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Mr Louw, aged 53, earned an annual taxable income of R495 602 for the year ending 28 February 2022 - NSC Mathematical Literacy - Question 4 - 2022 - Paper 1

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Mr Louw, aged 53, earned an annual taxable income of R495 602 for the year ending 28 February 2022. He does not contribute to any medical aid. Use the above informa... show full transcript

Worked Solution & Example Answer:Mr Louw, aged 53, earned an annual taxable income of R495 602 for the year ending 28 February 2022 - NSC Mathematical Literacy - Question 4 - 2022 - Paper 1

Step 1

4.1.1 Use the formula to calculate annual tax payable before the rebate

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Answer

To calculate Mr. Louw's annual tax before the rebate, we can use the formula:

extAnnualTaxPayable=R115762+36 ext{Annual Tax Payable} = R115 762 + 36\\% imes (R495 602 - R488 700)

Calculating the taxable income above the threshold:

R495602R488700=R6902R495 602 - R488 700 = R6 902

Now substituting back into the formula:

extAnnualTaxPayable=R115762+0.36imesR6902 ext{Annual Tax Payable} = R115 762 + 0.36 imes R6 902

Calculating further:

=R115762+R2477.72= R115 762 + R2 477.72

Thus, Mr. Louw's annual tax payable before the rebate is:

=R118239.72= R118 239.72

Step 2

4.1.2 Calculate monthly tax payable

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Answer

To find the monthly tax payable, we take the annual tax computed earlier and divide it by 12:

extMonthlyTaxPayable=R118239.7212=R9853.31 ext{Monthly Tax Payable} = \frac{R118 239.72}{12} = R9 853.31

Therefore, Mr. Louw's monthly tax payable is approximately R9 853.31.

Step 3

4.1.3 Write down the probability of selecting a monthly tax amount of R8 473 for a person over 75 years from this monthly tax table

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Answer

From the monthly deduction tax table (TABLE 5), we look at the category for individuals over 75 years. The monthly tax for this group includes various amounts. Considering the individual monthly amounts provided, if R8 473 is not listed as a possible monthly tax for a person over 75, the probability would be:

P(R8 473) = 0 ext{ (or 0\\%) since this amount does not appear in the table}

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