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      Question

      P and Q invested a total of Rs.32000 in a business.

      Period of investment of P & Q is 10 months and 8 months respectively. If at the end of the year, P & Q received profit in the ratio 3:4 respectively, then find amount invested by P.
      A 20000 Correct Answer Incorrect Answer
      B 18000 Correct Answer Incorrect Answer
      C 14000 Correct Answer Incorrect Answer
      D 16000 Correct Answer Incorrect Answer
      E 12000 Correct Answer Incorrect Answer

      Solution

      Let amount invested by P be Rs.p. So, amount invested by Q = Rs. (32000 – p) So, profit sharing ratio of P to Q = (p × 10): [(32000 – p) × 8] => 5p ∶  (128000 – 4p) According to question, => 5p/(128000 – 4p) = 3/4 => p = Rs.12000

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