The problem describes the initial financial situation of Mr. NDOYE's company on 1/1/N and its operations during January. It asks us to determine the company's net worth on 1/1/N, present the balance sheet on 1/1/N, determine the elements of the net worth at the end of January and calculate its value, create an income statement for January, and present the balance sheet on 31/1/N. All amounts are in F (presumably Francs).

Applied MathematicsAccountingFinancial StatementsBalance SheetIncome StatementNet Worth
2025/5/22

1. Problem Description

The problem describes the initial financial situation of Mr. NDOYE's company on 1/1/N and its operations during January. It asks us to determine the company's net worth on 1/1/N, present the balance sheet on 1/1/N, determine the elements of the net worth at the end of January and calculate its value, create an income statement for January, and present the balance sheet on 31/1/N. All amounts are in F (presumably Francs).

2. Solution Steps

a) Net Worth on 1/1/N:
Net worth is calculated as Assets - Liabilities.
Assets include:
- Immobilisation (Truck): 12,000,00012,000,000 F
- Accounts Receivable: 3,500,0003,500,000 F
- Cash: 1,500,0001,500,000 F
Total Assets: 12,000,000+3,500,000+1,500,000=17,000,00012,000,000 + 3,500,000 + 1,500,000 = 17,000,000 F
Liabilities include:
- Accounts Payable: 1,750,0001,750,000 F
- Loan: 2,000,0002,000,000 F
Total Liabilities: 1,750,000+2,000,000=3,750,0001,750,000 + 2,000,000 = 3,750,000 F
Net Worth = Assets - Liabilities = 17,000,0003,750,000=13,250,00017,000,000 - 3,750,000 = 13,250,000 F
b) Balance Sheet on 1/1/N:
Assets:
- Immobilisation (Truck): 12,000,00012,000,000 F
- Accounts Receivable: 3,500,0003,500,000 F
- Cash: 1,500,0001,500,000 F
Total Assets: 17,000,00017,000,000 F
Liabilities:
- Accounts Payable: 1,750,0001,750,000 F
- Loan: 2,000,0002,000,000 F
Equity:
- Net Worth: 13,250,00013,250,000 F
Total Liabilities and Equity: 1,750,000+2,000,000+13,250,000=17,000,0001,750,000 + 2,000,000 + 13,250,000 = 17,000,000 F
c) Net Worth at the end of January:
First, calculate the changes in assets and liabilities during January.
Changes in Assets:
- Services billed to customers: +3,600,0003,600,000 F (Accounts Receivable increases)
- Cash received from customers: +4,500,0004,500,000 F
- Depreciation: -200,000200,000 F (Vehicle value decreases)
Changes in Liabilities:
- Payment to suppliers: -1,500,0001,500,000 F
Expenses:
- Supplies: 150,000150,000 F
- Rent: 300,000300,000 F
- Salaries: 1,200,0001,200,000 F
- Insurance: 125,000125,000 F
- Taxes: 250,000250,000 F
- Depreciation: 200,000200,000 F
Total Expenses: 150,000+300,000+1,200,000+125,000+250,000+200,000=2,225,000150,000 + 300,000 + 1,200,000 + 125,000 + 250,000 + 200,000 = 2,225,000 F
Revenues: 3,600,0003,600,000 F
Profit = Revenues - Expenses = 3,600,0002,225,000=1,375,0003,600,000 - 2,225,000 = 1,375,000 F
Net worth at the end of January = Initial Net Worth + Profit = 13,250,000+1,375,000=14,625,00013,250,000 + 1,375,000 = 14,625,000 F
d) Income Statement for January:
Revenues:
- Services Billed: 3,600,0003,600,000 F
Expenses:
- Supplies: 150,000150,000 F
- Rent: 300,000300,000 F
- Salaries: 1,200,0001,200,000 F
- Insurance: 125,000125,000 F
- Taxes: 250,000250,000 F
- Depreciation: 200,000200,000 F
Total Expenses: 2,225,0002,225,000 F
Net Income (Profit): 3,600,0002,225,000=1,375,0003,600,000 - 2,225,000 = 1,375,000 F
e) Balance Sheet on 31/1/N:
Assets:
- Immobilisation (Truck): 12,000,000200,000=11,800,00012,000,000 - 200,000 = 11,800,000 F
- Accounts Receivable: 3,500,000+3,600,0004,500,000=2,600,0003,500,000 + 3,600,000 - 4,500,000 = 2,600,000 F
- Cash: 1,500,000+4,500,000150,000300,0001,200,000125,000250,0001,500,000=2,475,0001,500,000 + 4,500,000 - 150,000 - 300,000 - 1,200,000 - 125,000 - 250,000 - 1,500,000 = 2,475,000 F
Total Assets: 11,800,000+2,600,000+2,475,000=16,875,00011,800,000 + 2,600,000 + 2,475,000 = 16,875,000 F
Liabilities:
- Accounts Payable: 1,750,0001,500,000=250,0001,750,000 - 1,500,000 = 250,000 F
- Loan: 2,000,0002,000,000 F
Equity:
- Net Worth: 14,625,00014,625,000 F
Total Liabilities and Equity: 250,000+2,000,000+14,625,000=16,875,000250,000 + 2,000,000 + 14,625,000 = 16,875,000 F

3. Final Answer

a) Net Worth on 1/1/N: 13,250,00013,250,000 F
b) Balance Sheet on 1/1/N (See solution above)
c) Net Worth at the end of January: 14,625,00014,625,000 F
d) Income Statement for January (See solution above)
e) Balance Sheet on 31/1/N (See solution above)

Related problems in "Applied Mathematics"

The problem asks us to design a pipe network using the equivalent pipe method. The pipe network cons...

Fluid DynamicsPipe NetworkHazen-Williams EquationHydraulic Engineering
2025/7/24

The problem asks us to design a pipe network using the equivalent pipe method. The network is a squa...

Fluid MechanicsPipe NetworkHazen-Williams EquationHydraulicsEquivalent Pipe Method
2025/7/24

The problem states that we have four stocks, a, b, c, and d, with betas of 0.6, 0.8, 1.5, and 0.7 re...

Financial MathematicsPortfolio BetaWeighted Average
2025/7/24

The problem consists of several incomplete sentences related to finance and investment. The task is ...

Financial MathematicsInvestmentRisk ManagementPortfolio TheoryStatistics
2025/7/24

We are given the risk-free rate, the beta of Stock A and Stock B, and the required return of Stock A...

Financial MathematicsCAPMExpected ReturnBetaRisk-free RateMarket Risk Premium
2025/7/24

The problem asks us to calculate the yield to maturity (YTM) of a bond. We are given the following i...

FinanceBondsYield to MaturityFinancial ModelingApproximation
2025/7/24

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