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    Question

    A sum of Rs. 9,600 grows to Rs. 12,696 when invested at

    an annual compound interest rate of 'R%' for 2 years. What is the value of 'R'?
    A 20 Correct Answer Incorrect Answer
    B 12 Correct Answer Incorrect Answer
    C 18 Correct Answer Incorrect Answer
    D 15 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    A = P x (1 + r/100)t┬а So, 12696 = 9600 x (1 + r/100)2┬а Or, 12696/9600 = (1 + r/100)2┬а Or, 529/400 = (1 + r/100)2┬а Or, (23/20)3 = (1 + r/100)2┬а Or, 1 + (R/100) = (23/20) Or, (R/100) = (3/20) So, 'R' = 15

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