Summary
- Application: Belle Douceur Pastries
- Application: Dynamic Sports Equipment
- Application: SavoirPlus Bookstore
- Application: Naturalis Garden Center
- Application: Tech-Innovation Workshop
- Application: Elite Mode
- Application: Automobiles Lyon Selection
- Application: BioSanté Pharmacy
- Application: Artisan'Ale Brewery
Application: Belle Douceur Pastries
States :
The pastry shop "Pâtisseries Belle Douceur" wants to analyze the profitability of its flagship product, a chocolate cake. The purchase price of the cake (excluding VAT) is €12, and the selling price (excluding VAT) is set at €20. The manager wants to calculate financial indicators and evaluate different scenarios. The applicable VAT rate is 5,5%.
Work to do :
- Calculate the profit margin of the cake.
- Determine the markup rate of the cake.
- What would be the selling price including tax of the cake?
- If the monthly quantity sold is 150 units, what is the overall margin?
- Analyze the financial implications of increasing the purchase price to €14.
Proposed correction:
Margin rate:
The margin rate is calculated using the formula:
Margin rate = ((PV excluding tax – PA excluding tax) ÷ PA excluding tax) x 100
By replacing:
((€20 – €12) ÷ €12) x 100 = 66,67%
The cake margin rate is 66,67%.Mark rate:
The markup rate is calculated using the formula:
Brand rate = ((PV excluding tax – PA excluding tax) ÷ PV excluding tax) x 100
By replacing:
((€20 – €12) ÷ €20) x 100 = 40%
The cake's markup rate is 40%.Selling price including VAT:
The sales price including tax is calculated as follows:
PV including VAT = PV excluding VAT x (1 + VAT)
PV including tax = €20 x (1 + 0,055) = €21,10
The selling price of the cake including tax is €21,10.
Overall margin:
The overall margin is calculated using the formula:
Overall margin = Unit margin x Quantity sold
Unit margin = PV HT – PA HT = €20 – €12 = €8
Overall margin = €8 x 150 units = €1200
The overall monthly margin for the product is €1.Analysis of the increase in the purchase price:
If the purchase price increases to €14, we recalculate the margin rate:
Margin rate = ((€20 – €14) ÷ €14) x 100 = 42,86%
This reduction in the margin rate implies a reduction in profitability, requiring either cost optimization or an adjustment of the sales price.
Formulas Used:
| Title | Formulas |
|---|---|
| Margin rate | ((PV HT – PA HT) ÷ PA HT) x 100 |
| Brand taxes | ((PV HT – PA HT) ÷ PV HT) x 100 |
| PV including tax | PV HT x (1 + VAT) |
| Overall margin | Unit margin x Quantity sold |
| Unit margin | PV HT – PA HT |
Application: Dynamic Sports Equipment
States :
The company "Equipement Sportif Dynamique," specializing in the sale of athletic shoes, wants to analyze the efficiency of its purchasing department. A pair of shoes with a purchase price of €60 (excluding VAT) is sold for €100 (excluding VAT). The manager wants to estimate some key performance indicators. The applicable VAT rate is 20%.
Work to do :
- Calculate the margin rate for the pair of shoes.
- Determine the markup rate of this product.
- What is the selling price including tax of a pair of shoes?
- If the company sells 200 pairs of shoes per month, what is the overall monthly margin?
- Discuss the impact of a 10% discount on the net selling price and its consequences on the markup rate.
Proposed correction:
Margin rate:
Margin rate = ((PV excluding tax – PA excluding tax) ÷ PA excluding tax) x 100
By replacing:
((€100 – €60) ÷ €60) x 100 = 66,67%
The margin rate of the pair of shoes is 66,67%.Mark rate:
Brand rate = ((PV excluding tax – PA excluding tax) ÷ PV excluding tax) x 100
By replacing:
((€100 – €60) ÷ €100) x 100 = 40%
The markup rate of the pair of shoes is 40%.Selling price including VAT:
PV including VAT = PV excluding VAT x (1 + VAT)
PV including tax = €100 x (1 + 0,20) = €120
The selling price including tax for a pair of shoes is €120.
Overall margin:
Unit margin = PV HT – PA HT = €100 – €60 = €40
Total margin = €40 x 200 = €8000
The overall monthly margin is €8.Impact of the 10% discount:
New PV excluding VAT = €100 x (1 – 0,10) = €90
New markup rate = ((€90 – €60) ÷ €90) x 100 = 33,33%
A 10% discount on the net selling price reduces the markup rate to 33,33%, thus affecting the profitability of the product.
Formulas Used:
| Title | Formulas |
|---|---|
| Margin rate | ((PV HT – PA HT) ÷ PA HT) x 100 |
| Brand taxes | ((PV HT – PA HT) ÷ PV HT) x 100 |
| PV including tax | PV HT x (1 + VAT) |
| Unit margin | PV HT – PA HT |
| Overall margin | Unit margin x Quantity sold |
Application: SavoirPlus Bookstore
States :
The bookstore "SavoirPlus" wants to calculate the profitability of a popular book it sells. The purchase cost (excluding VAT) of the book is €15, and the selling price (excluding VAT) is €25. The manager wants to evaluate these indicators and consider possible adjustments. The applicable VAT rate is 5,5%.
Work to do :
- What is the margin rate for this book?
- Calculate the book's markup rate.
- What is the sales price including tax applied to the book?
- For a monthly sale of 100 books, what is the overall margin for this product?
- What would be the financial implications if the VAT rate increased to 10%?
Proposed correction:
Margin rate:
Margin rate = ((PV excluding tax – PA excluding tax) ÷ PA excluding tax) x 100
By replacing:
((€25 – €15) ÷ €15) x 100 = 66,67%
The margin rate for the book is 66,67%.Mark rate:
Brand rate = ((PV excluding tax – PA excluding tax) ÷ PV excluding tax) x 100
By replacing:
((€25 – €15) ÷ €25) x 100 = 40%
The book's markup rate is 40%.Selling price including VAT:
PV including VAT = PV excluding VAT x (1 + VAT)
PV incl. VAT = €25 x (1 + 0,055) = €26,375 ? rounded to €26,38
The sales price of the book including tax is €26,38.
Overall margin:
Unit margin = PV HT – PA HT = €25 – €15 = €10
Overall margin = €10 x 100 = €1
The overall monthly margin is €1 for this book.Implications of a 10% VAT:
With a VAT rate of 10%, the new PV including VAT would be:
New PV including VAT = €25 x (1 + 0,10) = €27,50
The increase in the sales price including tax could affect demand for the book.
Formulas Used:
| Title | Formulas |
|---|---|
| Margin rate | ((PV HT – PA HT) ÷ PA HT) x 100 |
| Brand taxes | ((PV HT – PA HT) ÷ PV HT) x 100 |
| PV including tax | PV HT x (1 + VAT) |
| Unit margin | PV HT – PA HT |
| Overall margin | Unit margin x Quantity sold |
Application: Naturalis Garden Center
States :
The "Naturalis" garden center wants to evaluate the sales performance of a set of flower pots. The purchase cost (excluding VAT) of a set of flower pots is €10, and it is sold at a price (excluding VAT) of €18. The manager wants to obtain several indicators to adjust their strategy. The applicable VAT rate is 5,5%.
Work to do :
- Calculate the margin rate for the set of flower pots.
- Determine the markup rate of this item.
- What would be the selling price including tax?
- If the garden center sells 300 sets per month, what is the overall margin?
- What action would you recommend if the storage cost increased by €2 per set?
Proposed correction:
Margin rate:
Margin rate = ((PV excluding tax – PA excluding tax) ÷ PA excluding tax) x 100
By replacing:
((€18 – €10) ÷ €10) x 100 = 80%
The markup is 80% for this set of flower pots.Mark rate:
Brand rate = ((PV excluding tax – PA excluding tax) ÷ PV excluding tax) x 100
By replacing:
((€18 – €10) ÷ €18) x 100 = 44,44%
The markup rate is 44,44%.Selling price including VAT:
PV including VAT = PV excluding VAT x (1 + VAT)
PV including tax = €18 x (1 + 0,055) = €18,99
The sales price including VAT is €18,99.
Overall margin:
Unit margin = PV HT – PA HT = €18 – €10 = €8
Total margin = €8 x 300 = €2400
The overall monthly margin is €2.Recommendation in the face of increasing storage costs:
Faced with a €2 increase in storage costs, it would be wise to re-evaluate the selling price or look for cost reductions elsewhere to preserve the margin.
Formulas Used:
| Title | Formulas |
|---|---|
| Margin rate | ((PV HT – PA HT) ÷ PA HT) x 100 |
| Brand taxes | ((PV HT – PA HT) ÷ PV HT) x 100 |
| PV including tax | PV HT x (1 + VAT) |
| Unit margin | PV HT – PA HT |
| Overall margin | Unit margin x Quantity sold |
Application: Tech-Innovation Workshop
States :
The "Tech-Innovation" workshop produces an innovative charging station at a production cost of €30 (excluding VAT) and sells it for €50 (excluding VAT). The manager wants to evaluate various financial aspects to adjust his sales strategy. The applicable VAT rate is 20%.
Work to do :
- Calculate the margin rate for the charging station.
- What is the mark rate?
- Determine the selling price including tax.
- What is the overall margin if 500 stations are sold per month?
- Assess the implications of a 15% discount on the PV HT to stimulate sales.
Proposed correction:
Margin rate:
Margin rate = ((PV excluding tax – PA excluding tax) ÷ PA excluding tax) x 100
By replacing:
((€50 – €30) ÷ €30) x 100 = 66,67%
The margin rate for the charging station is 66,67%.Mark rate:
Brand rate = ((PV excluding tax – PA excluding tax) ÷ PV excluding tax) x 100
By replacing:
((€50 – €30) ÷ €50) x 100 = 40%
The markup rate is 40%.Selling price including VAT:
PV including VAT = PV excluding VAT x (1 + VAT)
PV including tax = €50 x (1 + 0,20) = €60
The sales price including VAT is €60.
Overall margin:
Unit margin = PV HT – PA HT = €50 – €30 = €20
Overall margin = €20 x 500 = €10
The overall monthly margin is €10.Evaluation of a 15% discount:
New PV excluding VAT = €50 x (1 – 0,15) = €42,50
New markup rate = ((€42,50 – €30) ÷ €42,50) x 100 = 29,41%
A 15% discount would reduce the markup rate to 29,41%, which may require further measures to maintain profitability.
Formulas Used:
| Title | Formulas |
|---|---|
| Margin rate | ((PV HT – PA HT) ÷ PA HT) x 100 |
| Brand taxes | ((PV HT – PA HT) ÷ PV HT) x 100 |
| PV including tax | PV HT x (1 + VAT) |
| Unit margin | PV HT – PA HT |
| Overall margin | Unit margin x Quantity sold |
Application: Elite Mode
States :
The fashion boutique "Elite" sells an expensive handbag. The purchase price (excluding VAT) is €150, while the selling price (excluding VAT) is €250. The manager wants to conduct a detailed financial analysis to optimize her profit margins. The applicable VAT rate is 20%.
Work to do :
- Determine the handbag margin rate.
- Calculate the markup rate.
- What is the selling price including tax of the handbag?
- What is the overall margin if 50 bags are sold monthly?
- What do you recommend if the market becomes more competitive and forces a price drop?
Proposed correction:
Margin rate:
Margin rate = ((PV excluding tax – PA excluding tax) ÷ PA excluding tax) x 100
By replacing:
((€250 – €150) ÷ €150) x 100 = 66,67%
The handbag margin rate is 66,67%.Mark rate:
Brand rate = ((PV excluding tax – PA excluding tax) ÷ PV excluding tax) x 100
By replacing:
((€250 – €150) ÷ €250) x 100 = 40%
The markup rate is 40%.Selling price including VAT:
PV including VAT = PV excluding VAT x (1 + VAT)
PV including tax = €250 x (1 + 0,20) = €300
The selling price of the handbag including tax is €300.
Overall margin:
Unit margin = PV HT – PA HT = €250 – €150 = €100
Overall margin = €100 x 50 = €5
The overall monthly margin is €5.Recommendation in a competitive market:
In a more competitive market, it would be advisable to review marketing strategies, possibly adjust the price, or further enhance the product to maintain sales and profitability.
Formulas Used:
| Title | Formulas |
|---|---|
| Margin rate | ((PV HT – PA HT) ÷ PA HT) x 100 |
| Brand taxes | ((PV HT – PA HT) ÷ PV HT) x 100 |
| PV including tax | PV HT x (1 + VAT) |
| Unit margin | PV HT – PA HT |
| Overall margin | Unit margin x Quantity sold |
Application: Automobiles Lyon Selection
States :
The company "Automobiles Lyon Sélection" sells an electric car model. The purchase price (excluding VAT) of the car is €20,000, and the selling price (excluding VAT) is set at €25,000. The company wants to calculate profit margins and anticipate the effects on future sales. The applicable VAT rate is 20%.
Work to do :
- Calculate the margin rate for this car model.
- Determine the markup rate of this car.
- What is the sales price including tax?
- What would be the overall margin if 40 cars are sold per month?
- Consider a scenario if the purchase price increases by 10%. What is the implication on the margin rate?
Proposed correction:
Margin rate:
Margin rate = ((PV excluding tax – PA excluding tax) ÷ PA excluding tax) x 100
By replacing:
((€25 – €000) ÷ €20) x 000 = 20%
The margin rate for the car is 25%.Mark rate:
Brand rate = ((PV excluding tax – PA excluding tax) ÷ PV excluding tax) x 100
By replacing:
((€25 – €000) ÷ €20) x 000 = 25%
The markup rate is 20%.Selling price including VAT:
PV including VAT = PV excluding VAT x (1 + VAT)
PV including tax = €25 x (000 + 1) = €0,20
The selling price including tax is €30.
Overall margin:
Unit margin = PV HT – PA HT = €25 – €000 = €20
Total margin = €5 x 000 = €40
The overall monthly margin is €200.Implication of an increase in the purchase price:
New PA HT = €20 x (000 + 1) = €0,10
New margin rate = ((€25 – €000) ÷ €22) x 000 = 22%
A 10% increase in the purchase cost significantly reduces the margin rate, requiring a readjustment of prices or costs.
Formulas Used:
| Title | Formulas |
|---|---|
| Margin rate | ((PV HT – PA HT) ÷ PA HT) x 100 |
| Brand taxes | ((PV HT – PA HT) ÷ PV HT) x 100 |
| PV including tax | PV HT x (1 + VAT) |
| Unit margin | PV HT – PA HT |
| Overall margin | Unit margin x Quantity sold |
Application: BioSanté Pharmacy
States :
The pharmacy "BioSanté" wishes to analyze the profitability of an innovative paramedical product. The purchase cost (excluding VAT) is €80, and it is sold for €120 (excluding VAT). The applicable VAT rate is 5,5%. The objective is to evaluate the product's performance in the market.
Work to do :
- Calculate the margin rate for this product.
- What is the mark rate?
- Determine the selling price including tax.
- If 70 units are sold per month, what is the overall margin?
- What would happen if a new tax increased the cost of purchasing by 5%?
Proposed correction:
Margin rate:
Margin rate = ((PV excluding tax – PA excluding tax) ÷ PA excluding tax) x 100
By replacing:
((€120 – €80) ÷ €80) x 100 = 50%
The margin rate is 50% for this paramedical product.Mark rate:
Brand rate = ((PV excluding tax – PA excluding tax) ÷ PV excluding tax) x 100
By replacing:
((€120 – €80) ÷ €120) x 100 = 33,33%
The markup rate is 33,33%.Selling price including VAT:
PV including VAT = PV excluding VAT x (1 + VAT)
PV including tax = €120 x (1 + 0,055) = €126,60
The sales price including VAT is €126,60.
Overall margin:
Unit margin = PV HT – PA HT = €120 – €80 = €40
Overall margin = €40 x 70 = €2
The overall monthly margin is €2.Consequences of a 5% tax:
New purchase cost = €80 x (1 + 0,05) = €84
New margin rate = ((€120 – €84) ÷ €84) x 100 = 42,86%
A new tax would reduce the margin rate to 42,86%, which could affect profitability.
Formulas Used:
| Title | Formulas |
|---|---|
| Margin rate | ((PV HT – PA HT) ÷ PA HT) x 100 |
| Brand taxes | ((PV HT – PA HT) ÷ PV HT) x 100 |
| PV including tax | PV HT x (1 + VAT) |
| Unit margin | PV HT – PA HT |
| Overall margin | Unit margin x Quantity sold |
Application: Artisan'Ale Brewery
States :
The "Artisan'Ale Brewery" wants to evaluate the performance of its new craft beer. The production cost of a bottle (excluding VAT) is €2, and it is sold for €4 (excluding VAT). The brewery wants to calculate various indicators to adjust its marketing strategy. The applicable VAT rate is 20%.
Work to do :
- Calculate the margin rate for beer.
- Determine the brand rate of this beer.
- What will the sales price including tax be?
- For a monthly production of 1000 bottles, what is the overall margin?
- Analyze the impact of a marketing campaign that increases demand by 30%, but requires a 10% discount on the pre-tax price.
Proposed correction:
Margin rate:
Margin rate = ((PV excluding tax – PA excluding tax) ÷ PA excluding tax) x 100
By replacing:
((€4 – €2) ÷ €2) x 100 = 100%
The margin rate for beer is 100%.Mark rate:
Brand rate = ((PV excluding tax – PA excluding tax) ÷ PV excluding tax) x 100
By replacing:
((€4 – €2) ÷ €4) x 100 = 50%
The markup rate is 50%.Selling price including VAT:
PV including VAT = PV excluding VAT x (1 + VAT)
PV including tax = €4 x (1 + 0,20) = €4,80
The sales price including VAT is €4,80.
Overall margin:
Unit margin = PV HT – PA HT = €4 – €2 = €2
Overall margin = €2 x 1000 = €2
The overall monthly margin is €2.Impact of the marketing campaign:
New PV excluding VAT = €4 x (1 – 0,10) = €3,60
New unit margin = €3,60 – €2 = €1,60
New quantity = 1000 x 1,30 = 1300 bottles
New overall margin = €1,60 x 1300 = €2
Despite the discount, increased demand is slightly improving the overall margin.
Formulas Used:
| Title | Formulas |
|---|---|
| Margin rate | ((PV HT – PA HT) ÷ PA HT) x 100 |
| Brand taxes | ((PV HT – PA HT) ÷ PV HT) x 100 |
| PV including tax | PV HT x (1 + VAT) |
| Unit margin | PV HT – PA HT |
| Overall margin | Unit margin x Quantity sold |