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Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R?

Correct answer: B. Rs.500

  • A. Rs.400
  • B. Rs.500
  • C. Rs.300
  • D. Rs.600
  • E. None of these

Explanation

The conditions give P = (Q + R)/2 and Q = (P + R)/3, or Q + R = 2P and P + R = 3Q. Solving with P + Q + R = Rs.1200 gives P = Rs.400, Q = Rs.300 and R = Rs.500. A likely choice is option a, Rs.400, from confusing P's amount with R's amount after finding P first.

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