Question

if the selling price of an article is 4/5th of its cost price ,find the loss per cent

Answer 1

Hi friend!

Cost price =
$x$
Selling price =
$\frac{4x}{5}$

Loss = CP - SP
$= x - \frac{4x}{5} \\ \\ \frac{5x}{5} - \frac{4x}{5} \\ \\ \frac{x}{5}$

Loss %

$\frac{loss}{cost \: price} \times 100 \\ \\ = \frac{x}{5} \div x \times 100 \\ \\ \frac{x}{5} \times \frac{1}{x} \times 100 \\ \\ = \frac{1}{5} \times 100 \\ \\ = 20\%$

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