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      Question

      Anoop' initiated a Canteen Business by investing Rs.

      15,000. 't' months later, 'Arvind' joined him with an investment of Rs. 10,000. After 4 months of joining the business, 'Arvind' augmented his investment by Rs. 2,500. At the end of the year, the profits were distributed between 'Anoop' and 'Arvind' in the ratio of 2:1. Determine the value of 't'.
      A 2 Correct Answer Incorrect Answer
      B 5 Correct Answer Incorrect Answer
      C 4 Correct Answer Incorrect Answer
      D 8 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, we can say that Ratio of profit shares of 'Anoop' and 'Arvind' at the end of the year = (15000 × 12): [(t × 0) + (4 × 10000) + (12 - 4 - t) × 12500)] = 180000: [40000 + (8 - t) × 12500] = 180000: (140000 – 12500t) Then, [1800/(1400 - 125t)] = (2/1) Or, 900 = 1400 - 125t Or, 500 = 125t So, t = 4

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