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Discussion :: True Discount

  1. Goods were bought for Rs. 600 and sold the same for Rs. 688.50 at a credit of 9 months and thus gaining 2% The rate of interest per annum is:

  2. A.

    16\(\frac { 2 } { 3 }\)%

    B.

    14\(\frac { 1 } { 2 }\)%

    C.

    13\(\frac { 1 } { 3 }\)%

    D.

    15%

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    Workspace

    Answer : Option A

    Explanation :

     

    Now, P.W. = Rs. 612 and sum = Rs. 688.50.

     

     T.D. = Rs. (688.50 - 612) = Rs. 76.50.

     

    Thus, S.I. on Rs. 612 for 9 months is Rs. 76.50.

     

     Rate =\([\frac { 100*76.50 } {612 *3/4} ]\)%=16\(\frac { 2 } { 3 }\)%

    S.P. = 102% of Rs. 600 = 102 x 600 = Rs. 612.
    100


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