If a person invests Rs. 33250 in an account that yields `7.4%` p.a simple interest, then how much (in Rs.) does he has after 5 years ?

Options

A. `45552.5`
B. `12302.5`
C. `42255.25`
D. `4755275`

Answer

To find out how much a person has after 5 years when he invests Rs. 33,250 at a simple interest rate of 7.4% per annum, we can follow these steps:

### Step 1: Identify the given values
- Principal (P) = Rs. 33,250
- Rate of interest (R) = 7.4% per annum
- Time (T) = 5 years

### Step 2: Calculate the Simple Interest (SI)
The formula for calculating Simple Interest is:
\[ \text{SI} = \frac{P \times R \times T}{100} \]

Substituting the values:
\[ \text{SI} = \frac{33,250 \times 7.4 \times 5}{100} \]

### Step 3: Perform the multiplication
First, calculate \( 33,250 \times 7.4 \):
\[ 33,250 \times 7.4 = 246,050 \]

Now multiply by 5:
\[ 246,050 \times 5 = 1,230,250 \]

### Step 4: Divide by 100 to find the Simple Interest
Now, divide by 100:
\[ \text{SI} = \frac{1,230,250}{100} = 12,302.50 \]

### Step 5: Calculate the Total Amount (A)
The total amount after 5 years is given by:
\[ A = P + \text{SI} \]

Substituting the values:
\[ A = 33,250 + 12,302.50 \]

### Step 6: Perform the addition
\[ A = 33,250 + 12,302.50 = 45,552.50 \]

### Final Answer
Thus, after 5 years, the total amount the person has is **Rs. 45,552.50**.

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