The banker’s gain on a certain sum due 1½ years hence is 3/25 of the banker’s discount. The rate percent is :	Choose the most appropriate option
A) 3 1/3 % B) 6 1/6 % C) 9 1/9 % D) 9 1/6 % E) None
Sol.   Let B.D. = Re 1. Then, B.G. = Re 3/25.   ∴ T.D. = (B.D. - B.G.) = Re[1 - 3/25] = Re 22/25.   Sum = [1 * 22/25 / 1 - 22/25] = Rs. 22/3.   S.I. on Rs. 22/3 for 1 ½ years is Re 1.   ∴ Rate = [100 * 1 / 22/3 * 3/2] % = 9 9/1%.   Answer 9 1/9 %
<result>C</result>
The banker’s gain on a certain sum due 1½ years hence is 3/25 of the banker’s discount. The rate percent is :