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Question 17 of 18 in Number 9

Number 9

4 marks · Hard

Maria earns $92,000 per year in Kalculus, where income tax is paid at 20% on the first $50,000 and 40% on any amount above $50,000.

Calculate:

(a)

How much income tax does Maria pay in a year?

[3 marks]
(b)

How much does she receive per month after tax is deducted? Give your answer to the nearest dollar.

[1 mark]

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

Show answer

(a) $22,800 USD

(b) $5,765 USD

Common mistakes: Applying 40% to whole salary; Forgetting tax is on amount above $50,000 only; Dividing yearly income incorrectly

Show mark scheme and worked solution

Marking points

M1 (a) · 1 mark · Works out 20% of 50000 and 40% of the remainder.

M2 (a) · 1 mark · Adds both tax components for total tax.

A1 (a) · 1 mark · Gives correct total tax: $22,800. (follow-through)

A2 (b) · 1 mark · Finds correct monthly 'after tax' amount, $5,765 (accept 5765 or $5,765, to nearest dollar). (follow-through)

Worked solution

a) Tax on first $50,000 at 20%:

Tax on remainder ($92,000 - $50,000 = $42,000) at 40%:

Total income tax:

b) Maria's annual income after tax:

Monthly after-tax income:

So, she receives $5,765 per month after tax (to nearest dollar).

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