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0 < x < 100
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10 Jun 2018, 04:46
10 Jun 2018, 04:46
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Expert Reply
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Question Stats:
67% (01:35) correct
32% (01:28) wrong based on 147 sessions
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0 < x < 100
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.
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.
Re: 0 < x < 100
[#permalink]
13 Jun 2018, 22:35
13 Jun 2018, 22:35
sandy wrote:
0 < x < 100
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.
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.
Re: 0 < x < 100
[#permalink]
11 Jul 2018, 15:55
11 Jul 2018, 15:55
Expert Reply
1
Bookmarks
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).
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).
