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    If ₹2,000 is invested at an annual compound interest rate of 6% for 3 years, what is the amount after 3 years? (In nearest rupee)
    Question

    If ₹2,000 is invested at an annual compound interest rate of 6% for 3 years, what is the amount after 3 years? (In nearest rupee)

    A.

    ₹2,375

    B.

    ₹2,412

    C.

    ₹2,396

    D.

    ₹2,382

    Correct option is D

    Given:

    Principal (P) = ₹2,000

    Annual compound interest rate (R) = 6%

    Time (T) = 3 years

    Formula Used:

    The formula for compound interest is:

    A = P×(1+R100)TP \times \left(1 + \frac{R}{100}\right)^T​​

    Where:

    A is the amount after T years

    P is the principal

    R is the interest rate per annum

    T is the time in years

    Solution: 

    Applying the formula;

    A=2000×(1+6100)3A = 2000 \times \left(1 + \frac{6}{100}\right)^3​​

    =2000×(1.06)3= 2000 \times \left(1.06\right)^3​​

    =2000 × 1.191016

    = ₹2,382.03

    Thus, the amount be ₹2,382(nearest integer)

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