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(D) The ratio of initial investments is $\frac{7}{2}: \frac{4}{3}: \frac{6}{5}$.To simplify,multiply by the $LCM$ of denominators $(30)$: $(7/2 	imes

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₹ $4000$

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(D) The ratio of initial investments is $\frac{7}{2}: \frac{4}{3}: \frac{6}{5}$.To simplify,multiply by the $LCM$ of denominators $(30)$: $(7/2 	imes 30) : (4/3 	imes 30) : (6/5 	imes 30) = 105 : 40 : 36$.Let the initial investments be $105k, 40k$,and $36k$.After $4$ months,$A$ increases his share by $50\%$. New investment of $A = 105k + 0.5 	imes 105k = 157.5k$.Total investment ratio for the year:$A = (105k 	imes 4) + (157.5k 	imes 8) = 420k + 1260k = 1680k$.$B = 40k 	imes 12 = 480k$.$C = 36k 	imes 12 = 432k$.Ratio $A:B:C = 1680:480:432$. Dividing by $48$,we get $35:10:9$.Total parts $= 35 + 10 + 9 = 54$.$B$'s share $= \frac{10}{54} 	imes 21600 = 10 	imes 400 = ₹ 4000$.

$A, B$ and $C$ entered into a partnership in the ratio $\frac{7}{2}: \frac{4}{3}: \frac{6}{5}$. After $4$ months,$A$ increases his share by $50\%$. If the total profit at the end of one year is ₹ $21600$,then find $B$'s share in the profit (in ₹).

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