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

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Senior Manager
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If 1/2 an investment portfolio was invested in stocks, 1/5 [#permalink]  17 Oct 2017, 22:26
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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

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Re: If 1/2 an investment portfolio was invested in stocks, 1/5 [#permalink]  18 Oct 2017, 05:32
The information can be translated into numbers as $$[1-(\frac{1}{2}+\frac{1}{5}+\frac{1}{10})]x = 25,000$$. Solving we get $$\frac{1}{5}x = 25,000$$ and x = 125,000, the total amount of the portfolio.

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Re: If 1/2 an investment portfolio was invested in stocks, 1/5 [#permalink]  08 Jan 2018, 10:45
Expert's post
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   [#permalink] 08 Jan 2018, 10:45
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