Answer:
The value of the simple interest and the total value after three years is;
![\begin{gathered} \text{Total interest = 2223 rupees} \\ \text{Total amount = 10023 rupees} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ji5cudodpaue1h6l0w94iqowc6r6lmhq4o.png)
Step-by-step explanation:
Given the following;
![\begin{gathered} \text{ Principal P= 7800 rupees} \\ \text{Annual rate of interest = 9.5\%} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/2esl73btp2fuybfyrzu18od3kk3rywmpkq.png)
We want to find the simple interest and the total amount after three years.
![t=3\text{ years}](https://img.qammunity.org/2023/formulas/mathematics/college/z1l34380f4bzgtqj9r2q4lfhet5kjgevks.png)
The simple interest formula;
![\begin{gathered} I=(Prt)/(100) \\ F=P+I \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/36j6xz3aqzp4khj7wdl9ap9logkr26nsdq.png)
substituting the given values;
![\begin{gathered} I=(7800*9.5*3)/(100) \\ I=2223\text{ rupees} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/witfymptvacbsazjyzhfs0haxeqsmkprh6.png)
![\begin{gathered} F=P+I=7800+2223 \\ F=10,023\text{ rupees} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/x8fkr15yzf5qzq29g6z20w85ityertbfr9.png)
Therefore, the value of the simple interest and the total value after three years is;
![\begin{gathered} \text{Total interest = 2223 rupees} \\ \text{Total amount = 10023 rupees} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ji5cudodpaue1h6l0w94iqowc6r6lmhq4o.png)