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 34 of 36.
Vishal ranaut said:
2 years ago
Most simple way;
Cp of 1 article = y.
Sp of 1 ariticle = 1.25y or 5/4 y.
Because of profit 25%(y+25/100y).
Cp of 20 article= sp of x articles.
20y = 5/4yx.
5x = 80
X = 16.
Cp of 1 article = y.
Sp of 1 ariticle = 1.25y or 5/4 y.
Because of profit 25%(y+25/100y).
Cp of 20 article= sp of x articles.
20y = 5/4yx.
5x = 80
X = 16.
(15)
Vishal said:
2 years ago
25 % profit means 1/4.
20 cp = xsp.
sp/cp = 20/x.
So by formula;
1/4 = sp/cp - cp/cp.
5/4 = 20/x.
5x = 80.
x = 16.
20 cp = xsp.
sp/cp = 20/x.
So by formula;
1/4 = sp/cp - cp/cp.
5/4 = 20/x.
5x = 80.
x = 16.
(40)
Karen said:
2 years ago
CP * 20 = SP * x
SP = CP * 20/x.
Given, profit%=25%.
we know, SP = (100+25)%*CP.
also as found, SP=CP*20/x.
Therefore we can say,
(100+25)% * CP = CP *20/x [cp can be cancelled on both sides]
100+25/100 = 20,
125/100 = 20/x.
Cross multiply;
125x = 2000
x = 2000/125,
x = 16.
SP = CP * 20/x.
Given, profit%=25%.
we know, SP = (100+25)%*CP.
also as found, SP=CP*20/x.
Therefore we can say,
(100+25)% * CP = CP *20/x [cp can be cancelled on both sides]
100+25/100 = 20,
125/100 = 20/x.
Cross multiply;
125x = 2000
x = 2000/125,
x = 16.
(28)
Arr soubhagya said:
2 years ago
Thanks for your answer @Surbhi Garg.
(3)
Stranger said:
2 years ago
How it is? I can't understand, anyone, please explain to me in a simple way.
(21)
Anisul Islam said:
2 years ago
The selling price of X article is Y.
The selling price of 1 article is Y/X,
The cost price for 20 articles is Y,
The cost price of 1 article is Y/20,
According to the question,
Y/X = Y/20,
XY = 20Y,
X = 20.
At 25% profit,
If the selling price is 125 then the cost price is 100,
= 100/125.
= 100*20/125.
= 16.
The selling price of 1 article is Y/X,
The cost price for 20 articles is Y,
The cost price of 1 article is Y/20,
According to the question,
Y/X = Y/20,
XY = 20Y,
X = 20.
At 25% profit,
If the selling price is 125 then the cost price is 100,
= 100/125.
= 100*20/125.
= 16.
(19)
Naveen said:
2 years ago
Let, the cost of 1 article is 1.
Then CP of articles = 20.
According to the statement, CP of articles is equal to the SP of x.
So, SP of x =20.
And there is a 25% profit in this SP.
Then CP of x.
125% of x = 20.
Here x is CP.
X = 16.
Then CP of articles = 20.
According to the statement, CP of articles is equal to the SP of x.
So, SP of x =20.
And there is a 25% profit in this SP.
Then CP of x.
125% of x = 20.
Here x is CP.
X = 16.
(53)
Pranav said:
2 years ago
Given:
Cost price of 20 articles = Selling price of x articles
20 * C = x * S.
Profit is 25%, which means the selling price is 125% of the cost price:
S = 1.25 * C.
Substitute the value of S from the second equation into the first equation:
20 * C = x * (1.25 * C).
Now, solve for x:
x = (20 * C)/(1.25 * C),
x = 20/1.25,
x = 16.
Cost price of 20 articles = Selling price of x articles
20 * C = x * S.
Profit is 25%, which means the selling price is 125% of the cost price:
S = 1.25 * C.
Substitute the value of S from the second equation into the first equation:
20 * C = x * (1.25 * C).
Now, solve for x:
x = (20 * C)/(1.25 * C),
x = 20/1.25,
x = 16.
(133)
Prince said:
2 years ago
20 CP = x SP
CP/SP = x/20.
profit % =25 (given)
profit % = (SP-CP/CP) * 100 ---> FORMULA.
Putting the value in the formula.
(20 - x/ x) * 100 = 25.
Solve for x.
80 - 4x/x = 1,
80 = 5x,
x = 16 ans.
CP/SP = x/20.
profit % =25 (given)
profit % = (SP-CP/CP) * 100 ---> FORMULA.
Putting the value in the formula.
(20 - x/ x) * 100 = 25.
Solve for x.
80 - 4x/x = 1,
80 = 5x,
x = 16 ans.
(42)
Err said:
2 years ago
20 C. P = x S. P.
C.P = x/20 SP--->(1)
Gain = 25%.
S. P = 125% of CP.
S. P= 125/100 * CP.
Substitute CP value as (1)
x = 16.
C.P = x/20 SP--->(1)
Gain = 25%.
S. P = 125% of CP.
S. P= 125/100 * CP.
Substitute CP value as (1)
x = 16.
(115)
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