A lady holds 1800 , `100rs` shares of a company that pays `15%` dividend annually. Calculate her annual dividend. If she had bought these shares at `40%` permium, what is the return she gets as percent on her investment ?
Give your answer to the nearest integer.

Answer

To solve the problem step by step, we will calculate the annual dividend and the return on investment for the lady who holds 1800 shares.

### Step 1: Calculate the Annual Dividend
1. **Identify the nominal value of one share**:
- The nominal value (face value) of one share is given as `100 rs`.

2. **Calculate the total nominal value of 1800 shares**:
\[ \text{Total nominal value} = \text{Nominal value per share} \times \text{Number of shares} = 100 \times 1800 = 1,80,000 \text{ rs} \]

3. **Identify the dividend percentage**:
- The company pays a `15%` dividend.

4. **Calculate the annual dividend**:
\[ \text{Annual Dividend} = \left(\frac{15}{100} \times \text{Total nominal value}\right) = \left(\frac{15}{100} \times 1,80,000\right) = 27,000 \text{ rs} \]

### Step 2: Calculate the Market Value of the Shares
1. **Identify the premium**:
- The shares are bought at a `40%` premium.

2. **Calculate the market value of one share**:
\[ \text{Market value per share} = \text{Nominal value} + \text{Premium} = 100 + (40\% \text{ of } 100) = 100 + 40 = 140 \text{ rs} \]

3. **Calculate the total market value of 1800 shares**:
\[ \text{Total market value} = \text{Market value per share} \times \text{Number of shares} = 140 \times 1800 = 2,52,000 \text{ rs} \]

### Step 3: Calculate the Return on Investment
1. **Identify the income from dividends**:
- The income from dividends is `27,000 rs`.

2. **Identify the total investment**:
- The total investment is the total market value of the shares, which is `2,52,000 rs`.

3. **Calculate the return percentage**:
\[ \text{Return Percentage} = \left(\frac{\text{Income}}{\text{Investment}} \times 100\right) = \left(\frac{27,000}{2,52,000} \times 100\right) \approx 10.71\% \]

4. **Round to the nearest integer**:
- The return percentage rounded to the nearest integer is `11%`.

### Final Answers
- **Annual Dividend**: `27,000 rs`
- **Return on Investment**: `11%`