Aptitude - Profit and Loss - Discussion
Discussion Forum : Profit and Loss - General Questions (Q.No. 2)
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:
Answer: Option
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.
Video Explanation: https://youtu.be/sidqvjUoZxY
Discussion:
357 comments Page 29 of 36.
Kailash said:
1 decade ago
Let 1 article price is p.
Then 20 article price will be 20p.
x article price will be = xp.
As per question ...selling price of x articles = sp = 20p.
Cost price of x articles = cp = xp.
=> Gain g = sp - cp= 20p-xp = (20-x)p.
%of gain = {((20-x)p) *100}/xp.
But given Gain = 25%.
=> {((20-x)p) *100}/xp =25.
=> {((20-x)p) *100} =25*xp.
=> {(20-x) *100} = 25*x.
=> {(20-x) *} = (25*x)/100 = x/4.
=> 20 = (x/4.)+x = (5/4)x.
=>x=16.
So here the value of x is 16.
Then 20 article price will be 20p.
x article price will be = xp.
As per question ...selling price of x articles = sp = 20p.
Cost price of x articles = cp = xp.
=> Gain g = sp - cp= 20p-xp = (20-x)p.
%of gain = {((20-x)p) *100}/xp.
But given Gain = 25%.
=> {((20-x)p) *100}/xp =25.
=> {((20-x)p) *100} =25*xp.
=> {(20-x) *100} = 25*x.
=> {(20-x) *} = (25*x)/100 = x/4.
=> 20 = (x/4.)+x = (5/4)x.
=>x=16.
So here the value of x is 16.
Suku Driver said:
1 decade ago
1 step answer:
(1/(20-x)) *100 = 25%.
Simplify, and gets x=16.
Note: (1/(20-x)) is the fraction in terms of Articles.
(1/(20-x)) *100 = 25%.
Simplify, and gets x=16.
Note: (1/(20-x)) is the fraction in terms of Articles.
Sonu said:
1 decade ago
Its very simple to find out the value of x.
The cost price of 20 articles = the selling price of x articles. Here profit is 25% So,
20 = x*(125/100).
2000/125 = x.
So x = 16.
The cost price of 20 articles = the selling price of x articles. Here profit is 25% So,
20 = x*(125/100).
2000/125 = x.
So x = 16.
Sumit said:
1 decade ago
Let, C.P of 20 articles = S.P of x articles = y.
So, C.P of 1 article = y/20.
And, S.P of 1 article = y/x.
((y/x-y/20)/(y/20))*100 = 25 ;
[formula: ((S.P-C.P)/C.P)*100 = gain % ].
(20y-xy)/xy = 25/100
(20/x)-1 = 25/100
20/x = 125/100
x = 16.
So, C.P of 1 article = y/20.
And, S.P of 1 article = y/x.
((y/x-y/20)/(y/20))*100 = 25 ;
[formula: ((S.P-C.P)/C.P)*100 = gain % ].
(20y-xy)/xy = 25/100
(20/x)-1 = 25/100
20/x = 125/100
x = 16.
(1)
Manish said:
1 decade ago
Given C.P of 20 articles = S.P of X articles,
If we consider C.P of 1 article is Rs.1 the S.P of X = 20. from this S.P of 1 articles will be 20/X.
So (20/X - 1)/1*100 =25 which give 16 as a Answer .
If we consider C.P of 1 article is Rs.1 the S.P of X = 20. from this S.P of 1 articles will be 20/X.
So (20/X - 1)/1*100 =25 which give 16 as a Answer .
Sri Ram Kumar said:
1 decade ago
I got the answer but I am not sure the solution is correct any suggestions please:
C.P of 20 articles=125% of S.P of X articles.
20=125/100 S.P of X articles(here we have to assume C.P of one article to be 1 rupee).
20*100/125=16.
C.P of 20 articles=125% of S.P of X articles.
20=125/100 S.P of X articles(here we have to assume C.P of one article to be 1 rupee).
20*100/125=16.
Bhaskar Gairola said:
1 decade ago
Let C.P. of 1 article =1.
C.P. of x articles = x.
S.P. of x articles = 1.25x.
Given S.P. of x articales = C.P. of 20 articles.
1.25x = 20.
x=16.
C.P. of x articles = x.
S.P. of x articles = 1.25x.
Given S.P. of x articales = C.P. of 20 articles.
1.25x = 20.
x=16.
(1)
Ashima said:
1 decade ago
Let CP of 1 article be 100rs.
p = 25 (because P% = P/CP*100).
SP = 100 +25 = Rs 125 ( P=SP-CP).
No of articles : CP (unitary method)
1 article - Rs 100.
20 articles - Rs 2000.
No. of articles: SP (unitary method)
1 article - Rs 125
x articles - Rs 2000 (remember CP of 20 = SP of x articles)
x= 2000/125 = 16 articles.
p = 25 (because P% = P/CP*100).
SP = 100 +25 = Rs 125 ( P=SP-CP).
No of articles : CP (unitary method)
1 article - Rs 100.
20 articles - Rs 2000.
No. of articles: SP (unitary method)
1 article - Rs 125
x articles - Rs 2000 (remember CP of 20 = SP of x articles)
x= 2000/125 = 16 articles.
Mr k said:
1 decade ago
One simple rule in this type of question.
When there is profit 25% it taken as 1.25
So. Equ will be : 20/x=1.25.
X=20/1.25.
X=16.
When there is profit 25% it taken as 1.25
So. Equ will be : 20/x=1.25.
X=20/1.25.
X=16.
Meena said:
1 decade ago
20*c.p=y --->1
s.p*x=y --->2
Cost price of 20 articles is 100%
Then selling price of x articles is 125%
20*100=2000 --->1
125*x=2000 --->2
x=(2000/125)=16
.'. x=16
s.p*x=y --->2
Cost price of 20 articles is 100%
Then selling price of x articles is 125%
20*100=2000 --->1
125*x=2000 --->2
x=(2000/125)=16
.'. x=16
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