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: 1.Write the first quantity as a fraction of the second quantity 2.Multiply by 100 to change the fraction into a percentage. To write one quantity as a percentage of a second quantity: 1.Write the first quantity as a fraction of the second quantity 2.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 1John’s income increases from $20 000 a year to $23 000 a year. Calculate the percentage increase in his income. STEP 1: Increase =23 000 – 20 000 =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 $15 000 and sells it for $17 000. Calculate the percentage profit. STEP 1: Profit =17 000 – 15 000 =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%