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A and B started a business with capitals Rs 10000 and Rs. 9000. After 6 months A invests Rs.3000 more, after 8 months B with draw Rs. 3000 then C joins with Rs. 5000. Find the profit of A in the total profit Rs. 5715 at the end of a year.

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Rs. 3105

Rs. 3245

Rs. 3145

Rs. 3205

answer is A.

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Detailed Solution

$A : B : C = 6 \times 10000 + 6 \times 13000 : 8 \times 9000 + 4 \times 6000 : 4 \times 5000$

$= 6 \times 10 + 6 \times 13 : 8 \times 9 + 4 \times 6 : 4 \times 5$

= 138 : 96 : 20

= 69 : 48 : 10

Profit = 5715

A' s profit = $\frac{69}{127} \times 5715 = 3105$

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