# A, B and C enter in partnership and their capital are in the proportion of 1/3, ¼, 1/5. A withdraws half his capital at the end of 4 months. Out of a total annual profit of Rs. 847, A’s share is Option 1) Rs. 252Option 2) Rs. 280Option 3) Rs. 315            Option 4) Rs. 412Option 5) -

R rishi raj

$Ratio \: of \: initial\: investments = 1/3 : 1/4 : 1/5 = 20 : 15 : 12$

$Let \: their \: initial\: investments\: be\: 20x,\: 15x\: and\: 12x$

$A : B : C = \left ( 20x\ast 4 + 10x\ast 8 \right ) : \left ( 15x\ast 12 \right ) : \left ( 12x\ast 12 \right )$

$= 40 : 45 : 36$

$Hence\: A's \: share = 847\ast 40/121= Rs. 280$

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