Goodman, Pinkman, and White formed a partnership on January $1,2020,$ and made capital contributions of $$125,000($Goodman$),$ $$175,000($Pinkman$),$ and $$250,000($White$),$ respectively. With respect to the division of income, they agreed to the following: $(1)$ interest of an amount equal to $10\%$ of the that partner$$s beginning capital balance for the year; $(2)$ annual compensation of $$15,000$ to Pinkman; and $(3)$ the remainder of the income or loss to be split among the partners in the following percentages: $($a$)20\%$ for Goodman; $($b$)40\%$ for Pinkman; and $($c$)40\%$ for White. Net income was $$200,000$ in $2020$ and $$240,000$ in $2021.$ Each partner withdrew $$1,500$ for personal use every month during $2020$ and $2021.$

What was total capital balance for the partnerhsip at december $31,2021?$

$$936,000.$

$$805,000.$

$$924,000.$

$$882,000.$

$860,000.$