Find the simple interest on Rs. 7300 at 15% per annum from April 28 to November 4.

Options

A. `"Rs 500"`
B. `"Rs 540"`
C. `"Rs 570"`
D. `"Rs 550"`

Explanation

To find the simple interest on Rs. 7300 at 15% per annum from April 28 to November 4, we will follow these steps:

### Step 1: Identify the Principal, Rate, and Time
- **Principal (P)** = Rs. 7300
- **Rate (R)** = 15% per annum

### Step 2: Calculate the Time Period
We need to calculate the time from April 28 to November 4.

1. **Days in April**: From April 28 to April 30 = 2 days
2. **Days in May**: 31 days
3. **Days in June**: 30 days
4. **Days in July**: 31 days
5. **Days in August**: 31 days
6. **Days in September**: 30 days
7. **Days in October**: 31 days
8. **Days in November**: From November 1 to November 4 = 4 days

Now, let's add these days together:
- Total days = 2 (April) + 31 (May) + 30 (June) + 31 (July) + 31 (August) + 30 (September) + 31 (October) + 4 (November) = 2 + 31 + 30 + 31 + 31 + 30 + 31 + 4 = 159 days

### Step 3: Convert Time into Years
Since the rate is per annum, we need to convert the time into years:
- Time (T) = 159 days = \( \frac{159}{365} \) years

### Step 4: Use the Simple Interest Formula
The formula for Simple Interest (SI) is:
\[ \text{SI} = \frac{P \times R \times T}{100} \]

Substituting the values:
- \( P = 7300 \)
- \( R = 15 \)
- \( T = \frac{159}{365} \)

So,
\[ \text{SI} = \frac{7300 \times 15 \times \frac{159}{365}}{100} \]

### Step 5: Calculate the Simple Interest
Now, let's calculate it step by step:
1. Calculate \( 7300 \times 15 = 109500 \)
2. Then, calculate \( 109500 \times \frac{159}{365} = \frac{109500 \times 159}{365} \)
3. Finally, divide by 100 to get the Simple Interest.

Calculating:
\[ \text{SI} = \frac{109500 \times 159}{365 \times 100} \]
\[ \text{SI} = \frac{17410500}{36500} \approx 477.24 \]

### Final Result
The Simple Interest is approximately Rs. 477.24.