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 35 of 36.

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

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

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)

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)

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)

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

Shubham jaiswal said:   5 months ago
Given:
20cp = x sp.
20cp = 125% cp * x (because profit is 25 %).
20cp = 5/4 cp * x.
20 x 4/5 = x.
16 = cp.
(10)

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)

Kalyani said:   5 months ago
Let us assume c.p of one article = rs.1.
c.p of x articles = x,
s.p of x articles = c.p of 20 articles = 20,
profit = s.p-c.p = 20-x.
profit% = 25%.
profit% = (profit/c.p )* 100.
25 = (20-x/x )*100.
25x = 2000-100x.
2000 = 125x.
x=16.
(13)

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


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