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 3 of 5.

Suyeb said:   1 decade ago
What does true discount mean? is it means the amount of interest for a certain time of a certain amount of money?

Thunderhemu said:   1 decade ago
How come 15% I can't understand since 122 is the interest for 4 months then for each month it is 30.5,

Then it should be 12.5%,

Since 10% 24.4 and 2.5 % is 6.1 so the should be 12.5%.

I guess can you explain it please.

Priyanka said:   1 decade ago
Rate percent is normally calculated for a year by doing 30.5/2440 we are not calculating for a year since 30.5 corresponds to a month only.

Aachu..... said:   1 decade ago
Friends,

SI = interest on principal amount,

in the same way,

TD = interest on present worth,so v take PW instead of principal.

In question they gave TD with principal,so we first calculate the PW from principal & TD using the formula PW= principal-TD and then we calculate rate using the formula which is similar to the SI.

Dinesh kumar sharma said:   1 decade ago
Dear guys:

Don't think so much about the formula of personal wealth and discount. Moreover its conceptual question.

If someone returning money in 4 month he will get discount of INR 122 over the amount.

So instead of paying 2562 he is only paying = 2440 before 4 month otherwise he will pay 2562 after 4 month.

So 2562-2440 = 122 is interest which we getting at the end of 4 month.
So simple interest is = 122.

Formula for s.i = p*r*t/100.

So r = s.i*100/p*t(time should be in year so we use 1/3 year).

r = 122*100/2440*1/3 = 15%.
(2)

Ram said:   1 decade ago
@Deepa you are only used in correct formula.

Ammy said:   1 decade ago
Answer explanation:

PW= 100*amount/R*T.

Therefore from the above formula , we need to find R. Hence formula becomes,

R= 100*amount/P*T ------(1).

Here amount = Rs.122 is the discount amount for 4 years.

P = 2562-122 = 2418 is the original amount after applying discount.
T= 4 out of 12 months i.e = 4/12 = 1/3.

Substitute the values in (1), you will get the answer

Sravanthi said:   1 decade ago
Is present worth and principal amount same here?

But in the previous question he calculated pw is 100 and principal is 122?

Amit said:   1 decade ago
Can anyone share formula of calculating rate of interest?

Suhasini said:   1 decade ago
Hi,

I can't understand the true discount concept. Can anyone explain me clearly step by step?


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