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    Swara deposited ₹75,000 with a finance company for 3 years at an interest of 12% per annum, compounded annually. What is the compound interest that Sw
    Question

    Swara deposited ₹75,000 with a finance company for 3 years at an interest of 12% per annum, compounded annually. What is the compound interest that Swara gets after 3 years?

    A.

    ₹33,609.25

    B.

    ₹33,009.60

    C.

    ₹30,369.60

    D.

    ₹30,036.25

    Correct option is C

    Given:

    Principal P = ₹75,000

    Rate R = 12%

    Time T = 3 years

    Formula Used:

    CI = P(1+R100)TPP \left(1 + \frac{R}{100}\right)^T - P​​

    Solution:

    CI=75000(1+12100)375000 =75000(1.12)375000 =75000×1.40492875000 =105,369.675000 =30,369.60CI = 75000 \left(1 + \frac{12}{100}\right)^3 - 75000 \\ \ \\ = 75000 \left(1.12\right)^3 - 75000 \\ \ \\ = 75000 \times 1.404928 - 75000 \\ \ \\ = 105,369.6 - 75000 \\ \ \\ = ₹30,369.60​​

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