$[30$ Points$]$ Ken Still and Duncan Leif formed a partnership, investing $$300,000$ and $$150,000$ respectively. Determine their participation in the year's net income of $$150,000$ under each of the following independent assumptions: $($a$)$ no agreement concerning division of net income; $($b$)$ divided in the ratio of original capital investment; $($c$)$ interest at the rate of $12\%$ allowed on original investments and the remainder divided in the ratio of $2$:$3$; $($d$)$ salary allowances of $$55,000$ and $$65,000$ respectively, and the balance divided equally; $($e$)$ allowance of interest at the rate of $12\%$ on original investments, salary allowances of $$55,000$ and $$65,000$ respectively, and the remainder divided equally.

Still

Leif

Total

$\backslash$table$[[$a$,,,,$Leif,Total,$],[,,,,,,],[$b$,,,,,,],[,,,,,,],[,,,,,,],[$c$,,,,,,],[,,,,,,],[$d$,,,,,,],[,,,,,,],[,,,,,,],[$e$,,,,,,],[,,,,,,]]$

$1$