1953 AHSME Problems/Problem 17
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Problem
A man has part of $ invested at % and the rest at %. If his annual return on each investment is the same, the average rate of interest which he realizes of the $4500 is:
Solution
You are trying to find , where is the principle for one investment. To find , solve . will come out to be . Then, plug in x into the first equation, , to get . Finally, convert that to a percentage and you get .