a) Calculate Leonard's monthly basic salary in Ksh.
Step 1: Calculate the Gross Tax.
Gross Tax is the tax before deducting personal relief.
GrossTax=NetTax+PersonalRelief
GrossTax=Ksh.5,512+Ksh.1,162=Ksh.6,674
Step 2: Calculate the tax paid in each band to determine the total taxable income.
• Band 1: 10% of Ksh. 9,680
0.10×9,680=Ksh.968
Remaining Gross Tax = 6,674−968=Ksh.5,706
• Band 2: 15% of (Ksh. 18,800−9,680) = 15% of Ksh. 9,120
0.15×9,120=Ksh.1,368
Remaining Gross Tax = 5,706−1,368=Ksh.4,338
• Band 3: 20% of (Ksh. 27,920−18,800) = 20% of Ksh. 9,120
0.20×9,120=Ksh.1,824
Remaining Gross Tax = 4,338−1,824=Ksh.2,514
• Band 4: 25% of (Ksh. 37,040−27,920) = 25% of Ksh. 9,120
0.25×9,120=Ksh.2,280
Remaining Gross Tax = 2,514−2,280=Ksh.234
• Band 5: The remaining tax of Ksh. 234 falls into the 30% band.
Let x be the amount of taxable income in this band.
0.30×x=234
x=0.30234=Ksh.780
Step 3: Calculate the Total Taxable Income.
TotalTaxableIncome=37,040+780=Ksh.37,820
Step 4: Calculate the monthly basic salary.
TotalTaxableIncome=BasicSalary+TaxableAllowances
BasicSalary=TotalTaxableIncome−TaxableAllowances
BasicSalary=Ksh.37,820−Ksh.15,220=Ksh.22,600
The monthly basic salary is Ksh.22,600.
b) Calculate his monthly net salary.
Step 1: Calculate the total monthly deductions.
TotalDeductions=NetTax+NHIF+UnionDues+Co−operativeShares
TotalDeductions=Ksh.5,512+Ksh.320+Ksh.200+Ksh.7,500
TotalDeductions=Ksh.13,532
Step 2: Calculate the monthly net salary.
Net salary is the total taxable income (gross salary) minus total deductions.
NetSalary=TotalTaxableIncome−TotalDeductions
NetSalary=Ksh.37,820−Ksh.13,532=Ksh.24,288
His monthly net salary is Ksh.24,288.
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