Three friends, collecting Rs. 8000, Rs. 10000 and Rs. 12000 respectively and taking a loan from the bajk, started a business. At the end of the year, their profit is Rs. 13400. From that profit, they repaid the bank instalment of Rs. 5000 and then the rest of the profit was distributin amongst themselves according to the ratio of their capitals. Find the amount of profit of each of them.

Explanation

The ratio of the capitals of three friends `=8000:10000:12000`
`=4:5:6`
`:.` Par of the profit of the first friend`=4/(4+5+6)=4/15`
Part of the profit of the second friend `=5/(4+5+6)=5/15=1/3`
Part of the profit of the third friend `=6/(4+5+6)=6/15`
The gross profit of the business `=Rs. 13400`
Instalmetn of the bank `=Rs. 5000`
`:.` Rest of the profit `=Rs. (13400-5000)=Rs. 8400`
`:.` The first friend will get profit `=Rs. 8400xx4/15=Rs. 2240`
The second friend will get profit `=Rs. 8400xx1/3=2800`
The third friend will get profit `=Rs. 8400xx6/5=Rs. 3360`
Hence the profit of the three friends and Rs. 2240, Rs. 2800 and Rs. 3360 respectively.