Sure! Let's break down the problem and solve it step-by-step.
### Step-by-Step Solution for Simple Interest:
1. Identify the given values:
- Principal (P) = [tex]$1200
- Rate of interest (R) = 12% per annum
- Time (T) = 12 years
2. Convert the rate of interest from percentage to decimal:
- The rate of 12% can be written as 0.12 in decimal form.
3. Write the formula for Simple Interest (SI):
- The formula for simple interest is:
\[
\text{SI} = P \times R \times T
\]
4. Substitute the values into the formula:
- Substitute \(P = 1200\), \(R = 0.12\), and \(T = 12\) into the formula:
\[
\text{SI} = 1200 \times 0.12 \times 12
\]
5. Calculate the result:
- Multiplying these values together, we get:
\[
\text{SI} = 1200 \times 0.12 \times 12 = 1728
\]
Therefore, the simple interest for an amount of $[/tex]1200 at an interest rate of 12% per annum over 12 years is $1728.0.
