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# x equals to y% of what number? (1) x=3y (2)

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Manager
Joined: 20 Aug 2009
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x equals to y% of what number? (1) x=3y (2)  [#permalink]

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28 Aug 2009, 05:38
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Difficulty:

65% (hard)

Question Stats:

40% (00:48) correct 60% (00:47) wrong based on 30 sessions

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$$x$$ equals to $$y%$$ of what number?

(1) $$x=3y$$
(2) $$6y+2x=\frac{56x}{14}$$

OPEN DISCUSSION OF THIS QUESTION IS HERE: x-equals-to-y-of-what-number-108327.html

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Re: x equals to y% of what number? (1) x=3y (2)  [#permalink]

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28 Aug 2009, 05:44
CasperMonday wrote:
[/m]x equals to Y% of what number?
(1) $$x=3y$$
(2) $$6y+2x=\frac{56x}{14}$$

OA

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1. x= 3*y. that means x is 3 times whatever Y is so that can be said as 300% of Y. So if Y were to be 10 and then X is 30. If Y's 10 happens to be 10% of 100 then X's percentage can be figured out easily too SUFF
2. if you reduce the fraction on the right you get 4x. moving the 2x over you get 6y=2x and divide by 2 you get 3y=x which is same as 1 so SUFF
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Manager
Joined: 10 Aug 2009
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Re: x equals to y% of what number? (1) x=3y (2)  [#permalink]

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28 Aug 2009, 15:06
x equals y% of what number N? To solve for N you simply need the ratio of x to y
Each statement alone gives the ratio of x to y. so each statement alone is sufficient.
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Re: x equals to y% of what number? (1) x=3y (2)  [#permalink]

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28 Aug 2009, 22:21
suppose z is the number

z*y%=x

from either 1) or 2), z can be found.

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Re: x equals to y% of what number? (1) x=3y (2)  [#permalink]

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10 Nov 2010, 18:43
CasperMonday wrote:
$$x$$ equals to $$y%$$ of what number?
(1) $$x=3y$$
(2) $$6y+2x=\frac{56x}{14}$$

OA

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Questions like these just try to confuse you with 'what are you looking for?'

We know the question is in the question stem so read it carefully:
$$x$$ equals to $$y%$$ of what number? This 'what number' is what I am looking for. So, let me rephrase: $$x$$ equals to $$y%$$ of z or $$x = \frac{y}{100} * z$$
or $$z = \frac{100x}{y}$$

What we want to find is 'z' i.e. x/y

Stmnt 1: x = 3y implies x/y = 3. Hence sufficient to get z
Stmnt 2: $$6y+2x=\frac{56x}{14}$$
Rearrange: 6y = 2x or x/y = 3. Sufficient to get z.
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Joined: 01 Apr 2010
Posts: 142
Re: x equals to y% of what number? (1) x=3y (2)  [#permalink]

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16 Nov 2010, 06:05
simple one.. but we can get confused if we dont simplify...
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Joined: 02 Sep 2009
Posts: 55277
Re: x equals to y% of what number? (1) x=3y (2)  [#permalink]

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21 Aug 2017, 06:47
CasperMonday wrote:
$$x$$ equals to $$y%$$ of what number?

(1) $$x=3y$$
(2) $$6y+2x=\frac{56x}{14}$$

X equals to Y% of what number?

Let the number $$y%$$ of which is $$x$$ be $$z$$ --> $$\frac{y}{100}*z=x$$ --> $$z=\frac{100x}{y}$$. Basically we need to calculate the ratio $$\frac{x}{y}$$.

(1) X = 3Y --> $$\frac{x}{y}=3$$. Sufficient.

(2) 6Y+2X = 56X/14 --> $$6y+2x=4x$$ --> $$6y=2x$$ --> $$\frac{x}{y}=3$$. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: x-equals-to-y-of-what-number-108327.html

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: x equals to y% of what number? (1) x=3y (2)   [#permalink] 21 Aug 2017, 06:47
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