Ratio & ProportionKey Facts

Key Facts: Reverse Percentages

Part of Reverse PercentagesGCSE Mathematics

This key facts covers Key Facts: Reverse Percentages 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 2 of 5 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 2 of 5

Practice

12 questions

Recall

22 flashcards

🔑 Key Facts: Reverse Percentages

  • Reverse percentage = finding the original amount before a percentage change
  • Key insight = the final amount represents a percentage of the original
  • Method = divide the final amount by the multiplier
  • Formula = Original amount = Final amount ÷ Multiplier
  • Common scenarios: sale prices, after-tax amounts, final values after growth/decline

Keep building this topic

Read this section alongside the surrounding pages in Reverse Percentages. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Reverse Percentages

A price after a 20% increase is £120. Which calculation finds the ORIGINAL price?

  • A. £120 × 1.20
  • B. £120 ÷ 1.20
  • C. £120 × 0.80
  • D. £120 - 20
1 markfoundation

A TV costs £360 after a 10% increase. A student says: 'The original price was £360 - 10% = £360 - £36 = £324.' Explain the error in the student's method. What is the correct original price?

2 marksstandard

Quick Recall Flashcards

What is a reverse percentage?
Finding the original amount before a percentage change was applied
Give three examples of when you'd use reverse percentages
Finding original prices before sales, pre-tax amounts, original values before depreciation

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