Question

A shopkeeper bought two TV sets at Rs 10,000 each such that he can sell one at a profit of 10% and the other at a loss of 10%. Find his overall profit or loss.

Answer 1

The shopkeeper bought two TV sets. He made a profit by selling one and loss by selling another. So let us divide the solution into two parts:

$\begin{array}{cc}\text{The cost price of TV = Rs 10,000}& \text{The cost price of TV = Rs 10,000}\\ \text{Profit \% = 10 \% of cost price}& \text{Loss \% = 10 \% of cost price}\\ \text{According to the formula},& \text{According to the formula,}\\ \text{Profit \%}=\frac{\text{profit}}{\text{Cost price}}\times 100& \text{Loss \%}=\frac{\text{Loss}}{\text{Cost price}}\times 100\\ 10=\frac{\text{profit}}{10,000}\times 100& 10=\frac{\text{Loss}}{10,000}\times 100\\ 10=\frac{\text{profit}}{100}& 10=\frac{\text{Loss}}{100}\\ \text{Therefore , Profit = Rs 1000}& \text{Therefore, Loss = Rs 1000}\\ \text{If CP = Rs 10,000 and Profit = Rs 1000}& \text{If CP = Rs 10,000 and Loss = Rs 1000}\\ \text{Then, SP = 10,000 + 1000 = Rs 11000}& \text{Then, SP = 10,000 - 1000 = Rs 9000}\end{array}$
Total Cost price = Rs 10,000 + Rs 10,000
= Rs 20,000
Total Selling price = Rs 11,000 + Rs 9000
= Rs 20,000
As the cost price is equal to loss price, there is neither a profit nor a loss.