What should be the simple interest obtained on an amount of rs 5,760 at the rate of `6%` p.a. after 3 years?

Options

A. Rs 1036.80
B. Rs 1666.80
C. Rs 1336.80
D. Rs 1063.80

Answer

To find the simple interest obtained on an amount of Rs 5,760 at the rate of 6% per annum after 3 years, we will use the formula for simple interest:

**Simple Interest (SI) = (Principal × Rate × Time) / 100**

### Step-by-step Solution:

1. **Identify the values:**
- Principal (P) = Rs 5,760
- Rate of interest (R) = 6% per annum
- Time (T) = 3 years

2. **Substitute the values into the formula:**
\[ SI = \frac{P \times R \times T}{100} \]
\[ SI = \frac{5760 \times 6 \times 3}{100} \]

3. **Calculate the multiplication in the numerator:**
- First, calculate \(6 \times 3 = 18\).
- Now, substitute this back into the equation:
\[ SI = \frac{5760 \times 18}{100} \]

4. **Multiply 5760 by 18:**
\[ 5760 \times 18 = 103680 \]

5. **Divide by 100 to find the simple interest:**
\[ SI = \frac{103680}{100} = 1036.8 \]

6. **Final Answer:**
The simple interest obtained is Rs 1,036.80.