Amar borrowed ₹ 800 at a rate of interest of 5% per annum. The amount he will pay after `3^(1//2)` years is:

Options

A. ₹ 920
B. ₹ 940
C. ₹ 960
D. ₹ 980

Answer

To solve the problem step by step, we need to calculate the total amount Amar will pay after borrowing ₹800 at a rate of interest of 5% per annum for \(3.5\) years.

### Step 1: Identify the given values
- Principal (P) = ₹800
- Rate of interest (R) = 5% per annum
- Time (T) = \(3.5\) 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 we have:
\[ SI = \frac{800 \times 5 \times 3.5}{100} \]

### Step 3: Simplify the calculation
First, calculate \(800 \times 5\):
\[ 800 \times 5 = 4000 \]

Now multiply \(4000\) by \(3.5\):
\[ 4000 \times 3.5 = 14000 \]

Now divide by \(100\):
\[ SI = \frac{14000}{100} = 140 \]

### Step 4: Calculate the Total Amount (A)
The total amount to be paid back is the sum of the principal and the simple interest:
\[ A = P + SI \]

Substituting the values:
\[ A = 800 + 140 = 940 \]

### Final Answer
The amount Amar will pay after \(3.5\) years is **₹940**.

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