4.08 Consumer percentages
Find the discounted price for each of the following:
A pair of boots priced at \$80 is discounted by 35\%.
A desk priced at \$80 is discounted by 40\%.
A board game priced at \$25 is discounted by 30\%.
A cricket bat originally marked at a price of \$150 is advertised to be selling at 45\% off this marked price.
Find the marked up price for each of the following:
A book priced at \$90 is marked up by 40\%.
A dress at \$120 is marked up by 30\%.
A brush set priced at \$140 is marked up by 45\%.
A t-shirt originally priced at \$170 is marked up to sell for 45\% more.
Find the percentage increase in price after the following mark ups are applied:
The new price of a wallet after a mark up is calculated by multiplying the original price by 110\%.
The new price of a hat after a mark up is calculated by multiplying the original price by 121\%.
Find the percentage decrease in price after the following discounts are applied:
The new price of a phone after a discount is calculated by multiplying the original price by 95\%.
The new price of a shirt after a discount is calculated by multiplying the original price by 77\%.
Find the original price of the following items:
The price of a basketball was marked up by 60\% and is now \$144.
The price of a singlet was marked up by 45\% and is now \$26.10.
The price of a backpack was discounted by 30\% and is now \$63.
The price of a golf club was discounted by 35\% and is now \$11.70.
Find the original price of the following items:
A shop owner decides to mark up the price of a sled by 31\% so that it now sells for exactly \$60.
A bakery sells garlic twist loaves, baked fresh every day. At 4:30 pm, just before closing, they discount any remaining loaves by 43\% and sell them for \$2 each.
A popular hotel increased its nightly rates from \$277 to \$349.
Calculate how much more a single night's stay costs after the price increase.
By what percentage did the nightly rate increase? Round your answer to two decimal places.
A holiday resort in Tasmania reduced its overnight rates from \$313 to \$239.
Calculate how much less a single nights stay cost after the decrease in price.
By what percentage did the nightly rate decrease? Round your answer to two decimal places.
A laptop originally sells at \$4700.
Calculate its sale price after successive discounts of 6\% and 9\%.
Calculate its sale price after successive discounts of 9\% and 6\%.
Does the order of discounting affect the sale price? Explain your answer.
Calculate its sale price after successive discounts of 8\%, 7\% and 5\%.
Find the final price after applying both mark ups:
A mattress originally priced at \$90 is marked up by 70\%. A few months later, the mattress is marked up from its new price by a further 60\%.
A world trip originally priced at \$9000 is marked up by 17\%. A few months later, the world trip is marked up from its new price by a further 49\%.
Find the final price after applying both discounts:
A painting canvas originally priced at \$80 is discounted by 40\%. A few months later, the painting canvas is discounted from its new price by a further 20\%.
A second-hand boat originally priced at \$12\,000 is discounted by 23\%. A few months later, the boat is discounted from its new price by a further 6\%.
Find the final price after applying both the discount and the mark up:
A backpack originally priced at \$90 is marked up by 40\%. A few months later, the backpack is discounted from its new price by 10\%.
A washing machine originally priced at \$80 is discounted by 15\%. A few months later, the washing machine is marked up from its new price by 45\%.
The Run4Fun charity race is increasing in popularity. A year ago 60\,000 people registered to run, and this number is expected to increase by 6\% this year and then by another 8\% next year. How many people are expected to run next year?
A skipping rope priced at \$10 is marked up by 40\% and then later discounted by 40\%.
Calculate the new price of the skipping rope.
Explain why the new price of the skipping rope is not equal to the original price of the skipping rope.
An artist paints 1 landscape and 1 portrait painting, pricing them both at \$3200.
The price of the landscape painting is marked up once by 8\% and later marked up by a further 23\%.
The price of the portrait painting is marked up once by 23\% and later marked up by a further 8\%.
Find the final price of the landscape painting after applying both mark ups.
Find the final price of the portrait painting after applying both mark ups.
The artist notices that, after calculating all the mark ups, the price of the landscape and portrait paintings are equal. Explain why the prices are equal.
A television and a barbeque are both priced at \$3100.
The price of the television is discounted once by 21\% and later discounted by a further 12\%.
The price of the barbeque is discounted once by 12\% and later discounted by a further 21\%.
Will the final price of both items be equal? Explain your answer.
A stool priced at \$60 is marked up by 30\% and then marked up again by 70\%. Instead of calculating 2 separate mark ups, Judy claims that she can calculate the final price in a single step using the expression 60 \times 130\% \times 170\%.
Is Judy correct? Explain your answer.
Find the final price of the flute.
A flute priced at \$600 is marked up by 10\% and then marked up again by 40\%.
Instead of calculating 2 separate mark ups, Elizabeth claims that she can calculate the final price in a single step using the expression 600 \times 150\%, because 10 + 40 = 50.
Is Elizabeth correct? Explain your answer.
Find the final price of the flute.
A tent priced at \$120 is discounted by 25\% and then discounted again by 15\%. Instead of calculating 2 separate discounts, Edward claims that he can calculate the final price in a single step using the expression 120 \times 75\% \times 85\%.
Is Edward correct? Explain your answer.
Find the final price of the tent.
A bookcase priced at \$110 is discounted by 20\% and then discounted again by 15\%. Instead of calculating 2 separate discounts, Carl claims that he can calculate the final price in a single step using the expression 110 \times 65\%, because 100 - 20 - 15 = 65.
Is Carl correct? Explain your answer.
Find the final price of the bookcase.
A book set priced at \$75 is discounted by 20\% and later marked up by 12\%. Instead of calculating 1 discount and 1 mark up, Luigi claims that he can calculate the final price in a single step using the expression 75 \times 80\% \times 112\%.
Is Luigi correct? Explain your answer.
Find the final price of the book set.
A computer game priced at \$80 is discounted by 15\% and later marked up by 20\%. Instead of calculating 1 discount and 1 mark up, Tom claims that he can calculate the final price in a single step using the expression 80 \times 105\%, because 100 - 15 + 20 = 105.
Is Tom correct? Explain your answer.
Find the final price of the computer game.
The price of a heater selling for \$234 is initially discounted by 14\% and later marked up by 14\%. Find the final sale price of the heater.
A jeweller began her career selling her necklaces for \$1500. After a few months she marked up the price by 16\%. A few weeks after that a video of her making the necklaces went viral, and she marked up the price by 11\%. 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 13\%. Find the price of the jeweller's necklaces after all the mark ups.
In order to keep up with competition, a local shoemaker is forced to discount the price of his signature boots by 23\%. Noticing that he still isn't selling enough, the shoemaker discounts his boots by a further 22\% the next week, and then another 35\% the week after that. The boots were originally priced at \$110. Find the final price of the shoemaker's boots after all the discounts.
In response to the changing economy, the price of a car is marked up by 35\%, then discounted by 13\%, marked up again by 28\% and then finally discounted again by 14\%. If the car was originally priced at \$33\,000, find the new price of the car.