₹ 864 is divided among A, B and C such that 8 | vedclass

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(B) Let the shares of $A, B$,and $C$ be $A, B$,and $C$ respectively.Given that $8A = 12B = 6C$.To find the ratio $A:B:C$,divide the entire equation by

Vedclass · Accepted Answer

$192$

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(B) Let the shares of $A, B$,and $C$ be $A, B$,and $C$ respectively.Given that $8A = 12B = 6C$.To find the ratio $A:B:C$,divide the entire equation by the least common multiple of $8, 12$,and $6$,which is $24$.$\frac{8A}{24} = \frac{12B}{24} = \frac{6C}{24}$$\frac{A}{3} = \frac{B}{2} = \frac{C}{4}$Therefore,the ratio $A:B:C = 3:2:4$.The total sum is $₹ 864$.The sum of the ratio parts is $3 + 2 + 4 = 9$.$B$'s share $= \frac{2}{9} 	imes 864 = 2 	imes 96 = ₹ 192$.

₹ $864$ is divided among $A, B$ and $C$ such that $8$ times $A$'s share is equal to $12$ times $B$'s share and also equal to $6$ times $C$'s share. How much (in ₹) did $B$ get?

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