At what rate percent per annum simple interest will Rs 1 produce Rs 9 in 60 Years ?

Options

A. a. 5 %
B. b. 10 %
C. c. 15 %
D. d. 20 %

Answer

To find the rate percent per annum simple interest that will turn Rs 1 into Rs 9 in 60 years, we can use the formula for simple interest:

\[ \text{SI} = \frac{P \times R \times T}{100} \]

Where:
- SI = Simple Interest
- P = Principal amount (initial investment)
- R = Rate of interest per annum
- T = Time in years

### Step-by-Step Solution:

1. **Identify the values:**
- Principal (P) = Rs 1
- Simple Interest (SI) = Rs 9
- Time (T) = 60 years

2. **Substitute the values into the formula:**
\[ 9 = \frac{1 \times R \times 60}{100} \]

3. **Multiply both sides by 100 to eliminate the fraction:**
\[ 900 = 1 \times R \times 60 \]

4. **Simplify the equation:**
\[ 900 = 60R \]

5. **Solve for R:**
\[ R = \frac{900}{60} \]
\[ R = 15 \]

6. **Conclusion:**
The rate of interest is 15% per annum.