On January $1,2022,$ Nobel Corporation acquired machinery for $$1,600,000.$ Nobel adopted the straight$-$line method of depreciation for this machine and had been recording depreciation over an estimated life of ten years, with no residual value. At the beginning of $2025,$ a decision was made to change to the double$-$declining balance method of depreciation for this machine.

The cumulative effect of this accounting change on beginning retained earnings, is

A$)$ $$300,800.$

B$)\sqrt[\phantom{2}]{10}$

C$)$ $$179,200.$

D$)$ $$240,640.$