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    A money lender borrows a sum of ₹7,000 from market at compound interest at a rate of 5% per annum, compounded annually. The amount paid after two
    Question

    A money lender borrows a sum of ₹7,000 from market at compound interest at a rate of 5% per annum, compounded annually. The amount paid after two year will be:

    A.

    ₹7,800

    B.

    ₹7,717.50

    C.

    ₹7,860.25

    D.

    ₹7,900

    Correct option is B

    Given:

    Principal (P) = ₹7,000

    Rate of interest (R) = 5% per annum

    Time (T) = 2 years

    Compound interest is compounded annually.

    Formula Used:
    The compound interest formula is:

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

    Solution :

    A=7000×(1+5100)2 =7000×(1.05)2=7000×1.1025=7717.50A=7000 \times \left(1 + \frac{5}{100}\right)^2 \\ \ \\= 7000 \times (1.05)^2 = 7000 \times 1.1025 = 7717.50

    The amount to be paid after two years is ₹7717.50.

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