Answer :
Let's determine the effective tax rate for a taxable income of [tex]$75,400 using the given tax brackets.
1. Analyze the income up to each tax bracket:
- First Bracket: $[/tex]0 - [tex]$10,275 at 10%
- Taxable amount: $[/tex]10,275
- Tax: [tex]$10,275 * 0.10 = $[/tex]1,027.50
- Second Bracket: [tex]$10,276 - $[/tex]41,175 at 12%
- Taxable amount: [tex]$41,175 - $[/tex]10,275 = [tex]$30,900 - Tax: $[/tex]30,900 * 0.12 = [tex]$3,708 - Third Bracket: $[/tex]41,176 - [tex]$89,075 at 22% - Taxable amount: $[/tex]75,400 - [tex]$41,175 = $[/tex]34,225
- Tax: [tex]$34,225 0.22 = $[/tex]7,529.50
2. Sum these individual tax amounts to get the total tax:
- Total Tax: [tex]$1,027.50 + $[/tex]3,708 + [tex]$7,529.50 = $[/tex]12,265
3. Calculate the effective tax rate:
- Effective Tax Rate = (Total Tax / Total Income) 100
- Effective Tax Rate = ([tex]$12,265 / $[/tex]75,400) * 100 ≈ [tex]$16.27\%$[/tex]
So, the effective tax rate for a taxable income of [tex]$75,400 is approximately $[/tex]16.27\%[tex]$. Therefore, the correct option is: $[/tex]16.27\%$.
- Tax: [tex]$10,275 * 0.10 = $[/tex]1,027.50
- Second Bracket: [tex]$10,276 - $[/tex]41,175 at 12%
- Taxable amount: [tex]$41,175 - $[/tex]10,275 = [tex]$30,900 - Tax: $[/tex]30,900 * 0.12 = [tex]$3,708 - Third Bracket: $[/tex]41,176 - [tex]$89,075 at 22% - Taxable amount: $[/tex]75,400 - [tex]$41,175 = $[/tex]34,225
- Tax: [tex]$34,225 0.22 = $[/tex]7,529.50
2. Sum these individual tax amounts to get the total tax:
- Total Tax: [tex]$1,027.50 + $[/tex]3,708 + [tex]$7,529.50 = $[/tex]12,265
3. Calculate the effective tax rate:
- Effective Tax Rate = (Total Tax / Total Income) 100
- Effective Tax Rate = ([tex]$12,265 / $[/tex]75,400) * 100 ≈ [tex]$16.27\%$[/tex]
So, the effective tax rate for a taxable income of [tex]$75,400 is approximately $[/tex]16.27\%[tex]$. Therefore, the correct option is: $[/tex]16.27\%$.