Question

A coat originally sold for $180. If a store is offering 2 successive discounts of 30% and 10% respectively, how much would the coat costs after 2 discounts? ​

Answer 1

$113.4

Explanation:

Formula for finding the selling price after two successive discounts is given below:

`Selling \: Price = x - (y + z - (yz)/(100) \%) * x \\ \\ where \: x = \$180 \\ y = 30 \% \: \: and \: z = 10\% \\ \\ plugging \: the \: values \: of \: x \: y \: and \: z \:\\ in \: the \: above \: formula \: we \: find: \\ \\ Selling \: Price \\= 180 - (30 \% +1 0 \% - (30 * 10)/(100)\% ) * 180 \\ \\ = 180 - (40 \% - 3\% ) * 180\\ \\ = 180 - 37\% * 180\\ \\ = 180 - 0.37 * 180\\ \\ = 180 - 66.6 \\ \\ \purple {\bold{\boxed{ Selling \: Price = \$113.4}}}`