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    Question

    The difference between the compound interest, compounded

    annually and simple interest on Rs. β€˜P’ at the rate of 25% p.a. for 2 years, is Rs. 120. If Rs. (P + 1600) is invested at the same rate p.a., then find the compound interest, compounded annually earned after 3 years.
    A Rs. 3591 Correct Answer Incorrect Answer
    B Rs. 3355 Correct Answer Incorrect Answer
    C Rs. 3050 Correct Answer Incorrect Answer
    D Rs. 3822 Correct Answer Incorrect Answer
    E Rs. 2548 Correct Answer Incorrect Answer

    Solution

    Using formula Difference = Sum(R/100)2 Or, 120 = P(25/100)2 Or, 120 = P(625/10000) Or, 0.0625P = 120 Or, P = 1920 Sum that is invested on compound interest = 1920 + 1600 = Rs. 3520 Compound interest = 3520(1 + 25/100)3 – 3520 = 3520 Γ— (5/4) Γ— (5/4) Γ— (5/4) – 3520 = 6875 – 3520 = Rs. 3355

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