The problem provides the initial assets and liabilities of Madame Soraya NDIAYE's company as of January 1st. It also details the transactions that occurred during January and the closing inventory and other information at the end of January. The question asks to: 1. Calculate the value of the company's net worth as of January 1st.

Applied MathematicsAccountingFinancial StatementsBalance SheetIncome StatementNet Worth CalculationProfit Calculation
2025/5/23

1. Problem Description

The problem provides the initial assets and liabilities of Madame Soraya NDIAYE's company as of January 1st. It also details the transactions that occurred during January and the closing inventory and other information at the end of January. The question asks to:

1. Calculate the value of the company's net worth as of January 1st.

2. Summarize the initial situation in a balance sheet.

3. Identify the elements of the net worth at the end of January and calculate its value and the January profit.

4. Present an income statement.

5. Summarize the financial position of the company on January 31st using a balance sheet.

2. Solution Steps

1. Net worth on January 1st:

Net worth = Total Assets - Total Liabilities.
Assets include:
- Camionnette en service (Truck in service): 10,000,00010,000,000 F
- Matériel et mobilier en service (Equipment and furniture in service): 1,200,0001,200,000 F
- Prêts au personnel (Loans to personnel): 500,000500,000 F
- Créances à recouvrer sur ses clients (Accounts receivable): 3,200,0003,200,000 F
- Marchandises en stock (Inventory): 1,500,0001,500,000 F
- Espèces en caisse (Cash): 2,000,0002,000,000 F
Total Assets =10,000,000+1,200,000+500,000+3,200,000+1,500,000+2,000,000=18,400,000= 10,000,000 + 1,200,000 + 500,000 + 3,200,000 + 1,500,000 + 2,000,000 = 18,400,000 F
Liabilities include:
- Elle doit à divers fournisseurs (Accounts payable): 1,500,0001,500,000 F
- Elle a emprunté (Loans payable): 2,000,0002,000,000 F
Total Liabilities =1,500,000+2,000,000=3,500,000= 1,500,000 + 2,000,000 = 3,500,000 F
Net Worth = 18,400,0003,500,000=14,900,00018,400,000 - 3,500,000 = 14,900,000 F

2. Balance sheet on January 1st:

Assets:
- Camionnette en service: 10,000,00010,000,000 F
- Matériel et mobilier en service: 1,200,0001,200,000 F
- Prêts au personnel: 500,000500,000 F
- Créances à recouvrer sur ses clients: 3,200,0003,200,000 F
- Marchandises en stock: 1,500,0001,500,000 F
- Espèces en caisse: 2,000,0002,000,000 F
Total Assets: 18,400,00018,400,000 F
Liabilities:
- Elle doit à divers fournisseurs: 1,500,0001,500,000 F
- Elle a emprunté: 2,000,0002,000,000 F
Total Liabilities: 3,500,0003,500,000 F
Equity:
- Net Worth: 14,900,00014,900,000 F
Total Liabilities and Equity: 18,400,00018,400,000 F

3. Net worth on January 31st:

Assets:
- Truck: 9,700,0009,700,000 F (re-estimated value)
- Equipment and furniture: 1,100,0001,100,000 F (re-estimated value)
- Loans to personnel: 500,000500,000 F
- Accounts receivable: 3,200,0004,500,000+4,200,000=2,900,0003,200,000 - 4,500,000 + 4,200,000 = 2,900,000 F
Accounts receivable net of 10% estimated bad debt loss: 2,900,000(10.10)=2,610,0002,900,000 * (1 - 0.10) = 2,610,000 F
- Inventory: 1,700,0001,700,000 F
- Cash: 2,000,000+4,500,0001,800,000(215,000)10,000=4,475,0002,000,000 + 4,500,000 - 1,800,000 - (215,000) - 10,000 = 4,475,000 F
Final cash is original cash adjusted by cash receipts and cash payments.
Total Assets =9,700,000+1,100,000+500,000+2,610,000+1,700,000+4,475,000=20,085,000= 9,700,000 + 1,100,000 + 500,000 + 2,610,000 + 1,700,000 + 4,475,000 = 20,085,000 F
Liabilities:
- Accounts payable: 1,500,000+2,000,0001,800,000=1,700,0001,500,000 + 2,000,000 - 1,800,000 = 1,700,000 F
- Loans payable: 2,000,000(215,00015,000)=1,800,0002,000,000 - (215,000 - 15,000) = 1,800,000 F
- Probable tax debt: 150,000150,000 F
Total Liabilities =1,700,000+1,800,000+150,000=3,650,000= 1,700,000 + 1,800,000 + 150,000 = 3,650,000 F
Net worth on January 31st =20,085,0003,650,000=16,435,000= 20,085,000 - 3,650,000 = 16,435,000 F
January Profit = Net worth on Jan 31 - Net worth on Jan 1
January Profit =16,435,00014,900,000=1,535,000= 16,435,000 - 14,900,000 = 1,535,000 F

4. Income Statement:

Revenues:
- Services rendered: 4,200,0004,200,000 F
- Rent received: 300,000300,000 F
- Sales: 3,000,0003,000,000 F
Total Revenue: 7,500,0007,500,000 F
Expenses:
- Purchases: 2,000,0002,000,000 F
- Various expenses: 100,000+200,000+12,000+155,000+200,000+1,300,000=1,967,000100,000 + 200,000 + 12,000 + 155,000 + 200,000 + 1,300,000 = 1,967,000 F
- Payment to suppliers: 1,800,0001,800,000 F
- Loan interest: 15,00015,000 F
- Loan repayment: 200,000200,000 F (215,000-15,000)
- Depreciation of Truck (Vehicle): 10,000,0009,700,000=300,00010,000,000 - 9,700,000 = 300,000 F
- Depreciation of Equipment: 1,200,0001,100,000=100,0001,200,000 - 1,100,000 = 100,000 F
- Bad debt expenses: 3,200,0000.1=320,0003,200,000 * 0.1 = 320,000 F
Total Expenses: 2,000,000+1,967,000+1,800,000+15,000+200,000+300,000+100,000+320,000=6,702,0002,000,000+1,967,000+1,800,000+15,000+200,000+300,000+100,000 + 320,000=6,702,000 F
Profit = Total Revenue - Total Expenses
Profit =7,500,0006,702,000=798,000= 7,500,000 - 6,702,000 = 798,000 F
Note: The final inventory of 1,700,000 F is evaluated at cost.

5. Balance sheet on January 31st:

Assets:
- Truck: 9,700,0009,700,000 F
- Equipment and furniture: 1,100,0001,100,000 F
- Prêts au personnel: 500,000500,000 F
- Créances à recouvrer sur ses clients: 2,610,0002,610,000 F
- Marchandises en stock: 1,700,0001,700,000 F
- Espèces en caisse: 4,475,0004,475,000 F
Total Assets: 20,085,00020,085,000 F
Liabilities:
- Elle doit à divers fournisseurs: 1,700,0001,700,000 F
- Elle a emprunté: 1,800,0001,800,000 F
- Probable tax debt: 150,000150,000 F
Total Liabilities: 3,650,0003,650,000 F
Equity:
- Net Worth: 16,435,00016,435,000 F
Total Liabilities and Equity: 20,085,00020,085,000 F

3. Final Answer

1. Net worth on January 1st: $14,900,000$ F

2. Balance sheet on January 1st: See solution steps.

3. Net worth on January 31st: $16,435,000$ F, January Profit: $1,535,000$ F

4. Income statement for January: Profit $798,000$ F

5. Balance sheet on January 31st: See solution steps.

The profits calculated using net worth changes and income statements are different. This may be due to inaccuracies while converting document in image format to text format or because certain information in the original image may have been ignored or misread. Please note that, due to these potential issues, the final answer may not reflect perfectly accurate results.

Related problems in "Applied Mathematics"

We need to solve 4 multiple choice questions (20-23) based on the provided financial terms.

AccountingFinancial StatementsAssetsLiabilitiesOwner's Equity
2025/7/24

A cylindrical container with small holes drilled vertically is filled with water, as shown in the fi...

Fluid DynamicsBernoulli's PrinciplePhysicsVelocityProjectile MotionDimensional Analysis
2025/7/22

The problem describes a scenario involving a container with water jets emanating from it at differen...

Fluid DynamicsTorricelli's TheoremProjectile MotionOptimizationPhysics
2025/7/22

A cylindrical tank has small holes drilled vertically along its side, as shown in the diagram. The t...

Fluid DynamicsBernoulli's EquationHydrostaticsPhysicsDimensional Analysis
2025/7/22

The problem is to solve the partial differential equation: $\frac{\partial^2 u}{\partial x^2} + \fra...

Partial Differential EquationsLaplace's EquationSeparation of VariablesBoundary ConditionsCalculus
2025/7/22

The problem requires using the Capital Asset Pricing Model (CAPM) to solve for different variables i...

FinanceCAPMFormula ApplicationPercentage Calculation
2025/7/22

Jamie Wong is building an investment portfolio containing two stocks: Stock L and Stock M. Stock L w...

Portfolio ManagementWeighted AverageFinancial ModelingPercentage Calculation
2025/7/22

The problem asks us to fill in the blanks with either $g$ (grams) or $kg$ (kilograms) to make the st...

Units of MeasurementWeightConversion
2025/7/17

Warda walks at an average speed of 3 km/hr for 45 minutes before running for half an hour at a certa...

Word ProblemDistanceSpeedTimeRateLinear Equations
2025/7/16

Determine the vertical displacement at the point $I$ of the given structure, due to the effect of th...

Structural AnalysisDeflectionBeam TheoryVirtual WorkEngineering Mechanics
2025/7/16