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 23 of 36.

Vivek said:   8 years ago
Assume C.P of 1 item = Re. 1.
Therefore, S.P of 1 item = 1.25 (Profit 25%)
For 20 items, C.P = S.P .
20 items * Re. 1 = Rs. 20. <== S.P and C.P (No of items * C.P of 1 item)
x items * Re. 1.25 = Rs. 20 <== This is to find No of items that can be sold for Rs. 20
Usual calculation, find x, bring 1.25 to R.H.S
x = 20/1.25 = 16 items.

Ankit said:   8 years ago
CP*20 = SP* X.
CP/SP=X/20.
%P=(P/CP)*100.
25=(20-X/X)*100.
X=16.

Shakilmehedy said:   8 years ago
We know, profit or loss rate=100/sell price (cost price-cell price),
25=100/x (20-x),
X=16.

Somnath Ghosh said:   8 years ago
Great Explanation @Sanjeet Kumar. Thanks A Lot.

Azad said:   8 years ago
SP/CP=20/x.
25%=1/4 so SP/CP=5/4.
Equating both x= 16.

Rohan said:   8 years ago
Thanks @Chetan.

Jay said:   8 years ago
Bekar explanation, thanks @Sanjeet.

Rajeshwar emmadoju said:   8 years ago
cp*20=sp*x-----> (1).
profit = 25%.
so,
cp=1y ,sp=1.25y.
from eq 1;

1y*20=x*1.5y.
solve x=20/1.5=16.

Subhanandhini said:   8 years ago
Hi guys,

Here , Given that S.p = 20x.
Profit = 25%.
We need to find the value of x, which is C.P
Hence, C.P=20x÷125*100
125=20x*100
125=2000x
X = 2000÷125
=16.

Rahul rajshekhar said:   8 years ago
X.SP=20CP.
SP/CP=20/x.
SUPPOSE;
SP=20.
CP=x.
profit=SP-CP=y=20-x.
profit%=y x 100/CP.
25=y x 100/x.
solve it.
then, we get the value of x.


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