Ajay owns 560 shares of a company. The face value of each share is `25rs`. The company declares a dividend of `9%`. Calculate
(i) the dividend that Ajay will get
(ii) the rate of interest on his investment, if Ajay had paid `30rs` for each share.

Answer

To solve the problem step by step, we will break it down into two parts as per the question.

### Part (i): Calculate the Dividend that Ajay Will Get

1. **Identify the given values:**
- Number of shares (N) = 560
- Face value of each share (FV) = ₹25
- Dividend rate (D) = 9%

2. **Use the formula for dividend:**
\[ \text{Dividend} = \text{Number of Shares} \times \text{Face Value} \times \left(\frac{\text{Dividend Rate}}{100}\right) \]

3. **Substitute the values into the formula:**
\[ \text{Dividend} = 560 \times 25 \times \left(\frac{9}{100}\right) \]

4. **Calculate the dividend:**
- First, calculate \(560 \times 25\):
\[ 560 \times 25 = 14000 \]
- Now, calculate \(14000 \times \frac{9}{100}\):
\[ 14000 \times 0.09 = 1260 \]

5. **Conclusion for part (i):**
- The dividend that Ajay will get is **₹1260**.

### Part (ii): Calculate the Rate of Interest on His Investment

1. **Identify the additional given value:**
- Market value of each share (MV) = ₹30

2. **Calculate the total investment:**
\[ \text{Investment} = \text{Number of Shares} \times \text{Market Value} \]
\[ \text{Investment} = 560 \times 30 \]

3. **Calculate the investment:**
\[ 560 \times 30 = 16800 \]

4. **Use the formula for rate of interest:**
\[ \text{Rate of Interest} = \left(\frac{\text{Dividend}}{\text{Investment}}\right) \times 100 \]

5. **Substitute the values into the formula:**
\[ \text{Rate of Interest} = \left(\frac{1260}{16800}\right) \times 100 \]

6. **Calculate the rate of interest:**
- First, calculate \(\frac{1260}{16800}\):
\[ \frac{1260}{16800} = 0.075 \]
- Now, multiply by 100:
\[ 0.075 \times 100 = 7.5 \]

7. **Conclusion for part (ii):**
- The rate of interest on Ajay's investment is **7.5%**.

### Summary of Answers:
- (i) The dividend that Ajay will get is **₹1260**.
- (ii) The rate of interest on his investment is **7.5%**.