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Percentage Increase and Decrease
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Percentage Increase and Decrease
Show your working for calculation questions. Give money answers in Australian dollars and round percentage answers to one decimal place when needed.
Calculating Percentage Changes
Use the original amount as the base when finding a percentage change.
1.A bicycle helmet costs $160. Its price rises to $184. What is the percentage increase?
2.A tablet originally priced at $960 is reduced to $768. Calculate the percentage decrease.
3.A regional library's collection grows from 24,000 books to 27,600 books. Find the percentage increase.
4.A dinner bill is $64 before a 12.5% discount. What amount is payable after the discount?
Percentage Changes in Context
Compare percentage changes using each situation's own starting value.
5.Two shops advertise discounts on the same model of headphones. Shop A reduces the price from $250 to $200. Shop B reduces it from $220 to $176. Which shop gives the greater percentage discount, or are they equal? Show how you know.
6.Ruby-Mae's fortnightly pay changes from $1,240 to $1,364. Mei's changes from $1,050 to $1,155. Who receives the larger percentage increase? Show both percentages.
7.A retailer adds a 20% markup to a product's wholesale cost. The marked-up price is $42,000. What was the wholesale cost?
8.In a sentence or two, explain what a sign saying “25% off” means for an item's price. Give one reason a customer might consider the original price as well as the sale price.
Quick Check
Choose or write the correct percentage or price.
9.A monthly streaming subscription rises from $48 to $60. What is the percentage increase?
- 12%
- 20%
- 25%
- 30%
10.A $120 jacket is discounted by 30%. What is its sale price?
- $36
- $84
- $90
- $156
11.A used car's value falls from $32,000 to $24,000. What percentage decrease is this?
12.A shop raises every price by 6%. If an item's original price is $x, which expression gives its new price?
- $x + 6
- $0.94x
- $1.06x
- $x ÷ 1.06
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