A, B, C enter into a partnership with shares | vedclass

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(D) The given ratio of shares is $\frac{7}{2}: \frac{4}{3}: \frac{6}{5}.$ To simplify,multiply by the $LCM$ of $2, 3, 5$ which is $30.$Ratio $= (\frac

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$4000$

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(D) The given ratio of shares is $\frac{7}{2}: \frac{4}{3}: \frac{6}{5}.$ To simplify,multiply by the $LCM$ of $2, 3, 5$ which is $30.$Ratio $= (\frac{7}{2} 	imes 30) : (\frac{4}{3} 	imes 30) : (\frac{6}{5} 	imes 30) = 105 : 40 : 36.$Let the initial investments be $105x, 40x,$ and $36x.$$A$ increases his share by $50\%$ after $4 	ext{ months}.$ New share of $A = 105 + (50\% 	ext{ of } 105) = 105 + 52.5 = 157.5.$Ratio of equivalent capitals for $12 	ext{ months}$:$A = (105 	imes 4) + (157.5 	imes 8) = 420 + 1260 = 1680.$$B = 40 	imes 12 = 480.$$C = 36 	imes 12 = 432.$Ratio $= 1680 : 480 : 432.$ Dividing by $48$,we get $35 : 10 : 9.$Total parts $= 35 + 10 + 9 = 54.$$B$'s share $= \frac{10}{54} 	imes 21600 = 10 	imes 400 = ₹ 4000.$

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

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