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sandy
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GRE 1: Q167 V156
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0 < x < 100 [#permalink] New post   10 Jun 2018, 04:46
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0 < x < 100

Quantity A
Quantity B
x% of 0.5% of 40,000
0.05% of 2,000% of 40x


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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A
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msk0657
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Re: 0 < x < 100 [#permalink] New post   13 Jun 2018, 22:35
sandy wrote:
0 < x < 100

Quantity A
Quantity B
x% of 0.5% of 40,000
0.05% of 2,000% of 40x


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.



Col A => x/100 ( 1/ (2* 100) ) * 40000 => 2x.

Col B => 5 / ( 100 * 100) * 2000/ 100 * 40x => 0.4x

A > B. Whatever the value of x, since is x is +ve itself.

A.
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sandy
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GRE 1: Q167 V156
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Re: 0 < x < 100 [#permalink] New post   11 Jul 2018, 15:55
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Explanation

When a percent contains a variable, use fractions to translate. Quantity A is:

\(\frac{x}{100}\times \frac{0.5}{100} \times 40000=2x\)

Quantity B is:

\(\frac{0.05}{100}\times \frac{2000}{100} \times 40x= 0.04x\)

Since x is positive, Quantity A is greater (this is true even if x is a fraction).
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Re: 0 < x < 100 [#permalink] New post   24 Apr 2022, 02:51
1
Assume x = 10
Quantity A: x% of 0.5% x 40,000 = 10/100 x 0.5/100 x 40,000 = 20
Quantity B: 0.05% of 2,000% of 40x = 0.05/100 x 2,000/100 x 40 x 10 = 4
20 > 4

Correct Answer: A)The quantity in Column A is greater.
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Re: 0 < x < 100 [#permalink] New post   04 Aug 2024, 00:50
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: 0 < x < 100 [#permalink]
04 Aug 2024, 00:50
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