Raghu has invested ₹1000 and received ₹1300 at 6% per annum simple interest after X years. Find the value of X.

Options

A. 4 years
B. 3 years
C. 2 years
D. 5 years

Answer

To find the value of X in the problem, we can follow these steps:

### Step 1: Understand the Problem
Raghu invested ₹1000 and received ₹1300 after X years at a simple interest rate of 6% per annum. We need to find the value of X.

### Step 2: Determine the Simple Interest
The amount received after X years is given by the formula:
\[ \text{Amount} = \text{Principal} + \text{Simple Interest} \]

Given:
- Principal (P) = ₹1000
- Amount (A) = ₹1300

So, we can calculate the Simple Interest (SI):
\[ \text{SI} = A - P = 1300 - 1000 = ₹300 \]

### Step 3: Use the Simple Interest Formula
The formula for Simple Interest is:
\[ \text{SI} = \frac{P \times R \times T}{100} \]

Where:
- P = Principal
- R = Rate of interest (6%)
- T = Time in years (X)

Substituting the known values into the formula:
\[ 300 = \frac{1000 \times 6 \times X}{100} \]

### Step 4: Simplify the Equation
Now, simplify the equation:
\[ 300 = \frac{6000X}{100} \]
\[ 300 = 60X \]

### Step 5: Solve for X
To find X, divide both sides by 60:
\[ X = \frac{300}{60} \]
\[ X = 5 \]

### Conclusion
The value of X is 5 years.

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