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A $500 investment and a $1,500 investment have a combined [#permalink]
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06 Oct 2013, 06:27
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A $500 investment and a $1,500 investment have a combined yearly return of 8.5 percent of the total of the two investments. If the $500 investment has a yearly return of 7 percent, what percent yearly return does the $1,500 investment have? (A) 9% (B) 10% (C) 10\(\frac{5}{8}\)% (D) 11% (E) 12% Suggested time: 30 seconds OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/a500invest ... 68574.html
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Re: A $500 investment and a $1,500 investment have a combined [#permalink]
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06 Oct 2013, 06:47
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jlgdr wrote: A $500 investment and a $1,500 investment have a combined yearly return of 8.5 percent of the total of the two investments. If the $500 investment has a yearly return of 7 percent, what percent yearly return does the $1,500 investment have?
(A) 9% (B) 10% (C) 10\(\frac{5}{8}\)% (D) 11% (E) 12%
Suggested time: 30 seconds The equation we can form the question : Return on Total Investment = Sum of individual Investments \((500+1500) (8.5) = (500*7) + (1500x)\), where x is the return on investment of 1500. Solving the equation, we get x = 9% ( Option A )
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Re: A $500 investment and a $1,500 investment have a combined [#permalink]
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06 Oct 2013, 07:31
jlgdr wrote: A $500 investment and a $1,500 investment have a combined yearly return of 8.5 percent of the total of the two investments. If the $500 investment has a yearly return of 7 percent, what percent yearly return does the $1,500 investment have?
(A) 9% (B) 10% (C) 10\(\frac{5}{8}\)% (D) 11% (E) 12%
Suggested time: 30 seconds We can also try differentials approach. 1.5+3y=0. Then y=0.5. So 8.5%+0.5%=9% Answer (A)



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Re: A $500 investment and a $1,500 investment have a combined [#permalink]
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29 Dec 2013, 04:35
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jlgdr wrote: A $500 investment and a $1,500 investment have a combined yearly return of 8.5 percent of the total of the two investments. If the $500 investment has a yearly return of 7 percent, what percent yearly return does the $1,500 investment have?
(A) 9% (B) 10% (C) 10\(\frac{5}{8}\)% (D) 11% (E) 12%
Suggested time: 30 seconds 1% of 2000 = 20.. 8.5% of 2000 = 170. 1% of 500 = 5 and 7% of 500 = 35.. 170  35 = 135 > 135/1500 = 9*15/100*15 = 9/100, hence answer A. This took me closer to 90 secs rather than 30.



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Re: A $500 investment and a $1,500 investment have a combined [#permalink]
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24 Mar 2015, 16:38
500/ (500+1500) * 7 + 1500 / (500+1500) * x = 8.5
1.75 + 3/4 * x = 8.5
3/4 x = 6.75
x = 9
Took me about 2 minutes though.



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Re: A $500 investment and a $1,500 investment have a combined [#permalink]
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26 Jun 2017, 19:11
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Alternative 30second approach:
The $500 and $1500 investments are in the ratio 1:3, hence the $1500 investment is responsible for 3/4 of the total investment returns. We know the total average return is 8.5% and the $500 investment yields a 7% return, which is 1.5% away from the average.
Hence, the $1500 must be 1/3 of the distance away from the average as compared to the $500 investment. 1/3 of 1.5% is 0.5%.
8.5% + 0.5% = 9%. Answer: A.



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Re: A $500 investment and a $1,500 investment have a combined [#permalink]
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26 Jun 2017, 22:56
x  8.5/(8.57) = 1/3 3x  25.5 = 1.5 3x = 27 x = 9. Ans  A.
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Re: A $500 investment and a $1,500 investment have a combined [#permalink]
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27 Jun 2017, 03:52
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jlgdr wrote: A $500 investment and a $1,500 investment have a combined yearly return of 8.5 percent of the total of the two investments. If the $500 investment has a yearly return of 7 percent, what percent yearly return does the $1,500 investment have?
(A) 9% (B) 10% (C) 10\(\frac{5}{8}\)% (D) 11% (E) 12%
Suggested time: 30 seconds Total principal \(= 500 + 1500 = $2000\)
Combined return on Principal is 8.5% = 8.5% of 2000 \(= \frac{8.5}{100}* 2000 = 170\)
Interest received on $500 is 7% = 7% of 500 \(= \frac{7}{100}* 500 = 35\)
Let rate of interest on $1500 be \(x\).
Total interest received = Interest received on $500 + Interest received on $1500
\(170 = 35 + (\frac{1500 * x}{100})\)
\(170 = \frac{3500 + 1500*x}{100}\)
\(17000 = 3500 + 1500*x\)
\(1500* x = 17000  3500\)
\(x = \frac{13500}{1500} = 9\)%. Answer (A) ...



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Re: A $500 investment and a $1,500 investment have a combined [#permalink]
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27 Jun 2017, 14:29
A $500 investment and a $1,500 investment have a combined yearly return of 8.5 percent of the total of the two investments. If the $500 investment has a yearly return of 7 percent, what percent yearly return does the $1,500 investment have?Total Amount = $500 + $1,500 = $2,000 Interest on Total Amount: \(= 2000 * \frac{8.5}{100}\) \(= $170\) Interest Amount on $500 \(= 500 * \frac{7}{100}\) \(= $35\) Interest Amount for $500 + Interest Amount for $1500 = Interest Amount for $200035 + Interest Amount for $1500 \(= 170\) Interest Amount for $1500 \(= 170  35\) Interest Amount for $1500 \(= 135\) 135 is what % of 1500? \(= \frac{135}{1500} * 100\) = 9%Hence, Answer is A
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Re: A $500 investment and a $1,500 investment have a combined [#permalink]
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26 Dec 2017, 03:51
A $500 investment and a $1,500 investment have a combined yearly return of 8.5 percent of the total of the two investments. If the $500 investment has a yearly return of 7 percent, what percent yearly return does the $1 ,500 investment have?(A) 9% (B) 10% (C) 10 5/8% (D) 11% (E) 12% The ratio of investments is 500:1,500 = 1:3. The deviation from the average return from $500 investment and $1,500 investment must be in the ration 3:1. $500 investment return has the deviation from the mean of 8.57=1.5%, thus $1,500 investment return must have the deviation from the mean equal to 0.5%, which means that $1 ,500 investment has 8.5+0.5=9% yearly return. Answer: A. OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/a500invest ... 68574.html
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