Discussion :: Profit and Loss
- A person purchases some article at the rate of 4 articles for rupees 5 and sells them at the rate of 5 articles for rupees 4. Find the total profit or loss in %.
Answer : Option B
Explanation :
The C.P of 4 article is rupees 5 and selling price of 5 article is rupees 4.
Note: article ratio should be the same in both cases.
i.e., Article price
C.P = 4 5
S.P = 5 4
As the article is same in both the cases, we should make the article equal.
To make article value equal, we need to multiply C.P with 5 and S.P with 4. The change made in Article should also be performed at a price to calculate the % profit or loss.
i.e.,   Article price
C.P = 4* 5 = 20 5* 5 = 25
S.P = 5 * 4= 20 4* 4 = 16
The difference between the price of C.P and S.P is 25-16 = 9.
Now, apply % formula:
Profit or Loss % = ((difference between C.P and S.P)/ C.P) * 100
Note: if S.P > C.P = profit
If C.P > S.P = loss
Here C.P = 25, and S.P = 16
So, Loss % = (9/25) * 100 = 36%
Hence, the person incurs a loss of 36%.
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