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Question 19M.3.HL.TZ0.3e.ii

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Date May 2019 Marks available [Maximum mark: 2] Reference code 19M.3.HL.TZ0.3e.ii
Level HL Paper 3 Time zone TZ0
Command term Calculate Question number e.ii Adapted from N/A
e.ii.
[Maximum mark: 2]
19M.3.HL.TZ0.3e.ii

Table 1 provides information about Fairland.

Table 1

Figure 6 illustrates Fairland’s demand (D) for and supply (S) of low-wage labour.

Figure 6

In order to raise the living standards of low-wage workers, the government of Fairland has decided to impose a minimum wage of $10 per hour.

The marginal rates of income tax in Fairland are given in Table 2.

Table 2

(e.ii)

Fred is a low-wage worker in Fairland. As a result of the minimum wage his income will increase from $15 000 per year to $19 000 per year.

Calculate how much additional income tax Fred will need to pay.

[2]

Markscheme

3000 × 10 % + 1000 × 20 %

Any valid working is sufficient for [1].

= $500

An answer of $500 or 500 without any working is sufficient for [1].

OR

Initial tax paid = 10 000 × 5 % + 5000 × 10 % = 1000

New tax paid = 10 000 × 5 % + 8000 × 10 % + 1000 × 20 % = 1500

Any valid working is sufficient for [1].

Change in tax paid = 1500 − 1000

= $500

An answer of $500 or 500 without any working is sufficient for [1].

NB Responses which apply the bands such that, for example, 10% is charged on $7 999 rather than $8 000 may be fully rewarded.

 

Examiners report

Although there were many accurate responses, a large number of candidates applied a single “rate of income tax” to each salary, resulting in an answer of $3800 − $1500 = $2300.