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

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Math Expert
Joined: 02 Sep 2009
Posts: 50617
If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is  [#permalink]

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10 Nov 2014, 08:20
3
10
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Difficulty:

55% (hard)

Question Stats:

59% (01:45) correct 41% (02:14) wrong based on 240 sessions

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Tough and Tricky questions: Sequences.

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

Kudos for a correct solution.

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Joined: 03 Nov 2009
Posts: 59
Re: If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is  [#permalink]

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10 Nov 2014, 12:48

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
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Re: If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is  [#permalink]

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10 Nov 2014, 13:16
1
1
Bunuel wrote:

Tough and Tricky questions: Sequences.

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

Kudos for a correct solution.

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.
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Re: If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is  [#permalink]

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10 Nov 2014, 13:52
1
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.
Intern
Joined: 16 Oct 2014
Posts: 4
Re: If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is  [#permalink]

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10 Nov 2014, 15:08
nachobioteck wrote:
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.

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
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Re: If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is  [#permalink]

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10 Nov 2014, 19:28
4
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
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Re: If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is  [#permalink]

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10 Nov 2014, 21:13

My approach was same as explained by PareshGmat
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Re: If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is  [#permalink]

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10 Nov 2014, 22:57
1
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

Spoiler: :: OA
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
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Joined: 02 Sep 2009
Posts: 50617
Re: If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is  [#permalink]

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12 Nov 2014, 03:23
Bunuel wrote:

Tough and Tricky questions: Sequences.

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

Kudos for a correct solution.

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Manager
Joined: 12 Nov 2014
Posts: 63
Re: If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is  [#permalink]

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12 Nov 2014, 03:35
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
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Re: If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is  [#permalink]

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12 Nov 2014, 03:49
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
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Re: If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is  [#permalink]

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18 Apr 2017, 15:17
Bunuel wrote:

Tough and Tricky questions: Sequences.

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

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

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Re: If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is  [#permalink]

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19 Apr 2017, 09:40
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

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Re: If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is  [#permalink]

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28 Apr 2018, 10:43
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Re: If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is &nbs [#permalink] 28 Apr 2018, 10:43
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