There potters from Mumartuli collectively took a loan of Rs. 100000 from a Co-operative Bank to set up a modelling workshop. They made a contract that after paying back the annual bank instalment of Rs. 28100, they would divide half of the profit among themselves in terms of the number of working days and the other hal will be equally divided among them. Last year they worked 300 days, 275 days and 350 days respectively and made a profit of Rs. 139100.Calculate the share of each in this profit.

Explanation

Totla profit `=Rs. 139100`
Instalment of the bank `=Rs. 28100`
`:.` Rest of the profit `=Rs. (139100-28100)=Rs. 111000`
Half of the rest profit `=Rs. 111000/2=Rs. 55500`
Now diving this profit into 3 equals each of the partners will get a profit of
`Rs. 55500/3=Rs. 18500`
The ratio of the working days of the three potters.
`=300:275:350=12:11:14`
`:.` The part of the working days of the first potter `=12/(12+11+14)=12/37`
The part of the working days of the second potter `=11/37`
and the part of the working days of the third potter `=14/37`
So from Rs. 55500, the first potter will get Rs. `(55500xx12)/37=Rs. 18000`
the second pottr will get `Rs. (55500xx11)/37=Rs. 16500`
and the third potter will get `Rs. (55500xx14)/37=Rs. 2100`
So the first potter will get a total profit of Rs. `(18000+18500)=Rs. 36500`
The second potter will get a total profit of Rs. `(16500+18500)=Rs. 35000`
and the third potter will get a total profit of Rs. `(21000+18500)=Rs. 39500`