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Worksheet on calculating selling prices using markup and discount formulas.

A worksheet titled "Markup, Discount, and Tax" from Kuta Software - Infinite Pre-Algebra, featuring 12 problems that require calculating selling prices based on markup percentages or original prices with discounts.

A worksheet titled "Markup, Discount, and Tax" from Kuta Software - Infinite Pre-Algebra, featuring 12 problems that require calculating selling prices based on markup percentages or original prices with discounts.

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Show Answer Key & Explanations Step-by-step solution for: Markup and Discount Problems Lesson Plans & Worksheets
You're given a worksheet titled “Markup, Discount, and Tax” from Kuta Software. The goal is to find the selling price of each item, based on either:

- Cost + Markup % → Selling Price = Cost × (1 + Markup%)
- Original Price – Discount % → Selling Price = Original Price × (1 – Discount%)

Let’s solve each problem step by step.

---

🔢 1) Cost of a sled: $99.50 | Markup: 95%


> Selling Price = Cost × (1 + Markup%)
> = 99.50 × (1 + 0.95) = 99.50 × 1.95
> = $194.025 → Round to nearest cent: $194.03

Answer: $194.03

---

🔢 2) Cost of a comic book: $3.95 | Markup: 20%


> Selling Price = 3.95 × (1 + 0.20) = 3.95 × 1.20
> = $4.74

Answer: $4.74

---

🔢 3) Cost of an oil change: $18.00 | Markup: 70%


> Selling Price = 18.00 × (1 + 0.70) = 18.00 × 1.70
> = $30.60

Answer: $30.60

---

🔢 4) Cost of a CD: $14.50 | Markup: 30%


> Selling Price = 14.50 × (1 + 0.30) = 14.50 × 1.30
> = $18.85

Answer: $18.85

---

🔢 5) Cost of an MP3 player: $129.50 | Markup: 60%


> Selling Price = 129.50 × (1 + 0.60) = 129.50 × 1.60
> = $207.20

Answer: $207.20

---

🔢 6) Cost of an oil change: $21.95 | Markup: 65%


> Selling Price = 21.95 × (1 + 0.65) = 21.95 × 1.65
> = $36.2175 → Round to $36.22

Answer: $36.22

---

🔢 7) Cost of a pen: $0.95 | Markup: 60%


> Selling Price = 0.95 × (1 + 0.60) = 0.95 × 1.60
> = $1.52

Answer: $1.52

---

🔢 8) Cost of a computer: $1,850.00 | Markup: 75%


> Selling Price = 1850.00 × (1 + 0.75) = 1850.00 × 1.75
> = $3,237.50

Answer: $3,237.50

---

🔢 9) Original price of concert tickets: $100.00 | Discount: 21%


> Selling Price = 100.00 × (1 – 0.21) = 100.00 × 0.79
> = $79.00

Answer: $79.00

---

🔢 10) Original price of a book: $18.50 | Discount: 45%


> Selling Price = 18.50 × (1 – 0.45) = 18.50 × 0.55
> = $10.175 → Round to $10.18

Answer: $10.18

---

🔢 11) Original price of a telescope: $99.99 | Discount: 13%


> Selling Price = 99.99 × (1 – 0.13) = 99.99 × 0.87
> = $86.9913 → Round to $86.99

Answer: $86.99

---

🔢 12) Original price of a CD: $22.99 | Discount: 5%


> Selling Price = 22.99 × (1 – 0.05) = 22.99 × 0.95
> = $21.8405 → Round to $21.84

Answer: $21.84

---

## 📝 Final Answers Summary:

| Problem | Selling Price |
|---------|---------------|
| 1 | $194.03 |
| 2 | $4.74 |
| 3 | $30.60 |
| 4 | $18.85 |
| 5 | $207.20 |
| 6 | $36.22 |
| 7 | $1.52 |
| 8 | $3,237.50 |
| 9 | $79.00 |
| 10 | $10.18 |
| 11 | $86.99 |
| 12 | $21.84 |

---

## 🧠 Key Concept Recap:
- Markup: Add percentage to cost → Multiply cost by (1 + markup rate).
- Discount: Subtract percentage from original price → Multiply original price by (1 – discount rate).
- Always round money to two decimal places (nearest cent).

Let me know if you’d like to see how these formulas work visually or with diagrams!
Parent Tip: Review the logic above to help your child master the concept of calculating prices using discounts worksheet.
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