Question

When partnership is started for certain work it is called

Answer 1

It's generally called "business partnership."
A partnership in a business is similar to a personal partnership. Both business and personal partnerships involve: 

Pooling money toward a common purpose

Sharing individual skills and resources, and

Sharing in the ups and downs of profit and loss.

A business partnership is a specific kind of legal relationship formed by the agreement between two or more individuals to carry on a business as co-owners. A partnership is a business with multiple owners, each of whom has invested in the business. Some partnerships include individuals who work in the business, while other partnerships may include partners who have limited participation and also limited liability for the debts and lawsuits against the business.  

A partnership, as different from a corporation, is not a separate entity from the individual owners. A partnership is similar to a sole proprietor or independent contractor business because in both of these businesses the business isn't separate from the owners, for liability purposes.

The partnership income tax is paid by the partnership, but the profits and losses are divided among the partners, and paid by the partners, based on their agreement.
Hope it helps!!