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:
353 comments Page 12 of 36.
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.
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.
Youth said:
1 decade ago
Hey @Kailash I know that you know the answer, but if we do that much lengthy it will take more time. Think about shortcut yaar please. Thank you for giving explanation.
Avi said:
1 decade ago
simplest method:
Here give 25% profit means 125/100 ok means 5/4 ratio so 20 article.
1st type 4/5*20=16.
2nd type 5/4 do multiply by 4 both because be need 20 article so get 16 sp.
Here give 25% profit means 125/100 ok means 5/4 ratio so 20 article.
1st type 4/5*20=16.
2nd type 5/4 do multiply by 4 both because be need 20 article so get 16 sp.
Chandan kumar said:
1 decade ago
We can also use formula this type of question.
If the cost price of M article is equal to selling price N article
then.
%gain/loss = (M-N/N)*100.
If M>N it is gain% if M<N it loss%.
Solution:- 25 = (20-X/x)*100.
25x = 2000-100x.
125x = 2000.
x = 2000/125.
x = 16.
If the cost price of M article is equal to selling price N article
then.
%gain/loss = (M-N/N)*100.
If M>N it is gain% if M<N it loss%.
Solution:- 25 = (20-X/x)*100.
25x = 2000-100x.
125x = 2000.
x = 2000/125.
x = 16.
Shailusha said:
1 decade ago
I am not able to understand this problem, can anyone explain this.
Sruthi said:
1 decade ago
Please explain this problem with step by step procedure.
Riya said:
1 decade ago
Solution:
Suppose,
CP=4.
SP=5.
Given in the question that,
CP of 20 Articles=SP of x Article.
Now put the value,
20*4 = x*5.
80 = x*5.
80/5 = x.
16 = x.
Suppose,
CP=4.
SP=5.
Given in the question that,
CP of 20 Articles=SP of x Article.
Now put the value,
20*4 = x*5.
80 = x*5.
80/5 = x.
16 = x.
Aqeel said:
1 decade ago
No I don't understand the logic for the solution.
Nilesh said:
1 decade ago
How 20-x, can you explain that?
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