Aptitude - True Discount - Discussion

Discussion Forum : 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:
Rs. 1386
Rs. 1764
Rs. 1575
Rs. 2268
Answer: Option
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.

Discussion:
12 comments Page 1 of 2.

Jay said:   10 years ago
Why multiplied by 1/100?
(1)

Dinesh said:   4 years ago
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.
(1)

Aditya said:   1 decade ago
What is P. W and S. I in the solution?

ARUNDEEP SINGH said:   1 decade ago
TD(100+RT)=ART.

189(100+9/12*16)=A 9/12*16.

189*112/12 = 1764.

Subrat said:   1 decade ago
Why is the true discount added and not subtracted ?

Praneeth said:   1 decade ago
@Subrat.

Amount = (Present Worth(PW)) + (True Discount (TD)).

Please check the "Important Formulas" which is available above left side.

Shubham bansal said:   1 decade ago
What is meant by true discount?

Sam said:   9 years ago
" 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:   8 years ago
What is PW and why SI=TD here?

Revathi said:   8 years ago
Can you explain in detail?


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