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?

[tex]Selling \: Price = x - (y + z - \frac{yz}{100} \%) \times 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 \% - \frac{30 \times 10}{100}\% ) \times 180 \\ \\ = 180 - (40 \% - 3\% ) \times 180\\ \\ = 180 - 37\% \times 180\\ \\ = 180 - 0.37 \times 180\\ \\ = 180 - 66.6 \\ \\ \purple {\bold{\boxed{ Selling \: Price = \$113.4}}}[/tex]

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? ​

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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?