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Discussion

\(A\) and \(B\) together have \(RS. 1210.\) If \(\frac{4}{15}\) of \(A,s\) amount is equal to \(\frac{2}{5}\) of \(B's\) amount, how much amount does \(B\) have?

  • A.Rs. 664
  • B.RS. 550
  • C.Rs. 484
  • D.Rs. 460

Answer: C

\(\frac{4}{12}A = \frac{2}{5}B\)

\(\Rightarrow A = (\frac{2}{5} \times \frac{15}{4})B\)

\(\Rightarrow A = \frac{3}{2} B\)

\(\Rightarrow \frac{A}{B} = \frac{3}{2}\)

\(\Rightarrow A : B = 3 : 2.\)

\(\therefore B's\) share \(= RS. (1210 \times \frac{2}{5}) = Rs. 484\)

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