Joseph receives a total of $950 interest from an investment of $10 000.The interest has been calculated at two different rates.Joseph obtains 8% for $2500 of his investment and a different rate for the remaining amount.The interest rate on the remaining amount is:
Question
Joseph receives a total of 10 000.The interest has been calculated at two different rates.Joseph obtains 8% for $2500 of his investment and a different rate for the remaining amount.The interest rate on the remaining amount is:
Solution
First, let's calculate the interest Joseph received from the $2500 investment at 8%.
Interest = Principal amount * Rate * Time Assuming the time is 1 year, the interest from the 2500 * 8/100 * 1 = $200
Joseph received a total of 950 - 750
The remaining amount of his investment is: 2500 = $7500
Now, let's find the interest rate on the remaining amount. We can use the formula for interest and solve for the rate:
Rate = Interest / (Principal amount * Time) Assuming the time is 1 year, the rate is: Rate = 7500 * 1) = 0.1
So, the interest rate on the remaining amount is 10%.
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