Joseph, Kate, and Ronaldo entered into partnership business on March $1,2023.$ The capital investments by all partners are given below:

Joseph $$80,000$

Kate $$50,000$

Ronaldo $$20,000$

Although each partner spends time to manage the business, Joseph gave $35\%$ time, Kate managed to spend $15\%$ time, and Ronaldo spent $50\%$ time for managing the partnership matters.

On December $31,2023,$ the business had a net income of $$90,000.$ The partners agreed to share the net income as follows:

One$-$third $($i$.$e$.1/3)$ of the net income will be allocated based on capital investment.

Another one$-$third $($i$.$e$.1/3)$ of the net income will be divided based on time spent.

The remaining net income will be divided equally among the partners.

Required:

Show the net income allocation for each partner.