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Australia
Year 8

2.03 Profit and loss

Worksheet
Net change in money
1

Describe what it means if the net change in money is:

a

Positive

b

Negative

2

For each of the following, describe the change in money:

a

After buying and then selling a bicycle, the net change in Laura's money was - \$44.

b

After buying and then selling a scarf, the net change in Sandy's money was \$5.

c

After buying and then selling a chair, the net change in Derek's money was - \$8.

d

After buying and then selling a scarf, the net change in Bianca's money was \$0.

e

After buying and then selling a toaster, the net change in Edward's money was \$65.

3

For each of the following items, find the net change in money as a directed number:

a

Valentina bought a pillow for \$2 and sold it for \$16.

b

Bill bought a chair for \$17 and sold it for \$6.

c

Hannah bought a tennis racquet for \$82 and sold it for \$169.

d

Aoife bought a car for \$12\,000 and sold it five years later for \$4500.

e

Yan bought an apartment for \$380\,000 and sold it ten years later for \$520\,000.

4

In its opening month, a local pizza store sold 190 large pizzas at \$20 each and 200 small pizzas at \$6 each. The store incurred electricity costs of \$26, water costs of \$10, rent of \$408, wages of \$1345 and ingredient costs of \$210.

a

Calculate the total revenue of the store in the first month.

b

Calculate the total expenses of the store in the first month.

c

Calculate the net change in money by the store in the first month.

Cost and sale price
5

Find the sale price of the following items:

a

Cost price: \$58, profit: \$10.

b

Cost price: \$120, profit: \$32.50.

c

Cost price: \$80, loss: \$27.

d

Cost price: \$250, loss: \$135.

e

Sandy bought a stove for \$238. She eventually sold the stove and made a profit of \$39.

f

William bought a wallet for \$12. He eventually sold the wallet and made a profit of \$2.

g

Pauline bought a plane ticket for \$469. She then had to sell the plane ticket and made a loss of \$9.

h

Ryan bought a guitar for \$176. He eventually sold the guitar and made a loss of \$37.

6

Find the cost price of the following items:

a

Sale price: \$72, profit: \$15.

b

Sale price: \$10\,000, profit: \$2200.

c

Sale price: \$520, loss: \$210.

d

Sale price: \$780, loss: \$360.

e

Ben sold a toothbrush for \$12 and made a profit of \$3.

f

Pauline sold a washing machine for \$486 and made a loss of \$7.

g

Sarah sold a laptop for \$233 and made a profit of \$55.

h

David sold a pair of earrings for \$161 and made a loss of \$55.

7

Find the profit on the following items:

a

Cost price: \$65, sale price: \$82.

b

Cost price: \$120, sale price: \$186.

c

Cost price: \$1400, sale price: \$2050.

d

Cost price: \$86.50, sale price: \$93.50.

e

Glen bought a trading card for \$11 and sold it for \$24.

f

Roxanne bought a dress for \$712 and sold it for \$829.

8

Find the loss on the following items:

a

Cost price: \$70, sale price: \$45.

b

Cost price: \$225, sale price: \$138.

c

Cost price: \$5870, sale price: \$4250.

d

Cost price: \$850, sale price: \$375.50.

e

Judy bought a basketball for \$99 and sold it for \$92.

f

Charlie bought a sculpture for \$660 and sold it for \$585.

9

Find the profit (or loss) for each of the following:

a

The sale price is \$540 and the cost price is \$284.

b

The sale price is \$2065 and the cost price is \$3120.

c

The sale price is \$340.50 and the cost price is \$290.80.

d

The sale price is \$1800 and the cost price is \$3500.

e

The cost price is \$276.90 and the sale price is \$320.55.

f

The cost price is \$2480 and the sale price is \$1770.

Percentage profit and loss
10

Charlie bought a cake for \$220 and sold it for \$209. Describe Charlie's change in money after buying and selling the cake.

11

Sean bought a spade for \$36 and sold it for \$45. Describe Sean's change in money after buying and selling the spade.

12

Oliver bought a baseball bat for \$130 and sold it for \$143.

a

Calculate Oliver's profit.

b

Find the percentage profit of the cost price of the baseball bat.

c

Describe Oliver's change in money after buying and selling the baseball bat.

13

Bianca bought a microwave for \$50 and sold it for \$35.

a

Calculate Bianca's loss.

b

Find the percentage loss of the cost price of the microwave.

c

Describe Bianca's change in money after buying and selling the microwave.

14

John buys a used laptop for \$391 and resells it for \$554.

a

Calculate the profit John make on the laptop.

b

Find this profit as a percentage of the cost price.

15

Paul invests \$9000 in the stock market only to see his shares plummet in value to \$4509.

a

Calculate the loss Paul make on the shares.

b

Find this loss as a percentage of the cost price.

16

Sally purchased a dress for \$20 and auctioned it off on eBay for \$41. Find:

a

The profit (or loss).

b

The profit (or loss) as a percentage of the cost, correct to two decimal places.

c

The profit (or loss) as a percentage of the sale price to two decimal places.

17

Buzz bought a mobile phone for \$170 and sold it 7 months later, making a loss of 30\% on the purchase price. Find the selling price mobile phone.

18

Every item in store is sold at 8\% above cost. If a product was bought from the manufacturer for \$360, find:

a
The sale price
b
The profit (or loss)
19

Sarah bought a bicycle for \$400 and sold it for a 18\% profit.

a

Find the profit made on the bicycle.

b

Hence, find the sale price of the bicycle.

20

Hermione bought a phone for \$200 and sold it for a 16\% loss.

a

Find the loss made on the phone.

b

Hence, find the sale price of the phone.

21

Noah sold a jumping castle for \$700 which was a 12\% profit.

a

Find the sale price of the jumping castle as a percentage of the cost price.

b

Hence, find the cost price of the jumping castle.

22

James sold a jacket for \$600 which was a 4\% loss.

a

Find the sale price of the jacket as a percentage of the cost price.

b

Hence, find the cost price of the jacket.

23

Yvonne bought a car for \$17\,600 and sold it 2 years later, making a loss of 19\%. Find the sale price of the car.

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Outcomes

ACMNA187

Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies

ACMNA189

Solve problems involving profit and loss, with and without digital technologies

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