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    Find the compound interest on 1,200 at 12% p.a. for 6 months compounded quarterly.
    Question

    Find the compound interest on 1,200 at 12% p.a. for 6 months compounded quarterly.

    A.

    Rs. 74.08

    B.

    Rs.72.08

    C.

    Rs.73.08

    D.

    Rs.71.08

    Correct option is C

    Given:

    P = Rs. 1200

    r = 12%

    t = 6 months

    Formula Used:

    CI = P [(1 + r/100)t– 1]

    If interest compounded quarterly, then

    r = 12/4 = 3%

    t = 6/12 × 4 = 2 years

    Solution:

    CI = P [(1 + r/100)t– 1]

    => CI = 1200[(1 + 3/100)2– 1]

    => CI = 1200 × [103/100 × 103/100 – 1]

    => CI = 1200 × (10609 – 10000)/10000

    => CI = 1.2 × 609/10

    => CI = Rs. 73.08

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