NumberStudy Notes

Worked Example 4: Reverse Percentage

Part of Percentages — GCSE Mathematics

This study notes covers Worked Example 4: Reverse Percentage within Percentages for GCSE Mathematics. Revise Percentages in Number for GCSE Mathematics with 14 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 11 of 15 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 11 of 15

Practice

14 questions

Recall

22 flashcards

Worked Example 4: Reverse Percentage

After a 20% discount, a jacket costs £64. What was the original price?

Solution

After 20% off, price is 80% of original

80% of original = £64

1% of original = 64 ÷ 80 = 0.8

100% of original = 0.8 × 100 = £80

Check: £80 × 0.8 = £64 ✓

Keep building this topic

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

Worked Example 3: Percentage Increase Higher Level: Compound Percentages Parts per Hundred What Are Percentages?

Practice Questions for Percentages

Which calculation correctly finds 35% of £240 using the decimal method?

A. 240 ÷ 35
B. 240 × 3.5
C. 240 × 0.35
D. 35 ÷ 240

1 markfoundation

Which formula correctly expresses one quantity as a percentage of another?

A. (part ÷ whole) × 100
B. (whole ÷ part) × 100
C. (part × whole) ÷ 100
D. (whole − part) × 100

1 markfoundation

Quick Recall Flashcards

What is a percentage?

Parts per hundred Percent = per cent = per 100 % symbol means 'out of 100' 50% = 50/100 = half

Percentage to decimal

Divide by 100 75% = 0.75 8% = 0.08 150% = 1.5 Move decimal point 2 places left

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Worked Example 3: Percentage Increase

Higher Level: Compound Percentages