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%
