This diagram covers Worked Examples within Reverse Percentages for GCSE Mathematics. Revise Reverse Percentages in Ratio & Proportion for GCSE Mathematics with 12 exam-style questions and 22 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 4 of 5 in this topic. Focus on the labels, the relationships between parts, and the explanation that turns the diagram into an exam-ready answer.
Topic position
Section 4 of 5
Practice
12 questions
Recall
22 flashcards
🎯 Worked Examples
Example 1: Sale Price (Decrease)
Problem: Jake pays £72 for a jacket with 20% off. What was the original price?
Step 1: £72 is the price after 20% off
Step 2: So £72 represents 80% of the original (100% - 20%)
Step 3: Multiplier = 0.80
Step 4: Original price = £72 ÷ 0.80 = £90
Check: £90 × 0.80 = £72 ✓
Example 2: After VAT (Increase)
Problem: The total cost including 20% VAT is £96. What was the price before VAT?
Step 1: £96 is the price after 20% VAT was added
Step 2: So £96 represents 120% of the pre-VAT price (100% + 20%)
Step 3: Multiplier = 1.20
Step 4: Pre-VAT price = £96 ÷ 1.20 = £80
Check: £80 × 1.20 = £96 ✓
Example 3: After Growth (Increase)
Problem: A population is now 5,400 after growing by 8%. What was the original population?
Step 1: 5,400 is the population after 8% growth
Step 2: So 5,400 represents 108% of the original (100% + 8%)
Step 3: Multiplier = 1.08
Step 4: Original population = 5,400 ÷ 1.08 = 5,000
Check: 5,000 × 1.08 = 5,400 ✓