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Oisín earns €30 000 per year - Junior Cycle Mathematics - Question 6 - 2018

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Oisín earns €30 000 per year. He pays tax at 20%. (i) Work out Oisín’s gross tax per year. (ii) Oisín’s tax credits are €3300 per year. Work out his net pay per ye... show full transcript

Worked Solution & Example Answer:Oisín earns €30 000 per year - Junior Cycle Mathematics - Question 6 - 2018

Step 1

(i) Work out Oisín’s gross tax per year.

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Answer

To calculate Oisín's gross tax, we can use the following formula:

Gross Tax=Annual Income×Tax Rate\text{Gross Tax} = \text{Annual Income} \times \text{Tax Rate}

Given that Oisín's annual income is €30,000 and the tax rate is 20%, we have:

Gross Tax=30,000×0.20=6,000\text{Gross Tax} = 30{,}000 \times 0.20 = 6{,}000

Thus, Oisín’s gross tax per year is €6,000.

Step 2

(ii) Work out his net pay per year.

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Answer

To calculate Oisín's net pay, we first need to determine the tax owed after considering the tax credits:

  1. Calculate the total tax before credits:

    Total Tax=Gross Tax=6,000\text{Total Tax} = \text{Gross Tax} = 6{,}000
  2. Subtract the tax credits:

    Net Tax=Total TaxTax Credits=6,0003,300=2,700\text{Net Tax} = \text{Total Tax} - \text{Tax Credits} = 6{,}000 - 3{,}300 = 2{,}700
  3. Finally, find the net pay by subtracting the net tax from the gross income:

    Net Pay=30,0002,700=27,300\text{Net Pay} = 30{,}000 - 2{,}700 = 27{,}300

Therefore, Oisín's net pay per year is €27,300.

Step 3

Work out Aoife’s weekly pay after the pay rise.

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Answer

To determine Aoife's new weekly pay after her raise, we can utilize the following calculation:

  1. First, calculate the amount of the raise:

    Raise=Current Pay×Raise Rate=800×0.05=40\text{Raise} = \text{Current Pay} \times \text{Raise Rate} = 800 \times 0.05 = 40
  2. Then, add the raise to her current pay:

    New Pay=Current Pay+Raise=800+40=840\text{New Pay} = \text{Current Pay} + \text{Raise} = 800 + 40 = 840

Thus, Aoife’s weekly pay after the pay rise is €840.

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