Aptitude - True Discount - Discussion

Discussion Forum : True Discount - General Questions (Q.No. 11)
11.
Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?
Rs. 10
Rs. 10.40
Rs. 15.20
Rs. 13
Answer: Option
Explanation:

S.I. on Rs. (260 - 20) for a given time = Rs. 20.

S.I. on Rs. 240 for half the time = Rs. 10.

T.D. on Rs. 250 = Rs. 10.

T.D. on Rs. 260 = Rs. 10 x 260 = Rs. 10.40
250

Discussion:
24 comments Page 1 of 3.

Pooja said:   1 decade ago
Please elaborate the explanation.

Kuldeep said:   1 decade ago
Please explain this answer.

Shivam said:   1 decade ago
Please explain how this method is wrong
Amount is 260
PW would be (260-20)=240
20=240xrxt/100
rt=100/12

if t=t/2

TD=240 x r x t/2 x r/100
TD=240 x 100/2400
TD=10

Shivam said:   1 decade ago
How simple interest is different from True Value, it seems both are same.

Please give example of both.

Anshika said:   1 decade ago
I am unable to understand such type of ques, SI & CI ques, I can solve but there occur many problems when I solve it, please tell me easy of understand such type of questions.

Thanks.

LARA said:   1 decade ago
First we have to find the value of (R*T) using the formula for PRESENT WORTH.
AMT = PRESENT WORTH + TRUE DISCOUNT.

Then calculate the value for (T/2) i.e., (R*T)/2, using this value and the same amount calculate the new PRESENT WORTH.

Nagaraj said:   1 decade ago
Case 1:

PW would be (260-20) = 240.

20 = 240xrxt.

rt = 1/12.

case 2:

Sum due = 260, let's take true discount be 'X'.

PW = 260-X.

t = t/2 => rt = 1/24.

X = (260-X) x 1/24

25X = 260

X = 10.4.

T.D = 10.4.
(2)

Harini said:   1 decade ago
How S.I and true discount equal?

Aparna said:   1 decade ago
ptr/100 = SI.

240*tr = 2000.

Then tr = 2000/240.

Then how did you got that 1/12?

Please tell me.

Shivangi said:   1 decade ago
What is SI?


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