Question

A television was sold at a loss of $5\%.$ If it was sold for $Rs.2000$ more the profit would have been $5\%.$ What is the cost price of the television

Answer 1

Let the cost price of the television be $Rs.x.$

When it was sold at $5\%$ loss, then Selling price $=x-5\%$ of $x=x[1-\frac{5}{100}]$

$=Rs.0.95x$

When it was sold at $Rs2000$ more then, the Selling price will be $Rs.0.95x+2000$

Then, he will get a profit of $5\%$.

Profit $\%=\frac{Profit}{CP}\times 100\%$

$\Rightarrow 5\%=\frac{SP-CP}{CP}\times 100\%$

$\Rightarrow 5=\frac{0.95x-2000-x}{x}\times 100$

$\Rightarrow \frac{5}{100}x=-0.05x+2000$

$\Rightarrow 0.05x=-0.05x+2000$

$\Rightarrow 0.05x+0.05x=2000$

$\Rightarrow 0.1x=2000$

$\Rightarrow x=\frac{2000}{0.1}$

$\Rightarrow x=20000$

Hence, the cost price of television is $Rs.20000$