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:
357 comments Page 34 of 36.

Haritha said:   2 decades ago
c.p of 20 articles= s.p of x articles .........1
s.p=((100+profit%)/100)*c.p
hence from the above values we get
s.p=(5/4)c.p
substitute in 1 we get
X=16

Habib said:   2 decades ago
Its very very simple....

Given, CP(20 Articles)=SP(X articles)...............A

Assume, CP of 1 article is Re.1,
CP of X artilcles is rs.X..............B
CP(20 Articles)=rs.20..................C
So A becomes,
rs.20 = SP(X articles).................D

Now, Profit = SP(X articles) - CP(X articles)
= 20 - x (from B&D)

Hence find profit %, (20-x)/x * 100

Yuri said:   2 decades ago
How we assume cp for 1 article is 1?

If we assume else then?

Vishal said:   2 decades ago
priya...
in general form.
let the cost of 20 article = y rs
so cost of 1 article= y/20rs
and cost of x article = xy/20
so the profit= price-sailing price/sailing rate
25=(y-x*y/20)/(x*y/20)
by solve this u got 16 answer

Sumit yadav said:   2 decades ago
@chetan

Its Nice. You realy did well, you make this problem very simply.

Jacky said:   2 decades ago
Sanjeet kumar gives the nice explanation.

which is easly understandable.
thanks frnd.
if 25% profit given u can take the example of c.p is 4 and s.p is 5.
20*4=x*5
x=16

Vignesh.R said:   2 decades ago
Chetan! your explanation is cute and understandable.

Parth said:   2 decades ago
Thanx chinni and sanjeet awsum xplanation!

Mukul said:   2 decades ago
@priya :- when u got s.p of x article = Rs. 20 and c.p of 1 article is re.1 so for 'x' article c.p will be Rs. x .
now s.p - c.p = profit
hence 20 - x . = profit .

Priya said:   2 decades ago
How profit is given as 20-X?


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