, we can substitute $$\frac{p}{2}$$ for r as Quantity B.

Quantity A: $$0.375q$$
Quantity B: $$\frac{p}{2}$$

Multiply both sides by 2.

Quantity A: $$0.75q$$
Quantity B: $$p$$

We see that the first equation given to us matches what we have in Quantity A and B.

Quantity A is equivalent to Quantity B.

The answer is C.
GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1783 , given: 397

Re: p is 75% of q and p equals 2r. [#permalink]
Expert's post
Explanation

Write an equation from the first part of the given information: p = 0.75q. Since p = 2r, substitute 2r for p in the first equation:

$$2r = 0.75q$$
$$r = 0.375q$$

The two quantities are equal.

Alternatively, use smart numbers. If q is 8, then p is (8)(0.75) = 6. (Note: because you have to multiply q by 0.75, or , try to pick something divisible by 4 for q, so that p will be an integer.)

Therefore, r is = 3.

Since 0.375q = (0.375)(8) = 3, the value for r is also 3. The two quantities are equal.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test Re: p is 75% of q and p equals 2r.   [#permalink] 11 Jul 2018, 15:53
Display posts from previous: Sort by

# p is 75% of q and p equals 2r.  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.