$A$ and $B$ started a partnership business investing some amount in the ratio of $3 : 5$ ,C joined them after six months with an amount equal to that of $B$ In what proportion should the profit at the end of one year be distributed among $A, B a n d C$ ?

3 : 5 : 2

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3 : 5 : 5

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6 : 10 : 5

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Solution

The correct option is C $6 : 10 : 5$
Let the initial investments of $A$ and $B$ be $3 x$ and $5 x$ .
So the investment of $C$ is also $5 x$
So the ratio of profits distributed among them is given by,
$A : B : C = (3 x \times 12) : (5 x \times 12) : (5 x \times 6)$
$A : B : C = 36 : 60 : 30$
$A : B : C = 6 : 10 : 5$

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A and B started a partnership business investing some amount in the ratio of 3:5 ,C joined them after six months with an amount equal to that of B In what proportion should the profit at the end of one year be distributed among A,BandC?

The correct option is C 6:10:5Let the initial investments of A and B be 3x and 5x.So the investment of C is also 5xSo the ratio of profits distributed among them is given by, A:B:C=(3x×12):(5x×12):(5x×6)A:B:C=36:60:30A:B:C=6:10:5

$A$ and $B$ started a partnership business investing some amount in the ratio of $3 : 5$ ,C joined them after six months with an amount equal to that of $B$ In what proportion should the profit at the end of one year be distributed among $A, B a n d C$ ?