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 28 of 36.

Prasad Bhalerao said:   6 years ago
Thanks for solving it @Chetan.

Niveditha said:   6 years ago
It Helped a lot. Thank you @Roopa.

Milan Viradia said:   6 years ago
Let, CP of 1 article = 1 Rs.
Now, Profit = 25%,
SP of 1 article = 1.25.
Hence, SP of x article = x*1.25.

CP of 20 article = SP of x article.
20 = x * 1.25.
x = 20/1.25.
x = 16.

Anomie said:   6 years ago
Nice explanation @Milan.

Vishal said:   6 years ago
Nice explanation @Sanjeet.

Amit said:   6 years ago
Simply, the solution is;

Take C.P as 100% always.
Now,
100%=x.
Profit is 25% so 100+25.
125%=20,
Solve for x,
Ans is 16.

Rahul Kumar said:   6 years ago
Since profit=25%, SP=125% of CP ---> 1.
CPx20=SPx(X), the subtitute value of CP in 1, we get;
X=16.

Harish said:   6 years ago
20*c.p = x*s.p
Here s.p is 125% of c.p,since there is a profit of 25%.
125% = 5/4,

Therefore,
20*c.p=5/4 (c.p)*x.
c.p get cancelled.
X=16.

Ruturaj said:   6 years ago
Hi.

20 article cp =sp of x article.
( Cp of 1 article =100 , suppose.

Then cp of 20 article =20*100 = which is equivalent to sp of x article.
So,
X article sp = 2000.
X article cp = 100*x.

(25/100) = (2000-100x)/(100x).
X = 16.

Kanchan das said:   6 years ago
Cost p = selling p = 20.
Let cp=100.
Sp=125.
125 -------------> 100
1 -------------> 100/125
20 -------------> 100/125 * 20.
So, X = 16.


Post your comments here:

Your comments will be displayed after verification.