Find the amount after 3 years if the rate of interest is `15%` per annum and principal is Rs. 24000.

Options

A. A)Rs. 30900
B. B)Rs. 32700
C. C)Rs. 36500
D. D)Rs. 34800

Answer

To find the amount after 3 years with a principal of Rs. 24,000 and an interest rate of 15% per annum, we can use the formula for calculating the amount (A) in simple interest:

\[ A = P + I \]

Where:
- \( A \) is the total amount after time \( t \)
- \( P \) is the principal amount
- \( I \) is the interest earned

The interest \( I \) can be calculated using the formula:

\[ I = \frac{P \times r \times t}{100} \]

Where:
- \( r \) is the rate of interest per annum
- \( t \) is the time in years

### Step-by-Step Solution:

1. **Identify the given values:**
- Principal \( P = 24000 \) Rs.
- Rate of interest \( r = 15\% \)
- Time \( t = 3 \) years

2. **Calculate the interest \( I \):**
\[ I = \frac{P \times r \times t}{100} \]
Substituting the values:
\[ I = \frac{24000 \times 15 \times 3}{100} \]

3. **Perform the multiplication:**
\[ I = \frac{24000 \times 45}{100} \]

4. **Calculate \( 24000 \times 45 \):**
\[ 24000 \times 45 = 1080000 \]

5. **Now divide by 100:**
\[ I = \frac{1080000}{100} = 10800 \]

6. **Now, calculate the total amount \( A \):**
\[ A = P + I \]
Substituting the values:
\[ A = 24000 + 10800 = 34800 \]

### Final Answer:
The amount after 3 years is **Rs. 34,800**.