At the beginning of the year, Paradipbabu and Pramiladebi started jointly a business investing Rs. 24000 and Rs. 30000 respectively. After 5 months, Pradipbabu invested Rs. 4000 more in the business. If after the end of the year, the profit of the business be Rs. 27716 then find the amount of profit got by each of them.

Explanation

The capital of Pradipbabu with respect of 1 month
`=Rs. {24000xx5+(24000+4000)xx(12-5)}`
`=Rs. 316000`
The capital of Pramiladebi with respect of 1 month `=Rs. 30000xx12=Rs. 360000`
Therefore, (capital of Pradipbabu):(capital of Pramiladebi)`=316000:360000=79:90`
`:.` Part of the capital of Pradipbabu `=79/(79+90)=79/169`
and part of the capital of Pramiladebi `=90/(79+90)=90/169`
`:.` in Rs. 27716 Pradipbabu will get profit `Rs. 27716xx79/169=Rs. 12956`
In Rs. 27716, Pramiladebi will get profit `Rs. 27716xx90/169=Rs. 14760`
Hence, Pradipbabu and Pramiladebi will get profit of Rs. 12956 and Rs. 14760 respectively.