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 15 of 36.

SUBHRAJYOTI ROY said:   1 decade ago
PROFIT = 25%.

SO, FOR 1 ARTICLES. IF C.P = 100 THEN, S.P = 125.

∴ 20*C.P = X*S.P[C.P OF 20 ARTICLES = S.P OF X ARTICLES].

=> 20*100 = X*125.

=> X = (20*100)/125.

=> 16 ANS.

Shrinidhi said:   1 decade ago
Superb explanation to all. Thank you.

Ravi said:   1 decade ago
Hello everyone.

In the given problem 20 article C.P = X.

If one article price is one rupee then X = 20.

Md. Ahasanul Kabir said:   1 decade ago
x+x*25/100 = 20.
x+x/4 = 20.
5x = 80.
x = 16.

Samjith P V said:   1 decade ago
x*CP*125/100 = CP*20.

Then x = (20*100)/125.

x =16.

Sampath said:   1 decade ago
We have 20*C.P = X*S.P and we have profit of 25% which means (S.P-C.P)/C.P = 25/100 = 1/4.

= 4*S.P = 5*C.P => C.P = 4/5 S.P substitute it in first line 20*4/5 S.P = X*S.P =>16.

S.P = X*C.P => X = 16.

SHARANG RAINA said:   1 decade ago
Let cost of one article be Rs 1.

i.e 4 CP = Rs 1.

Now CP of 20 articles is equal to SP of x article.

SP*x = 20*1.

SP = 20/x.

We know,

SP = (1+ P/100)*CP.

20/x = (1+(25/100))*1.

x = RS.16 Answer.

Tarate Shyam Prabhakar said:   1 decade ago
I say,

20 articles are same price of CP and SP then 25% profit is there.

That's why 20+(25% profit).

Azu said:   1 decade ago
Ok, cool see this guys:

As it was given 20(C.P) = x(S.P)--(1).

And {[(S.P)-(C.P)]/C.P} = 0.25--(2).

Solving, x = 16.

Niru said:   1 decade ago
If the profit % = 25 %.

Then S.P= 125... C.P.
Let this be equation 1.

And it is given that 20 article's cost price is equal to x article's selling price, by converting to equation we get,
20*C.P = x*S.P.

By substituting the first equation in S.P we get,
(20*100)/125.
= 16.


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