A and B enter into a partnership by investing | vedclass

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Question

(C) invests $Rs. 12,000$ for $4$ months and $(12,000 + 5,000) = Rs. 17,000$ for $8$ months.$B$ invests $Rs. 16,000$ for $4$ months and $(16,000 - 6,00

Vedclass · Accepted Answer

$12,362.5$

Vedclass · Answer

(C) invests $Rs. 12,000$ for $4$ months and $(12,000 + 5,000) = Rs. 17,000$ for $8$ months.$B$ invests $Rs. 16,000$ for $4$ months and $(16,000 - 6,000) = Rs. 10,000$ for $8$ months.$C$ invests $Rs. 20,000$ for $6$ months (since $C$ joined $2$ months after $A$ and $B$ changed their investments,i.e.,$4+2=6$ months from the start).Calculating the equivalent capital for one month:$A = (12,000 	imes 4) + (17,000 	imes 8) = 48,000 + 136,000 = 184,000$$B = (16,000 	imes 4) + (10,000 	imes 8) = 64,000 + 80,000 = 144,000$$C = 20,000 	imes 6 = 120,000$Ratio of profits $= 184,000 : 144,000 : 120,000 = 184 : 144 : 120 = 23 : 18 : 15$.Total ratio sum $= 23 + 18 + 15 = 56$.$A$'s share $= (23 / 56) 	imes 30,100 = 23 	imes 537.5 = Rs. 12,362.5$.

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