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 32 of 36.
Rhushikesh shirke said:
4 years ago
Good explanation, thanks @Sanjeet Kumar.
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.
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.
Aksh sharma said:
4 years ago
Cp of 20 articles = SP of x article.
It means cp = x , Sp = 20.
By formula profit % = (sp - cp) 100/cp.
Therefore. Profit % = Profit % ( for comparing),
(20- x)100/x = 25,
By solving x = 16.
It means cp = x , Sp = 20.
By formula profit % = (sp - cp) 100/cp.
Therefore. Profit % = Profit % ( for comparing),
(20- x)100/x = 25,
By solving x = 16.
Arotorres said:
4 years ago
20 * C.P = x * S.P ---> (1)
S,P = 1C.P + 0.25 * C.P
S.P = 1.25CP ---> (2).
From (1)
20 * C.P = x * 1.25 * C.P.
c.p gets cancelled;
20/1.25 = x.
x = 16.
S,P = 1C.P + 0.25 * C.P
S.P = 1.25CP ---> (2).
From (1)
20 * C.P = x * 1.25 * C.P.
c.p gets cancelled;
20/1.25 = x.
x = 16.
Satya said:
4 years ago
The exact value is 25. Answer D.
NSK said:
4 years ago
[20 Article *(C1)= X article * (C2)] (C1 OR C2 are cost per Aricle).
{i.e C2 is more than C1 and also the number of articles are less than 20}
*************************************************
profit is 25%.
25={(C2 -C1)/C1}*100
C2=4/5C1.
ie: 20 * C1 = X*(4/5)C1.
X = 16.
{i.e C2 is more than C1 and also the number of articles are less than 20}
*************************************************
profit is 25%.
25={(C2 -C1)/C1}*100
C2=4/5C1.
ie: 20 * C1 = X*(4/5)C1.
X = 16.
Nithya said:
4 years ago
Guys, it just focus only the equation.
Here;
20.cp= x.sp ----------> (1)
Let assume cp=100
Here given gain%=25
Now the equation of sp is;
Sp=(100+gain%)*cp/100.
=(100+25)*100/100
=125.
From equation (1)
20 * 100 = x.125
X = 2000/125
=16.
Here;
20.cp= x.sp ----------> (1)
Let assume cp=100
Here given gain%=25
Now the equation of sp is;
Sp=(100+gain%)*cp/100.
=(100+25)*100/100
=125.
From equation (1)
20 * 100 = x.125
X = 2000/125
=16.
Manoj said:
4 years ago
Let c.p of 1article=1Rupee.
Formula;
s.p=((100+g%)/100)*c.p.
s.p=((100+25)/100)*1=>1.25,
1aticle's s.p is=1.25,
1.25*16=20.
So 16 articles s.p is equal to c.p of 20.
Formula;
s.p=((100+g%)/100)*c.p.
s.p=((100+25)/100)*1=>1.25,
1aticle's s.p is=1.25,
1.25*16=20.
So 16 articles s.p is equal to c.p of 20.
Komal said:
3 years ago
CP of 20A= S.P OF X ARTICLE.
# SP OF X =20.
So we know S.P of X as well as profit.
SIMPLY APPLY THE FORMULA.
# S.P = (100+ PROFIT %)*CP.
20 = 100* 25/100*C.P.
# C.P = 16.
# ACTUAL VALUE OF X =16.
# SP OF X =20.
So we know S.P of X as well as profit.
SIMPLY APPLY THE FORMULA.
# S.P = (100+ PROFIT %)*CP.
20 = 100* 25/100*C.P.
# C.P = 16.
# ACTUAL VALUE OF X =16.
(1)
Omare Oréna said:
3 years ago
Calculating gain w.r.t a single article:
Assume 20 articles cost a certain Price, say 'P'.
That means C.P of 1 article = P/20
X articles were sold at a Price equivalent to the cost of 20 articles, 'P'
Similarly, S.P of 1 article = P/X.
(S.P - C.P)/C.P = 25/100.
Calculate that & find that X = 16.
N.B: For gain, X must be < 20 because fewer items cover the initial cost (investment) so that the rest of the items make up the profit.
Assume 20 articles cost a certain Price, say 'P'.
That means C.P of 1 article = P/20
X articles were sold at a Price equivalent to the cost of 20 articles, 'P'
Similarly, S.P of 1 article = P/X.
(S.P - C.P)/C.P = 25/100.
Calculate that & find that X = 16.
N.B: For gain, X must be < 20 because fewer items cover the initial cost (investment) so that the rest of the items make up the profit.
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