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 17 of 36.

Parimala said:   5 years ago
20C=XS
S/c = 20/x = 5/4.
(Given-25%=+1/4profit=1+4/4=5/4).
5-parts20=5*4 =20 ,then x-4parts = 4 * 4 = 16.
Therefore the answer is 16.

Nidhi said:   9 years ago
CP. : SP
100% : 125%
4 : 5

Article 5 : 4 (Inversely proportional).
20 : 16

Answer is 16 article.

Shambhu singh said:   4 years ago
Cp of 20 articles = sp of x article.
Cp of 1 artical = sp of x/20 article,
25% frofit.
Cp 1 article is = x/20+25%of x/20.
1= 5x/80.
X=16.

Subhajit Mitra said:   9 years ago
Cost price of m article is equal to selling price of n article then,

Gain or loss% = (m - n/n) *100.

Here,

25 = (20 - x/x)/100.

X = 16.

Rakesh said:   1 year ago
Simply using the formula:

SP = 100 + profit × CP/100.
CP : SP.
X: 20.
Simply putting the value you will get the 16 as answer.
(10)

Rahul rajshekhar said:   8 years ago
X.SP=20CP.
SP/CP=20/x.
SUPPOSE;
SP=20.
CP=x.
profit=SP-CP=y=20-x.
profit%=y x 100/CP.
25=y x 100/x.
solve it.
then, we get the value of x.

Kanchan das said:   6 years ago
Cost p = selling p = 20.
Let cp=100.
Sp=125.
125 -------------> 100
1 -------------> 100/125
20 -------------> 100/125 * 20.
So, X = 16.

Veer M said:   5 years ago
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.
(1)

Vibin joy said:   1 decade ago
Let CP = a; SP = b;

Then 20a = bx;

Given profit % = 25;

So, b-a/a = 1/4;

Then 5a = 4b;

Compare this with 20a = bx;

Ans = x = 16;

Mr k said:   1 decade ago
One simple rule in this type of question.

When there is profit 25% it taken as 1.25

So. Equ will be : 20/x=1.25.

X=20/1.25.

X=16.


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