# Fixed expenses 2013

Since 2013, the Slovak government plans to tax more small one person businesses. Instead of fixed expences 40% will be fixed expences 40% of gross income up to 420 Eur.

Calculate what percentage of fixed expences will in 2013 pays from gross income 1569 Eur.

Result

x =  26.8 %

#### Solution:

$b=1569 \ \text{Eur} \ \\ q=40 \%=\dfrac{ 40 }{ 100 }=0.4 \ \\ v=q \cdot \ b=0.4 \cdot \ 1569=\dfrac{ 3138 }{ 5 }=627.6 \ \text{Eur} \ \\ v_{2}=min(420, v)=min(420, 627.6)=420 \ \text{Eur} \ \\ \ \\ x_{1}=\dfrac{ v_{2} }{ b }=\dfrac{ 420 }{ 1569 } \doteq \dfrac{ 140 }{ 523 } \doteq 0.2677 \ \\ x=100 \cdot \ x_{1}=100 \cdot \ 0.2677 \doteq 26.7686 \doteq 26.8 \%$

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