Question 1193838: Four apartments in a small block of flats belong to three owners. Each apartment has a representative in the body corporate that runs the affairs of this block of flats. One of the responsibility of the body corporate is to calculate the share that each owner should pay towards the various expenses. They decided the owner will pay a share that is in proportion to the floor area of their apartments. The respective floor areas are as follows:
Flat 1 =200meter squared, flat 2 & 3 = 350 meter squared, flat 4 = 450 meter squared. The body corporate charges a monthly levy to each owner to cover all expenses:
Average monthly water bill is R680, average monthly refusal is R330, average monthly sewerage is R480, Annual rates and taxes is R44600, Average annual maintenance is R2400.
1.1.Calculate the total monthly expenses for the body corporate.
1.2. calculate the amount that each owner must pay towards the monthly expenses.
1.3. the committee decides to pay the gardener, who works once a week, out of maintenance money R300 per day and give Him an annual bonus of R3000.
1.3.1. what is the total wage of the gardener per year?
1.3.2. what is the ratio of the gardener 's total wage to the average annual maintenance?
Answer by parmen(42)   (Show Source):
You can put this solution on YOUR website! ### 1.1. Total Monthly Expenses for the Body Corporate
We first calculate the total monthly expenses.
#### Monthly Expenses:
1. **Water bill**: R680
2. **Refuse removal**: R330
3. **Sewerage**: R480
4. **Annual rates and taxes**: \( \frac{R44600}{12} = R3716.67 \)
5. **Annual maintenance**: \( \frac{R2400}{12} = R200 \)
\[
\text{Total Monthly Expenses} = 680 + 330 + 480 + 3716.67 + 200 = R5406.67
\]
---
### 1.2. Amount Each Owner Must Pay Towards Monthly Expenses
The share of expenses is proportional to the floor area of each owner's apartments.
#### Floor Areas:
1. **Flat 1**: 200 m²
2. **Flat 2 & 3**: \( 350 + 350 = 700 \, \text{m²} \)
3. **Flat 4**: 450 m²
#### Total Floor Area:
\[
\text{Total Area} = 200 + 700 + 450 = 1350 \, \text{m²}
\]
#### Proportion of Floor Area:
1. Owner of Flat 1: \( \frac{200}{1350} \)
2. Owner of Flats 2 & 3: \( \frac{700}{1350} \)
3. Owner of Flat 4: \( \frac{450}{1350} \)
#### Monthly Share:
\[
\text{Owner's Share} = \text{Total Monthly Expenses} \times \text{Proportion of Floor Area}
\]
1. **Flat 1**:
\[
R5406.67 \times \frac{200}{1350} \approx R800.99
\]
2. **Flat 2 & 3**:
\[
R5406.67 \times \frac{700}{1350} \approx R2803.45
\]
3. **Flat 4**:
\[
R5406.67 \times \frac{450}{1350} \approx R1802.23
\]
---
### 1.3. Gardener's Wage and Ratio to Annual Maintenance
#### 1.3.1. Total Wage of the Gardener Per Year
The gardener works once a week and is paid R300 per day. There are 52 weeks in a year, so:
\[
\text{Weekly Wage} = R300
\]
\[
\text{Annual Wage} = R300 \times 52 + R3000 \, (\text{annual bonus}) = R15600 + R3000 = R18600
\]
---
#### 1.3.2. Ratio of Gardener's Wage to Average Annual Maintenance
The annual maintenance is R2400. The ratio is:
\[
\text{Ratio} = \frac{\text{Gardener's Wage}}{\text{Annual Maintenance}} = \frac{18600}{2400} = 7.75 : 1
\]
---
### Final Summary:
1. **Total Monthly Expenses**: \( R5406.67 \)
2. **Monthly Share**:
- Flat 1: \( R800.99 \)
- Flats 2 & 3: \( R2803.45 \)
- Flat 4: \( R1802.23 \)
3. **Gardener's Total Wage Per Year**: \( R18600 \)
4. **Ratio of Gardener's Wage to Annual Maintenance**: \( 7.75 : 1 \)
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