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      Question

      H and V commenced a business with investments of Rs.

      (p+20000) and Rs. (p-20000), respectively. In the 8th month, H withdrew Rs. 40000 from the business. Given that V's share of the first year's profit, amounting to Rs. 17400, was Rs. 7200, determine the value of 'p'.
      A Rs.84000 Correct Answer Incorrect Answer
      B Rs.74000 Correct Answer Incorrect Answer
      C Rs.80000 Correct Answer Incorrect Answer
      D Rs.94000 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      Profit sharing ratio between H and V at the end of 1st year, => [(p+20000) x 8 + (p+20000 – 40000) x 4] : [(p-20000) x 12] => (3p + 20000) : (3p – 60000) According to the question, => [(3p – 60000)/{(3p+20000)+(3p-60000)}] x 17400 = 7200 => [(3p – 60000)/(6p – 40000)] x 17400 = 7200 On solving p we get, => p = Rs. 84000

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