Find the SI on Rs 12000 for 8 yr 4 months at 3% per annum?

Options

A. Rs 2000
B. Rs 15000
C. Rs 3000
D. None of these

Answer

To find the Simple Interest (SI) on Rs 12000 for 8 years and 4 months at an interest rate of 3% per annum, we can follow these steps:

### Step 1: Identify the given values
- Principal (P) = Rs 12000
- Rate of interest (R) = 3% per annum
- Time (T) = 8 years 4 months

### Step 2: Convert the time into years
Since the time is given in years and months, we need to convert the months into years:
- 4 months = 4/12 years = 1/3 years
- Therefore, the total time in years = 8 + 1/3 = 8 + 0.3333 = 8.3333 years or 8 1/3 years.

### Step 3: Use the Simple Interest formula
The formula for Simple Interest is:
\[ \text{SI} = \frac{P \times R \times T}{100} \]

### Step 4: Substitute the values into the formula
Now, we substitute the values into the formula:
- P = 12000
- R = 3
- T = 8 1/3 = 25/3 years (to make calculations easier)

So, we can rewrite the formula as:
\[ \text{SI} = \frac{12000 \times 3 \times \frac{25}{3}}{100} \]

### Step 5: Simplify the expression
Now, simplify the expression:
- The 3 in the numerator and denominator cancels out:
\[ \text{SI} = \frac{12000 \times 25}{100} \]

### Step 6: Calculate the SI
Now, calculate the SI:
- First, calculate \( 12000 \times 25 = 300000 \)
- Then divide by 100:
\[ \text{SI} = \frac{300000}{100} = 3000 \]

### Final Answer
The Simple Interest (SI) on Rs 12000 for 8 years and 4 months at 3% per annum is Rs 3000.

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