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

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

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New post 28 Aug 2009, 05:38
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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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Re: x equals to y% of what number? (1) x=3y (2) [#permalink]

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New post 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

Please explain

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

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

z*y%=x

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

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

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New post 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 explain

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

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New post 16 Nov 2010, 06:05
simple one.. but we can get confused if we dont simplify...

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

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New post 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.

Answer: D.

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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