Aditya,Manish,and Gaurav enter into a partner | vedclass

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(A) First,simplify the ratio of shares by multiplying by the $LCM$ of denominators $(2, 3, 5)$,which is $30$:Aditya : Manish : Gaurav = $(\frac{7}{2}

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$8000$

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(A) First,simplify the ratio of shares by multiplying by the $LCM$ of denominators $(2, 3, 5)$,which is $30$:Aditya : Manish : Gaurav = $(\frac{7}{2} 	imes 30) : (\frac{4}{3} 	imes 30) : (\frac{6}{5} 	imes 30) = 105 : 40 : 36$.To make calculations easier,multiply by $2$: $210 : 80 : 72$.Aditya's initial share is $210$. After $4$ months,he increases it by $50\%$,so his new share is $210 + (0.5 	imes 210) = 210 + 105 = 315$.Now,calculate the effective investment for the year:Aditya's investment = $(210 	imes 4) + (315 	imes 8) = 840 + 2520 = 3360$.Manish's investment = $80 	imes 12 = 960$.Gaurav's investment = $72 	imes 12 = 864$.The ratio of profit is $3360 : 960 : 864$. Dividing by $48$,we get $70 : 20 : 18$,or $35 : 10 : 9$.Total parts = $35 + 10 + 9 = 54$.Manish's share = $\frac{10}{54} 	imes 43200 = 10 	imes 800 = Rs. 8000$.

Aditya,Manish,and Gaurav enter into a partnership with shares in the ratio of $\frac{7}{2} : \frac{4}{3} : \frac{6}{5}$. After $4$ months,Aditya increases his share by $50\%$. If at the end of one year the total profit is $Rs. 43200$,then what will be Manish's share in the profit?

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