Find the present worth of Rs. 9261 due 3 years hence at 5% per annum compounded yearly.

Answer

To find the present worth of Rs. 9261 due 3 years hence at 5% per annum compounded yearly, we can use the formula for present value (PV) in compound interest:

\[ PV = \frac{A}{(1 + r)^n} \]

Where:
- \( A \) is the amount due in the future (Rs. 9261),
- \( r \) is the rate of interest (5% or 0.05),
- \( n \) is the number of years (3 years).

### Step-by-Step Solution:

1. **Identify the values:**
- Future Amount \( A = 9261 \)
- Rate of Interest \( r = 5\% = 0.05 \)
- Number of Years \( n = 3 \)

**Hint:** Make sure to convert the percentage into a decimal for calculations.

2. **Substitute the values into the formula:**
\[ PV = \frac{9261}{(1 + 0.05)^3} \]

**Hint:** Remember to calculate \( (1 + r) \) first.

3. **Calculate \( (1 + r) \):**
\[ 1 + 0.05 = 1.05 \]

**Hint:** This is the growth factor for one year at the given interest rate.

4. **Raise \( 1.05 \) to the power of \( n \):**
\[ (1.05)^3 = 1.157625 \]

**Hint:** Use a calculator for exponentiation if needed.

5. **Substitute back into the formula:**
\[ PV = \frac{9261}{1.157625} \]

**Hint:** This step involves performing the division.

6. **Calculate the present value:**
\[ PV \approx 8000 \]

**Hint:** Round your answer to the nearest whole number if necessary.

### Final Answer:
The present worth of Rs. 9261 due 3 years hence at 5% per annum compounded yearly is approximately Rs. 8000.