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    The amount that ₹4,375 computes in 2 years at annual compound interest, if the rates for the successive years be 8% and 12% per annum, respective
    Question

    The amount that ₹4,375 computes in 2 years at annual compound interest, if the rates for the successive years be 8% and 12% per annum, respectively, is:

    A.

    ₹4,417

    B.

    ₹5,292

    C.

    ₹4,812

    D.

    ₹5,250

    Correct option is B

    Given:

    Principal (P) = ₹4375

    Time = 2 years

    Rate for 1st year = 8%

    Rate for 2nd year = 12%

    We need the Amount (A).

    Formula Used:

    When successive years have different rates:

    A = P×(1+R1100)×(1+R2100) \times \left(1 + \frac{R_1}{100}\right) \times \left(1 + \frac{R_2}{100}\right)

    Solution:

    Apply formula

    A = 4375×(1+0.08)×(1+0.12)4375 \times (1 + 0.08) \times (1 + 0.12)

    = 4375×1.08×1.12 \times 1.08 \times 1.12

    = 5292

    The required amount = ₹5292

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