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## If 1/2 of the money in a certain trust fund was invested...

tagged by: mariapazos

This topic has 3 expert replies and 1 member reply
mariapazos Newbie | Next Rank: 10 Posts
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#### If 1/2 of the money in a certain trust fund was invested...

Sat Jun 18, 2011 8:56 pm
If 1/2 of the money in a certain trust fund was invested in stocks, 1/4 in bonds, 1/5 in a mutual fund, and the remaining $10.000 in a government certificate, what was the total amount of the trust fund? A.$100.000
B.$150.000 C.$200.000
D.$500.000 E.$2.000.000

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Anurag@Gurome GMAT Instructor
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Sat Jun 18, 2011 10:51 pm
mariapazos wrote:
If 1/2 of the money in a certain trust fund was invested in stocks, 1/4 in bonds, 1/5 in a mutual fund, and the remaining $10.000 in a government certificate, what was the total amount of the trust fund? Remaining money that was invested in government certificate = (1 - 1/2 - 1/4 - 1/5) = 1/20 of the total money. Hence, 1/20 of the total money =$10.000
Hence, total money = $(20*10.000) =$200.000

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manpsingh87 Master | Next Rank: 500 Posts
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Sat Jun 18, 2011 11:40 pm
mariapazos wrote:
If 1/2 of the money in a certain trust fund was invested in stocks, 1/4 in bonds, 1/5 in a mutual fund, and the remaining $10.000 in a government certificate, what was the total amount of the trust fund? A.$100.000
B.$150.000 C.$200.000
D.$500.000 E.$2.000.000
let the initial amount be x;
1/2=50%; 1/4=25%; 1/5=20%;
so remaining 5% is=10;
(5/100)x=10;
x=200; hence C

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GMATGuruNY GMAT Instructor
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Sun Jun 19, 2011 1:41 am
mariapazos wrote:
If 1/2 of the money in a certain trust fund was invested in stocks, 1/4 in bonds, 1/5 in a mutual fund, and the remaining $10.000 in a government certificate, what was the total amount of the trust fund? A.$100.000
B.$150.000 C.$200.000
D.$500.000 E.$2.000.000
We can plug in the answers, which represent the total amount of the trust fund.

Stock investment = 1/2 * 200,000 = 100,000.
Bond investment = 1/4 * 200,000 = 50,000.
Mutual fund investment = 1/5 * 200,000 = 40,000.
Total investment thus far = 100,000 + 50,000 + 40,000 = 190,000.
Amount remaining for government certificate = 200,000 - 190,000 = 10,000. Success!

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Jeff@TargetTestPrep GMAT Instructor
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Thu Dec 07, 2017 9:59 am
mariapazos wrote:
If 1/2 of the money in a certain trust fund was invested in stocks, 1/4 in bonds, 1/5 in a mutual fund, and the remaining $10.000 in a government certificate, what was the total amount of the trust fund? A.$100.000
B.$150.000 C.$200.000
D.$500.000 E.$2.000.000
If we let T = the total amount of the trust fund, we can create the following equation:

(1/2)T + (1/4)T + (1/5)T + 10,000 = T

Multiplying the entire question by 20 gives us:

10T + 5T + 4T + 200,000 = 20T

19T + 200,000 = 20T

200,000 = T

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