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:
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 33 of 36.
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.
Let S.P be X+20.
By profit% formulae,
125=X+20/X mul by 100.
The answer is 16.
Ashu said:
5 years ago
Nice explain @chetan simple & sweat.
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.
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.
Mounika said:
5 years ago
Nice explanation. Thank you @Chetan.
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.
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.
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.
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.
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.
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.
Siddhesh Mhatre said:
5 years ago
20*cp = x*sp.
assume cp = 100 and;
sp = profit + cp = 25 + 100 = 125.
Therefore above equation becomes,
20 * 100 = x * 125.
x = 16.
assume cp = 100 and;
sp = profit + cp = 25 + 100 = 125.
Therefore above equation becomes,
20 * 100 = x * 125.
x = 16.
Hrithik said:
5 years ago
Here you can also slove in the following way.
Articales left = 20 - x.
Sold articales = x.
The Profit percentage = (articles left / sold articles) X 100.
25 = (( 20-x )/x) X 100.
And x = 16.
Articales left = 20 - x.
Sold articales = x.
The Profit percentage = (articles left / sold articles) X 100.
25 = (( 20-x )/x) X 100.
And x = 16.
Pratiksha Jena said:
5 years ago
Right, thanks for the answer @Chetan.
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