An amount is lent at a nominal rate of 4.5% per annum compounded quarterly. What would
be the gain in rupees over when compou

An amount is lent at a nominal rate of 4.5% per annum compounded quarterly. What would
be the gain in rupees over when compounded annually.
(a) 0.56
(c) 0.76
(b) 0.45
(d) 0.85​

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  1. Step-by-step explanation:

    Correct option is

    C

    0.76

    Let the principal be Rs.1 and rate is 4.5% per annum

    Compounded Annually:-

    A=P(1+

    100

    r

    )

    n

    Compounded Quaterly:-

    A=P(1+

    400

    r

    )

    4n

    A=1(1+

    100

    4.5

    )

    1

    =

    100

    104.5

    =1.04500

    A=1(1+

    400

    4.5

    )

    4

    =(

    400

    404.5

    )

    4

    =1.04576

    Gain =0.00076

    Now, gain for Rs.1=0.00076

    Gain for Rs.1000=0.76

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