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

Options

A. Rs 45552.5
B. Rs12302.5
C. Rs 42255.25
D. Rs 47552.75

Answer

To solve the problem step by step, we will calculate the simple interest first and then find the total amount after 5 years.

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

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

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

### Step 3: Calculate 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 SI
Now divide by 100:
\[ SI = \frac{1,230,250}{100} = 12,302.50 \]

### Step 5: Calculate the Total Amount (A)
The total amount after 5 years is given by:
\[ A = P + SI \]
Substituting the values:
\[ A = 33,250 + 12,302.50 \]

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

### Final Answer
The total amount after 5 years is ₹45,552.50.

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