The banker's discount of a certain sum of money is Rs. 36 and the true discount on the same sum for the same time is Rs. 30. What is the sum due?

Solution (By Examveda Team)

$$\eqalign{ & F = \frac{{BD \times TD}}{{(BD - TD)}} \cr & \,\,\,\,\,\,\, = \frac{{36 \times 30}}{{(36 - 30)}} \cr & \,\,\,\,\,\,\, = \frac{{36 \times 30}}{6} \cr & \,\,\,\,\,\,\, = 36 \times 5 \cr & \,\,\,\,\,\,\, = {\text{ Rs}}{\text{. }}180 \cr} $$