Courses · Business Mathematics · Week 2

Unit Cost, Markup & Price

Week 2 of Business Mathematics, a fifteen-week course taught through Food Truck Wars, a live business simulation. Free to read; the practice boxes check your arithmetic as you go.

Your burger costs $3.20 to make and sells for $8.00. Is that a rip-off? Not even close: it is a 150% markup, and most of that gap has bills to pay. This week you learn to read it.

Learning objectives. After this week you can (1) find the unit cost of an item you sell; (2) compute a price from cost and markup; and (3) work backwards from a price to the markup or the cost.

Remember this: markup starts from cost. Price = Cost × (1 + Markup).

1) Unit cost: the foundation

Ingredient Cost = Units Sold × Unit Cost

The unit cost is what one item costs to make: the patty, bun and toppings, about $3.20 a burger. You never have to guess it: your decision form prints each item's unit cost. Sell 240 burgers and the ingredients cost 240 × $3.20 = $768. It is a variable cost, paid once per item sold.

2) Markup: a percent of cost

Price = Cost × (1 + Markup)

A 150% markup on a $3.20 burger: $3.20 × 2.5 = $8.00. Think of (1 + Markup) as a multiplier: 50% is ×1.5, 150% is ×2.5, 250% is ×3.5. A 100% markup, called keystone, simply doubles the cost. Keep the same markup when your cost goes up, and your price goes up with it.

Try it

Your burger costs $4.50 to make and you want a 120% markup on top.

Price = Cost × (1 + Markup)

Fill in the boxes.

3) Working backwards: recovering the markup

Markup % = (Price − Cost) ÷ Cost × 100
Cost = Price ÷ (1 + Markup)

An $8.50 burger that costs $3.20: (8.50 − 3.20) ÷ 3.20 ≈ 166%. And a $5.00 item at a 150% markup must cost 5.00 ÷ 2.5 = $2.00. Cost, markup, price: know any two and you can find the third.

Try it

Now backwards. A rival sells a $2.10 taco for $6.50.

Markup % = (Price − Cost) ÷ Cost × 100

Fill in the boxes.

4) Percent vs. dollars

Gross Profit per Unit = Price − Unit Cost

ItemUnit costMarkupPriceGross profit/unit
Burger$3.20150%$8.00$4.80
Fries$1.60100%$3.20$1.60
Drink$1.10200%$3.30$2.20

The drink has the biggest markup and the burger earns the most dollars. A percent is a ratio, not a paycheck.

Quick self-check

(a) An item costs $2.40 and you want a 125% markup. Price? (b) An item sells for $9.60 and costs $3.20. Markup? (c) You want a $6.00 price at a 100% markup. What must the unit cost be? (Answers: 2.40 × 2.25 = $5.40; 6.40 ÷ 3.20 = 200%; 6.00 ÷ 2 = $3.00.)

Common mistakes

  • Measuring markup against price. Markup divides by cost. Divide by price and you get margin, a different number.
  • Adding the percent. A 150% markup on $3.20 is $3.20 × 2.5, not $3.20 + $1.50.
  • Chasing the biggest percent. Rank items by dollars per sale, not by markup.

This week in the arena

Take your hero item. Read its unit cost off the decision form, then work out the markup at the price you are charging now. Was that markup a choice, or a guess from day one? Markup is your plan, but the crowd at your corner has the last word, and a price one crowd shrugs at can send another crowd walking. After the close, see what your Daily Report says happened to units.

In the course, the reading is where the week starts

Students who take Business Mathematics on Extrapoli run a business in Food Truck Wars all term. Each week pairs this reading with a quiz and a two-part assignment worked from the numbers their own team produced in the simulation, and the numbers are graded automatically against the simulation that team actually ran.