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:
354 comments Page 35 of 36.

Anjali&sandhya said:   1 decade ago
Chetan nice answer anjali and sandhya.

Indu said:   1 decade ago
Very nice and simple explanation sanjeet. Thanks.

Vasanthi said:   1 decade ago
Sanjeet your explanation is very nice.

Chetan said:   1 decade ago
Hi guys,

20 article C.P = 100rs(say)

Note: When given profit percentage, he calculates it only after selling all goods.

So 20 articles S.P = 125 (SINCE PROFIT PERCENT =25%)
now consider only S.P
125 rs --->20 articles
100 rs --->? articles
100*20/125=16

That is it simple.

Aamir said:   1 decade ago
I cant undrstnd this question plz any help me to undrstnd this

Anbu said:   1 decade ago
Sanjeet your explanation is very good.

Sarath said:   1 decade ago
Can you explain me about the assumptions it makes me difficult to understand?

Sid said:   1 decade ago
Thanks sanjeet, nice explanation.

Sanjeet kumar said:   1 decade ago
Hi every one
here this problem is a bit difficult to understand. let me give u an another example then we will come to this.

let c.p. of 1 article is Rs. 4 and
let s.p. of 1 article is Rs. 5

now c.p. of 20 article is 20*4=80
and s.p.of 16 article is 16*5=80
the first line of the question said these r equal that is Rs. 80

now come to our problem above.
let c.p of 1 article is Rs.1
here given that c.p. of 20 article is equal to s.p. of x article

so let us calculate c.p. of 20 article=Rs 20
hence s.p. of x article is Rs. 20
so s.p. of 1 article =20/x

profit on one article= (20/x)-1
% profit=((20/x)-1)*100)/1=25

hence x=16
(1)

Sundar said:   2 decades ago
Hi Pinky,

Please read the the question carefully and the first two lines of the explanation given, then you will understand the answer for your question.

{
The cost price of 20 articles is the same as the selling price of x articles.

Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.

S.P. of x articles = Rs. 20.
}

Have a nice guys.!


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