Final answer:
The Retained Earnings balance for Viva Travel Service as of September 30, 20Y6 is $282,070. This is calculated by adding the net income of $255,940 to the opening retained earnings and then subtracting dividends paid.
Step-by-step explanation:
The Retained Earnings balance as of September 30, 20Y6, according to the provided information is $282,070. This figure is arrived at by starting with the initial Retained Earnings at October 1, 20Y5, which was $49,330, adding the Net Income for the year ($255,940), and then subtracting the Dividends Paid ($23,200).