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Shamila, a teacher at a local high school, is going on retirement - NSC Mathematical Literacy - Question 5 - 2022 - Paper 1

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Shamila, a teacher at a local high school, is going on retirement. The estimated value of her full pension fund benefit is R3 457 920.00. Option 1: Withdraw a third... show full transcript

Worked Solution & Example Answer:Shamila, a teacher at a local high school, is going on retirement - NSC Mathematical Literacy - Question 5 - 2022 - Paper 1

Step 1

Write out Shamila's full pension fund benefit in words.

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Answer

Shamila's full pension fund benefit is Three million, four hundred fifty-seven thousand, nine hundred and twenty rand.

Step 2

Determine the amount of money that Shamila can withdraw if she chooses Option 1.

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Answer

The amount Shamila can withdraw is calculated as follows:

rac{1}{3} imes R3,457,920 = R1,152,640

Step 3

Verify, showing ALL calculations, whether her statement is CORRECT.

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Answer

To verify if her statement is correct:

  1. Calculate tax for the pension fund of R3,457,920 using the tax brackets:
    • Income from R0 to R1,500,000 is taxed at R130,500 plus 36% for the amount above R1,050,000.
    For her figure: Tax = R130,500 + 36 rac{ imes(R3,457,920 - 1,050,000)}{1} = R130,500 + 36 rac{ imes(R2,407,920)}{1} = R130,500 + R866,821.20 = R997,321.20 ThistotalislessthanR1,000,000,thusherstatementisnotcorrect.This total is less than R1,000,000, thus her statement is not correct.

Step 4

Determine, to the nearest thousand rand, the amount that her daughter will borrow.

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Answer

The amount that Suraya will borrow is determined by dividing the pension fund value by the ratio:

Loan Amount = rac{R3,457,920}{9.9789} \\ = R349,999.89 \\ ext{Rounded to the nearest thousand: } R350,000

Step 5

Determine the total amount she will have to repay after three years.

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Answer

Using the simple interest formula, the total repayment amount after three years at an interest rate of 7.8%:

ext{Total Amount} = ext{Principal} + ext{Interest} \ = R350,000 + igg(R350,000 imes rac{7.8}{100} imes 3igg) \\ = R350,000 + R81,900 \\ = R431,900

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