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What percent of x is y?

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Joined: 02 Sep 2009
Posts: 46264
What percent of x is y? [#permalink]

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New post 27 Apr 2017, 02:41
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

73% (00:47) correct 27% (00:52) wrong based on 91 sessions

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Intern
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Joined: 05 Sep 2016
Posts: 21
Location: Israel
Concentration: Economics, Technology
WE: Engineering (Telecommunications)
Re: What percent of x is y? [#permalink]

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New post 27 Apr 2017, 06:57
Bunuel wrote:
What percent of x is y?

(1) The ratio of x to y is 3 : 5.
(2) The ratio of x + 3 to y + 5 is the same as the ratio of x to y.

The prompt ask us actually what is the ratio y/x?
(1) Exactly what we were looking for: y/x =5/3. Sufficient.
(2) (x+3)/(y+5) = x/y
Y(x+3) = x(y+5)
xy +3y = xy + 5x
3y = 5x
y/x = 5/3. Sufficient.

The answer is D.
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Re: What percent of x is y? [#permalink]

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New post 27 Apr 2017, 07:06
kolodits wrote:
Bunuel wrote:
What percent of x is y?

(1) The ratio of x to y is 3 : 5.
(2) The ratio of x + 3 to y + 5 is the same as the ratio of x to y.

The prompt ask us actually what is the ratio y/x?
(1) Exactly what we were looking for: y/x =5/3. Sufficient.
(2) (x+3)/(y+5) = x/y
Y(x+3) = x(y+5)
xy +3y = xy + 5x
3y = 5x
y/x = 5/3. Sufficient.

The answer is D.


STATEMENT 2nd could directly deduce to x/y, as (x+3)/3=(y+5)/5=x/y =>x/y=3/5
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Re: What percent of x is y? [#permalink]

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New post 27 Apr 2017, 07:31
Bunuel wrote:
What percent of x is y?

(1) The ratio of x to y is 3 : 5.
(2) The ratio of x + 3 to y + 5 is the same as the ratio of x to y.


Let y is a% of x. this implies -
y= a% of x, or a%= y/x
So the question asks us to find the ratio y/x

Statement 1: Sufficient. directly provides the ratio

Statement 2: (x+3)/(y+5)=x/y. Cross-multiplying gives us -
xy+3y=xy+5x or y/x=5/3. Sufficient

Hence, Option D
Re: What percent of x is y?   [#permalink] 27 Apr 2017, 07:31
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