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.

A. 4 months

B. 5 months

C. 6 months

D. 3 months

Answer: Option A

Solution(By Examveda Team)

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%
$$\eqalign{ & {\text{Time}} = \frac{{100 \times 72}}{{12 \times 1800}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{1}{3}\,{\text{years}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 4\,{\text{months}} \cr} $$