1.A bill for Rs.6000 is drawn on July 14 at 5 months . It is 

discounted on 5th October at 10%.Find the bankers discount 

true discount, bankers gain and the money that the holder of

 the  bill receives.


Sol:-   
                  
Face value of the bill = Rs.6000

date on which the bill was drawn = July 14 at 5 months

                      nominally due date = December 14

                      legally due date = December 17

          Date on which the bill was discounted = October 5
            Unexpired time : Oct     Nov     Dec
                             26 +  30   +   17   =  73days =1/5 years
                    B.D = S.I on Rs 6000 for 1/5 year
                           = Rs (6000 * 10 * 1/5 * 1/100) = Rs 120
                    T.D = Rs(6000 * 10 *1/5)/(100 + (10 * 1/5))
                        = Rs. 117.64
                     B.G = (B.D) – (T.D)
                         = Rs(120 -117.64)
                         = Rs 2.36
           Money received by the holder of the bill
                         = Rs(6000 – 120) = 5880





			 
2. The bankers gain on a certain sum due  1 ½ year hence 

is 3/25 of the bankers discount .The rate percent is

Sol:-  
      Let B.D = 1 then B.G = 3/25
                             T.D = (B.D – B.G)
                                 = (1 – 3/25)
                                 = 22/25
                        sum = (1 * 22/25) / (1 – 22/25)
                                = 22/3
           S.I on Rs 22/3 for 1 ½ year is 1.
                        Rate = (100 * 1) / (22/3 * 3/2)
                            = 9 1/9%





3. The bankers gain of a certain sum due 2 years hence 

at 10% per annum is Rs 24 .The percent worth is

Sol:-  
  
      
                         T.D = (B.G * 100) / (Rate * Time)
                           00) / (10 * 2)
                             = 120.
                        P.W = (100 *T.D) / (Rate * Time)
                            = (100 * 120) /(10 * 2)
                            = 600





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