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Percentage Comparison Problems
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Percentage Comparison Problems
📊 Part 1: Multiple Choice Comparisons
1. A laptop price increased from $800 to $920. A phone price increased from $400 to $460. Which had the greater percentage increase?
Laptop (15%)
Phone (15%)
They are equal
Cannot determine
2. Shop A offers 25% off a $120 jacket. Shop B offers 30% off a $100 jacket. Which shop offers the better dollar discount?
Shop A ($30 off)
Shop B ($30 off)
They are equal
Shop B ($35 off)
3. A school's enrolment decreased from 500 to 450 students. What was the percentage decrease?
9%
10%
11%
50%
4. Which represents the greatest percentage increase?
From 20 to 25
From 40 to 48
From 80 to 92
From 100 to 120
✏️ Part 2: Problem Solving
5. Two rugby teams compared their win rates. Team A won 18 out of 24 games. Team B won 15 out of 20 games. Which team has the better win percentage? Show your working.
6. A car's value decreased from $25,000 to $20,000 in one year. A motorbike's value decreased from $8,000 to $6,000 in the same period. Which vehicle had the greater percentage decrease? Explain your reasoning.
7. If 35% of a number is 140, what is the original number? Show your method clearly.
🎯 Part 3: Real-World Applications
8. Three shops are having sales:
Shop X: 20% off all items (original prices: $50, $80, $120)
Shop Y: Buy one, get 30% off the second item
Shop Z: $15 off purchases over $75
Compare the savings for buying a $80 item from each shop. Which offers the best deal?
9. Explain in your own words: What is the difference between finding a percentage increase and comparing two percentages? Give an example of each.
10. Create your own percentage comparison problem involving two different situations. Then solve it and explain which is better and why.
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