Question

Metropolis Corporation has 4 shareholders: Fritz, Luis, Alfred and Werner. Number of shares that Fritz owns is 2/3 rd of number of the shares of the other three shareholders, number of the shares that Luis owns is 3/7 th of number of the shares of the other three shareholders and number of the shares that Alfred owns is 4/11 th of number of the shares of the other three shareholders. If dividends of $3,600,000 were distributed among the 4 shareholders, how much of this amount did Werner receive?

Answer 1

Answer:

$120,000

Explanation:

Given:

Shares owned by Fritz = $\frac{2}{3}$ of number of the shares of the other three shareholders i.e $\frac{2}{2+3}=\frac{2}{5}$ of all the shares

Shares owned by Luis  = $\frac{3}{7}$ of number of the shares of the other three shareholders i.e $\frac{3}{3+7}=\frac{3}{10}$ of all the shares

Shares owned by Alfred = $\frac{4}{11}$ of number of the shares of the other three shareholders i.e $\frac{4}{4+11}=\frac{4}{15}$ of all the shares

Therefore,

Shares owned by them together = $\frac{2}{5}+\frac{3}{10}+\frac{4}{15}$

=  $\frac{29}{30}$ of all shares,

This means that Werner owns = 1 − $\frac{29}{30}$ of all shares,

=$\frac{1}{30}$ of all shares

i.e

= $\frac{1}{30}$ × $3,600,000

= $120,000