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Discussion :: Banker's Discount

  1. The banker's gain on a certain sum due 1 \(\frac { 1 } { 2 } \) years hence is \(\frac { 3} { 25 } \) of the banker's discount. The rate percent is:

  2. A.

    5\(\frac { 1 } { 5 } \)%

    B.

     9\(\frac { 1 } { 11 } \)%

    C.

    \(\frac { 1 } { 8 } \)

    D.

    \(\frac { 1 } {6 } \)%

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    Answer : Option B

    Explanation :

    Let, B.D = Re. 1.

     

    Then, B.G. = Re .\(\frac { 3 } { 25 }\)

     

     T.D. = (B.D. - B.G.) = Re [1-\(\frac { 3 } { 25 }\) ]= Re.\( \frac { 22 } { 25 } \)

     

        Sum = [\([\frac { 1 *(22/25) } { 1-(22/25) }]\) =Rs.\( \frac { 22 } { 3 } \)

     

       S.I. on Rs. \( \frac { 22 } { 3 } \) for 1 \(\frac { 1 } { 2 } \)yeras is Re .1.

     

      Rate = \([\frac { 100*1 } { 22/3*3/2 } ]\)% = \(\frac { 100 } { 11 } \) = 9 \(\frac { 1} { 11 } \)%

     


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