Percentages

Find a percentage of a quantity, express one quantity as a percentage of another, and solve percentage increase and decrease problems including finding the original amount.

Worked examples

Finding a percentage of a quantity

Straightforward

Problem

Find

30\%

90

Expressing one quantity as a percentage of another

Moderate

Problem

Express

14

as a percentage of

40

Finding the original amount after a percentage increase

Challenging

Problem

After a

15\%

increase, an item costs

\$92

. Find the original price.

Practise

Q1·Straightforward

Find

20\%

80

Q2·Straightforward

Find

15\%

60

Q3·Straightforward

Find

25\%

120

Q4·Straightforward

Find

10\%

350

Q5·Moderate

Express

20

as a percentage of

50

. Give your answer as a number (e.g. write

40

for

40\%

Q6·Moderate

Express

12

as a percentage of

80

. Give your answer as a number (e.g. write

15

for

15\%

Q7·Moderate

Express

14

as a percentage of

40

. Give your answer as a number (e.g. write

35

for

35\%

Q8·Moderate

Express

6

as a percentage of

25

. Give your answer as a number (e.g. write

24

for

24\%

Q9·Challenging

A jacket costs

\$60

. Its price increases by

10\%

. What is the new price in dollars?

Q10·Challenging

A television originally costs

\$150

. It is discounted by

20\%

. What is the sale price in dollars?

Q11·Challenging

After a

25\%

increase, an item costs

\$75

. What was the original price in dollars?

Q12·Challenging

After a

10\%

decrease, a value is

90

. What was the original value?