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Eleanor has a gross income of €38 500 for the year - Junior Cycle Mathematics - Question 3 - 2015

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Eleanor has a gross income of €38 500 for the year. She has an annual tax credit of €3300. The standard rate cut-off point is €33 800. The standard rate of income ta... show full transcript

Worked Solution & Example Answer:Eleanor has a gross income of €38 500 for the year - Junior Cycle Mathematics - Question 3 - 2015

Step 1

Find Eleanor’s net income for the year (i.e. after tax is paid)

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Answer

To determine Eleanor's net income, we need to calculate her gross tax based on her income above the standard rate cut-off point.

  1. Calculate Income Subject to Tax:

    • Gross income: €38,500

    • Standard rate cut-off: €33,800

    • Income taxed at standard rate (20%):

      33,800imes0.20=6,760€33,800 imes 0.20 = €6,760
  2. Calculate Income Subject to Higher Rate:

    • Income over standard cut-off:

      38,50033,800=4,700€38,500 - €33,800 = €4,700
    • Tax at higher rate (40%):

      4,700imes0.40=1,880€4,700 imes 0.40 = €1,880
  3. Calculate Total Gross Tax:

    • Total Gross Tax:

      6,760+1,880=8,640€6,760 + €1,880 = €8,640
  4. Apply Tax Credit:

    • Annual Tax Credit: €3,300

    • Net Tax:

      8,6403,300=5,340€8,640 - €3,300 = €5,340
  5. Calculate Net Income:

    • Net Income:

      38,5005,340=33,160€38,500 - €5,340 = €33,160

Step 2

Find Eleanor’s new gross income for the year

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Answer

To find Eleanor's new gross income after her salary increase, we need to analyze the increase based on her new net income of €34,780.

  1. Calculate Increase in Net Income:

    • Previous Net Income: €33,160

    • New Net Income: €34,780

    • Increase:

      34,78033,160=1,620€34,780 - €33,160 = €1,620
  2. Calculate Percentage Increase in Gross Income:

    • Let the increase in gross income be represented by 'x'.

    • The increase in net income represents 60% of the increase in gross income:

      rac{€1,620}{60} = €27
    • Therefore, a 100% increase in gross income would be:

      27imes100=2,700€27 imes 100 = €2,700
  3. Calculate New Gross Income:

    • Previous Gross Income: €38,500

    • New Gross Income:

      38,500+2,700=41,200€38,500 + €2,700 = €41,200

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