1. PERCENTAGES 2

2. Expressing one quantity as a percentage of a second quantity
To write one quantity as a percentage of a second quantity:
Write the first quantity as a fraction of the second quantity
Multiply by 100 to change the fraction into a percentage.
1 Write 42 as a percentage of 75.
STEP 1:
STEP 2:
2 There are 30 students in a class. Six of the students are left-handed.
What percentage of the students are left-handed?
STEP 1:
STEP 2:

3. Percentage increase and percentage decrease
John’s income increases from $ a year to $ a year.
Calculate the percentage increase in his income.
STEP 1:
Increase =
– =
3000
STEP 2:
= 15%

4. 2 The population of a village decreases from 785 to 634.
Calculate the percentage decrease in the population.
STEP 1:
Decrease =
785 – 634 =
151
STEP 2:
= 19.2%

5. Percentage profit and loss
1 A car salesman buys a car for $ and sells it for $
Calculate the percentage profit.
STEP 1:
Profit =
– =
2000
STEP 2:
= 13.3%

6. 2 Cara buys a bike for $250 and then sells it one year later for $180.
Calculate the percentage loss.
STEP 1:
Loss =
250 – 180 = 70
STEP 2:
= 28%