Find the approximate simple interest on Rs. 2000 from March 9 , 2010 to May 21 , 2010 at 8.25% per annum .

Options

A. Rs 43
B. Rs 37
C. Rs 33
D. Rs 40

Answer

To find the approximate simple interest on Rs. 2000 from March 9, 2010, to May 21, 2010, at an interest rate of 8.25% per annum, we will follow these steps:

### Step 1: Determine the Principal (P), Rate (R), and Time (T)
- **Principal (P)** = Rs. 2000
- **Rate (R)** = 8.25% per annum
- **Time (T)** = Number of days from March 9, 2010, to May 21, 2010

### Step 2: Calculate the Time (T) in Days
1. From March 9 to March 31:
- March has 31 days, so from March 9 to March 31 = 31 - 9 = 22 days
2. For the month of April:
- April has 30 days = 30 days
3. From May 1 to May 21:
- May has 21 days = 21 days

Now, add these days together:
- Total days = 22 (March) + 30 (April) + 21 (May) = 73 days

### Step 3: Convert Days into Years
- Since there are 365 days in a year, we convert 73 days into years:
\[ T = \frac{73}{365} \text{ years} \]

### Step 4: Use the Simple Interest Formula
The formula for simple interest (SI) is:
\[ SI = \frac{P \times R \times T}{100} \]

### Step 5: Substitute the Values into the Formula
Substituting the values we have:
- \( P = 2000 \)
- \( R = 8.25 \)
- \( T = \frac{73}{365} \)

\[ SI = \frac{2000 \times 8.25 \times \frac{73}{365}}{100} \]

### Step 6: Calculate the Simple Interest
1. Calculate \( 2000 \times 8.25 = 16500 \)
2. Now calculate \( \frac{16500 \times 73}{365} \):
- \( 16500 \times 73 = 1204500 \)
- \( \frac{1204500}{365} \approx 3300 \)
3. Finally, divide by 100:
\[ SI \approx \frac{3300}{100} = 33 \]

### Conclusion
The approximate simple interest on Rs. 2000 from March 9, 2010, to May 21, 2010, at 8.25% per annum is approximately **Rs. 33**.

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