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 9 of 36.
Riya said:
1 decade ago
Let us assume C.P of 20 articles = Rs. 100.
Then S.P of x articles = Rs. 100.
S.P of 20 articles = Rs. 125 (as profit= 25%).
Therefore 1 article = 125/20.
x article = (125*x) /20.
Which is again equals to 100.
Hence (125*x) /20=100.
x=16.
Then S.P of x articles = Rs. 100.
S.P of 20 articles = Rs. 125 (as profit= 25%).
Therefore 1 article = 125/20.
x article = (125*x) /20.
Which is again equals to 100.
Hence (125*x) /20=100.
x=16.
Naveen said:
2 years ago
Let, the cost of 1 article is 1.
Then CP of articles = 20.
According to the statement, CP of articles is equal to the SP of x.
So, SP of x =20.
And there is a 25% profit in this SP.
Then CP of x.
125% of x = 20.
Here x is CP.
X = 16.
Then CP of articles = 20.
According to the statement, CP of articles is equal to the SP of x.
So, SP of x =20.
And there is a 25% profit in this SP.
Then CP of x.
125% of x = 20.
Here x is CP.
X = 16.
(53)
Ashutosh Khadka said:
3 years ago
Here is logical method:
25% means 1/4.
Now find the number which is directly divided by 4 in the option.
There is only one option which is directly divided by 4.
Therefore Option is (B) 16.
25% means 1/4.
Now find the number which is directly divided by 4 in the option.
There is only one option which is directly divided by 4.
Therefore Option is (B) 16.
(150)
Rahul said:
10 years ago
This question is quite simple but the language or the way of asking made in inconvenient to solve. Here is another way to ask the same question.
Cost of an article is 1/20. If you sell it at 25% profit then find out the Selling price?
Cost of an article is 1/20. If you sell it at 25% profit then find out the Selling price?
Elvina said:
4 years ago
20cp= xsp ---> (1)
Therefore sp= 20cp/x.
profit%= (profit/cp)100= (sp-cp)100
25=( sp-cp)100
Now substitute the value of sp or cp from (1).
25 = (20cp/x - cp)/cp multiplied by 100,
cp will get cancelled and then solve for x to get 16.
Therefore sp= 20cp/x.
profit%= (profit/cp)100= (sp-cp)100
25=( sp-cp)100
Now substitute the value of sp or cp from (1).
25 = (20cp/x - cp)/cp multiplied by 100,
cp will get cancelled and then solve for x to get 16.
Kalyani said:
5 months ago
Let us assume c.p of one article = rs.1.
c.p of x articles = x,
s.p of x articles = c.p of 20 articles = 20,
profit = s.p-c.p = 20-x.
profit% = 25%.
profit% = (profit/c.p )* 100.
25 = (20-x/x )*100.
25x = 2000-100x.
2000 = 125x.
x=16.
c.p of x articles = x,
s.p of x articles = c.p of 20 articles = 20,
profit = s.p-c.p = 20-x.
profit% = 25%.
profit% = (profit/c.p )* 100.
25 = (20-x/x )*100.
25x = 2000-100x.
2000 = 125x.
x=16.
(13)
Nithin said:
9 years ago
Guys, I will tell you a basic logic which I felt.
Assumption but it works
25% of profit.
Means
It can be
Sp - Cp = Profit.
125 - 100 = 25.
So no of items which can be bought is 100/125 = 8.
So, the answer must be a multiple of 8.
Assumption but it works
25% of profit.
Means
It can be
Sp - Cp = Profit.
125 - 100 = 25.
So no of items which can be bought is 100/125 = 8.
So, the answer must be a multiple of 8.
Sri Ram Kumar said:
1 decade ago
I got the answer but I am not sure the solution is correct any suggestions please:
C.P of 20 articles=125% of S.P of X articles.
20=125/100 S.P of X articles(here we have to assume C.P of one article to be 1 rupee).
20*100/125=16.
C.P of 20 articles=125% of S.P of X articles.
20=125/100 S.P of X articles(here we have to assume C.P of one article to be 1 rupee).
20*100/125=16.
SulekhaReddy said:
1 decade ago
C.P = 20.
S.P = X.
Here C.P of 20 articles is same as S.P of X articles.
So, we can assume that, 20 = X.
So, X = 1/20.
S.P = [(100+profit%)/100]C.P.
X = [(100+25)/100]1/20.
= 125/100*1/20.
= 5/4*1/20 = 5/80.
= 1/16.
So X = 16.
S.P = X.
Here C.P of 20 articles is same as S.P of X articles.
So, we can assume that, 20 = X.
So, X = 1/20.
S.P = [(100+profit%)/100]C.P.
X = [(100+25)/100]1/20.
= 125/100*1/20.
= 5/4*1/20 = 5/80.
= 1/16.
So X = 16.
SM JAHID said:
8 years ago
Let,
The cp of each article is 1 tk.
The cp of 20 article is = 20 tk.
By the quetion,
The selling price of X article is 20tk.
The cp of 1 article is = 20/X.
The cp of 1 article = 20/x * 100/125.
= 16/X.
Now, 16/X = 1.
So, X = 16.
The cp of each article is 1 tk.
The cp of 20 article is = 20 tk.
By the quetion,
The selling price of X article is 20tk.
The cp of 1 article is = 20/X.
The cp of 1 article = 20/x * 100/125.
= 16/X.
Now, 16/X = 1.
So, X = 16.
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