Beau Dawson and Willow McDonald formed a partnership, investing $$202,500$ and $$67,500,$ respectively.

Determine their participation in the year's net income of $$295,000$ under each of the following independent assumptions:

a$.$ No agreement concerning division of net income.

b$.$ Divided in the ratio of original capital investment.

c$.$ Interest at the rate of $6\%$ allowed on original investments and the remainder divided in the ratio of $2$:$3.$

d$.$ Salary allowances of $$38,000$ and $$49,000,$ respectively, and the balance divided equally.

e$.$ Allowance of interest at the rate of $6\%$ on original investments, salary allowances of $$38,000$ and $$49,000,$ respectively, and the remainder divided equally.