To find the reserve ratio, we can use the following formula:
\[ \text{Reserve Ratio} = \frac{\text{Reserves}}{\text{Deposits}} \]
First, we need to determine the reserves. Since the bank has $500,000 in deposits and has loaned out $475,000, we can calculate the reserves as follows:
\[ \text{Reserves} = \text{Deposits} - \text{Loans} = 500,000 - 475,000 = 25,000 \]
Now we can plug the values into the reserve ratio formula:
\[ \text{Reserve Ratio} = \frac{25,000}{500,000} \]
Calculating this gives:
\[ \text{Reserve Ratio} = 0.05 \text{ or } 5% \]
Thus, the reserve ratio is 5 percent, so the correct answer is:
c. 5 percent.