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 2 of 36.

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

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.
(28)

Siva said:   5 months ago
Let the CP of 20 articles be 100.
If SP is 25% profit, then it would be 125.
If 20 articles are 100.
Then,
x article is 125.

Just simply multiply the values and equal it;
x * 125 = 20 * 100.
x = 16.
(25)

Dharshini said:   8 months ago
cp = 100 - 20 = 80,
sp = 25/100 * 20 = 5,
80/5 = 16.
(24)

Pankaj said:   4 months ago
cp = xsp.
20 = 125%x
20 = 5/4x
20 * 4/4 = x.
16 = x.
(23)

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

AJAY said:   11 months ago
Let c.p(20) = s.p(x) = 100.
c.p(1) = 100/20 = 5
s,p(1) = 100/x.

Formula,
Profit =((s.p-c.p)*100/c.p
25=((100/x)-5)*100/5
By solving this you will get x = 16.
(20)

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)

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.
(15)

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


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