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:
355 comments Page 36 of 36.
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.
Omare Oréna said:
4 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.
Kavya said:
3 years ago
@Shahil Shaji.
Nice explanation keep rocking. Thanks.
Nice explanation keep rocking. Thanks.
Abir Saha said:
1 month ago
In ratio method,
20 c.p = x s.p
or,c.p:s.p = x:20
or, 20-x/x = 25/100
And solution is 16 RS.
20 c.p = x s.p
or,c.p:s.p = x:20
or, 20-x/x = 25/100
And solution is 16 RS.
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