The problem presents the financial situation of the company NGOM on January 1st and the operations carried out during January. We are asked to calculate: 1. The value of the company's assets on January 1st.

Applied MathematicsAccountingBalance SheetIncome StatementFinancial AnalysisAsset Valuation
2025/5/22

1. Problem Description

The problem presents the financial situation of the company NGOM on January 1st and the operations carried out during January. We are asked to calculate:

1. The value of the company's assets on January 1st.

2. The balance sheet on January 1st.

3. The value of the company's assets at the end of January and the profit for January.

4. The income statement and balance sheet at the end of January.

2. Solution Steps

1. Value of the patrimony (net worth) on 1/1/N:

The patrimony is the difference between assets and liabilities.
Assets = Materials in service + Stock + Cash
Assets = 2,500,000+3,500,000+1,200,000=7,200,000F2,500,000 + 3,500,000 + 1,200,000 = 7,200,000 F
Liabilities = Amount owed to suppliers + Loan
Liabilities = 1,800,000+4,000,000=5,800,000F1,800,000 + 4,000,000 = 5,800,000 F
Patrimony = Assets - Liabilities
Patrimony = 7,200,0005,800,000=1,400,000F7,200,000 - 5,800,000 = 1,400,000 F

2. Balance Sheet on 1/1/N:

Assets:
Materials in service: 2,500,000 F
Stock: 3,500,000 F
Cash: 1,200,000 F
Total Assets: 7,200,000 F
Liabilities:
Suppliers: 1,800,000 F
Loan: 4,000,000 F
Total Liabilities: 5,800,000 F
Equity:
Patrimony: 1,400,000 F
Total Liabilities and Equity: 7,200,000 F

3. Patrimony at the end of January and profit:

First, let's calculate the change in assets:
Beginning Stock: 3,500,000 F
Purchases: 6,000,000 F
Sales: 8,000,000 F
Ending Stock: 4,500,000 F
Goods sold: 3,500,000+6,000,0004,500,000=5,000,000F3,500,000 + 6,000,000 - 4,500,000 = 5,000,000 F
Cost of Goods Sold (COGS): 5,000,000 F
Change in Materials:
Beginning: 2,500,000 F
Depreciation: 100,000 F
Ending: 2,400,000 F
Change in Cash:
Beginning: 1,200,000 F
Customer Payments: 4,000,000 F
Operating Expenses: -2,200,000 F
Payments to Suppliers: -2,500,000 F
Loan Repayment: -240,000 F
Ending Cash: 1,200,000+4,000,0002,200,0002,500,000240,000=260,000F1,200,000 + 4,000,000 - 2,200,000 - 2,500,000 - 240,000 = 260,000 F
Final Assets:
Materials: 2,400,000 F
Stock: 4,500,000 F
Cash: 260,000 F
Accounts Receivable : 8,000,000 F - 4,000,000 F = 4,000,000 F (Sales - Cash Collections)
Total Assets: 2,400,000+4,500,000+260,000+4,000,000=11,160,000F2,400,000 + 4,500,000 + 260,000 + 4,000,000 = 11,160,000 F
Change in Liabilities:
Beginning Suppliers: 1,800,000 F
Purchases: 6,000,000 F
Payments to Suppliers: 2,500,000 F
Ending Suppliers: 1,800,000+6,000,0002,500,000=5,300,000F1,800,000 + 6,000,000 - 2,500,000 = 5,300,000 F
Loan: 4,000,000 F - 240,000 F = 3,760,000 F
Interest Paid: 40,000 F
Final Liabilities: 5,300,000+3,760,000=9,060,000F5,300,000 + 3,760,000 = 9,060,000 F
Final Patrimony: 11,160,0009,060,000=2,100,000F11,160,000 - 9,060,000 = 2,100,000 F
Profit = Final Patrimony - Initial Patrimony
Profit = 2,100,0001,400,000=700,000F2,100,000 - 1,400,000 = 700,000 F

4. Income Statement and Balance Sheet at the end of January.

Income Statement:
Sales: 8,000,000 F
Cost of Goods Sold: 5,000,000 F
Gross Profit: 3,000,000 F
Operating Expenses: 2,200,000 F
Depreciation: 100,000 F
Interest Expense: 40,000 F
Net Profit: 3,000,0002,200,000100,00040,000=660,000F3,000,000 - 2,200,000 - 100,000 - 40,000 = 660,000 F
Balance Sheet:
Assets:
Cash: 260,000 F
Accounts Receivable: 4,000,000 F
Stock: 4,500,000 F
Materials: 2,400,000 F
Total Assets: 11,160,000 F
Liabilities:
Accounts Payable (Suppliers): 5,300,000 F
Loan: 3,760,000 F
Total Liabilities: 9,060,000 F
Equity:
Retained Earnings (beginning): 1,400,000 F
Net Profit: 700,000 F
Total Equity: 2,100,000 F
Total Liabilities and Equity: 11,160,000 F

3. Final Answer

1. The value of the company's assets on January 1st is 1,400,000 F.

2. See the solution for the balance sheet on January 1st.

3. The value of the company's assets at the end of January is 2,100,000 F and the profit for January is 660,000 F (using the income statement method) or 700,000 F (using the balance sheet method). The difference is due to retained earnings.

4. See the solution for the income statement and balance sheet at the end of January.

Related problems in "Applied Mathematics"

The problem provides the initial assets and liabilities of Madame Soraya NDIAYE's company as of Janu...

AccountingFinancial StatementsBalance SheetIncome StatementNet Worth CalculationProfit Calculation
2025/5/23

The problem presents the initial financial situation of Madame Soraya NDIAYE's company as of January...

Financial AccountingBalance SheetNet WorthAssetsLiabilities
2025/5/22

The problem describes the initial financial situation of Mr. NDOYE's company on 1/1/N and its operat...

AccountingFinancial StatementsBalance SheetIncome StatementNet Worth
2025/5/22

The image shows a diagram with two intersecting lines. The numbers around the intersection are 2, 75...

Weighted AverageMixture ProblemsTemperatureProblem SolvingAlgebraic Modeling
2025/5/22

The image shows a multiple-choice questionnaire. We need to determine the correct answer for questio...

Circuit AnalysisResonanceReactanceImpedanceRLC circuit
2025/5/21

The problem states that there are 4 kg of air in a bathyscaphe at a temperature of 20.6 °C and a pre...

PhysicsIdeal Gas LawUnits ConversionProblem SolvingThermodynamics
2025/5/21

We need to find the volume of a balloon that contains 4.4 kg of oxygen at a temperature of 70°C and ...

Ideal Gas LawPhysicsThermodynamicsUnits ConversionVolume Calculation
2025/5/21

A vertical cylinder is placed with a piston inside. The cross-sectional area of the piston is $S = 6...

PhysicsThermodynamicsBoyle's LawPressureVolumeIsothermal ProcessUnit Conversion
2025/5/21

We are given a vertical cylinder with a piston of negligible mass. The cylinder contains air at norm...

Ideal Gas LawThermodynamicsPhysicsUnits ConversionProblem Solving
2025/5/21

The problem asks to calculate the number of iron atoms in $10.27 \, m^3$ of iron. The correct answer...

PhysicsChemistryDensityMolar MassAvogadro's NumberUnits ConversionScientific NotationApproximation
2025/5/21