Final answer:
To find the original price of the hat, divide the sale price by 0.7.
Step-by-step explanation:
To find the original price, we need to find the price before the 30% discount. Let's assume the original price is x. Since the hat was sold with a 30% discount, the sale price can be calculated as 0.7x. We are given that the sale price is £101.50, so we can set up the equation:
0.7x = £101.50.
To solve for x, we divide both sides of the equation by 0.7:
x = £101.50 ÷ 0.7 = £145.
Therefore, the original price of the hat was £145.