2 Siyabonga gee $$ 12 \% $$ van sy weeklikse loon van R784 vir sy ma om met die kruideniersware en die huishoudelike uitgawes te help. 2.1 Bereken hoeveel Siyabonga vir sy ma gee. 2.2 Hoeveel geld gee Siyabonga vir sy ma in 'n maand met vier weke? 3 'n Vervoermaatskappy het 'n inkomste van R8 923 815,22. Wat sal die wins of verlies wees as die maatskappy die volgende uitgawes moet betaal? 3.1 R7 598 736,93 3.2 R9 000 123,45 4 Bereken die persentasie wins of verlies vir elk van die vrae in Vraag 3 hierbo. 5 Great Furnishers het 'n uitverkoping van $$ 21 \% $$ op alle voorraad. Die oorspronklike verkoopspryse was: rusbank - R3 999 koffietafel - R1 179 plasma TV - R8 995 skottelgoedwasser - R4 325 Die oorspronklike kospryse was: rusbank - R1 599 koffietafel - R829 plasma TV - R4 950 skottelgoedwasser - R2 115

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Let's solve the problems step by step.

### 2.1 Calculate how much Siyabonga gives to his mother.

Siyabonga gives $$ 12\% $$ of his weekly salary of R784 to his mother.

To find this amount, we can use the formula:
$$
\text{Amount} = \text{Percentage} \times \text{Total}
$$
Where:
- Percentage = $$ 12\% = 0.12 $$
- Total = R784

Calculating the amount:
$$
\text{Amount} = 0.12 \times 784
$$

### 2.2 Calculate how much Siyabonga gives to his mother in a month with four weeks.

To find the monthly amount, we multiply the weekly amount by 4:
$$
\text{Monthly Amount} = \text{Weekly Amount} \times 4
$$

Now, let's perform the calculations for both parts.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(0.12\times 784\right)\times 4$$
- step1: Remove the parentheses:
  $$0.12\times 784\times 4$$
- step2: Multiply the terms:
  $$94.08\times 4$$
- step3: Multiply the numbers:
  $$376.32$$
Calculate or simplify the expression $$ 0.12 * 784 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$0.12\times 784$$
- step1: Multiply the numbers:
  $$94.08$$
### 2.1 Amount Siyabonga gives to his mother:
Siyabonga gives R94.08 to his mother weekly.

### 2.2 Amount Siyabonga gives to his mother in a month:
In a month with four weeks, Siyabonga gives R376.32 to his mother.

---

### 3.1 Calculate the profit or loss for the company with expenses of R7,598,736.93.

To find the profit or loss, we subtract the expenses from the income:
$$
\text{Profit/Loss} = \text{Income} - \text{Expenses}
$$
Where:
- Income = R8,923,815.22
- Expenses = R7,598,736.93

### 3.2 Calculate the profit or loss for the company with expenses of R9,000,123.45.

Using the same formula:
$$
\text{Profit/Loss} = \text{Income} - \text{Expenses}
$$
Where:
- Expenses = R9,000,123.45

Let's perform these calculations.
Calculate the value by following steps:
- step0: Calculate:
  $$8923815.22-7598736.93$$
- step1: Subtract the numbers:
  $$1325078.29$$
Calculate or simplify the expression $$ 8923815.22 - 9000123.45 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$8923815.22-9000123.45$$
- step1: Subtract the numbers:
  $$-76308.23$$
### 3.1 Profit or loss with expenses of R7,598,736.93:
The company has a profit of R1,325,078.29.

### 3.2 Profit or loss with expenses of R9,000,123.45:
The company incurs a loss of R76,308.23.

---

### 4 Calculate the percentage profit or loss for each case in Question 3.

The formula for percentage profit or loss is:
$$
\text{Percentage} = \left( \frac{\text{Profit or Loss}}{\text{Income}} \right) \times 100
$$

#### For the first case (profit of R1,325,078.29):
$$
\text{Percentage Profit} = \left( \frac{1325078.29}{8923815.22} \right) \times 100
$$

#### For the second case (loss of R76,308.23):
$$
\text{Percentage Loss} = \left( \frac{-76308.23}{8923815.22} \right) \times 100
$$

Let's perform these calculations.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{1325078.29}{8923815.22}\right)\times 100$$
- step1: Divide the terms:
  $$\frac{132507829}{892381522}\times 100$$
- step2: Reduce the numbers:
  $$\frac{132507829}{446190761}\times 50$$
- step3: Multiply:
  $$\frac{132507829\times 50}{446190761}$$
- step4: Multiply:
  $$\frac{6625391450}{446190761}$$
Calculate or simplify the expression $$ (-76308.23 / 8923815.22) * 100 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{-76308.23}{8923815.22}\right)\times 100$$
- step1: Divide the terms:
  $$\left(-\frac{7630823}{892381522}\right)\times 100$$
- step2: Remove the parentheses:
  $$-\frac{7630823}{892381522}\times 100$$
- step3: Reduce the numbers:
  $$-\frac{7630823}{446190761}\times 50$$
- step4: Multiply:
  $$-\frac{7630823\times 50}{446190761}$$
- step5: Multiply:
  $$-\frac{381541150}{446190761}$$
### 4.1 Percentage profit for the first case:
The percentage profit is approximately $$ 14.85\% $$.

### 4.2 Percentage loss for the second case:
The percentage loss is approximately $$ -0.86\% $$.

---

### 5 Calculate the sale prices after a $$ 21\% $$ discount and the profit margins for each item.

The sale price after a discount can be calculated using the formula:
$$
\text{Sale Price} = \text{Original Price} \times (1 - \text{Discount Rate})
$$
Where:
- Discount Rate = $$ 21\% = 0.21 $$

The profit margin can be calculated as:
$$
\text{Profit Margin} = \text{Sale Price} - \text{Cost Price}
$$

Let's calculate the sale prices and profit margins for each item:

1. **Sofa**
   - Original Price: R3,999
   - Cost Price: R1,599

2. **Coffee Table**
   - Original Price: R1,179
   - Cost Price: R829

3. **Plasma TV**
   - Original Price: R8,995
   - Cost Price: R4,950

4. **Dishwasher**
   - Original Price: R4,325
   - Cost Price: R2,115

Now, let's perform the calculations for the sale prices and profit margins.
Calculate the value by following steps:
- step0: Calculate:
  $$8995\left(1-0.21\right)$$
- step1: Subtract the numbers:
  $$8995\times 0.79$$
- step2: Multiply the numbers:
  $$7106.05$$
Calculate or simplify the expression $$ 3999 * (1 - 0.21) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$3999\left(1-0.21\right)$$
- step1: Subtract the numbers:
  $$3999\times 0.79$$
- step2: Multiply the numbers:
  $$3159.21$$
Calculate or simplify the expression $$ 1179 * (1 - 0.21) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$1179\left(1-0.21\right)$$
- step1: Subtract the numbers:
  $$1179\times 0.79$$
- step2: Multiply the numbers:
  $$931.41$$
Calculate or simplify the expression $$ 4325 * (1 - 0.21) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$4325\left(1-0.21\right)$$
- step1: Subtract the numbers:
  $$4325\times 0.79$$
- step2: Multiply the numbers:
  $$3416.75$$
Calculate or simplify the expression $$ 3416.75 - 2115 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$3416.75-2115$$
- step1: Subtract the numbers:
  $$1301.75$$
Calculate or simplify the expression $$ 7106.05 - 4950 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$7106.05-4950$$
- step1: Subtract the numbers:
  $$2156.05$$
Calculate or simplify the expression $$ 931.41 - 829 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$931.41-829$$
- step1: Subtract the numbers:
  $$102.41$$
Calculate or simplify the expression $$ 3159.21 - 1599 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$3159.21-1599$$
- step1: Subtract the numbers:
  $$1560.21$$
### 5 Sale Prices and Profit Margins

1. **Sofa**
   - Sale Price: R3,159.21
   - Profit Margin: R1,560.21

2. **Coffee Table**
   - Sale Price: R931.41
   - Profit Margin: R102.41

3. **Plasma TV**
   - Sale Price: R7,106.05
   - Profit Margin: R2,156.05

4. **Dishwasher**
   - Sale Price: R3,416.75
   - Profit Margin: R1,301.75

---

### Summary of Results:
- **Siyabonga's Contribution:**
  - Weekly: R94.08
  - Monthly: R376.32

- **Company Profit/Loss:**
  - Profit with R7,598,736.93 expenses: R1,325,078.29
  - Loss with R9,000,123.45 expenses: R76,308.23

- **Percentage Profit/Loss:**
  - Profit Percentage: $$ 14.85\% $$
  - Loss Percentage: $$ -0.86\% $$

- **Great Furnishers Sale Prices and Profit Margins:**
  - Sofa: Sale Price R3,159.21, Profit R1,560.21
  - Coffee Table: Sale Price R931.41, Profit R102.41
  - Plasma TV: Sale Price R7,106.05, Profit R2,156.05
  - Dishwasher: Sale Price R3,416.75, Profit R1,301.75
- **Siyabonga's Weekly Contribution:** R94.08 - **Siyabonga's Monthly Contribution:** R376.32 - **Company Profit/Loss:** - **With Expenses of R7,598,736.93:** R1,325,078.29 Profit - **With Expenses of R9,000,123.45:** R76,308.23 Loss - **Percentage Profit/Loss:** - **First Case:** 14.85% Profit - **Second Case:** -0.86% Loss - **Great Furnishers Sale Prices and Profit Margins:** - **Sofa:** Sale Price R3,159.21, Profit R1,560.21 - **Coffee Table:** Sale Price R931.41, Profit R102.41 - **Plasma TV:** Sale Price R7,106.05, Profit R2,156.05 - **Dishwasher:** Sale Price R3,416.75, Profit R1,301.75

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