The simple interest on a certain sum for 3 years at `14%` per annum is Rs. 235.20. The sum is-

Options

A. Rs .480
B. Rs. 560
C. Rs. 650
D. Rs. 720

Answer

To find the sum (principal) based on the simple interest, we can use the formula for simple interest:

\[ \text{Simple Interest (SI)} = \frac{\text{Principal (P)} \times \text{Rate (R)} \times \text{Time (T)}}{100} \]

Given:
- Simple Interest (SI) = Rs. 235.20
- Rate (R) = 14% per annum
- Time (T) = 3 years

We need to find the Principal (P).

### Step 1: Substitute the values into the formula
We can rearrange the formula to solve for Principal (P):

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

Now, substituting the known values:

\[ P = \frac{235.20 \times 100}{14 \times 3} \]

### Step 2: Calculate the denominator
First, calculate the denominator:

\[ R \times T = 14 \times 3 = 42 \]

### Step 3: Substitute the denominator back into the equation
Now substitute this back into the equation for P:

\[ P = \frac{235.20 \times 100}{42} \]

### Step 4: Calculate the numerator
Now calculate the numerator:

\[ 235.20 \times 100 = 23520 \]

### Step 5: Divide the numerator by the denominator
Now divide the numerator by the denominator:

\[ P = \frac{23520}{42} \]

### Step 6: Perform the division
Now, perform the division:

\[ P = 560 \]

### Conclusion
The sum (Principal) is Rs. 560.