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x is a positive number, and y is 30 percent of x.

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huda
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x is a positive number, and y is 30 percent of x. [#permalink] New post   14 Sep 2019, 05:12
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x is a positive number, and y is 30 percent of x.

Quantity A
Quantity B
25 percent of y
55 percent of x


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given
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B
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GreenlightTestPrep
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Re: x is a positive number, and y is 30 percent of x. [#permalink] New post   14 Sep 2019, 06:58
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huda wrote:
x is a positive number, and y is 30 percent of x.

Quantity A
Quantity B
25 percent of y
55 percent of x



Let's write everything in terms of x

GIVEN: y is 30 percent of x.
So, y = 0.3x

Quantity A: 25 percent of y = 0.25y = 0.25(0.3x) = 0.075x
Quantity B: 55 percent of x = 0.55x

Subtract 0.075x from both quantities to get:
Quantity A: 0
Quantity B: 0.475x

Since x is POSITIVE, we know that 0.475x > 0

Answer: B

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Brent
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Re: x is a positive number, and y is 30 percent of x. [#permalink]
14 Sep 2019, 06:58
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