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

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If 1/2 of the money in a certain trust fund was invested in  [#permalink]

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New post 14 Mar 2014, 02:21
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

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) S 100,000
(B) S 150,000
(C) S 200,000
(D) S 500,000
(E) $2,000,000

Problem Solving
Question: 165
Category: Arithmetic Operations on rational numbers
Page: 84
Difficulty: 600


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Re: If 1/2 of the money in a certain trust fund was invested in  [#permalink]

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New post 16 Mar 2014, 05:01
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SOLUTION

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) S 100,000
(B) S 150,000
(C) S 200,000
(D) S 500,000
(E) $2,000,000

1/2 + 1/4 + 1/5 = 19/20. Thus the remaining 1/20 was invested in government certificate: 1/20*(total) = 10,000 --> (total) = 200,000.

Answer: C.
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Re: If 1/2 of the money in a certain trust fund was invested in  [#permalink]

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New post 18 Mar 2014, 22:10
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Let the total amount be x

\(\frac{x}{2} + \frac{x}{4} + \frac{x}{5} + 10000 = x\)

\(\frac{x}{20} = 10000\)

x = 200000 = Answer = C
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Re: If 1/2 of the money in a certain trust fund was invested in  [#permalink]

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New post 18 Jul 2015, 00:17
This equation appears really often on the gmat, though with different forms.

Quick tip: remember that the balance is 1/20 when you add up 1/2 + 1/4 + 1/5 + 1/X = 100%
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Re: If 1/2 of the money in a certain trust fund was invested in  [#permalink]

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New post 15 Nov 2016, 08:24
Bunuel 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) S 100,000
(B) S 150,000
(C) S 200,000
(D) S 500,000
(E) $2,000,000


Let the total amount be 20

Trust Fund = 10
Bonds = 5
Mutual Fund = 4

Amount left = 1 ~ $ 10,000

So, Total amount was 20*10000 = $2,00,000

Hence, answer will be (C) $2,00,000
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Re: If 1/2 of the money in a certain trust fund was invested in  [#permalink]

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New post 16 Nov 2016, 08:05
1
Bunuel 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) S 100,000
(B) S 150,000
(C) S 200,000
(D) S 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

Answer: C
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Re: If 1/2 of the money in a certain trust fund was invested in  [#permalink]

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New post 11 Aug 2018, 07:15
Let total amount of money in a trust fund be $x.
Amount invested in stocks=1/2=50%
Amount invested in bonds=1/4=25%
Amount invested in mutual fund=1/5=20%
Add all=50%+25%+20%=95%, Left=5%
5% of x=10000, x=200000

Answer(C)
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Re: If 1/2 of the money in a certain trust fund was invested in &nbs [#permalink] 11 Aug 2018, 07:15
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