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If 1/2 of the money in a certain trust fund was invested in
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14 Mar 2014, 02:21
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The Official Guide For GMAT® Quantitative Review, 2ND EditionIf 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 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you!
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Re: If 1/2 of the money in a certain trust fund was invested in
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16 Mar 2014, 05:01
SOLUTIONIf 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
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18 Mar 2014, 22:10
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
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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
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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
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16 Nov 2016, 08:05
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
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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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