topic badge
AustraliaNSW
Stage 5.1-3

8.01 Financial decisions

Worksheet
Profit and loss
1

For the following situations:

i

Identify whether it concerns a profit or a loss.

ii

Calculate the total profit of loss.

a

The selling price is \$303 and the cost price is \$276.

b

The selling price is \$1242 and the cost price is \$3610.

c

The money received is \$660.61 and the expenses are \$291.87.

d

The money received is \$4786.71 and the expenses are \$5653.17.

e

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

f

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

2

Calculate the cost price when:

a

The selling price is \$393 and the profit is \$157.

b

The selling price is \$4645 and the loss is \$3653.

c

The selling price is \$575.37 and the profit is \$348.33.

d

The loss is \$6210 and the selling price is \$6610.

e

The loss is \$520 and the selling price is \$360.

f

The profit is \$235 and the selling price is \$699.

3

Calculate the expenses when:

a

The money received is \$318 and the profit is \$176.

b

The money received is \$6095 and the loss is \$1777.

c

The money received is \$481.43 and the loss is \$216.13.

d

The profit is \$108 and the money received is \$390.

e

The loss is \$104.40 and the money received is \$114.50.

f

The loss is \$11\,350 and the money received is \$19\,760.

4

Calculate the sale price of an item if:

a

The cost price was \$336 and the profit made was \$342.

b

The cost price was \$9174 and the loss on the sale was \$2534.

c

The cost price was \$304.77 and the loss on the sale was \$199.51.

d

The cost price was \$7557 and the loss on the sale was \$1922

e

The cost price was \$636.97 and the loss on the sale was \$478.92

f

The loss on the sale was \$13\,093 and the cost price was \$31\,480.

5

Calculate the total revenue if:

a

The expenses are \$355 and the profit is \$216.

b

The expenses are \$4383 and the loss is \$3884.

c

The expenses are \$162.42 and the profit is \$418.57.

d

The expenses are \$2590 and the loss is \$1960.

e

The profit is \$240 and the expenses are \$340.

f

The loss is \$1893 and the expenses are \$3052.

6

Han buys a used bike for \$230 and resells it for \$586 without spending any money on it.

a

How much profit did Han make on the bike?

b

Find his percentage profit rounded to two decimal places.

7

Ally bought a computer for \$1980 and later sold it for \$1040.

a

Express the loss as a percentage of the cost price, correct to one decimal place.

b

Express the loss as a percentage of the selling price, correct to one decimal place.

8

Lucy invests \$7000 in the stock market only to see her shares plummet in value to \$4000.

a

Find the amount of Charlotte's loss.

b

What is her percentage loss? Round your answer to two decimal places.

9

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

a

Her profit.

b

The profit as a percentage of the cost, correct to two decimal places.

c

The profit as a percentage of revenue, correct to two decimal places.

Discounts and mark-ups
10

A popular hotel increased its nightly rates from \$223 to \$263.

a

How much more does a single night's stay cost now?

b

By what percentage did the nightly rate increase? Round your answer to two decimal places.

11

A DVD player normally sells for \$4930.79, but is currently on sale. In each of the following scenarios, calculate the percentage discount correct to two decimal places:

a

The DVD player is discounted by \$261.80.

b

The DVD player is on sale for \$4773.59.

12

For each of the following scenarios:

i

Find the discounted price.

ii

Express the initial price as a percentage of the discounted price to two decimal places.

iii

Find the percentage increase in price needed to restore the discounted price back to its original to two decimal places.

a

A washing machine initially selling for \$597 is discounted by 7\%.

b

A dishwasher initially selling for \$621 is discounted by 6\%.

c

A microwave initially selling for \$230 is discounted by 12\%.

13

A dress originally marked at a price of \$170 is advertised to be selling at 15\% off this marked price. Find the discounted price.

14

A shop owner decides to mark up the price of a sled by 31\% so that it now sells for exactly \$90. Find the original price of the sled.

15

A bakery sells garlic twist loaves, baked fresh every day. At 4:30 pm, just before closing, they discount any remaining loaves by 49\% and sell them for \$4 each.

Find the original price for a garlic twist loaf.

16

James bought a property for \$248\,000. In the first year, it had increased in value by 5\%, but in the second year, the value decreased by 5\%. Given that the running costs during the two years amounted to \$1900, we want to find James’s profit or loss at the end of the two years.

a

Calculate James's profit based solely on the changing value of the house to two decimal places.

b

Hence, calculate James's total profit taking into account other expenses to two decimal places.

17

Shares which originally cost \$23 each increase in value by 5\%, then they increase again by 9\%.

a

Calculate the cost of the shares after the first increase.

b

Calculate the cost of the shares after the second increase.

c

By how much has the share price increased in overall?

d

Find the overall percentage increase this is equivalent to. Round your answer to two decimal places.

18

A set of professional knives for chefs originally cost \$1600 and is on sale at 20\% off. A chef receives a further 9\% trade discount after the sale discount is applied.

a

Find the final cost of the set to a chef.

b

How much overall would be saved in comparison to the original price?

c

Find the overall percentage discount this is equivalent to. Round your answer to two decimal places.

19

James wants to buy a jacket that is originally priced at \$220 and is on sale at 9\% off. The jacket is then further discounted by 15\%.

a

Find the final selling price of the jacket.

b

Find the overall percentage discount this is equivalent to. Round your answer to two decimal places.

c

James believes that if the discounts are applied in the reverse order (that is the 15\% discount first and then the 9\% discount) he will save more money. Is he correct? Explain why.

20

A microwave selling for \$900 is discounted successively at 6\% and 9\%.

a

Find the price of the microwave after the first discount.

b

Find the price of the microwave after the second discount.

c

Calculate the discounted sales price, if the discount is 6\% + 9\% = 15\%.

d

Is a single discount of 15\% equal to successive discounts of 6\% and 9\%?

e

Find the single discount rate that is equivalent to successive discounts of 6\% and 9\%. Write your answer as a percentage to two decimal places.

21

A guitar is on sale for \$347.90 after a discount of 29\% and an additional discount of 30\%.

a

Write the formula for the sale price.

b

Find the overall percentage change this is equivalent to.

c

Find the original selling price of the guitar.

22

A bladesmith began her career selling her swords for \$1600. After a few months she marked up the price by 14\%. A few weeks after that, a video of her making the swords went viral, and she marked up the price by 15\%. In a few days she is due to appear on a popular podcast, and in anticipation of the increased demand she marks up the price by 12\%.

Find the price of the bladesmith's swords after all the mark ups.

23

In response to the changing economy, the price of a car is marked up by 27\%, then discounted by 28\%, marked up again by 14\% and then finally discounted again by 35\%.

Given the car was originally priced at \$38\,000, calculate the new price of the car.

Best buys
24

Rosey is deciding which of two different cereals she should buy:

  • Choco Pops costs \$2.10 for 500\text{ g}.

  • Special Q costs \$0.24 for 100\text{ g}.

a

Find the cost per kilogram of Choco Pops.

b

Find the cost per kilogram of Special Q.

c

Which of the cereal brands is cheaper to buy?

25

At a grower’s market, durians are sold at Emporio for 56\text{ c/kg}. At Greenery, each 4.5 \text{ kg} durian is sold for \$3.50.

a

First, calculate the price of 4.5\text{ kg} of durian from Emporio.

b

Which store is the best buy?

26

James paid \$89 for 61\text{ L} of petrol in North Haverbrook. Valentina paid \$76 for 45 \text{ L} of petrol in Dunkilderry.

a

How much does petrol cost per litre in North Haverbrook?

b

How much does petrol cost per litre in Dunkilderry?

c

In which suburb is petrol cheaper?

27

A computer normally sells for \$3605.67, but is currently on sale. In each of the following scenarios, calculate the percentage discount.

Round each answer to two decimal places.

a

The computer is discounted by \$325.80.

b

The computer is on sale for \$3222.37.

28

Hannah is buying juice for her nephew's birthday party. The choices are the following:

  • A 1.3 \,\text{L} bottle of apple juice costs \$4.55.

  • A 3.2 \,\text{L} bottle of orange juice costs \$6.40.

a

How much does apple juice cost per litre?

b

How much does orange juice cost per litre?

c

Which juice is the best buy?

29

A supermarket sells two different brands of eggs, Sunny Side Up and Classy Chooks:

  • Sunny Side Up eggs cost \$7.70 for 11 eggs.

  • Classy Chooks eggs cost \$2.10 for 7 eggs.

a

Find the cost in cents per egg from Sunny Side Up.

b

Find the cost in cents per egg from Classy Chooks.

c

Which brand sells its eggs at a cheaper price?

30

Two similar quality heaters both originally cost \$2249.

a

The first heater is discounted by 17\%. Find the new price.

b

The second heater is discounted by 10\%, and then by a further 7\% after that. Find the new price.

c

Which heater is the best buy?

Sign up to access Worksheet
Get full access to our content with a Mathspace account

Outcomes

MA5.1-4NA

solves financial problems involving earning, spending and investing money

What is Mathspace

About Mathspace