Markup and Discount Problems Lesson Plans & Worksheets - Free Printable

You’re working on a Markup, Discount, and Tax worksheet from Kuta Software. The goal is to find the selling price of each item, given 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.

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Formulas:

✔ Markup:
> Selling Price = Cost × (1 + Markup Rate as decimal)

✔ Discount:
> Selling Price = Original Price × (1 – Discount Rate as decimal)

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## ✔ Problem-by-Problem Solutions:

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

→ Markup rate = 95% = 0.95
→ Selling Price = 99.50 × (1 + 0.95) = 99.50 × 1.95

Calculation:
99.50 × 1.95 =
= (100 - 0.50) × 1.95
= 100×1.95 - 0.50×1.95
= 195 - 0.975
= $194.025 → $194.03 (rounded to nearest cent)

✔ Answer: $194.03

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

→ 20% = 0.20
→ Selling Price = 3.95 × (1 + 0.20) = 3.95 × 1.20

Calculation:
3.95 × 1.20 = 4.74

✔ Answer: $4.74

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

→ 70% = 0.70
→ Selling Price = 18.00 × (1 + 0.70) = 18 × 1.70

Calculation:
18 × 1.7 = 30.6

✔ Answer: $30.60

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

→ 30% = 0.30
→ Selling Price = 14.50 × 1.30

Calculation:
14.50 × 1.30 = 18.85

✔ Answer: $18.85

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

→ 60% = 0.60
→ Selling Price = 129.50 × 1.60

Calculation:
129.50 × 1.6 =
= 129.50 × (1 + 0.6) = 129.50 + 77.70 = 207.20

✔ Answer: $207.20

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

→ 65% = 0.65
→ Selling Price = 21.95 × 1.65

Calculation:
21.95 × 1.65
Break it down:
21.95 × 1 = 21.95
21.95 × 0.65 = ?
→ 20 × 0.65 = 13, 1.95 × 0.65 ≈ 1.2675 → total ≈ 14.2675
Total = 21.95 + 14.2675 = 36.2175 → $36.22

✔ Answer: $36.22

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

→ 60% = 0.60
→ Selling Price = 0.95 × 1.60 = 1.52

✔ Answer: $1.52

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

→ 75% = 0.75
→ Selling Price = 1850 × 1.75

Calculation:
1850 × 1.75 = 1850 × (1 + 0.75) = 1850 + 1387.50 = 3237.50

✔ Answer: $3,237.50

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

→ 21% = 0.21
→ Selling Price = 100 × (1 - 0.21) = 100 × 0.79 = 79.00

✔ Answer: $79.00

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

→ 45% = 0.45
→ Selling Price = 18.50 × (1 - 0.45) = 18.50 × 0.55

Calculation:
18.50 × 0.55 =
= (18 × 0.55) + (0.50 × 0.55) = 9.90 + 0.275 = 10.175 → $10.18

✔ Answer: $10.18

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

→ 13% = 0.13
→ Selling Price = 99.99 × (1 - 0.13) = 99.99 × 0.87

Calculation:
99.99 × 0.87
≈ (100 - 0.01) × 0.87 = 87 - 0.0087 = 86.9913 → $86.99

✔ Answer: $86.99

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

→ 5% = 0.05
→ Selling Price = 22.99 × (1 - 0.05) = 22.99 × 0.95

Calculation:
22.99 × 0.95 =
= 22.99 × (1 - 0.05) = 22.99 - (22.99 × 0.05)
22.99 × 0.05 = 1.1495
→ 22.99 - 1.1495 = 21.8405 → $21.84

✔ Answer: $21.84

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## 📝 Final Answers Summary:

| # | Item | Selling Price |
|---|----------------------|---------------|
| 1 | Sled | $194.03 |
| 2 | Comic Book | $4.74 |
| 3 | Oil Change | $30.60 |
| 4 | CD | $18.85 |
| 5 | MP3 Player | $207.20 |
| 6 | Oil Change | $36.22 |
| 7 | Pen | $1.52 |
| 8 | Computer | $3,237.50 |
| 9 | Concert Tickets | $79.00 |
|10 | Book | $10.18 |
|11 | Telescope | $86.99 |
|12 | CD | $21.84 |

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✔ All problems solved!
Let me know if you’d like to see the work written out differently or need help with tax problems too!