A more thorough explanation:

Definition: Tonnage-rent is a type of rent that is reserved in a mining lease or similar transaction. It consists of a royalty that is paid for every ton of minerals that is extracted from the mine.

Example: A mining company signs a lease agreement with the owner of a mine. The lease agreement includes a tonnage-rent clause that requires the mining company to pay a royalty of $1 for every ton of coal that is extracted from the mine. If the mining company extracts 10,000 tons of coal in a month, it would have to pay a tonnage-rent of $10,000 to the owner of the mine.

This example illustrates how tonnage-rent works in a mining lease agreement. The owner of the mine receives a royalty for every ton of minerals that is extracted from the mine, which provides a steady stream of income for the owner.

Definition: Tonnage tax is a tax that is levied on the shipping industry based on the tonnage of ships that are registered in a particular country.

Example: The government of a country decides to implement a tonnage tax on the shipping industry. The tax is based on the tonnage of ships that are registered in the country. For example, if a shipping company has a fleet of 10 ships with a total tonnage of 100,000 tons, it would have to pay a tonnage tax based on this tonnage.

This example illustrates how tonnage tax works in the shipping industry. The tax is based on the tonnage of ships, which provides an incentive for shipping companies to register their ships in countries with lower tonnage taxes.