3. Three investors buy shares in a cellphone business. Senzi invests R1 000, Neo invests R1 500 and Thabo R2 500 . A year later they receive their first dividend (pay-out) of R1 500 . How must they share the dividend?

To determine how the R1,500 dividend should be shared among Senzi, Neo, and Thabo, we can distribute the dividend proportionally based on their initial investments. ### Step 1: Calculate Total Investment - **Senzi:** R1,000 - **Neo:** R1,500 - **Thabo:** R2,500 - **Total Investment:** R1,000 + R1,500 + R2,500 = **R5,000** ### Step 2: Determine Each Investor's Share Percentage Each investor's share is proportional to their investment relative to the total investment. - **Senzi's Share Percentage:** \(\frac{1,000}{5,000} = 20\%\) - **Neo's Share Percentage:** \(\frac{1,500}{5,000} = 30\%\) - **Thabo's Share Percentage:** \(\frac{2,500}{5,000} = 50\%\) ### Step 3: Calculate Each Investor's Dividend - **Senzi:** 20% of R1,500 = \(0.20 \times 1,500 = R300\) - **Neo:** 30% of R1,500 = \(0.30 \times 1,500 = R450\) - **Thabo:** 50% of R1,500 = \(0.50 \times 1,500 = R750\) ### Summary - **Senzi:** R300 - **Neo:** R450 - **Thabo:** R750 **Therefore, the R1,500 dividend should be distributed as follows: Senzi receives R300, Neo receives R450, and Thabo receives R750.**