Ms. Sandhya deposit an amount of 31,400 to obtain a simple interest at the rate of 12 per cent per annum for 8 year. What total amount will Ms. Sandhya get at the end of 8 year

Options

A. 31444
B. 61544
C. 41544
D. 31544

Answer

To find out the total amount Ms. Sandhya will receive at the end of 8 years, we need to calculate the simple interest first and then add it to the principal amount.

### Step-by-Step Solution:

1. **Identify the given values:**
- Principal (P) = ₹31,400
- Rate of interest (R) = 12% per annum
- Time (T) = 8 years

2. **Calculate the Simple Interest (SI):**
The formula for Simple Interest is:
\[ SI = \frac{P \times R \times T}{100} \]
Substituting the values:
\[ SI = \frac{31,400 \times 12 \times 8}{100} \]

3. **Perform the calculations:**
- First, calculate \( 31,400 \times 12 \):
\[ 31,400 \times 12 = 376,800 \]
- Next, multiply by 8:
\[ 376,800 \times 8 = 3,014,400 \]
- Now, divide by 100:
\[ SI = \frac{3,014,400}{100} = 30,144 \]

4. **Calculate the Total Amount (A):**
The total amount after 8 years is given by:
\[ A = P + SI \]
Substituting the values:
\[ A = 31,400 + 30,144 \]

5. **Perform the final addition:**
\[ A = 61,544 \]

### Final Answer:
Ms. Sandhya will receive a total amount of ₹61,544 at the end of 8 years.

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