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GRE Math Challenge #27-A part of $10,000 inheritance

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GRE Math Challenge #27-A part of $10,000 inheritance [#permalink] New post 19 Sep 2014, 02:48
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Question Stats:

80% (01:00) correct 20% (00:55) wrong based on 10 sessions
A part of $10,000 inheritance was invested at 4% and the remainder was invested at 6%. The total simple annual interest earned on the $10,000 at the end of the year was $520.

Column A: amount invested at 4%
Column B: amount invested at 6%


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: GRE Math Challenge #27-A part of $10,000 inheritance [#permalink] New post 08 Mar 2018, 01:24
sandy wrote:
A part of $10,000 inheritance was invested at 4% and the remainder was invested at 6%. The total simple annual interest earned on the $10,000 at the end of the year was $520.

Column A: amount invested at 4%
Column B: amount invested at 6%


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.


Let's set the amount invested with 4% is x; the one with 6% is y.

x+y=10,000------------> 2x+2y=20,000(1)

0.04x+0.06y=520 -----> 2x+3y=26,000 (2)

(2)-(1) y=6,000

x=4,000

So, B>A
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Re: GRE Math Challenge #27-A part of $10,000 inheritance [#permalink] New post 08 Mar 2018, 06:02
Amount invested at 4% = 10000 x .01 x 4 = $400
Amount invested at 6% = 10000 - 400 = 9600 x .01 x 6 = $576

Thus the remainder of $10k at 6% after the 4% investment is greater. A < B
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Re: GRE Math Challenge #27-A part of $10,000 inheritance [#permalink] New post 08 Mar 2018, 07:09
Jchenn14 wrote:
Amount invested at 4% = 10000 x .01 x 4 = $400
Amount invested at 6% = 10000 - 400 = 9600 x .01 x 6 = $576

Thus the remainder of $10k at 6% after the 4% investment is greater. A < B


No, not this way. pay attention to the simple interest amout, and what does it mean by x and Y.
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Re: GRE Math Challenge #27-A part of $10,000 inheritance [#permalink] New post 08 Mar 2018, 08:31
Just realized I completely misread the question

Posted from my mobile device Image
Re: GRE Math Challenge #27-A part of $10,000 inheritance   [#permalink] 08 Mar 2018, 08:31
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GRE Math Challenge #27-A part of $10,000 inheritance

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