Question:
Find the single discount equivalent to two successive discounts of 20% and 10%.
Solution:
Let the marked price be Rs 100 .
Then, first discount on it $=$ Rs 20
Price after the first discount $=\mathrm{Rs}(100-20)$
= Rs 80
Second discount on it $=10 \%$ of Rs 80
$=\operatorname{Rs}\left(80 \times \frac{10}{100}\right)$
$=\operatorname{Rs} 8$
Price after the second discount $=$ Rs. $(80-8)$
= Rs72
Net selling price $=$ Rs. 72
Single discount equivalent to given successive discounts $=(100-72) \%$
= 28 %
$\therefore$ The single discount equivalent to given successive discounts is $28 \%$.