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# If 1/2 an investment portfolio was invested in stocks, 1/5 in a mutual

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Math Expert
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If 1/2 an investment portfolio was invested in stocks, 1/5 in a mutual [#permalink]

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17 Oct 2017, 23:32
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Difficulty:

15% (low)

Question Stats:

80% (00:44) correct 20% (00:47) wrong based on 76 sessions

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If 1/2 an investment portfolio was invested in stocks, 1/5 in a mutual fund, 1/10 in bonds, and the remaining $25,000 in a savings bond, what was the total amount in the portfolio? (A)$100,000
(B) $125,000 (C)$150,000
(D) $200,000 (E)$250,000
[Reveal] Spoiler: OA

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Re: If 1/2 an investment portfolio was invested in stocks, 1/5 in a mutual [#permalink]

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18 Oct 2017, 03:35
Bunuel wrote:
If 1/2 an investment portfolio was invested in stocks, 1/5 in a mutual fund, 1/10 in bonds, and the remaining $25,000 in a savings bond, what was the total amount in the portfolio? (A)$100,000
(B) $125,000 (C)$150,000
(D) $200,000 (E)$250,000

$$(\frac{1}{2} + \frac{1}{5} + \frac{1}{10}) = \frac{8}{10}$$ of the portfolio is held in stocks, a mutual fund, and bonds.

The remaining $25000, held in a savings bond, equals $$(1 -\frac{8}{10}) = \frac{2}{10} = \frac{1}{5}$$ of the total amount. Total amount in the portfolio$25,000 = $$\frac{1}{5}$$ total
$25,000 * 5 =$125,000

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Re: If 1/2 an investment portfolio was invested in stocks, 1/5 in a mutual [#permalink]

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22 Oct 2017, 16:53
Bunuel wrote:
If 1/2 an investment portfolio was invested in stocks, 1/5 in a mutual fund, 1/10 in bonds, and the remaining $25,000 in a savings bond, what was the total amount in the portfolio? (A)$100,000
(B) $125,000 (C)$150,000
(D) $200,000 (E)$250,000

We can let the total investment = n and create the following equation:

(1/2)n + (1/5)n + (1/10)n + 25,000 = n

Multiplying the equation by 10, we have:

5n + 2n + n + 250,000 = 10n

250,000 = 2n

125,000 = n

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Re: If 1/2 an investment portfolio was invested in stocks, 1/5 in a mutual [#permalink]

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23 Oct 2017, 11:19
This was a simple question, the exact question I fear on the GMAT. Tough questions, I seem to do a lot better on. I really am just trying to work on the mechanics of taking clear notes, not skipping steps or making simple errors.

I immediately converted the fractions to have common denominators of 10.

Stocks = 5/10,
mutual funds = 2/10
bonds = 1/10
savings bond = 25,000

-If I sum the fractions, I get 8/10 or 4/5.
-That means the savings bond is 1/5 of the entire portfolio.
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Re: If 1/2 an investment portfolio was invested in stocks, 1/5 in a mutual   [#permalink] 23 Oct 2017, 11:19
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