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 amount A, B and C ?

A

$3:10:5$

B

$6:15:5$

C

$6:10:8$

D

$6:10:5$

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Solution

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Correct option is D)

Let the initial investment of A is $3x$ and B, is $5x$, then C investment is also $5x$, but most important to note in this question is the time duration of investment Like, A invested for $12$ months, B invested for $12$ months and C invested for $6$ months. $A:B:C=(3x×12 ):(5x×12 ):(5x×6 )$ $=36:60:30$ $6:10:5$