BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

y percent of x

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |
User avatar
Master | Next Rank: 500 Posts
Posts: 490
Joined: Thu Jul 04, 2013 7:30 amFollowed by: 5 members
Location: Chennai, India
Thanked: 83 times

by Uva@90 » Sun Nov 10, 2013 7:16 am
Sak32 wrote:If m>0 and x is m percent of y, then, in terms of m, y is what percent of x?

The answer is 10000/m.

How did we obtain this answer?
Hi Sak32,
Given: x is m percent of y
X = (m/100)*Y ----(1) ---> Y/X = 100/m
To Find: y is what percent of x
Y = (P/100)*X
We need to find P now
So, P = (Y/X)*100
From (1) We can get (Y/X) = 100/m
So, P = (100*100)/m

Hope it helps you.

Regards,
Uva.
Known is a drop Unknown is an Ocean
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members
Location: Vancouver, BC
Thanked: 5254 times
GMAT Score:770

by Brent@GMATPrepNow » Sun Nov 10, 2013 8:04 am
Here's the original question in its entirety.
If m > 0 and x is m percent of y, then, in terms of m, y is what percent of x?

A. 100m
B. 1/(100m)
C. 1/m
D. 10/m
E. 10000/m
Another approach is to plug in some numbers that meet the given condition.

x is m percent of y
How about 10 is 25 percent of 40
So, x = 10, m = 25 and y = 40
Great, so these values satisfy the given condition. Now onto . . .

in terms of m, y is what percent of x?
In other words, 40 is what percent of 10?
Well, 40 is 400 percent of 10

So, we need an answer choice that yields an output of 400, when m = 25. Let's plug 25 in for m . . .

A. 100(25) = 2500 NOPE
B. 1/[100(25)] = 1/2500 NOPE
C. 1/25 = 1/25 NOPE
D. 10/25 = 2/5 NOPE
E. 10000/25 = 400 BINGO!

Answer: E

Try plugging in your own set of values that meet the given condition.

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 359
Joined: Wed Mar 11, 2009 4:37 amFollowed by: 2 members
Location: Kolkata, India
Thanked: 50 times

by Abhishek009 » Sun Nov 10, 2013 9:28 am
Sak32 wrote:If m>0 and x is m percent of y, then, in terms of m, y is what percent of x?

The answer is 10000/m.

How did we obtain this answer?
X = m% of Y

X = mY/100

Hence Y = 100X/m---------> ( 1 )

We are required to find :

y is what percent of x?

We got Y = 100X/m

To find Y as a % of X = Y/X * 100 % ( Is the normal Form )----------> ( 2 )

Replace Y / X with the value found in ( 1 )

( 100X/m) / X *100

=> 100/m * 100

=> 10000/m


Hope this helps..
Abhishek
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members
Location: New York, NY
Thanked: 13060 times
GMAT Score:790

by GMATGuruNY » Sun Nov 10, 2013 10:52 am
If m > 0 and x is m percent of y, then, in terms of m, y is what percent of x?

A. 100m
B. 1/(100m)
C. 1/m
D. 10/m
E. 10000/m
When a variable stands for a PERCENT, plug in a MULTIPLE OF 100.
Let m=200.
Let y=10.

x is m% of y:
x = 200% of 10 = 20.

y is what percent of x:
y/x = 10/20 = 1/2 = 50%. This is our target.

Now plug m=200 into the answers to see which yields our target of 50.
Only E works:
10000/200 = 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
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 447
Joined: Fri Nov 08, 2013 7:25 amFollowed by: 1 member
Thanked: 25 times

by Mathsbuddy » Mon Nov 11, 2013 9:03 am
Similar to previous solutions, but with a comment at the end:

x = my/100

So y = 100x/m

So y% = 10000x/m %

Extra note: the question stipulated that m>0, but it would also work for m<0 (such as a percentage discount). The limiting parameter is there to prevent division by zero (which is not permitted in maths), so as long as m does not equal zero, it will work whether positive or negative.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8138
Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members
Location: Los Angeles, CA
Thanked: 43 times

by Scott@TargetTestPrep » Fri Jul 10, 2015 4:18 am
Sak32 wrote:If m>0 and x is m percent of y, then, in terms of m, y is what percent of x?

The answer is 10000/m.

How did we obtain this answer?
181) If m > 0 and x is m percent of y, then, in terms of m, y is what percent of x?

A. 100m

B. 1/100m

C. 1/m

D. 10/m

E. 10000/m

Solution:

We are given that x is m percent of y. We can express this as:

x = (m/100)y

Note that in the step above, the division of m by 100 has changed m from a percent to a decimal.

x = my/100

We are next asked, in terms of m, y is what percent of x? This can be expressed as:

(y/x) (100) = ?

We need to manipulate our first equation until we isolate y/x.

x = my/100

Multiplying the entire equation by 100 we have:

100x = my

Then divide both sides by x:

100 = my/x

Then divide both sides by m:

100/m = y/x

The final step is to multiply both sides of the equation by 100. We must do this to convert the decimal represented by y/x into a percent.

(100/m) (100) = (y/x) (100)

10,000/m = (y/x) (100)

Answer: E

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1