Final answer:
A markup cancellation cannot exceed the original markup, and a markdown cancellation cannot exceed the original markdown in mathematics.
Step-by-step explanation:
In mathematics, a markup is the amount added to the cost price of a product to determine its selling price, while a markdown is the amount subtracted from the selling price to determine the discounted price. A markup cancellation refers to subtracting an additional amount from the original markup, and a markdown cancellation refers to adding an additional amount to the original markdown.
It is not possible for a markup cancellation to exceed the original markup since canceling a markup always results in a lower selling price. Similarly, a markdown cancellation cannot exceed the original markdown because canceling a markdown will always result in a higher selling price.
For example, if the original markup is $10 and there is a markup cancellation of $5, the new markup would be $5. If the original markdown is $20 and there is a markdown cancellation of $15, the new markdown would be $5.