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# 0 < x < 100

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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1652 [0], given: 396

0 < x < 100 [#permalink]  10 Jun 2018, 04:46
Expert's post
00:00

Question Stats:

82% (01:11) correct 17% (01:05) wrong based on 17 sessions
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.
[Reveal] Spoiler: OA

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Sandy
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GRE Forum Moderator
Joined: 29 May 2018
Posts: 118
Followers: 0

Kudos [?]: 77 [0], given: 3

Re: 0 < x < 100 [#permalink]  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.
GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1652 [0], given: 396

Re: 0 < x < 100 [#permalink]  11 Jul 2018, 15:55
Expert's post
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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Sandy
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Re: 0 < x < 100   [#permalink] 11 Jul 2018, 15:55
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