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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

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TABLE 3 below shows the bus fare (in rand), including 14% VAT, for a single trip between two cities. TABLE 3: BUS FARE IN RAND FOR A SINGLE TRIP | Port Elizabeth |... show full transcript

Worked Solution & Example Answer: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

Step 1

Write down the SECOND highest bus fare for a single trip between two cities.

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Answer

According to TABLE 3, the second highest bus fare is R410.00.

Step 2

Between which two cities is the single bus fare of R350,00?

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Answer

The single bus fare of R350.00 is between Grahamstown and King William's Town.

Step 3

Calculate the cost from Port Elizabeth to City X.

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Answer

The total cost from Port Elizabeth to Bloemfontein is R755.00. The cost from Port Elizabeth to City X can be calculated as:

Cost from Port Elizabeth to City X = Total Cost - Cost from City X to Bloemfontein

From the table, Row Port Elizabeth to Bloemfontein is R435.00.

Therefore, Cost from Port Elizabeth to City X = R755.00 - R435.00 = R320.00.

Step 4

Hence, identify City X.

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Answer

Given the cost from Port Elizabeth to City X is R320.00, and given the bus fare table, City X can be identified as King William's Town.

Step 5

Determine the cost, excluding 14% VAT, of a single bus fare of R365,00.

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Answer

To determine the fare excluding VAT, we can apply the formula:

Cost excluding VAT = Total cost / (1 + VAT rate)

Substituting the values:

Cost excluding VAT = R365 / 1.14 = R320.18.

Step 6

Calculate her total travelling cost for ONE year.

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Answer

Lindiwe travels from Queenstown to Bloemfontein and back once a month, which means 2 trips per month.

Total trips per year = 2 trips/month x 12 months = 24 trips.

From the table, the cost for a single trip from Queenstown to Bloemfontein is R435.00.

Total travelling cost for one year = 24 trips x R435.00 = R10,440.00.

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