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Bunuel
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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

Bunuel

­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 If $x should be withdrawn from the current portfolio for the new investments, then the portfolio, and each investment, should be decreased by \(\frac{x}{100,000}*100% = \frac{x}{1,000}%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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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

Bunuel

­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 If $x should be withdrawn from the current portfolio for the new investments, then the portfolio, and each investment, should be decreased by \(\frac{x}{100,000}*100% = \frac{x}{1,000}%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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Thank you Bunuel
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Simply put in words,
There are 5 different investments
Total invested=100,000
If p% is taken from each 5, it is equal to p% of total (take a smaller number and think)
That is re-invested, called x dollars
Therefore, p% of 100,000=x
p=(x/100,000)X100

Thanks.
Bunuel

­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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GMAT-Club-Forum-rr2ceooj.png
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Harsha
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the most simplest way to do it, thank you for the explanation
mandilwar
Simply put in words,
There are 5 different investments
Total invested=100,000
If p% is taken from each 5, it is equal to p% of total (take a smaller number and think)
That is re-invested, called x dollars
Therefore, p% of 100,000=x
p=(x/100,000)X100

Thanks.

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GMAT-Club-Forum-rr2ceooj.png
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