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Purchasing goods

Calculate discounted prices, prices including GST, currency conversions and total hire purchase costs including interest as a percentage of the cash price.

Worked examples

Calculating a discounted price

Straightforward

Problem

A jacket costs $150\$150 and is discounted by 20%. Find the sale price.

Converting currency using an exchange rate

Moderate

Problem

The exchange rate is 1 AUD=0.72 USD1 \text{ AUD} = 0.72 \text{ USD}. A traveller converts $1200\$1200 AUD to USD. How many USD will they receive?

Hire purchase cost and interest as a percentage of the cash price

Challenging

Problem

A laptop has a cash price of $1600\$1600. On hire purchase, there is a 15% deposit and 24 monthly repayments of $70\$70. Calculate the total hire purchase cost and express the extra amount paid as a percentage of the cash price, correct to 2 decimal places.

Practise

Q1·Straightforward
A jacket costs $120\$120 and is on sale at 25% off. Calculate the sale price.
Q2·Straightforward
A phone case has a pre-tax price of $45\$45. Calculate the price including GST.
Q3·Straightforward
A television costs $800\$800 and is marked down by 15%. What is the sale price?
Q4·Straightforward
A book has a pre-tax price of $32\$32. What is the price including GST?
Q5·Moderate
The exchange rate is 1 AUD=0.65 USD1 \text{ AUD} = 0.65 \text{ USD}. Convert $500\$500 AUD to USD.
Q6·Moderate
The exchange rate is 1 AUD=0.65 USD1 \text{ AUD} = 0.65 \text{ USD}. Georgia needs to pay USD 156156. How many AUD does she need?
Q7·Moderate
A laptop costs $1200\$1200 cash. A time-payment plan requires a $50\$50 deposit and 1010 monthly payments of $125\$125. How much more does the time-payment plan cost than the cash price?
Q8·Moderate
The exchange rate is 1 EUR=1.62 AUD1 \text{ EUR} = 1.62 \text{ AUD}. Convert 250250 EUR to AUD.
Q9·Challenging
A refrigerator has a cash price of $1400\$1400. On hire purchase, there is a 10% deposit and 24 monthly repayments of $65\$65. Calculate the total hire purchase cost.
Q10·Challenging
A refrigerator has a cash price of $1400\$1400. The total hire purchase cost is $1700\$1700. Express the extra amount paid as a percentage of the cash price. Give your answer correct to 2 decimal places.
Q11·Challenging
A car stereo has a cash price of $480\$480. A hire purchase agreement requires a $80\$80 deposit and 18 monthly repayments of $26\$26. Express the interest paid as a percentage of the cash price. Give your answer correct to 2 decimal places.
Q12·Challenging
A television has a cash price of $1800\$1800. On hire purchase, there is a 20% deposit and 36 monthly repayments of $47\$47. Calculate the total interest paid.