Profit sharing ratio of partners

Please solve my problem.

                                     There are two persons, want to create partnership deed.Person A wants to contribute huge amount as capital & person B will not contibute anything.Person A wants only high interest on capital & person B wants 100% of profit after the payment of interest of capital to A.Both partners are agreed upon this.

So, my question is : can we create a partnership in which agreed profit sharing ratio between two partners A & B is 0 : 100. Remember one thing both partners are agreed upon this. they have not any problem. Is partnership possible in such a case ?