I.	Find the compound interest on Rs.3,000 for 3 years at 4% p.a.

To find the compound interest on Rs. 3,000 for 3 years at a rate of 4% per annum, we can use the formula:

\[
A = P \left(1 + \frac{r}{100}\right)^n
\]

where:
- \( A \) is the amount after \( n \) years,
- \( P \) is the principal amount (Rs. 3,000 in this case),
- \( r \) is the rate of interest (4% here), and
- \( n \) is the time period (3 years).

Once we have the total amount \( A \), we can calculate the compound interest \( CI \) by using:

\[
CI = A - P
\]

### Step-by-Step Solution:

1. **Identify the values:**
   - \( P = 3000 \)
   - \( r = 4\% \)
   - \( n = 3 \) years

2. **Calculate the amount \( A \):**

   \[
   A = 3000 \times \left(1 + \frac{4}{100}\right)^3
   \]

3. **Simplify inside the parentheses:**

   \[
   A = 3000 \times \left(1 + 0.04\right)^3
   \]
   \[
   = 3000 \times (1.04)^3
   \]

4. **Calculate \( (1.04)^3 \):**

   \[
   (1.04)^3 \approx 1.124864
   \]

5. **Find \( A \):**

   \[
   A \approx 3000 \times 1.124864
   \]
   \[
   \approx 3374.59
   \]

6. **Calculate the compound interest \( CI \):**

   \[
   CI = A - P
   \]
   \[
   CI \approx 3374.59 - 3000
   \]
   \[
   \approx 374.59
   \]

### Answer:
The compound interest on Rs. 3,000 for 3 years at 4% per annum is approximately **Rs. 374.59**.

Would you like further details or have any questions?

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Here are some related questions:

1. How would the compound interest change if the rate were 5% instead of 4%?
2. How would you calculate compound interest if the interest were compounded semi-annually?
3. What is the formula for compound interest when compounded continuously?
4. How does compound interest differ from simple interest in calculations?
5. If the principal were Rs. 5,000 instead of Rs. 3,000, how much would the compound interest be at 4% for 3 years?

**Tip:** When solving for compound interest, always be careful with the power and ensure you use the correct time period for the given compounding frequency.

Find the compound interest on Rs.3,000 for 3 years at 4% p.a.

Explore how to calculate compound interest on Rs.3,000 at 4% per annum over 3 years. Learn step-by-step using the compound interest formula to find an answer of approximately Rs.374.59. Suitable for students in Grades 8-10.

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