Mr. Yashwanth invested money in FD. How much will he get on maturity, If Rs. 10000 is invested at 20% per annum compund interest for 6 months, compounded quaterly ?
A. 11025.25
B. 11025
C. 11025.75
D. 11025.5

Options

A. D
B. B
C. A
D. C

Answer

To solve the problem of how much Mr. Yashwanth will get on maturity for his investment of Rs. 10,000 at 20% per annum compound interest for 6 months, compounded quarterly, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Variables:**
- Principal (P) = Rs. 10,000
- Annual Interest Rate (R) = 20% per annum
- Time (T) = 6 months = 0.5 years
- Compounding Frequency (n) = 4 (quarterly)

2. **Calculate the Quarterly Interest Rate:**
- The quarterly interest rate can be calculated as:
\[ r = \frac{R}{n} = \frac{20\%}{4} = 5\% = \frac{5}{100} = 0.05 \]

3. **Calculate the Number of Compounding Periods:**
- Since the investment is for 6 months and compounding is quarterly, the number of compounding periods (t) is:
\[ t = n \times \text{Time in years} = 4 \times 0.5 = 2 \]

4. **Use the Compound Interest Formula:**
- The formula for compound interest is:
\[ A = P \left(1 + r\right)^t \]
- Substituting the values we have:
\[ A = 10000 \left(1 + 0.05\right)^2 \]

5. **Calculate the Amount:**
- First, calculate \( (1 + 0.05)^2 \):
\[ (1 + 0.05)^2 = 1.05^2 = 1.1025 \]
- Now, substitute back into the formula:
\[ A = 10000 \times 1.1025 = 11025 \]

6. **Final Amount:**
- Therefore, the maturity amount Mr. Yashwanth will receive is Rs. 11,025.

### Conclusion:
The correct answer is **B. 11025**.