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# 24 % of 75

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24 % of 75 [#permalink]  26 Jun 2018, 09:07
Expert's post
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Question Stats:

87% (00:16) correct 12% (00:27) wrong based on 33 sessions
 Quantity A Quantity B 24 % of 75 75 % of 24

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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VP
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WE: Engineering (Energy and Utilities)
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Re: 24 % of 75 [#permalink]  26 Jun 2018, 10:24
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Carcass wrote:
 Quantity A Quantity B 24 % of 75 75 % of 24

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.

Here actually by looking at the statement we can say both are equal

Since both numerator and denominator for the both the statement are equal

Statement 1: = $$\frac{24}{100}$$*75

Statement 2: = $$\frac{75}{100}$$*24

Hence statement 1 = Statement 2

Option C
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Re: 24 % of 75 [#permalink]  07 Jun 2019, 06:14
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Expert's post
Carcass wrote:
 Quantity A Quantity B 24% of 75 75% of 24

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.

KEY CONCEPT: x% = $$\frac{x}{100}$$

QUANTITY A: 24% of 75 $$=(\frac{24}{100})(75)=(\frac{24}{100})(\frac{75}{1}) = \frac{(24)(75)}{100}$$

QUANTITY B: 75% of 24$$=(\frac{75}{100})(24)=(\frac{75}{100})(\frac{24}{1}) = \frac{(75)(24)}{100}$$

The two quantities are equal

Cheers,
Brent
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Re: 24 % of 75   [#permalink] 07 Jun 2019, 06:14
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