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TABLE 2 shows data for South African assessed taxpayers for the 2018 tax year - NSC Mathematical Literacy - Question 3 - 2021 - Paper 2

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TABLE 2 shows data for South African assessed taxpayers for the 2018 tax year. TABLE 2: TAXPAYERS BY INCOME GROUP AS ASSESSED FOR 2018 Taxable income group Taxpaye... show full transcript

Worked Solution & Example Answer:TABLE 2 shows data for South African assessed taxpayers for the 2018 tax year - NSC Mathematical Literacy - Question 3 - 2021 - Paper 2

Step 1

Calculate missing value C.

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Answer

To find the missing value C, we add up all the taxable income groups:

C=16302+15030+577196+292017+783526=1656072C = 16 302 + 15 030 + 577 196 + 292 017 + 783 526 = 1 656 072

Thus, C = 1 656 072.

Step 2

Determine, to THREE decimal places, the probability of randomly choosing an assessed taxpayer if South Africa's population was 57,73 million in 2018.

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Answer

The probability is calculated as:

P=4917029577300000,085P = \frac{4 917 029}{57 730 000} \approx 0,085

Thus, rounded to three decimal places, the probability = 0.085.

Step 3

Calculate, in rand, the mean monthly taxable income per taxpayer in the R70 001 to R350 000 taxable income group.

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Answer

The mean taxable income per taxpayer can be calculated as:

Mean Monthly Income=5771960000002856843=R202096,397\text{Mean Monthly Income} = \frac{577 196 000 000}{2 856 843} = R202 096,397

Thus, the monthly taxable income per taxpayer is approximately R202 096,40.

Step 4

Explain, showing calculations, how this percentage was obtained.

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Answer

For the taxable income group R1 to R70 000, the tax assessed is 0.

To find the percentage:

Percentage=16356199×100=0,00449%\text{Percentage} = \frac{16}{356 199} \times 100 = 0,00449\%

Rounded, this is 0,0%.

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