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40 percent of $ 250

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40 percent of $ 250 [#permalink] New post 15 May 2018, 15:27
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Question Stats:

82% (00:17) correct 17% (00:25) wrong based on 35 sessions
Quantity A
Quantity B
40 percent of $250
80 percent of $125


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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Re: 40 percent of $ 250 [#permalink] New post 17 May 2018, 06:38
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Expert's post
Carcass wrote:
Quantity A
Quantity B
40 percent of $250
80 percent of $125


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.


We can write:
Quantity A: (0.4)(250)
Quantity B: (0.8)(125)

Before you resort to using the GRE's onscreen calculator, you might see that we can quickly answer this question using a technique called "Multiplying by Doubling and Halving"
The idea with this premise that: AB = (2A)(B/2)
For example: (4.5)(6) = (9)(3) [we doubled the 4.5 and we halved the 6]

Using this same technique, we can see that (0.4)(250) = (0.8)(125) [we doubled the 0.4 and we halved the 250]

We now have:
Quantity A: (0.8)(125)
Quantity B: (0.8)(125)

Answer: C

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Re: 40 percent of $ 250   [#permalink] 17 May 2018, 06:38
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