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:
15
16
18
25
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 5 of 36.

Kapil said:   1 decade ago
@Sanjeet

Why we take selling prize = 5 ?

Nj. said:   1 decade ago
Nice Explanation Umesh!!!!! Good Job!

Vikas said:   1 decade ago
Hi Guys,
U can use a very simple method, i.e.,
Suppose,
C.P of 1 item = Rs.100
So C.P of 20 item = Rs.2000
Now profit is 25% so,
s.p of 1 Item = Rs.125 {125% of C.P}
s.p of x Item = 2000 {= C.P of 20 Items}

Therefor number of x item = 2000/125
= 16 Ans.

Dharmendra said:   1 decade ago
Suppose c.p. of 1 article is Rs. 1
so c.p. of x article is Rs. x.........(1)
now s.p. of x articles is 20.........from the question....(2)
now profit is s.p-c.p = 20-x .............(3)
now use the formula gain%=gain*100/c.p
25=(20-x)*100/x ...........(1)+(3)
now solve it.

Indika said:   1 decade ago
20cp=(100-20)
20cp=80
20cp=80/4
sp=5
20cp=80/5
x=16
selling articles=16

Rinku said:   1 decade ago
20 cp = x sp
20(cp/sp)=x
20(100/125)=x
16=x......make it simple.

Aarti said:   1 decade ago
Simple and fair explaination jacky.

Imraz said:   1 decade ago
Here said that cp of 20 article = sp of x article

So, 20*cp=x*sp ------(1)

Lets assume cp=100; from the question it is given that profit percentage=25%
so sp becomes 125

so the equaion 1 can be written as
20*100=x*125
x=(20*100)/125
x=16

Hanuman said:   1 decade ago
Chetan your answer is super, thank you.

Samy said:   1 decade ago
Thanks imraz your explanation is nice.


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