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Aptitude - True Discount - Discussion

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"Love is like a war, Easy to begin Hard to end."
- (Proverb)
5. 

If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is:

[A]. Rs. 20[B]. Rs. 21.81
[C]. Rs. 22[D]. Rs. 18.33

Answer: Option E

Explanation:

S.I. on Rs. (110 - 10) for a certain time = Rs. 10.

S.I. on Rs. 100 for double the time = Rs. 20.

T.D. on Rs. 120 = Rs. (120 - 100) = Rs. 20.

T.D. on Rs. 110 = Rs. 20 x 110 = Rs. 18.33
120


Murali said: (Tue, Nov 23, 2010 08:10:31 AM)    
 
please provide some more explanation.then it is easily understood by me and others

Karthika said: (Sat, Dec 4, 2010 12:11:44 PM)    
 
pls explain ... i cant get the concept

Revathy said: (Mon, Dec 27, 2010 06:22:58 AM)    
 
Plz help us out here.......

Meha said: (Wed, Jan 5, 2011 12:31:55 AM)    
 
Whar ever the formula is given at biginig that was not comparable here. Which formula you are used here? please expline the formula.

Karthick said: (Wed, Jan 5, 2011 11:54:23 PM)    
 
Please explain the sum and which formula you are used here.

Raghubabu said: (Sat, Feb 5, 2011 08:57:30 AM)    
 
I cant understand it please explain by another form.

Abhishek said: (Wed, Feb 23, 2011 02:34:02 AM)    
 
According to question,
Amount=110,True Discount=10,Present Worth=110-10=100;
Now,we know,P.W.=(Amount*100)/100+(R*T);
So,100=(110*100)/100+(R*T);that implies (R*T)=10;
Again in question,
(R*2T)=(2RT)=2*10=20;Now,
P.W.=(110*100)/100+(2RT)=(110*100)/100+20=91.66;
So,T.D.=Amount-P.W.=110-91.66=Rs.18.34/- (clear)....

Shubha said: (Fri, Apr 15, 2011 11:53:53 PM)    
 
How you have got p.W=(Amt*100)/(100+(r*t))

Vinay said: (Sun, Aug 28, 2011 07:37:50 PM)    
 
The discount allowed on the same sum 110 is double the time means 10 becomes 20%

So, 20% will come.

Therefore, principal amount is 100 for both the cases

(20x 110)/120= Rs. 18.33

Anu said: (Thu, Oct 20, 2011 01:23:31 PM)    
 
Thank you Abhishek.

Kuldeep Kumar Singh said: (Fri, Jan 20, 2012 08:04:03 PM)    
 
@Abhishek thanks for explaation.

Dhana said: (Tue, Jan 24, 2012 02:48:01 PM)    
 
Thanks abhishek.

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