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The graph above shows the distribution of assets in an international

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Bunuel
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The graph above shows the distribution of assets in an international [#permalink] New post   17 Apr 2024, 11:25
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­The graph above shows the distribution of assets in an international investment portfolio on a certain day. The investor wants to make a total of x dollars available for investment in a new asset by decreasing each of the five existing asset categories by p percent. Which of the following expresses p in terms ofx?

A. \(x(10^{-5})\)

B. \(x(10^{-4})\)

C. \(x(10^{-3})\)

D. \(x(10^{-2})\)

E. \(x(10^{-1})\)


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Bunuel
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Re: The graph above shows the distribution of assets in an international [#permalink] New post   17 Apr 2024, 12:14
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Bunuel wrote:

­The graph above shows the distribution of assets in an international investment portfolio on a certain day. The investor wants to make a total of x dollars available for investment in a new asset by decreasing each of the five existing asset categories by p percent. Which of the following expresses p in terms ofx?

A. \(x(10^{-5})\)

B. \(x(10^{-4})\)

C. \(x(10^{-3})\)

D. \(x(10^{-2})\)

E. \(x(10^{-1})\)


Show Spoiler



 

­Currently, the value of the portfolio is $100,000. If $x should be withdrawn from the current portfolio for the new investments, then the portfolio, and each investment, should be decreased by \(\frac{x}{100,000}*100% = \frac{x}{1,000}% = x(10^{-3})%\).

Answer: C.

Alternatively, we can assume x = $1,000. Since the value of the portfolio is $100,000, each asset should be decreased by 1%. By substituting x = $1,000, we can see that only option C results in a 1% decrease.
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AnuK2222
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The graph above shows the distribution of assets in an international [#permalink] New post   20 Apr 2024, 02:11
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answer C : x*(10^−3)
smart numbers is best way to solve this one
let x=10,000, to get value x=10,000 we reduce each asset by 1%
p=1%=1/100
1/100=10,000*(10^-3)
answer is 10^-3­
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The graph above shows the distribution of assets in an international [#permalink] New post   01 May 2024, 12:47
Bunuel , Can you please help me understand why you write the highlighted portion in that way ? Sorry for troubling you ...Thank you in advance..
Bunuel wrote:
Bunuel wrote:

­The graph above shows the distribution of assets in an international investment portfolio on a certain day. The investor wants to make a total of x dollars available for investment in a new asset by decreasing each of the five existing asset categories by p percent. Which of the following expresses p in terms ofx?

A. \(x(10^{-5})\)

B. \(x(10^{-4})\)

C. \(x(10^{-3})\)

D. \(x(10^{-2})\)

E. \(x(10^{-1})\)

 

­Currently, the value of the portfolio is $100,000. If $x should be withdrawn from the current portfolio for the new investments, then the portfolio, and each investment, should be decreased by \(\frac{x}{100,000}*100% = \frac{x}{1,000}% = x(10^{-3})%\).

Answer: C.

Alternatively, we can assume x = $1,000. Since the value of the portfolio is $100,000, each asset should be decreased by 1%. By substituting x = $1,000, we can see that only option C results in a 1% decrease.

­
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Re: The graph above shows the distribution of assets in an international [#permalink] New post   01 May 2024, 13:09
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sayan640 wrote:
Bunuel , Can you please help me understand why you write the highlighted portion in that way ? Sorry for troubling you ...Thank you in advance..
Bunuel wrote:
Bunuel wrote:

­The graph above shows the distribution of assets in an international investment portfolio on a certain day. The investor wants to make a total of x dollars available for investment in a new asset by decreasing each of the five existing asset categories by p percent. Which of the following expresses p in terms ofx?

A. \(x(10^{-5})\)

B. \(x(10^{-4})\)

C. \(x(10^{-3})\)

D. \(x(10^{-2})\)

E. \(x(10^{-1})\)


 

­Currently, the value of the portfolio is $100,000. If $x should be withdrawn from the current portfolio for the new investments, then the portfolio, and each investment, should be decreased by \(\frac{x}{100,000}*100% = \frac{x}{1,000}% = x(10^{-3})%\).

Answer: C.

Alternatively, we can assume x = $1,000. Since the value of the portfolio is $100,000, each asset should be decreased by 1%. By substituting x = $1,000, we can see that only option C results in a 1% decrease.

­

­When you withdraw p percent from each investment, the overall portfolio decreases by the same percentage, p. For instance, let's consider a simpler scenario where a portfolio is valued at $100,000, comprising two investments: one worth $20,000 and another worth $80,000. If we withdraw 10% from each investment, that equates to $2,000 from the first and $8,000 from the second, resulting in a total withdrawal of $10,000. Thus, 10% is withdrawn from the entire portfolio value of $100,000. 
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Re: The graph above shows the distribution of assets in an international [#permalink] New post   01 May 2024, 13:14
Thank you Bunuel
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Re: The graph above shows the distribution of assets in an international [#permalink]
01 May 2024, 13:14
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