Question 1199447
.
Three partners Otieno, Ouma and Makotsi decide to start an export business together. 
If Otieno contributes sh 20 000 for 9 months, Ouma contributes sh 25 000 for 6 months 
and Makotsi contributes sh 35 000 for 4 months,
find their {{{highlight(cross(share))}}} <U>shares</U> in profits of sh 1 310 000.
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<pre>
Let "r" be the rate of making profit in this business.


    +------------------------------------------------------+
    |   DEFINITION: "r" is the profit per 1 sh per month.  |
    +------------------------------------------------------+


Then we have this equation

    (20000*9)*r + (25000*6)*r + (35000*4)*r = 1310000.


Simplify and find r

    (20000*9 + 25000*6 + 35000*4)*r = 1310000
   
    470000*r = 1310000

    r = {{{1310000/470000}}} = {{{131/47}}}


Now the shares of the participants are:

    Otieno :  {{{20000*9*(131/47)}}} = use your calculator.

    Ouma   :  {{{25000*6*(131/47)}}} = use your calculator.

    Makotsi:  {{{35000*4*(131/47)}}} = use your calculator.
</pre>

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