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Aptitude - Percentage - Discussion

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"Everything you can imagine is real."
- Pablo Picasso
2. 

Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:

[A]. 39, 30[B]. 41, 32
[C]. 42, 33[D]. 43, 34

Answer: Option A

Explanation:

Let their marks be (x + 9) and x.

Then, x + 9 = 56 (x + 9 + x)
100

25(x + 9) = 14(2x + 9)

3x = 99

x = 33

So, their marks are 42 and 33.


Ramya said: (Wed, Dec 29, 2010 05:01:35 AM)    
 
Please explain in simple way.

Aparna said: (Wed, Dec 29, 2010 12:31:49 PM)    
 
Suppose 1 students score is 'x',then others will be 'x+9'

Now the next information is given about the student whose score is 'x+9'

Whenever in the question 'and'/'is' given put '=' sign
56% means 56/100 ,of means put multiplication sign
and sum of the marks means(x+x+9)

Now just solve the equation.

Vel said: (Thu, Feb 17, 2011 01:15:22 PM)    
 
Ok why equal sign assigned b/w x+9 and 56/100 (x+9+x) ?

Hiren Savalia said: (Sat, May 7, 2011 01:13:02 PM)    
 
Go by option u will get answer easily ...

Let me choose 42 & 33

As all answers have difference of 9 so next step is to check 56 % condition for this answer ....

Now 56 % of sum of marks means 75 is 100 % then 42 is how much ?
calculate & u will get 56 % so u will come to know that the answer that u have chosen is d ri8 1 ... enjy :)

Person said: (Sat, Jul 2, 2011 01:33:27 PM)    
 
Good. @hiren.

Divyanshu said: (Wed, Jul 6, 2011 02:52:31 PM)    
 
Hw we can calcuate, total marks ?

Prasad said: (Mon, Sep 5, 2011 02:11:42 PM)    
 
@aparna..Hi..could it possible to put in details.please

Uttam said: (Sun, Sep 18, 2011 07:41:11 AM)    
 
First find total marks

difference between percentage=56%-44%=9%

In the question given difference between marks as 12

so, if mark is percentage

9 12%

? 100%

so by cross multiplying total marks=(9*100)/12=75.

now student 1s marks=56% of 75 i.e

(56/100)*75=42.

student 2s marks=44% of 75 i.e

(44/100)*75=33.

Krishna said: (Tue, Nov 1, 2011 11:39:34 AM)    
 
@uttam

How it can be 56%-44%=9%?

Can you explain it?

Radhika said: (Sat, Nov 5, 2011 08:08:46 PM)    
 
56-44/100=9
12/100=9
=75
now
56/100*75=42
44/100*75=33
:)

Archana said: (Fri, Jan 20, 2012 03:54:57 PM)    
 
How do you come on this step

x + 9 = 56/100 (x + 9 + x)
25(x + 9) = 14(2x + 9)
Please explain in simple way.

Ashok said: (Fri, Jan 20, 2012 11:31:14 PM)    
 
@Archana:

Divide 56/100 by 4 and you'll Get 14/25
bring the 25 to L.H.S
and you will get
25(x+9)=14(x+9+x)
now add two x's in R.H.S
25(x+9)=14(2x+9)

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