The simple interset on Rs, 7,300 from 11 May, 1987 to 10 september, 1987 (both days in cluded) at 5 % per annum is

Options

A. Rs 123
B. Rs 103
C. Rs 200
D. Rs 223

Answer

To solve the problem of calculating the simple interest on Rs. 7,300 from 11 May 1987 to 10 September 1987 at a rate of 5% per annum, we can follow these steps:

### Step 1: Calculate the total number of days
We need to find the total number of days from 11 May to 10 September, including both days.

- **May**: From 11th to 31st = 31 - 11 + 1 = 21 days
- **June**: 30 days
- **July**: 31 days
- **August**: 31 days
- **September**: From 1st to 10th = 10 days

Now, we add these days together:
- Total days = 21 (May) + 30 (June) + 31 (July) + 31 (August) + 10 (September) = 123 days

### Step 2: Convert days into years
Since the interest rate is per annum, we need to convert the total days into years.

To convert days into years, we use the formula:
\[ \text{Time in years} = \frac{\text{Number of days}}{365} \]
So,
\[ \text{Time in years} = \frac{123}{365} \]

### Step 3: Use the Simple Interest formula
The formula for simple interest (SI) is:
\[ SI = \frac{P \times R \times T}{100} \]
Where:
- \( P \) = Principal amount = Rs. 7,300
- \( R \) = Rate of interest = 5%
- \( T \) = Time in years = \( \frac{123}{365} \)

Now substituting the values into the formula:
\[ SI = \frac{7300 \times 5 \times \frac{123}{365}}{100} \]

### Step 4: Calculate the Simple Interest
Now, we calculate the simple interest:
1. Calculate \( 7300 \times 5 = 36500 \)
2. Calculate \( \frac{123}{365} \approx 0.337 \) (approximately)
3. Now, substitute back into the formula:
\[ SI = \frac{36500 \times 0.337}{100} \approx \frac{12376.5}{100} \approx 123.76 \]

Thus, the simple interest is approximately Rs. 123.76.

### Final Answer
The simple interest on Rs. 7,300 from 11 May 1987 to 10 September 1987 at 5% per annum is approximately Rs. 123.76.

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