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:
353 comments Page 26 of 36.
Mamatha said:
8 years ago
Nice explanation guys especially @Jyotsna your formula really works out.
Bharath said:
8 years ago
Just follow the below simple steps.
We assumed that CP of each article is Rs.1 so our SP
Selling Price 20
Profit Percentage 25%
cost Price ?
Well, we all know that SP is inclusive of Profit 25 Percent.Hence in order to calculate the profit, we should calculate as follows 25*125/25 = 4.
Now just deduct your profit from SP.
Which brings up = 16.
We assumed that CP of each article is Rs.1 so our SP
Selling Price 20
Profit Percentage 25%
cost Price ?
Well, we all know that SP is inclusive of Profit 25 Percent.Hence in order to calculate the profit, we should calculate as follows 25*125/25 = 4.
Now just deduct your profit from SP.
Which brings up = 16.
Shilpa said:
8 years ago
How did we get profit % as 25%? Please explain.
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.
Prabhu said:
8 years ago
Say c.p of 20 articles =Rs.100.
S.P of 20 articles = Rs.125 (Because Profit is 25%),
S.P of 1 article = 125/20,
Now S.P of X articles =(125/20)*x =125x/20,
now S.P of X articles = C.P of 20 Articles,
125x/20 = 100,
x= (100*20)/125,
Then value of X =16.
That's it.
S.P of 20 articles = Rs.125 (Because Profit is 25%),
S.P of 1 article = 125/20,
Now S.P of X articles =(125/20)*x =125x/20,
now S.P of X articles = C.P of 20 Articles,
125x/20 = 100,
x= (100*20)/125,
Then value of X =16.
That's it.
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.
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.
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.
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.
25%=1/4 so SP/CP=5/4.
Equating both x= 16.
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