# Aptitude - True Discount - Discussion

### Discussion :: True Discount - General Questions (Q.No.9)

9.

The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is:

 [A]. 6 months [B]. 8 months [C]. 9 months [D]. 10 months

Explanation:

P.W. = Rs. (1760 -160) = Rs. 1600. S.I. on Rs. 1600 at 12% is Rs. 160. Time = 100 x 160 = 5 years = 5 x 12 months = 10 months. 1600 x 12 6 6

 Www said: (Sep 30, 2011) On the amount of 1760/- he got T.D of 160/- with rate of interest of 12% So we can directly use the formula T.D=(AMOUNT*R*T)/(100+[R*T])

 Hari said: (Jun 9, 2012) But formula should be TD= (A*R*T)/(100+R)^t isn't it??

 Banu said: (Apr 7, 2013) What is R and T in the formula?

 Durga said: (Aug 12, 2014) Hi am Durga, I want to knowing about the solution & I don't know how can get the 5/6 for 160*100/1600*12.

 Abhishek Kumar said: (Nov 9, 2014) Amount = S.I + P. Here P = 1760-160 = 1600. 160 = 1600*12*t/100. Which gives t = 5/6 years. Now, 5/6*12 = 10 months.

 Anjali said: (May 17, 2016) 5/6 is the fractional months so we have to convert it into a calendar month. So, we can say that if 1 year is equal to 12 months then how much year or month is equal to 5/6 (In cross multiplication).

 Raj said: (Jan 22, 2017) What is P.W? Explain.