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# If m, r, x and y are positive, the ratio of m to r equal

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If m, r, x and y are positive, the ratio of m to r equal [#permalink]

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27 Apr 2010, 09:52
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If m, r, x and y are positive, the ratio of m to r equal to the ratio x to y?

(1) The ratio of m to y is equal to the ratio of x to r
(2) The ratio of m + x to r + y is equal to the ratio of x to y
[Reveal] Spoiler: OA
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27 Apr 2010, 10:26
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If m, r, x and y are positive, the ratio of m to r equal to the ratio x to y?

Is $$\frac{m}{r}=\frac{x}{y}$$? Is $$my=rx$$?

(1) the ratio of m to y is equal to the ratio of x to r --> $$\frac{m}{y}=\frac{x}{r}$$ --> $$mr=xy$$. Not sufficient.

(2) the ratio of m + x to r + y is equal to the ratio of x to y --> $$\frac{m+x}{r+y}=\frac{x}{y}$$ --> cross multiply --> $$my+xy=rx+xy$$ --> $$my=rx$$. Sufficient.

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Re: How do you solve this in 2 minutes? [#permalink]

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14 May 2010, 12:51
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Let me first start off by saying that I got B, so if that is incorrect, you can ignore the rest of my post!

I put each ratio into fractions, and cross multiplied. The stem asks does m/r=x/y or in other terms, does ym=rx?

In st1, we are told m/y=x/r or rm=yx. Insuf.

In st2, we are told (m+x)/(r+y)=x/y or ym+yx=rx+yx -> ym=rx. Suff
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Re: How do you solve this in 2 minutes? [#permalink]

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14 May 2010, 20:38
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vannbj wrote:
If m, r, x, and y are positive is the ratio of m to r equal to the ratio of x to y?
1) the ratio of m to y is equal to the ratio of x to r
2) the ratio of m + x to r + y is equal to the ratio of x to y

A. statement 1 alone is sufficient but statement 2 is not sufficient
B. statement 2 alone is sufficient but statement 1 is not sufficient
C. Both statements Together are sufficient but neither is sufficient alone
D. Each Statement alone is sufficient
E. Statements 1 and 2 Together are not sufficient

We have: $$\frac{a}{b}=\frac{c}{d}= \frac{a-c}{b-d}= \frac{a+c}{b+d}= \frac{a+kc}{b+kd}$$
1) insuf
2) $$\frac{m+x}{r+y} =\frac{x}{y}= \frac{m+x-x}{r+y-y} = \frac{m}{r}$$ suff
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18 Jul 2010, 20:36
Can anyone help me understand why 1 is insuff? I understand that when you cross multiply 1, you get mr=xy, while the question wants to see xr=my, which 2 provides. Still, I don't see the difference between mr=xy and xr=my.

Sorry for the poor explanation, I just don't understand why 2 is insuff.
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19 Jul 2010, 03:01
masland wrote:
Can anyone help me understand why 1 is insuff? I understand that when you cross multiply 1, you get mr=xy, while the question wants to see xr=my, which 2 provides. Still, I don't see the difference between mr=xy and xr=my.

Sorry for the poor explanation, I just don't understand why 2 is insuff.

Try digits.
Let
m=5
r=4
x=2
y=10

mr=xy (5*4=2*10), but xr not equal to my (2*4 and 5*10).
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Re: If m, r, x, and y are positive, is the ratio of m to r equal [#permalink]

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20 Dec 2011, 09:59
1) m/y = x/r
mr = xy
insufficient

2) [m+x]/[r+y] = x/y
my + xy = rx + xy
my = rx
m/r = x/y
Sufficient
Ans. B
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Re: If m, r, x, and y are positive, is the ratio of m to r equal [#permalink]

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20 Dec 2011, 12:31
is the ratio of m to r equal to the ratio of x to y?
or is m/r=x/y
or is m/x=r/y
Statement 1: m/y=x/r or m/x= y/r. So NO. Sufficient.
Can Someone please tell, what am i doing wrong for statement 1.
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Re: If m, r, x, and y are positive, is the ratio of m to r equal [#permalink]

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06 Jan 2012, 21:43
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BDSunDevil wrote:
is the ratio of m to r equal to the ratio of x to y?
or is m/r=x/y
or is m/x=r/y
Statement 1: m/y=x/r or m/x= y/r. So NO. Sufficient.
Can Someone please tell, what am i doing wrong for statement 1.

I think you are assuming that r/y can never equal y/r.
If y = 1, r = 1, then r/y = y/r.

Such values can show that Statement 1 is sufficient to answer the equation. However, for some other values, Statement 1 will not be sufficient to answer the question. That is why it is INSUFFICIENT.

Statement 2, on the other hand, will always be sufficient because after cross multiplication, the xy will cancel out from both sides of the equation, giving us only the equation my = xr. This is sufficient to answer the question regardless of the values that each of the variables takes. That is why it is SUFFICIENT.

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Re: If m, r, x and y are positive, the ratio of m to r equal [#permalink]

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09 Oct 2013, 13:43
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Re: If m, r, x and y are positive, the ratio of m to r equal [#permalink]

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21 Oct 2014, 08:17
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Re: If m, r, x and y are positive, the ratio of m to r equal [#permalink]

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26 Dec 2014, 13:46
1) m/y = x/r
mr = xy
insufficient

2) [m+x]/[r+y] = x/y
my + xy = rx + xy
my = rx
m/r = x/y
Sufficient
Ans. B
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Re: If m, r, x and y are positive, the ratio of m to r equal [#permalink]

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14 Sep 2015, 03:15
Bunuel wrote:
If m, r, x and y are positive, the ratio of m to r equal to the ratio x to y?

Is $$\frac{m}{r}=\frac{x}{y}$$? Is $$my=rx$$?

(1) the ratio of m to y is equal to the ratio of x to r --> $$\frac{m}{y}=\frac{x}{r}$$ --> $$mr=xy$$. Not sufficient.

(2) the ratio of m + x to r + y is equal to the ratio of x to y --> $$\frac{m+x}{r+y}=\frac{x}{y}$$ --> cross multiply --> $$my+xy=rx+xy$$ --> $$my=rx$$. Sufficient.

Bunuel

The answer according to GMAT Prep is D. Why???
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If m, r, x and y are positive, the ratio of m to r equal [#permalink]

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14 Sep 2015, 03:19
hdwnkr wrote:
Bunuel wrote:
If m, r, x and y are positive, the ratio of m to r equal to the ratio x to y?

Is $$\frac{m}{r}=\frac{x}{y}$$? Is $$my=rx$$?

(1) the ratio of m to y is equal to the ratio of x to r --> $$\frac{m}{y}=\frac{x}{r}$$ --> $$mr=xy$$. Not sufficient.

(2) the ratio of m + x to r + y is equal to the ratio of x to y --> $$\frac{m+x}{r+y}=\frac{x}{y}$$ --> cross multiply --> $$my+xy=rx+xy$$ --> $$my=rx$$. Sufficient.

Bunuel

The answer according to GMAT Prep is D. Why???

Can you please post a screenshot showing D as the answer? Anyway, the correct answer is B, not D, no matter what the source is saying.
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Re: If m, r, x and y are positive, the ratio of m to r equal [#permalink]

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14 Sep 2015, 03:46
Bunuel wrote:
hdwnkr wrote:
Bunuel wrote:
If m, r, x and y are positive, the ratio of m to r equal to the ratio x to y?

Is $$\frac{m}{r}=\frac{x}{y}$$? Is $$my=rx$$?

(1) the ratio of m to y is equal to the ratio of x to r --> $$\frac{m}{y}=\frac{x}{r}$$ --> $$mr=xy$$. Not sufficient.

(2) the ratio of m + x to r + y is equal to the ratio of x to y --> $$\frac{m+x}{r+y}=\frac{x}{y}$$ --> cross multiply --> $$my+xy=rx+xy$$ --> $$my=rx$$. Sufficient.

Bunuel

The answer according to GMAT Prep is D. Why???

Can you please post a screenshot showing D as the answer? Anyway, the correct answer is B, not D, not matter what the source is saying.

My sincere apologies. It is B.
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Re: If m, r, x and y are positive, the ratio of m to r equal [#permalink]

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03 Oct 2015, 09:51
I too have my doubts related to first option being insufficient.
All we need to answer in yes or no way.. Then why statement 1 is insufficient??\
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Re: If m, r, x and y are positive, the ratio of m to r equal [#permalink]

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04 Oct 2015, 12:42
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Hi varundixitmro2512,

You can TEST VALUES to prove that Fact 1 is insufficient. Here's how:

We're told that M, R, X and Y are POSITIVE. We're asked if M/R = X/Y. This is a YES/NO question.

1) M/Y = X/R

IF...
M = 1
Y = 1
X = 1
R = 1
Then the answer to the question.... Is 1/1 = 1/1? is YES.

IF...
M = 2
Y = 2
X = 1
R = 1
Then the answer to the question.... Is 2/1 = 1/2? is NO.
Fact 1 is INSUFFICIENT.

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Re: If m, r, x and y are positive, the ratio of m to r equal [#permalink]

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06 Nov 2016, 22:11
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If m, r, x and y are positive, the ratio of m to r equal [#permalink]

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17 Nov 2016, 11:26
LM wrote:
If m, r, x and y are positive, the ratio of m to r equal to the ratio x to y?

(1) The ratio of m to y is equal to the ratio of x to r
(2) The ratio of m + x to r + y is equal to the ratio of x to y

is m/r = x/y?? or is ym= rx or r = ym/x

FROM 1

m/y = x/r , mr = yx or r = yx/m true only if m=x...which we dont know .... insuff

from 2

m+x/r+y = x/y ...... this implies that m/r is in proportion to x/y i.e. m/r = x/y

to add each of the nominators and the denominators of 2 fractions to yield one of them then they must be equal .

B
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Re: If m, r, x and y are positive, the ratio of m to r equal [#permalink]

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21 Dec 2016, 04:36
hdwnkr wrote:
Bunuel wrote:
If m, r, x and y are positive, the ratio of m to r equal to the ratio x to y?

Is $$\frac{m}{r}=\frac{x}{y}$$? Is $$my=rx$$?

(1) the ratio of m to y is equal to the ratio of x to r --> $$\frac{m}{y}=\frac{x}{r}$$ --> $$mr=xy$$. Not sufficient.

(2) the ratio of m + x to r + y is equal to the ratio of x to y --> $$\frac{m+x}{r+y}=\frac{x}{y}$$ --> cross multiply --> $$my+xy=rx+xy$$ --> $$my=rx$$. Sufficient.

Bunuel

The answer according to GMAT Prep is D. Why???

If GMAT prep has given the answer as D then it should be because statement 1 proves the following condition as false and statement 2 proves it as true so in that case both are sufficient . however it is quite unlikely that should be the ideal scenario.

Secondly 1 should be wrong because it is a yes no situation. It will be true if all the 4 variables are equal and will be false otherwise.
Re: If m, r, x and y are positive, the ratio of m to r equal   [#permalink] 21 Dec 2016, 04:36

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