How many years will it take for amount of rs. 600 to yield rs. 120 as interest at 10% per annum of S.I.?

Options

A. a. 1 year
B. b. 2year
C. c. 3 year
D. d. 4 year

Answer

To solve the problem of how many years it will take for an amount of Rs. 600 to yield Rs. 120 as interest at a rate of 10% per annum using Simple Interest (S.I.), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Formula for Simple Interest (SI)**:
The formula for Simple Interest is given by:
\[ SI = \frac{P \times R \times T}{100} \]
where:
- \( SI \) = Simple Interest
- \( P \) = Principal amount (the initial amount of money)
- \( R \) = Rate of interest (in percentage)
- \( T \) = Time (in years)

2. **Substitute the Known Values**:
From the problem, we know:
- \( P = 600 \) (the principal amount)
- \( SI = 120 \) (the interest earned)
- \( R = 10\% \) (the rate of interest)

We need to find \( T \). Substituting the known values into the formula:
\[ 120 = \frac{600 \times 10 \times T}{100} \]

3. **Simplify the Equation**:
Rearranging the equation to isolate \( T \):
\[ 120 = \frac{6000T}{100} \]
This simplifies to:
\[ 120 = 60T \]

4. **Solve for \( T \)**:
To find \( T \), divide both sides by 60:
\[ T = \frac{120}{60} = 2 \]

5. **Conclusion**:
Therefore, it will take **2 years** for the amount of Rs. 600 to yield Rs. 120 as interest at a rate of 10% per annum.

### Final Answer:
**2 years**