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Question Number 120563 by rexfordattacudjoe last updated on 01/Nov/20

A man has a wife with six  children and his total income is  Gh$8500.He was allowed the  following free tax  personal:......$1200  wife:...........$300  each child:.....$250 for a maximum of 4  dependant relative:$400  insurance:........$250  Taxed:  the first $2000 at 10%  the next $2000 at 15%  the next $2000 at 20%  the next $2000 at 25%  calculate  a)his tax free income  b)his income tax  c)his monthly income  d)his net monthly income

$${A}\:{man}\:{has}\:{a}\:{wife}\:{with}\:{six} \\ $$$${children}\:{and}\:{his}\:{total}\:{income}\:{is} \\ $$$${Gh\$}\mathrm{8500}.{He}\:{was}\:{allowed}\:{the} \\ $$$${following}\:{free}\:{tax} \\ $$$${personal}:......\$\mathrm{1200} \\ $$$${wife}:...........\$\mathrm{300} \\ $$$${each}\:{child}:.....\$\mathrm{250}\:{for}\:{a}\:{maximum}\:{of}\:\mathrm{4} \\ $$$${dependant}\:{relative}:\$\mathrm{400} \\ $$$${insurance}:........\$\mathrm{250} \\ $$$${Taxed}: \\ $$$${the}\:{first}\:\$\mathrm{2000}\:{at}\:\mathrm{10\%} \\ $$$${the}\:{next}\:\$\mathrm{2000}\:{at}\:\mathrm{15\%} \\ $$$${the}\:{next}\:\$\mathrm{2000}\:{at}\:\mathrm{20\%} \\ $$$${the}\:{next}\:\$\mathrm{2000}\:{at}\:\mathrm{25\%} \\ $$$${calculate} \\ $$$$\left.{a}\right){his}\:{tax}\:{free}\:{income} \\ $$$$\left.{b}\right){his}\:{income}\:{tax} \\ $$$$\left.{c}\right){his}\:{monthly}\:{income} \\ $$$$\left.{d}\right){his}\:{net}\:{monthly}\:{income} \\ $$$$ \\ $$

Answered by prakash jain last updated on 01/Nov/20

Tax Free Income (man, wife and 4 children)  1200+300+4×250=2500  Remain 2 children are dependent  relatives so addl 400 deduction.  2500+400=2900  250 for insurance  so total tax free income=2900+250  =3150  Taxable Income=8500−3150=4350  Tax=2000×10%+2000×15%+350×20%  =200+300+70=570  Net Icome=8500−570=7930  The question does not state whether  8500 is monthly

$$\mathrm{Tax}\:\mathrm{Free}\:\mathrm{Income}\:\left(\mathrm{man},\:\mathrm{wife}\:\mathrm{and}\:\mathrm{4}\:\mathrm{children}\right) \\ $$$$\mathrm{1200}+\mathrm{300}+\mathrm{4}×\mathrm{250}=\mathrm{2500} \\ $$$$\mathrm{Remain}\:\mathrm{2}\:\mathrm{children}\:\mathrm{are}\:\mathrm{dependent} \\ $$$$\mathrm{relatives}\:\mathrm{so}\:\mathrm{addl}\:\mathrm{400}\:\mathrm{deduction}. \\ $$$$\mathrm{2500}+\mathrm{400}=\mathrm{2900} \\ $$$$\mathrm{250}\:\mathrm{for}\:\mathrm{insurance} \\ $$$$\mathrm{so}\:\mathrm{total}\:\mathrm{tax}\:\mathrm{free}\:\mathrm{income}=\mathrm{2900}+\mathrm{250} \\ $$$$=\mathrm{3150} \\ $$$$\mathrm{Taxable}\:\mathrm{Income}=\mathrm{8500}−\mathrm{3150}=\mathrm{4350} \\ $$$$\mathrm{Tax}=\mathrm{2000}×\mathrm{10\%}+\mathrm{2000}×\mathrm{15\%}+\mathrm{350}×\mathrm{20\%} \\ $$$$=\mathrm{200}+\mathrm{300}+\mathrm{70}=\mathrm{570} \\ $$$$\mathrm{Net}\:\mathrm{Icome}=\mathrm{8500}−\mathrm{570}=\mathrm{7930} \\ $$$$\mathrm{The}\:\mathrm{question}\:\mathrm{does}\:\mathrm{not}\:\mathrm{state}\:\mathrm{whether} \\ $$$$\mathrm{8500}\:\mathrm{is}\:\mathrm{monthly} \\ $$

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