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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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