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:
357 comments Page 15 of 36.

Bharath said:   8 years ago
Just follow the below simple steps.

We assumed that CP of each article is Rs.1 so our SP
Selling Price 20
Profit Percentage 25%
cost Price ?

Well, we all know that SP is inclusive of Profit 25 Percent.Hence in order to calculate the profit, we should calculate as follows 25*125/25 = 4.
Now just deduct your profit from SP.
Which brings up = 16.

Mamatha said:   8 years ago
Nice explanation guys especially @Jyotsna your formula really works out.

Jyothsna said:   8 years ago
CP 20 = SP x.
CP/SP=x/20.
=>CP =x; SP =20.

Profit=20-x (Profit=SP-CP).
25 = ((20-x)/x)*100 (P%=P/CP*100).

Jyothsna said:   8 years ago
@Sowmya your explanation is apt without confusing I just wanna to elaborate some of the formulas.

Vibhore said:   8 years ago
@Utsav.

Profit = SP - CP.
Therefore Profit = (20/x) - 1.
And Profit % = (Profit/CP)X100.

Therefore Profit % = (((20/x)-1)/1)X100 = 25 %.
Ans x = 16.

Utsav said:   8 years ago
@Sanjeet.

"profit on one article= (20/x)-'1'
% profit=((20/x)-'1')*100)/1=25"
Why do we have to subtract 1 in the above two steps?

Purusottam said:   8 years ago
As far as my calculation is concerned it is 18.75.

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.

Basil said:   8 years ago
@Rinku.

Best explanation Really simple. Thank you very much.

Divya Pahwa said:   8 years ago
@Sanjeet Kumar.

Very nice and clear explanation. Thank you.


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