Question

Srikant and Gautam invested Rs. 240000 and Rs. 300000 respectively at the beginning of the year of purchase a mini bus to run it on a route. After 4 months their friend Peter joined them with a capital of Rs. 81000. Srikant and Gautam have withdrawn that money in the ratio of theri capitals. Calculate the share of each if they make a profit ofRs. 39150 at the end of the year.

Answer 1

Ratio of capitals of Srikant and Gautam `=240000:300000=4:5`
`:.` Part of capital of Srikant `=4/(4+5)=4/9` and part of capital of Gautam `=5/9`
So from Rs. 81000, Srikant gets Rs. `(81000xx4)/9=Rs. 36000`
and Gautam gets Rs. `81000xx5/9=Rs. 45000`
`:.` Ratio of capitals of Srikant, Gautam and Peter `=(240000xx4+(240000-36000)xx8)`
`:(300000xx4+(300000-45000)xx8)`
`:81000xx8`
`=2592000:3240000:648000`
`=4:5:1`
Then part of Srikant `=4/(4+5+1)=4/10`
Part of Gautam `=5/10` and part of Peter `=1/10`
So , from Rs. 39150 Srikant will get Rs. `39150xx4/10=Rs. 15660`
From Rs. 39150 Gautam will get `Rs. 39150xx5/10=Rs. 19575`
and from Rs. 39150, Peter will get `Rs. 39150xx1/10=Rs. 3915`
Hence the profit of Srikant, Gautam and Peter is Rs. 15660, Rs. 19575 and Rs. 3915 respectively.