MathBrush
←  All problems

Question P6 Units and parts

Today’s problem — free all day, every step. Every day has one.

A bicycle's price — the percentage increase

A bicycle shop increased the price of a bicycle from $650 to $780. What is the percentage increase?

▶  Watch the solution
Show the answerHide the answer

Answer

The percentage increase is 20%. Check: 20% of $650 is $130, and $650 + $130 = $780, so the new price satisfies the question.

About this method

Units and parts

Cut one amount into equal shares. One number tells you what a share is worth.

In this one. Percentage increase compares the increase with the starting value, so the whole is the original price of $650, not the new price of $780.

In allone share

How to spot it

A single amount is split by a ratio, a fraction or a percentage. One extra number gives you the leftover, the difference, or the value of one share.

Common mistake

Children match the given number to the wrong number of shares, using the whole bar when the number covers only the leftover or the difference between two people's shares.

Practise a similar question

Standard The height of a sunflower increased from 80 cm to 92 cm over a month. What is the percentage increase?
All 16 with this pattern →
Get the free patterns and skills booklet

Patterns and skills booklet

Worked examples of all 33 patterns and skills, in a booklet you can print.