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Manager  Joined: 22 Sep 2010
Posts: 65
If m > 0 and x is m percent of y, then, in terms of m, y is  [#permalink]

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68 00:00

Difficulty:   55% (hard)

Question Stats: 66% (01:45) correct 34% (01:58) wrong based on 1403 sessions

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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

Originally posted by pzazz12 on 22 Oct 2010, 05:51.
Last edited by Bunuel on 08 Jun 2012, 02:41, edited 1 time in total.
Edited the question and added the OA
Math Expert V
Joined: 02 Sep 2009
Posts: 59634
If m > 0 and x is m percent of y, then, in terms of m, y is  [#permalink]

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pzazz12 wrote:
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

x is m percent of y --> $$y*\frac{m}{100}=x$$;

y is what percent of x --> $$x*\frac{?}{100}=y$$ --> $$?=\frac{y}{x}*100$$ --> as from above $$\frac{y}{x}=\frac{100}{m}$$ then $$?=\frac{y}{x}*100=\frac{100}{m}*100=\frac{10,000}{m}$$.

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

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14
1
x is m percent of y, means

$$x = \frac{my}{100}$$

$$y = \frac{100}{m} * x$$ .................... (1)

Lets say y is "a" percent of x, which means

$$y = \frac{"a" x}{100}$$ ..................... (2)

Equating (1) & (2)

$$\frac{100x}{m} = \frac{"a" x}{100}$$

$$"a" = \frac{100*100}{m}$$

##### General Discussion
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Re: If m > 0 and x is......  [#permalink]

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1
OA?? (Please! always provide Official Answer and if you don't know then mention that you don't know it)
My explanation was same as Bunuel's, so not going to write the explanation.
Intern  Joined: 03 Jan 2013
Posts: 3
If m > 0 and x is m percent of y, then, in terms of m, y is what  [#permalink]

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1
marcusaurelius wrote:
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) 10,000/m

Can someone solve this using a picking numbers strategy?

Let's imagine that m= 2 and y=100
x= 2% from 100 which makes 2.
Now we need to find what percent is y from x.
Y=100 and x=2.
100*100/2, since 2=m, the answer is 10,000/m.

Hope this helps.
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Posts: 55
Schools: Smith '16 (I)
Re: If m > 0 and x is m percent of y, then, in terms of m, y is  [#permalink]

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here is my solution, can someone pl tell what wrong am I doing?

Y=20
x=2
m=10

now Y is (20*100)/2 = 1000% of x. that is, y is 1000% x
and in the answer choices choice 1 I.e 100m is equal 1000 so I marked 1 as answer choice
what is wrong with my approach?
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Joined: 10 Oct 2012
Posts: 583
Re: If m > 0 and x is m percent of y, then, in terms of m, y is  [#permalink]

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2
nikhil007 wrote:
here is my solution, can someone pl tell what wrong am I doing?

Y=20
x=2
m=10

now Y is (20*100)/2 = 1000% of x. that is, y is 1000% x
and in the answer choices choice 1 I.e 100m is equal 1000 so I marked 1 as answer choice
what is wrong with my approach?

There is nothing wrong with your approach. Just that you have two options giving the same answer(A and E). Thus, the value of x,y and m have to be changed.A smarter value to use CAN be : assume that m=100%, that is x=y. Thus, our answer would also be 100% only. Plug-in the value of m=100% and you will see that only E matches.
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Re: If m > 0 and x is......  [#permalink]

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4
Bunuel wrote:
pzazz12 wrote:
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

x is m percent of y --> $$y*\frac{m}{100}=x$$;
y is what percent of x --> $$x*\frac{?}{100}=y$$ --> $$?=\frac{y}{x}*100$$ --> as from above $$\frac{y}{x}=\frac{100}{m}$$ then $$?=\frac{y}{x}*100=\frac{100}{m}*100=\frac{10,000}{m}$$.

You are Genius Bunuel.. I waas getting so confused in this , thankew so much... Manager  Joined: 23 May 2013
Posts: 92
Re: If m > 0 and x is m percent of y, then, in terms of m, y is  [#permalink]

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2
key to solve such problems is to know the below basic rule

To convert Fraction to % => Multipy by 100
eg 1/4 = 25%

To convert % to Fraction => Divide by 100
eg 25% = 25/100 = 1/4
Manager  Joined: 15 Aug 2013
Posts: 227
Re: If m > 0 and x is m percent of y, then, in terms of m, y is  [#permalink]

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Bunuel wrote:
pzazz12 wrote:
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

x is m percent of y --> $$y*\frac{m}{100}=x$$;
y is what percent of x --> $$x*\frac{?}{100}=y$$ --> $$?=\frac{y}{x}*100$$ --> as from above $$\frac{y}{x}=\frac{100}{m}$$ then $$?=\frac{y}{x}*100=\frac{100}{m}*100=\frac{10,000}{m}$$.

Hi Bunuel,

I was with you for almost all of the problem but I lost you in the end. It's the last bit of conversion that screws me up. Let me try with some numbers.

X is m % of Y
If m = 10 and Y = 100, then X = 10.

The question asks, y is what percent of x. Meaning, 100 is what percent of x. I would write that as, 100 = (z/100)(10), this gives me Z as 1,000 %. Correct?

Based on that method, I picked A because 100 * M = 100 * 10 = 1,000.

I know that i'm screwing up on the last part. Would appreciate your help.

Thanks!
Math Expert V
Joined: 02 Sep 2009
Posts: 59634
Re: If m > 0 and x is m percent of y, then, in terms of m, y is  [#permalink]

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russ9 wrote:
Bunuel wrote:
pzazz12 wrote:
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

x is m percent of y --> $$y*\frac{m}{100}=x$$;
y is what percent of x --> $$x*\frac{?}{100}=y$$ --> $$?=\frac{y}{x}*100$$ --> as from above $$\frac{y}{x}=\frac{100}{m}$$ then $$?=\frac{y}{x}*100=\frac{100}{m}*100=\frac{10,000}{m}$$.

Hi Bunuel,

I was with you for almost all of the problem but I lost you in the end. It's the last bit of conversion that screws me up. Let me try with some numbers.

X is m % of Y
If m = 10 and Y = 100, then X = 10.

The question asks, y is what percent of x. Meaning, 100 is what percent of x. I would write that as, 100 = (z/100)(10), this gives me Z as 1,000 %. Correct?

Based on that method, I picked A because 100 * M = 100 * 10 = 1,000.

I know that i'm screwing up on the last part. Would appreciate your help.

Thanks!

For your numbers both A and E fit. For plug-in method it might happen that for some particular number(s) more than one option may give "correct" answer. In this case just pick some other numbers and check again these "correct" options only.
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Re: If m > 0 and x is m percent of y, then, in terms of m, y is  [#permalink]

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$$x=\frac{my}{100}$$

I just replace x by $$\frac{my}{100}$$ in the second equation

$$y=\frac{?}{100}* \frac{my}{100}$$
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Posts: 19
Re: If m > 0 and x is m percent of y, then, in terms of m, y is  [#permalink]

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

1) I state the given as M>0 and translate "x is m percent of y" as X= (m/100)(y)
2) Translate the question as y is what percent of x?=> Y=(W/100)(X) => "in terms of m" would be Y=(M/100)(X) ?
3) re - arrange the equation in step 1 as X/Y =M/100
5) Combine equations from step 3 &4 to get 100/M= M/100
I was confused in these steps and was running out of time to hit the 2 minute mark. I bailed and did

(1) 100/m = Y/X (2) (Y/X) 100 => (100/m)(100) = 10,000/m answer E.

Any help with clarifying/correcting my steps from the first attempt?
A. 100m
B. 1/100m
C. 1/m
D. 10/m
E. 10000/m
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GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: If m > 0 and x is m percent of y, then, in terms of m, y is  [#permalink]

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3
Hi All,

This question can be solved by TESTing VALUES.

We're told that M > 0 and X = M% of Y. We're asked Y is what percent of X.

IF...
M = 50
Y = 20
X = 10

20 is 200% of 10. So we're looking for an answer that equals 200 when M = 50. There's only one answer that matches...

GMAT assassins aren't born, they're made,
Rich
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Re: If m > 0 and x is m percent of y, then, in terms of m, y is  [#permalink]

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GMAT01 wrote:
If m > 0 and x is m percent of y, then, in terms of m, y is what percent of x?

1) I state the given as M>0 and translate "x is m percent of y" as X= (m/100)(y)
2) Translate the question as y is what percent of x?=> Y=(W/100)(X) => "in terms of m" would be Y=(M/100)(X) ?
3) re - arrange the equation in step 1 as X/Y =M/100
5) Combine equations from step 3 &4 to get 100/M= M/100
I was confused in these steps and was running out of time to hit the 2 minute mark. I bailed and did

(1) 100/m = Y/X (2) (Y/X) 100 => (100/m)(100) = 10,000/m answer E.

Any help with clarifying/correcting my steps from the first attempt?
A. 100m
B. 1/100m
C. 1/m
D. 10/m
E. 10000/m

Your steps are correct. You can either assign certain values to x,m,y as done by EMPOWERgmatRichC or can do as follows:
m>0 and x= m% of y = my/100

---> x=my/100 ---> y = 100x/m = (10000/(100m))*x = (10000/m)% of x .

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

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pzazz12 wrote:
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

x is m% of y.
Say 50 = 50% of 100 respectively.

100 is what percent of 50?
That's 200%.
Now only E gives you 200.

You didn't have to solve it.
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Re: If m > 0 and x is m percent of y, then, in terms of m, y is  [#permalink]

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1
pzazz12 wrote:
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

To solve we want to first create a word translation from the information in the problem stem. We are given that x is m percent of y. We can express this as:

x = (m/100)y

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.

100/m * 100 = y/x * 100

10,000/m = y/x * 100

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

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Bunuel wrote:
pzazz12 wrote:
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

x is m percent of y --> $$y*\frac{m}{100}=x$$;

y is what percent of x --> $$x*\frac{?}{100}=y$$ --> $$?=\frac{y}{x}*100$$ --> as from above $$\frac{y}{x}=\frac{100}{m}$$ then $$?=\frac{y}{x}*100=\frac{100}{m}*100=\frac{10,000}{m}$$.

Hello Bunuel,
hope you are having fantastic weekend i have a couple of questions:

y is what percent of x - sjhouldnt we write this expression as $$\frac{y}{100}$$*$$x$$ why do you write like this ? $$x*\frac{?}{100}=y$$ and why put question mark in numerator , and not $$y$$ ? and then how you get $$?=\frac{y}{x}*100$$ Also this whole part, can you please add comments to each step you do so as i can understand the logic as from above $$\frac{y}{x}=\frac{100}{m}$$ then $$?=\frac{y}{x}*100=\frac{100}{m}*100=\frac{10,000}{m}$$.

pushpitkc hello can you please answer my questions above if you have time many thanks Senior PS Moderator V
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If m > 0 and x is m percent of y, then, in terms of m, y is  [#permalink]

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dave13 wrote:
Bunuel wrote:
pzazz12 wrote:
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

x is m percent of y --> $$y*\frac{m}{100}=x$$;

y is what percent of x --> $$x*\frac{?}{100}=y$$ --> $$?=\frac{y}{x}*100$$ --> as from above $$\frac{y}{x}=\frac{100}{m}$$ then $$?=\frac{y}{x}*100=\frac{100}{m}*100=\frac{10,000}{m}$$.

Hello Bunuel,
hope you are having fantastic weekend i have a couple of questions:

y is what percent of x - sjhouldnt we write this expression as $$\frac{y}{100}$$*$$x$$ why do you write like this ? $$x*\frac{?}{100}=y$$ and why put question mark in numerator , and not $$y$$ ? and then how you get $$?=\frac{y}{x}*100$$ Also this whole part, can you please add comments to each step you do so as i can understand the logic as from above $$\frac{y}{x}=\frac{100}{m}$$ then $$?=\frac{y}{x}*100=\frac{100}{m}*100=\frac{10,000}{m}$$.

pushpitkc hello can you please answer my questions above if you have time many thanks Hi dave13

When you are asked y is what percent of x.

If you are not sure what the meaning of that is, a simple method is to assign numbers for x and y.

Let's say y=10 and x=100. Now y is what percent of x. So 10 is what percent of 100? A:10%

The expression $$\frac{y}{100}$$*$$x$$ tranlates to y% of x

Hope that clears the confusion!

The expression $$x*\frac{A}{100}=y$$ can be re-written as $$x*A*(\frac{1}{100})=y$$

Now, $$x*A = 100*y$$ and the expression becomes $$A=\frac{y}{x}*100$$

Hope this helps you!
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Re: If m > 0 and x is m percent of y, then, in terms of m, y is  [#permalink]

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pzazz12 wrote:
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

Given:
1. m > 0
2. x is m percent of y

Asked: In terms of m, y is what percent of x?

x = m% y = my/100
y = 100x/m = (10000/m)% x

IMO E Re: If m > 0 and x is m percent of y, then, in terms of m, y is   [#permalink] 21 Aug 2019, 02:17

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