The problem describes the assets and liabilities of Monsieur BA's company at the beginning (January 1st, year N) and end (December 31st, year N) of the year. The task is to calculate the net worth of the company at both dates, determine the profit or loss during the year, and present the balance sheets for both dates.

Applied MathematicsFinancial AccountingBalance SheetNet WorthProfit CalculationAsset Valuation
2025/5/20

1. Problem Description

The problem describes the assets and liabilities of Monsieur BA's company at the beginning (January 1st, year N) and end (December 31st, year N) of the year. The task is to calculate the net worth of the company at both dates, determine the profit or loss during the year, and present the balance sheets for both dates.

2. Solution Steps

First, calculate the net worth at the beginning of the year (1/1/N). Net worth is calculated as Assets - Liabilities.
Assets at 1/1/N:
* Vehicle: 15,000,000 F
* Merchandise stock: 3,000,000 F
* Bank balance: 4,000,000 F
* Amount owed by clients: 1,500,000 F
Total Assets at 1/1/N = 15,000,000+3,000,000+4,000,000+1,500,000=23,500,00015,000,000 + 3,000,000 + 4,000,000 + 1,500,000 = 23,500,000 F
Liabilities at 1/1/N:
* Amount owed to suppliers: 2,500,000 F
Total Liabilities at 1/1/N = 2,500,0002,500,000 F
Net Worth at 1/1/N = Total Assets - Total Liabilities = 23,500,0002,500,000=21,000,00023,500,000 - 2,500,000 = 21,000,000 F
Next, calculate the net worth at the end of the year (31/12/N).
Assets at 31/12/N:
* Transport Material: 13,000,000 F
* Merchandise stock: 2,800,000 F
* Accounts receivable: 3,200,000 F
* Cash and Bank: 6,500,000 F
Total Assets at 31/12/N = 13,000,000+2,800,000+3,200,000+6,500,000=25,500,00013,000,000 + 2,800,000 + 3,200,000 + 6,500,000 = 25,500,000 F
Liabilities at 31/12/N:
* Accounts payable: 1,400,000 F
Total Liabilities at 31/12/N = 1,400,0001,400,000 F
Net Worth at 31/12/N = Total Assets - Total Liabilities = 25,500,0001,400,000=24,100,00025,500,000 - 1,400,000 = 24,100,000 F
Now, calculate the profit for the year.
Profit = Net Worth at 31/12/N - Net Worth at 1/1/N = 24,100,00021,000,000=3,100,00024,100,000 - 21,000,000 = 3,100,000 F
Finally, the balance sheets at 1/1/N and 31/12/N:
Balance Sheet at 1/1/N:
Assets:
Vehicle: 15,000,000 F
Merchandise stock: 3,000,000 F
Bank balance: 4,000,000 F
Accounts receivable: 1,500,000 F
Total Assets: 23,500,000 F
Liabilities:
Accounts payable: 2,500,000 F
Equity: 21,000,000 F
Total Liabilities and Equity: 23,500,000 F
Balance Sheet at 31/12/N:
Assets:
Transport Material: 13,000,000 F
Merchandise stock: 2,800,000 F
Accounts receivable: 3,200,000 F
Cash and Bank: 6,500,000 F
Total Assets: 25,500,000 F
Liabilities:
Accounts payable: 1,400,000 F
Equity: 24,100,000 F
Total Liabilities and Equity: 25,500,000 F

3. Final Answer

Net worth at 1/1/N: 21,000,000 F
Net worth at 31/12/N: 24,100,000 F
Profit for the year N: 3,100,000 F
The balance sheets for both dates are presented in the solution steps.

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