The amount of ₹ 7500 at compound interest at 4% per annum for 2 years, is:

Options

A. ₹8100
B. ₹8082
C. ₹7800
D. ₹8112

Answer

To find the amount of ₹ 7500 at compound interest at 4% per annum for 2 years, we can use the formula for compound interest:

### Step 1: Identify the variables
- Principal (P) = ₹ 7500
- Rate of interest (R) = 4% per annum
- Time (T) = 2 years

### Step 2: Write the formula for compound interest
The formula for the amount (A) after t years at compound interest is:
\[ A = P \left(1 + \frac{R}{100}\right)^T \]

### Step 3: Substitute the values into the formula
Substituting the known values into the formula:
\[ A = 7500 \left(1 + \frac{4}{100}\right)^2 \]

### Step 4: Simplify the expression
Calculate \(1 + \frac{4}{100}\):
\[ 1 + \frac{4}{100} = 1 + 0.04 = 1.04 \]

Now substitute this back into the formula:
\[ A = 7500 \times (1.04)^2 \]

### Step 5: Calculate \((1.04)^2\)
Now calculate \((1.04)^2\):
\[ (1.04)^2 = 1.0816 \]

### Step 6: Calculate the amount
Now substitute this value back into the amount formula:
\[ A = 7500 \times 1.0816 \]
\[ A = 8112 \]

### Step 7: Conclusion
Therefore, the amount after 2 years is ₹ 8112.