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# If x and y are both positive, what percent of x is y?

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Math Expert
Joined: 02 Sep 2009
Posts: 58402
If x and y are both positive, what percent of x is y?  [#permalink]

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20 Dec 2018, 02:30
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Difficulty:

15% (low)

Question Stats:

81% (01:02) correct 19% (01:38) wrong based on 65 sessions

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If x and y are both positive, what percent of x is y ?

(1) 10x - 15y = 0

(2) 4x^2 = 9y^2

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Re: If x and y are both positive, what percent of x is y?  [#permalink]

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20 Dec 2018, 03:32
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Bunuel wrote:
If x and y are both positive, what percent of x is y ?

(1) 10x - 15y = 0

(2) 4x^2 = 9y^2

Given: x and y are both positive. Let p be percent of x=y, p/100*x=y. p=y*100/x, we have to find p.

1) 10x-15y=0, 10x=15y, y=(2/3)*x, y/x=2/3, y/x*100=(2/3)*100=66.66%. Sufficient.

2) 4x^2=9y^2, 2x=+/- 3y, since x and y are both positive, 2x=3y, y/x=2/3, p=2/3*(100)= 66.66%. Sufficient.

IMO, Option D.
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Re: If x and y are both positive, what percent of x is y?   [#permalink] 20 Dec 2018, 03:32
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