Here’s the solution to each word problem, with a clear explanation for each:
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Problem 1:
> Xavier is buying a new pair of snowshoes. They are regularly $85, but they are on sale for $68. What percent is the markdown?
Solution:
-
Markdown amount = Original price – Sale price
= $85 – $68 =
$17
-
Percent markdown = (Markdown amount ÷ Original price) × 100%
= ($17 ÷ $85) × 100%
= 0.2 × 100% =
20%
✔ Answer: 20%
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Problem 2:
> The souvenir shop at the Park City Zoo received a shipment of new T-shirts. Each shirt originally costs $12 but will be sold for $13 in the souvenir shop. What is the percent markup on the shirts?
Solution:
-
Markup amount = Selling price – Cost price
= $13 – $12 =
$1
-
Percent markup = (Markup amount ÷ Cost price) × 100%
= ($1 ÷ $12) × 100%
≈ 0.0833 × 100% =
8.33% (rounded to two decimal places)
✔ Answer: 8.33%
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Problem 3:
> Calendar Haven is having a mid-year sale. For the month of July, a calendar regularly priced at $15 is on sale for $9. What percent is the markdown?
Solution:
-
Markdown amount = $15 – $9 =
$6
-
Percent markdown = ($6 ÷ $15) × 100%
= 0.4 × 100% =
40%
✔ Answer: 40%
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Problem 4:
> A clothing store sells a variety of winter coats. The store pays $50 for a certain parka and then marks it up to $86. What percent is the markup?
Solution:
-
Markup amount = $86 – $50 =
$36
-
Percent markup = ($36 ÷ $50) × 100%
= 0.72 × 100% =
72%
✔ Answer: 72%
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Problem 5:
> Vincent found a new scooter for $64, but he waited until it went on sale to buy it. If he bought the scooter for $56, what is the percent markdown?
Solution:
-
Markdown amount = $64 – $56 =
$8
-
Percent markdown = ($8 ÷ $64) × 100%
= 0.125 × 100% =
12.5%
✔ Answer: 12.5%
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📝 Summary of Answers:
1.
20%
2.
8.33%
3.
40%
4.
72%
5.
12.5%
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💡 Key Concepts:
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Markdown = Original Price – Sale Price → Percent Markdown = (Markdown ÷ Original Price) × 100%
-
Markup = Selling Price – Cost Price → Percent Markup = (Markup ÷ Cost Price) × 100%
Always divide by the
original/cost price, not the sale/selling price — this is a common mistake!
Let me know if you’d like to see these worked out with diagrams or formulas!
Parent Tip: Review the logic above to help your child master the concept of markup problems worksheet.
