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      Question

      'A' started a business with Rs. 9,600. After 5 months,

      'A' reduced his investment by Rs. 2,400 and 'B' joined the business with Rs. 11,200. At the end of 17 months from the start, the profit share of 'A' was Rs. 8,500. What was the profit share of 'B'?
      A Rs. 8,500 Correct Answer Incorrect Answer
      B Rs. 10,750 Correct Answer Incorrect Answer
      C Rs. 12,720 Correct Answer Incorrect Answer
      D Rs. 17,750 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, A's investment for first 5 months = 9600 × 5 = 48000 A reduced his investment by Rs. 2400 after 5 months New investment of A = 9600 - 2400 = 7200 Remaining time = 17 - 5 = 12 months A's investment for next 12 months = 7200 × 12 = 86400 Total investment-months of A = 48000 + 86400 = 134400 B joined after 5 months with Rs. 11200 B's investment time = 12 months Total investment-months of B = 11200 × 12 = 134400 Profit sharing ratio of A : B = 134400 : 134400 = 1 : 1 So, profit share of A = profit share of B Given profit share of A = Rs. 8,500 Profit share of B = Rs. 8,500

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