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      Question

      ‘A’ and ‘B’ started a business by investing Rs.

      (x + 200) and Rs. (x – 800) for 8 months and 7 months, respectively. If the profit share of ‘A’ is Rs. 6900 out of total profit of Rs. 11500, then find the value of ‘x’.
      A 3000 Correct Answer Incorrect Answer
      B 3600 Correct Answer Incorrect Answer
      C 4200 Correct Answer Incorrect Answer
      D 4000 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      According to the question,

      Profit share of ‘B’ = 11500 – 6900 = Rs. 4600

      Therefore, {(x + 200) × 8}:{(x – 800) × 7} = 6900:4600

      Or, 16(x + 200) = 21(x – 800)

      Or, 16x + 3200 = 21x – 16800

      Or, 5x = 20000

      Or, x = 4000

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