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Determine the percentage of his gross income that goes to tax.

Mathematics

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2 parts
b

Shs.861,650\text{Shs.861,650}

c

27.94%27.94\%

Step-by-step solution

7 steps

Hapa kuna suluhisho la maswali yako:

Part a

Pata thamani ya Saa katika

I. Swiss Francs
II. Ugandan Shillings

Hakuna taarifa kuhusu "Saa" iliyotolewa katika swali. Kwa hivyo, sehemu hii ya swali haiwezi kujibiwa.

Part b

Shs.861,650\text{Shs.861,650}

Bainisha mapato halisi ya mwalimu (Net-income)

  1. Kokotoa posho zote za kila mwezi.

    • Posho ya ndoa: Shs.50,000
    • Maji na umeme: Shs.60,000
    • Posho ya nyumba: Shs.150,000
    • Posho ya matibabu (kwa mwaka Shs.300,000): Shs.300,00012=Shs.25,000\frac{\text{Shs.300,000}}{12} = \text{Shs.25,000}
    • Posho ya usafiri (kwa siku Shs.3,000, mwezi una siku 30): Shs.3,000×30=Shs.90,000\text{Shs.3,000} \times 30 = \text{Shs.90,000}
    • Malipo ya bima na misaada (kwa mwaka Shs.180,000): Shs.180,00012=Shs.15,000\frac{\text{Shs.180,000}}{12} = \text{Shs.15,000}
  2. Kokotoa jumla ya mapato ghafi ya kila mwezi.

    Jumla ya mapato ghafi ya kila mwezi = Mshahara ghafi + Posho zote

    Shs.760,000+Shs.50,000+Shs.60,000+Shs.150,000+Shs.25,000+Shs.90,000+Shs.15,000=Shs.1,150,000\text{Shs.760,000} + \text{Shs.50,000} + \text{Shs.60,000} + \text{Shs.150,000} + \text{Shs.25,000} + \text{Shs.90,000} + \text{Shs.15,000} = \text{Shs.1,150,000}
  3. Kokotoa kodi ya kila mwezi (PAYE) kulingana na viwango vya kodi.

    Kodi inakokotolewa kwa Shs.1,150,000:

    • Kiwango cha 1 (0-50,000): 5%5\% ya Shs.50,000 = Shs.2,500
    • Kiwango cha 2 (50,001-100,000): 9.5%9.5\% ya Shs.50,000 = Shs.4,750
    • Kiwango cha 3 (100,001-180,000): 15%15\% ya Shs.80,000 = Shs.12,000
    • Kiwango cha 4 (180,001-300,000): 18%18\% ya Shs.120,000 = Shs.21,600
    • Kiwango cha 5 (300,001-400,000): 23%23\% ya Shs.100,000 = Shs.23,000
    • Kiwango cha 6 (400,001-500,000): 30%30\% ya Shs.100,000 = Shs.30,000
    • Kiwango cha 7 (Zaidi ya 500,000): 35%35\% ya (Shs.1,150,000 - Shs.500,000) = 35%35\% ya Shs.650,000 = Shs.227,500
  4. Jumla ya kodi ya kila mwezi.

    Jumla ya kodi ya kila mwezi = 2,500+4,750+12,000+21,600+23,000+30,000+227,500=Shs.321,3502,500 + 4,750 + 12,000 + 21,600 + 23,000 + 30,000 + 227,500 = \text{Shs.321,350}

  5. Kokotoa posho ya familia.

    Posho ya familia ni kwa watoto watatu tu. Mwalimu ana watoto watano: wawili wenye umri wa miaka 0-10, wawili wenye umri wa miaka 10-15, na mmoja mwenye umri wa miaka 18. Ili kupata posho kubwa zaidi kwa watoto watatu, tunachagua watoto wawili wa miaka 0-10 na mtoto mmoja wa miaka 10-15.

    • Watoto 2 (0-10 miaka): 2×Shs.12,000=Shs.24,0002 \times \text{Shs.12,000} = \text{Shs.24,000}
    • Mtoto 1 (10-15 miaka): 1×Shs.9,000=Shs.9,0001 \times \text{Shs.9,000} = \text{Shs.9,000} Jumla ya posho ya familia = 24,000+9,000=Shs.33,00024,000 + 9,000 = \text{Shs.33,000}
  6. Kokotoa mapato halisi ya mwalimu.

    Mapato halisi = Jumla ya mapato ghafi ya kila mwezi - Jumla ya kodi ya kila mwezi + Posho ya familia

    Shs.1,150,000−Shs.321,350+Shs.33,000=Shs.828,650+Shs.33,000=Shs.861,650\text{Shs.1,150,000} - \text{Shs.321,350} + \text{Shs.33,000} = \text{Shs.828,650} + \text{Shs.33,000} = \boxed{\text{Shs.861,650}}

Part c

27.94%27.94\%

Bainisha asilimia ya mapato yake ghafi inayokwenda kwenye kodi.

  1. Kokotoa asilimia ya mapato ghafi inayokwenda kwenye kodi.

    Asilimia ya kodi = (Jumla ya kodi ya kila mweziJumla ya mapato ghafi ya kila mwezi)×100%\left( \frac{\text{Jumla ya kodi ya kila mwezi}}{\text{Jumla ya mapato ghafi ya kila mwezi}} \right) \times 100\%

    (Shs.321,350Shs.1,150,000)×100%=0.27943478×100%≈27.94%\left( \frac{\text{Shs.321,350}}{\text{Shs.1,150,000}} \right) \times 100\% = 0.27943478 \times 100\% \approx \boxed{27.94\%}
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