SOLUTION: An investor invested a total of $900 in two mutual funds. One fund earned a 8% profit while the other earned a 2% profit. If the investor's total profit was $48, how much was inves
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Question 682570: An investor invested a total of $900 in two mutual funds. One fund earned a 8% profit while the other earned a 2% profit. If the investor's total profit was $48, how much was invested in each mutual fund?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Part I 8.00% per annum ------------- Amount invested =x
Part II 2.00% per annum ------------ Amount invested = y =
900
Interest----- 48
Part I 8.00% per annum ---x
Part II 2.00% per annum ---y
Total investment
x + 1 y= 900 -------------1
Interest on both investments
8.00% x + 2.00% y= 48
Multiply by 100
8 x + 2 y= 4800.00 --------2
Multiply (1) by -8
we get
-8 x -8 y= -7200.00
Add this to (2)
0 x -6 y= -2400
divide by -6
y = 400
Part I 8.00% $ 500
Part II 2.00% $ 400
CHECK
500 --------- 8.00% ------- 40.00
400 ------------- 2.00% ------- 8.00
Total -------------------- 48.00
m.ananth@hotmail.ca
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