Kyle, and Midget invested $$80,000,$ $$120,000$ respectively in a partnership they called KM Enterprises. They have agreed to share profits and losses in the following manner:$(1)$ No partnership agreement, $(2)$ salary allowances of $$30,000$ to Kyle, and $$40,000$ to Midget, and remainder divided equally. $(3)$ interest on the original capital balance of each partner at the rate of $30\%,$ and any remainder allocated equally. $(4)$ Shared in a ratio of $2$: $3$Required: Compute the partner's shares of profits for $2023.$ Net income for $2023$ was $$150,000.$