Aptitude - True Discount - Discussion

Discussion Forum : True Discount - General Questions (Q.No. 2)
2.
The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is:
12%
13 1 %
3
15%
14%
Answer: Option
Explanation:

P.W. = Rs. (2562 - 122) = Rs. 2440.

S.I. on Rs. 2440 for 4 months is Rs. 122.

Rate = 100 x 122 % = 15%.
2440 x 1
3

Discussion:
47 comments Page 4 of 5.

Khin Myat Kyu said:   1 decade ago
2562 is sum of the money borrowed and true discount for 4 months.

So 2562 = The money borrowed+122.

The money borrowed = 2562-122 = 2440.

Then,

4 months (1/3 year) ===> 122.
12 months (1 year) ===> 366.

And,

Rs. 2440 ===> 366.
Rs. 100 ===> (100*366)/2440 = 15 %
(1)

Raman said:   10 years ago
2562 is money = B.D = 122.

2562-122 = 2440.

Then 4/12 = 1/3.

1/3 = 122 days.
1/12 = 366 days.

100*366/2440 = 15%.

Sakthivel said:   10 years ago
P.W = Amount - T.D.

So P.W = 2440.

T.D = (P.W)*R*T.

100 they ask rate percent.

So R = (100*T. D)/(P.W*T) %.

R = (100*122)/(2440*1/3).

= (100*122*3)/(2440*1).

Answer: 15%.

Divyesh said:   10 years ago
S.I means?

GANESH TANDEL said:   9 years ago
In the question there must not mention that true discount amount is inclusive or exclusive on Rs. 2562/-.

How anyone could assumed to be that?

Answer should be 14% if it is exclusive or 15% if it is inclusive.

Ankush said:   9 years ago
I don't understand the concept of true discount. Can anyone help?

K.jeyendran said:   9 years ago
@Ankush.

Amount = present worth + true discount.
pw = amt - td.

2562 - 122.

pw = 2440.

TIME = 4 MONTHS / 12 =1/3.

SI = PTR / 100.

PTR = SI * 100.

R = (SI * 100) /PT.

R = (122 * 100) /2440 * 1/3.

You have finally get the answer for the rate of present value, below.

R = 15%.
(4)

Sahil Khann said:   8 years ago
Excellent work @Slovan.

Purushottam said:   8 years ago
I don't understand it. Please explain me.
(2)

Biju said:   7 years ago
I don't understand it. Can you please explain me?


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