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Percentages Problem Solving

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Percentages Problem Solving

Percentage calculations

Work out each amount. Show your calculations and give money answers to the nearest cent.

1.A backpack costs $70. What is its price after a 10% discount?

2.A shop increases the $160 price of a lamp by 12%. Find the new price.

3.Work out 10% GST on a desk priced at $340 before GST. Then find the price including GST.

4.A pair of runners is marked at $125. Calculate the price after a 24% discount.

Percentages in everyday situations

Use the information in each problem to find the requested amount.

5.Jarrah finds a scooter listed at $520 with a 30% student discount. How much does she pay after the discount?

6.A market stall buys a box of tea for $48 and adds a 25% markup. What price does it charge before GST?

7.Arjun buys a camera for $950 before GST. Find the total cost when 10% GST is added.

Multi-step percentage challenges

Complete each stage in order. Include your working.

8.A tablet costs $500. The shop adds a 10% markup, then takes 20% off that marked-up price for a promotion. Add 10% GST to the discounted price. Find the price after each stage and the final amount paid.

9.A bookcase is priced at $720 before GST. It is reduced by 15% in a sale, then 10% GST is added to the sale price. What is the final amount paid?

10.A jacket has an original price of $180 and is discounted by 20%. Explain why GST is worked out on the discounted selling price, rather than on the original price. Include the GST amount in your explanation.