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Aptitude - Percentage - Discussion

@ : Home > Aptitude > Percentage > General Questions - Discussion

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"Time and tide wait for none."
- Alexander Pope
9. 

A student multiplied a number by 3 instead of 5 .
5 3

What is the percentage error in the calculation?
[A]. 34%[B]. 44%
[C]. 54%[D]. 64%

Answer: Option B

Explanation:

Let the number be x.

Then, error = 5 x - 3 x = 16 x.
3 5 15

Error% = 16x x 3 x 100 % = 64%.
15 5x

R.Sravan said: (Fri, Jun 25, 2010 02:12:44 AM)    
 
If error came a negative value then what is the solution?
Moorthy said: (Wed, Jul 21, 2010 05:40:02 AM)    
 
Then, error = 5/3 x - 3/5 x = 16/15x.
how to came this term?
Prawin said: (Mon, Aug 9, 2010 11:49:54 PM)    
 
error = true vlue- false value
error=(5/3)x-(3/5)x
Jananipriya.P. said: (Fri, Sep 17, 2010 10:04:14 AM)    
 
What is the logic behind the term (16x/15 * 3/5x) ?
Srihari said: (Tue, Sep 28, 2010 02:25:59 AM)    
 
No need of taking x. The difference of two nos become 16/15.

Then the percentage of 16/15 in the true value 5/3 is 64%.

16/15
------ x 100 = 64%. Thats logic Jananipriya.
5/3
Jananipriya.P. said: (Fri, Oct 1, 2010 03:09:17 AM)    
 
Thank you Hari!
Vasu said: (Fri, Nov 26, 2010 01:02:51 AM)    
 
Thank you. Hari.
Ashok said: (Wed, Dec 29, 2010 09:04:16 PM)    
 
Thanks Sri.
Jack said: (Wed, Feb 16, 2011 04:23:37 PM)    
 
Error% = error/true value
Sreekutty said: (Sat, Mar 26, 2011 10:32:26 PM)    
 
Error %= error / true value
but, here.. error= true value-false value
ie., error=(5/3)-(3/5)=16/5
so the error % will be equal to (16/5)/(5/3)=64%
(since, true value is 5/3)
Kishna said: (Sat, May 21, 2011 12:03:33 AM)    
 
Thanks Sreekutty.
S.Salman said: (Tue, May 24, 2011 09:56:34 AM)    
 
Thanks srihari.
Arun said: (Tue, May 31, 2011 03:49:14 PM)    
 
Thank you guys. Good analysis.
Rashmi said: (Fri, Jun 24, 2011 06:57:35 PM)    
 
But, still I'm not able to understand the logic for error %. Can any one describe it.
Saswat said: (Sun, Aug 7, 2011 11:48:34 PM)    
 
I m also unable to understand. Can you please make me understand. Is this formula is applicable to every situation ?
Pradip Zala said: (Wed, Aug 10, 2011 12:44:05 PM)    
 
Suppose the no. is 300

Then error no. is 300*3/5 =180
and the actual answer is 300*5/3= 500
THE difference value is 320

Then ans is 320*100/500 = 64%
Chitra said: (Fri, Sep 23, 2011 02:55:57 PM)    
 
I don't get it. Please any one tell me.
Sudershan said: (Fri, Oct 28, 2011 05:18:06 PM)    
 
We have to find error %.
percentage calculate from original value. So to find error percent

1.First v have to find the error.
2.Then percentage for error in original.

error = Original value - Wrong value.
= (5/3 x) - (3/5 x).
= 16/15 x

error% = error/original * 100;
= ((16/15 x) / (5/3 x)) * 100
= 64

So 64%
Rawal said: (Sun, Dec 18, 2011 03:24:28 PM)    
 
Thanks Now I got it sudershan.
Abhiraj said: (Wed, Feb 1, 2012 08:50:04 AM)    
 
Thanks sudershan.
Durai said: (Tue, Feb 7, 2012 01:34:14 PM)    
 
Thanks durai.
Sasi said: (Thu, Feb 9, 2012 10:36:40 PM)    
 
Its so simple.

true value =5/3x;
false value=3/5x;

=(3/5)(3/5)(5/3)x
=(9/25)(5/3)x
=(0.36)(5/3)x

error=1-0.36
=0.64
error%=64%
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