Find S.I on Rs. 16250 at 6% p.a. for 73 days. (take non-leap years)

Options

A. (a) 173
B. (b) 195
C. (c) 220
D. (d) 237

Answer

To find the Simple Interest (S.I) on Rs. 16250 at a rate of 6% per annum for 73 days, we will follow these steps:

### Step 1: Convert the time from days to years
Since the interest rate is given per annum, we need to convert the time from days to years.

\[ \text{Time in years} = \frac{\text{Number of days}}{365} = \frac{73}{365} \]

### Step 2: Calculate the time in years
Now, we simplify the fraction:

\[ \frac{73}{365} \approx \frac{1}{5} \text{ years} \]

### Step 3: Use the Simple Interest formula
The formula for Simple Interest is:

\[ \text{S.I} = \frac{P \times R \times T}{100} \]

Where:
- \( P \) = Principal amount (Rs. 16250)
- \( R \) = Rate of interest (6%)
- \( T \) = Time in years (1/5)

### Step 4: Substitute the values into the formula
Now we substitute the values into the formula:

\[ \text{S.I} = \frac{16250 \times 6 \times \frac{1}{5}}{100} \]

### Step 5: Simplify the calculation
First, calculate \( 16250 \times 6 \):

\[ 16250 \times 6 = 97500 \]

Now, substitute this back into the S.I formula:

\[ \text{S.I} = \frac{97500 \times \frac{1}{5}}{100} \]

Calculating \( 97500 \times \frac{1}{5} \):

\[ 97500 \div 5 = 19500 \]

Now, divide by 100:

\[ \text{S.I} = \frac{19500}{100} = 195 \]

### Final Answer
The Simple Interest on Rs. 16250 at 6% per annum for 73 days is **Rs. 195**.

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