Menu Pricing Word Problems: Five Ways to Price a Dish, Worked Step by Step
Price = plate cost ÷ target food cost %, which is the same as plate cost × markup factor (factor = 1 ÷ food cost %). A $3.10 plate at a 25% target sells for $12.40. The other methods change where the target comes from — the budget, a dollar margin per guest, or food plus labor — but each one still starts from what the plate costs.
Menu pricing is the last step of the costing chain taught in hospitality and culinary courses: yield gives the usable cost, cost per serving gives the plate cost, and pricing turns that into a menu price. If you only need the basic food cost formula, food cost percentage word problems covers it in depth; this page compares the methods side by side, the way a cost-control exam does.
The Formulas
Food cost % method: price = plate cost ÷ target food cost %
Markup factor = 1 ÷ food cost % → price = plate cost × factor
Contribution margin = price − plate cost
Contribution margin pricing: price = plate cost + (non-food costs + profit) ÷ guests
Prime cost pricing: price = (food + direct labor per plate) ÷ target prime cost %
Level 1: The Food Cost Percentage Method
A chicken sandwich has a plate cost of $3.10. The target food cost is 25%. What is the menu price?
$3.10 ÷ 0.25 = $12.40.
Check by going back: $3.10 ÷ $12.40 = 25%. Dividing by the target is the step people most often reverse: $3.10 × 0.25 = $0.78, which is less than the food itself costs. A price can never come out below the plate cost.
Level 2: The Markup Factor
A kitchen targets a 28% food cost. What markup factor does that give, and what is the price of a soup that costs $1.05 a portion?
Factor = 1 ÷ 0.28 = 3.57. Price = $1.05 × 3.57 = $3.75.
The factor and the percentage are the same idea written two ways. A factor of 4 is a 25% food cost, 3 is 33.3%, and 3.5 is 28.6%. Kitchens like the factor because multiplying is faster at the pass than dividing.
Level 3: A Markup From the Budget
A restaurant expects $40,000 in monthly sales. Labor will cost $13,000, other operating costs $12,000, and the owner wants $5,000 profit. What food cost percentage is left, what markup factor does it give, and what should a dish with a $2.60 plate cost sell for?
Food budget = $40,000 − $13,000 − $12,000 − $5,000 = $10,000. Food cost % = $10,000 ÷ $40,000 = 25%. Factor = 1 ÷ 0.25 = 4.
Price = $2.60 × 4 = $10.40.
This is where a target food cost actually comes from: it is whatever is left after everything else and the profit are paid for. A textbook problem may call it the budgeted or markup-on-cost method.
Level 4: Contribution Margin Pricing
Non-food costs (labor, rent, utilities and the rest) plus the desired profit come to $36,000 a month. The restaurant expects 4,000 guests. A salmon plate costs $5.25. What should it sell for?
Each guest must contribute $36,000 ÷ 4,000 = $9.00 above the cost of the food.
Price = $5.25 + $9.00 = $14.25.
Contribution margin pricing adds the same dollar amount to every plate, so expensive items end up with a lower food cost percentage than they would with a fixed markup. Here the salmon runs at a 36.8% food cost; a 25% food cost target would have priced it at $21.00, which may be more than guests will pay.
Level 5: Comparing Items by Contribution Margin
Pasta costs $2.80 and sells for $14.00. Salmon costs $8.40 and sells for $26.00. Which has the better food cost percentage, and which earns more per plate? In a week the restaurant sells 60 pastas and 40 salmons — what is the total contribution margin and the combined food cost percentage?
Pasta: $2.80 ÷ $14.00 = 20%, margin $14.00 − $2.80 = $11.20. Salmon: $8.40 ÷ $26.00 = 32.3%, margin $26.00 − $8.40 = $17.60.
Total margin = 60 × $11.20 + 40 × $17.60 = $672 + $704 = $1,376. Combined food cost = ($168 + $336) ÷ ($840 + $1,040) = $504 ÷ $1,880 = 26.8%.
The pasta has the "better" percentage, but every salmon sold leaves $6.40 more to pay the bills. Menu engineering is built on this: a low food cost percentage is not the same as a profitable dish.
Level 6: Prime Cost and Buffet Pricing
A braised short rib takes $4.00 of food and $2.50 of direct prep labor per portion. The target prime cost is 60%. What is the price, rounded up to a menu ending of .95?
Prime cost per plate = $4.00 + $2.50 = $6.50. Price = $6.50 ÷ 0.60 = $10.83, so $10.95 on the menu.
Prime cost pricing charges more for labor-heavy dishes that a pure food cost method would under-price. Prime cost as a share of sales is covered in labor cost percentage word problems.
A lunch buffet used $412.50 of food to serve 75 guests. What is the plate cost, and what price gives a 35% food cost?
Plate cost = $412.50 ÷ 75 = $5.50. Price = $5.50 ÷ 0.35 = $15.71, so $15.95.
For a buffet, the plate cost comes from what was actually used — food put out, minus what was left — divided by the guests served, not from a recipe card.
Quick Reference
| Method | Price formula | Best for |
|---|---|---|
| Food cost % | Plate cost ÷ target % | Most menus; the default exam method |
| Markup factor | Plate cost × (1 ÷ target %) | Quick pricing at the pass |
| Budget markup | Factor from (sales − labor − overhead − profit) ÷ sales | Setting the target in the first place |
| Contribution margin | Plate cost + (non-food costs + profit) ÷ guests | Expensive proteins, steakhouses |
| Prime cost | (Food + direct labor) ÷ target prime % | Labor-heavy dishes |
| Buffet plate cost | Food used ÷ guests, then ÷ target % | Buffets, salad bars |
Common Mistakes
- Multiplying by the percentage instead of dividing. $3.10 × 0.25 gives a number smaller than the cost.
- Confusing markup on cost with margin on price. A factor of 4 is a 25% food cost, not a 400% food cost and not a 75% profit — the other 75% pays labor and overhead too.
- Judging a dish only by its percentage. Compare contribution margins too.
- Rounding down to a menu ending. Round up — $10.83 becomes $10.95, not $10.75.
Printable Worksheet: 8 Menu Pricing Problems With Answer Key
These 8 problems are new — none of them repeat the worked examples above, so they work as homework, a quiz or a warm-up. Print the worksheet and the answer key separately; the key shows the working for every answer, not just the final number.
Menu Pricing Word Problems — Worksheet
Food cost % = cost ÷ price. Markup factor = 1 ÷ food cost %. Contribution margin = price − cost. Round money to the nearest cent. Show your working.
- A dish has a plate cost of $3.60 and a target food cost of 30%. What is the menu price?
- The target food cost is 32%. What is the markup factor?
- A side costs $2.80 to make. The kitchen uses a markup factor of 3.5. What is the price?
- An entrée sells for $18.00 and costs $5.40. What are its food cost percentage and contribution margin?
- Projected sales are $60,000. Labor is $19,800, other operating costs $17,400 and the profit goal $6,000. What food cost percentage and markup factor does that leave?
- Non-food costs plus profit are $27,000 a month and 3,000 guests are expected. A dish costs $4.75. Using contribution margin pricing, what is the price?
- A dish uses $3.20 of food and $1.60 of direct labor. The target prime cost is 60%. What is the price?
- A breakfast buffet used $630 of food for 90 guests. What is the plate cost, and what price gives a 40% food cost?
CookingCalcs · cookingcalcs.com/blog/menu-pricing-word-problems.html
Show answer key
Menu Pricing Word Problems — Answer Key
- $12.00. $3.60 ÷ 0.30 = $12.00.
- 3.125. 1 ÷ 0.32 = 3.125.
- $9.80. $2.80 × 3.5 = $9.80.
- 30%; $12.60. $5.40 ÷ $18.00 = 30%. $18.00 − $5.40 = $12.60.
- 28%; factor 3.57. $60,000 − $19,800 − $17,400 − $6,000 = $16,800. $16,800 ÷ $60,000 = 28%. 1 ÷ 0.28 = 3.57.
- $13.75. $27,000 ÷ 3,000 = $9.00 per guest. $4.75 + $9.00 = $13.75.
- $8.00. $3.20 + $1.60 = $4.80. $4.80 ÷ 0.60 = $8.00.
- $7.00; $17.50. $630 ÷ 90 = $7.00. $7.00 ÷ 0.40 = $17.50.
CookingCalcs · cookingcalcs.com/blog/menu-pricing-word-problems.html
More Practice
Pricing sits at the end of the costing chain: yield percentage → cost per serving → food cost percentage → menu price. Labor and prime cost are in labor cost percentage word problems, and the complete culinary math guide puts every step in order. For a recipe's full cost, the meal cost calculator adds up ingredients line by line.
Frequently Asked Questions
How do you calculate a menu price from food cost?
Divide the plate cost by the target food cost percentage as a decimal. A dish that costs $3.10 to make, at a 25% target, sells for $3.10 ÷ 0.25 = $12.40.
What is a markup factor in menu pricing?
The number you multiply the plate cost by to get the price. It is 1 divided by the target food cost percentage: a 25% target gives a factor of 4, and 28% gives 3.57.
What is contribution margin on a menu item?
The selling price minus the plate cost — the dollars each sale leaves to cover labor, overhead and profit. A $26 salmon costing $8.40 has a contribution margin of $17.60.
What is the prime cost pricing method?
Add the food cost and the direct labor cost for one portion, then divide by the target prime cost percentage. $4.00 food plus $2.50 labor at a 60% target gives $6.50 ÷ 0.60 = $10.83.