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      Question

      Four persons β€˜A’, β€˜B’, β€˜C’ and β€˜D’ have

      different amounts with them. β€˜D’ has twice amount than that of β€˜A’. The amount β€˜B’ has is 12.5% more than that of β€˜D’. The amount β€˜C’ has is equal to the average amount all four persons have. If the sum of the average amount all four have and the amount β€˜A’ has is Rs. 2200, then find the amount β€˜B’ has.
      A 1950 Correct Answer Incorrect Answer
      B 1700 Correct Answer Incorrect Answer
      C 1310 Correct Answer Incorrect Answer
      D 1800 Correct Answer Incorrect Answer
      E 1540 Correct Answer Incorrect Answer

      Solution

      Let β€˜A’ has Rs. a Therefore, amount possessed by β€˜D’ = Rs. 2a Amount possessed by β€˜B’ = 1.125 Γ— 2a = Rs. 2.25a Let the average amount possessed by all four be Rs. x Therefore, amount possessed by β€˜B’ = Rs. x According to the question, 2.25a + 2a + a = 4x – x Or, 5.25a = 3x Or, x/a = 7/4 Therefore, a = 2200 Γ— 4/11 = Rs. 800 Amount possessed by β€˜B’ = 2.25a = Rs. 1800

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