The bankers discount and the true discount of a sum at 20% per annum simple interest for the same time are Rs.200 and Rs.150 respectively. What is the sum and the time?	Pick.
A) Sum = Rs.600 and Time = 1.6 years
B) Sum = Rs.500 and Time = 1.6 years
C) Sum = Rs.400 and Time = 1.6 years
D) Sum = Rs.600 and Time = 3 years
E) None of these
Explanation :   BD = Rs.200   TD = Rs.150   R = 20%   F = BD ×TD/(BD – TD)=200×150/(200–150)=200×150/50=Rs. 600   BD = Simple Interest on the face value of the bill for unexpired time =FTR/100   ⇒200 = (600×T×20)/100   ⇒200 = 6 × T × 20 ⇒20 = 12 × T   ⇒ T = 20/12 = 1.6 years Sum = Rs.600 and Time = 1.6 yearsnswer : Option Sum = Rs.600 and Time = 1.6 years
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The bankers discount and the true discount of a sum at 20% per annum simple interest for the same time are Rs.200 and Rs.150 respectively. What is the sum and the time?