The bankers discount and the true discount of a sum at 5% per annum simple interest for the same time are Rs.60 and Rs.40 respectively. What is the sum and the time? Choose the correct option
A) Sum = Rs.200and Time = 10 years
B) Sum = Rs.160 and Time = 10 years
C) Sum = Rs.140 and Time = 10 years
D) Sum = Rs.120 and Time = 10 years
E) None of these
Explanation :   BD = Rs.60   TD = Rs.40   R = 10%   F = BD ×TD/(BD – TD)=60×40/(60–40)=60×40/20=Rs. 120   BSum = Rs.120 and Time = 10 years = Simple Interest on the face value of the bill for unexpired time =FTR/100   ⇒60 = (120×T×5)/100   ⇒600 = 12 × T × 5⇒600 = 60 × T   ⇒ T = 600/60= 
<gadget id="calculator">600/60</gadget>
<output>10</output>
10 years Answer : Option Sum= Rs.120 and Time = 10 years
<result>D</result>
The bankers discount and the true discount of a sum at 5% per annum simple interest for the same time are Rs.60 and Rs.40 respectively. What is the sum and the time?