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Aptitude - True Discount - Discussion

@ : Home > Aptitude > True Discount > General Questions - Discussion

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"Time and tide wait for none."
- Alexander Pope
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?

[A]. Rs. 9025.20[B]. Rs. 9200
[C]. Rs. 9600[D]. Rs. 9560

Answer: Option E

Explanation:

Required money = P.W. of Rs. 10028 due 9 months hence
= Rs. 10028 x 100
100 + 12 x 9
12
= Rs. 9200.


Shashi Mishra said: (Tue, Mar 1, 2011 10:42:47 AM)    
 
Why 100 is added in denominator?

Gnana said: (Sun, Mar 13, 2011 11:25:56 PM)    
 
How answer comes 9200? I have tried in my calculator but it show me 3963. 63, How could this possible, please can any one post here.

Sundar said: (Mon, Mar 14, 2011 01:02:21 AM)    
 
@Gnana

It is simple yar.

1. 10028 x 100 = 1002800

2. 100 + (12 x 9/12) ; here 12 will get cancelled, So 100+9 = 109

3. 1002800/109 = 9200 thats all.

Naveen said: (Fri, Apr 1, 2011 12:07:30 AM)    
 
You have done a good job. Superb and thanks.

Vidu said: (Wed, May 11, 2011 03:18:17 AM)    
 
How it s 9 months, please can anyone explain me ?

Mohan said: (Wed, Jun 8, 2011 05:09:04 PM)    
 
Trader wants to pay after 3 months. But Trader owes a merchant 1 year hence for Rs. 10028/-. Since trader wants to pay after 3 months he has minus the 9 months interest (i.e., 12-3 months) from 10028. So 9 will comes into the picture here... I hope u will understand now...

Anuj Ojha said: (Fri, Jun 17, 2011 03:04:59 AM)    
 
Thanks for the explanation.

Nikhil said: (Fri, Sep 9, 2011 12:06:06 AM)    
 
Can anyone explain me meaning of this problem, I couldn't understand it properly?

Nitin Anuj said: (Wed, Sep 14, 2011 12:54:03 AM)    
 
I think its the wrong answer..

Actually we can't use the formula like that.

Using 9/12 we means that the interest is on the value 3 months hence. But according to the question value 10028 is due 1 yr hence .

So first P.W.=(100 x 10028)/(100+(12x1))

Then, Amount=(100+(12x3/12))/100

and that would be the answer which is not 9200.

Please comment.

Devanshu Chourasiya said: (Wed, Sep 14, 2011 10:50:46 PM)    
 
Trader wants to pay after 3 months. But Trader owes a merchant 1 year hence for Rs. 10028/-. Since trader wants to pay after 3 months he has minus the 9 months interest (i.e., 12-3 months) from 10028. So 9 will comes into the picture here. Good one.

Madhu said: (Tue, Sep 27, 2011 08:45:52 PM)    
 
Rs. 10028/- has to be paid after 1 year including interest 12% P.A.
Present worth = 10028*100/112=8953.57
But he wants to pay after 3 months with interest 12% P.A
Interest = 8953.57*(12/100*(3/12)
= 268.60
Total Amount to be paid after 3 months = Present worth + 3 Months Interest.
i.e. 8953.57+268.60
= 9222.17

I got this Ans. Pls any body can help me on this.

David said: (Fri, Nov 18, 2011 06:17:06 PM)    
 
What Madhu said makes sense to me? Please elaborate.

Rajee said: (Thu, Dec 8, 2011 12:02:13 PM)    
 
Question must be like this he settle before 3 month...so we have calcutate 9 month intrest....
10028=intrest +pw( one year)......(1)
intrest=pw.9/12.12/100=9pw/100

So
10028=9pw/100+pw from 1
so pw=9200

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