Final answer:
Yes, there is a proportional relationship between the original price of an item and its price after the discount.
Step-by-step explanation:
Yes, there is a proportional relationship between the original price of an item and its price after the discount. When a discount of 60% is applied, the price after the discount is 40% of the original price. This means that the price after the discount is directly proportional to the original price, with a constant ratio of 40%.
For example, if the original price of an item is $100, the price after the discount would be $40 (40% of $100). If the original price is doubled to $200, the price after the discount would be $80 (40% of $200).