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(C) Let the investments of $A, B$,and $C$ be $4x, 6x$,and $5x$ respectively.$A$ invested for $12$ months,while $B$ and $C$ invested for $12 - 4 = 8$ m

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$4250$

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(C) Let the investments of $A, B$,and $C$ be $4x, 6x$,and $5x$ respectively.$A$ invested for $12$ months,while $B$ and $C$ invested for $12 - 4 = 8$ months.The ratio of their profit shares is calculated as: (Investment $	imes$ Time).Profit ratio of $A: B: C = (4x 	imes 12) : (6x 	imes 8) : (5x 	imes 8)$.$= 48x : 48x : 40x$.Dividing by $8x$,the ratio becomes $6 : 6 : 5$.Let the profit shares be $6k, 6k$,and $5k$.Given that $A$'s share is $Rs. 250$ more than $C$'s share:$6k - 5k = 250 \Rightarrow k = 250$.Total annual profit $= 6k + 6k + 5k = 17k$.Total profit $= 17 	imes 250 = Rs. 4250$.

$A$ started a business. After $4$ months from the start of the business,$B$ and $C$ joined. The respective ratio between the investments of $A, B$,and $C$ was $4: 6: 5$. If $A$'s share in the annual profit was $Rs. 250$ more than $C$'s share,what was the total annual profit earned? (in $Rs.$)

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