Answer:
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
.
We have been given that you own 10% of the Class A shares, that will be equal to 10% of x as:
![10\%\text{ of }x=\frac{10}{100}x=0.10x](https://tex.z-dn.net/?f=10%5C%25%5Ctext%7B%20of%20%7Dx%3D%5Cfrac%7B10%7D%7B100%7Dx%3D0.10x)
We are also told that you own 20% of the Class B shares, that will be equal to 20% of
as:
![20\%\text{ of }10x=\frac{20}{100}\cdot 10x=2x](https://tex.z-dn.net/?f=20%5C%25%5Ctext%7B%20of%20%7D10x%3D%5Cfrac%7B20%7D%7B100%7D%5Ccdot%2010x%3D2x)
Sum of percentage of both class voting rights would be
.
Total voting rights of both classes would be
.
Now we need to find
is what percent of
.
![\text{Percentage of the total voting rights that you hold}=\frac{2.10x}{11x}\times 100\%](https://tex.z-dn.net/?f=%5Ctext%7BPercentage%20of%20the%20total%20voting%20rights%20that%20you%20hold%7D%3D%5Cfrac%7B2.10x%7D%7B11x%7D%5Ctimes%20100%5C%25)
![\text{Percentage of the total voting rights that you hold}=\frac{2.10}{11}\times 100\%](https://tex.z-dn.net/?f=%5Ctext%7BPercentage%20of%20the%20total%20voting%20rights%20that%20you%20hold%7D%3D%5Cfrac%7B2.10%7D%7B11%7D%5Ctimes%20100%5C%25)
![\text{Percentage of the total voting rights that you hold}=0.19090909\times 100\%](https://tex.z-dn.net/?f=%5Ctext%7BPercentage%20of%20the%20total%20voting%20rights%20that%20you%20hold%7D%3D0.19090909%5Ctimes%20100%5C%25)
![\text{Percentage of the total voting rights that you hold}=19.090909\%](https://tex.z-dn.net/?f=%5Ctext%7BPercentage%20of%20the%20total%20voting%20rights%20that%20you%20hold%7D%3D19.090909%5C%25)
![\text{Percentage of the total voting rights that you hold}\approx 19.1\%](https://tex.z-dn.net/?f=%5Ctext%7BPercentage%20of%20the%20total%20voting%20rights%20that%20you%20hold%7D%5Capprox%2019.1%5C%25)
Therefore, you hold approximately
of the total voting rights.