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# A and B enter into partnership. A invests Rs. 16000 for 8 months and B remains in the business for 4 months. Out of a total profit, B claims 2/7 of the pr

A and B enter into partnership. A invests Rs. 16000 for 8 months and B remains in the business for 4 months. Out of a total profit, B claims 2/7 of the profit, B contributed

• Option 1)

Rs. 12500

• Option 2)

Rs. 10500

• Option 3)

Rs. 13600

• Option 4)

Rs. 12800

• Option 5)

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Views

$Option\: D$

$Let\: the\: total\: price \: be\: Rs. X\: then,$

$B= 2x/7$     &      $A= \left ( x-2 \right )/7$

$So, A:B = 5x/7 : 2x/7 = 5 : 2$

$Let \: B's \: capital\; be\: Rs.Y\: then\: \left ( 16000\ast 8 \right )/4y= 5/2$

$=> (16000\ast 8\ast 2)/(4\ast 5) = y$

$=> y = Rs. 12800$

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