The amount to be paid when principal = Rs. 2000, rate of simple interest (R ) = 5% , T = 2 years is :

Options

A. Rs, 3,200
B. Rs, 2,400
C. Rs. 2,200
D. Rs. 3,400

Answer

To solve the problem, we need to calculate the amount to be paid after a certain period when given the principal, rate of interest, and time. The formula for calculating Simple Interest (SI) is:

\[ \text{SI} = \frac{P \times R \times T}{100} \]

Where:
- \( P \) = Principal amount
- \( R \) = Rate of interest (in percentage)
- \( T \) = Time (in years)

### Step-by-Step Solution:

1. **Identify the values**:
- Principal (P) = Rs. 2000
- Rate of interest (R) = 5%
- Time (T) = 2 years

2. **Substitute the values into the Simple Interest formula**:
\[ \text{SI} = \frac{2000 \times 5 \times 2}{100} \]

3. **Calculate the numerator**:
- First, calculate \( 2000 \times 5 \times 2 \):
\[ 2000 \times 5 = 10000 \]
\[ 10000 \times 2 = 20000 \]

4. **Divide by 100 to find the Simple Interest**:
\[ \text{SI} = \frac{20000}{100} = 200 \]

5. **Calculate the total amount to be paid**:
- The total amount (A) is given by:
\[ A = P + \text{SI} \]
\[ A = 2000 + 200 = 2200 \]

### Final Answer:
The amount to be paid after 2 years is Rs. 2200.

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