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Finding Original Amounts

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Finding Original Amounts

Calculator and percentage symbols

📊 Part 1: Understanding the Concept

1. Sarah received a 15% discount on a jacket and paid $85. What was the original price?

$97.75

$100.00

$73.25

$98.25

2. If 25% of a number is 60, what is the original number?

15

240

45

75

3. A church fundraiser collected $420, which was 70% of their target. What was their target amount?

$294

$600

$546

$490

✏️ Part 2: Show Your Working

4. After a 20% price increase, a laptop costs $960. What was the original price before the increase?
5. Tom spent $45 on books, which was 30% of his weekly allowance. How much is his weekly allowance?
6. A school's enrolment decreased by 8% to 460 students. What was the original enrolment?

🎯 Part 3: Real-World Applications

7. A youth group raised money for charity. After giving away 65% of what they raised, they had $140 left. How much did they raise originally?
8. Complete the method for finding original amounts:

If ____% of the original amount equals the known value, then:

Original amount = Known value ÷ (______ ÷ 100)

9. Explain in your own words when you would need to find an original amount in real life:

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