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A man invests Rs 10,560 in a company, pa...

A man invests Rs 10,560 in a company, paying 9% dividend, at the time when its Rs 100 shares can be bought at a premium of Rs 32. Find:
his annual income from these shares and

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To solve the problem step by step, we need to find the annual income from the shares based on the given information. ### Step 1: Understand the Investment and Share Details - The man invests Rs 10,560. - The company pays a 9% dividend. - The nominal value (face value) of the shares is Rs 100. - The premium on the shares is Rs 32. ### Step 2: Calculate the Market Value of Each Share The market value of each share can be calculated using the formula: \[ \text{Market Value} = \text{Nominal Value} + \text{Premium} \] Substituting the values: \[ \text{Market Value} = 100 + 32 = 132 \] ### Step 3: Calculate the Number of Shares Purchased To find the number of shares, we use the formula: \[ \text{Number of Shares} = \frac{\text{Investment}}{\text{Market Value of Each Share}} \] Substituting the values: \[ \text{Number of Shares} = \frac{10,560}{132} \] Calculating this gives: \[ \text{Number of Shares} = 80 \] ### Step 4: Calculate the Annual Income from the Shares The annual income can be calculated using the formula: \[ \text{Annual Income} = \left(\frac{\text{Dividend Percentage}}{100}\right) \times \text{Number of Shares} \times \text{Nominal Value} \] Substituting the values: \[ \text{Annual Income} = \left(\frac{9}{100}\right) \times 80 \times 100 \] Calculating this gives: \[ \text{Annual Income} = 720 \] ### Final Answer The man's annual income from these shares is Rs 720. ---
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