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Bunuel
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What percent of x is y? 27 Apr 2017, 02:41
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

25% (medium)

Question Stats:

72% (01:00) correct 28% (01:27) wrong based on 138 sessions

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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.
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D
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kolodits
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What percent of x is y? 27 Apr 2017, 06:57
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Bunuel
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.
Show more
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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What percent of x is y? 27 Apr 2017, 07:06
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kolodits
Bunuel
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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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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What percent of x is y? 27 Apr 2017, 07:31
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Bunuel
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.
Show more

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
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