Question 2 0s marks 2.1 One of the major sources of revenue for the government is personal income tax. The tax table for $$ 2021 / 2022 $$ is given on ANNEXURE $$ B $$. $$ \begin{array}{l} ext { Lesego, a } 57 ext {-year-old gentleman, received an average monthly taxable income of } \ ext { R4s } 308,50 ext { for the } 2017 / 2018 ext { tax year and he is not a member of a medical aid } \ ext { scheme. } \ \begin{array}{ll}2.11 ext { Whte the tax bracket for Lesego. } \ 2.12 ext { Determine how much tax (tax payable) Lesego has to pay every month. (2) (6) }\end{array}\end{array} . \begin{array}{l} ext { (2) }\end{array} $$

Question

Question 2 0s marks 2.1 One of the major sources of revenue for the government is personal income tax. The tax table for $$ 2021 / 2022 $$ is given on ANNEXURE $$ B $$. $$ \begin{array}{l}	ext { Lesego, a } 57 	ext {-year-old gentleman, received an average monthly taxable income of } \ 	ext { R4s } 308,50 	ext { for the } 2017 / 2018 	ext { tax year and he is not a member of a medical aid } \ 	ext { scheme. } \ \begin{array}{ll}2.11 	ext { Whte the tax bracket for Lesego. } \ 2.12 	ext { Determine how much tax (tax payable) Lesego has to pay every month. (2) (6) }\end{array}\end{array} . \begin{array}{l}	ext { (2) }\end{array} $$

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To solve the problem, we need to follow these steps:

1. **Extract Known Conditions:**
   - Lesego's average monthly taxable income: R4,308.50
   - Tax year: 2017/2018
   - Age: 57 years old
   - Not a member of a medical aid scheme.

2. **Determine the Tax Bracket:**
   - We need to refer to the tax table for the 2017/2018 tax year (not provided in the prompt, but typically includes income ranges and corresponding tax rates).
   - We will assume a hypothetical tax table for the sake of this example.

3. **Calculate Monthly Tax Payable:**
   - Once we identify the tax bracket, we will apply the relevant tax rate to Lesego's monthly income to determine the tax payable.

### Step 1: Determine the Tax Bracket

Assuming a hypothetical tax table for the 2017/2018 tax year:

- **Tax Bracket Example:**
  - Up to R195,850: 18% of taxable income
  - R195,851 to R305,850: R35,253 + 26% of taxable income above R195,850
  - R305,851 to R423,300: R63,753 + 31% of taxable income above R305,850
  - (and so on...)

Given Lesego's annual income:
$$
\text{Annual Income} = R4,308.50 \times 12
$$

### Step 2: Calculate Annual Income

Let's calculate Lesego's annual income first:

$$
\text{Annual Income} = R4,308.50 \times 12
$$

Now, I will calculate this value.
Calculate the value by following steps:
- step0: Calculate:
  $$4308.5\times 12$$
- step1: Multiply the numbers:
  $$51702$$
Lesego's annual income is R51,702.

### Step 3: Determine the Tax Bracket

Now, we will determine which tax bracket Lesego falls into based on the hypothetical tax table:

- **Tax Bracket Example:**
  - Up to R195,850: 18% of taxable income

Since R51,702 is below R195,850, Lesego falls into the first tax bracket.

### Step 4: Calculate Monthly Tax Payable

The tax payable for Lesego can be calculated as follows:

$$
\text{Tax Payable} = 0.18 \times \text{Annual Income}
$$

Now, we will calculate the annual tax payable and then divide it by 12 to find the monthly tax payable.

Let's calculate the annual tax payable first:

$$
\text{Annual Tax Payable} = 0.18 \times 51702
$$

Then, we will find the monthly tax payable:

$$
\text{Monthly Tax Payable} = \frac{\text{Annual Tax Payable}}{12}
$$

I will perform these calculations now.
Calculate the value by following steps:
- step0: Calculate:
  $$0.18\times 51702$$
- step1: Multiply the numbers:
  $$9306.36$$
Calculate or simplify the expression $$ (0.18 * 51702) / 12 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{\left(0.18\times 51702\right)}{12}$$
- step1: Remove the parentheses:
  $$\frac{0.18\times 51702}{12}$$
- step2: Multiply the numbers:
  $$\frac{9306.36}{12}$$
- step3: Convert the expressions:
  $$\frac{\frac{232659}{25}}{12}$$
- step4: Multiply by the reciprocal:
  $$\frac{232659}{25}\times \frac{1}{12}$$
- step5: Reduce the numbers:
  $$\frac{77553}{25}\times \frac{1}{4}$$
- step6: Multiply the fractions:
  $$\frac{77553}{25\times 4}$$
- step7: Multiply:
  $$\frac{77553}{100}$$
### Step 5: Calculate Annual and Monthly Tax Payable

1. **Annual Tax Payable:**
   $$
\text{Annual Tax Payable} = R9,306.36
   $$

2. **Monthly Tax Payable:**
   $$
\text{Monthly Tax Payable} = R775.53
   $$

### Summary of Results

- **Tax Bracket for Lesego:** Up to R195,850 (18% tax rate).
- **Monthly Tax Payable:** R775.53.

This concludes the solution to the problem. If you have any further questions or need additional assistance, feel free to ask!
Lesego's tax bracket is up to R195,850 at 18% tax rate. He has to pay R775.53 in tax every month.

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