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10.01 Percentages of an amount

Worksheet
Percentages of an amount
1

Find the following to the nearest five cents:

a

10\% of \$878.70

b

10\% of \$621.94

c

5\% of \$55.80

d

5\% of \$574.20

e

5\% of \$153.41

f

1\% of \$64.70

g

1\% of \$125.10

h

1\% of \$15.24

i

21\% of \$182.80

j

25\% of \$390

k

10\% of \$92.10

2

Consider the task of finding 15\% of 6 hours:

a

Calculate the minutes in 6 hours.

b

Find 10\% of the answer for part (a).

c

Find 5\% of the answer for part (a).

d

Hence, find 15\% of 6 hours, in minutes.

3

Show a way to correctly calculate 25\% of 140.

4

Find the following, in metres:

a

50\% of 5 \text{ km}

b

25\% of 5 \text{ km}

c

12.5\% of 5 \text{ km}

d

37.5\% of 5 \text{ km}

5

To find 27\% of 90 grams, Justin chose to rewrite the percentage as a decimal. What should the decimal be?

6

Find the following:

a

45\% of 160

b

60\% of 30

c

350\% of 16

d

86\% of 5600

e

50\% of 5500

7

Find the following rounding your answer to two decimal places if necessary:

a

11\dfrac{1}{4}\% of 8800

b

33.8\% of 220

8

Find 13\% of 244. Give your answer as a mixed number.

9

Find the following:.

a

52\% of 420 \text{ cm}

b

7\% of 30 \text{ kg}

c

700\% of 30 \text{ kg}

d

94\% of 3500 \text{ km}

10

Which is greater:

a

70\% of 30\quad or \quad250\% of 18?

b

45\% of 180\quad or \quad7\% of 700?

Applications
11

Calculate the 10\% goods and services tax (GST) applicable to the following original prices of goods, rounding to the nearest cent if necessary:

a

\$30

b

\$24

c

\$38

d

\$44

12

For each of the following, find the amount of GST that will be charged:

a

Homer bought groceries that originally cost \$30.

b

George bought a puzzle that originally cost \$5.

c

Paul bought a bike that originally cost \$27.

13

For each of the following, determine the amount of the tip:

a

Sharon has finished her meal at a restaurant which came to \$36.60 but received bad service. She will only be leaving a 10\% tip.

b

David is paying for a meal which came to \$173.70. He received great service, so he is giving a 20\% tip.

c

Vanessa wants to leave a 15\% tip on a bill of \$64.54.

14

In many countries sales tax is added to the marked price of the item at the cashier desk. For the following purchases, calculate the amount of sales tax that will be charged:

a

A meal in Alabama, which costs \$ 37.48 before tax, where the sales tax is 4 \%.

b

A dress in Indiana, which costs \,\$40.60 before tax, where the sales tax is 7\%.

c

A prescribed drug in Rhode Island, which costs \$11.40 before tax, where the sales tax on prescription drugs is 7\%\,.

d

A nonprescription drug in South Dakota, which costs \$117.20 before tax, where the sales tax on nonprescription drugs is 4\%\,.

15

A town in New Zealand receives 13\% of its water supply from the runoff of melted snow. The city has a yearly water supply of 38\,000\,000 megalitres.

a

Find 1\% of the yearly water supply.

b

Hence, find the number of megalitres that comes from melted snow each year.

16

Yuri is eating a box of cookies. The nutritional information states that each cookie contains 7\% of his recommended daily intake of sugar. If his recommended daily intake of sugar is 37\,500\text{ mg} , how many milligrams of sugar does each cookie contain?

17

Patricia heated 850\text{ mL} of solution. After a few minutes, 55\% of the solution had evaporated. What quantity of solution remained?

18

When tickets to a football match went on sale, 32\% of the tickets were purchased in the first hour. If the stadium seats 47\,000 people, what was the number of seats still available after the first hour?

19

Jay scored 91\% of a possible 300 marks. He had aimed to score 98\% of the marks.

a

What percentage increase was needed?

b

How many actual more marks were required?

20

A theatre has a capacity of 1\,000 people. On the opening night the theatre was 85\% full. On the second night it was 80\% full.

a

How many people attended the theatre on the first night?

b

How many people attended theatre second night?

c

How many people attended the theatre in total on the first 2 nights.

21

The Medicare levy is charged at 2\% of taxable income. Calculate the Medicare levy on a taxable income of \$60\,000.

22

Calculate the value of 2\% commission if total sales were \$5900.

23

A salesperson earns a 12\% commission on their sales each week. In one week, their sales amounted to \$990.

Find the total commission they made this week.

24

A telephone marketer earns a 13\% commission on their sales each week. In one week, their sales amounted to \$81\,800.

Find the total commission they made this week.

25

A sales assistant is paid a commission of 14\% on her weekly sales. Find her commission for a week in which she sells products to the value of \$3000.

26

Sally and Valentina are employed by different companies to sell computers. Their commissions on weekly sales are 1.5\% and 2\%, respectively. This week they each sold \$19\,600 worth of computers.

a

Find Sally's commission for the week.

b

Find Valentina's commission for the week.

c

Which of the two saleswomen obtained the most commission, Sally or Valentina?

d

By how much did the saleswoman with the larger commission exceed the other saleswoman's pay for the week?

27

Fiona is paid 7\% commission on the first \$2600 of goods sold and 1\% on any value thereafter. Fiona sells goods to the value of \$15\,400.

a

Calculate the commission earned on the first \$2600 of goods sold.

b

Calculate the commission earned on the amount of goods sold in excess of \$2600.

c

Hence find Fiona's total commission earned.

28

Han is paid a commission of 3\% of the value of tiles sold in excess of \$2100. Calculate his income if he sells tiles to the value of \$6600.

29

A survey recently found that a number of baby bottles had incorrect volume markings on them. Almost half of the bottles tested were inaccurate by more than ten percent.

a

If a 200 \text{ mL} bottle was inaccurate by 10\%, what was the minimum volume that could be contained in that bottle?

b

What was the maximum volume that could be contained in the 200 \text{ mL} bottle?

c

Some bottles were inaccurate by 45\%. How much liquid could these bottles contain as a minimum?

d

How much liquid could these bottles contain as a maximum?

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