# A, B and C enter into a partnership in the ratio   :   :  . After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then B's share in the profit is: Option 1) Rs. 2100Option 2) Rs. 2400Option 3) Rs. 3600Option 4) Rs. 4000Option 5) -

$ratio \: of \: initial\: investments = 7/2 : 4/3 : 6/5 = 105 : 40 : 36$

$Let\: the\: initial \: investments \: be\: Rs 105x,\: 40x\: and\: 36x$

$So, \: A:B:C= \left [ \left ( 105x\ast 4 \right ) + \left ( 150/100 \right )\ast 105x\ast 8 \right ] : (40x\ast 12) : (36x\ast 12)$

$= 1680x : 480x : 432x$

$= 35 : 10 : 9$

$Hence\: B's \: share = Rs \left ( 21600\ast 10/54 \right ) = Rs. 4000$

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