Question
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. Bs share is:
Answer: Option C
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Let C's share = Rs. x
Then, B's share = Rs. \(\frac{x}{4}\) , A's share = Rs. \(\left(\frac{2}{3}\times\frac{x}{4}\right)= Rs.\frac{x}{6}
\)
Therefore \(\frac{x}{6} + \frac{x}{4}+x = 1360
\)
\(\Rightarrow\frac{17x}{12}=1360\)
\(\Rightarrow x = \frac{1360\times12}{17} = Rs .960\)
Hence, B's share = Rs. \(\left(\frac{960}{4}\right)= Rs. 240.\)
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