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    Question

    A and B invested Rs.2x and Rs.2400 in a scheme at simple

    interest at 8% p.a. The investment time of B is 1 year more than that of A.The ratio of interest obtained by A and B is 4:29 respectively. Find the difference between the interests obtained by A and B.
    A Rs.120 Correct Answer Incorrect Answer
    B Rs.200 Correct Answer Incorrect Answer
    C Rs.100 Correct Answer Incorrect Answer
    D Can't be determined Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

                                     A                       B Investment =           2x                     2400 S.I %         =            8%                     8% Investment time =                       t                     (t+1) Given ratio =  4:29 (4/29) = {2xt/2400(t+1)}

    The given ratio of interests obtained by A and B is 4:29. We have two variables, x (related to the investment amount by A) and t (the time period), and only one equation derived from the ratio provided. Why It Can't Be Determined: The problem involves two variables (x and t), but there is only one equation linking them. Thus, there is insufficient information to find unique values for both x and t. Without additional constraints or a direct relationship between x and t, it is impossible to calculate the exact interest amounts or their difference. Hence, The answer is "can't be determined" because we lack enough information to solve for both x and t uniquely.

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