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

$120,000

Step-by-step explanation:

Given:

Shares owned by Fritz =
`(2)/(3)` of number of the shares of the other three shareholders i.e
`(2)/(2+3)=(2)/(5)` of all the shares

Shares owned by Luis =
`(3)/(7)` of number of the shares of the other three shareholders i.e
`(3)/(3+7)=(3)/(10)` of all the shares

Shares owned by Alfred =
`(4)/(11)` of number of the shares of the other three shareholders i.e
`(4)/(4+11)=(4)/(15)` of all the shares

Therefore,

Shares owned by them together =
`(2)/(5)+(3)/(10)+(4)/(15)`

=
`(29)/(30)` of all shares,

This means that Werner owns = 1 −
`(29)/(30)` of all shares,

=
`(1)/(30)` of all shares

i.e

=
`(1)/(30)` × $3,600,000

= $120,000