Answer and Step-by-step explanation:
Let's first calculate the cost of the dress.
If Ellie made a 100% profit on the scarf, that means she sold it for twice the cost, or £8. So, the cost of the scarf was £4.
To find the cost of both items, we can subtract the cost of the scarf from the total price:
Total price = £26
Cost of scarf = £4
Cost of dress = £26 - £4 = £22
Ellie made a 30% profit on the total cost, which includes the cost of both the scarf and the dress.
To calculate the total profit, we can find 30% of the total cost:
30% of £26 = 0.3 x £26 = £7.80
So, Ellie's total profit is £7.80.
To find the percentage profit on the cost of the dress, we need to compare the profit made on the dress to its cost.
Profit on the dress = Total profit - Profit on the scarf
Profit on the dress = £7.80 - £4 = £3.80
So, Ellie made a profit of £3.80 on the dress.
To calculate the percentage profit on the cost of the dress, we can divide the profit by the cost and then multiply by 100 to get a percentage:
Percentage profit on the dress = (Profit on the dress / Cost of dress) x 100%
Percentage profit on the dress = (£3.80 / £22) x 100%
Percentage profit on the dress ≈ 17.27%
Therefore, Ellie made a percentage profit of approximately 17.27% on the cost of the dress.