Question

How were old imperialism and new imperialism similar?

Answer 1

One way in which old imperialism and new imperialism were similar is that "Colonies existed for the benefit of a mother country", since the mother country wouldn't have exerted effort to claim territory had it not been favorable. 

Answer 2

The correct answer is: "Colonies existed for the benefit of a mother country".

Old imperialism was characterized by direct occupation and dominance of a territory, and mostly started with the arrival of the Spanish to America leaded by Columbus in 1492. Colonized territories depended on their mother country for political, economic, social and cultural issues.

New forms of imperialism, also called neocolonialism, do not necessarily involve occupation or "physical" dominance of a territory but, on the other hand, through the dynamics of capitalism and globalization, certain powerful  and developed countries are able to exercise power over other devoloping nations, which become dependent on the first.

In both cases, the relationships established are mostly profitable for the mother country, specially in economic terms. Old colonialism allowed the mother country to consume raw materials, minerals and other resources from the colonies and to use them to produce manufactures, aiming to become exporting nations. Nowadays, such system is not extinct at all as powerful countries buy cheap raw materials from developing countries, use them to manufacture products, and subsequently sell these final products in the international markets and even back in the developing country where they got the resources, earning large profits.