₂₅ of the banker's discount. The rate percent is:

15¹/₅ %
29¹/₁₁ %
38¹/₈ %
46¹/₆ %

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Let,B .D . = Re . 1. \\ Then, B .G . = Re . \frac{3}{25} . \\ ∴ T .D . = (B .D . - B .G .) \\ = Re . (1 - \frac{3}{25}) \\ = Re . \frac{22}{25} . \\ Sum = (\frac{1 \times (22 / 25)}{1 - (22 / 25)}) \\ = R s . \frac{22}{3} . \\ S .I . on R s . \frac{22}{3} f o r 1 \frac{1}{2} years is Re . 1. \\ ∴ Rate = (\frac{100 \times 1}{\frac{22}{3} \times \frac{3}{2}}) % \\ = \frac{100}{11} % \\ = 9 \frac{1}{11} % \end{aligned}

$\eqalign{ & {\text{Let,B}}{\text{.D}}{\text{.}} = \operatorname{Re} .\,1. \cr & {\text{Then,}}\,{\text{B}}{\text{.G}}{\text{.}} = \operatorname{Re} .\,\frac{3}{{25}}. \cr & \therefore {\text{T}}{\text{.D}}{\text{. = }}\left( {{\text{B}}{\text{.D}}{\text{. - B}}{\text{.G}}{\text{.}}} \right) \cr & = \operatorname{Re} .\,\left( {1 - \frac{3}{{25}}} \right) \cr & = \operatorname{Re} .\,\frac{{22}}{{25}}. \cr & {\text{Sum}} = \left( {\frac{{1 \times \left( {22/25} \right)}}{{1 - \left( {22/25} \right)}}} \right) \cr & = Rs.\,\frac{{22}}{3}. \cr & {\text{S}}{\text{.I}}{\text{.}}\,{\text{on}}\,Rs.\,\frac{{22}}{3}\,for\,1\frac{1}{2}{\text{years}}\,{\text{is}}\,\operatorname{Re} .\,1. \cr & \therefore {\text{Rate}} = \left( {\frac{{100 \times 1}}{{\frac{{22}}{3} \times \frac{3}{2}}}} \right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{100}}{{11}}\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 9\frac{1}{{11}}\% \cr}$