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      Question

      A and B started a business with the investments of Rs.

      (y-2000) and Rs. (y+4000) respectively. After 4 months of the start of the business, B left it and C joined it. The initial investment of C is Rs. 1000 less than the average of the initial investment of A and B together. If at the end of one year, the ratio between the profits of B and C is 5:8 respectively, then find out the initial investment of A is what percentage of the initial investment of C?
      A 81.5% Correct Answer Incorrect Answer
      B 96.5% Correct Answer Incorrect Answer
      C 92.5% Correct Answer Incorrect Answer
      D 85.5% Correct Answer Incorrect Answer
      E 87.5% Correct Answer Incorrect Answer

      Solution

      The initial investment of C is Rs. 1000 less than the average of the initial investment of A and B together.

      initial investment of C = [(y-2000)+(y+4000)]/2 - 1000

      = [2y+2000]/2 - 1000

      = y+1000-1000

      = y

      The ratio between the investment of A, B and C with respect to the time = (y-2000)x12 : (y+4000)x4 : yx8

      = (y-2000)x3 : (y+4000) : yx2

      The ratio between the profits of B and C is 5:8 respectively.

      (y+4000)/2y = 5/8

      (y+4000)/y = 5/4

      4y+16000 = 5y

      5y-4y = 16000

      y = 16000

      Required percentage = [(y-2000)/y]x100

      = [(16000-2000)/16000]x100

      = [14000/16000]x100

      = 14000/160

      = 87.5%

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