The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.180 and Rs.120 respectively. What is the sum and the time?	Choose the correct choice from the following options.
A) Sum = Rs.380 and Time = 4 years  B) Sum = Rs.400 and Time = 6 years  C) Sum = Rs.320 and Time = 4 years  D) Sum = Rs.360 and Time = 5 years  E) None of these
Explanation :   BD = Rs.180   TD = Rs.120   R = 10%   F = BD ×TD/(BD – TD)=180×120/(180–120)=180×120/60=Rs. 360   BSum = Rs.360 and Time = 5 years = Simple Interest on the face value of the bill for unexpired time =FTR/100   ⇒180 = (360×T×10)/100   ⇒180 = 36 × T   ⇒ T = 180/36= 
<gadget id="calculator">180/36</gadget>
<output>5</output>
5 years Answer : Option Sum= Rs.360 and Time = 5 years
<result>D</result>
The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.180 and Rs.120 respectively. What is the sum and the time?