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

Answer: Option B

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?

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