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The Pop-Up Shop

Jordan opens a weekend pop-up shop. Markup, discounts, tax, and percent change decide whether the shop turns a profit.

Enrichment Reading + Math Percents: Markup, Discount, Tax, Change 6.RP.3c Challenge Level
Part 1 โ€” Setting the Price (Markup)

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.

Analyze โ€” Q1

How is a markup different from a discount?

Solve It โ€” #1

A mug costs the shop $24. Jordan adds a 25% markup. What is the selling price?

Part 2 โ€” Discount, Then Tax

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 โˆ’ $10 = $30. Tax: 8% of $30 = $2.40. Total = $30 + $2.40 = $32.40.

Solve It โ€” #2

A $50 hoodie is 20% off, then 10% tax is added to the sale price. What is the final total?

Part 3 โ€” Comparing Two Deals

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 โˆ’ $15 = $45. Booth A is cheaper.

Solve It โ€” #3

What is the price at Booth A (30% off $60)? Type the dollar amount.

Analyze โ€” Q2

Why can't the customer just assume "30% off" beats "$15 off" without computing?

Part 4 โ€” Percent Change

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 โˆ’ $40 = $10. Percent increase = $10 รท $40 = 0.25 = 25%.

Solve It โ€” #4

A keychain's price rises from $20 to $25. What is the percent increase? (Type the number only.)

Analyze โ€” Q3

In percent change, what do you divide by โ€” and why?

After You Read โ€” Analytical Writing

Make a Mathematical Argument

Choose one prompt. Write a clear paragraph (5โ€“7 sentences) using numbers from the story as evidence.

Prompt A โ€” Advise a shopper. Using Booth A vs. Booth B, advise the customer which deal to take and explain why a "30% off" can beat a "$15 off." Use the dollar values as evidence.
Prompt B โ€” Explain order of operations in money. Explain why Jordan applies the discount before the tax, and how markup, discount, and tax each change a price differently. Use a numeric example from the story.

Optional academic frame: "Because ______, the better choice is ______; the math shows ______."

Challenge Extension

Think Further

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.)

How You Are Scored

Rubric

Category4 โ€” Advanced3 โ€” Proficient2 โ€” Developing
Comprehension & inferenceAll analysis questions correct; explains the reasoning2 of 3 correct1 correct
Multi-step mathAll 4 Solve-It answers correct (markup, discount-then-tax, compare, percent change)3 correct2 correct
Mathematical argumentClear claim supported by specific dollar values; explains order/whyClaim with some evidenceStates a claim with little evidence
๐Ÿ”‘ Teacher Answer Key (click to expand)
  1. Q1 โ€” A markup is added to the cost; a discount is subtracted from the price.
  2. Solve It #1 โ€” $30 ($24 + 25% markup).
  3. Solve It #2 โ€” $44 ($50 โ†’ $40 after 20% off โ†’ +10% tax).
  4. Solve It #3 โ€” $42 (30% off $60); cheaper than Booth B's $45.
  5. Q2 โ€” A percent off depends on the price, so compute its dollar value.
  6. Solve It #4 โ€” 25% ($5 รท $20).
  7. Q3 โ€” Divide by the original amount.
  8. Extension โ€” $33.33 (selling price = cost รท (1 โˆ’ 0.40) = 20 รท 0.6 โ‰ˆ $33.33; a 40% margin โ‰  40% markup, which would be only $28).

Grading accepts common formats (30, 30.0, $30; 25 or 25%).