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 7 of 36.

Pratiksha Jena said:   5 years ago
Right, thanks for the answer @Chetan.

Rajesh said:   5 years ago
Then after 25% gain selling price of 20 articles is 2500
Then the selling price of 1 article is 2500/20 = 125.
So according to the question:

The Selling price of x article is equal to the cost price of 20 article.
Hence 125x = 2000.
X = 2000/125 = 16,
Hence the value of x 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.

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.

Mounika said:   5 years ago
Nice explanation. Thank you @Chetan.

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)

Chaitanya Galande said:   5 years ago
Let Cost price be C and Selling price be S.

Therefore we're given;
20C = S * X.
Now we're given 25 % profit percentage therefore.
C= S/125%.
Or
C = (S*100)/125.
We get C= 4S/5.
Now putting this value in equation 1.
We get;
20* 4S/5 = S*X,
On solving S gets canceled out and value of X.
We get
X=16.

Ashu said:   5 years ago
Nice explain @chetan simple & sweat.

Mir Adil Hussain said:   5 years ago
Let C.P of 20 articles = X.
Let S.P be X+20.

By profit% formulae,
125=X+20/X mul by 100.
The answer is 16.

Gopi said:   5 years ago
@Chetan and @Sanjeeth your explanations were good.


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