Question

Fins a single discount equivalent (in $\%$) to the discount series $25\%,20\%$ and $10\%$

Answer 1

Let the marked price of the article be Rs. $100$.

Then a single discount equivalent to the discount series is
$=(100-\frac{100-25}{100}\times \frac{100-20}{100}\times \frac{100-10}{100}\times 100)\%$
$=(100-\frac{75}{100}\times \frac{80}{100}\times \frac{90}{100}\times 100)\%$
$=(100-\frac{3}{4}\times \frac{4}{5}\times \frac{9}{10}\times 100)\%$
$=(100-54)\%$
Hence, the given discount series is equivalent to a single discount of $46\%$.