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Aptitude - Profit and Loss - Discussion

@ : Home > Aptitude > Profit and Loss > General Questions - Discussion

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"Do not wait for leaders; do it alone, person to person."
- Mother Teresa
2. 

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

[A]. 15[B]. 16
[C]. 18[D]. 25

Answer: Option B

Explanation:

Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.

S.P. of x articles = Rs. 20.

Profit = Rs. (20 - x).

20 - x x 100 = 25
x

2000 - 100x = 25x

125x = 2000

x = 16.


Anshuma Chugh said: (Wed, Jul 14, 2010 11:06:20 AM)    
 
Can you please make me understand by giving more examples?

K Soumya said: (Sun, Jul 18, 2010 11:27:46 PM)    
 
The given solution for the problem is incorrect.

Barat said: (Fri, Jul 23, 2010 02:53:48 AM)    
 
Answer is correct.

Pinky said: (Sun, Jul 25, 2010 02:28:21 AM)    
 
Can you explain how SP of x articles become 20?

Sundar said: (Sun, Jul 25, 2010 04:18:45 AM)    
 
Hi Pinky,

Please read the the question carefully and the first two lines of the explanation given, then you will understand the answer for your question.

{
The cost price of 20 articles is the same as the selling price of x articles.

Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.

S.P. of x articles = Rs. 20.
}

Have a nice guys.!

Sanjeet Kumar said: (Sun, Sep 12, 2010 08:37:28 AM)    
 
Hi every one
here this problem is a bit difficult to understand. let me give u an another example then we will come to this.

let c.p. of 1 article is Rs. 4 and
let s.p. of 1 article is Rs. 5

now c.p. of 20 article is 20*4=80
and s.p.of 16 article is 16*5=80
the first line of the question said these r equal that is Rs. 80

now come to our problem above.
let c.p of 1 article is Rs.1
here given that c.p. of 20 article is equal to s.p. of x article

so let us calculate c.p. of 20 article=Rs 20
hence s.p. of x article is Rs. 20
so s.p. of 1 article =20/x

profit on one article= (20/x)-1
% profit=((20/x)-1)*100)/1=25

hence x=16

Sid said: (Fri, Sep 24, 2010 06:58:36 AM)    
 
Thanks sanjeet, nice explanation.

Sarath said: (Fri, Oct 15, 2010 10:38:20 AM)    
 
Can you explain me about the assumptions it makes me difficult to understand?

Anbu said: (Sat, Oct 23, 2010 08:32:39 AM)    
 
Sanjeet your explanation is very good.

Aamir said: (Fri, Nov 12, 2010 09:52:47 AM)    
 
I cant undrstnd this question plz any help me to undrstnd this

Chetan said: (Fri, Nov 12, 2010 12:29:38 PM)    
 
Hi guys,

20 article C.P = 100rs(say)

Note: When given profit percentage, he calculates it only after selling all goods.

So 20 articles S.P = 125 (SINCE PROFIT PERCENT =25%)
now consider only S.P
125 rs --->20 articles
100 rs --->? articles
100*20/125=16

That is it simple.

Vasanthi said: (Sat, Nov 13, 2010 08:39:26 AM)    
 
Sanjeet your explanation is very nice.

Indu said: (Sun, Nov 21, 2010 01:37:55 AM)    
 
Very nice and simple explanation sanjeet. Thanks.

Anjali&Amp;Sandhya said: (Sat, Nov 27, 2010 06:25:55 AM)    
 
Chetan nice answer anjali and sandhya.

Ruby said: (Thu, Dec 2, 2010 12:56:34 PM)    
 
Sanjee how does the profit of one article will be (20/x) -1.

Chinni said: (Tue, Dec 7, 2010 05:31:33 AM)    
 
profit=s.p-c.p
hence cost of 1 article=1
s.p of 1 article=20/x
profit=(20/x)-1

Rupesh said: (Sat, Dec 18, 2010 12:45:35 AM)    
 
Then where is the solution of 25%.

Priya said: (Tue, Dec 21, 2010 02:22:32 AM)    
 
How profit is given as 20-X?

Mukul said: (Mon, Dec 27, 2010 12:16:28 PM)    
 
@priya :- when u got s.p of x article = Rs. 20 and c.p of 1 article is re.1 so for 'x' article c.p will be Rs. x .
now s.p - c.p = profit
hence 20 - x . = profit .

Parth said: (Tue, Jan 4, 2011 10:20:57 PM)    
 
Thanx chinni and sanjeet awsum xplanation!

Vignesh.R said: (Thu, Jan 6, 2011 01:43:34 PM)    
 
Chetan! your explanation is cute and understandable.

Jacky said: (Sat, Jan 15, 2011 01:42:05 AM)    
 
Sanjeet kumar gives the nice explanation.

which is easly understandable.
thanks frnd.
if 25% profit given u can take the example of c.p is 4 and s.p is 5.
20*4=x*5
x=16

Sumit Yadav said: (Sun, Jan 16, 2011 12:25:21 PM)    
 
@chetan

Its Nice. You realy did well, you make this problem very simply.

Vishal said: (Tue, Feb 1, 2011 07:02:42 AM)    
 
priya...
in general form.
let the cost of 20 article = y rs
so cost of 1 article= y/20rs
and cost of x article = xy/20
so the profit= price-sailing price/sailing rate
25=(y-x*y/20)/(x*y/20)
by solve this u got 16 answer

Yuri said: (Sat, Feb 12, 2011 06:16:01 AM)    
 
How we assume cp for 1 article is 1?

If we assume else then?

Habib said: (Wed, Feb 23, 2011 12:25:17 PM)    
 
Its very very simple....

Given, CP(20 Articles)=SP(X articles)...............A

Assume, CP of 1 article is Re.1,
CP of X artilcles is rs.X..............B
CP(20 Articles)=rs.20..................C
So A becomes,
rs.20 = SP(X articles).................D

Now, Profit = SP(X articles) - CP(X articles)
= 20 - x (from B&D)

Hence find profit %, (20-x)/x * 100

Haritha said: (Tue, Mar 1, 2011 12:42:16 AM)    
 
c.p of 20 articles= s.p of x articles .........1
s.p=((100+profit%)/100)*c.p
hence from the above values we get
s.p=(5/4)c.p
substitute in 1 we get
X=16

Prathyusha said: (Wed, Mar 2, 2011 02:27:46 AM)    
 
Sundar and sanjeet explanation was nice!.

Good work guys!.

Thanku.

Kumar said: (Tue, Apr 12, 2011 02:12:32 PM)    
 
How it was come by using 2000..i cant understand plz explain detaily

Pankaj said: (Wed, Apr 27, 2011 03:39:58 AM)    
 
How to solve ( (20/x-1) x100) /25?

Kailash said: (Sun, May 1, 2011 02:23:47 AM)    
 
Profit=x-y/y *100
25=20-y/y*100
25/100=20-y/y
1/4=20-y/y
y =4(20-y)
y =80-4y
5y =80
y =80/5
y =16
This is very shortcut method of this types questions.

Surya said: (Tue, May 17, 2011 08:00:00 AM)    
 
Very nice explanation thanks to snnjeet.

Priyanka said: (Tue, May 24, 2011 03:03:38 AM)    
 
How 20-x sir ?

Vivek said: (Thu, Jun 2, 2011 02:31:04 AM)    
 
Thank for your explanation sanjeet it is so easy to understand after you explain, I like this site very much.

Roopa said: (Fri, Jun 24, 2011 10:25:07 AM)    
 
Really nice to join your discussion.

I have simple equation;

c.p =s.p
20(Articles) = x(Articles)+profit
it means
1*20=1+.25*x
20=1.25x
20/1.25=x
20*100/125=x
16

Vinu said: (Thu, Jul 7, 2011 11:03:21 PM)    
 
Hi kailash awesome shortcut.

Vinay said: (Tue, Aug 2, 2011 09:58:53 AM)    
 
Please Try to Solve the Problems without any Formulas. Understand the Problem and solve it and your own.

Umesh said: (Fri, Aug 5, 2011 03:16:21 PM)    
 
The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

===> LET CP BE Rs 100
CP OF 20 =2000
SP OF 20 =2000*1.25(PROFIT) = 2500
SP OF 01 =2500/20 =125
THERFORE ANSWER = 2000/125 =16

OR
CP *20 =SP *X
PUT SP=1.25CP
NOW, CP*20=1.25CP*X
CANCEL CP FROM BOTH
X = 20/1.25 =16

Nikhil said: (Sun, Aug 7, 2011 12:03:43 AM)    
 
Awesome explanation chetan!thanx:).

Rashmi Shukla said: (Fri, Aug 19, 2011 06:18:28 PM)    
 
Clear explanation sangeet thanks :).

Kapil said: (Tue, Aug 23, 2011 12:01:00 AM)    
 
@Sanjeet

Why we take selling prize = 5 ?

Nj. said: (Tue, Aug 23, 2011 09:10:27 PM)    
 
Nice Explanation Umesh!!!!! Good Job!

Vikas said: (Sat, Sep 3, 2011 12:26:01 PM)    
 
Hi Guys,
U can use a very simple method, i.e.,
Suppose,
C.P of 1 item = Rs.100
So C.P of 20 item = Rs.2000
Now profit is 25% so,
s.p of 1 Item = Rs.125 {125% of C.P}
s.p of x Item = 2000 {= C.P of 20 Items}

Therefor number of x item = 2000/125
= 16 Ans.

Dharmendra said: (Sat, Sep 3, 2011 10:38:26 PM)    
 
Suppose c.p. of 1 article is Rs. 1
so c.p. of x article is Rs. x.........(1)
now s.p. of x articles is 20.........from the question....(2)
now profit is s.p-c.p = 20-x .............(3)
now use the formula gain%=gain*100/c.p
25=(20-x)*100/x ...........(1)+(3)
now solve it.

Indika said: (Mon, Sep 19, 2011 01:51:08 PM)    
 
20cp=(100-20)
20cp=80
20cp=80/4
sp=5
20cp=80/5
x=16
selling articles=16

Rinku said: (Mon, Sep 19, 2011 08:48:26 PM)    
 
20 cp = x sp
20(cp/sp)=x
20(100/125)=x
16=x......make it simple.

Aarti said: (Wed, Sep 28, 2011 07:28:19 PM)    
 
Simple and fair explaination jacky.

Imraz said: (Thu, Sep 29, 2011 02:22:33 AM)    
 
Here said that cp of 20 article = sp of x article

So, 20*cp=x*sp ------(1)

Lets assume cp=100; from the question it is given that profit percentage=25%
so sp becomes 125

so the equaion 1 can be written as
20*100=x*125
x=(20*100)/125
x=16

Hanuman said: (Sat, Oct 15, 2011 12:53:38 AM)    
 
Chetan your answer is super, thank you.

Samy said: (Sat, Nov 19, 2011 09:27:41 AM)    
 
Thanks imraz your explanation is nice.

Phani said: (Thu, Nov 24, 2011 02:15:33 PM)    
 
How can we convert 25%? Please tell me.

Brajesh said: (Tue, Nov 29, 2011 12:10:51 PM)    
 
Thank you Habib for giving simple explanation.

Meenu said: (Sun, Dec 25, 2011 12:31:15 PM)    
 
Nice Explation Habib

Preethi said: (Mon, Jan 2, 2012 09:03:01 PM)    
 
Thank you sanjeet kumar.

Vishwam Chand said: (Sun, Jan 22, 2012 08:13:41 PM)    
 
Chetan, Roopa, and Vikas have given the best explanations.

Shweta said: (Tue, Jan 24, 2012 07:51:26 PM)    
 
Thanks sanjeet. Good and very clear example and explanation.

Saranya said: (Sat, Jan 28, 2012 12:11:10 PM)    
 
I am can not understand in this problem. So please give any formulas (OR) Please give some example problems.

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