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 10 of 36.

Vishal said:   1 decade 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

Ruturaj said:   6 years ago
Hi.

20 article cp =sp of x article.
( Cp of 1 article =100 , suppose.

Then cp of 20 article =20*100 = which is equivalent to sp of x article.
So,
X article sp = 2000.
X article cp = 100*x.

(25/100) = (2000-100x)/(100x).
X = 16.

Rajender Kumar said:   9 years ago
@Sanjeet could you tell me.

Hence, S. P of x article is Rs. 20.

So S. P. of 1 article = 20/x.

After that, I can't understand why are you using -1 for profit on one article.
Profit on one article= (20/x) - 1.

Please explain me.

Bharath said:   10 years ago
C.P of each article be R.S 1. So 20 article is 20 R.S.

We need to find S.P of x = R.S 20. Profit is 25%.

So 25% of 20 is 5 R.S.
= 25/100*20 = 5.

So S.P is 20+5 = 25.
= 25/20 = 1.25 for 1 article.
= 1.25*16 = 20.

So it is 16.

Syed Tufail Nabi said:   5 years ago
Let C.P of 20 articles=Rs. 100= S.P of 20 articles.
Gain %= 25%.
Therefore s.p of 20 articles= Rs. 125.
Hence S.P of 1 article = Rs. 125/20.
Thus S.P of x articles = 100 = (125/20) * x.
Which gives x = 2000/125= 16 Answer.

Ak said:   4 years ago
First of all, understand that
Let suppose the c.p of 1 article is 1vs
Then the cost of x article is x rd.
And s.p of x article is equal to 20*1
Which is 20,
And it's given 25%profit which means
25=20-x/x *100,
Then x=16.

Mahnoor said:   10 years ago
We have to know about value of x? So there is 20 Articles and profit is 25 so put the formula.

SP = (100+gain /100*CP).

Thus (100+25/100*25).

So now calculate it 125/20000.

16 answer.

If I'm wrong then correct me ?

Subrar said:   1 decade ago
Lets cost price of each article be 4.
So cost price of 20 articles = 20*4=80.
So selling price of each article = 4+4*25%= 5.

So selling price of x articles = 5x.
So according to the question 5x = 80.
So x = 80/5= 16.

John britto said:   3 years ago
If c.p of an article is 4 and s.p of an article is 5.

c.p of articles is equal to s.p of 16 article;
So,20*4=16*5=80.

s.p of 20 article is 20*5 = 100.
c.p of 20 article is 20*4 = 80.
Profit is 20.
20/80 *100=25%.
(7)

Komal said:   4 years ago
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.
(1)


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