Rs 775, invested for 6 years gives an interest of Rs 372. The rate of simple interest per annum in percentage is:
(a)0.075
(b)0.09
(c)8
(d)0.07

Options

A. 0.075
B. 0.09
C. 0.08
D. 0.07

Answer

To find the rate of simple interest per annum, we can use the formula for simple interest:

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

Where:
- \(SI\) = Simple Interest
- \(P\) = Principal amount (initial investment)
- \(R\) = Rate of interest per annum (in percentage)
- \(T\) = Time (in years)

Given:
- Principal \(P = 775\)
- Simple Interest \(SI = 372\)
- Time \(T = 6\) years

We need to find the rate \(R\).

### Step 1: Substitute the known values into the formula

\[ 372 = \frac{775 \times R \times 6}{100} \]

### Step 2: Multiply both sides by 100 to eliminate the fraction

\[ 372 \times 100 = 775 \times R \times 6 \]

\[ 37200 = 775 \times R \times 6 \]

### Step 3: Simplify the equation

Divide both sides by \(775 \times 6\):

\[ R = \frac{37200}{775 \times 6} \]

### Step 4: Calculate \(775 \times 6\)

\[ 775 \times 6 = 4650 \]

### Step 5: Substitute back to find \(R\)

\[ R = \frac{37200}{4650} \]

### Step 6: Perform the division

\[ R = 8 \]

### Conclusion

The rate of simple interest per annum is \(8\%\).

### Final Answer

The correct option is (c) 8.

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