Banker Simple


SIMPLE PROBLEM
 1.If the true discount on a certain sum due 6 months hence at 15% is
Rs 120.What is the bankers discount on the same for same time and the same rate.
Sol:-                  B.G = S.I on T.D
                                 = RS (120 * 15 * ½  * 1/100)
                                 = 9
                       (B.D) - (T.D) = 9
                                 B.D = 120 + 9 =129
2.The bankers discount on Rs 1800 at 12 % per annum is equal to the
     true discount on Rs 1872 for the same time at the same rate .Find
     the time.
Sol:-                S.I on Rs 1800 = T.D on Rs 1872
                           P.W of Rs 1872 is Rs 1800
                          Rs 72 is S.I on Rs 1800 at 12%
                           Time = (100 * 72)/(12 * 1800)
                                    = 1/3 years = 4 months

3.The bankers discount and true discount on a sum of money due 8 months
    hence are Rs.120 & Rs.110 resp. Find the sum  & the rate per cent
Sol:-                      Sum = (B.D * T.D) / (B.D) - (T.D)
                                      = (120 * 110) / (120 - 110)
                                      = 1320
      Since B.D is S.I on sum due, so S.I on Rs 1320 for 8 months is
         Rs 120
                            Rate = (100 * 120) / (1320 * 2/3)
                                     = 13  7/11%


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