A certain amount was to be distributed among | vedclass

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Question

(A) Let the total amount be $x$.In the first case,the ratio is $2:3:4$. The sum of the ratio parts is $2 + 3 + 4 = 9$. Thus,$B$'s share is $\frac{3}{9

Vedclass · Accepted Answer

$210$

Vedclass · Answer

(A) Let the total amount be $x$.In the first case,the ratio is $2:3:4$. The sum of the ratio parts is $2 + 3 + 4 = 9$. Thus,$B$'s share is $\frac{3}{9}x = \frac{1}{3}x$.In the second case,the ratio is $7:2:5$. The sum of the ratio parts is $7 + 2 + 5 = 14$. Thus,$B$'s share is $\frac{2}{14}x = \frac{1}{7}x$.According to the problem,$B$ received ₹ $40$ less in the second case,so:$\frac{1}{3}x - \frac{1}{7}x = 40$$\frac{7x - 3x}{21} = 40$$\frac{4x}{21} = 40$$x = \frac{40 	imes 21}{4} = 10 	imes 21 = 210$.Therefore,the actual amount is ₹ $210$.

$A$ certain amount was to be distributed among $A$,$B$,and $C$ in the ratio $2:3:4$,but was erroneously distributed in the ratio $7:2:5$. As a result of this,$B$ received ₹ $40$ less. What is the actual amount (in ₹)?

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