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    The compound interest on ₹36,000 lent at 10% per annum for 2 years, if the interest is compounded annually, is
    Question



    The compound interest on ₹36,000 lent at 10% per annum for 2 years, if the interest is compounded annually, is

    A.

    ₹7,560

    B.

    ₹9,000

    C.

    ₹9,738

    D.

    ₹11,916

    Correct option is C


    We use formula
    For 2(1/2) years, A = P[1 + (R/100)]2 × [1 + (R/200)]
    CI = A - P
    Where, Amount = A, Principal = P, Compound Interest = CI
    According to the question
    A = 36000 × [1 + (10/100)]2 × [1 + (10/200)
    A = 36000 × (11/10) × (11/10) × (21/20)
    A = 36000 × (121/100) × (21/20)
    A = 18 × 121 × 21 = Rs. 45,738
    Now, CI = A - P
    = 45,738 – 36000 = Rs. 9,738

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