Deepu Rabeya and Megha started a small business with capital Rs. 6500, Rs. 5200 and Rs. 9100 respectively and got a profit of Rs. 14400 after 1 year. They have taken `2/3rd` of that profit distributing equally within themselves and the rest of the profit according to the ratio of their capital. Find th parts of profits of each of them.

Explanation

The ratio of capitals of Deepu, Rabeya and Meha `=6500:5200:9100`
`=5:4:7`
`:.` Part of capital of Deepu `=5/(5+4+7)=5/16`
Part of capital of Rabey `=4/(5+4+7)=4/16=1/4`
Part of capital of Metha `=7/(5+4+7)=7/16`
Total profit `=Rs. 14400`
`2/3` rd of the profit `=Rs. 14400xx2/3=Rs. 9600`
`:.` Rs. 9600 of the profit is equally distributed amongst three partners.
`:.` Profit of each of them `=Rs. 9600/3=Rs. 3200`
The rest of the profit `=Rs. (1440-9600)=Rs. 4800`
At per question In Rs. 4800, the profit of Deepu `=Rs. 4800xx5/16=Rs. 1500`
In Rs. 4800, the profit of Rabeya `=Rs. 4800xx1/4=Rs. 1200`
Profit of Megha `=Rs. 4800xx7/16=Rs. 2100`
`:.` Total profit of Deepu `=Rs. (3200+1500)=Rs. 4700`
Total profit of Rabeya `=Rs. (3200+1200)=Rs. 4400`
Total profit of Megha `=Rs. (3200+2100)=Rs. 5300`
Hence Deepu, Rabeya and Megha will get profit Rs. 4700, Rs. 4400 and Rs. 5300 respectively.