A sum of Rs. 1360 has been divided among A, B | vedclass

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Question

(C) Let the share of $C$ be $x$.Then,the share of $B = \frac{1}{4}x$.And the share of $A = \frac{2}{3} 	imes (	ext{share of } B) = \frac{2}{3} 	ime

Vedclass · Accepted Answer

$240$

Vedclass · Answer

(C) Let the share of $C$ be $x$.Then,the share of $B = \frac{1}{4}x$.And the share of $A = \frac{2}{3} 	imes (	ext{share of } B) = \frac{2}{3} 	imes \frac{x}{4} = \frac{x}{6}$.Given that the total sum is $Rs. 1360$,we have:$x + \frac{x}{4} + \frac{x}{6} = 1360$.Taking the least common multiple of $1, 4, 6$,which is $12$:$\frac{12x + 3x + 2x}{12} = 1360$.$\frac{17x}{12} = 1360$.$x = \frac{1360 	imes 12}{17} = 80 	imes 12 = 960$.Therefore,$B$'s share $= \frac{1}{4}x = \frac{960}{4} = Rs. 240$.

$A$ sum of $Rs. 1360$ has been divided among $A, B$ and $C$ such that $A$ gets $\frac{2}{3}$ of what $B$ gets and $B$ gets $\frac{1}{4}$ of what $C$ gets. $B$'s share is (in $Rs.$)

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