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 2 of 5.

Raghul said:   6 years ago
Easy, I'll explain:

T.D =122;Amount = 2562.

Hence, initial amount = 2562 - 122 = 2440.
Pnr/100 = 122.

2440*4/12*x/100 = 122.
Ans:x = 15%.
(2)

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.

Slovan said:   1 decade ago
What about this?

122= 4months => 1month = 30.5 => for a year 12*30.5= 366

2562-122= 2440

366/2440= 0.15 => 15%

ARJUN---> said:   1 decade ago
@Shreya

Formula used by you is wrong.

It is,

amount=present worth(pw)+true discount(td)

and hence, its comes as

pw=amount-td

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?

Rahul Sharma said:   3 years ago
Simply solution :

2862-122 = 2440,
(122/2440)*100 = 5% --- for 4 months
Then for 12 months, it will be 5% * 3 = 15%.
(9)

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%.

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?

Rohith said:   1 decade ago
I didn't undersatnd the usage of 1/3 in this solution.

Can any one help me in sorting out this problem?

Aishu said:   1 decade ago
100*122/2440*(1/3)
1/3 can be written as 100*122*3/2440*1
by solving this equation we get the value 15%


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