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 11 of 36.

Shine said:   1 decade ago
Since the CP & SP are equal,

Profit%= ( (no.of items left over) / (no.of items sold) ) *100.

Let no.of items left over left over be X.

(X) / (20-X) = 0.25

On solving, no.of items sold= (20-X) =16.

Sameer said:   1 decade ago
@Sanjeet nice explanation.

JOHNNY said:   1 decade ago
How we came to an assumption that cost of cost of each article = "RS 1" and cost of X articles is rs "X"

Vinay sharma said:   1 decade ago
Let the cost price of one article=Rs 100
profit=25%
SP =100+25=125
NOW
CP of 20 article =SP of X article
20 * 100 = 125 * X
X =16

Meena said:   1 decade ago
20*c.p=y --->1
s.p*x=y --->2
Cost price of 20 articles is 100%
Then selling price of x articles is 125%
20*100=2000 --->1
125*x=2000 --->2
x=(2000/125)=16
.'. x=16

Mr k said:   1 decade ago
One simple rule in this type of question.

When there is profit 25% it taken as 1.25

So. Equ will be : 20/x=1.25.

X=20/1.25.

X=16.

Ashima said:   1 decade ago
Let CP of 1 article be 100rs.
p = 25 (because P% = P/CP*100).
SP = 100 +25 = Rs 125 ( P=SP-CP).

No of articles : CP (unitary method)
1 article - Rs 100.
20 articles - Rs 2000.

No. of articles: SP (unitary method)
1 article - Rs 125
x articles - Rs 2000 (remember CP of 20 = SP of x articles)
x= 2000/125 = 16 articles.

Sri Ram Kumar said:   1 decade ago
I got the answer but I am not sure the solution is correct any suggestions please:

C.P of 20 articles=125% of S.P of X articles.

20=125/100 S.P of X articles(here we have to assume C.P of one article to be 1 rupee).

20*100/125=16.

Manish said:   1 decade ago
Given C.P of 20 articles = S.P of X articles,

If we consider C.P of 1 article is Rs.1 the S.P of X = 20. from this S.P of 1 articles will be 20/X.

So (20/X - 1)/1*100 =25 which give 16 as a Answer .

Sonu said:   1 decade ago
Its very simple to find out the value of x.

The cost price of 20 articles = the selling price of x articles. Here profit is 25% So,

20 = x*(125/100).

2000/125 = x.

So x = 16.


Post your comments here:

Your comments will be displayed after verification.