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  • A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B's share is:

A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B's share is:

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\begin{array}{l} \text { Let } C^{\prime} s \text { share }=R s . x \\ \text { Then, } B^{\prime} s \text { share }=R s . \frac{x}{4}, \\ A^{\prime} s \text { share }=R s .\left(\frac{2}{3} \times \frac{x}{4}\right)=R s . \frac{x}{6} \\ \therefore \frac{x}{6}+\frac{x}{4}+x=1360 \\ \Rightarrow \frac{17 x}{12}=1360 \\ \Rightarrow x=\frac{1360 \times 12}{17}=R s .960 \\ \text { Hence, } B^{\prime} s \text { share }=R s .\left(\frac{960}{4}\right) \\ =R s .240 \end{array}

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Deependra Verma

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