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:
355 comments Page 20 of 36.

S.N.V.Subbarao said:   7 years ago
Profit = 25%.

%profit= ((sp-cp) /cp)) * 100.
cp = x.
sp = 20.
25 = (20-x / x)*100.
x = 20 * 4-4x.
3x = 80.
x = 16.

Shubham jaiswal said:   7 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)

Jyothsna said:   8 years ago
CP 20 = SP x.
CP/SP=x/20.
=>CP =x; SP =20.

Profit=20-x (Profit=SP-CP).
25 = ((20-x)/x)*100 (P%=P/CP*100).

Gyanajyoti said:   8 years ago
Hello @Dosto

Let me explain,
In this sum we take Easy method:
Cp=(100/100+GAIN%)s.p.
so
x=(100/125)20
x=16.

Mir Adil Hussain said:   6 years ago
Let C.P of 20 articles = X.
Let S.P be X+20.

By profit% formulae,
125=X+20/X mul by 100.
The answer is 16.

Vivek said:   1 decade ago
Thank for your explanation sanjeet it is so easy to understand after you explain, I like this site very much.

Santosh Dalal said:   1 decade ago
Hello friends.

We can use given below method or not ?

125/100*x = 20.

=> x = 20*100/125.

=> x = 16.

Jaya Darshini said:   1 decade ago
Please explain me how come we assume that the CP of 1 article is Rs. 1. Why can't we assume some other value?

Saranya said:   1 decade ago
I am can not understand in this problem. So please give any formulas (OR) Please give some example problems.

PRUDHVI said:   1 decade ago
Sp contains cp and profit[25%].

=>x+x/4[25% of x] = 20.

x+x/4 = 20.
=> 5x/4 = 20.

5x = 80.
x = 16.


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