A man invested Rs.4455 in Rs. 10 shares quoted at Rs 8.25 if the rate of dividend be `6%` his annual income is

Options

A. Rs 267.30
B. Rs 327.80
C. Rs 324
D. Rs 103.70

Answer

To solve the problem step by step, let's break it down:

### Step 1: Calculate the Number of Shares
The man invested Rs. 4455 in shares that are quoted at Rs. 8.25 each. To find the number of shares he bought, we use the formula:

\[ \text{Number of Shares} = \frac{\text{Total Investment}}{\text{Price per Share}} = \frac{4455}{8.25} \]

Calculating this gives:

\[ \text{Number of Shares} = \frac{4455}{8.25} \approx 540 \]

### Step 2: Calculate the Face Value of the Shares
The face value of each share is Rs. 10. Therefore, the total face value of all the shares is:

\[ \text{Total Face Value} = \text{Number of Shares} \times \text{Face Value per Share} = 540 \times 10 = 5400 \]

### Step 3: Calculate the Annual Income
The rate of dividend is 6%. The annual income can be calculated using the formula:

\[ \text{Annual Income} = \left(\frac{\text{Rate of Dividend}}{100}\right) \times \text{Total Face Value} \]

Substituting the values:

\[ \text{Annual Income} = \left(\frac{6}{100}\right) \times 5400 \]

Calculating this gives:

\[ \text{Annual Income} = 0.06 \times 5400 = 324 \]

### Conclusion
The annual income from the investment is Rs. 324.

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