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x equals to y% of what number? (1) x = 3y (2) 6y + 2x = 56x/14

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craky
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x equals to y% of what number? (1) x = 3y (2) 6y + 2x = 56x/14 [#permalink] New post   27 Jan 2011, 02:38
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70% (01:22) correct 30% (01:27) wrong based on 73 sessions
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x equals to y% of what number?

(1) x = 3y
(2) 6y + 2x = 56x/14

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Can you please explain the answer to this DS question from test by https://www.realtestquestions.com?
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D
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Bunuel
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Re: x equals to y% of what number? (1) x = 3y (2) 6y + 2x = 56x/14 [#permalink] New post   27 Jan 2011, 02:59
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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.
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Re: x equals to y% of what number? (1) x = 3y (2) 6y + 2x = 56x/14 [#permalink] New post   27 Jan 2011, 03:48
Awesome, thanks! It seems pretty easy now.
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Re: x equals to y% of what number? (1) x = 3y (2) 6y + 2x = 56x/14 [#permalink] New post   24 Jun 2016, 05:57
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Bunuel wrote:
X equals to Y% of what number?

(1) X = 3Y.
(2) 6Y+2X = 56X/14.



Hi,
X equals to Y% of what number MEANS X = Y/100 of N....
so \(N = \frac{100X}{Y}\)..
so we are looking for ratio of x and y..

lets see the statements-



(1)\(X = 3Y.\)
ratio of x and y can be clearly found
Suff

(2) \(6Y+2X = \frac{56X}{14}\).
All terms are linear and in terms of x and y, so ratio between x and y can be found
Suff

D
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Re: x equals to y% of what number? (1) x = 3y (2) 6y + 2x = 56x/14 [#permalink] New post   24 Jun 2016, 07:06
D

both have same equations when reduced. so gives value of 300
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Re: x equals to y% of what number? (1) x = 3y (2) 6y + 2x = 56x/14 [#permalink] New post   24 Jun 2016, 11:44
Bunuel wrote:
X equals to Y% of what number?

(1) X = 3Y.
(2) 6Y+2X = 56X/14.


Statement 1) X=3Y
Let X=1 then Y becomes 3%, now when need to find 1 is 3% of what no. .. Sufficient.

Statement 2) 6Y + 2X = 56X/14 which reduces to X=3Y .. Sufficient.

Ans D is correct.

Good luck
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Re: x equals to y% of what number? (1) x = 3y (2) 6y + 2x = 56x/14 [#permalink]
24 Jun 2016, 11:44
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