Question

Stephen borrows $10,000 from his uncle at a simple interest rate of 2%. He replays the loan in full in 3 years. How much money did Stephen pay his uncle back in total?

Answer 1

To calculate the total amount Stephen paid back to his uncle, we need to find the interest on the loan and then add it to the principal amount borrowed.

The formula for calculating simple interest is:

\[
\text{Interest} = \text{Principal} \times \text{Rate} \times \text{Time}
\]

Where:
- Principal = $10,000
- Rate = 2% = 0.02 (as a decimal)
- Time = 3 years

Now, substituting the values into the formula gives us:

\[
\text{Interest} = 10,000 \times 0.02 \times 3
\]
\[
\text{Interest} = 10,000 \times 0.06
\]
\[
\text{Interest} = 600
\]

Now, we need to add the interest to the principal to find the total amount Stephen paid back:

\[
\text{Total Amount} = \text{Principal} + \text{Interest} = 10,000 + 600 = 10,600
\]

Thus, Stephen paid his uncle back a total of **$10,600**.