Rs. 555 was to be divided among A, B and C in | vedclass

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(C) The $LCM$ of $4, 5, 6$ is $60$.The correct ratio is $\frac{1}{4} 	imes 60 : \frac{1}{5} 	imes 60 : \frac{1}{6} 	imes 60 = 15 : 12 : 10$.The tot

Vedclass · Accepted Answer

$72$

Vedclass · Answer

(C) The $LCM$ of $4, 5, 6$ is $60$.The correct ratio is $\frac{1}{4} 	imes 60 : \frac{1}{5} 	imes 60 : \frac{1}{6} 	imes 60 = 15 : 12 : 10$.The total parts in the correct ratio $= 15 + 12 + 10 = 37$.$C$'s actual share $= \frac{10}{37} 	imes 555 = 10 	imes 15 = 150$.The incorrect ratio is $4 : 5 : 6$.The total parts in the incorrect ratio $= 4 + 5 + 6 = 15$.$C$'s share by mistake $= \frac{6}{15} 	imes 555 = 6 	imes 37 = 222$.The excess amount received by $C = 222 - 150 = 72$.

$Rs. 555$ was to be divided among $A, B$ and $C$ in the ratio of $\frac{1}{4}: \frac{1}{5}: \frac{1}{6}$. But by mistake,it was divided in the ratio of $4: 5: 6$. The amount in excess received by $C$ was (in $Rs.$)

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