If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is what percent of x?
A. y/200
B. 2y
C. 50y
D. 50/y
E. 5000/y
OA E
Source: Manhattan Prep
If m > 0, y > 0, and x is m percent of 2y, then, in te
This topic has expert replies
-
- Moderator
- Posts: 7187
- Joined: Thu Sep 07, 2017 4:43 pm
- Followed by:23 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
- GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
Let y=100, implying that 2y = 200.BTGmoderatorDC wrote:If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is what percent of x?
A. y/200
B. 2y
C. 50y
D. 50/y
E. 5000/y
Let m=100.
x is m percent of 2y.
Since m=100 and 2y=200, x = 100% of 200 = 200.
m is what percent of x?
m/x = 100/200 = 1/2 = 50%. This is our target.
Now plug y=100 into the answers to see which yields the target value of 50.
Only E works:
5000/y = 5000/100 = 50.
The correct answer is E.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
- fskilnik@GMATH
- GMAT Instructor
- Posts: 1449
- Joined: Sat Oct 09, 2010 2:16 pm
- Thanked: 59 times
- Followed by:33 members
Obs.: (to our students) This is one of those problems in which we must interpret 1/2= 50% as 50 ("percent omitted") because the term "percent" is in the FOCUS.BTGmoderatorDC wrote:If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is what percent of x?
A. y/200
B. 2y
C. 50y
D. 50/y
E. 5000/y
Source: Manhattan Prep
(Don´t forget "the hidden butterfly mistake"!)
\[x = \frac{m}{{100}}\left( {2y} \right)\,\,\,\,\,\,\,\,\,\,\left[ {m,y\,\, > 0} \right]\]
\[?\,\,\,:\,\,\,\frac{m}{x} \cdot 100\left( \% \right) = f\left( y \right)\]
\[x = \frac{m}{{100}}\left( {2y} \right)\,\,\,\,\,\mathop \Rightarrow \limits^{{\text{FOCUS}}!} \,\,\,\,\,\frac{m}{x} = \frac{{50}}{y}\,\,\,\,\,\mathop \Rightarrow \limits^{{\text{FOCUS}}!} \,\,\,\,\,?\,\, = \,\,\frac{m}{x} \cdot 100\left( \% \right) = \frac{{50}}{y} \cdot 100\left( \% \right)\,\,\,\,\, \Rightarrow \,\,\,\,\left( E \right)\]
This solution follows the notations and rationale taught in the GMATH method.
Regards,
Fabio.
Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br
GMAT/MBA Expert
- ceilidh.erickson
- GMAT Instructor
- Posts: 2095
- Joined: Tue Dec 04, 2012 3:22 pm
- Thanked: 1443 times
- Followed by:247 members
Here's another way to set it up algebraically:BTGmoderatorDC wrote:If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is what percent of x?
A. y/200
B. 2y
C. 50y
D. 50/y
E. 5000/y
OA E
Source: Manhattan Prep
x is m percent of 2y --->
\[x = \frac{m}{{100}}\left( {2y} \right)\]
m is what percent of x? Create a new variable "n" for the "what" --->
\[m = \frac{n}{{100}}\left( {x} \right)\]
Now combine the two equations by substituting in for x:
\[m = \frac{n}{{100}}\ \cdot \frac{m}{{100}}\left( {2y} \right)\]
Divide both sides by m:
\[1 = \frac{n}{{100}}\ \cdot \frac{1}{{100}}\left( {2y} \right)\]
Isolate n:
\[\frac{1}{{2y}}\ = \frac{n}{{100}}\ \cdot \frac{1}{{100}}\]
\[\frac{1}{{2y}}\ = \frac{n}{{10,000}}\]
\[\frac{10,000}{{2y}}\ = n\]
\[\frac{5,000}{{y}}\ = n\]
The answer is E.
Ceilidh Erickson
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
GMAT/MBA Expert
- ceilidh.erickson
- GMAT Instructor
- Posts: 2095
- Joined: Tue Dec 04, 2012 3:22 pm
- Thanked: 1443 times
- Followed by:247 members
Here's another similar problem to try, both algebraically and with plugging numbers:
https://www.beatthegmat.com/if-m-0-and- ... tml#800983
https://www.beatthegmat.com/if-m-0-and- ... tml#800983
Ceilidh Erickson
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
GMAT/MBA Expert
- Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7242
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
We are given that x is m percent of 2y. Thus:BTGmoderatorDC wrote:If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is what percent of x?
A. y/200
B. 2y
C. 50y
D. 50/y
E. 5000/y
x = (m/100)(2y)
We need to determine m as a percentage of x, i.e., (m/x)(100).
Let's simplify our equation:
x = (m/100)(2y)
x/m = 2y/100
x/m = y/50
m/x = 50/y
(m/x)(100) = (50/y)(100)
(m/x)(100) = 5000/y
Answer: E
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews