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      Question

      ‘A’ launched a business with an initial investment

      of Rs. 12,000. After ‘M’ months, ‘B’ became a partner by contributing Rs. 20,000. By the end of the year, the total profit was Rs. 6,100, out of which ‘B’ received Rs. 2,500. Determine the number of months ‘M’ after which ‘B’ joined the business.
      A 5 Correct Answer Incorrect Answer
      B 7 Correct Answer Incorrect Answer
      C 6 Correct Answer Incorrect Answer
      D 8 Correct Answer Incorrect Answer
      E 4 Correct Answer Incorrect Answer

      Solution

      Ratio of profit shares of ‘A’ and ‘B’ = (12000 × 12):{(12 – M) × 20000} = 36:(60 – 5M) Profit share of ‘A’ = 6100 – 2500 = Rs. 3,600 ATQ; {36/(60 – 5M)} = (3600/2500) Or, 60 – 5M = 36 × (25/36) Or, 5M = 35 Or, M = 7

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