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      Question

      In a firm, P, Q, and R invested Rs. 1500, Rs. 1800 and Rs.

      2100 respectively. After 6 months, P withdrew Rs. 300, Q withdrew Rs. 800 and R withdrew Rs. 600. If P and Q together got Rs. 660 as profit, what was the share of R?
      A Rs.432 Correct Answer Incorrect Answer
      B Rs.440 Correct Answer Incorrect Answer
      C Rs.500 Correct Answer Incorrect Answer
      D Rs.665 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Profit ratio of P, Q, R

      = {(1500×6) + (1200×6)} : {(1800×6) + (1000×6)} : {(2100×6) + (1500×6)}

      = (9000 + 7200) : (10800 + 6000) : (12600 + 9000)

      = 16200 : 16800 : 21600

      = 27 : 28 : 36

      R's profit = 660 × (36 / (27 + 28)) = 660 × (36 / 55) = Rs. 432

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