Ratio & ProportionDiagram

Worked Examples

Part of Percentage IncreaseGCSE Mathematics

This diagram covers Worked Examples within Percentage Increase for GCSE Mathematics. Revise Percentage Increase in Ratio & Proportion for GCSE Mathematics with 12 exam-style questions and 22 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. 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: Pay Rise

Problem: Sarah earns £24,000 and gets a 15% pay rise. What's her new salary?

Step 1: Identify the increase = 15%

Step 2: Convert to decimal = 15 ÷ 100 = 0.15

Step 3: Find multiplier = 1 + 0.15 = 1.15

Step 4: New salary = £24,000 × 1.15 = £27,600

Example 2: Price Increase

Problem: A laptop costs £800. The price increases by 12%. What's the new price?

Step 1: Increase = 12%

Step 2: Decimal = 0.12

Step 3: Multiplier = 1 + 0.12 = 1.12

Step 4: New price = £800 × 1.12 = £896

Example 3: Population Growth

Problem: A town has 45,000 residents. Population grows by 8% in one year. How many residents now?

Step 1: Growth = 8%

Step 2: Decimal = 0.08

Step 3: Multiplier = 1 + 0.08 = 1.08

Step 4: New population = 45,000 × 1.08 = 48,600

Keep building this topic

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

Practice Questions for Percentage Increase

What multiplier is used to increase a value by 15%?

  • A. 0.85
  • B. 0.15
  • C. 1.15
  • D. 1.85
1 markfoundation

Ahmed says: 'To increase a price by 30%, I first find 30% of the price and then add it on. This always takes two steps.' Explain how Ahmed could use the multiplier method to find the answer in ONE step.

2 markshigher

Quick Recall Flashcards

What is the multiplier for a 10% increase?
1.10 (because 1 + 0.10 = 1.10)
What is a percentage increase?
Finding a new amount after adding a percentage to the original amount

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