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 10 of 36.
Preethi said:
1 decade ago
Thank you sanjeet kumar.
Vishwam Chand said:
1 decade ago
Chetan, Roopa, and Vikas have given the best explanations.
Shweta said:
1 decade ago
Thanks sanjeet. Good and very clear example and explanation.
Saranya said:
1 decade ago
I am can not understand in this problem. So please give any formulas (OR) Please give some example problems.
PINAKI CHATTERJEE said:
1 decade ago
CP * 20 = SP * X,
25 % PROFIT MEANS (CP+CP*25/100)=1.25 CP
NOW YOU CAN WRITE SP= 1.25 CP,
CP*20=1.25 CP * X
X=20/1.25
X= 16
25 % PROFIT MEANS (CP+CP*25/100)=1.25 CP
NOW YOU CAN WRITE SP= 1.25 CP,
CP*20=1.25 CP * X
X=20/1.25
X= 16
Vishnu.pillai said:
1 decade ago
Thanks a lot sanjeet.
Puneet Goel said:
1 decade ago
Let c.p. IS a rs.
Then C.P. of 20 articles =20a = S.P. of x articles
So S.P. of 1 articles=(20.a)/x
So Gain=((20.a)/x)-(a)=a(20-x)/x
Now as Gain%=gain*100/C.P= ((a(20-x)/x)*100)/a=(20-x)*100/x
25=((20-x)/x)*100 => 25x=2000-100x => x=2000/125 = 16
Hence Proved :)
Then C.P. of 20 articles =20a = S.P. of x articles
So S.P. of 1 articles=(20.a)/x
So Gain=((20.a)/x)-(a)=a(20-x)/x
Now as Gain%=gain*100/C.P= ((a(20-x)/x)*100)/a=(20-x)*100/x
25=((20-x)/x)*100 => 25x=2000-100x => x=2000/125 = 16
Hence Proved :)
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.
Tannu said:
1 decade ago
@sanjeet.
You really solve this problem in simple manner and it easy to understand. Thanks.
You really solve this problem in simple manner and it easy to understand. Thanks.
Abhi said:
1 decade ago
Hii.... friends i have done this problem in this method.
Dont know whether correct or wrong.please justify me.
c.p*20=s.p*x
Gain=25%
x=?
we know s.p=(100+gain%)/100 *cp
c.p*20=125/100 *cp *x
we will cancel cp on both sides.
by solving we will get x=16.
Dont know whether correct or wrong.please justify me.
c.p*20=s.p*x
Gain=25%
x=?
we know s.p=(100+gain%)/100 *cp
c.p*20=125/100 *cp *x
we will cancel cp on both sides.
by solving we will get x=16.
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