The banker's discount on a bill due 6 months hence at 6% is Rs. 18.54. What is the true discount?

$ T = 6{\text{ months}} = \frac{1}{2}{\text{year}} $

$ R = 6\% $

$ TD = \frac{{BD \times 100}}{{100 + TR}} $

$ = \frac{{18.54 \times 100}}{{100 + \left( {\frac{1}{2} \times 6} \right)}} $

$ = \frac{{18.54 \times 100}}{{103}} $

$ = \frac{{1854}}{{103}} $

$ = {\text{Rs}}{\text{.}}18 $

Rs. 18

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