Assume that a business's balance sheet reports total assets of $$500,000$ and total liabilities of $$300,000.$ Now assume that $$10,000$ of net fixed assets $($net plant and equipment$)$ are written off due to technological obsolescence. All else the same, what is the total equity of the business after the write$-$off?

A$)$ $$200,000$

B$)$ $$190,000$

C$)$ $$180,000$

D$)$ $$170,000$

E$)$ There is insufficient information given to answer this question.