If the simple interest for 5 years is 77.50 find the simple interest for 4 years the same principle rate ?

Options

A. 124
B. 15.5
C. 387.5
D. 62

Answer

To find the simple interest for 4 years when the simple interest for 5 years is given as 77.50, we can follow these steps:

### Step 1: Understand the formula for Simple Interest
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 per annum
- \( T \) = Time in years

### Step 2: Calculate the annual simple interest
Since we know the simple interest for 5 years is 77.50, we can find the annual simple interest by dividing the total interest by the number of years:
\[ \text{Annual SI} = \frac{77.50}{5} \]

### Step 3: Perform the calculation
Now, we can calculate the annual simple interest:
\[ \text{Annual SI} = \frac{77.50}{5} = 15.50 \]

### Step 4: Calculate the simple interest for 4 years
Now that we have the annual simple interest, we can find the simple interest for 4 years:
\[ \text{SI for 4 years} = \text{Annual SI} \times 4 \]
\[ \text{SI for 4 years} = 15.50 \times 4 \]

### Step 5: Perform the calculation
Now, calculate the simple interest for 4 years:
\[ \text{SI for 4 years} = 15.50 \times 4 = 62.00 \]

### Final Answer
The simple interest for 4 years is **62.00**.

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