The bankers discount and the true discount of a sum at 10% per annum…

Question

The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs. 100 and Rs. 80 respectively. What is the sum and the time?

Accepted Answer

Option C. Sum = Rs. 400 and Time = 2.5 years. Answer & Solution Answer: Option C Solution: & BD = Rs.100 & TD = Rs .\,80 & R = 10\% & F = BD × TD(BD - TD) & \,\,\,\,\,\,\, = 100 × 80(100 - 80) & \,\,\,\,\,\,\, = 100 × 8020 & \,\,\,\,\,\,\, = Rs .\,400 BD = Simple Interest on the face value of the bill for unexpired time = F…