Aptitude - Profit and Loss - Discussion

Thanks for your answer @Surbhi Garg.

Why do we have to assume that CP is Rs. 1?

Cant we solve using equations?

Hi every one
here this problem is a bit difficult to understand. let me give u an another example then we will come to this.

let c.p. of 1 article is Rs. 4 and
let s.p. of 1 article is Rs. 5

now c.p. of 20 article is 20*4=80
and s.p.of 16 article is 16*5=80
the first line of the question said these r equal that is Rs. 80

now come to our problem above.
let c.p of 1 article is Rs.1
here given that c.p. of 20 article is equal to s.p. of x article

so let us calculate c.p. of 20 article=Rs 20
hence s.p. of x article is Rs. 20
so s.p. of 1 article =20/x

profit on one article= (20/x)-1
% profit=((20/x)-1)*100)/1=25

hence x=16

Let C.P. of 1 article =1.
C.P. of x articles = x.
S.P. of x articles = 1.25x.

Given S.P. of x articales = C.P. of 20 articles.
1.25x = 20.
x=16.

Let, C.P of 20 articles = S.P of x articles = y.

So, C.P of 1 article = y/20.

And, S.P of 1 article = y/x.

((y/x-y/20)/(y/20))*100 = 25 ;

[formula: ((S.P-C.P)/C.P)*100 = gain % ].

(20y-xy)/xy = 25/100

(20/x)-1 = 25/100

20/x = 125/100

x = 16.

Let the cost price of one article=Rs 100.
profit=25%,
SP =100+25=125,
NOW;
CP of 20 article =SP of X article.
20 * 100 = 125 * X.
X =16.

Cp of 1 article is Rs. 1 so 20 articles cp is Rs. 20.

Given 25%profit that means on 1 article there is 25% profit so profit is 0.25 on one article then sp of one article is cp + profit = Rs 1.25.

Cp 20 = here we want 20 for how many articles it becomes Rs. 20 @ sp is Rs 1.25 for 4 articles it is 5 so that Rs. 20, 16 articles.

CP of 20A= S.P OF X ARTICLE.

# SP OF X =20.
So we know S.P of X as well as profit.

SIMPLY APPLY THE FORMULA.
# S.P = (100+ PROFIT %)*CP.
20 = 100* 25/100*C.P.
# C.P = 16.
# ACTUAL VALUE OF X =16.

Can you please make me understand by giving more examples?

The given solution for the problem is incorrect.