Lian Hwa bought 15 000 units of DCW shares at the price of RM1.12 per share. He was entitled to receive a dividend of 4.5 sen per unit share. After that, all the DCW shares were sold at the price of RM1.65 per unit. Determine

(a) the dividend received,

(b) the return on investment of the DCW shares.

Let's solve the problem step by step.

### Part (a): Dividend Received

Lian Hwa bought 15,000 units of DCW shares. The dividend received per unit share is 4.5 sen.

1. **Convert the dividend from sen to ringgit:**
   \[
   4.5 \text{ sen} = 0.045 \text{ RM}
   \]

2. **Calculate the total dividend received:**
   \[
   \text{Total dividend} = 15,000 \text{ units} \times 0.045 \text{ RM/unit} = 675 \text{ RM}
   \]

### Part (b): Return on Investment (ROI)

1. **Initial investment:**
   \[
   \text{Initial investment} = 15,000 \text{ units} \times 1.12 \text{ RM/unit} = 16,800 \text{ RM}
   \]

2. **Total selling price:**
   \[
   \text{Total selling price} = 15,000 \text{ units} \times 1.65 \text{ RM/unit} = 24,750 \text{ RM}
   \]

3. **Total profit (including dividend):**
   \[
   \text{Total profit} = \text{Total selling price} + \text{Total dividend} - \text{Initial investment}
   \]
   \[
   \text{Total profit} = 24,750 \text{ RM} + 675 \text{ RM} - 16,800 \text{ RM} = 8,625 \text{ RM}
   \]

4. **Return on Investment (ROI):**
   \[
   \text{ROI} = \left(\frac{\text{Total profit}}{\text{Initial investment}}\right) \times 100\%
   \]
   \[
   \text{ROI} = \left(\frac{8,625 \text{ RM}}{16,800 \text{ RM}}\right) \times 100\% \approx 51.34\%
   \]

### Summary
(a) The dividend received is RM 675.  
(b) The return on investment (ROI) is approximately 51.34%.

Would you like further details or have any questions?

Here are five questions you might want to ask next:
1. How do you calculate compound interest for investments?
2. Can you explain the difference between nominal and real interest rates?
3. What is the formula for the present value of an annuity?
4. How do you determine the break-even point for a business?
5. What are the main differences between stocks and bonds?

**Tip:** Always double-check your calculations and ensure all units are consistent throughout the problem.

Learn how to solve an investment problem involving the calculation of dividends and return on investment (ROI). This problem covers arithmetic and financial mathematics concepts. Suitable for high school students.

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