Find the amount and the compound interest on Rs 2500 for 2 years at 10% per annum, compounded annually.

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To find the compound interest and the amount, we can use the following formula:

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

Where:
- \(A\) is the amount,
- \(P\) is the principal (initial investment),
- \(r\) is the rate of interest per annum,
- \(n\) is the number of years.

### Given:
- \(P = 2500\) Rs,
- \(r = 10\%\),
- \(n = 2\) years.

### Step 1: Calculate the Amount

\[
A = 2500 \left(1 + \frac{10}{100}\right)^2
\]
\[
A = 2500 \left(1 + 0.10\right)^2
\]
\[
A = 2500 \times (1.1)^2
\]
\[
A = 2500 \times 1.21 = 3025
\]

So, the amount after 2 years is Rs 3025.

### Step 2: Calculate the Compound Interest

Compound Interest (CI) is given by:

\[
CI = A - P
\]
\[
CI = 3025 - 2500 = 525
\]

Thus, the compound interest is Rs 525.

### Final Answer:
- **Amount** = Rs 3025
- **Compound Interest** = Rs 525

Would you like more details on any of the steps or formulas used?

Here are 5 related questions for further exploration:
1. How would the compound interest change if the rate was 12% instead of 10%?
2. What would the compound interest be if compounded semi-annually instead of annually?
3. How does simple interest compare to compound interest for the same problem?
4. What is the formula for compound interest if compounded monthly?
5. How does the time period affect the amount of compound interest?

**Tip**: When working with compound interest, it's important to note whether it's compounded annually, semi-annually, or monthly, as this affects the calculations.

Find the amount and the compound interest on Rs 2500 for 2 years at 10% per annum, compounded annually.

Learn how to calculate the compound interest and amount on Rs 2500 for 2 years at 10% per annum, compounded annually. This problem uses the compound interest formula and exponential growth concepts. Suitable for students in Grades 8-10.

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