# 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?