Percentages Revision

Jim spent 65% of his savings on a new car. What fraction of his savings did he spend on the car?

• $\frac{13}{20}$

• $\frac{65}{10}$

• $\frac{7}{10}$

• $\frac{1}{13}$

• $\frac{10}{13}$

Answer explanation

$\frac{65}{100}=\frac{13}{20}$

What is 8.62 as a percentage?

• 0.862%

• 8.62%

• 86.2%

• 862%

• 8620%

Answer explanation

Multiply decimal by 100 to get the percentage.

What is 44% of 350 tonnes?

• 1.54 tonnes

• 15.4 tonnes

• 154 tonnes

• 1540 tonnes

• 15400 tonnes

Answer explanation

$0.44\times350=154$

A survey has found that 82% of Year 8 students own a smart phone. At Erewhon Secondary College, there are 550 Year 8 students. How many of these do NOT own a smart phone?

• 451

• 82

• 468

• 180

• 99

Answer explanation

$0.18\times550$

is 18% of 550.

In 2019, Collingwood scored 290 goals. In 2020 Collingwood scored 156 goals. What was the percentage decrease from 2019 to 2020, to the nearest percent?

• 1.34%

• 134%

• 46%

• 86%

• 54%

Answer explanation

Calculate the decrease from 2019 to 2020
= 290 - 156
=134
Then the percentage decrease is the decrease over the original amount multiplied by 100 to convert to a percentage
$\frac{134}{290}\times100\%$
=46%

Calculate 320% of 470 km

• 15.04 km

• 150.4 km

• 1504 km

• 15040 km

• 150400 km

Answer explanation

320% = 3.2

$3.2\times470=1504$

A car audio system, originally priced at $4500, was discounted by 15%. What is the new price?

• $675

• $4485

• $3000

• $3825

• $3625

Answer explanation

Discount is 15% of $4500

$0.15\times4500$ =675

So sale price = $4500-675$ =3825

A sneaky used car salesman bought a used car for $4800 and sold it to his mother for $6600. What was his percentage profit?

• 1800%

• 37.5%

• 27.3%

• 0.273%

• 0.375%

Answer explanation

Profit = 6600 - 4800 = 1800
Percentage profit equals:

$\frac{1800}{4800}\times100\%$ = 37.5%

A speculator buys corn for $800 per tonne, but is forced to sell for only $750 per tonne. What is his percentage loss?

• 6.25%

• 50%

• $50

• 5%

• 6.67%

Answer explanation

Loss = 800 - 750 = 50

Percentage loss = $\frac{50}{800}\times100\%$ = 6.25%

It costs a restaurant $6.00 to prepare a bowl of pumpkin soup. The percentage profit made on a bowl of pumpkin soup is 60%. What is the price of pumpkin soup on the menu?

• $3.60

• $6.60

• $0.60

• $60.00

• $9.60

Answer explanation

Profit = 60% of $6.00
= $0.6\times6.00$ = $3.60

Selling price = 6 +3.6 = $9.60