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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

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 \(?=\frac{y}{x}*100=\frac{100}{m}*100=\frac{10,000}{m}\).

Answer: E (for me) 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.
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If m > 0 and x is m percent of y, then, in terms of m, y is what [#permalink]

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10 Feb 2013, 04:28

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.

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

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03 May 2013, 10:02

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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Life is very similar to a boxing ring. Defeat is not final when you fall down… It is final when you refuse to get up and fight back!

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

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03 May 2013, 12:09

1

This post received KUDOS

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.
_________________

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 \(?=\frac{y}{x}*100=\frac{100}{m}*100=\frac{10,000}{m}\).

Answer: E.

You are Genius Bunuel.. I waas getting so confused in this , thankew so much...

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

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28 Oct 2014, 18:34

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 \(?=\frac{y}{x}*100=\frac{100}{m}*100=\frac{10,000}{m}\).

Answer: E.

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.

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 \(?=\frac{y}{x}*100=\frac{100}{m}*100=\frac{10,000}{m}\).

Answer: E.

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.
_________________

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

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28 Nov 2015, 14:09

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

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

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

Answer is E.
_________________

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