(a) Sara buys a new car. The cash price of the car is \$4500. She can pay for the car using option A or option B. Option A Option B --- --- Pay $\frac{1}{5}$ of the cash price then 12 monthly payments of \$340 Pay 12% of the cash price then 24 monthly payments of \$195 Which option is cheaper and by how much? Option \_\_\_\_\_\_ is cheaper by \$ \_\_\_\_\_\_ (b) Sara’s car uses $5.2$ litres of petrol for each $100\,\text{km}$ she drives. Petrol costs \$0.85 per litre. Sara…

Mathematics (Syllabus D) 4024/22 — October/November 2017

Cambridge O-Level · Calculator · worked solutions for every part, with the mark scheme

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150

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Topics Number · Algebra and Graphs · Mensuration · Statistics · Geometry · [Legacy] Matrices · +3 more

Q1NumberFree sample

(a)

Sara buys a new car.
The cash price of the car is $4500.
She can pay for the car using option A or option B.

Option A	Option B
Pay $\frac{1}{5}$ of the cash price then 12 monthly payments of $340	Pay 12% of the cash price then 24 monthly payments of $195

Which option is cheaper and by how much?

Option ______ is cheaper by $ ______

(b)

Sara’s car uses $5.2$ litres of petrol for each $100\,\text{km}$ she drives.
Petrol costs $0.85 per litre.
Sara drives $240\,\text{km}$ .

Calculate the cost of the petrol used for this journey.
Give your answer correct to the nearest cent.

$ ______

(c)

Sara pays a total of $322 for her car insurance.
This total is made up of a basic charge plus 15% sales tax.

Calculate the amount of sales tax that Sara pays.

$ ______

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