A company with 500 shares of nominal value Rs. 120 declares an annual dividend of 15%. Calculate :
(i) the total amount of dividend paid by the company.
(ii) annual income of Mr. Sharma who holds 80 shares of the company
(iii) If the return percent of Mr. Sharma from his shares is 10%, find the market value of each share.

Answer

Let's solve the question step by step.

### Given:
- Nominal value of each share = Rs. 120
- Total number of shares = 500
- Annual dividend declared = 15%
- Mr. Sharma's shares = 80

### (i) Total amount of dividend paid by the company:

1. **Calculate the dividend per share:**
\[ \text{Dividend per share} = \text{Nominal value} \times \left(\frac{\text{Dividend percentage}}{100}\right) \]
\[ \text{Dividend per share} = 120 \times \left(\frac{15}{100}\right) = 120 \times 0.15 = 18 \]

2. **Calculate the total dividend paid by the company:**
\[ \text{Total dividend} = \text{Dividend per share} \times \text{Total number of shares} \]
\[ \text{Total dividend} = 18 \times 500 = 9000 \]

### (ii) Annual income of Mr. Sharma who holds 80 shares of the company:

1. **Calculate the dividend for Mr. Sharma:**
\[ \text{Dividend for Mr. Sharma} = \text{Dividend per share} \times \text{Number of shares held} \]
\[ \text{Dividend for Mr. Sharma} = 18 \times 80 = 1440 \]

### (iii) Market value of each share if Mr. Sharma's return percent is 10%:

1. **Use the formula relating nominal value, dividend percentage, market value, and return percentage:**
\[ \text{Nominal value} \times \text{Dividend percentage} = \text{Market value} \times \text{Return percentage} \]
\[ 120 \times 15 = \text{Market value} \times 10 \]

2. **Substituting the values:**
\[ 120 \times 15 = \text{Market value} \times 10 \]
\[ 1800 = \text{Market value} \times 10 \]

3. **Solve for Market value:**
\[ \text{Market value} = \frac{1800}{10} = 180 \]

### Final Answers:
(i) Total amount of dividend paid by the company = Rs. 9000
(ii) Annual income of Mr. Sharma = Rs. 1440
(iii) Market value of each share = Rs. 180

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