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      Question

      X and Y began a business with Rs. 12,000 and Rs. 15,000

      respectively. After 3 months, X decreased his capital by Rs. 2,000 and Z invested Rs. 10,000 in the business. What is X's share of the total profit of Rs. 31,500 earned at the end of the year?
      A Rs.12,000 Correct Answer Incorrect Answer
      B Rs.10,000 Correct Answer Incorrect Answer
      C Rs.15,200 Correct Answer Incorrect Answer
      D Rs.17,500 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Ratio of profit share of X, Y and Z:

      = (12000 × 3 + 10000 × 9) : (15000 × 12) : (10000 × 9)

      = 21 : 30 : 15

      Therefore, profit share of X = (21 / 66) × 31500 = Rs. 10,000

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