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    In how many years, Rs. 80,000 will become Rs. 92,610 at 10% per annum interest compounded half yearly?
    Question

    In how many years, Rs. 80,000 will become Rs. 92,610 at 10% per annum interest compounded half yearly?

    A.

    3 years

    B.

    2 years

    C.

    1½ years

    D.

    1 year

    Correct option is C


    Given: Principal (P) = Rs. 80,000, Amount (A) = Rs. 92,610, Rate of interest (R) = 10% per annum compounded half-yearly.
    Formula Used: For compound interest compounded half-yearly:

    Where:
    · n = number of years
    · R = rate of interest per annum
    Solution:


    Hence, 2n=3, so n=3/2=1.5 years

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