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Macashisa lives in Pinetown. He sells duvet sets in a rented shop in town. The rent for the shop is R2500 per month. He buys duvet sets at the Oriental Plaza in Durban. A taxi from Pinetown to Durban costs R36 per single trip. He buys the duvet sets at R180 each and sells them at R350. Macashisa's wife Sthobile works at the shop and she gets a salary of R3200 per month. Macashisa saves R3000 per month.

Table 1: Macashisa's expenses for the month of May 2023
\begin{tabular}{|l|l|}
\hline
Item Description & Expenses \\
\hline
Rent & A \\
\hline
Transport (Return trip) & B \\
\hline
Cost price of 50 duvet sets & C \\
\hline
Sthobile's salary & D \\
\hline
Total Expenses & E \\
\hline
\end{tabular}

4.1.1 Calculate the missing values of [tex]$A, B, C, D,$[/tex] and [tex]$E$[/tex].

4.1.2 Calculate Macashisa's income if he sold 50 duvet sets.

4.1.3 Calculate Macashisa's profit (only from the sale of duvet sets) if he sold 50 duvet sets.

Sagot :

GinnyAnswer
Alright, let's solve the given questions step-by-step.

### 4.1.1 Calculate the missing values of [tex]\( A, B, C, D \)[/tex] and [tex]\( E \)[/tex].

1. Rent:
- [tex]\( A = \text{R}2500 \)[/tex]

2. Transport (Return trip):
- The cost of a single trip from Pinetown to Durban is R36.
- Since it is a return trip, you need to account for two trips.
- [tex]\( B = 36 \times 2 = \text{R}72 \)[/tex]

3. Cost price of 50 duvet sets:
- The cost of each duvet set is R180.
- For 50 duvet sets:
- [tex]\( C = 180 \times 50 = \text{R}9000 \)[/tex]

4. Sthobile's salary:
- [tex]\( D = \text{R}3200 \)[/tex]

5. Total Expenses:
- Total expenses [tex]\( E \)[/tex] is the sum of all individual expenses:
- [tex]\( E = A + B + C + D = 2500 + 72 + 9000 + 3200 = \text{R}14772 \)[/tex]

So, the table with the missing values filled in would be:

[tex]\[ \begin{tabular}{|l|l|} \hline \text{Item Description} & \text{Expenses} \\ \hline \text{Rent} & \text{R}2500 \\ \hline \text{Transport (Return trip)} & \text{R}72 \\ \hline \text{Cost price of 50 duvet sets} & \text{R}9000 \\ \hline \text{Sthobile's salary} & \text{R}3200 \\ \hline \text{Total Expenses} & \text{R}14772 \\ \hline \end{tabular} \][/tex]

### 4.1.2 Calculate Macashisa's income if he sold 50 duvet sets.

1. The selling price of each duvet set is R350.
2. For 50 duvet sets:
- Income = [tex]\( \text{duvet selling price} \times \text{number of duvets sold} \)[/tex]
- Income = [tex]\( 350 \times 50 = \text{R}17500 \)[/tex]

So, Macashisa's income from selling 50 duvet sets is [tex]\( \text{R}17500 \)[/tex].

### 4.1.3 Calculate Macashisa's profit (Only from the sale of duvet sets) if he sold 50 duvet sets.

1. Profit is calculated as the difference between the income from the sale of the duvets and the cost price of those duvets.
2. The cost price for 50 duvet sets was [tex]\( \text{R}9000 \)[/tex], and the income from selling them was [tex]\( \text{R}17500 \)[/tex].
3. Therefore, the profit is:
- Profit = [tex]\( \text{Income} - \text{Cost Price} = 17500 - 9000 = \text{R}8500 \)[/tex]

So, Macashisa's profit from selling 50 duvet sets is [tex]\( \text{R}8500 \)[/tex].
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