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x% of y versus y% of x% of 100

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GreenlightTestPrep
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x% of y versus y% of x% of 100 [#permalink] New post   14 Jun 2022, 06:05
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x > 0 and y > 0

Quantity A
Quantity B
x% of y
y% of x% of 100


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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C
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GreenlightTestPrep
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x% of y versus y% of x% of 100 [#permalink] New post   22 Aug 2022, 11:38
GreenlightTestPrep wrote:
x > 0 and y > 0

Quantity A
Quantity B
x% of y
y% of x% of 100


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.


Key concept: k%\( = \frac{k}{100}\)

So, we get:
QUANTITY A: x% of y \(= (\frac{x}{100})(y) = \frac{xy}{100}\)

QUANTITY B: y% of x% of 100 \(= (\frac{y}{100})(\frac{x}{100})(100) = \frac{100xy}{10,000} = \frac{xy}{100}\)

Answer: C
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Re: x% of y versus y% of x% of 100 [#permalink] New post   22 Aug 2022, 11:54
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Re: x% of y versus y% of x% of 100 [#permalink]
22 Aug 2022, 11:54
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