# Aptitude - True Discount - Discussion

### Discussion :: True Discount - General Questions (Q.No.7)

7.

The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is:

 [A]. Rs. 1386 [B]. Rs. 1764 [C]. Rs. 1575 [D]. Rs. 2268

Explanation:

Let P.W. be Rs. x.

Then, S.I. on Rs. x at 16% for 9 months = Rs. 189. x x 16 x 9 x 1 = 189 or x = 1575. 12 100 P.W. = Rs. 1575. Sum due = P.W. + T.D. = Rs. (1575 + 189) = Rs. 1764.

 Aditya said: (Feb 4, 2012) What is P. W and S. I in the solution?

 Arundeep Singh said: (Mar 22, 2013) TD(100+RT)=ART. 189(100+9/12*16)=A 9/12*16. 189*112/12 = 1764.

 Subrat said: (Jan 19, 2014) Why is the true discount added and not subtracted ?

 Praneeth said: (Jan 31, 2014) @Subrat. Amount = (Present Worth(PW)) + (True Discount (TD)). Please check the "Important Formulas" which is available above left side.

 Shubham Bansal said: (Jul 21, 2015) What is meant by true discount?

 Jay said: (Mar 10, 2016) Why multiplied by 1/100?

 Sam said: (Dec 12, 2016) " at 16% per annum is Rs. 189"- So amount Rs. 189 is for 12 months as it is given per annum, isn't it? Then how come "S. I. On Rs. X at 16% for 9 months = Rs. 189"- is this Rs. 189 for 9 months? Kindly help!

 Vivek Kumar Dhanuk said: (Apr 14, 2017) What is PW and why SI=TD here?

 Revathi said: (Mar 28, 2018) Can you explain in detail?

 Bruce said: (Sep 30, 2020) In question, it is given the amount of the bill, how to know if they are asking about Present Value or Due amount? Please tell me.

 Zeeshan said: (Apr 27, 2021) Why discount is added to the bill? instead of subtract. Please explain.

 Dinesh said: (Oct 13, 2021) TD = AMT * R * T/100+(R * T) TD = 189, R=16,T=3/4 189 = Amt * 3/4 * 16/100+(16 * 3/4). Amt = 1764.