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7nadin3 [17]
3 years ago
9

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?
Business
1 answer:
Deffense [45]3 years ago
8 0

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

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