TABLE 3 below shows the bus fare (in rand), including 14% VAT, for a single trip between two cities - NSC Mathematical Literacy - Question 2 - 2017 - Paper 1

The single bus fare of R350.00 is between Port Elizabeth and Grahamstown.

Let the cost from Port Elizabeth to City X be X.

The total fare for the entire journey is:

$X + (cost ext{ from City X to Bloemfontein}) = 755$

From the provided table, the bus fare from Bloemfontein to Port Elizabeth is R410.

Since we are given that the total trip cost is R755, we can express this as:

$X + 410 = 755$

Solving for X gives:

$X = 755 - 410$ $X = 345$

Thus, the cost from Port Elizabeth to City X is R345.

City X is King William's Town, as it has a bus fare of R320 (the only route that fits the condition).

To find the cost excluding VAT, we can use the formula:

ext{Cost excluding VAT} = rac{ ext{Total cost}}{1 + ext{VAT rate}}

In this case:

ext{Cost excluding VAT} = rac{R365.00}{1.14}

Calculating this gives:

$ext{Cost excluding VAT} = R320.18$

Lindiwe travels from Queenstown to Bloemfontein and back once a month, making 12 trips a year.

Using the bus fare of R395.00 for one way:

The cost for a round trip is:

$ext{Total cost per month} = 2 imes 395 = R790$

For one year:

$ext{Total cost for one year} = 12 imes 790 = R9,480$