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Roadside Tours and Travel Agency made a booking at a guesthouse for 36 work colleagues to attend a conference in Upington - NSC Mathematical Literacy - Question 2 - 2023 - Paper 1
Question 2
Roadside Tours and Travel Agency made a booking at a guesthouse for 36 work colleagues to attend a conference in Upington. The guesthouse offers rooms with 2 beds a... show full transcript
Worked Solution & Example Answer:Roadside Tours and Travel Agency made a booking at a guesthouse for 36 work colleagues to attend a conference in Upington - NSC Mathematical Literacy - Question 2 - 2023 - Paper 1
Step 1
Step 2
2.1.2 The accommodation cost includes 15% VAT.
Answer
To determine the price excluding VAT, we use the formula:
Price (excluding VAT) = Total Price / (1 + VAT Rate)
Here, the VAT Rate is 0.15. Assuming the total price for a person per night in a 2-bed room is R 900:
Price (excluding VAT) = R 900 / 1.15 = R 782.61.
Step 3
2.1.3 Calculate the missing value C1, the total for the 4-bed room.
Answer
The total cost for the 4-bed room can be calculated as follows:
Let C1 represent the total for the 4-bed room. Since the total for accommodation is the sum of the costs for the 2-bed and 4-bed rooms, and knowing that there are 20 guests in the 2-bed rooms, the formula is:
C1 = Total Amount - Cost for 2-bed rooms = R 36 800 - R 28 800 = R 8 000.
Step 4
2.1.4 Determine (in simplified form) the ratio of the number of guests booked in the 2-bed rooms to the number of guests booked in the 4-bed rooms.
Answer
Let X be the number of guests in the 2-bed rooms and Y be the number in the 4-bed rooms. From the problem:
X = 20 (2-bed rooms) and Y = 16 (4-bed rooms).
Thus, the ratio can be calculated as:
Ratio = X : Y = 20 : 16 = 5 : 4.
Step 5
2.1.5 Two colleagues who booked the 2-bed rooms cancelled.
Answer
For the cancellations, the refund amount needs to be calculated. The refund depends on the meal costs (fully refundable) and accommodation costs:
- Meal Costs (assuming R 450 per person):
Total for 2 persons = 2 * R 450 = R 900.
- Accommodation Costs: The accommodation typically is 75% refundable. Assuming the cost per person is R 900:
Refund = 2 * (R 900 * 0.75) = R 1 350.
Total refund = R 900 + R 1 350 = R 2 250.
The tour operator's statement is CORRECT, as R 2 250 is indeed less than R 2 500.