# What single discount is equivalent to successive discounts of 10% and 20%?

Sep 14, 2017

18%

#### Explanation:

After an initial discount of 10%
you would pay 90% of the original price.

After a second 20% discount
you would pay 80% of the initially discounted price
or 80% of 90% of the original price.

$\frac{80}{100} \times \frac{90}{100} \times \text{ original price" = 72/100" original price} \mathmr{and}$72% or the original price.

Paying 72% of the original price implies a discount of 18%#