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If 50% of the money in a certain portfolio was invested in stocks, 20%

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If 50% of the money in a certain portfolio was invested in stocks, 20% [#permalink]

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If 50% of the money in a certain portfolio was invested in stocks, 20% in bonds, 15% in real estate, and the remaining $37,500 in a money market fund, what was the total amount invested in the portfolio?

A. $100,000
B. $125,000
C. $175,000
D. $250,000
E. $375,000
[Reveal] Spoiler: OA

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Re: If 50% of the money in a certain portfolio was invested in stocks, 20% [#permalink]

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If 50% of the money in a certain portfolio was invested in stocks, 20% in bonds, 15% in real estate, and the remaining $37,500 in a money market fund, what was the total amount invested in the portfolio?

A. $100,000
B. $125,000
C. $175,000
D. $250,000
E. $375,000


100%x-50%-20%-15%= 15%

15% of x=37500

X=37500*100/15 =250000

Option D

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Re: If 50% of the money in a certain portfolio was invested in stocks, 20% [#permalink]

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SajjadAhmad wrote:
If 50% of the money in a certain portfolio was invested in stocks, 20% in bonds, 15% in real estate, and the remaining $37,500 in a money market fund, what was the total amount invested in the portfolio?

A. $100,000
B. $125,000
C. $175,000
D. $250,000
E. $375,000


Let total amount be 100

Stocks = 50
Bonds = 20
Real Estate = 15

Remaining = 100 - ( 50 + 20 + 15 ) => 15

Now, 15% represents $37,500

So, total amount invested in the portfolio will be 37500/15*100 => $250,000

Answer , must be (D) $250,000
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Re: If 50% of the money in a certain portfolio was invested in stocks, 20% [#permalink]

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New post 10 Apr 2017, 19:11
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Hi SajjadAhmad,

This question can be solved by TESTing THE ANSWERS.

From the prompt, we can see that a relatively small percentage of the portfolio is in the last 'category' (money market fund). So if $37,500 is a small piece of the total, and we're asked for the TOTAL of the portfolio, then a quick scan of the answer choices shows that we should look to TEST one of the larger options first.

Lets TEST Answer D: $250,000

IF the TOTAL is $250,000, then....

50% = $125,000 is in stocks
20% = $50,000 is in bonds
15% = $37,500 is in real estate

85% = $212,500, so the rest equals $250,000 - $212,500 = $37,500. This is an exact MATCH for what we were told, so this MUST be the answer. As an aside, you can actually avoid that last calculation completely if you recognize that we've already accounted for 85% of the total, so there's only 15% remaining AND we already know what 15% is equal to... since we did that calculation already).

Final Answer:
[Reveal] Spoiler:
D


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Re: If 50% of the money in a certain portfolio was invested in stocks, 20% [#permalink]

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SajjadAhmad wrote:
If 50% of the money in a certain portfolio was invested in stocks, 20% in bonds, 15% in real estate, and the remaining $37,500 in a money market fund, what was the total amount invested in the portfolio?

A. $100,000
B. $125,000
C. $175,000
D. $250,000
E. $375,000


We can let n = the total amount of money, in dollars, invested in the portfolio.

We are given that 50% of the money in a certain portfolio was invested in stocks, 20% in bonds, 15% in real estate, and the remaining $37,500 in a money market fund. Thus:

0.5n + 0.2n + 0.15n + 37,500 = n

0.85n + 37,500 = n

37,500 = 0.15n

37,500/0.15 = n

250,000 = n

Answer: D
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Re: If 50% of the money in a certain portfolio was invested in stocks, 20% [#permalink]

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New post 17 Oct 2017, 23:36
100%x-50%-20%-15%= 15%

15% of x=37500

X=37500*100/15 =250000

Option D

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Re: If 50% of the money in a certain portfolio was invested in stocks, 20%   [#permalink] 17 Oct 2017, 23:36
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If 50% of the money in a certain portfolio was invested in stocks, 20%

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