Vehicle costs
Calculate stamp duty, total on-road costs, and compare outright purchase with loan options for vehicles.
Worked examples
Calculating stamp duty
Straightforward
Problem
A car is purchased for . Stamp duty is charged at 3% of the purchase price. Calculate the stamp duty payable.
1
Write the stamp duty rate as a decimal.
2
Multiply the purchase price by the rate.
3
State the answer with units.
Stamp duty
Answer
Total on-road costs
Moderate
Problem
A car has a purchase price of . Stamp duty is 3% of the purchase price, registration costs and CTP insurance costs . Calculate the total on-road cost.
1
Calculate stamp duty.
2
Add all costs together.
Answer
Comparing outright purchase with a loan
Challenging
Problem
A car has a cash price of . A loan option requires a deposit and 48 monthly repayments of . Calculate the total interest paid and express it as a percentage of the cash price.
1
Calculate the total of all monthly repayments.
2
Add the deposit to find the total amount paid under the loan.
3
Find the interest paid by subtracting the cash price from the total loan cost.
4
Express the interest as a percentage of the cash price.
Answer
The total interest paid is , which is approximately of the cash price. The loan option costs more than paying cash.
Practise
Q1·Straightforward
A car is purchased for . Stamp duty is charged at 3% of the purchase price. What is the stamp duty payable (in dollars)?
Explanation
Stamp duty .
Q2·Straightforward
A car is purchased for . Stamp duty is charged at 3% of the purchase price. What is the stamp duty payable (in dollars)?
Explanation
Stamp duty .
Q3·Straightforward
A vehicle is purchased for . Stamp duty is 3% of the purchase price. What is the stamp duty payable (in dollars)?
Explanation
Stamp duty .
Q4·Straightforward
A vehicle is purchased for . Stamp duty is charged at 3% of the purchase price. What is the stamp duty payable (in dollars)?
Explanation
Stamp duty .
Q5·Moderate
A car has a purchase price of . Stamp duty is 3% of the purchase price, registration costs and CTP insurance costs . What is the total on-road cost (in dollars)?
Explanation
Stamp duty . Total .
Q6·Moderate
A vehicle costs . Stamp duty is 3% of the purchase price, registration costs and CTP insurance costs . What is the total on-road cost (in dollars)?
Explanation
Stamp duty . Total .
Q7·Moderate
A used car is purchased for . Stamp duty is 3% of the purchase price, registration costs and CTP insurance costs . What is the total on-road cost (in dollars)?
Explanation
Stamp duty . Total .
Q8·Moderate
A vehicle is purchased for . Stamp duty is 3% of the purchase price, registration costs and CTP insurance costs . What is the total on-road cost (in dollars)?
Explanation
Stamp duty . Total .
Q9·Challenging
A car has a cash price of . A loan option requires a deposit and 48 monthly repayments of . What is the total amount paid under the loan option (in dollars)?
Explanation
Total repayments . Total paid .
Q10·Challenging
A car has a cash price of . A loan option requires a deposit and 48 monthly repayments of . What is the total interest paid under the loan option (in dollars)?
Explanation
Total loan cost . Interest .
Q11·Challenging
A car has a cash price of . Under a finance deal, the buyer pays a deposit and 36 monthly repayments of . What is the total cost of the finance option (in dollars)?
Explanation
Total repayments . Total cost .
Q12·Challenging
A car has a cash price of . A loan option requires a deposit and 60 monthly repayments of . What is the total interest paid expressed as a percentage of the cash price? Give your answer rounded to the nearest whole number.
Explanation
Total loan cost . Interest . Percentage .