Question

When a person sells two similar items, one at a gain of say x%, and the other at a loss of x%, then the seller always incurs a loss given by?

Answer 1

Answer:

No profit no gain.

Explanation:

We can understand this problem to solve one example.

For example: If the CP of a product is $100, and I sell 2 such products, one at a profit of 25% and other at a loss of 25%:

So, one product is sold for $125 and the second one for $75

and the Total cost price is $100*2 = $200

Net profit/loss % = (Total Revenue - Total Cost/Total Cost) * 100

= (125+75 -200) * $\frac{100}{200}$

= 0 %

So, No profit no gain

Answer 2

Answer:

Step-by-step explanation:

The seller will incur a loss equal to (x/10)^2 only if the Selling Price is same.

This can be verified by an example.

Let SP = Rs 990 for each article and let him make a profit of 10% on one and incur a loss of 10% on the other article.

CP of 1st article = 990/110 x 100 = 900

CP of 2nd article = 990/90 x 100 = 1100

Total CP = 900 + 1100 = 2000

Total SP = 990 x 2 = 1980

Net Loss = 2000 - 1980 = 20

Or 20/2000 x 100 = 1% Loss

=> (10/10)^2 Loss