Ratio & ProportionDeep Dive
The Multiplier Method Explained
Part of Percentage Increase — GCSE Mathematics
This deep dive covers The Multiplier Method Explained 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 3 of 5 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 3 of 5
Practice
12 questions
Recall
22 flashcards
📊 The Multiplier Method Explained
Step-by-Step Process
- Identify the percentage increase
- Convert to decimal: percentage ÷ 100
- Add to 1: 1 + decimal = multiplier
- Multiply original by multiplier
Why Add 1?
When we increase by 15%, we want:
- Original amount (100%) + Extra amount (15%) = 115%
- 115% = 1.15 as a decimal
- So multiplier = 1 + 0.15 = 1.15
Common Multipliers
| Increase | Multiplier | Calculation |
|---|---|---|
| 5% | 1.05 | 1 + 0.05 |
| 10% | 1.10 | 1 + 0.10 |
| 15% | 1.15 | 1 + 0.15 |
| 20% | 1.20 | 1 + 0.20 |
| 25% | 1.25 | 1 + 0.25 |
| 50% | 1.50 | 1 + 0.50 |