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

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Manager
Joined: 20 Aug 2009
Posts: 105
x equals to y% of what number? (1) x=3y (2) [#permalink]

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28 Aug 2009, 05:38
00:00

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: https://gmatclub.com/forum/x-equals-to- ... 08327.html
[Reveal] Spoiler: OA
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Joined: 12 Jun 2009
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Location: United States (NC)
Concentration: Strategy, Finance
Schools: UNC (Kenan-Flagler) - Class of 2013
GMAT 1: 720 Q49 V39
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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
[Reveal] Spoiler:
D

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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
Posts: 129
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.
Manager
Joined: 14 Aug 2009
Posts: 121
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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Joined: 16 Oct 2010
Posts: 7997
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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
[Reveal] Spoiler:
D

_______________________
Please kudos me if you find my post useful

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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Manager
Joined: 01 Apr 2010
Posts: 157
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...
Math Expert
Joined: 02 Sep 2009
Posts: 44388
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: https://gmatclub.com/forum/x-equals-to- ... 08327.html
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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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