The problem presents the initial financial situation of Madame Soraya NDIAYE's company as of January 1st. It lists various assets and liabilities. Several transactions occur during January. Some additional observations are made at the end of January. The questions ask to calculate the initial net worth (patrimoine), to summarize the initial situation in a balance sheet, to determine the elements of the net worth at the end of January and calculate its value, and to construct an income statement and final balance sheet. We will focus on the first question.

Applied MathematicsFinancial AccountingBalance SheetNet WorthAssetsLiabilities
2025/5/22

1. Problem Description

The problem presents the initial financial situation of Madame Soraya NDIAYE's company as of January 1st. It lists various assets and liabilities. Several transactions occur during January. Some additional observations are made at the end of January. The questions ask to calculate the initial net worth (patrimoine), to summarize the initial situation in a balance sheet, to determine the elements of the net worth at the end of January and calculate its value, and to construct an income statement and final balance sheet. We will focus on the first question.

2. Solution Steps

The "patrimoine" (net worth) of the company on January 1st is the difference between its assets and liabilities.
Assets:
- Camionnette en service (Truck in service): 10,000,000 F
- Matériel et mobilier en service (Equipment and furniture): 1,200,000 F
- Prêts au personnel (Loans to staff): 500,000 F
- Créances à recouvrer sur ses clients (Accounts receivable): 3,200,000 F
- Marchandises en stock (Inventory): 1,500,000 F
- Espèces en caisse (Cash): 2,000,000 F
Liabilities:
- Elle doit à divers fournisseurs (Accounts payable): 1,500,000 F
- Elle a emprunté (Loans payable): 2,000,000 F
Total Assets = 10,000,000+1,200,000+500,000+3,200,000+1,500,000+2,000,000=18,400,00010,000,000 + 1,200,000 + 500,000 + 3,200,000 + 1,500,000 + 2,000,000 = 18,400,000 F
Total Liabilities = 1,500,000+2,000,000=3,500,0001,500,000 + 2,000,000 = 3,500,000 F
Net Worth (Patrimoine) = Total Assets - Total Liabilities
Net Worth = 18,400,0003,500,000=14,900,00018,400,000 - 3,500,000 = 14,900,000 F

3. Final Answer

The value of the "patrimoine" of Madame NDIAYE's company on January 1st is 14,900,000 F.

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