Find the simple interest on Rs 3000 at per annum for the period from 4
th 6 Feb,2005 to 1
4 %
18th April 2005

To find the simple interest, we use the formula:

\[
\text{Simple Interest (SI)} = \frac{P \times R \times T}{100}
\]

Where:
- \( P \) is the principal amount (Rs 3000),
- \( R \) is the rate of interest per annum (4\%),
- \( T \) is the time period in years.

### Step 1: Calculate the Time Period \( T \)
- The start date is 6th February 2005.
- The end date is 18th April 2005.

Let's break it down by months:
- From 6th February to 6th March: 1 month (28 days, as 2005 is not a leap year).
- From 6th March to 6th April: 1 month.
- From 6th April to 18th April: 12 days.

Total number of days: \( 28 + 31 + 12 = 71 \) days.

Now, convert this period into years:

\[
T = \frac{71}{365} \text{ years}
\]

### Step 2: Calculate the Simple Interest
Substituting the values into the formula:

\[
SI = \frac{3000 \times 4 \times \frac{71}{365}}{100}
\]

\[
SI = \frac{3000 \times 4 \times 71}{36500} = \frac{852000}{36500} \approx 23.34 \text{ Rs}
\]

So, the simple interest on Rs 3000 for the given period is approximately Rs 23.34.

Would you like more details or have any questions?

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Here are some related questions you might be interested in:
1. How is the simple interest calculated for a period less than a year?
2. What is the difference between simple interest and compound interest?
3. How do we adjust the interest rate if the time period is in days rather than years?
4. What would the interest be if the principal amount were Rs 5000?
5. How does leap year affect interest calculations?

**Tip:** Always ensure that the time period is correctly converted into years when calculating interest over periods less than a year.

Learn how to calculate simple interest on Rs 3000 at 4% per annum for the period from 6th February, 2005 to 18th April, 2005. Includes step-by-step calculation using the simple interest formula. Suitable for students and learners interested in financial mathematics.

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