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:
15
16
18
25
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 21 of 36.

Darakhshan Anjum said:   8 years ago
Well done @Sanjeet.

Kavya said:   8 years ago
Guys, here the key point is that cost price is same as selling price.

Gyanajyoti said:   8 years ago
Hello @Dosto

Let me explain,
In this sum we take Easy method:
Cp=(100/100+GAIN%)s.p.
so
x=(100/125)20
x=16.

Suman said:   8 years ago
If no of articles are 66 and profit is 22 then what will be the profit %?

Sai reddy said:   8 years ago
As per given question.

CP of 20 articles =SP of x articles.
CP/SP=X/20.
here CP=x, SP=20.
GAIN%=(GAIN/CP) 100.
25 =(20-X/X)100.
X=16.

Akash Kalyankar said:   8 years ago
Suppose cost of 1 article is 1 rupees.

The cost of 20 articles is 20 rupees.

1) sp of 20 articles will be 25 (with 25 % profit)
2) what will x be for sp = 20; (as cp 0f 20 = sp )

20 -----> 25.
x ------> 20.

x = 20 * 20 / 25.
x = 16.

Kishore said:   8 years ago
Here ,we dont know the value of s.p but in condition given that , s.p of x articles = 20 articles of c.p.

let c.p of 1 article is 1/-
so,c.p of x article become x/-
as per condition,
s.p of x article is 20/-(s.p of x articles which is equal to c.p of 20 article (i.e 20/-)).
p%=(s.p-c.p)/c.p *100.
=(20-x)/x*100 = 16.

Divya Pahwa said:   8 years ago
@Sanjeet Kumar.

Very nice and clear explanation. Thank you.

Basil said:   8 years ago
@Rinku.

Best explanation Really simple. Thank you very much.

Mallesh goud said:   8 years ago
(a-b) /b*100=gain percentage.

a=20 b=x gain %=25.

If we solve we get x=16.


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