Middle Years

# 4.07 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.