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Calculate Regina's monthly taxable income and the total income tax charged on her monthly income.

Mathematics

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Step-by-step solution

4 steps

a) Calculate:

  1. Calculate Regina's monthly taxable income.

    Regina's monthly taxable income is the sum of her basic salary, house allowance, and commuter allowance.

    Taxable Income=Basic Salary+House Allowance+Commuter Allowance\text{Taxable Income} = \text{Basic Salary} + \text{House Allowance} + \text{Commuter Allowance} Taxable Income=Ksh 110,000+Ksh 30,000+Ksh 8,000\text{Taxable Income} = \text{Ksh } 110,000 + \text{Ksh } 30,000 + \text{Ksh } 8,000 Taxable Income=Ksh 148,000\text{Taxable Income} = \text{Ksh } 148,000
    • i) Regina's monthly taxable income. Ksh 148,000\boxed{\text{Ksh } 148,000}
  2. Calculate the gross tax for each income bracket.

    Regina's taxable income is Ksh 148,000. We apply the tax rates progressively:

    • First bracket (Ksh 0 - 24,000) at 10%:

      Tax1=24,000×10100=Ksh 2,400\text{Tax}_1 = 24,000 \times \frac{10}{100} = \text{Ksh } 2,400
    • Second bracket (Ksh 24,001 - 32,333) at 25%: The amount in this bracket is 32,333−24,000=Ksh 8,33332,333 - 24,000 = \text{Ksh } 8,333.

      Tax2=8,333×25100=Ksh 2,083.25\text{Tax}_2 = 8,333 \times \frac{25}{100} = \text{Ksh } 2,083.25
    • Third bracket (Ksh 32,334 - 500,000) at 30%: Regina's income falls into this bracket. The amount taxed in this bracket is her total taxable income minus the upper limit of the previous bracket: 148,000−32,333=Ksh 115,667148,000 - 32,333 = \text{Ksh } 115,667.

      Tax3=115,667×30100=Ksh 34,700.10\text{Tax}_3 = 115,667 \times \frac{30}{100} = \text{Ksh } 34,700.10
  3. Calculate the total gross tax.

    The total gross tax is the sum of the taxes from each bracket.

    Gross Tax=Tax1+Tax2+Tax3\text{Gross Tax} = \text{Tax}_1 + \text{Tax}_2 + \text{Tax}_3 Gross Tax=2,400+2,083.25+34,700.10=Ksh 39,183.35\text{Gross Tax} = 2,400 + 2,083.25 + 34,700.10 = \text{Ksh } 39,183.35
  4. Calculate the total income tax charged after relief.

    A tax relief of Ksh 2,400 is allowed per month.

    Total Income Tax Charged=Gross Tax−Tax Relief\text{Total Income Tax Charged} = \text{Gross Tax} - \text{Tax Relief} Total Income Tax Charged=39,183.35−2,400=Ksh 36,783.35\text{Total Income Tax Charged} = 39,183.35 - 2,400 = \text{Ksh } 36,783.35
    • ii) the total income tax charged on Regina's monthly income. Ksh 36,783.35\boxed{\text{Ksh } 36,783.35}

    2 zimekamilika. Zimebaki 3 leo — tuma inayofuata.

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