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 15 of 36.
Haritha said:
1 decade ago
c.p of 20 articles= s.p of x articles .........1
s.p=((100+profit%)/100)*c.p
hence from the above values we get
s.p=(5/4)c.p
substitute in 1 we get
X=16
s.p=((100+profit%)/100)*c.p
hence from the above values we get
s.p=(5/4)c.p
substitute in 1 we get
X=16
Santanu said:
8 years ago
This can be done in a simple way:
Say CP is 100, thus SP is 125 (as 25% gain).
According to the condition,
20X100 = 125X x
or, x = 2000/125 = 16 (Ans: b).
Say CP is 100, thus SP is 125 (as 25% gain).
According to the condition,
20X100 = 125X x
or, x = 2000/125 = 16 (Ans: b).
Aayush jain said:
8 years ago
We can solve this problem by options.
20 cp= x sp.
cp/sp = x/20.
In the question it is given that profit is 25%.
If we take x=16 we can get out the answer.
20 cp= x sp.
cp/sp = x/20.
In the question it is given that profit is 25%.
If we take x=16 we can get out the answer.
Riya said:
1 decade ago
Solution:
Suppose,
CP=4.
SP=5.
Given in the question that,
CP of 20 Articles=SP of x Article.
Now put the value,
20*4 = x*5.
80 = x*5.
80/5 = x.
16 = x.
Suppose,
CP=4.
SP=5.
Given in the question that,
CP of 20 Articles=SP of x Article.
Now put the value,
20*4 = x*5.
80 = x*5.
80/5 = x.
16 = x.
Taniya said:
1 decade ago
I wanted to ask why do we take the C.P of x articles? in the Question it is stated that the C.P of 20 articles so we should find the C.P of 20 instead, no?
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.
Shal said:
1 year ago
Let cp=100 for 20 articles.
Profit=25%
Therefore, sp = 125.
Now for 125 - 20 articles,
100 - how many articles?
20 x 100/125 = 16.
So, 16 is the answer.
Profit=25%
Therefore, sp = 125.
Now for 125 - 20 articles,
100 - how many articles?
20 x 100/125 = 16.
So, 16 is the answer.
(50)
Surbhi garg said:
3 years ago
CP of 20 articles = SP of x article.
Profit% = 25.
Let's CP = 100rs.
SP = 125.
CP of 20 articles = SP of x article.
20*100 = 125 * x.
x =2000/125,
x=16.
Profit% = 25.
Let's CP = 100rs.
SP = 125.
CP of 20 articles = SP of x article.
20*100 = 125 * x.
x =2000/125,
x=16.
(63)
Vibhore said:
8 years ago
@Utsav.
Profit = SP - CP.
Therefore Profit = (20/x) - 1.
And Profit % = (Profit/CP)X100.
Therefore Profit % = (((20/x)-1)/1)X100 = 25 %.
Ans x = 16.
Profit = SP - CP.
Therefore Profit = (20/x) - 1.
And Profit % = (Profit/CP)X100.
Therefore Profit % = (((20/x)-1)/1)X100 = 25 %.
Ans x = 16.
Sree said:
5 months ago
Deriving formula:
S.P = [100 + gain% / 100 ] x C.P.
S.P is x.
C.P is 20x, so one CP is x/20,
x = 125/100 x (x/20),
x = 125x/2000,
2000x = 125x,
= 16.
S.P = [100 + gain% / 100 ] x C.P.
S.P is x.
C.P is 20x, so one CP is x/20,
x = 125/100 x (x/20),
x = 125x/2000,
2000x = 125x,
= 16.
(8)
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