Question

The ratio of the capitals of A,B and C is `1/2:1/3:1/4` in a partnership business. After 4 months A have withdrawn half of his capital and after 8 months, more, the profit of the business is Rs. 2024.. Find the profit of A.

Answer 1

The ratio of the capital of A,B and `C=1/2:1/3:1/4=6:4:3`
Let the capitals of A,B and C be `Rs. 6x, Rs. 4x` and `Rs. 3x` respectively.
`:.` With respect of 1 month the capital of `A=Rs. (6x xx4+(6x)/2xx8)=Rs. (24x+24x)`

`=Rs. 48x`
With respect of 1 month the captal of `B=Rs. 4x xx12=Rs. 48x`
and with respect of 1 month, the capital of `C=Rs. 3x xx 12=Rs. 36x`
So the ratio of the capital of A,B and `C=48x:48x:36x=4:4:3`
`:.` Part of the profit of `A=4/(4+4+3)=4/11`
`:.` From Rs. 2024, A will get the profit of `Rs. 2024xx4/11=Rs. 736`
Hence A will get the profit Rs. 736.