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:
358 comments Page 28 of 36.
Subrar said:
1 decade ago
Lets cost price of each article be 4.
So cost price of 20 articles = 20*4=80.
So selling price of each article = 4+4*25%= 5.
So selling price of x articles = 5x.
So according to the question 5x = 80.
So x = 80/5= 16.
So cost price of 20 articles = 20*4=80.
So selling price of each article = 4+4*25%= 5.
So selling price of x articles = 5x.
So according to the question 5x = 80.
So x = 80/5= 16.
Naveen said:
1 decade ago
C.P of 20 articles = S.P of x articles.
C.P*20 = S.P*x -->eqn 1.
We know that S.P = [(100+gain%)/100]*C.P.
Gain% is given as 25.
Substituting this in eqn 1 we get x = 16.
C.P*20 = S.P*x -->eqn 1.
We know that S.P = [(100+gain%)/100]*C.P.
Gain% is given as 25.
Substituting this in eqn 1 we get x = 16.
Sadee said:
1 decade ago
C.P*20 = S.P*x.
x = C.P*20/S.P.
Gain% = gain/C.P = S.P-C.P/C.P = S.P/C.P-1.
25% = 1/4 = S.P/C.P-1.
C.P/S.P = 4/5.
x = 20*4/5 = 16.
x = C.P*20/S.P.
Gain% = gain/C.P = S.P-C.P/C.P = S.P/C.P-1.
25% = 1/4 = S.P/C.P-1.
C.P/S.P = 4/5.
x = 20*4/5 = 16.
Nilesh said:
1 decade ago
How 20-x, can you explain that?
Aqeel said:
1 decade ago
No I don't understand the logic for the solution.
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.
Sruthi said:
1 decade ago
Please explain this problem with step by step procedure.
Shailusha said:
1 decade ago
I am not able to understand this problem, can anyone explain this.
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.
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.
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