This study notes covers Worked Example 3: Percentage Increase 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 10 of 16 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Worked Example 3: Percentage Increase
A phone costs £450. The price increases by 8%. What is the new price?
Solution
Method: Multiplier
100% + 8% = 108% = 1.08
New price = 450 × 1.08
= £486
Practice questions for Percentages
Which calculation correctly finds 35% of £240 using the decimal method?
Which formula correctly expresses one quantity as a percentage of another?
Quick recall flashcards
Percentage to decimal
Divide by 100
75% = 0.75
8% = 0.08
150% = 1.5
Move decimal point 2 places left
What is a percentage?
Parts per hundred
Percent = per cent = per 100
% symbol means 'out of 100'
50% = 50/100 = half