The amount and compound interest on Rs. 2500 for 2years at 10% per annum respectively are (in rupees)____ and _____.

Answer

To solve the problem of finding the amount and compound interest on Rs. 2500 for 2 years at 10% per annum, we can follow these steps:

### Step 1: Identify the given values
- Principal (P) = Rs. 2500
- Rate of interest (R) = 10% per annum
- Time (T) = 2 years

### Step 2: Use the formula for compound amount
The formula for calculating the amount (A) in 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:
\[ A = 2500 \left(1 + \frac{10}{100}\right)^2 \]

### Step 4: Simplify the expression
Calculate \( \frac{10}{100} \):
\[ \frac{10}{100} = 0.1 \]
So, we have:
\[ A = 2500 \left(1 + 0.1\right)^2 \]
\[ A = 2500 \left(1.1\right)^2 \]

### Step 5: Calculate \( (1.1)^2 \)
\[ (1.1)^2 = 1.21 \]
Now substitute back:
\[ A = 2500 \times 1.21 \]

### Step 6: Calculate the amount
\[ A = 3025 \]
So, the amount after 2 years is Rs. 3025.

### Step 7: Calculate the compound interest (CI)
The formula for compound interest is:
\[ CI = A - P \]
Substituting the values:
\[ CI = 3025 - 2500 \]
\[ CI = 525 \]

### Final Answer
- Amount = Rs. 3025
- Compound Interest = Rs. 525

---