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    Mr Ram invests an amount of ₹12,200 at the rate of 2% per annum for 4 years to obtain a simple interest. Later he invests the principal amount as well
    Question

    Mr Ram invests an amount of ₹12,200 at the rate of 2% per annum for 4 years to obtain a simple interest. Later he invests the principal amount as well as the amount obtained as simple interest for another 4 years at the same rate of interest. What amount of simple interest will he get at the end of the last 4 years?

    A.

    ₹1,054.00

    B.

    ₹1,056.07

    C.

    ₹1,054.08

    D.

    ₹1,055.08

    Correct option is C

    Given:

    Principal (P) = ₹12,200
    Rate (R) = 2% per annum
    Time (T₁) = 4 years

    Formula Used:

    Simple Interest (SI) = P×R×T100\frac{P \times R \times T}{100}

    Solution:
    First 4 years:

    SI1=12200×2×4100=97600100=976\text{SI}_1 = \frac{12200 \times 2 \times 4}{100} = \frac{97600}{100} = ₹976​​

    New principal for next 4 years = ₹12200 + ₹976 = ₹13176

    SI2=13176×2×4100=105408100=1054.08\text{SI}_2 = \frac{13176 \times 2 \times 4}{100} = \frac{105408}{100} = ₹1054.08

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