If the rate of simple interest is 12% per annum, the amount the would fetch interest of Rs. 6000 per annum is :

Options

A. Rs. 7200
B. Rs. 48000
C. Rs. 50000
D. Rs. 72000

Answer

To find the amount that would fetch an interest of Rs. 6000 per annum at a simple interest rate of 12% per annum, we can use the formula for simple interest:

### Step 1: Understand the formula for Simple Interest
The formula for Simple Interest (SI) is given by:
\[ SI = \frac{P \times R \times T}{100} \]
Where:
- \(SI\) = Simple Interest
- \(P\) = Principal amount (the amount we want to find)
- \(R\) = Rate of interest (12% per annum in this case)
- \(T\) = Time period (1 year for this question)

### Step 2: Substitute the known values into the formula
We know:
- \(SI = 6000\)
- \(R = 12\%\)
- \(T = 1\) year

Substituting these values into the formula:
\[ 6000 = \frac{P \times 12 \times 1}{100} \]

### Step 3: Simplify the equation
To simplify the equation, we can multiply both sides by 100 to eliminate the fraction:
\[ 6000 \times 100 = P \times 12 \]
\[ 600000 = P \times 12 \]

### Step 4: Solve for \(P\)
Now, divide both sides by 12 to find \(P\):
\[ P = \frac{600000}{12} \]
Calculating this gives:
\[ P = 50000 \]

### Conclusion
The principal amount \(P\) that would fetch an interest of Rs. 6000 per annum at a simple interest rate of 12% per annum is **Rs. 50,000**.

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