A shopkeeper bought two TV sets at random $15000$ each. He sold one at profit of $25 %$ and the other at a loss of $25 %$ .find out overall profit or loss percentage.

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Solution

Given there are two conditions:
(i) One in which he gets $25 %$ profit.
Selling price $= [100 % + \frac{profit}{100}] \times$ C.P
$= [\frac{100}{100} + \frac{25}{100}] \times 15000$
$= \frac{125}{100} \times 15000$
$= 125 \times 150$
Rs $= 18750$
(ii) Other in which he gets $25 %$ loss.
Selling price $= [100 % - \frac{loss}{100}]$ C.P
$= [\frac{100}{100} - \frac{25}{100}] \times 15000$
$= \frac{75}{100} \times 15000$
$= 75 \times 150$
Rs. $= 11250$
Thus, total selling price $= 18750 + 11250$
Rs. $= 30000$
Cost price $= 15, 000 + 15, 000$
Rs. $= 30, 000$
Thus, S.P $=$ C.P
Therefore, it is neither Loss nor Profit.

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A shopkeeper bought two TV sets at random 15000 each. He sold one at profit of 25% and the other at a loss of 25%.find out overall profit or loss percentage.

A shopkeeper bought two TV sets at random $15000$ each. He sold one at profit of $25 %$ and the other at a loss of $25 %$ .find out overall profit or loss percentage.