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:
354 comments Page 2 of 36.

Rakesh said:   11 months ago
Simply using the formula:

SP = 100 + profit × CP/100.
CP : SP.
X: 20.
Simply putting the value you will get the 16 as answer.
(10)

Shal said:   1 year ago
Let cp=100 for 20 articles.
Profit=25%
Therefore, sp = 125.
Now for 125 - 20 articles,
100 - how many articles?
20 x 100/125 = 16.

So, 16 is the answer.
(50)

Alanyo Jackline said:   1 year ago
I am not getting how this 5/4 came. Anyone, please explain to me.
(14)

Abhi said:   1 year ago
Cp of 20/25×100 = 80.
Sp 25/100×20 = 5.
Now, 80/5 = 16.
(31)

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.
(115)

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.
(42)

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.
(133)

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.
(53)

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.
(19)

Stranger said:   2 years ago
How it is? I can't understand, anyone, please explain to me in a simple way.
(21)


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