If m 0, y 0, and x is m percent of 2y, then, in terms of y, m is

Question

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

PareshGmat · Accepted Answer

Answer = E =  \frac{5000}{y}

x = m% of 2y

x = \frac{m}{100} * 2y = \frac{2ym}{100}

m = \frac{50}{y} * x

m = \frac{50*100}{y*100} * x

m = \frac{5000}{y} % of x

General way:

a% of bc = a/100 * bc

Percent means divide by 100 is the golden rule

LighthousePrep · Answer

I did this problem differently than DaVagabond, using some algebraic manipulation as well as properties of fractions and decimals as percentages. My solution is as follows:

For this problem, one needs to know a little about converting to percentages. First, when saying x is m percent of 2y, this means we need to know how to write some number m as a percentage. As percent implies (per one hundred) dividing m by 100 gives us m as a percentage. So we have x is m percent of 2y, or x = (m/100)*2y. This is because when saying x is a certain percentage of another number, you can find x by multiplying the given number by that percentage.

The next property we need to know is how to convert a fraction into a percentage. The problem wants us to find out what percentage m is of x. This value will be equal to (m/x)*100. Whenever finding what percentage some number m is of some number x, one can simply divide m/x and then multiply by 100. For example, when finding what percent 2 is of 3, 2/3 as a percentage, is 200/3, or 66.7%.

Now that we have our equation and our conversion property, we just need to solve.

We need to manipulate x = (m/100)*2y and get a term of (m/x). In doing so we find (m/x) = 50/y. To find (m/x) as a percentage, we just multiply 50/y * 100 which gives us an answer of 5000/y.

So the answer is choice E.

DaVagabond · Answer

Answer:

A = Y/200,

Done this by taking numbers:

Let 10 (x) be 5% (m) of 2 * 100 (y)

Then m/x*100 = 5/10*100 = 50% or 1/2

50% or 1/2 in terms of Y = 100/200 = Y/200

nachobioteck · Answer

I did this by picking number.

2Y = 100 
m =20
therefore x=20

20 = 100% of x therefore the answer is 2Y...

Hopefully this approach is the correct one.

cstew · Answer

I used a similar approach of picking numbers and have the same answer: 2Y

Picking numbers that make calculating % simple, I choose Y = 50, thus 2Y = 100

Any value for m (such as m=25), therefore, m/2y = x = 25/100 = 25%

And.... to find the solution m/x = 25/25 which is 1 (or 100%). Quickly scanning A through E, I see 2y, which is 2(50) = 100. This matches the value I'm looking for. Final answer: 2y

amitshri15 · Answer

Answer is E = 5000/y.

My approach was same as explained by PareshGmat

dabral · Answer

It may also be good idea to look at the original question that this is copied from, Official Guide GMAT Review 2015 Question#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

Show SpoilerOA

E

Discussion here: if-m-0-and-x-is-m-percent-of-y-then-in-terms-of-m-y-is-103387.html?fl=similar

Dabral

askhere · Answer

x= m/100 * 2y

m = z/100 * x . You have to find z in terms of y!!

From first equation : m= x/2y * 100

Therefore x/2y * 100 = z/100 * x

So z = 10000/2y 
 = 5000/y

AliciaSierra · Answer

x = m% of 2y = m*2y/100

x= my/50

m=50x/y

in terms of %

m= 50*100/y % of x

m= 5000/y % of x

JeffTargetTestPrep · Answer

We are given that x is m percent of 2y. Thus:

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 = 2ym/100

100x = 2ym

100/2y = m/x

50/y = m/x

Thus, (m/x)(100) = (50/y)(100) = 5000/y

Answer: E

skysailor · Answer

Here's my approach.

Given: x= m/100 * 2y

Let m = z% of x

m = z/100 * x
m = z/100 * m/100 * 2y (substituting the value of x)
solving for z, we get:
z = 5000/y

Answer: E

udaypratapsingh99 · Answer

If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is what percent of x?

from the statement

X= (m/100) * 2y

we need to find m / X * 100 (m is what percent of x)

interchange x and 2y on either side, we get

1 / 2y = (m/100) * (1 / X)

multiply both sides by 100 * 100

(100 * 100) / 2y = (100 * 100) * (m/100) * (1 / X)

5000 / 2y = 100 * m / X (= m percent of X)

answer is E.

JohnWidestone · Answer

If  m > 0, y > 0 , and  x is m percent of 2y , then,  in terms of y ,  m is what percent of x ?

I. m > 0, y > 0
II. x = m/100 * 2y
III. Eliminate x and m
IV. m = z/100 * x

IV. => m/x = z/100
III. => m/x = 100/2y

=> z/100 = 100/2y

=> z = 100*100/2y = 5000/y

omavsp · Answer

Y = 100

M= 50% of 2*100

X = 100

in terms of y, m is what percent of x?

M is 50 percent of X.

lets check the answers:
A. y/200 =  1/2 
B. 2y =  200 
C. 50y =  5000 
D. 50/y =  1/2 
E. 5000/y =  50

ManishaPrepMinds · Answer

Given: x is m% of 2y 
x = m/100 × 2y
x = 2my/100
 Find: m is what % of x 
(m/x) × 100
= (m ÷ 2my/100) × 100
= 5000/y

Answer: E

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards