Question

I need your help please.
Saira is buying a new car. She will keep the car for 5 years. Saira has this information.
Diesel car
Buying price £29515
Average Running cost
£1200 each year

Petrol car
Buying price £26775
Average total running cost
£8000 for 5 years
Saira wants to see whether a diesel car or petrol car is better value for 5 years.
Which type of car is better value ?
Show why you think this.

Answer 1

$1. \underline{ \pink { Details \: of \: a \:Diesel \:car : }}$

$Cost \:price \:of \: car = £ 29515$

$Average \: Running \:cost = £ 1200 \:per \:year$

$Running \:cost \: for \: 5 \: years\\ = 5 \times £ 1200 \\= £ 6000$

$\blue { Total \: cost } \\= Car \: price + Running \:cost \\= £ 29515 + £ 6000 \\= £ 35515 \: --(1)$

$2. \underline{ \pink { Details \: of \: a \: Petrol \:car : }}$

$Cost \:price \:of \: car = £ 26775$

$Running \:cost \: for \: 5 \: years = £ 8000$

$\blue { Total \: cost } \\= Car \: price + Running \:cost \\= £ 26775 + £ 8000 \\\green {= £ 34775} \: --(2)$

$\therefore (1) > (2)$

$\implies £ 35515 > £ 34775$

$So, \orange { Petrol \: car \: is \: better \: than\: Diesel \:car }$

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