Jana owns a share portfolio - HSC - SSCE Mathematics Standard - Question 29 - 2020 - Paper 1

Now, we know that Jana's total annual dividend is $149.52. Therefore, we can find the dividend from company XYZ by subtracting the dividend from ABC from the total dividend:

$\text{Dividend from XYZ} = 149.52 - 66 = 83.52$

To find the number of shares Jana has in company XYZ, we will use the dividend formula again:

$\text{Dividend from XYZ} = \text{Number of Shares in XYZ} \times \text{Dividend Yield} \times \text{Market Price}$

Here, the dividend yield for XYZ is 4% or 0.04, and the market price per share is $6.00. Substituting the values, we can rearrange to solve for the number of shares:

$83.52 = (\text{Number of Shares in XYZ}) \times 0.04 \times 6$

This simplifies to:

$\text{Number of Shares in XYZ} = \frac{83.52}{0.04 \times 6} = 348$