Aptitude - True Discount - Discussion

Discussion Forum : True Discount - General Questions (Q.No. 3)
3.
A trader owes a merchant Rs. 10,028 due 1 year hence. The trader wants to settle the account after 3 months. If the rate of interest 12% per annum, how much cash should he pay?
Rs. 9025.20
Rs. 9200
Rs. 9600
Rs. 9560
Answer: Option
Explanation:
Required money = P.W. of Rs. 10028 due 9 months hence
= Rs. 10028 x 100
100 + 12 x 9
12
= Rs. 9200.
Discussion:
53 comments Page 2 of 6.

Anonymous said:   6 years ago
Please understand the basic concept, in question, they asked about the present worth.

So, and we know 10028 is the money after one year of something present worth so to calculate after 3 months which means. Whatever the present worth it should have to reach eqaul to 10028 after the 9 month.

Suppose if he asked after the 9 month then meaning of question will be, you have to calculate money which should have to reach 10288 after three months.
(1)

Sabari said:   9 years ago
@gopikrishna. From where did you get PW? I'm sorry, I can't understand the question.

Manjunath said:   8 years ago
In this question, the time is given as 1 year so the amount to be paid is 10028.

Now, he wants to pay in 3 months. And question is, what is the amount he pays. so the pw of the money in the 3rd month should be calculated.
Now the amount 10028 is for 1 year and so if we use time as 1 year we get pw of 1 year before but what we need is the pw of the money after 3 months so the time reduces to 9 months from 1 year.

Gopikrishna said:   10 years ago
1. P.W = 10028*100.

2. Due have payed in 3 months = 9/12.

3. Interest = 12%.

4. Rs = (10028*100)/100+(12*9/12).

5. 9200.

Shibam Gupta said:   10 years ago
I got the answer as 9222 and I think if you go conceptually then it is right. Because if you pay interest, then you pay it on the actual principal and not from the amount where interest is already included.

Vishwajeet said:   1 decade ago
10028 = p+prt/100 = p+12p/100 = 112p/100.

=> p = 10028*100/112 = 8953.57.

Now for 3 months.

Amount = p+prt/100 = p+3p/100 = 103p/100.

Therefore, amount = 103*8953.57/100 = 9222.17.

Only solution!

B>is Round Off.

Neha said:   1 decade ago
I didn't understand the formula for P.W. Please help.

Shivangi said:   1 decade ago
In previous formula what amount should be considered as amount specified in it? amount adding true discount or present worth.

It is not about this example specifically in general for all problems. Can anyone help me?

Dhanjit said:   1 decade ago
Guys, where I will be able to get the full concept on this chapter please help. I too calculated PW as 8953.57 first. Please suggest a book or any other link. Thank you.

Ashish said:   1 decade ago
PW = Present worth.


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