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

The accommodation cost is R900, which includes 15% VAT. To find the price excluding VAT, we calculate:

ext{Price excluding VAT} = rac{ ext{Total cost}}{1 + ext{VAT rate}} = rac{R900}{1.15} = R782.61

Thus, the price per person per night in a 2-bed room, excluding VAT, is R782.61.

Using the provided invoices, the total amount for the 4-bed room can be calculated as:

$$C_1 = R900 + R350 + R450 = R1,700$$

Therefore, the total for the 4-bed room (C1) is R1,700.

If 20 guests are booked in 2-bed rooms and 16 guests in 4-bed rooms, the ratio can be calculated as follows:

ext{Ratio} = rac{20 ext{ guests}}{16 ext{ guests}} = rac{5}{4}

Thus, the simplified ratio is 5:4.

The total cost for cancellation includes:

1. For the person who cancelled at 11:00:

   • Meal refund = R450
   • Accommodation refund = R782.61 (calculated earlier) Total for one = R450 + R782.61 = R1,232.61

2. For the person who cancelled at 15:00:

   • Meal refund = R450
   • Accommodation refund = R900 for necessary calculations (for indirect refund)

Thus, the total refund:

$$ext{Total refund} = R1,232.61 + R1,350 = R2,582.61,$$

which is greater than R2,500. Therefore, the statement is NOT CORRECT.