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      Question

      Rs 720 is to be divided among P, Q and R so that P gets

      3/5 of Q’s share and R gets 1/3 of P’s share. Share of R is:
      A Rs. 100 Correct Answer Incorrect Answer
      B Rs. 240 Correct Answer Incorrect Answer
      C Rs. 80 Correct Answer Incorrect Answer
      D Rs. 400 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the Q’s share be Rs x  P’s share = 3x/5 R’s share = (1/3) × (3/5) x = (1/5) x ⇒ x + (3x/5) + (1/5) x = 720 ⇒ (5x + 3x + x)/5  = 720 x = (720 × 5)/9 = 400 ∴ P’s share = Rs. 240 ∴ Q’s share = Rs. 400 ∴ R’s share = Rs. 80

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