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The problem provided in Hindi translates to the following:

- A principal amount of ₹10,00,000 is invested for 2 years.
- The difference between compound interest (compounded annually) and simple interest is ₹2401.
- We are asked to find the annual interest rate.

### Let's break this down:

- **Principal (P)** = ₹10,00,000
- **Time (T)** = 2 years
- **Difference between Compound Interest (CI) and Simple Interest (SI)** = ₹2401

We know the formula for the difference between Compound Interest and Simple Interest for 2 years:
\[
\text{CI} - \text{SI} = P \times \left(\frac{R}{100}\right)^2
\]
Where:
- \( R \) is the annual interest rate (which we need to find).

### Substituting the known values:
\[
2401 = 10,00,000 \times \left(\frac{R}{100}\right)^2
\]
Simplifying:
\[
2401 = 10,00,000 \times \frac{R^2}{10000}
\]
\[
2401 = 100 \times R^2
\]
\[
R^2 = \frac{2401}{100} = 24.01
\]
\[
R = \sqrt{24.01} \approx 4.9\%
\]

### Therefore, the annual interest rate is approximately **4.9%**.

Would you like further details or have any questions?

Here are five related questions to deepen your understanding:

1. How does compound interest differ from simple interest in terms of calculation?
2. What is the formula for compound interest and how does it work for different compounding periods (monthly, quarterly, etc.)?
3. Can you explain how the interest rate affects the difference between compound and simple interest over time?
4. How would the interest rate change if the compounding was done semi-annually instead of annually?
5. What would happen to the difference between CI and SI if the time period was extended to 3 years?

**Tip:** When dealing with compound interest, small changes in the interest rate or the time period can significantly affect the total interest earned.

₹10,00,000 की राशि पर 2 वर्षों के लिए चक्रवृद्धि ब्याज (वार्षिक रूप से संयोजित) और साधारण ब्याज के बीच का अंतर ₹2401 है। प्रति वर्ष ब्याज दर ज्ञात कीजिए।

Solve the problem of finding the annual interest rate where the difference between compound and simple interest on ₹10,00,000 for 2 years is ₹2401. Learn the formulas and steps involved in this interest rate calculation.

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