The Solution.
By formula, simple interest is given as below:
![I=\frac{\text{PRT}}{100}](https://img.qammunity.org/2023/formulas/mathematics/high-school/b5ssdme3vvrjvv0gy4uokzw1mj3t61zdkp.png)
In this case,
![\begin{gathered} I=\text{ \$63} \\ P=\text{ \$700} \\ T=3\text{years} \\ R=\text{?} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/km3o9zjlsw0ut8nqutpycdz37vsnn2444b.png)
Substituting the above values in the formula, we get
![63=(700* R*3)/(100)](https://img.qammunity.org/2023/formulas/mathematics/college/h7wwcdabs083vd5lshu2jhaayo2j6m50qw.png)
Solving the above equation, we get
![\begin{gathered} 63=7* R*3 \\ 63=21R \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/95jyijoj5osw7a8vvkgovszvas3wo6o7ev.png)
Dividing both sides by 21, we get
![R=(63)/(21)=3\text{ \%}](https://img.qammunity.org/2023/formulas/mathematics/college/dlbvkqjhvmp30e31b00vmzmtc7l6ip1h6o.png)
So, the interest rate is 3%.
Thus, the correct answer is 3%