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

Question

Hunter-Best [27]

3 years ago

11

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

oat costs after 2 discounts?

Mathematics

1 answer:

MatroZZZ [7] · Answer 1 · 2022-05-08T03:34:25+03:00

MatroZZZ [7]3 years ago

6 0

Answer:

$113.4

Step-by-step explanation:

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

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