Lesson 10.2: Discounts, Savings, and Multi-Pack Deals
Applied concepts and practical problem solving for Discounts, Savings, and Multi-Pack Deals.
⏱️ Reading Time: 20 mins
• ❓ 50 Interactive Practice Questions
🌟
Real-Life Story: Money and Everyday Calculations
Farmers Market: Comparing bulk basket prices vs single vegetable units.
💡 Core Mathematical Concepts: Discounts, Savings, and Multi-Pack Deals
Focus areas: Comparing multi-packs to determine best value per unit..
| Concept / Term | Mathematical Meaning | Real-Life Application |
|---|---|---|
| Discount | A reduction applied to the regular shelf price | $5 off a $30 coat |
| Unit Rate Comparison | Price ÷ Quantity to find cost per single item | $6 for 3 cans ($2/can) vs $5 for 2 cans ($2.50/can) |
| Sale Savings | Original Price - Sale Price = Amount saved | Tracking shopping budget |
📝 Step-by-Step Worked Examples
Worked Example 1: Compare values
Brand A: 4 notebooks for $8 ($2/ea); Brand B: 6 notebooks for $15 ($2.50/ea) -> Brand A is better value.
Worked Example 2: Apply discount
Item marked $45 with $8 discount -> Sale price = $37.
⚠️ Common Misconceptions to Avoid
Common Misconception: Assuming bigger pack is always cheaper
Correction: Always divide to calculate the per-unit price before deciding.
Common Misconception: Subtracting discount from wrong item
Correction: Apply discounts only to eligible qualifying items.
🎯
Self-Check Challenge
A box of 6 fruit juice bottles costs $9.00. Buying individual bottles costs $1.80 each. How much money do you save per bottle by buying the box?
Answer & Explanation:
Box unit price = $9.00 ÷ 6 = $1.50 per bottle. Savings = $1.80 - $1.50 = $0.30 per bottle.
🎯 Key Learning Takeaways
Extend understanding of Discounts, Savings, and Multi-Pack Deals.
Solve multi-step real-world problems systematically.
Verify solutions through mathematical reasoning.
📄 Printable Worksheets (5 Available)
Download ready-to-print PDFs for offline student practice with separate parent/teacher answer keys.
G5-M-CH10-WS05
A4 • 15 Qs
Money and Everyday Calculations: Worksheet 5
Practice Assessment 5 • Central Botanical Gardens Context
G5-M-CH10-WS04
A4 • 15 Qs
Money and Everyday Calculations: Worksheet 4
Practice Assessment 4 • Eco-Friendly Solar Park Context
G5-M-CH10-WS03
A4 • 15 Qs
Money and Everyday Calculations: Worksheet 3
Practice Assessment 3 • Harbor Marine Terminal Context
G5-M-CH10-WS02
A4 • 15 Qs
Money and Everyday Calculations: Worksheet 2
Practice Assessment 2 • Science & Discovery Museum Context
G5-M-CH10-WS01
A4 • 15 Qs
Money and Everyday Calculations: Worksheet 1
Practice Assessment 1 • City Regional Airport Context
✍️ Lesson Practice Questions (50 Questions)
Solve these real-world challenges online, test your understanding, and reveal instant step-by-step explanations.
1
Short Answer
Hard
2 Marks
Liam has $50. He buys 2 books at $14.50 each and 3 notebooks at $4.20 each. How much money does Liam have left?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$8.40
Step-by-Step Explanation:
Books: 2 × $14.50 = $29.00. Notebooks: 3 × $4.20 = $12.60. Total spent = $41.60. Remaining = $50.00 - $41.60 = $8.40.
2
Short Answer
Hard
2 Marks
A school club sells lemonade. Lemons and sugar cost $18. Cups cost $6. If they sell 80 cups of lemonade for $0.75 each, how much net profit did the club generate?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$36
Step-by-Step Explanation:
Total expenses = $18 + $6 = $24. Total sales = 80 × $0.75 = $60. Net profit = $60 - $24 = $36.
3
Short Answer
Hard
2 Marks
If Store A offers 'Buy 2 Get 1 Free' on $6 items and Store B offers 30% off each $6 item, which store offers a better deal for 3 items?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Store A is cheaper. Store A charges 2 × $6 = $12 for 3 items ($4 each). Store B charges 3 × ($6 - $1.80) = 3 × $4.20 = $12.60.
Step-by-Step Explanation:
Store A costs $12.00 vs Store B costs $12.60. Store A saves $0.60.
4
Short Answer
Hard
2 Marks
Explain why unit pricing (cost per single item or per 100g) helps smart consumers make better shopping decisions.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Unit pricing standardizes comparisons across packages of different sizes, allowing consumers to determine which brand offers the lowest true cost per quantity.
Step-by-Step Explanation:
Standardized unit costs eliminate deceptive packaging size variations.
5
Short Answer
Medium
1 Mark
A merchant says: 'If Cost Price is $80 and Selling Price is $70, I made a profit of $10.' Correct the merchant's statement.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
It is a loss of $10
Step-by-Step Explanation:
When Selling Price is less than Cost Price, it is a financial loss, not a profit. Loss = $80 - $70 = $10.
6
Short Answer
Medium
1 Mark
A cashier subtracts $45.85 from $50.00 and calculates the change as $5.85. What is the cashier's error and what is the correct change?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$4.15
Step-by-Step Explanation:
The cashier subtracted without regrouping the cents from the dollar. $50.00 - $45.85 = $4.15.
7
Fill in the Blanks
Medium
1 Mark
Complete the receipt balance: Total = $50.00, Paid = $[ ? ], Change = $12.50.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
62.50
Step-by-Step Explanation:
$50.00 + $12.50 = $62.50.
8
Fill in the Blanks
Medium
1 Mark
Find the missing item price: 5 notebooks + $8 bag = $28 total. Price of 1 notebook = $[ ? ].
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4
Step-by-Step Explanation:
$28 - $8 = $20 for 5 notebooks. 1 notebook = $20 ÷ 5 = $4.
9
Short Answer
Medium
1 Mark
A bicycle costs $180. A customer pays a deposit of $45 and pays the remaining balance in 3 equal monthly installments. What is each installment?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$45
Step-by-Step Explanation:
Remaining balance = $180 - $45 = $135. Each installment = $135 ÷ 3 = $45.
10
Short Answer
Medium
1 Mark
A baker makes 50 cupcakes at a cost of $0.80 each. If all 50 cupcakes are sold for $2.00 each, what is the baker's total profit?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$60
Step-by-Step Explanation:
Total cost = 50 × $0.80 = $40. Total revenue = 50 × $2.00 = $100. Profit = $100 - $40 = $60.
11
Short Answer
Medium
1 Mark
At the Central Botanical Gardens gift store, Maya buys 3 framed posters for $54 and a commemorative book for $24. She pays with a $100 note. How much change does she receive?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$22
Step-by-Step Explanation:
Total cost = $78 = $78. Change = $100 - $78 = $22.
12
Multiple Choice
Easy
1 Mark
Find the total cost of 4 notebooks at $3.50 each and 2 pens at $1.25 each.
A
$16.50
B
$15.50
C
$17.00
D
$14.75
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$16.50
Step-by-Step Explanation:
(4 × $3.50 = $14.00) + (2 × $1.25 = $2.50) = $16.50.
13
Multiple Choice
Easy
1 Mark
A shopkeeper buys an item for $45 and sells it for $60. What is the profit?
A
$15
B
$25
C
$105
D
$10
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$15
Step-by-Step Explanation:
Profit = Selling Price - Cost Price = $60 - $45 = $15.
14
Multiple Choice
Easy
1 Mark
A customer pays for a $63.40 grocery bill with a $100 bill. How much change should the customer receive?
A
$36.60
B
$37.60
C
$36.40
D
$46.60
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$36.60
Step-by-Step Explanation:
$100.00 - $63.40 = $36.60.
15
Multiple Choice
Easy
1 Mark
If a science kit costs $40 at the bookstore, what is the cost of 9 kits?
A
$360
B
$350
C
$375
D
$355
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$360
Step-by-Step Explanation:
Cost = Price × Quantity = $40 × 9 = $360.
16
Short Answer
Hard
2 Marks
Liam has $50. He buys 2 books at $14.50 each and 3 notebooks at $4.20 each. How much money does Liam have left?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$8.40
Step-by-Step Explanation:
Books: 2 × $14.50 = $29.00. Notebooks: 3 × $4.20 = $12.60. Total spent = $41.60. Remaining = $50.00 - $41.60 = $8.40.
17
Short Answer
Hard
2 Marks
A school club sells lemonade. Lemons and sugar cost $18. Cups cost $6. If they sell 80 cups of lemonade for $0.75 each, how much net profit did the club generate?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$36
Step-by-Step Explanation:
Total expenses = $18 + $6 = $24. Total sales = 80 × $0.75 = $60. Net profit = $60 - $24 = $36.
18
Short Answer
Hard
2 Marks
If Store A offers 'Buy 2 Get 1 Free' on $6 items and Store B offers 30% off each $6 item, which store offers a better deal for 3 items?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Store A is cheaper. Store A charges 2 × $6 = $12 for 3 items ($4 each). Store B charges 3 × ($6 - $1.80) = 3 × $4.20 = $12.60.
Step-by-Step Explanation:
Store A costs $12.00 vs Store B costs $12.60. Store A saves $0.60.
19
Short Answer
Hard
2 Marks
Explain why unit pricing (cost per single item or per 100g) helps smart consumers make better shopping decisions.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Unit pricing standardizes comparisons across packages of different sizes, allowing consumers to determine which brand offers the lowest true cost per quantity.
Step-by-Step Explanation:
Standardized unit costs eliminate deceptive packaging size variations.
20
Short Answer
Medium
1 Mark
A merchant says: 'If Cost Price is $80 and Selling Price is $70, I made a profit of $10.' Correct the merchant's statement.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
It is a loss of $10
Step-by-Step Explanation:
When Selling Price is less than Cost Price, it is a financial loss, not a profit. Loss = $80 - $70 = $10.
21
Short Answer
Medium
1 Mark
A cashier subtracts $45.85 from $50.00 and calculates the change as $5.85. What is the cashier's error and what is the correct change?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$4.15
Step-by-Step Explanation:
The cashier subtracted without regrouping the cents from the dollar. $50.00 - $45.85 = $4.15.
22
Fill in the Blanks
Medium
1 Mark
Complete the receipt balance: Total = $50.00, Paid = $[ ? ], Change = $12.50.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
62.50
Step-by-Step Explanation:
$50.00 + $12.50 = $62.50.
23
Fill in the Blanks
Medium
1 Mark
Find the missing item price: 5 notebooks + $8 bag = $28 total. Price of 1 notebook = $[ ? ].
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4
Step-by-Step Explanation:
$28 - $8 = $20 for 5 notebooks. 1 notebook = $20 ÷ 5 = $4.
24
Short Answer
Medium
1 Mark
A bicycle costs $180. A customer pays a deposit of $45 and pays the remaining balance in 3 equal monthly installments. What is each installment?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$45
Step-by-Step Explanation:
Remaining balance = $180 - $45 = $135. Each installment = $135 ÷ 3 = $45.
25
Short Answer
Medium
1 Mark
A baker makes 50 cupcakes at a cost of $0.80 each. If all 50 cupcakes are sold for $2.00 each, what is the baker's total profit?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$60
Step-by-Step Explanation:
Total cost = 50 × $0.80 = $40. Total revenue = 50 × $2.00 = $100. Profit = $100 - $40 = $60.
26
Short Answer
Medium
1 Mark
At the Eco-Friendly Solar Park gift store, Maya buys 3 framed posters for $54 and a commemorative book for $24. She pays with a $100 note. How much change does she receive?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$22
Step-by-Step Explanation:
Total cost = $78 = $78. Change = $100 - $78 = $22.
27
Multiple Choice
Easy
1 Mark
Find the total cost of 4 notebooks at $3.50 each and 2 pens at $1.25 each.
A
$16.50
B
$15.50
C
$17.00
D
$14.75
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$16.50
Step-by-Step Explanation:
(4 × $3.50 = $14.00) + (2 × $1.25 = $2.50) = $16.50.
28
Multiple Choice
Easy
1 Mark
A shopkeeper buys an item for $45 and sells it for $60. What is the profit?
A
$15
B
$25
C
$105
D
$10
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$15
Step-by-Step Explanation:
Profit = Selling Price - Cost Price = $60 - $45 = $15.
29
Multiple Choice
Easy
1 Mark
A customer pays for a $63.40 grocery bill with a $100 bill. How much change should the customer receive?
A
$36.60
B
$37.60
C
$36.40
D
$46.60
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$36.60
Step-by-Step Explanation:
$100.00 - $63.40 = $36.60.
30
Multiple Choice
Easy
1 Mark
If a science kit costs $35 at the bookstore, what is the cost of 8 kits?
A
$280
B
$270
C
$295
D
$275
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$280
Step-by-Step Explanation:
Cost = Price × Quantity = $35 × 8 = $280.
31
Short Answer
Hard
2 Marks
Liam has $50. He buys 2 books at $14.50 each and 3 notebooks at $4.20 each. How much money does Liam have left?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$8.40
Step-by-Step Explanation:
Books: 2 × $14.50 = $29.00. Notebooks: 3 × $4.20 = $12.60. Total spent = $41.60. Remaining = $50.00 - $41.60 = $8.40.
32
Short Answer
Hard
2 Marks
A school club sells lemonade. Lemons and sugar cost $18. Cups cost $6. If they sell 80 cups of lemonade for $0.75 each, how much net profit did the club generate?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$36
Step-by-Step Explanation:
Total expenses = $18 + $6 = $24. Total sales = 80 × $0.75 = $60. Net profit = $60 - $24 = $36.
33
Short Answer
Hard
2 Marks
If Store A offers 'Buy 2 Get 1 Free' on $6 items and Store B offers 30% off each $6 item, which store offers a better deal for 3 items?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Store A is cheaper. Store A charges 2 × $6 = $12 for 3 items ($4 each). Store B charges 3 × ($6 - $1.80) = 3 × $4.20 = $12.60.
Step-by-Step Explanation:
Store A costs $12.00 vs Store B costs $12.60. Store A saves $0.60.
34
Short Answer
Hard
2 Marks
Explain why unit pricing (cost per single item or per 100g) helps smart consumers make better shopping decisions.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Unit pricing standardizes comparisons across packages of different sizes, allowing consumers to determine which brand offers the lowest true cost per quantity.
Step-by-Step Explanation:
Standardized unit costs eliminate deceptive packaging size variations.
35
Short Answer
Medium
1 Mark
A merchant says: 'If Cost Price is $80 and Selling Price is $70, I made a profit of $10.' Correct the merchant's statement.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
It is a loss of $10
Step-by-Step Explanation:
When Selling Price is less than Cost Price, it is a financial loss, not a profit. Loss = $80 - $70 = $10.
36
Short Answer
Medium
1 Mark
A cashier subtracts $45.85 from $50.00 and calculates the change as $5.85. What is the cashier's error and what is the correct change?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$4.15
Step-by-Step Explanation:
The cashier subtracted without regrouping the cents from the dollar. $50.00 - $45.85 = $4.15.
37
Fill in the Blanks
Medium
1 Mark
Complete the receipt balance: Total = $50.00, Paid = $[ ? ], Change = $12.50.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
62.50
Step-by-Step Explanation:
$50.00 + $12.50 = $62.50.
38
Fill in the Blanks
Medium
1 Mark
Find the missing item price: 5 notebooks + $8 bag = $28 total. Price of 1 notebook = $[ ? ].
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4
Step-by-Step Explanation:
$28 - $8 = $20 for 5 notebooks. 1 notebook = $20 ÷ 5 = $4.
39
Short Answer
Medium
1 Mark
A bicycle costs $180. A customer pays a deposit of $45 and pays the remaining balance in 3 equal monthly installments. What is each installment?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$45
Step-by-Step Explanation:
Remaining balance = $180 - $45 = $135. Each installment = $135 ÷ 3 = $45.
40
Short Answer
Medium
1 Mark
A baker makes 50 cupcakes at a cost of $0.80 each. If all 50 cupcakes are sold for $2.00 each, what is the baker's total profit?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$60
Step-by-Step Explanation:
Total cost = 50 × $0.80 = $40. Total revenue = 50 × $2.00 = $100. Profit = $100 - $40 = $60.
41
Short Answer
Medium
1 Mark
At the Harbor Marine Terminal gift store, Maya buys 3 framed posters for $54 and a commemorative book for $24. She pays with a $100 note. How much change does she receive?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$22
Step-by-Step Explanation:
Total cost = $78 = $78. Change = $100 - $78 = $22.
42
Multiple Choice
Easy
1 Mark
Find the total cost of 4 notebooks at $3.50 each and 2 pens at $1.25 each.
A
$16.50
B
$15.50
C
$17.00
D
$14.75
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$16.50
Step-by-Step Explanation:
(4 × $3.50 = $14.00) + (2 × $1.25 = $2.50) = $16.50.
43
Multiple Choice
Easy
1 Mark
A shopkeeper buys an item for $45 and sells it for $60. What is the profit?
A
$15
B
$25
C
$105
D
$10
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$15
Step-by-Step Explanation:
Profit = Selling Price - Cost Price = $60 - $45 = $15.
44
Multiple Choice
Easy
1 Mark
A customer pays for a $63.40 grocery bill with a $100 bill. How much change should the customer receive?
A
$36.60
B
$37.60
C
$36.40
D
$46.60
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$36.60
Step-by-Step Explanation:
$100.00 - $63.40 = $36.60.
45
Multiple Choice
Easy
1 Mark
If a science kit costs $30 at the bookstore, what is the cost of 7 kits?
A
$210
B
$200
C
$225
D
$205
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$210
Step-by-Step Explanation:
Cost = Price × Quantity = $30 × 7 = $210.
46
Short Answer
Hard
2 Marks
Liam has $50. He buys 2 books at $14.50 each and 3 notebooks at $4.20 each. How much money does Liam have left?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$8.40
Step-by-Step Explanation:
Books: 2 × $14.50 = $29.00. Notebooks: 3 × $4.20 = $12.60. Total spent = $41.60. Remaining = $50.00 - $41.60 = $8.40.
47
Short Answer
Hard
2 Marks
A school club sells lemonade. Lemons and sugar cost $18. Cups cost $6. If they sell 80 cups of lemonade for $0.75 each, how much net profit did the club generate?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$36
Step-by-Step Explanation:
Total expenses = $18 + $6 = $24. Total sales = 80 × $0.75 = $60. Net profit = $60 - $24 = $36.
48
Short Answer
Hard
2 Marks
If Store A offers 'Buy 2 Get 1 Free' on $6 items and Store B offers 30% off each $6 item, which store offers a better deal for 3 items?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Store A is cheaper. Store A charges 2 × $6 = $12 for 3 items ($4 each). Store B charges 3 × ($6 - $1.80) = 3 × $4.20 = $12.60.
Step-by-Step Explanation:
Store A costs $12.00 vs Store B costs $12.60. Store A saves $0.60.
49
Short Answer
Hard
2 Marks
Explain why unit pricing (cost per single item or per 100g) helps smart consumers make better shopping decisions.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Unit pricing standardizes comparisons across packages of different sizes, allowing consumers to determine which brand offers the lowest true cost per quantity.
Step-by-Step Explanation:
Standardized unit costs eliminate deceptive packaging size variations.
50
Short Answer
Medium
1 Mark
A merchant says: 'If Cost Price is $80 and Selling Price is $70, I made a profit of $10.' Correct the merchant's statement.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
It is a loss of $10
Step-by-Step Explanation:
When Selling Price is less than Cost Price, it is a financial loss, not a profit. Loss = $80 - $70 = $10.