Find S.I on Rs 2000 at the rate of interest 4% for `2(1)/(2)` years.

Answer

To find the Simple Interest (S.I.) on Rs. 2000 at a rate of interest of 4% for 2.5 years, we will use the formula for Simple Interest:

### Step-by-Step Solution:

1. **Identify the formula for Simple Interest**:
\[ \text{S.I.} = \frac{P \times R \times T}{100} \]
where:
- \( P \) = Principal amount (initial investment)
- \( R \) = Rate of interest (per annum)
- \( T \) = Time (in years)

2. **Assign values to the variables**:
- Principal \( P = 2000 \) Rs
- Rate \( R = 4\% \)
- Time \( T = 2.5 \) years

3. **Convert the time into a fraction if necessary**:
- \( 2.5 \) years can be written as \( \frac{5}{2} \) years.

4. **Substitute the values into the formula**:
\[ \text{S.I.} = \frac{2000 \times 4 \times \frac{5}{2}}{100} \]

5. **Calculate the multiplication in the numerator**:
- First, calculate \( 2000 \times 4 = 8000 \).
- Then, multiply \( 8000 \times \frac{5}{2} = 8000 \times 5 = 40000 \) and divide by 2:
\[ \frac{40000}{2} = 20000 \]

6. **Divide by 100**:
\[ \text{S.I.} = \frac{20000}{100} = 200 \]

7. **Final answer**:
The Simple Interest is Rs. 200.