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      Question

      ‘A’, ‘B’ and ‘C’ divide a certain sum of money

      among themselves. The average of the amount with them is Rs. 4520. Share of ‘A’ is 10(2/3)% more than share of ‘B’ and 33(1/3)% less than share of ‘C’. What is the share of ‘B’ (in Rs.)?
      A 3600 Correct Answer Incorrect Answer
      B 3876 Correct Answer Incorrect Answer
      C 1670 Correct Answer Incorrect Answer
      D 2560 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let share of ‘B’ = Rs. 90x

      Share of ‘A’ = 90x + {(32/3)% of 90x) = Rs. 99.6x

      Share of ‘C’ = (3/2) × 99.6x = Rs. 149.4x

      Total amount with ‘A’, ‘B’ and ‘C’, together = 4520 × 3 = Rs. 13560

      So, 90x + 99.6x + 149.4x = 13560

      Or, 339x = 13560

      Or, x = 40

      So, share of ‘B’ = 90x = 90 × 40 = Rs. 3600

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