Final answer:
To find Leonie's profit on the cost of the coat, subtract the hat cost from the total selling price to get the cost of the coat. Then, calculate the profit on the total cost by multiplying the total cost by the profit percentage. Finally, find the profit percentage on the cost of the coat by dividing the profit by the cost of the coat and multiplying by 100%.
Step-by-step explanation:
To find Leonie's profit on the cost of the coat, we need to calculate the total cost of both the hat and the coat. Since the hat cost £6, we can subtract this from the total selling price of £45 to find the cost of the coat. £45 - £6 = £39.
Next, we need to calculate the profit percentage on the total cost, which is the combined cost of the hat and the coat (£6 + £39 = £45). If Leonie made a 125% profit on the total cost, we can multiply the total cost by 125% (or 1.25) to find the profit. £45 * 1.25 = £56.25.
Finally, we can determine the profit percentage on the cost of the coat by subtracting the cost of the coat from the profit and calculating the percentage. £56.25 - £39 = £17.25. £17.25 is the profit on the coat. To find the percentage profit on the coat, we divide the profit by the cost of the coat and multiply by 100%. (£17.25 / £39) * 100% = 44.23%.