The table below shows the price board displayed at a petrol station on 12 April 2023. Pump price refers to the price before a discount is given, whereas nett price refers to the price after a discount is given. The discount given for the 3 grades is the same.

1. Find the common discount and apply it to Levo 98.

For Levo 95, discount per litre

$\$2.92 - \$2.77 = \$0.15$

Since the discount is the same for all 3 grades,

$x = \$3.41 - \$0.15 = \$3.26$

1. Find the full tank capacity in litres and the volume of fuel used.

Full tank capacity
$11.0952 \times 3.7855 = 42.0008196\text{ litres}$
Since $70\%$ of the fuel was left, fuel used was $30\%$.
$0.30 \times 42.0008196 = 12.60024588\text{ litres}$

2. Calculate the actual fuel consumption in km per litre.

Fuel consumption is distance travelled per unit volume of fuel used.
$\text{Fuel consumption}=\frac{244}{12.60024588}=19.3647\text{ km/litre}$

3. Convert the actual fuel consumption to mpg and decide whether the first claim is correct.

Given $1\text{ mpg}=0.42554\text{ km/litre}$,
$\text{Fuel consumption in mpg}=\frac{19.3647}{0.42554}=45.5\text{ mpg}$
This is not $47$ mpg.

4. Find the total discount received for a full tank of Levo 95.

For Levo 95, discount per litre
$=\$2.92-\$2.77=\$0.15$
Total discount for a full tank
$=42.0008196\times \$0.15=\$6.30012294$
So the total discount was about $\char36{}6.30$.

5. Convert the total discount into extra litres of fuel at the nett price.

Extra fuel that can be bought using the discount:
$\frac{6.30012294}{2.77}=2.2744\text{ litres}$

6. Find the extra distance possible and decide whether the second claim is correct.

Using the actual fuel consumption $19.3647\text{ km/litre}$,
$2.2744\times 19.3647=44.1\text{ km}$
This is not approximately $13.6\text{ km}$.