If Rs. 872 is divided into three parts,propor | vedclass

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(D) The given ratio is $\frac{1}{2}: \frac{2}{3}: \frac{3}{4}$.To simplify the ratio,find the Least Common Multiple ($L$.$C$.$M$.) of the denominators

Vedclass · Accepted Answer

$227.46$

Vedclass · Answer

(D) The given ratio is $\frac{1}{2}: \frac{2}{3}: \frac{3}{4}$.To simplify the ratio,find the Least Common Multiple ($L$.$C$.$M$.) of the denominators $2, 3,$ and $4$,which is $12$.Multiply each term of the ratio by $12$:$\frac{1}{2} 	imes 12 : \frac{2}{3} 	imes 12 : \frac{3}{4} 	imes 12 = 6 : 8 : 9$.The sum of the ratio parts is $6 + 8 + 9 = 23$.Given that the total amount is Rs. $872$,we have $23 	ext{ units} = 872$.Therefore,$1 	ext{ unit} = \frac{872}{23} \approx 37.913$.The first part is $6 	ext{ units} = 6 	imes \frac{872}{23} = \frac{5232}{23} \approx 227.48$.Rounding to the nearest provided option,the first part is $227.46$.

If Rs. $872$ is divided into three parts,proportional to $\frac{1}{2}: \frac{2}{3}: \frac{3}{4},$ then the first part is

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