find out how much rupees deposited in 4 years and 6 months at 5% interest rate will be rs.2,51,225.

To find out the principal amount (P) that needs to be deposited to get Rs. 2,51,225 after 4 years and 6 months at an interest rate of 5%, we can use the formula for Compound Interest (CI) or Simple Interest (SI). However, since the problem doesn't specify if it's simple or compound interest, we'll assume it's simple interest unless otherwise mentioned.

### Simple Interest Formula:
\[ A = P \times \left(1 + \frac{R \times T}{100}\right) \]

Where:
- \( A \) is the final amount (Rs. 2,51,225)
- \( P \) is the principal amount (to be found)
- \( R \) is the annual interest rate (5%)
- \( T \) is the time period in years (4.5 years, since 4 years and 6 months equals 4.5 years)

### Rearranging the formula to solve for \( P \):
\[ P = \frac{A}{1 + \frac{R \times T}{100}} \]

Now, we can plug in the values:
- \( A = 2,51,225 \) Rupees
- \( R = 5\% \)
- \( T = 4.5 \) years

Let's calculate \( P \).The principal amount that needs to be deposited to get Rs. 2,51,225 after 4 years and 6 months at a 5% interest rate is approximately **Rs. 2,05,081.63**.

Would you like further details or have any questions?

Here are 5 related questions you might find interesting:
1. What would the amount be after 5 years at the same interest rate?
2. How does compound interest compare to simple interest over the same period?
3. What happens to the final amount if the interest rate increases by 1%?
4. How much interest would you earn with a deposit of Rs. 2,05,081.63 after 10 years at 5% simple interest?
5. What would be the principal amount if the interest rate was 6% instead of 5%?

**Tip:** Always double-check whether interest is simple or compound, as it can significantly affect the final amount.

Discover how to calculate the principal amount required to reach Rs. 2,51,225 after 4 years and 6 months at a 5% simple interest rate. This guide covers the simple interest formula and provides a clear solution step-by-step. Suitable for Grades 9-12.

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