At the beginning of a year A, B and C jointly started a business. A invested `1/3` part of the capital and B invested an amount eqwual to the total capital of A and C. If the profit be Rs. 840 at the end of the year, then find the profits of each of them.

At the beginning of a year A, B and C jointly started a business. A in

1.	At the beginning of a year A, B and C jointly started a business. A invested `1/3` part of the capital and B invested an amount eqwual to the total capital of A and C. If the profit be Rs. 840 at the end of the year, then find the profits of each of them.
Answer» Let the capital be Rs. `x` So A invested `Rs. x/3` and the investement of B and C is `Rs.(x-x/3)=Rs. (2x)/3`………..1 As per question the investment of `B=Rs. x/3+` investment of C `implies` (Capital of B)`-` (Capital of C)`=Rs. x/3`…….2 Now adding 1 and 2 we get `2xx("Capital of B")=((2x)/3)+x/3)=Rs. x` `:.` Capital of `B=Rs. x/2` `:.` From 1 we get capital of `C=Rs. ((2x)/3-x/2)=Rs. x/6` So (Capital of A: (capital of B): (capital of C)`=x/3:x/2:x/6=1/3:1/2:1/6=2:3:1` `:.` The part of the capital of `A=2/(2+3+1)=2/6` The part of the capital of `B=3/6` and the part of the capital of `C=1/6` So from Rs. 840 A will get `Rs. 840xx2/6=Rs. 280` B will get RKs. `840xx3/6=Rs. 420` and C will get Rs. `840xx1/6=Rs. 140` Hence the profits of A,B and C are Rs. 280, Rs. 420 and Rs. 140 respectively.

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At the beginning of a year A, B and C jointly started a business. A invested `1/3` part of the capital and B invested an amount eqwual to the total capital of A and C. If the profit be Rs. 840 at the end of the year, then find the profits of each of them.

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