The amount on a sum of Rs. 400 for 3 yr at simple interest at 5% per annum is

Options

A. ₹ 460
B. ₹ 415
C. ₹ 435
D. ₹ 412

Answer

To solve the problem of finding the amount on a sum of Rs. 400 for 3 years at simple interest at 5% per annum, we will follow these steps:

### Step 1: Identify the values
- Principal (P) = Rs. 400
- Rate of interest (R) = 5% per annum
- Time (T) = 3 years

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

### Step 3: Substitute the values into the formula
Substituting the known values into the formula:
\[ SI = \frac{400 \times 5 \times 3}{100} \]

### Step 4: Calculate the Simple Interest
Calculating the expression:
\[ SI = \frac{400 \times 15}{100} = \frac{6000}{100} = 60 \]
So, the Simple Interest (SI) is Rs. 60.

### Step 5: Calculate the Amount (A)
The formula for calculating the total amount (A) after interest is:
\[ A = SI + P \]
Substituting the values we found:
\[ A = 60 + 400 = 460 \]

### Final Answer
The amount on a sum of Rs. 400 for 3 years at simple interest at 5% per annum is Rs. 460.

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