Math worksheet for calculating discounts on eyewear items.
A math worksheet titled "Calculating Discounts" from Remedia Publications, featuring eight pairs of glasses and sunglasses with prices, asking students to calculate the discount amount and sale price at 26% off.
JPG
550×550
72.6 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #421357
⭐
Show Answer Key & Explanations
Step-by-step solution for: Consumer Percents Set: Discounts - Sales Tax - Tips - Word Problems
▼
Show Answer Key & Explanations
Step-by-step solution for: Consumer Percents Set: Discounts - Sales Tax - Tips - Word Problems
To find the discount amount and sale price for each item, we follow these steps:
1. Discount Amount = Regular Price × Discount Percent (as a decimal)
→ 25% off means multiply by 0.25
2. Sale Price = Regular Price – Discount Amount
→ Or you can do: Regular Price × 0.75 (since 100% - 25% = 75%)
We’ll calculate each one carefully.
---
Item 1: $91.00
- Discount Amount = 91.00 × 0.25 = $22.75
- Sale Price = 91.00 – 22.75 = $68.25
✔ Check: 91 × 0.75 = 68.25 → Correct
---
Item 2: $65.50
- Discount Amount = 65.50 × 0.25 = $16.375 → Round to nearest cent = $16.38
- Sale Price = 65.50 – 16.38 = $49.12
✔ Check: 65.50 × 0.75 = 49.125 → rounds to $49.13? Wait — let’s recalculate:
Actually, better to use exact rounding rule:
65.50 × 0.25 = 16.375 → round up to $16.38
Then 65.50 – 16.38 = $49.12
But if we do 65.50 × 0.75 = 49.125 → which should round to $49.13
️ Conflict! Let’s resolve this properly.
Standard practice: Calculate discount amount first, round it to nearest cent, then subtract from original price.
So:
- 65.50 × 0.25 = 16.375 → rounds to $16.38
- 65.50 – 16.38 = $49.12
BUT — some systems prefer to compute sale price directly as 75% of original, then round that.
Let’s check both ways:
Way 1 (discount rounded first):
Discount = $16.38 → Sale = $49.12
Way 2 (sale price calculated directly):
65.50 × 0.75 = 49.125 → rounds to $49.13
Which is correct?
In real-world retail, they usually calculate the discount amount, round it, then subtract. But sometimes they calculate final price directly.
Looking at the example in the worksheet:
> $24.99 × 17% = $4.2483 → round to $4.25 → then $24.99 – $4.25 = $20.74
So they round the discount amount FIRST, then subtract.
Therefore, we follow that method.
So for Item 2:
- Discount Amount = 65.50 × 0.25 = 16.375 → $16.38
- Sale Price = 65.50 – 16.38 = $49.12
Wait — but 65.50 – 16.38 is actually 49.12? Let me compute:
65.50
–16.38
= 49.12 → yes.
But 65.50 × 0.75 = 49.125 → which would be $49.13 if rounded.
This is a known issue with rounding intermediate steps.
However, since the example shows rounding the discount amount first, we will stick with that.
So:
→ Discount Amount: $16.38
→ Sale Price: $49.12
But let’s verify with calculator:
65.50 * 0.25 = 16.375 → round to 16.38
65.50 - 16.38 = 49.12 → correct.
Okay, proceed.
---
Item 3: $129.95
- Discount Amount = 129.95 × 0.25 = 32.4875 → round to $32.49
- Sale Price = 129.95 – 32.49 = $97.46
Check: 129.95 × 0.75 = 97.4625 → rounds to $97.46 → matches.
Good.
---
Item 4: $58.45
- Discount Amount = 58.45 × 0.25 = 14.6125 → round to $14.61
- Sale Price = 58.45 – 14.61 = $43.84
Check: 58.45 × 0.75 = 43.8375 → rounds to $43.84 → good.
---
Item 5: $105.60
- Discount Amount = 105.60 × 0.25 = 26.40 → exactly $26.40
- Sale Price = 105.60 – 26.40 = $79.20
Perfect.
---
Item 6: $189.99
- Discount Amount = 189.99 × 0.25 = 47.4975 → round to $47.50
- Sale Price = 189.99 – 47.50 = $142.49
Check: 189.99 × 0.75 = 142.4925 → rounds to $142.49 → good.
---
Item 7: $104.00
- Discount Amount = 104.00 × 0.25 = $26.00
- Sale Price = 104.00 – 26.00 = $78.00
Easy.
---
Item 8: $139.95
- Discount Amount = 139.95 × 0.25 = 34.9875 → round to $34.99
- Sale Price = 139.95 – 34.99 = $104.96
Check: 139.95 × 0.75 = 104.9625 → rounds to $104.96 → perfect.
---
Now compile all answers:
1. Discount: $22.75 | Sale: $68.25
2. Discount: $16.38 | Sale: $49.12
3. Discount: $32.49 | Sale: $97.46
4. Discount: $14.61 | Sale: $43.84
5. Discount: $26.40 | Sale: $79.20
6. Discount: $47.50 | Sale: $142.49
7. Discount: $26.00 | Sale: $78.00
8. Discount: $34.99 | Sale: $104.96
All calculations verified using the method shown in the example (round discount amount first, then subtract).
Final Answer:
1. Discount Amount: $22.75, Sale Price: $68.25
2. Discount Amount: $16.38, Sale Price: $49.12
3. Discount Amount: $32.49, Sale Price: $97.46
4. Discount Amount: $14.61, Sale Price: $43.84
5. Discount Amount: $26.40, Sale Price: $79.20
6. Discount Amount: $47.50, Sale Price: $142.49
7. Discount Amount: $26.00, Sale Price: $78.00
8. Discount Amount: $34.99, Sale Price: $104.96
1. Discount Amount = Regular Price × Discount Percent (as a decimal)
→ 25% off means multiply by 0.25
2. Sale Price = Regular Price – Discount Amount
→ Or you can do: Regular Price × 0.75 (since 100% - 25% = 75%)
We’ll calculate each one carefully.
---
Item 1: $91.00
- Discount Amount = 91.00 × 0.25 = $22.75
- Sale Price = 91.00 – 22.75 = $68.25
✔ Check: 91 × 0.75 = 68.25 → Correct
---
Item 2: $65.50
- Discount Amount = 65.50 × 0.25 = $16.375 → Round to nearest cent = $16.38
- Sale Price = 65.50 – 16.38 = $49.12
✔ Check: 65.50 × 0.75 = 49.125 → rounds to $49.13? Wait — let’s recalculate:
Actually, better to use exact rounding rule:
65.50 × 0.25 = 16.375 → round up to $16.38
Then 65.50 – 16.38 = $49.12
But if we do 65.50 × 0.75 = 49.125 → which should round to $49.13
️ Conflict! Let’s resolve this properly.
Standard practice: Calculate discount amount first, round it to nearest cent, then subtract from original price.
So:
- 65.50 × 0.25 = 16.375 → rounds to $16.38
- 65.50 – 16.38 = $49.12
BUT — some systems prefer to compute sale price directly as 75% of original, then round that.
Let’s check both ways:
Way 1 (discount rounded first):
Discount = $16.38 → Sale = $49.12
Way 2 (sale price calculated directly):
65.50 × 0.75 = 49.125 → rounds to $49.13
Which is correct?
In real-world retail, they usually calculate the discount amount, round it, then subtract. But sometimes they calculate final price directly.
Looking at the example in the worksheet:
> $24.99 × 17% = $4.2483 → round to $4.25 → then $24.99 – $4.25 = $20.74
So they round the discount amount FIRST, then subtract.
Therefore, we follow that method.
So for Item 2:
- Discount Amount = 65.50 × 0.25 = 16.375 → $16.38
- Sale Price = 65.50 – 16.38 = $49.12
Wait — but 65.50 – 16.38 is actually 49.12? Let me compute:
65.50
–16.38
= 49.12 → yes.
But 65.50 × 0.75 = 49.125 → which would be $49.13 if rounded.
This is a known issue with rounding intermediate steps.
However, since the example shows rounding the discount amount first, we will stick with that.
So:
→ Discount Amount: $16.38
→ Sale Price: $49.12
But let’s verify with calculator:
65.50 * 0.25 = 16.375 → round to 16.38
65.50 - 16.38 = 49.12 → correct.
Okay, proceed.
---
Item 3: $129.95
- Discount Amount = 129.95 × 0.25 = 32.4875 → round to $32.49
- Sale Price = 129.95 – 32.49 = $97.46
Check: 129.95 × 0.75 = 97.4625 → rounds to $97.46 → matches.
Good.
---
Item 4: $58.45
- Discount Amount = 58.45 × 0.25 = 14.6125 → round to $14.61
- Sale Price = 58.45 – 14.61 = $43.84
Check: 58.45 × 0.75 = 43.8375 → rounds to $43.84 → good.
---
Item 5: $105.60
- Discount Amount = 105.60 × 0.25 = 26.40 → exactly $26.40
- Sale Price = 105.60 – 26.40 = $79.20
Perfect.
---
Item 6: $189.99
- Discount Amount = 189.99 × 0.25 = 47.4975 → round to $47.50
- Sale Price = 189.99 – 47.50 = $142.49
Check: 189.99 × 0.75 = 142.4925 → rounds to $142.49 → good.
---
Item 7: $104.00
- Discount Amount = 104.00 × 0.25 = $26.00
- Sale Price = 104.00 – 26.00 = $78.00
Easy.
---
Item 8: $139.95
- Discount Amount = 139.95 × 0.25 = 34.9875 → round to $34.99
- Sale Price = 139.95 – 34.99 = $104.96
Check: 139.95 × 0.75 = 104.9625 → rounds to $104.96 → perfect.
---
Now compile all answers:
1. Discount: $22.75 | Sale: $68.25
2. Discount: $16.38 | Sale: $49.12
3. Discount: $32.49 | Sale: $97.46
4. Discount: $14.61 | Sale: $43.84
5. Discount: $26.40 | Sale: $79.20
6. Discount: $47.50 | Sale: $142.49
7. Discount: $26.00 | Sale: $78.00
8. Discount: $34.99 | Sale: $104.96
All calculations verified using the method shown in the example (round discount amount first, then subtract).
Final Answer:
1. Discount Amount: $22.75, Sale Price: $68.25
2. Discount Amount: $16.38, Sale Price: $49.12
3. Discount Amount: $32.49, Sale Price: $97.46
4. Discount Amount: $14.61, Sale Price: $43.84
5. Discount Amount: $26.40, Sale Price: $79.20
6. Discount Amount: $47.50, Sale Price: $142.49
7. Discount Amount: $26.00, Sale Price: $78.00
8. Discount Amount: $34.99, Sale Price: $104.96
Parent Tip: Review the logic above to help your child master the concept of tax tip and discount word problems worksheet.
