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 22 of 36.
Purusottam said:
8 years ago
As far as my calculation is concerned it is 18.75.
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?
"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?
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.
Profit = SP - CP.
Therefore Profit = (20/x) - 1.
And Profit % = (Profit/CP)X100.
Therefore Profit % = (((20/x)-1)/1)X100 = 25 %.
Ans x = 16.
Jyothsna said:
8 years ago
@Sowmya your explanation is apt without confusing I just wanna to elaborate some of the formulas.
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).
CP/SP=x/20.
=>CP =x; SP =20.
Profit=20-x (Profit=SP-CP).
25 = ((20-x)/x)*100 (P%=P/CP*100).
Mamatha said:
8 years ago
Nice explanation guys especially @Jyotsna your formula really works out.
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.
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.
Shilpa said:
8 years ago
How did we get profit % as 25%? Please explain.
Aayush jain said:
8 years ago
We can solve this problem by options.
20 cp= x sp.
cp/sp = x/20.
In the question it is given that profit is 25%.
If we take x=16 we can get out the answer.
20 cp= x sp.
cp/sp = x/20.
In the question it is given that profit is 25%.
If we take x=16 we can get out the answer.
Prabhu said:
8 years ago
Say c.p of 20 articles =Rs.100.
S.P of 20 articles = Rs.125 (Because Profit is 25%),
S.P of 1 article = 125/20,
Now S.P of X articles =(125/20)*x =125x/20,
now S.P of X articles = C.P of 20 Articles,
125x/20 = 100,
x= (100*20)/125,
Then value of X =16.
That's it.
S.P of 20 articles = Rs.125 (Because Profit is 25%),
S.P of 1 article = 125/20,
Now S.P of X articles =(125/20)*x =125x/20,
now S.P of X articles = C.P of 20 Articles,
125x/20 = 100,
x= (100*20)/125,
Then value of X =16.
That's it.
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