Respuesta :
Answer:
[tex]19.1\%[/tex]
Step-by-step explanation:
Let x represent voting rights of class A.
We have been given that class B has 10 times the voting rights as Class A. So voting rights of class B would be [tex]10x[/tex].
We have been given that you own 10% of the Class A shares, that will be equal to 10% of x as:
[tex]10\%\text{ of }x=\frac{10}{100}x=0.10x[/tex]
We are also told that you own 20% of the Class B shares, that will be equal to 20% of [tex]10x[/tex] as:
[tex]20\%\text{ of }10x=\frac{20}{100}\cdot 10x=2x[/tex]
Sum of percentage of both class voting rights would be [tex]0.10x+2x=2.10x[/tex].
Total voting rights of both classes would be [tex]x+10x=11x[/tex].
Now we need to find [tex]2.10x[/tex] is what percent of [tex]11x[/tex].
[tex]\text{Percentage of the total voting rights that you hold}=\frac{2.10x}{11x}\times 100\%[/tex]
[tex]\text{Percentage of the total voting rights that you hold}=\frac{2.10}{11}\times 100\%[/tex]
[tex]\text{Percentage of the total voting rights that you hold}=0.19090909\times 100\%[/tex]
[tex]\text{Percentage of the total voting rights that you hold}=19.090909\%[/tex]
[tex]\text{Percentage of the total voting rights that you hold}\approx 19.1\%[/tex]
Therefore, you hold approximately [tex]19.1\%[/tex] of the total voting rights.
