Jordan opens a weekend pop-up shop. Markup, discounts, tax, and percent change decide whether the shop turns a profit.
Jordan bought tote bags wholesale for $20 each. To make a profit, the shop adds a 50% markup โ a percent added to the cost to set the selling price.
Markup = 50% of $20 = $10. Selling price = $20 + $10 = $30.
How is a markup different from a discount?
A mug costs the shop $24. Jordan adds a 25% markup. What is the selling price?
On Sunday, Jordan ran a sale. A $40 jacket got 25% off, and then 8% sales tax was added to the sale price. "Order matters," Jordan noted. "Discount first, then tax on what's left."
25% off $40 โ $40 โ $10 = $30. Tax: 8% of $30 = $2.40. Total = $30 + $2.40 = $32.40.
A $50 hoodie is 20% off, then 10% tax is added to the sale price. What is the final total?
A customer eyed a $60 jacket sold at two booths. Booth A offered 30% off; Booth B offered $15 off. "A percent and a flat amount aren't the same," Jordan said. "Compute both."
Booth A: 30% of $60 = $18 off โ $42. Booth B: $60 โ $15 = $45. Booth A is cheaper.
What is the price at Booth A (30% off $60)? Type the dollar amount.
Why can't the customer just assume "30% off" beats "$15 off" without computing?
The tote bags were so popular that Jordan raised the price from $40 to $50. "By what percent did the price go up?" Percent change compares the change to the original amount.
Change = $50 โ $40 = $10. Percent increase = $10 รท $40 = 0.25 = 25%.
A keychain's price rises from $20 to $25. What is the percent increase? (Type the number only.)
In percent change, what do you divide by โ and why?
Choose one prompt. Write a clear paragraph (5โ7 sentences) using numbers from the story as evidence.
Optional academic frame: "Because ______, the better choice is ______; the math shows ______."
Jordan buys an item for $20 and wants a 40% profit margin (profit รท selling price = 40%). What selling price achieves this? Explain how you know it is not simply a 40% markup. (Try it, then check with your teacher.)
| Category | 4 โ Advanced | 3 โ Proficient | 2 โ Developing |
|---|---|---|---|
| Comprehension & inference | All analysis questions correct; explains the reasoning | 2 of 3 correct | 1 correct |
| Multi-step math | All 4 Solve-It answers correct (markup, discount-then-tax, compare, percent change) | 3 correct | 2 correct |
| Mathematical argument | Clear claim supported by specific dollar values; explains order/why | Claim with some evidence | States a claim with little evidence |
Grading accepts common formats (30, 30.0, $30; 25 or 25%).