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      Question

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

      8,000 and Rs. 10,000 respectively. ‘x’ months later, they admitted ‘C’ as a partner who invested Rs. 6,000. If at the end of the year, the profit share of ‘A’ was Rs. 9,600 out of the total profit of Rs. 24,000, then find the value of ‘x’.
      A 6 Correct Answer Incorrect Answer
      B 8 Correct Answer Incorrect Answer
      C 4 Correct Answer Incorrect Answer
      D 5 Correct Answer Incorrect Answer
      E 3 Correct Answer Incorrect Answer

      Solution

      Let ‘C’ invested for ‘m’ months. So,
      x = 12 − m Ratio of profit shares of ‘A’, ‘B’ and ‘C’
      = (8000 × 12) : (10000 × 12) : (6000 × m) = 96 : 120 : 6m ATQ, 9600 / 24000 = 96 / (96 + 120 + 6m) 2 / 5 = 96 / (216 + 6m) 216 + 6m = 240 6m = 24 m = 4 So, x = 12 − 4 = 8

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