Question

Find a single discount equivalent to two successive discount of $20\%$ and $10\%$.

Answer 1

$20\%$ of $x=0.2x$ [Inital price =$x]$

New price $=0.8x$
$10\%$ of $0.8x=0.08x$

$\text{New price}=(0.8-0.08)x=0.72x$

Single discount equivalent $=\frac{x-0.72x}{x}\times 100$

$=28\%$