A sum of Rs. 12660 lent on simple interest at the rate of `15%` p.a. for 5 years. Find the amount at the end of 5 years.

Explanation

To find the amount at the end of 5 years when Rs. 12,660 is lent at a simple interest rate of 15% per annum, we will follow these steps:

### Step 1: Identify the values
- Principal (P) = Rs. 12,660
- Rate of interest (R) = 15% per annum
- Time (T) = 5 years

### Step 2: Calculate the Simple Interest (SI)
The formula for Simple Interest is:
\[ SI = \frac{P \times R \times T}{100} \]

Substituting the values into the formula:
\[ SI = \frac{12660 \times 15 \times 5}{100} \]

### Step 3: Perform the calculations
1. Calculate \( P \times R \times T \):
\[ 12660 \times 15 \times 5 = 949500 \]
2. Now divide by 100 to find the Simple Interest:
\[ SI = \frac{949500}{100} = 9495 \]

### Step 4: Calculate the Total Amount (A)
The total amount at the end of 5 years is given by:
\[ A = P + SI \]

Substituting the values:
\[ A = 12660 + 9495 \]

### Step 5: Perform the final addition
\[ A = 22155 \]

### Final Answer
The amount at the end of 5 years is Rs. 22,155.

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