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### 1.1 Below you will find a table showing some of the possible tools, equipment, and prices as obtained from a hardware store to build the circuit. The last two columns indicate the number of items required and the cost.

\begin{tabular}{|c|c|c|c|c|}
\hline Item No. & Tool / Equipment & \begin{tabular}{l}
Price per item \\
(Including 15\% VAT)
\end{tabular} & \begin{tabular}{l}
Number \\
required
\end{tabular} & Cost \\
\hline 1 & Glue Gun & [tex]$R 160$[/tex] & 5 & [tex]$R 800$[/tex] \\
\hline 2 & Glue sticks [tex]$1 kg$[/tex] & R 160 & 2 & [tex]$R 320$[/tex] \\
\hline 3 & \begin{tabular}{l}
Battery pack of 60 (Penonsing \\
batteries)
\end{tabular} & R 199 & 2 & [tex]$R 398$[/tex] \\
\hline 4 & Battery holder & R 12.88 & 60 & [tex]$R 772.80$[/tex] \\
\hline 5 & - & R 199 & 1 & [tex]$R 199$[/tex] \\
\hline 6 & Buzzer & [tex]$R 13.23$[/tex] & 20 & [tex]$R 264.60$[/tex] \\
\hline 7 & Connecting wire per [tex]$m$[/tex] & - & 20 & [tex]$R 51.80$[/tex] \\
\hline 8 & Resistor (pack of 10) & [tex]$R 7.62$[/tex] & 10 & [tex]$R 76.20$[/tex] \\
\hline 9 & Paint per litre & - & - & [tex]$R 477$[/tex] \\
\hline
\end{tabular}

Tasks:

a) Complete the table by calculating the missing values (amount and quantity where applicable).

b) What is the total cost of all the items?

c) How much VAT, at [tex]$15\%$[/tex], was paid in total?



Answer :

GinnyAnswer
Let's address each part of the question step by step.

### Part (a) Completing the Table

Let's complete the missing values in the table step-by-step:

#### Row 2: Glue sticks 1 kg
- [tex]\( \text{Number required} = 2 \)[/tex]
- [tex]\( \text{Price per item} = 160 \)[/tex]
- [tex]\( \text{Cost} = 2 \times 160 = 320 \)[/tex]

Therefore:
- Cost should be [tex]\( R 320 \)[/tex].

#### Row 3: Battery pack of 60 (Penonsing batteries)
- [tex]\( \text{Number required} = 2 \)[/tex]
- [tex]\( \text{Price per item} = 199 \)[/tex]
- [tex]\( \text{Cost} = 2 \times 199 = 398 \)[/tex]

Therefore:
- Cost should be [tex]\( R 398 \)[/tex].

#### Row 5: Unknown Item
- [tex]\( \text{Number required} = 1 \)[/tex]
- [tex]\( \text{Price per item} = 199 \)[/tex]
- [tex]\( \text{Cost} = 199 \)[/tex]

Therefore:
- Cost should be [tex]\( R 199 \)[/tex].

#### Row 6: Buzzer
- [tex]\( \text{Number required} = 20 \)[/tex]
- [tex]\( \text{Price per item} = 13.23 \)[/tex]
- [tex]\( \text{Cost} = 20 \times 13.23 = 264.6 \)[/tex]

Therefore:
- Cost should be [tex]\( R 264.60 \)[/tex].

#### Row 7: Connecting wire per m
- [tex]\( \text{Number required} = 20 \)[/tex]
- [tex]\( \text{Price per item} = 0 \)[/tex] (It's unusual, but given explicitly as zero)
- [tex]\( \text{Cost} = 20 \times 0 = 0 \)[/tex]

Therefore:
- Cost should be [tex]\( R 0 \)[/tex].

#### Row 8: Resistor (pack of 10)
- [tex]\( \text{Number required} = 10 \)[/tex]
- [tex]\( \text{Price per item} = 7.62 \)[/tex]
- [tex]\( \text{Cost} = 10 \times 7.62 = 76.2 \)[/tex]

Therefore:
- Cost should be [tex]\( R 76.20 \)[/tex].

Here's the completed table:

[tex]\[ \begin{array}{|c|c|c|c|c|} \hline \text{Item No.} & \text{Tool / Equipment} & \begin{array}{c} \text{Price per item} \\ \text{(Including 15\% VAT)} \end{array} & \begin{array}{c} \text{Number} \\ \text{required} \end{array} & \text{Cost} \\ \hline 1 & \text{Glue Gun} & R 160 & 5 & R 800 \\ \hline 2 & \text{Glue sticks 1 kg} & R 160 & 2 & R 320 \\ \hline 3 & \begin{array}{c} \text{Battery pack of 60} \\ \text{(Penonsing batteries)} \end{array} & R 199 & 2 & R 398 \\ \hline 4 & \text{Eeztery holder} & R 12.88 & 60 & R 772.80 \\ \hline 5 & \text{Unknown Item} & R 199 & 1 & R 199 \\ \hline 6 & \text{Buzzer} & R 13.23 & 20 & R 264.60 \\ \hline 7 & \text{Connecting wire per m} & R 0 & 20 & R 0 \\ \hline 8 & \text{Resistor (pack of 10)} & R 7.62 & 10 & R 76.20 \\ \hline 9 & \text{Paint per litre} & & & R 477 \\ \hline \end{array} \][/tex]

### Part (b) Total Cost of All the Items

Sum up the costs of all items:

[tex]\[ 800 + 320 + 398 + 772.80 + 199 + 264.60 + 0 + 76.20 + 477 = 3307.60 \][/tex]

Therefore,
- The total cost of all the items is [tex]\( R 3307.60 \)[/tex].

### Part (c) Total VAT Paid

Calculate the VAT for each item and sum them up. Note that VAT is already included in the prices:

[tex]\[ \begin{align*} \text{VAT for Glue Gun} &= 800 \times 0.15 = 120 \\ \text{VAT for Glue sticks 1 kg} &= 320 \times 0.15 = 48 \\ \text{VAT for Battery pack of 60} &= 398 \times 0.15 = 59.70 \\ \text{VAT for Eeztery holder} &= 772.80 \times 0.15 = 115.92 \\ \text{VAT for Unknown Item} &= 199 \times 0.15 = 29.85 \\ \text{VAT for Buzzer} &= 264.60 \times 0.15 = 39.69 \\ \text{VAT for Connecting wire per m} &= 0 \times 0.15 = 0 \\ \text{VAT for Resistor (pack of 10)} &= 76.20 \times 0.15 = 11.43 \\ \text{VAT for Paint per litre} &= 477 \times 0.15 = 71.55 \\ \end{align*} \][/tex]

Summing these values:

[tex]\[ 120 + 48 + 59.70 + 115.92 + 29.85 + 39.69 + 0 + 11.43 + 71.55 = 496.14 \][/tex]

Therefore,
- The total VAT paid is [tex]\( R 496.14 \)[/tex].

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