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:
354 comments Page 4 of 36.

Surbhi garg said:   3 years ago
CP of 20 articles = SP of x article.
Profit% = 25.
Let's CP = 100rs.
SP = 125.
CP of 20 articles = SP of x article.
20*100 = 125 * x.
x =2000/125,
x=16.
(63)

VATHSA said:   3 years ago
Why do we have to assume that CP is Rs. 1?

Cant we solve using equations?
(2)

Debarati said:   3 years ago
CP of 20= SP of x
sp/cp = 20/x.
sp-cp/cp = 20-x/x.
profit percentage = 25%.
Therefore,25/100 = 20-x/x.
Solving we get x = 16.
(6)

Dhanu said:   3 years ago
Selling Price of X article is 20 and, we have to find C.P. of this X article.
It can be calculated by using the formula of C.P. which is given below;
C.P. = 100/(100+Gain%) * S.P.

So, let C.P. be X.. And by given data Gain % = 25, and S.P. of X article = 20 putting this values we get,

X(c.p) = 100/(100+25) * 20(s.p).
X= (100/125) * 20,
= 0.8 * 20,
= 16.
(3)

Omare Oréna said:   3 years ago
Calculating gain w.r.t a single article:

Assume 20 articles cost a certain Price, say 'P'.

That means C.P of 1 article = P/20

X articles were sold at a Price equivalent to the cost of 20 articles, 'P'
Similarly, S.P of 1 article = P/X.

(S.P - C.P)/C.P = 25/100.

Calculate that & find that X = 16.

N.B: For gain, X must be < 20 because fewer items cover the initial cost (investment) so that the rest of the items make up the profit.

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)

Manoj said:   4 years ago
Let c.p of 1article=1Rupee.

Formula;
s.p=((100+g%)/100)*c.p.
s.p=((100+25)/100)*1=>1.25,
1aticle's s.p is=1.25,
1.25*16=20.

So 16 articles s.p is equal to c.p of 20.

Nithya said:   4 years ago
Guys, it just focus only the equation.
Here;
20.cp= x.sp ----------> (1)
Let assume cp=100
Here given gain%=25

Now the equation of sp is;
Sp=(100+gain%)*cp/100.
=(100+25)*100/100
=125.

From equation (1)
20 * 100 = x.125
X = 2000/125
=16.

NSK said:   4 years ago
[20 Article *(C1)= X article * (C2)] (C1 OR C2 are cost per Aricle).

{i.e C2 is more than C1 and also the number of articles are less than 20}

*************************************************
profit is 25%.

25={(C2 -C1)/C1}*100
C2=4/5C1.

ie: 20 * C1 = X*(4/5)C1.
X = 16.

Satya said:   4 years ago
The exact value is 25. Answer D.


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