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    Question

    A and B entered into a business investing Rs. (x + 77)

    and Rs. (x – 55) respectively. After one year they invested Rs. 40 more and Rs. 159 more respectively. After 2 years, ratio of the profit shares of A to B is 12:7. Find the value of x.
    A 70 Correct Answer Incorrect Answer
    B 78 Correct Answer Incorrect Answer
    C 77 Correct Answer Incorrect Answer
    D 74 Correct Answer Incorrect Answer
    E 79 Correct Answer Incorrect Answer

    Solution

    Ratio of profit share of A to B = [x + 77 + x + 77 + 40]:[x – 55 + x – 55 + 159] = [2x + 194]:[2x + 49] According to question; (2x + 194)/(2x + 49) = 12/7 => 14x + 1358 = 24x + 588 => 10x = 770 => x = 77

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