Question

A sells 2 tv sets, one at a loss of 15% and another at a profit of 15%. find the loss/gain percentage in the overall transaction?

Answer 1

Well this is neither profit nor loss.
Lets consider some points first.

Both the t.v's are at the same rate.

if percentage of loss=percentage of profit then its neutral, meaning neither profit nor loss.

Let the rate of both the tv be =10000 (IMAGINE)
(or 2x)consider this later.
First tv sold at 15% of loss.
Therefore the loss amount is
          10000x15
                100
=1500
Now lets calculate the loss price
10000-1500
=8500

Now lets calculate the profit amount of 2nd tv
we have the 15% of 10000 i.e 1500

Lets add it, as it is profit so we add the profit amount to selling price.
10000+1500
=11500

Cost of 2 t.v's=2x
                      =2(10000)
                      =20000

Now lets add the price of the both the sold tv's
11500+8500
=20000

cost of 2 tv's =20000
so they sold both the tv's at expected rate even after loss and profit they made no profit and had no loss.

Or in shorter words
Profit%-Loss%=+
+ sign denotes profit
Profit%-Loss%=-
-sign denotes loss
Profit%-Loss%=0
0 denotes neither profit nor loss

15%-15%=0%
which is therefore neither profit nor loss.
sorry for lengthy answer hope u understood.
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Thank u.