SOLUTION: The Big Bull investment club has a portfolio that contains only two stocks. At the end of the year, stock A had gone up 8%, and stock B had gone up 10%. The total portfolio, which

Question 244994: The Big Bull investment club has a portfolio that contains only two stocks. At the end of the year, stock A had gone up 8%, and stock B had gone up 10%. The total portfolio, which had a value of $10,000 at the beginning of the year, went up 9.2%. How much is the investment in stock B?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The Big Bull investment club has a portfolio that contains only two stocks. At the end of the year, stock A had gone up 8%, and stock B had gone up 10%. The total portfolio, which had a value of $10,000 at the beginning of the year, went up 9.2%. How much is the investment in stock B?
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Equation:
interest + interest = interest
0.08x + 0.10(10,000-x) = 0.092(10,000)
Multiply thru by 1000
---
80x + 100*10,000-100x = 92*10,000
-20x = -8*10,000
x = $4000 (amt invested at 8%)
---
10,000-x = $6000 (amt invested at 10%
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Cheers,
Stan H.
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