一、 相關會計公式與觀念
基本會計恆等式:資產 (Assets) = 負債 (Liabilities) + 權益 (Equity)
期末總權益之組成:期末總權益 = 期末股本 (Capital stock) + 期末保留盈餘 (Retained earnings)
保留盈餘變動公式:期初保留盈餘 + 本期收入 (Revenues) - 本期費用 (Expenses) - 本期股利 (Dividends) = 期末保留盈餘
二、 計算步驟與說明
求解「12 月 31 日的保留盈餘 (Retained earnings at December 31)」
步驟 (1) 計算期末總資產:
期末總資產 = 流動資產 + 其他資產 = 25,000 + 220,000 = 245,000
步驟 (2) 計算期末總權益:
根據 A = L + E,可推導出 E = A - L:
期末總權益 = 期末總資產 - 期末負債 = 245,000 - 85,000 = 160,000
步驟 (3) 計算期末股本:
期末股本 = 期初股本 + 期中增加股本 = 70,000 + 20,000 = 90,000
步驟 (4) 導出期末保留盈餘:
期末總權益 = 期末股本 + 期末保留盈餘
160,000 = 90,000 + 期末保留盈餘
期末保留盈餘 = 160,000 - 90,000 = 70,000
解答 1:The amount of retained earnings at December 31 is 70,000.
求解「本期收入 (Revenues for the period)」
步驟 (1) 代入保留盈餘變動公式:
期初保留盈餘 + 本期收入 - 本期費用 - 本期股利 = 期末保留盈餘
60,000 + 本期收入 - 55,000 - 9,000 = 70,000
步驟 (2) 化簡左側已知常數:
60,000 - 55,000 - 9,000 = -4,000
本期收入 - 4,000 = 70,000
步驟 (3) 移項倒推本期收入:
本期收入 = 70,000 + 4,000 = 74,000
解答 2:The amount of revenues for the period is 74,000.
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