Use the above data to answer the questions that follow - NSC Mathematical Literacy - Question 3 - 2021 - Paper 2

The probability of randomly selecting an assessed taxpayer can be calculated using the formula:

$P = \frac{\text{Number of taxpayers}}{\text{Population}}$

Substituting the values in:

$P = \frac{4 917 029}{57 730 000} \approx 0.085$

Thus, to three decimal places, the probability is approximately 0.085.

First, we find the total taxable income for the R70 001 to R350 000 income group:

$\text{Total taxable income} = 577 196 \text{ million}$

Next, we need to find the number of taxpayers in this group, which is 2 856 431. Therefore, the mean monthly taxable income per taxpayer can be calculated as follows:

$\text{Mean monthly taxable income} = \frac{577 196 \times 10^6}{2 856 431} \div 12$

Calculating this gives: $\text{Mean} \approx R 16 841.37$

To calculate the percentage for tax assessed for the R1 to R70 000 taxable income group, we take:

Total tax assessed for R1 to R70 000 = R16 million Total tax assessed = R356 199 million.

Using the formula for percentage:

$\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100$

We find: $\text{Percentage} = \frac{16}{356 199} \times 100 \approx 0.00449\%$

When rounded to one decimal place, this is 0.0%.