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The problem you've provided asks to find the interest on ₹2048 for 3 years, compounded annually at the rate of \( 6\frac{1}{4} \%\) p.a.

This is a compound interest problem, and the formula for compound interest is:

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

Where:
- \(A\) is the amount (principal + interest) after \(t\) years.
- \(P\) is the principal amount (₹2048).
- \(r\) is the annual interest rate (\(6\frac{1}{4} = 6.25\%\)).
- \(t\) is the time period in years (3 years).

Let's calculate it step by step.

### Step 1: Identify the values.
- Principal \(P = 2048\)
- Interest rate \(r = 6.25\%\)
- Time \(t = 3\) years

### Step 2: Apply the formula.
\[
A = 2048 \left(1 + \frac{6.25}{100}\right)^3
\]

Simplifying the inside of the bracket:

\[
A = 2048 \left(1 + 0.0625\right)^3
\]
\[
A = 2048 \left(1.0625\right)^3
\]

Now calculate \( (1.0625)^3 \):

\[
(1.0625)^3 = 1.198
\]

So, the amount \(A\) becomes:

\[
A = 2048 \times 1.198
\]
\[
A \approx 2452.90
\]

### Step 3: Calculate the compound interest.
Compound interest \(CI = A - P\):

\[
CI = 2452.90 - 2048
\]
\[
CI = 404.90
\]

Thus, the compound interest on ₹2048 for 3 years at an annual rate of \(6\frac{1}{4}\%\) is approximately ₹404.90.

---

Would you like to go over any details or have any questions?

Here are some related questions you might find helpful:
1. How does compound interest differ from simple interest?
2. What happens when interest is compounded more frequently, such as semi-annually or quarterly?
3. How would you calculate compound interest for a different time period, such as 5 years?
4. What is the impact of a higher or lower interest rate on compound interest?
5. Can compound interest be negative in any real-world scenarios?

**Tip:** When dealing with compound interest, the frequency of compounding significantly affects the total interest, especially over longer periods.

Find the interest on ₹2048 for 3 years, interest compounded annually at the rate of 6 1/4% p.a.

Learn how to find the compound interest on ₹2048 over 3 years with an annual interest rate of 6.25%. This step-by-step solution involves key concepts such as percentage calculation and exponents, suitable for students in Grades 8-10.

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