If Rs. 782 is divided into three parts propor | vedclass

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(D) First,find the $L.C.M.$ of the denominators $2, 3,$ and $4$,which is $12$.Multiply each ratio term by $12$ to convert them into whole numbers:$\le

Vedclass · Accepted Answer

$204$

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(D) First,find the $L.C.M.$ of the denominators $2, 3,$ and $4$,which is $12$.Multiply each ratio term by $12$ to convert them into whole numbers:$\left(\frac{1}{2} 	imes 12ight) : \left(\frac{2}{3} 	imes 12ight) : \left(\frac{3}{4} 	imes 12ight) = 6 : 8 : 9$.The sum of the ratio parts is $6 + 8 + 9 = 23$.Given that the total amount is $Rs. 782$,we have $23 	ext{ units} = 782$.Therefore,$1 	ext{ unit} = \frac{782}{23} = 34$.The first part corresponds to $6 	ext{ units}$,so the first part $= 6 	imes 34 = 204$.

If $Rs. 782$ is divided into three parts proportional to $\frac{1}{2}: \frac{2}{3}: \frac{3}{4}$,then the first part is (in $Rs.$):

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