Question

A department store has a discount on shoes based on a percentage of the price. Suppose one pair of shoes is marked down from 80 to 64. What is the price for a $200 pair of shoes after the same discount is applied.

Answer 1

The price for a $200 pair of shoes after the same discount is applied is $160.

Explanation:

A department store has a discount on shoes based on a percentage of the price.

Suppose one pair of shoes is marked down from $80 to $64.

Now, to find the price for a $200 pair of shoes after the same discount is applied.

So, we need to get the discount percentage first:

Initial marked price = $80.

Price marked down = $64.

Thus, discount = $80 - $64 = $16.

Discount percentage =
`(16)/(80) * 100.`

`Discount\ percentage=(1600)/(80) .`

`Discount\ percentage=20\%.`

Now, to get the price for a $200 pair of shoes after the same discount:

$200 - 20% of $200.

`=200-(20)/(100) * 200`

`=200-0.20* 200.`

`=200-40.`

`=\$160.`

Therefore, the price for a $200 pair of shoes after the same discount is applied is $160.