"mutual business" is correct and usable in written English.
You can use it to refer to a business arrangement or partnership in which two parties work together for mutual benefit. For example, "The two companies agreed to enter into a mutual business venture."
Mr. Hollande indicated that energy was a potential area of mutual business opportunity.
Unless they have mutual business they do not acknowledge one another at all.
Above all, it is not, or at least not yet, a genuine mutual business.
A contract is an agreement between two or more parties to create mutual business relations or legal obligations.
The much-trumpeted "nudge unit" in government is being nudged out and will be run as a private, mutual business.
Turnbull also told reporters he had flagged their mutual business background during the conversation, presumably as part of establishing a rapport.
Co-operative and mutual businesses and social enterprise should be prioritised.
The Lib Dems have committed themselves to campaign for measures to promote John Lewis-style mutual businesses.
Others – such as the Co-operative party – want government support to be aimed at the preservation and creation of co-operative and mutual businesses.
Insiders are thought to be concerned about the period of churn typically experienced by mutual businesses soon after they come to market as many members choose to cash in their windfalls.
In the report, Public service mutuals: the next steps, the taskforce, chaired by Professor Julian Le Grand, makes a series of recommendations designed to give mutuals a launch pad and to overcome the barriers facing public servants who form mutual businesses and take control of their services.
