Raviraj invested an amount of Rs.10,000 at compound interest rate of 10 p.a. For a period of three years. How much amount will Raviraj get after three years ?

Options

A. Rs. 13,210
B. Rs. 13,310
C. Rs.12,100
D. Rs.11,000

Answer

To find out how much amount Raviraj will get after three years from his investment of Rs. 10,000 at a compound interest rate of 10% per annum, we can use the formula for compound interest:

### Step-by-Step Solution:

1. **Identify the Variables**:
- Principal (P) = Rs. 10,000
- Rate of Interest (R) = 10% per annum
- Time (T) = 3 years

2. **Use the Compound Interest Formula**:
The formula for the amount (A) after time T at compound interest is given by:
\[ A = P \left(1 + \frac{R}{100}\right)^T \]

3. **Substitute the Values**:
Substitute the values of P, R, and T into the formula:
\[ A = 10,000 \left(1 + \frac{10}{100}\right)^3 \]

4. **Calculate the Interest Rate**:
Simplify the term inside the parentheses:
\[ 1 + \frac{10}{100} = 1 + 0.1 = 1.1 \]

5. **Raise to the Power of Time**:
Now raise the result to the power of 3:
\[ A = 10,000 \times (1.1)^3 \]

6. **Calculate \( (1.1)^3 \)**:
Calculate \( (1.1)^3 \):
\[ (1.1)^3 = 1.1 \times 1.1 \times 1.1 = 1.331 \]

7. **Multiply by the Principal**:
Now multiply this result by the principal amount:
\[ A = 10,000 \times 1.331 = 13,310 \]

8. **Final Amount**:
Therefore, the amount Raviraj will get after 3 years is:
\[ A = Rs. 13,310 \]

### Conclusion:
Raviraj will receive Rs. 13,310 after three years.

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