Question

​Anzio, Inc., has two classes of shares. Class B has 10 times the voting rights as Class A. If you own 10 % of the Class A shares and 20 % of the Class B​ shares, what percentage of the total voting rights do you​ hold?

Answer 1

`19.1\%`

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
`10x`.

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=(10)/(100)x=0.10x`

We are also told that you own 20% of the Class B​ shares, that will be equal to 20% of
`10x` as:

`20\%\text{ of }10x=(20)/(100)\cdot 10x=2x`

Sum of percentage of both class voting rights would be
`0.10x+2x=2.10x`.

Total voting rights of both classes would be
`x+10x=11x`.

Now we need to find
`2.10x` is what percent of
`11x`.

`\text{Percentage of the total voting rights that you hold}=(2.10x)/(11x)* 100\%`

`\text{Percentage of the total voting rights that you hold}=(2.10)/(11)* 100\%`

`\text{Percentage of the total voting rights that you hold}=0.19090909* 100\%`

`\text{Percentage of the total voting rights that you hold}=19.090909\%`

`\text{Percentage of the total voting rights that you hold}\approx 19.1\%`

Therefore, you hold approximately
`19.1\%` of the total voting rights.