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

Solution :-

As the cost price of both the TV sets is not mentioned.

We shall assume that the cost price of each of the TV sets is Rs. 100 

Then, according to the question.

Situation 1 -

Sold at a loss of 15 %

Cost price - loss = selling price

100 - (100*15%)/100

⇒ 100 - 15

⇒ Selling price of 1st TV set = Rs. 85

Situation 2 -

Sold at a profit of 15 % 

Selling price = Cost price + profit

⇒ 100 + (100*15%)/100

⇒ 100 + 15

⇒ 115

so, the selling price of the 2nd TV set is Rs. 115

Now, overall gain or loss :-

S. P. of both TV sets = Rs. 85 + Rs. 115

= Rs. 200

Cost prices of two TV sets = 100 + 100

= Rs. 200

So, the cost price and the selling prices are same.

Rs. 200 - Rs. 200 = 0

Therefore, there is neither gain nor loss.

Answer 2

http://www.careerbless.com/aptitude/qa/profitloss_imp.php (for formulas)



Suppose a trader sells two objects at the same price, one at a profit of x%x% and another at a loss of x%.x%. Then he always incurs a net loss expressed as
net loss percentage =(x/10)^2

then the answer of your question is 2.25% loss