Given:-
Simple intrest is $1240. Rate is 4.00%. Time is 2 years.
To find:-
The principal amount.
The formula which relates Simple intrest, Rate, Time and Principal amount is,
![I=prt](https://img.qammunity.org/2023/formulas/mathematics/college/bva810h1qjdl13n7wjmo9rw3nxaknkkq5n.png)
So from this the formula for p is,
![p=(I)/(rt)](https://img.qammunity.org/2023/formulas/mathematics/college/g5ah7dpfmmu86lmwuxnjgn22dlfsbbwx6q.png)
Subsituting the known values. we get,
![\begin{gathered} p=(I)/(rt) \\ p=(1240)/(0.04*2) \\ p=(1240)/(0.08) \\ p=(124000)/(8) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/lv1t1tdsxfvezg7yzf2qkwbpywn7ne2ocb.png)
By simplifying the above equation. we get the value of p,
![\begin{gathered} p=(124000)/(8) \\ p=(31000)/(2) \\ p=15500 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/pvqvrupqdh1946k1213ru9dgl8xzxm0lsx.png)
So the principle amount value is 15500.