Viljoen plans to buy a new luggage bag to carry luggage during trips. He studied TWO advertisements for bag…

Question

Viljoen plans to buy a new luggage bag to carry luggage during trips. He studied TWO advertisements for bag sets as shown in TABLE 1 below.

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here are the solutions for questions 4.1 and 4.2:

4.1.1 The abbreviation "VAT" stands for Value Added Tax.

4.1.2 Calculate the total VAT charged on the Impala bag.

Identify the selling price (VAT included) and the VAT rate.
Selling Price (VAT included) = R 1 599,00
VAT rate = 15% = 0.15
Calculate the price before VAT.
Let $P_{\text{excl}}$ be the price exclusive of VAT.
$P_{\text{incl}} = P_{\text{excl}} \times (1 + \text{VAT rate})$ $1599 = P_{\text{excl}} \times (1 + 0.15)$ $1599 = P_{\text{excl}} \times 1.15$ $P_{\text{excl}} = \frac{1599}{1.15}$ $P_{\text{excl}} = 1390.4347... \approx \text{R } 1390.43$
Calculate the total VAT charged.
$\text{VAT amount} = P_{\text{incl}} - P_{\text{excl}}$ $\text{VAT amount} = \text{R } 1599.00 - \text{R } 1390.43$ $\text{VAT amount} = \text{R } 208.57$
The total VAT charged on the Impala bag is $\boxed{\text{R 208.57}}$ .

4.1.3 When a price is VAT-exclusive, it means that the Value Added Tax (VAT) has not yet been added to the price. The customer will need to pay the listed price plus the applicable VAT.

4.2 Calculate how many tins of Nestlé coffee can be packed inside the cardboard box.
Identify the dimensions of the cardboard box and the coffee tin.
Cardboard box: Length = 500 mm, Width = 300 mm, Height = 240 mm.
Coffee tin: Diameter = 100 mm, Height = 120 mm.
Calculate how many tins fit along the length of the box.
$\text{Tins along length} = \frac{\text{Box Length}}{\text{Tin Diameter}} = \frac{500 \text{ mm}}{100 \text{ mm}} = 5 \text{ tins}$
Calculate how many tins fit along the width of the box.
$\text{Tins along width} = \frac{\text{Box Width}}{\text{Tin Diameter}} = \frac{300 \text{ mm}}{100 \text{ mm}} = 3 \text{ tins}$
Calculate how many layers of tins fit along the height of the box.
$\text{Layers along height} = \frac{\text{Box Height}}{\text{Tin Height}} = \frac{240 \text{ mm}}{120 \text{ mm}} = 2 \text{ layers}$
Calculate the total number of tins.
$\text{Total tins} = (\text{Tins along length}) \times (\text{Tins along width}) \times (\text{Layers along height})$ $\text{Total tins} = 5 \times 3 \times 2$ $\text{Total tins} = 30 \text{ tins}$
Mr Maxwell Luks can pack $\boxed{\text{30 tins}}$ of Nestlé coffee inside the cardboard box.

Viljoen plans to buy a new luggage bag to carry luggage during trips. He studied TWO advertisements for bag sets as shown in TABLE 1 below.

Answer

Step-by-step solution

Identify the selling price (VAT included) and the VAT rate.

Calculate the price before VAT.

Calculate the total VAT charged.

Identify the dimensions of the cardboard box and the coffee tin.

Calculate how many tins fit along the length of the box.

Calculate how many tins fit along the width of the box.

Calculate how many layers of tins fit along the height of the box.

Calculate the total number of tins.

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