Find the simple interest on 7200 at 8% per annum for 10 months.

Options

A. 480
B. 450
C. 420
D. 410

Answer

To find the simple interest on a principal amount of 7200 at an interest rate of 8% per annum for a duration of 10 months, we can follow these steps:

### Step 1: Identify the given values
- Principal (P) = 7200
- Rate of interest (R) = 8% per annum
- Time (T) = 10 months

### Step 2: Convert time from months to years
Since the rate is given per annum, we need to convert the time from months to years.
- 10 months can be converted to years by dividing by 12:
\[ T = \frac{10}{12} = \frac{5}{6} \text{ years} \]

### Step 3: Use the Simple Interest formula
The formula for calculating Simple Interest (SI) is:
\[ SI = \frac{P \times R \times T}{100} \]
Where:
- SI = Simple Interest
- P = Principal
- R = Rate of interest
- T = Time in years

### Step 4: Substitute the values into the formula
Now we substitute the known values into the formula:
\[ SI = \frac{7200 \times 8 \times \frac{5}{6}}{100} \]

### Step 5: Simplify the calculation
First, calculate the multiplication in the numerator:
\[ 7200 \times 8 = 57600 \]
Now, multiply by \(\frac{5}{6}\):
\[ 57600 \times \frac{5}{6} = 48000 \]
Now divide by 100:
\[ SI = \frac{48000}{100} = 480 \]

### Conclusion
The simple interest on 7200 at 8% per annum for 10 months is **480**.

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