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A sum of Rs. 1360 has been divided among A, B and C such that A gets ²/₃ of what B gets and B gets ¹/₄ of what C gets. B's share is:

1Rs. 120
2Rs. 160
3Rs. 240
4Rs. 300

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Let C^{'} s share = R s . x \\ T h e n, B^{'} s share = R s . \frac{x}{4}, \\ A^{'} s share = R s . (\frac{2}{3} \times \frac{x}{4}) = R s . \frac{x}{6} \\ ∴ \frac{x}{6} + \frac{x}{4} + x = 1360 \\ \Rightarrow \frac{17 x}{12} = 1360 \\ \Rightarrow x = \frac{1360 \times 12}{17} = R s . 960 \\ Hence, B^{'} s share = R s . (\frac{960}{4}) \\ = R s . 240 \end{aligned}

$\eqalign{ & {\text{Let}}\,C's\,{\text{share}} = Rs.\,x \cr & Then,\,B's\,{\text{share}} = \,Rs.\,\frac{x}{4}, \cr & A's\,{\text{share}} = Rs.\,\left( {\frac{2}{3} \times \frac{x}{4}} \right) = Rs.\,\frac{x}{6} \cr & \therefore \frac{x}{6} + \frac{x}{4} + x = 1360 \cr & \Rightarrow \frac{{17x}}{{12}} = 1360 \cr & \Rightarrow x = \frac{{1360 \times 12}}{{17}} = Rs.\,960 \cr & {\text{Hence}},\,B's\,{\text{share}} = Rs.\,\left( {\frac{{960}}{4}} \right) \cr & = Rs.\,240 \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} Let C^{'} s share = R s . x \\ T h e n, B^{'} s share = R s . \frac{x}{4}, \\ A^{'} s share = R s . (\frac{2}{3} \times \frac{x}{4}) = R s . \frac{x}{6} \\ ∴ \frac{x}{6} + \frac{x}{4} + x = 1360 \\ \Rightarrow \frac{17 x}{12} = 1360 \\ \Rightarrow x = \frac{1360 \times 12}{17} = R s . 960 \\ Hence, B^{'} s share = R s . (\frac{960}{4}) \\ = R s . 240 \end{aligned}

$\eqalign{ & {\text{Let}}\,C's\,{\text{share}} = Rs.\,x \cr & Then,\,B's\,{\text{share}} = \,Rs.\,\frac{x}{4}, \cr & A's\,{\text{share}} = Rs.\,\left( {\frac{2}{3} \times \frac{x}{4}} \right) = Rs.\,\frac{x}{6} \cr & \therefore \frac{x}{6} + \frac{x}{4} + x = 1360 \cr & \Rightarrow \frac{{17x}}{{12}} = 1360 \cr & \Rightarrow x = \frac{{1360 \times 12}}{{17}} = Rs.\,960 \cr & {\text{Hence}},\,B's\,{\text{share}} = Rs.\,\left( {\frac{{960}}{4}} \right) \cr & = Rs.\,240 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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