Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.

Money matters - Car costs.
Test Yourself 1.


 

Purchasing a car. 1,
  2.
  3.
  4.
  5.
Fuel consumption. 6.
  7.
  8. Brett's car consumes an average of 12 litres of fuel per 100 kilometres for city driving, and 7 litres per 100 kilometres for country driving.

If Brett takes a trip where he travels 72 kilometres in the city and 210 kilometres in the country, what is his expected fuel consumption?

Answer.8.64 l + 14.7 l = 23 l.
  9. An electric car with a medium sized battery will, on average, use 15kWh per 100 km.

If the cost of charging the battery is 20c/kWh, how much will it cost to travel 800 km?

Answer.800 km costs $24.
  10. In motoring discussions, it is often assumed that an average motorist travels 10,000 km in one year.

Using this figure as a basis, complete the table below comparing a petrol driven car to an electric vehicle (EV).

  Petrol Car Electric vehicle
Average consumption 5 litres/100km 15 kWh/100 km
Energy used in
1 year
   
Av. energy cost $1.30/litre 20c/kWh
Annual total    
  11.
Depreciation

12. A car is purchased for $23 200. Its depreciation can be calculated using a straight line depreciation of $4800 p.a. or using a declining balance rate of 30% p.a.


(i) Find the value of the car after 6 years using the declining balance method.

(ii) Which method will give the car the greater value after 3 years?

   
Insurance.

Mark has been quoted $1,230 for his Comprehensive Car Insurance. He has a no claim bonus of 60%.

How much is Mark required to pay?

Answer.Mark pays $738.
   
   
   
   
Running costs.  
 

David lists the costs of running his car as follows:

1. Registration - $378 annually.

2. CTP insurance - $546.00 annually.

3. Comprehensive insurance - $460 annually.

4. Service and repairs - $450.00 every three months.

5. Petrol and consumables - $40.00 per week.

He is intending to put money aside into an account each week to cover these costs and also add a 10% contingency in case of any unforseen circimstances.

How much (to the nearest dollar) should David deposit into his special car fund each week?

 

17. Andi takes her car to the car repairer. The total of the bill is $275 including the 10% GST.

How much is the GST component?

Answer.Pre-GST = $250
So GST = $25.